a[n] and b[n], with lengths \c n1 and \c n2 respectively,
+ * are zero padded so that their lengths become \c N, which is greater than or equal to (n1+n2-1)
+ * and is a power of 4 as FFT implementation is radix-4.
+ * The convolution of a[n] and b[n] is obtained by taking the FFT of the input
+ * signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of
+ * the multiplied result.
+ * \par
+ * This is denoted by the following equations:
+ * A[k] = FFT(a[n],N) + * B[k] = FFT(b[n],N) + * conv(a[n], b[n]) = IFFT(A[k] * B[k], N)+ * where
A[k] and B[k] are the N-point FFTs of the signals a[n]
+ * and b[n] respectively.
+ * The length of the convolved signal is (n1+n2-1).
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Convolution.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputA_f32 points to the first input sequence
+ * \li \c srcALen length of the first input sequence
+ * \li \c testInputB_f32 points to the second input sequence
+ * \li \c srcBLen length of the second input sequence
+ * \li \c outLen length of convolution output sequence, (srcALen + srcBLen - 1)
+ * \li \c AxB points to the output array where the product of individual FFTs of inputs is stored.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ * - arm_cfft_radix4_init_f32()
+ * - arm_cfft_radix4_f32()
+ * - arm_cmplx_mult_cmplx_f32()
+ *
+ * Refer
+ * \link arm_convolution_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_convolution_example_f32.c
+ */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#if defined(SEMIHOSTING)
+#include dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]+ * + * \par Block Diagram: + * \par + * \image html dotProduct.gif + * + * \par Variables Description: + * \par + * \li \c srcA_buf_f32 points to first input vector + * \li \c srcB_buf_f32 points to second input vector + * \li \c testOutput stores dot product of the two input vectors. + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_mult_f32() + * - arm_add_f32() + * + * Refer + * \link arm_dotproduct_example_f32.c \endlink + * + */ + + +/** \example arm_dotproduct_example_f32.c + */ + +#include
+ * h = fir1(28, 6/24); + *+ * The first argument is the "order" of the filter and is always one less than the desired length. + * The second argument is the normalized cutoff frequency. This is in the range 0 (DC) to 1.0 (Nyquist). + * A 6 kHz cutoff with a Nyquist frequency of 24 kHz lies at a normalized frequency of 6/24 = 0.25. + * The CMSIS FIR filter function requires the coefficients to be in time reversed order. + *
+ * fliplr(h) + *+ * The resulting filter coefficients and are shown below. + * Note that the filter is symmetric (a property of linear phase FIR filters) + * and the point of symmetry is sample 14. Thus the filter will have a delay of + * 14 samples for all frequencies. + * \par + * \image html FIRLPF_coeffs.gif + * \par + * The frequency response of the filter is shown next. + * The passband gain of the filter is 1.0 and it reaches 0.5 at the cutoff frequency 6 kHz. + * \par + * \image html FIRLPF_response.gif + * \par + * The input signal is shown below. + * The left hand side shows the signal in the time domain while the right hand side is a frequency domain representation. + * The two sine wave components can be clearly seen. + * \par + * \image html FIRLPF_input.gif + * \par + * The output of the filter is shown below. The 15 kHz component has been eliminated. + * \par + * \image html FIRLPF_output.gif + * + * \par Variables Description: + * \par + * \li \c testInput_f32_1kHz_15kHz points to the input data + * \li \c refOutput points to the reference output data + * \li \c testOutput points to the test output data + * \li \c firStateF32 points to state buffer + * \li \c firCoeffs32 points to coefficient buffer + * \li \c blockSize number of samples processed at a time + * \li \c numBlocks number of frames + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_fir_init_f32() + * - arm_fir_f32() + * + * Refer + * \link arm_fir_example_f32.c \endlink + * + */ + + +/** \example arm_fir_example_f32.c + */ + +/* ---------------------------------------------------------------------- +** Include Files +** ------------------------------------------------------------------- */ + +#include "arm_math.h" +#include "math_helper.h" + +#if defined(SEMIHOSTING) +#include
bandGains specifies the gain in dB to apply in each band.
+ * For example, if bandGains={0, -3, 6, 4, -6}; then the output signal will be:
+ * \par
+ * \image html GEQ_outputchirp.gif
+ * \par
+ * \note The output chirp signal follows the gain or boost of each band.
+ * \par
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c testRefOutput_f32 points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c inputQ31 temporary input buffer
+ * \li \c outputQ31 temporary output buffer
+ * \li \c biquadStateBand1Q31 points to state buffer for band1
+ * \li \c biquadStateBand2Q31 points to state buffer for band2
+ * \li \c biquadStateBand3Q31 points to state buffer for band3
+ * \li \c biquadStateBand4Q31 points to state buffer for band4
+ * \li \c biquadStateBand5Q31 points to state buffer for band5
+ * \li \c coeffTable points to coefficient buffer for all bands
+ * \li \c gainDB gain buffer which has gains applied for all the bands
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_biquad_cas_df1_32x64_init_q31()
+ * - arm_biquad_cas_df1_32x64_q31()
+ * - arm_biquad_cascade_df1_init_q31()
+ * - arm_biquad_cascade_df1_q31()
+ * - arm_scale_q31()
+ * - arm_scale_f32()
+ * - arm_float_to_q31()
+ * - arm_q31_to_float()
+ *
+ * Refer
+ * \link arm_graphic_equalizer_example_q31.c \endlink
+ *
+ */
+
+
+/** \example arm_graphic_equalizer_example_q31.c
+ */
+
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#if defined(SEMIHOSTING)
+#include A * X = B, where \c X is the unknown value and can be estimated
+ * from \c A & \c B.
+ * \par
+ * The least squares estimate \c X is given by the following equation:
+ * \par
+ * X = Inverse(AT * A) * AT * B
+ *
+ * \par Block Diagram:
+ * \par
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c A_f32 input matrix in the linear combination equation
+ * \li \c B_f32 output matrix in the linear combination equation
+ * \li \c X_f32 unknown matrix estimated using \c A_f32 & \c B_f32 matrices
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_trans_f32()
+ * - arm_mat_mult_f32()
+ * - arm_mat_inverse_f32()
+ *
+ * Refer
+ * \link arm_matrix_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_matrix_example_f32.c
+ */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#if defined(SEMIHOSTING)
+#include sin(x) * sin(x) + cos(x) * cos(x) = 1+ * where \c x is the angle in radians. + * + * \par Block Diagram: + * \par + * \image html sinCos.gif + * + * \par Variables Description: + * \par + * \li \c testInput_f32 array of input angle in radians + * \li \c testOutput stores sum of the squares of sine and cosine values of input angle + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_cos_f32() + * - arm_sin_f32() + * - arm_mult_f32() + * - arm_add_f32() + * + * Refer + * \link arm_sin_cos_example_f32.c \endlink + * + */ + + +/** \example arm_sin_cos_example_f32.c + */ + +#include
variance = ((x[0] - x') * (x[0] - x') + (x[1] - x') * (x[1] - x') + ... + * (x[n-1] - x') * (x[n-1] - x')) / (N-1)+ * where,
x[n] is the input sequence, N is the number of input samples, and
+ * x' is the mean value of the input sequence, x[n].
+ * \par
+ * The mean value x' is defined as:
+ * x' = (x[0] + x[1] + ... + x[n-1]) / N+ * + * \par Block Diagram: + * \par + * \image html Variance.gif + * + * + * \par Variables Description: + * \par + * \li \c testInput_f32 points to the input data + * \li \c wire1, \c wir2, \c wire3 temporary buffers + * \li \c blockSize number of samples processed at a time + * \li \c refVarianceOut reference variance value + * + * \par CMSIS DSP Software Library Functions Used: + * \par + * - arm_dot_prod_f32() + * - arm_mult_f32() + * - arm_sub_f32() + * - arm_fill_f32() + * - arm_copy_f32() + * + * Refer + * \link arm_variance_example_f32.c \endlink + * + */ + + +/** \example arm_variance_example_f32.c + */ + +#include
arm_math.h which is placed in the Include folder.
+ * Simply include this file. If you don't want to include everything, you can also rely
+ * on headers in Include/dsp folder and use only what you need.
+ *
+ * \section example Examples
+ *
+ * The library ships with a number of examples which demonstrate how to use the library functions.
+ *
+ * \section toolchain Toolchain Support
+ *
+ * The library is now tested on Fast Models building with cmake.
+ * Core M0, M4, M7, M33, M55, A32 are tested.
+ *
+ *
+ * \section preprocessor Preprocessor Macros
+ *
+ * Each library project have different preprocessor macros.
+ *
+ * - ARM_MATH_BIG_ENDIAN:
+ *
+ * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.
+ *
+ * - ARM_MATH_MATRIX_CHECK:
+ *
+ * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices
+ *
+ * - ARM_MATH_ROUNDING:
+ *
+ * Define macro ARM_MATH_ROUNDING for rounding on support functions
+ *
+ * - ARM_MATH_LOOPUNROLL:
+ *
+ * Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions
+ *
+ * - ARM_MATH_NEON:
+ *
+ * Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions.
+ * It is not enabled by default when Neon is available because performances are
+ * dependent on the compiler and target architecture.
+ *
+ * - ARM_MATH_NEON_EXPERIMENTAL:
+ *
+ * Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of
+ * of some DSP functions. Experimental Neon versions currently do not have better
+ * performances than the scalar versions.
+ *
+ * - ARM_MATH_HELIUM:
+ *
+ * It implies the flags ARM_MATH_MVEF and ARM_MATH_MVEI and ARM_MATH_MVE_FLOAT16.
+ *
+ * - ARM_MATH_HELIUM_EXPERIMENTAL:
+ *
+ * Only taken into account when ARM_MATH_MVEF, ARM_MATH_MVEI or ARM_MATH_MVE_FLOAT16 are defined.
+ * Enable some vector versions which may have worse performance than scalar
+ * depending on the core / compiler configuration.
+ *
+ * - ARM_MATH_MVEF:
+ *
+ * Select Helium versions of the f32 algorithms.
+ * It implies ARM_MATH_FLOAT16 and ARM_MATH_MVEI.
+ *
+ * - ARM_MATH_MVEI:
+ *
+ * Select Helium versions of the int and fixed point algorithms.
+ *
+ * - ARM_MATH_MVE_FLOAT16:
+ *
+ * MVE Float16 implementations of some algorithms (Requires MVE extension).
+ *
+ * - DISABLEFLOAT16:
+ *
+ * Disable float16 algorithms when __fp16 is not supported for a
+ * specific compiler / core configuration.
+ * This is only valid for scalar. When vector architecture is
+ * supporting f16 then it can't be disabled.
+ *
+ * - ARM_MATH_AUTOVECTORIZE:
+ *
+ * With Helium or Neon, disable the use of vectorized code with C intrinsics
+ * and use pure C instead. The vectorization is then done by the compiler.
+ *
+ * S points to an instance of the PID control data structure. in
+ * is the input sample value. The functions return the output value.
+ *
+ * \par Algorithm:
+ * + * y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] + * A0 = Kp + Ki + Kd + * A1 = (-Kp ) - (2 * Kd ) + * A2 = Kd + *+ * + * \par + * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant + * + * \par + * \image html PID.gif "Proportional Integral Derivative Controller" + * + * \par + * The PID controller calculates an "error" value as the difference between + * the measured output and the reference input. + * The controller attempts to minimize the error by adjusting the process control inputs. + * The proportional value determines the reaction to the current error, + * the integral value determines the reaction based on the sum of recent errors, + * and the derivative value determines the reaction based on the rate at which the error has been changing. + * + * \par Instance Structure + * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. + * A separate instance structure must be defined for each PID Controller. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Reset Functions + * There is also an associated reset function for each data type which clears the state array. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains. + * - Zeros out the values in the state buffer. + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the PID Controller functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + + /** + * @brief Instance structure for the Q15 PID Control. + */ + typedef struct + { + q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ +#if !defined (ARM_MATH_DSP) + q15_t A1; /**< The derived gain A1 = -Kp - 2Kd */ + q15_t A2; /**< The derived gain A1 = Kd. */ +#else + q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/ +#endif + q15_t state[3]; /**< The state array of length 3. */ + q15_t Kp; /**< The proportional gain. */ + q15_t Ki; /**< The integral gain. */ + q15_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q15; + + /** + * @brief Instance structure for the Q31 PID Control. + */ + typedef struct + { + q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + q31_t A2; /**< The derived gain, A2 = Kd . */ + q31_t state[3]; /**< The state array of length 3. */ + q31_t Kp; /**< The proportional gain. */ + q31_t Ki; /**< The integral gain. */ + q31_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q31; + + /** + * @brief Instance structure for the floating-point PID Control. + */ + typedef struct + { + float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + float32_t A2; /**< The derived gain, A2 = Kd . */ + float32_t state[3]; /**< The state array of length 3. */ + float32_t Kp; /**< The proportional gain. */ + float32_t Ki; /**< The integral gain. */ + float32_t Kd; /**< The derivative gain. */ + } arm_pid_instance_f32; + + + + /** + * @brief Initialization function for the floating-point PID Control. + * @param[in,out] S points to an instance of the PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_f32( + arm_pid_instance_f32 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + */ + void arm_pid_reset_f32( + arm_pid_instance_f32 * S); + + + /** + * @brief Initialization function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q31( + arm_pid_instance_q31 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q31 PID Control structure + */ + + void arm_pid_reset_q31( + arm_pid_instance_q31 * S); + + + /** + * @brief Initialization function for the Q15 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q15( + arm_pid_instance_q15 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q15 PID Control. + * @param[in,out] S points to an instance of the q15 PID Control structure + */ + void arm_pid_reset_q15( + arm_pid_instance_q15 * S); + + + + /** + * @addtogroup PID + * @{ + */ + + /** + * @brief Process function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + * @param[in] in input sample to process + * @return processed output sample. + */ + __STATIC_FORCEINLINE float32_t arm_pid_f32( + arm_pid_instance_f32 * S, + float32_t in) + { + float32_t out; + + /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */ + out = (S->A0 * in) + + (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + +/** + @brief Process function for the Q31 PID Control. + @param[in,out] S points to an instance of the Q31 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. + After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ +__STATIC_FORCEINLINE q31_t arm_pid_q31( + arm_pid_instance_q31 * S, + q31_t in) + { + q63_t acc; + q31_t out; + + /* acc = A0 * x[n] */ + acc = (q63_t) S->A0 * in; + + /* acc += A1 * x[n-1] */ + acc += (q63_t) S->A1 * S->state[0]; + + /* acc += A2 * x[n-2] */ + acc += (q63_t) S->A2 * S->state[1]; + + /* convert output to 1.31 format to add y[n-1] */ + out = (q31_t) (acc >> 31U); + + /* out += y[n-1] */ + out += S->state[2]; + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + +/** + @brief Process function for the Q15 PID Control. + @param[in,out] S points to an instance of the Q15 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ +__STATIC_FORCEINLINE q15_t arm_pid_q15( + arm_pid_instance_q15 * S, + q15_t in) + { + q63_t acc; + q15_t out; + +#if defined (ARM_MATH_DSP) + /* Implementation of PID controller */ + + /* acc = A0 * x[n] */ + acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in); + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc); +#else + /* acc = A0 * x[n] */ + acc = ((q31_t) S->A0) * in; + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc += (q31_t) S->A1 * S->state[0]; + acc += (q31_t) S->A2 * S->state[1]; +#endif + + /* acc += y[n-1] */ + acc += (q31_t) S->state[2] << 15; + + /* saturate the output */ + out = (q15_t) (__SSAT((q31_t)(acc >> 15), 16)); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + /** + * @} end of PID group + */ + + /** + * @ingroup groupController + */ + + /** + * @defgroup park Vector Park Transform + * + * Forward Park transform converts the input two-coordinate vector to flux and torque components. + * The Park transform can be used to realize the transformation of the
Ialpha and the Ibeta currents
+ * from the stationary to the moving reference frame and control the spatial relationship between
+ * the stator vector current and rotor flux vector.
+ * If we consider the d axis aligned with the rotor flux, the diagram below shows the
+ * current vector and the relationship from the two reference frames:
+ * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html parkFormula.gif
+ * where Ialpha and Ibeta are the stator vector components,
+ * pId and pIq are rotor vector components and cosVal and sinVal are the
+ * cosine and sine values of theta (rotor flux position).
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Park transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup park
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Park transform
+ * @param[in] Ialpha input two-phase vector coordinate alpha
+ * @param[in] Ibeta input two-phase vector coordinate beta
+ * @param[out] pId points to output rotor reference frame d
+ * @param[out] pIq points to output rotor reference frame q
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ * @return none
+ *
+ * The function implements the forward Park transform.
+ *
+ */
+ __STATIC_FORCEINLINE void arm_park_f32(
+ float32_t Ialpha,
+ float32_t Ibeta,
+ float32_t * pId,
+ float32_t * pIq,
+ float32_t sinVal,
+ float32_t cosVal)
+ {
+ /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
+ *pId = Ialpha * cosVal + Ibeta * sinVal;
+
+ /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
+ *pIq = -Ialpha * sinVal + Ibeta * cosVal;
+ }
+
+
+/**
+ @brief Park transform for Q31 version
+ @param[in] Ialpha input two-phase vector coordinate alpha
+ @param[in] Ibeta input two-phase vector coordinate beta
+ @param[out] pId points to output rotor reference frame d
+ @param[out] pIq points to output rotor reference frame q
+ @param[in] sinVal sine value of rotation angle theta
+ @param[in] cosVal cosine value of rotation angle theta
+ @return none
+
+ \par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the addition and subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_park_q31(
+ q31_t Ialpha,
+ q31_t Ibeta,
+ q31_t * pId,
+ q31_t * pIq,
+ q31_t sinVal,
+ q31_t cosVal)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+ q31_t product3, product4; /* Temporary variables used to store intermediate results */
+
+ /* Intermediate product is calculated by (Ialpha * cosVal) */
+ product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
+
+ /* Intermediate product is calculated by (Ibeta * sinVal) */
+ product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
+
+
+ /* Intermediate product is calculated by (Ialpha * sinVal) */
+ product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
+
+ /* Intermediate product is calculated by (Ibeta * cosVal) */
+ product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
+
+ /* Calculate pId by adding the two intermediate products 1 and 2 */
+ *pId = __QADD(product1, product2);
+
+ /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
+ *pIq = __QSUB(product4, product3);
+ }
+
+ /**
+ * @} end of park group
+ */
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup inv_park Vector Inverse Park transform
+ * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html parkInvFormula.gif
+ * where pIalpha and pIbeta are the stator vector components,
+ * Id and Iq are rotor vector components and cosVal and sinVal are the
+ * cosine and sine values of theta (rotor flux position).
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Park transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup inv_park
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Inverse Park transform
+ * @param[in] Id input coordinate of rotor reference frame d
+ * @param[in] Iq input coordinate of rotor reference frame q
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ * @return none
+ */
+ __STATIC_FORCEINLINE void arm_inv_park_f32(
+ float32_t Id,
+ float32_t Iq,
+ float32_t * pIalpha,
+ float32_t * pIbeta,
+ float32_t sinVal,
+ float32_t cosVal)
+ {
+ /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
+ *pIalpha = Id * cosVal - Iq * sinVal;
+
+ /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
+ *pIbeta = Id * sinVal + Iq * cosVal;
+ }
+
+
+/**
+ @brief Inverse Park transform for Q31 version
+ @param[in] Id input coordinate of rotor reference frame d
+ @param[in] Iq input coordinate of rotor reference frame q
+ @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ @param[in] sinVal sine value of rotation angle theta
+ @param[in] cosVal cosine value of rotation angle theta
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_park_q31(
+ q31_t Id,
+ q31_t Iq,
+ q31_t * pIalpha,
+ q31_t * pIbeta,
+ q31_t sinVal,
+ q31_t cosVal)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+ q31_t product3, product4; /* Temporary variables used to store intermediate results */
+
+ /* Intermediate product is calculated by (Id * cosVal) */
+ product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
+
+ /* Intermediate product is calculated by (Iq * sinVal) */
+ product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
+
+
+ /* Intermediate product is calculated by (Id * sinVal) */
+ product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
+
+ /* Intermediate product is calculated by (Iq * cosVal) */
+ product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
+
+ /* Calculate pIalpha by using the two intermediate products 1 and 2 */
+ *pIalpha = __QSUB(product1, product2);
+
+ /* Calculate pIbeta by using the two intermediate products 3 and 4 */
+ *pIbeta = __QADD(product4, product3);
+ }
+
+ /**
+ * @} end of Inverse park group
+ */
+
+/**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup clarke Vector Clarke Transform
+ * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
+ * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents
+ * in the two-phase orthogonal stator axis Ialpha and Ibeta.
+ * When Ialpha is superposed with Ia as shown in the figure below
+ * \image html clarke.gif Stator current space vector and its components in (a,b).
+ * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta
+ * can be calculated using only Ia and Ib.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html clarkeFormula.gif
+ * where Ia and Ib are the instantaneous stator phases and
+ * pIalpha and pIbeta are the two coordinates of time invariant vector.
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Clarke transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup clarke
+ * @{
+ */
+
+ /**
+ *
+ * @brief Floating-point Clarke transform
+ * @param[in] Ia input three-phase coordinate a
+ * @param[in] Ib input three-phase coordinate b
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ * @return none
+ */
+ __STATIC_FORCEINLINE void arm_clarke_f32(
+ float32_t Ia,
+ float32_t Ib,
+ float32_t * pIalpha,
+ float32_t * pIbeta)
+ {
+ /* Calculate pIalpha using the equation, pIalpha = Ia */
+ *pIalpha = Ia;
+
+ /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
+ *pIbeta = (0.57735026919f * Ia + 1.15470053838f * Ib);
+ }
+
+
+/**
+ @brief Clarke transform for Q31 version
+ @param[in] Ia input three-phase coordinate a
+ @param[in] Ib input three-phase coordinate b
+ @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ @return none
+
+ \par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_clarke_q31(
+ q31_t Ia,
+ q31_t Ib,
+ q31_t * pIalpha,
+ q31_t * pIbeta)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+
+ /* Calculating pIalpha from Ia by equation pIalpha = Ia */
+ *pIalpha = Ia;
+
+ /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
+ product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
+
+ /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
+ product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
+
+ /* pIbeta is calculated by adding the intermediate products */
+ *pIbeta = __QADD(product1, product2);
+ }
+
+ /**
+ * @} end of clarke group
+ */
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup inv_clarke Vector Inverse Clarke Transform
+ * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html clarkeInvFormula.gif
+ * where pIa and pIb are the instantaneous stator phases and
+ * Ialpha and Ibeta are the two coordinates of time invariant vector.
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Clarke transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup inv_clarke
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Inverse Clarke transform
+ * @param[in] Ialpha input two-phase orthogonal vector axis alpha
+ * @param[in] Ibeta input two-phase orthogonal vector axis beta
+ * @param[out] pIa points to output three-phase coordinate a
+ * @param[out] pIb points to output three-phase coordinate b
+ * @return none
+ */
+ __STATIC_FORCEINLINE void arm_inv_clarke_f32(
+ float32_t Ialpha,
+ float32_t Ibeta,
+ float32_t * pIa,
+ float32_t * pIb)
+ {
+ /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+ *pIa = Ialpha;
+
+ /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
+ *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;
+ }
+
+
+/**
+ @brief Inverse Clarke transform for Q31 version
+ @param[in] Ialpha input two-phase orthogonal vector axis alpha
+ @param[in] Ibeta input two-phase orthogonal vector axis beta
+ @param[out] pIa points to output three-phase coordinate a
+ @param[out] pIb points to output three-phase coordinate b
+ @return none
+
+ \par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ There is saturation on the subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_clarke_q31(
+ q31_t Ialpha,
+ q31_t Ibeta,
+ q31_t * pIa,
+ q31_t * pIb)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+
+ /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+ *pIa = Ialpha;
+
+ /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
+ product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
+
+ /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
+ product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
+
+ /* pIb is calculated by subtracting the products */
+ *pIb = __QSUB(product2, product1);
+ }
+
+ /**
+ * @} end of inv_clarke group
+ */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _CONTROLLER_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/controller_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/controller_functions_f16.h
new file mode 100644
index 00000000..b0bdd789
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/controller_functions_f16.h
@@ -0,0 +1,41 @@
+/******************************************************************************
+ * @file controller_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.9.0
+ * @date 23 April 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _CONTROLLER_FUNCTIONS_F16_H_
+#define _CONTROLLER_FUNCTIONS_F16_H_
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _CONTROLLER_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/distance_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/distance_functions.h
new file mode 100644
index 00000000..3123fc3a
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/distance_functions.h
@@ -0,0 +1,341 @@
+/******************************************************************************
+ * @file distance_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _DISTANCE_FUNCTIONS_H_
+#define _DISTANCE_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/statistics_functions.h"
+#include "dsp/basic_math_functions.h"
+#include "dsp/fast_math_functions.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupDistance Distance functions
+ *
+ * Distance functions for use with clustering algorithms.
+ * There are distance functions for float vectors and boolean vectors.
+ *
+ */
+
+/* 6.14 bug */
+#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) && (__ARMCC_VERSION < 6150001)
+
+__attribute__((weak)) float __powisf2(float a, int b);
+
+#endif
+
+/**
+ * @brief Euclidean distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Euclidean distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float64_t arm_euclidean_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Bray-Curtis distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Canberra distance between two vectors
+ *
+ * This function may divide by zero when samples pA[i] and pB[i] are both zero.
+ * The result of the computation will be correct. So the division per zero may be
+ * ignored.
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief Chebyshev distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief Chebyshev distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float64_t arm_chebyshev_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief Cityblock (Manhattan) distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Cityblock (Manhattan) distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float64_t arm_cityblock_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Correlation distance between two vectors
+ *
+ * The input vectors are modified in place !
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Cosine distance between two vectors
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Cosine distance between two vectors
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float64_t arm_cosine_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Jensen-Shannon distance between two vectors
+ *
+ * This function is assuming that elements of second vector are > 0
+ * and 0 only when the corresponding element of first vector is 0.
+ * Otherwise the result of the computation does not make sense
+ * and for speed reasons, the cases returning NaN or Infinity are not
+ * managed.
+ *
+ * When the function is computing x log (x / y) with x 0 and y 0,
+ * it will compute the right value (0) but a division per zero will occur
+ * and shoudl be ignored in client code.
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB,uint32_t blockSize);
+
+/**
+ * @brief Minkowski distance between two vectors
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] n Norm order (>= 2)
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+
+
+float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize);
+
+/**
+ * @brief Dice distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] order Distance order
+ * @param[in] blockSize Number of samples
+ * @return distance
+ *
+ */
+
+
+float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Hamming distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Jaccard distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Kulsinski distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Roger Stanimoto distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Russell-Rao distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Sokal-Michener distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Sokal-Sneath distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief Yule distance between two vectors
+ *
+ * @param[in] pA First vector of packed booleans
+ * @param[in] pB Second vector of packed booleans
+ * @param[in] numberOfBools Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _DISTANCE_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/distance_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/distance_functions_f16.h
new file mode 100644
index 00000000..a7ceb3c1
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/distance_functions_f16.h
@@ -0,0 +1,180 @@
+/******************************************************************************
+ * @file distance_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _DISTANCE_FUNCTIONS_F16_H_
+#define _DISTANCE_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+/* 6.14 bug */
+#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) && (__ARMCC_VERSION < 6150001)
+/* Defined in minkowski_f32 */
+__attribute__((weak)) float __powisf2(float a, int b);
+#endif
+
+#include "dsp/statistics_functions_f16.h"
+#include "dsp/basic_math_functions_f16.h"
+
+#include "dsp/fast_math_functions_f16.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ * @brief Euclidean distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float16_t arm_euclidean_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Bray-Curtis distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float16_t arm_braycurtis_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Canberra distance between two vectors
+ *
+ * This function may divide by zero when samples pA[i] and pB[i] are both zero.
+ * The result of the computation will be correct. So the division per zero may be
+ * ignored.
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float16_t arm_canberra_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief Chebyshev distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float16_t arm_chebyshev_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief Cityblock (Manhattan) distance between two vectors
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float16_t arm_cityblock_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Correlation distance between two vectors
+ *
+ * The input vectors are modified in place !
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+float16_t arm_correlation_distance_f16(float16_t *pA,float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Cosine distance between two vectors
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float16_t arm_cosine_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief Jensen-Shannon distance between two vectors
+ *
+ * This function is assuming that elements of second vector are > 0
+ * and 0 only when the corresponding element of first vector is 0.
+ * Otherwise the result of the computation does not make sense
+ * and for speed reasons, the cases returning NaN or Infinity are not
+ * managed.
+ *
+ * When the function is computing x log (x / y) with x 0 and y 0,
+ * it will compute the right value (0) but a division per zero will occur
+ * and shoudl be ignored in client code.
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+float16_t arm_jensenshannon_distance_f16(const float16_t *pA,const float16_t *pB,uint32_t blockSize);
+
+/**
+ * @brief Minkowski distance between two vectors
+ *
+ * @param[in] pA First vector
+ * @param[in] pB Second vector
+ * @param[in] n Norm order (>= 2)
+ * @param[in] blockSize vector length
+ * @return distance
+ *
+ */
+
+
+
+float16_t arm_minkowski_distance_f16(const float16_t *pA,const float16_t *pB, int32_t order, uint32_t blockSize);
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _DISTANCE_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/fast_math_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/fast_math_functions.h
new file mode 100644
index 00000000..489f2140
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/fast_math_functions.h
@@ -0,0 +1,389 @@
+/******************************************************************************
+ * @file fast_math_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _FAST_MATH_FUNCTIONS_H_
+#define _FAST_MATH_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions.h"
+
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+ /**
+ * @brief Macros required for SINE and COSINE Fast math approximations
+ */
+
+#define FAST_MATH_TABLE_SIZE 512
+#define FAST_MATH_Q31_SHIFT (32 - 10)
+#define FAST_MATH_Q15_SHIFT (16 - 10)
+
+#ifndef PI
+ #define PI 3.14159265358979f
+#endif
+
+
+/**
+ * @defgroup groupFastMath Fast Math Functions
+ * This set of functions provides a fast approximation to sine, cosine, and square root.
+ * As compared to most of the other functions in the CMSIS math library, the fast math functions
+ * operate on individual values and not arrays.
+ * There are separate functions for Q15, Q31, and floating-point data.
+ *
+ */
+
+ /**
+ * @ingroup groupFastMath
+ */
+
+
+/**
+ @addtogroup sin
+ @{
+ */
+
+/**
+ * @brief Fast approximation to the trigonometric sine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return sin(x).
+ */
+ float32_t arm_sin_f32(
+ float32_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return sin(x).
+ */
+ q31_t arm_sin_q31(
+ q31_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return sin(x).
+ */
+ q15_t arm_sin_q15(
+ q15_t x);
+
+/**
+ @} end of sin group
+ */
+
+/**
+ @addtogroup cos
+ @{
+ */
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return cos(x).
+ */
+ float32_t arm_cos_f32(
+ float32_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return cos(x).
+ */
+ q31_t arm_cos_q31(
+ q31_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return cos(x).
+ */
+ q15_t arm_cos_q15(
+ q15_t x);
+
+/**
+ @} end of cos group
+ */
+
+
+/**
+ @brief Floating-point vector of log values.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+ */
+ void arm_vlog_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+
+/**
+ @brief Floating-point vector of log values.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+ */
+ void arm_vlog_f64(
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+
+
+ /**
+ * @brief q31 vector of log values.
+ * @param[in] pSrc points to the input vector in q31
+ * @param[out] pDst points to the output vector in q5.26
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_vlog_q31(const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief q15 vector of log values.
+ * @param[in] pSrc points to the input vector in q15
+ * @param[out] pDst points to the output vector in q4.11
+ * @param[in] blockSize number of samples in each vector
+ * @return none
+ */
+ void arm_vlog_q15(const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+
+/**
+ @brief Floating-point vector of exp values.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+ */
+ void arm_vexp_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+
+/**
+ @brief Floating-point vector of exp values.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+ */
+ void arm_vexp_f64(
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+
+
+ /**
+ * @defgroup SQRT Square Root
+ *
+ * Computes the square root of a number.
+ * There are separate functions for Q15, Q31, and floating-point data types.
+ * The square root function is computed using the Newton-Raphson algorithm.
+ * This is an iterative algorithm of the form:
+ * + * x1 = x0 - f(x0)/f'(x0) + *+ * where
x1 is the current estimate,
+ * x0 is the previous estimate, and
+ * f'(x0) is the derivative of f() evaluated at x0.
+ * For the square root function, the algorithm reduces to:
+ * + * x0 = in/2 [initial guess] + * x1 = 1/2 * ( x0 + in / x0) [each iteration] + *+ */ + + + /** + * @addtogroup SQRT + * @{ + */ + +/** + @brief Floating-point square root function. + @param[in] in input value + @param[out] pOut square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +__STATIC_FORCEINLINE arm_status arm_sqrt_f32( + const float32_t in, + float32_t * pOut) + { + if (in >= 0.0f) + { +#if defined ( __CC_ARM ) + #if defined __TARGET_FPU_VFP + *pOut = __sqrtf(in); + #else + *pOut = sqrtf(in); + #endif + +#elif defined ( __ICCARM__ ) + #if defined __ARMVFP__ + __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in)); + #else + *pOut = sqrtf(in); + #endif + +#else + *pOut = sqrtf(in); +#endif + + return (ARM_MATH_SUCCESS); + } + else + { + *pOut = 0.0f; + return (ARM_MATH_ARGUMENT_ERROR); + } + } + + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut); + + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut); + + + + /** + * @} end of SQRT group + */ + + /** + @brief Fixed point division + @param[in] numerator Numerator + @param[in] denominator Denominator + @param[out] quotient Quotient value normalized between -1.0 and 1.0 + @param[out] shift Shift left value to get the unnormalized quotient + @return error status + + When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced + to the saturated negative or positive value. + */ + +arm_status arm_divide_q15(q15_t numerator, + q15_t denominator, + q15_t *quotient, + int16_t *shift); + + /** + @brief Fixed point division + @param[in] numerator Numerator + @param[in] denominator Denominator + @param[out] quotient Quotient value normalized between -1.0 and 1.0 + @param[out] shift Shift left value to get the unnormalized quotient + @return error status + + When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced + to the saturated negative or positive value. + */ + +arm_status arm_divide_q31(q31_t numerator, + q31_t denominator, + q31_t *quotient, + int16_t *shift); + + + + /** + @brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant. + @param[in] y y coordinate + @param[in] x x coordinate + @param[out] result Result + @return error status. + */ + arm_status arm_atan2_f32(float32_t y,float32_t x,float32_t *result); + + + /** + @brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant. + @param[in] y y coordinate + @param[in] x x coordinate + @param[out] result Result in Q2.29 + @return error status. + */ + arm_status arm_atan2_q31(q31_t y,q31_t x,q31_t *result); + + /** + @brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant. + @param[in] y y coordinate + @param[in] x x coordinate + @param[out] result Result in Q2.13 + @return error status. + */ + arm_status arm_atan2_q15(q15_t y,q15_t x,q15_t *result); + +#ifdef __cplusplus +} +#endif + +#endif /* ifndef _FAST_MATH_FUNCTIONS_H_ */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/fast_math_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/fast_math_functions_f16.h new file mode 100644 index 00000000..46ae06dd --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/fast_math_functions_f16.h @@ -0,0 +1,125 @@ +/****************************************************************************** + * @file fast_math_functions_f16.h + * @brief Public header file for CMSIS DSP Library + * @version V1.10.0 + * @date 08 July 2021 + * Target Processor: Cortex-M and Cortex-A cores + ******************************************************************************/ +/* + * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + +#ifndef _FAST_MATH_FUNCTIONS_F16_H_ +#define _FAST_MATH_FUNCTIONS_F16_H_ + +#include "arm_math_types_f16.h" +#include "arm_math_memory.h" + +#include "dsp/none.h" +#include "dsp/utils.h" + +/* For sqrt_f32 */ +#include "dsp/fast_math_functions.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if defined(ARM_FLOAT16_SUPPORTED) + + /** + * @addtogroup SQRT + * @{ + */ + +/** + @brief Floating-point square root function. + @param[in] in input value + @param[out] pOut square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +__STATIC_FORCEINLINE arm_status arm_sqrt_f16( + float16_t in, + float16_t * pOut) + { + float32_t r; + arm_status status; + status=arm_sqrt_f32((float32_t)in,&r); + *pOut=(float16_t)r; + return(status); + } + + +/** + @} end of SQRT group + */ + +/** + @brief Floating-point vector of log values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vlog_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize); + +/** + @brief Floating-point vector of exp values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vexp_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize); + + /** + @brief Floating-point vector of inverse values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vinverse_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize); + + /** + @brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant. + @param[in] y y coordinate + @param[in] x x coordinate + @param[out] result Result + @return error status. + */ + arm_status arm_atan2_f16(float16_t y,float16_t x,float16_t *result); + +#endif /*defined(ARM_FLOAT16_SUPPORTED)*/ +#ifdef __cplusplus +} +#endif + +#endif /* ifndef _FAST_MATH_FUNCTIONS_F16_H_ */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/filtering_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/filtering_functions.h new file mode 100644 index 00000000..28a95689 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/filtering_functions.h @@ -0,0 +1,2529 @@ +/****************************************************************************** + * @file filtering_functions.h + * @brief Public header file for CMSIS DSP Library + * @version V1.10.0 + * @date 08 July 2021 + * Target Processor: Cortex-M and Cortex-A cores + ******************************************************************************/ +/* + * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + +#ifndef _FILTERING_FUNCTIONS_H_ +#define _FILTERING_FUNCTIONS_H_ + +#include "arm_math_types.h" +#include "arm_math_memory.h" + +#include "dsp/none.h" +#include "dsp/utils.h" + +#include "dsp/support_functions.h" +#include "dsp/fast_math_functions.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + + + +#define DELTA_Q31 ((q31_t)(0x100)) +#define DELTA_Q15 ((q15_t)0x5) + +/** + * @defgroup groupFilters Filtering Functions + */ + + /** + * @brief Instance structure for the Q7 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q7_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q7; + + /** + * @brief Instance structure for the Q15 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_f32; + + /** + * @brief Instance structure for the floating-point FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + float64_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const float64_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_f64; + + /** + * @brief Processing function for the Q7 FIR filter. + * @param[in] S points to an instance of the Q7 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q7( + const arm_fir_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q7 FIR filter. + * @param[in,out] S points to an instance of the Q7 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed. + * + * For the MVE version, the coefficient length must be a multiple of 16. + * You can pad with zeros if you have less coefficients. + */ + void arm_fir_init_q7( + arm_fir_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q15 FIR filter. + * @param[in] S points to an instance of the Q15 FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q15 FIR filter (fast version). + * @param[in] S points to an instance of the Q15 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_fast_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 FIR filter. + * @param[in,out] S points to an instance of the Q15 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + * @return The function returns either + *
ARM_MATH_SUCCESS if initialization was successful or
+ * ARM_MATH_ARGUMENT_ERROR if numTaps is not a supported value.
+ *
+ * For the MVE version, the coefficient length must be a multiple of 8.
+ * You can pad with zeros if you have less coefficients.
+ *
+ */
+ arm_status arm_fir_init_q15(
+ arm_fir_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the Q31 FIR filter.
+ * @param[in] S points to an instance of the Q31 FIR filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the fast Q31 FIR filter (fast version).
+ * @param[in] S points to an instance of the Q31 FIR filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_fast_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the Q31 FIR filter.
+ * @param[in,out] S points to an instance of the Q31 FIR structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ *
+ * For the MVE version, the coefficient length must be a multiple of 4.
+ * You can pad with zeros if you have less coefficients.
+ */
+ void arm_fir_init_q31(
+ arm_fir_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the floating-point FIR filter.
+ * @param[in] S points to an instance of the floating-point FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_f32(
+ const arm_fir_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the floating-point FIR filter.
+ * @param[in] S points to an instance of the floating-point FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_f64(
+ const arm_fir_instance_f64 * S,
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point FIR filter.
+ * @param[in,out] S points to an instance of the floating-point FIR filter structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ */
+ void arm_fir_init_f32(
+ arm_fir_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point FIR filter.
+ * @param[in,out] S points to an instance of the floating-point FIR filter structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ */
+ void arm_fir_init_f64(
+ arm_fir_instance_f64 * S,
+ uint16_t numTaps,
+ const float64_t * pCoeffs,
+ float64_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Instance structure for the Q15 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ const q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */
+ } arm_biquad_casd_df1_inst_q15;
+
+ /**
+ * @brief Instance structure for the Q31 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ const q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */
+ } arm_biquad_casd_df1_inst_q31;
+
+ /**
+ * @brief Instance structure for the floating-point Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ const float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_casd_df1_inst_f32;
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ /**
+ * @brief Instance structure for the modified Biquad coefs required by vectorized code.
+ */
+ typedef struct
+ {
+ float32_t coeffs[8][4]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */
+ } arm_biquad_mod_coef_f32;
+#endif
+
+ /**
+ * @brief Processing function for the Q15 Biquad cascade filter.
+ * @param[in] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the Q15 Biquad cascade filter.
+ * @param[in,out] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cascade_df1_init_q15(
+ arm_biquad_casd_df1_inst_q15 * S,
+ uint8_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int8_t postShift);
+
+ /**
+ * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_fast_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the Q31 Biquad cascade filter
+ * @param[in] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_fast_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the Q31 Biquad cascade filter.
+ * @param[in,out] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cascade_df1_init_q31(
+ arm_biquad_casd_df1_inst_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int8_t postShift);
+
+ /**
+ * @brief Processing function for the floating-point Biquad cascade filter.
+ * @param[in] S points to an instance of the floating-point Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point Biquad cascade filter.
+ * @param[in,out] S points to an instance of the floating-point Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pCoeffsMod points to the modified filter coefficients (only MVE version).
+ * @param[in] pState points to the state buffer.
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ void arm_biquad_cascade_df1_mve_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ arm_biquad_mod_coef_f32 * pCoeffsMod,
+ float32_t * pState);
+#endif
+
+ void arm_biquad_cascade_df1_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+/**
+ * @brief Convolution of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ */
+ void arm_conv_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ */
+ void arm_conv_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+/**
+ * @brief Convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ */
+ void arm_conv_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Convolution of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ */
+ void arm_conv_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst);
+
+
+ /**
+ * @brief Partial convolution of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Partial convolution of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q7 sequences
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+/**
+ * @brief Partial convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR decimator.
+ */
+ typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR decimator.
+ */
+ typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_q31;
+
+/**
+ @brief Instance structure for floating-point FIR decimator.
+ */
+typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_f32;
+
+
+/**
+ @brief Processing function for floating-point FIR decimator.
+ @param[in] S points to an instance of the floating-point FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ */
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ @brief Initialization function for the floating-point FIR decimator.
+ @param[in,out] S points to an instance of the floating-point FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+ */
+arm_status arm_fir_decimate_init_f32(
+ arm_fir_decimate_instance_f32 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR decimator.
+ * @param[in] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_fast_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR decimator.
+ * @param[in,out] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] numTaps number of coefficients in the filter.
+ * @param[in] M decimation factor.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * blockSize is not a multiple of M.
+ */
+ arm_status arm_fir_decimate_init_q15(
+ arm_fir_decimate_instance_q15 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR decimator.
+ * @param[in] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_fast_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR decimator.
+ * @param[in,out] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] numTaps number of coefficients in the filter.
+ * @param[in] M decimation factor.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * blockSize is not a multiple of M.
+ */
+ arm_status arm_fir_decimate_init_q31(
+ arm_fir_decimate_instance_q31 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+ } arm_fir_interpolate_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+ } arm_fir_interpolate_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
+ } arm_fir_interpolate_instance_f32;
+
+
+ /**
+ * @brief Processing function for the Q15 FIR interpolator.
+ * @param[in] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_q15(
+ const arm_fir_interpolate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR interpolator.
+ * @param[in,out] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_q15(
+ arm_fir_interpolate_instance_q15 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR interpolator.
+ * @param[in] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_q31(
+ const arm_fir_interpolate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR interpolator.
+ * @param[in,out] S points to an instance of the Q31 FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_q31(
+ arm_fir_interpolate_instance_q31 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point FIR interpolator.
+ * @param[in] S points to an instance of the floating-point FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point FIR interpolator.
+ * @param[in,out] S points to an instance of the floating-point FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_f32(
+ arm_fir_interpolate_instance_f32 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the high precision Q31 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
+ const q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */
+ } arm_biquad_cas_df1_32x64_ins_q31;
+
+
+ /**
+ * @param[in] S points to an instance of the high precision Q31 Biquad cascade filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cas_df1_32x64_q31(
+ const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cas_df1_32x64_init_q31(
+ arm_biquad_cas_df1_32x64_ins_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q63_t * pState,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
+ const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_df2T_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
+ const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_stereo_df2T_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
+ const float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_df2T_instance_f64;
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_stereo_df2T_f32(
+ const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df2T_f64(
+ const arm_biquad_cascade_df2T_instance_f64 * S,
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+
+#if defined(ARM_MATH_NEON)
+/**
+ @brief Compute new coefficient arrays for use in vectorized filter (Neon only).
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the original filter coefficients.
+ @param[in] pComputedCoeffs points to the new computed coefficients for the vectorized version.
+ @return none
+*/
+void arm_biquad_cascade_df2T_compute_coefs_f32(
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pComputedCoeffs);
+#endif
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df2T_init_f32(
+ arm_biquad_cascade_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_stereo_df2T_init_f32(
+ arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df2T_init_f64(
+ arm_biquad_cascade_df2T_instance_f64 * S,
+ uint8_t numStages,
+ const float64_t * pCoeffs,
+ float64_t * pState);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_f32;
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR lattice filter.
+ * @param[in] S points to an instance of the Q15 FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_q15(
+ arm_fir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR lattice filter.
+ * @param[in] S points to an instance of the Q15 FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_q15(
+ const arm_fir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR lattice filter.
+ * @param[in] S points to an instance of the Q31 FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_q31(
+ arm_fir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR lattice filter.
+ * @param[in] S points to an instance of the Q31 FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_q31(
+ const arm_fir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the floating-point FIR lattice filter.
+ * @param[in] S points to an instance of the floating-point FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_f32(
+ arm_fir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Processing function for the floating-point FIR lattice filter.
+ * @param[in] S points to an instance of the floating-point FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_f32(
+ const arm_fir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_f32;
+
+
+ /**
+ * @brief Processing function for the floating-point IIR lattice filter.
+ * @param[in] S points to an instance of the floating-point IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_f32(
+ const arm_iir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point IIR lattice filter.
+ * @param[in] S points to an instance of the floating-point IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to the state buffer. The array is of length numStages+blockSize-1.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_init_f32(
+ arm_iir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ float32_t * pkCoeffs,
+ float32_t * pvCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 IIR lattice filter.
+ * @param[in] S points to an instance of the Q31 IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_q31(
+ const arm_iir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 IIR lattice filter.
+ * @param[in] S points to an instance of the Q31 IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to the state buffer. The array is of length numStages+blockSize.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_init_q31(
+ arm_iir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ q31_t * pkCoeffs,
+ q31_t * pvCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 IIR lattice filter.
+ * @param[in] S points to an instance of the Q15 IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_q15(
+ const arm_iir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the Q15 IIR lattice filter.
+ * @param[in] S points to an instance of the fixed-point Q15 IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to state buffer. The array is of length numStages+blockSize.
+ * @param[in] blockSize number of samples to process per call.
+ */
+ void arm_iir_lattice_init_q15(
+ arm_iir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ q15_t * pkCoeffs,
+ q15_t * pvCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the floating-point LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ float32_t mu; /**< step size that controls filter coefficient updates. */
+ } arm_lms_instance_f32;
+
+
+ /**
+ * @brief Processing function for floating-point LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_f32(
+ const arm_lms_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for floating-point LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to the coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_init_f32(
+ arm_lms_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q15_t mu; /**< step size that controls filter coefficient updates. */
+ uint32_t postShift; /**< bit shift applied to coefficients. */
+ } arm_lms_instance_q15;
+
+
+ /**
+ * @brief Initialization function for the Q15 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to the coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_init_q15(
+ arm_lms_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint32_t postShift);
+
+
+ /**
+ * @brief Processing function for Q15 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_q15(
+ const arm_lms_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q31 LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q31_t mu; /**< step size that controls filter coefficient updates. */
+ uint32_t postShift; /**< bit shift applied to coefficients. */
+ } arm_lms_instance_q31;
+
+
+ /**
+ * @brief Processing function for Q31 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_q31(
+ const arm_lms_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q31 LMS filter.
+ * @param[in] S points to an instance of the Q31 LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_init_q31(
+ arm_lms_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint32_t postShift);
+
+
+ /**
+ * @brief Instance structure for the floating-point normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ float32_t mu; /**< step size that control filter coefficient updates. */
+ float32_t energy; /**< saves previous frame energy. */
+ float32_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_f32;
+
+
+ /**
+ * @brief Processing function for floating-point normalized LMS filter.
+ * @param[in] S points to an instance of the floating-point normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_f32(
+ arm_lms_norm_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for floating-point normalized LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_init_f32(
+ arm_lms_norm_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q31 normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q31_t mu; /**< step size that controls filter coefficient updates. */
+ uint8_t postShift; /**< bit shift applied to coefficients. */
+ const q31_t *recipTable; /**< points to the reciprocal initial value table. */
+ q31_t energy; /**< saves previous frame energy. */
+ q31_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_q31;
+
+
+ /**
+ * @brief Processing function for Q31 normalized LMS filter.
+ * @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_q31(
+ arm_lms_norm_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q31 normalized LMS filter.
+ * @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_norm_init_q31(
+ arm_lms_norm_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Instance structure for the Q15 normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< Number of coefficients in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q15_t mu; /**< step size that controls filter coefficient updates. */
+ uint8_t postShift; /**< bit shift applied to coefficients. */
+ const q15_t *recipTable; /**< Points to the reciprocal initial value table. */
+ q15_t energy; /**< saves previous frame energy. */
+ q15_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_q15;
+
+
+ /**
+ * @brief Processing function for Q15 normalized LMS filter.
+ * @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_q15(
+ arm_lms_norm_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q15 normalized LMS filter.
+ * @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_norm_init_q15(
+ arm_lms_norm_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Correlation of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst);
+
+
+ /**
+ * @brief Correlation of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_f64(
+ const float64_t * pSrcA,
+ uint32_t srcALen,
+ const float64_t * pSrcB,
+ uint32_t srcBLen,
+ float64_t * pDst);
+
+
+/**
+ @brief Correlation of Q15 sequences
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+*/
+void arm_correlate_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch);
+
+
+/**
+ @brief Correlation of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+ */
+void arm_correlate_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence.
+ @param[in] srcALen length of the first input sequence.
+ @param[in] pSrcB points to the second input sequence.
+ @param[in] srcBLen length of the second input sequence.
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ */
+void arm_correlate_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch);
+
+
+ /**
+ * @brief Correlation of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+/**
+ @brief Correlation of Q31 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+void arm_correlate_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Correlation of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ */
+ void arm_correlate_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Correlation of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst);
+
+
+ /**
+ * @brief Instance structure for the floating-point sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_f32;
+
+ /**
+ * @brief Instance structure for the Q31 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q31;
+
+ /**
+ * @brief Instance structure for the Q15 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q7 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q7;
+
+
+ /**
+ * @brief Processing function for the floating-point sparse FIR filter.
+ * @param[in] S points to an instance of the floating-point sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_f32(
+ arm_fir_sparse_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ float32_t * pScratchIn,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point sparse FIR filter.
+ * @param[in,out] S points to an instance of the floating-point sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_f32(
+ arm_fir_sparse_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 sparse FIR filter.
+ * @param[in] S points to an instance of the Q31 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q31(
+ arm_fir_sparse_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ q31_t * pScratchIn,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q31 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q31(
+ arm_fir_sparse_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 sparse FIR filter.
+ * @param[in] S points to an instance of the Q15 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] pScratchOut points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q15(
+ arm_fir_sparse_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ q15_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q15 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q15(
+ arm_fir_sparse_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q7 sparse FIR filter.
+ * @param[in] S points to an instance of the Q7 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] pScratchOut points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q7(
+ arm_fir_sparse_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ q7_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q7 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q7 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q7(
+ arm_fir_sparse_instance_q7 * S,
+ uint16_t numTaps,
+ const q7_t * pCoeffs,
+ q7_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+
+
+
+
+ /**
+ * @brief floating-point Circular write function.
+ */
+ __STATIC_FORCEINLINE void arm_circularWrite_f32(
+ int32_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const int32_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+
+ /**
+ * @brief floating-point Circular Read function.
+ */
+ __STATIC_FORCEINLINE void arm_circularRead_f32(
+ int32_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ int32_t * dst,
+ int32_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t rOffset;
+ int32_t* dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+ dst_end = dst_base + dst_length;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update rOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Q15 Circular write function.
+ */
+ __STATIC_FORCEINLINE void arm_circularWrite_q15(
+ q15_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const q15_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+ /**
+ * @brief Q15 Circular Read function.
+ */
+ __STATIC_FORCEINLINE void arm_circularRead_q15(
+ q15_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ q15_t * dst,
+ q15_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0;
+ int32_t rOffset;
+ q15_t* dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+
+ dst_end = dst_base + dst_length;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Q7 Circular write function.
+ */
+ __STATIC_FORCEINLINE void arm_circularWrite_q7(
+ q7_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const q7_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+ /**
+ * @brief Q7 Circular Read function.
+ */
+ __STATIC_FORCEINLINE void arm_circularRead_q7(
+ q7_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ q7_t * dst,
+ q7_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0;
+ int32_t rOffset;
+ q7_t* dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+
+ dst_end = dst_base + dst_length;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update rOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+/**
+ @brief Levinson Durbin
+ @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1)
+ @param[out] a autoregressive coefficients
+ @param[out] err prediction error (variance)
+ @param[in] nbCoefs number of autoregressive coefficients
+ @return none
+ */
+void arm_levinson_durbin_f32(const float32_t *phi,
+ float32_t *a,
+ float32_t *err,
+ int nbCoefs);
+
+
+/**
+ @brief Levinson Durbin
+ @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1)
+ @param[out] a autoregressive coefficients
+ @param[out] err prediction error (variance)
+ @param[in] nbCoefs number of autoregressive coefficients
+ @return none
+ */
+void arm_levinson_durbin_q31(const q31_t *phi,
+ q31_t *a,
+ q31_t *err,
+ int nbCoefs);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _FILTERING_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/filtering_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/filtering_functions_f16.h
new file mode 100644
index 00000000..fd8b0bba
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/filtering_functions_f16.h
@@ -0,0 +1,237 @@
+/******************************************************************************
+ * @file filtering_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _FILTERING_FUNCTIONS_F16_H_
+#define _FILTERING_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+ * @brief Instance structure for the floating-point FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of filter coefficients in the filter. */
+ float16_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ const float16_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ } arm_fir_instance_f16;
+
+ /**
+ * @brief Initialization function for the floating-point FIR filter.
+ * @param[in,out] S points to an instance of the floating-point FIR filter structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ */
+ void arm_fir_init_f16(
+ arm_fir_instance_f16 * S,
+ uint16_t numTaps,
+ const float16_t * pCoeffs,
+ float16_t * pState,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the floating-point FIR filter.
+ * @param[in] S points to an instance of the floating-point FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_f16(
+ const arm_fir_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the floating-point Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float16_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ const float16_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_casd_df1_inst_f16;
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ /**
+ * @brief Instance structure for the modified Biquad coefs required by vectorized code.
+ */
+ typedef struct
+ {
+ float16_t coeffs[12][8]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */
+ } arm_biquad_mod_coef_f16;
+#endif
+
+ /**
+ * @brief Processing function for the floating-point Biquad cascade filter.
+ * @param[in] S points to an instance of the floating-point Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_f16(
+ const arm_biquad_casd_df1_inst_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize);
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ void arm_biquad_cascade_df1_mve_init_f16(
+ arm_biquad_casd_df1_inst_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ arm_biquad_mod_coef_f16 * pCoeffsMod,
+ float16_t * pState);
+#endif
+
+ void arm_biquad_cascade_df1_init_f16(
+ arm_biquad_casd_df1_inst_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ float16_t * pState);
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float16_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
+ const float16_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_df2T_instance_f16;
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float16_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
+ const float16_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_stereo_df2T_instance_f16;
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df2T_f16(
+ const arm_biquad_cascade_df2T_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_stereo_df2T_f16(
+ const arm_biquad_cascade_stereo_df2T_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df2T_init_f16(
+ arm_biquad_cascade_df2T_instance_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ float16_t * pState);
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_stereo_df2T_init_f16(
+ arm_biquad_cascade_stereo_df2T_instance_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ float16_t * pState);
+
+ /**
+ * @brief Correlation of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_f16(
+ const float16_t * pSrcA,
+ uint32_t srcALen,
+ const float16_t * pSrcB,
+ uint32_t srcBLen,
+ float16_t * pDst);
+
+
+/**
+ @brief Levinson Durbin
+ @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1)
+ @param[out] a autoregressive coefficients
+ @param[out] err prediction error (variance)
+ @param[in] nbCoefs number of autoregressive coefficients
+ @return none
+ */
+void arm_levinson_durbin_f16(const float16_t *phi,
+ float16_t *a,
+ float16_t *err,
+ int nbCoefs);
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _FILTERING_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/interpolation_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/interpolation_functions.h
new file mode 100644
index 00000000..6e51f7c8
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/interpolation_functions.h
@@ -0,0 +1,319 @@
+/******************************************************************************
+ * @file interpolation_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _INTERPOLATION_FUNCTIONS_H_
+#define _INTERPOLATION_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupInterpolation Interpolation Functions
+ * These functions perform 1- and 2-dimensional interpolation of data.
+ * Linear interpolation is used for 1-dimensional data and
+ * bilinear interpolation is used for 2-dimensional data.
+ */
+
+
+ /**
+ * @brief Instance structure for the floating-point Linear Interpolate function.
+ */
+ typedef struct
+ {
+ uint32_t nValues; /**< nValues */
+ float32_t x1; /**< x1 */
+ float32_t xSpacing; /**< xSpacing */
+ float32_t *pYData; /**< pointer to the table of Y values */
+ } arm_linear_interp_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ float32_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_f32;
+
+ /**
+ * @brief Instance structure for the Q31 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q31_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q31;
+
+ /**
+ * @brief Instance structure for the Q15 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q15_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q15 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q7_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q7;
+
+
+ /**
+ * @brief Struct for specifying cubic spline type
+ */
+ typedef enum
+ {
+ ARM_SPLINE_NATURAL = 0, /**< Natural spline */
+ ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */
+ } arm_spline_type;
+
+ /**
+ * @brief Instance structure for the floating-point cubic spline interpolation.
+ */
+ typedef struct
+ {
+ arm_spline_type type; /**< Type (boundary conditions) */
+ const float32_t * x; /**< x values */
+ const float32_t * y; /**< y values */
+ uint32_t n_x; /**< Number of known data points */
+ float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */
+ } arm_spline_instance_f32;
+
+
+
+
+ /**
+ * @ingroup groupInterpolation
+ */
+
+ /**
+ * @addtogroup SplineInterpolate
+ * @{
+ */
+
+
+ /**
+ * @brief Processing function for the floating-point cubic spline interpolation.
+ * @param[in] S points to an instance of the floating-point spline structure.
+ * @param[in] xq points to the x values ot the interpolated data points.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples of output data.
+ */
+ void arm_spline_f32(
+ arm_spline_instance_f32 * S,
+ const float32_t * xq,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Initialization function for the floating-point cubic spline interpolation.
+ * @param[in,out] S points to an instance of the floating-point spline structure.
+ * @param[in] type type of cubic spline interpolation (boundary conditions)
+ * @param[in] x points to the x values of the known data points.
+ * @param[in] y points to the y values of the known data points.
+ * @param[in] n number of known data points.
+ * @param[in] coeffs coefficients array for b, c, and d
+ * @param[in] tempBuffer buffer array for internal computations
+ */
+ void arm_spline_init_f32(
+ arm_spline_instance_f32 * S,
+ arm_spline_type type,
+ const float32_t * x,
+ const float32_t * y,
+ uint32_t n,
+ float32_t * coeffs,
+ float32_t * tempBuffer);
+
+
+ /**
+ * @} end of SplineInterpolate group
+ */
+
+
+
+ /**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Process function for the floating-point Linear Interpolation Function.
+ * @param[in,out] S is an instance of the floating-point Linear Interpolation structure
+ * @param[in] x input sample to process
+ * @return y processed output sample.
+ *
+ */
+ float32_t arm_linear_interp_f32(
+ arm_linear_interp_instance_f32 * S,
+ float32_t x);
+
+ /**
+ *
+ * @brief Process function for the Q31 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q31 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ q31_t arm_linear_interp_q31(
+ const q31_t * pYData,
+ q31_t x,
+ uint32_t nValues);
+
+ /**
+ *
+ * @brief Process function for the Q15 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q15 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ q15_t arm_linear_interp_q15(
+ const q15_t * pYData,
+ q31_t x,
+ uint32_t nValues);
+
+ /**
+ *
+ * @brief Process function for the Q7 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q7 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ */
+q7_t arm_linear_interp_q7(
+ const q7_t * pYData,
+ q31_t x,
+ uint32_t nValues);
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
+
+
+
+ /**
+ * @ingroup groupInterpolation
+ */
+
+
+ /**
+ * @addtogroup BilinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Floating-point bilinear interpolation.
+ * @param[in,out] S points to an instance of the interpolation structure.
+ * @param[in] X interpolation coordinate.
+ * @param[in] Y interpolation coordinate.
+ * @return out interpolated value.
+ */
+ float32_t arm_bilinear_interp_f32(
+ const arm_bilinear_interp_instance_f32 * S,
+ float32_t X,
+ float32_t Y);
+
+ /**
+ * @brief Q31 bilinear interpolation.
+ * @param[in,out] S points to an instance of the interpolation structure.
+ * @param[in] X interpolation coordinate in 12.20 format.
+ * @param[in] Y interpolation coordinate in 12.20 format.
+ * @return out interpolated value.
+ */
+ q31_t arm_bilinear_interp_q31(
+ arm_bilinear_interp_instance_q31 * S,
+ q31_t X,
+ q31_t Y);
+
+
+ /**
+ * @brief Q15 bilinear interpolation.
+ * @param[in,out] S points to an instance of the interpolation structure.
+ * @param[in] X interpolation coordinate in 12.20 format.
+ * @param[in] Y interpolation coordinate in 12.20 format.
+ * @return out interpolated value.
+ */
+ q15_t arm_bilinear_interp_q15(
+ arm_bilinear_interp_instance_q15 * S,
+ q31_t X,
+ q31_t Y);
+
+ /**
+ * @brief Q7 bilinear interpolation.
+ * @param[in,out] S points to an instance of the interpolation structure.
+ * @param[in] X interpolation coordinate in 12.20 format.
+ * @param[in] Y interpolation coordinate in 12.20 format.
+ * @return out interpolated value.
+ */
+ q7_t arm_bilinear_interp_q7(
+ arm_bilinear_interp_instance_q7 * S,
+ q31_t X,
+ q31_t Y);
+ /**
+ * @} end of BilinearInterpolate group
+ */
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _INTERPOLATION_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/interpolation_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/interpolation_functions_f16.h
new file mode 100644
index 00000000..8b6e6a99
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/interpolation_functions_f16.h
@@ -0,0 +1,107 @@
+/******************************************************************************
+ * @file interpolation_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _INTERPOLATION_FUNCTIONS_F16_H_
+#define _INTERPOLATION_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+typedef struct
+{
+ uint32_t nValues; /**< nValues */
+ float16_t x1; /**< x1 */
+ float16_t xSpacing; /**< xSpacing */
+ float16_t *pYData; /**< pointer to the table of Y values */
+} arm_linear_interp_instance_f16;
+
+/**
+ * @brief Instance structure for the floating-point bilinear interpolation function.
+ */
+typedef struct
+{
+ uint16_t numRows;/**< number of rows in the data table. */
+ uint16_t numCols;/**< number of columns in the data table. */
+ float16_t *pData; /**< points to the data table. */
+} arm_bilinear_interp_instance_f16;
+
+ /**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Process function for the floating-point Linear Interpolation Function.
+ * @param[in,out] S is an instance of the floating-point Linear Interpolation structure
+ * @param[in] x input sample to process
+ * @return y processed output sample.
+ *
+ */
+ float16_t arm_linear_interp_f16(
+ arm_linear_interp_instance_f16 * S,
+ float16_t x);
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
+/**
+ * @addtogroup BilinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Floating-point bilinear interpolation.
+ * @param[in,out] S points to an instance of the interpolation structure.
+ * @param[in] X interpolation coordinate.
+ * @param[in] Y interpolation coordinate.
+ * @return out interpolated value.
+ */
+ float16_t arm_bilinear_interp_f16(
+ const arm_bilinear_interp_instance_f16 * S,
+ float16_t X,
+ float16_t Y);
+
+
+ /**
+ * @} end of BilinearInterpolate group
+ */
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _INTERPOLATION_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/matrix_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/matrix_functions.h
new file mode 100644
index 00000000..f3801a98
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/matrix_functions.h
@@ -0,0 +1,757 @@
+/******************************************************************************
+ * @file matrix_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _MATRIX_FUNCTIONS_H_
+#define _MATRIX_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupMatrix Matrix Functions
+ *
+ * This set of functions provides basic matrix math operations.
+ * The functions operate on matrix data structures. For example,
+ * the type
+ * definition for the floating-point matrix structure is shown
+ * below:
+ *
+ * typedef struct
+ * {
+ * uint16_t numRows; // number of rows of the matrix.
+ * uint16_t numCols; // number of columns of the matrix.
+ * float32_t *pData; // points to the data of the matrix.
+ * } arm_matrix_instance_f32;
+ *
+ * There are similar definitions for Q15 and Q31 data types.
+ *
+ * The structure specifies the size of the matrix and then points to
+ * an array of data. The array is of size numRows X numCols
+ * and the values are arranged in row order. That is, the
+ * matrix element (i, j) is stored at:
+ * + * pData[i*numCols + j] + *+ * + * \par Init Functions + * There is an associated initialization function for each type of matrix + * data structure. + * The initialization function sets the values of the internal structure fields. + * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15() + * for floating-point, Q31 and Q15 types, respectively. + * + * \par + * Use of the initialization function is optional. However, if initialization function is used + * then the instance structure cannot be placed into a const data section. + * To place the instance structure in a const data + * section, manually initialize the data structure. For example: + *
+ *+ * wherearm_matrix_instance_f32 S = {nRows, nColumns, pData};+ *arm_matrix_instance_q31 S = {nRows, nColumns, pData};+ *arm_matrix_instance_q15 S = {nRows, nColumns, pData};+ *
nRows specifies the number of rows, nColumns
+ * specifies the number of columns, and pData points to the
+ * data array.
+ *
+ * \par Size Checking
+ * By default all of the matrix functions perform size checking on the input and
+ * output matrices. For example, the matrix addition function verifies that the
+ * two input matrices and the output matrix all have the same number of rows and
+ * columns. If the size check fails the functions return:
+ * + * ARM_MATH_SIZE_MISMATCH + *+ * Otherwise the functions return + *
+ * ARM_MATH_SUCCESS + *+ * There is some overhead associated with this matrix size checking. + * The matrix size checking is enabled via the \#define + *
+ * ARM_MATH_MATRIX_CHECK + *+ * within the library project settings. By default this macro is defined + * and size checking is enabled. By changing the project settings and + * undefining this macro size checking is eliminated and the functions + * run a bit faster. With size checking disabled the functions always + * return
ARM_MATH_SUCCESS.
+ */
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float32_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float64_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f64;
+
+ /**
+ * @brief Instance structure for the Q7 matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ q7_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_q7;
+
+ /**
+ * @brief Instance structure for the Q15 matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ q15_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ q31_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_q31;
+
+ /**
+ * @brief Floating-point matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15 matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_add_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q31 matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_add_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pScratch);
+
+ /**
+ * @brief Q31, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst);
+
+/**
+ * @brief Floating-point matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_f64(
+ const arm_matrix_instance_f64 * pSrc,
+ arm_matrix_instance_f64 * pDst);
+
+ /**
+ * @brief Floating-point complex matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst);
+
+
+ /**
+ * @brief Q15 matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q15 complex matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q7 matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_q7(
+ const arm_matrix_instance_q7 * pSrc,
+ arm_matrix_instance_q7 * pDst);
+
+ /**
+ * @brief Q31 matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Q31 complex matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Floating-point matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_f64(
+ const arm_matrix_instance_f64 * pSrcA,
+ const arm_matrix_instance_f64 * pSrcB,
+ arm_matrix_instance_f64 * pDst);
+
+ /**
+ * @brief Floating-point matrix and vector multiplication
+ * @param[in] pSrcMat points to the input matrix structure
+ * @param[in] pVec points to vector
+ * @param[out] pDst points to output vector
+ */
+void arm_mat_vec_mult_f32(
+ const arm_matrix_instance_f32 *pSrcMat,
+ const float32_t *pVec,
+ float32_t *pDst);
+
+ /**
+ * @brief Q7 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_q7(
+ const arm_matrix_instance_q7 * pSrcA,
+ const arm_matrix_instance_q7 * pSrcB,
+ arm_matrix_instance_q7 * pDst,
+ q7_t * pState);
+
+ /**
+ * @brief Q7 matrix and vector multiplication
+ * @param[in] pSrcMat points to the input matrix structure
+ * @param[in] pVec points to vector
+ * @param[out] pDst points to output vector
+ */
+void arm_mat_vec_mult_q7(
+ const arm_matrix_instance_q7 *pSrcMat,
+ const q7_t *pVec,
+ q7_t *pDst);
+
+ /**
+ * @brief Q15 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState);
+
+ /**
+ * @brief Q15 matrix and vector multiplication
+ * @param[in] pSrcMat points to the input matrix structure
+ * @param[in] pVec points to vector
+ * @param[out] pDst points to output vector
+ */
+void arm_mat_vec_mult_q15(
+ const arm_matrix_instance_q15 *pSrcMat,
+ const q15_t *pVec,
+ q15_t *pDst);
+
+ /**
+ * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_fast_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState);
+
+ /**
+ * @brief Q31 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Q31 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_opt_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst,
+ q31_t *pState);
+
+ /**
+ * @brief Q31 matrix and vector multiplication
+ * @param[in] pSrcMat points to the input matrix structure
+ * @param[in] pVec points to vector
+ * @param[out] pDst points to output vector
+ */
+void arm_mat_vec_mult_q31(
+ const arm_matrix_instance_q31 *pSrcMat,
+ const q31_t *pVec,
+ q31_t *pDst);
+
+ /**
+ * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_fast_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Floating-point matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_f64(
+ const arm_matrix_instance_f64 * pSrcA,
+ const arm_matrix_instance_f64 * pSrcB,
+ arm_matrix_instance_f64 * pDst);
+
+ /**
+ * @brief Q15 matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q31 matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Floating-point matrix scaling.
+ * @param[in] pSrc points to the input matrix
+ * @param[in] scale scale factor
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_scale_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ float32_t scale,
+ arm_matrix_instance_f32 * pDst);
+
+ /**
+ * @brief Q15 matrix scaling.
+ * @param[in] pSrc points to input matrix
+ * @param[in] scaleFract fractional portion of the scale factor
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to output matrix
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_scale_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ q15_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q15 * pDst);
+
+ /**
+ * @brief Q31 matrix scaling.
+ * @param[in] pSrc points to input matrix
+ * @param[in] scaleFract fractional portion of the scale factor
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_scale_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ q31_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q31 * pDst);
+
+ /**
+ * @brief Q31 matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+void arm_mat_init_q31(
+ arm_matrix_instance_q31 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q31_t * pData);
+
+ /**
+ * @brief Q15 matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+void arm_mat_init_q15(
+ arm_matrix_instance_q15 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q15_t * pData);
+
+ /**
+ * @brief Floating-point matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+void arm_mat_init_f32(
+ arm_matrix_instance_f32 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float32_t * pData);
+
+
+
+ /**
+ * @brief Floating-point matrix inverse.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+ */
+ arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * src,
+ arm_matrix_instance_f32 * dst);
+
+
+ /**
+ * @brief Floating-point matrix inverse.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+ */
+ arm_status arm_mat_inverse_f64(
+ const arm_matrix_instance_f64 * src,
+ arm_matrix_instance_f64 * dst);
+
+ /**
+ * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+ * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+ * The decomposition is returning a lower triangular matrix.
+ */
+ arm_status arm_mat_cholesky_f64(
+ const arm_matrix_instance_f64 * src,
+ arm_matrix_instance_f64 * dst);
+
+ /**
+ * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+ * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+ * The decomposition is returning a lower triangular matrix.
+ */
+ arm_status arm_mat_cholesky_f32(
+ const arm_matrix_instance_f32 * src,
+ arm_matrix_instance_f32 * dst);
+
+ /**
+ * @brief Solve UT . X = A where UT is an upper triangular matrix
+ * @param[in] ut The upper triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of UT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_upper_triangular_f32(
+ const arm_matrix_instance_f32 * ut,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst);
+
+ /**
+ * @brief Solve LT . X = A where LT is a lower triangular matrix
+ * @param[in] lt The lower triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of LT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_lower_triangular_f32(
+ const arm_matrix_instance_f32 * lt,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst);
+
+
+ /**
+ * @brief Solve UT . X = A where UT is an upper triangular matrix
+ * @param[in] ut The upper triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of UT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_upper_triangular_f64(
+ const arm_matrix_instance_f64 * ut,
+ const arm_matrix_instance_f64 * a,
+ arm_matrix_instance_f64 * dst);
+
+ /**
+ * @brief Solve LT . X = A where LT is a lower triangular matrix
+ * @param[in] lt The lower triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of LT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_lower_triangular_f64(
+ const arm_matrix_instance_f64 * lt,
+ const arm_matrix_instance_f64 * a,
+ arm_matrix_instance_f64 * dst);
+
+
+ /**
+ * @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] l points to the instance of the output floating-point triangular matrix structure.
+ * @param[out] d points to the instance of the output floating-point diagonal matrix structure.
+ * @param[out] p points to the instance of the output floating-point permutation vector.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+ * The decomposition is returning a lower triangular matrix.
+ */
+ arm_status arm_mat_ldlt_f32(
+ const arm_matrix_instance_f32 * src,
+ arm_matrix_instance_f32 * l,
+ arm_matrix_instance_f32 * d,
+ uint16_t * pp);
+
+ /**
+ * @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] l points to the instance of the output floating-point triangular matrix structure.
+ * @param[out] d points to the instance of the output floating-point diagonal matrix structure.
+ * @param[out] p points to the instance of the output floating-point permutation vector.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+ * The decomposition is returning a lower triangular matrix.
+ */
+ arm_status arm_mat_ldlt_f64(
+ const arm_matrix_instance_f64 * src,
+ arm_matrix_instance_f64 * l,
+ arm_matrix_instance_f64 * d,
+ uint16_t * pp);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _MATRIX_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/matrix_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/matrix_functions_f16.h
new file mode 100644
index 00000000..62876a76
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/matrix_functions_f16.h
@@ -0,0 +1,221 @@
+/******************************************************************************
+ * @file matrix_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.9.0
+ * @date 23 April 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _MATRIX_FUNCTIONS_F16_H_
+#define _MATRIX_FUNCTIONS_F16_H_
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float16_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f16;
+
+ /**
+ * @brief Floating-point matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_add_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_mult_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_trans_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point complex matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_cmplx_trans_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst);
+ /**
+ * @brief Floating-point matrix and vector multiplication
+ * @param[in] pSrcMat points to the input matrix structure
+ * @param[in] pVec points to vector
+ * @param[out] pDst points to output vector
+ */
+void arm_mat_vec_mult_f16(
+ const arm_matrix_instance_f16 *pSrcMat,
+ const float16_t *pVec,
+ float16_t *pDst);
+
+ /**
+ * @brief Floating-point matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_sub_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point matrix scaling.
+ * @param[in] pSrc points to the input matrix
+ * @param[in] scale scale factor
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_scale_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ float16_t scale,
+ arm_matrix_instance_f16 * pDst);
+
+ /**
+ * @brief Floating-point matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+void arm_mat_init_f16(
+ arm_matrix_instance_f16 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float16_t * pData);
+
+
+ /**
+ * @brief Floating-point matrix inverse.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+ */
+ arm_status arm_mat_inverse_f16(
+ const arm_matrix_instance_f16 * src,
+ arm_matrix_instance_f16 * dst);
+
+
+ /**
+ * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+ * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+ * The decomposition is returning a lower triangular matrix.
+ */
+ arm_status arm_mat_cholesky_f16(
+ const arm_matrix_instance_f16 * src,
+ arm_matrix_instance_f16 * dst);
+
+ /**
+ * @brief Solve UT . X = A where UT is an upper triangular matrix
+ * @param[in] ut The upper triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of UT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_upper_triangular_f16(
+ const arm_matrix_instance_f16 * ut,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * dst);
+
+ /**
+ * @brief Solve LT . X = A where LT is a lower triangular matrix
+ * @param[in] lt The lower triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of LT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_lower_triangular_f16(
+ const arm_matrix_instance_f16 * lt,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * dst);
+
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _MATRIX_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/none.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/none.h
new file mode 100644
index 00000000..130386ee
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/none.h
@@ -0,0 +1,576 @@
+/******************************************************************************
+ * @file none.h
+ * @brief Intrinsincs when no DSP extension available
+ * @version V1.9.0
+ * @date 20. July 2020
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/*
+
+Definitions in this file are allowing to reuse some versions of the
+CMSIS-DSP to build on a core (M0 for instance) or a host where
+DSP extension are not available.
+
+Ideally a pure C version should have been used instead.
+But those are not always available or use a restricted set
+of intrinsics.
+
+*/
+
+#ifndef _NONE_H_
+#define _NONE_H_
+
+#include "arm_math_types.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+
+/*
+
+Normally those kind of definitions are in a compiler file
+in Core or Core_A.
+
+But for MSVC compiler it is a bit special. The goal is very specific
+to CMSIS-DSP and only to allow the use of this library from other
+systems like Python or Matlab.
+
+MSVC is not going to be used to cross-compile to ARM. So, having a MSVC
+compiler file in Core or Core_A would not make sense.
+
+*/
+#if defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) || defined(__APPLE_CC__)
+ __STATIC_FORCEINLINE uint8_t __CLZ(uint32_t data)
+ {
+ if (data == 0U) { return 32U; }
+
+ uint32_t count = 0U;
+ uint32_t mask = 0x80000000U;
+
+ while ((data & mask) == 0U)
+ {
+ count += 1U;
+ mask = mask >> 1U;
+ }
+ return count;
+ }
+
+ __STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat)
+ {
+ if ((sat >= 1U) && (sat <= 32U))
+ {
+ const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U);
+ const int32_t min = -1 - max ;
+ if (val > max)
+ {
+ return max;
+ }
+ else if (val < min)
+ {
+ return min;
+ }
+ }
+ return val;
+ }
+
+ __STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat)
+ {
+ if (sat <= 31U)
+ {
+ const uint32_t max = ((1U << sat) - 1U);
+ if (val > (int32_t)max)
+ {
+ return max;
+ }
+ else if (val < 0)
+ {
+ return 0U;
+ }
+ }
+ return (uint32_t)val;
+ }
+
+ /**
+ \brief Rotate Right in unsigned value (32 bit)
+ \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
+ \param [in] op1 Value to rotate
+ \param [in] op2 Number of Bits to rotate
+ \return Rotated value
+ */
+__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2)
+{
+ op2 %= 32U;
+ if (op2 == 0U)
+ {
+ return op1;
+ }
+ return (op1 >> op2) | (op1 << (32U - op2));
+}
+
+
+#endif
+
+/**
+ * @brief Clips Q63 to Q31 values.
+ */
+ __STATIC_FORCEINLINE q31_t clip_q63_to_q31(
+ q63_t x)
+ {
+ return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+ ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;
+ }
+
+ /**
+ * @brief Clips Q63 to Q15 values.
+ */
+ __STATIC_FORCEINLINE q15_t clip_q63_to_q15(
+ q63_t x)
+ {
+ return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+ ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);
+ }
+
+ /**
+ * @brief Clips Q31 to Q7 values.
+ */
+ __STATIC_FORCEINLINE q7_t clip_q31_to_q7(
+ q31_t x)
+ {
+ return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?
+ ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;
+ }
+
+ /**
+ * @brief Clips Q31 to Q15 values.
+ */
+ __STATIC_FORCEINLINE q15_t clip_q31_to_q15(
+ q31_t x)
+ {
+ return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?
+ ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;
+ }
+
+ /**
+ * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.
+ */
+ __STATIC_FORCEINLINE q63_t mult32x64(
+ q63_t x,
+ q31_t y)
+ {
+ return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
+ (((q63_t) (x >> 32) * y) ) );
+ }
+
+/* SMMLAR */
+#define multAcc_32x32_keep32_R(a, x, y) \
+ a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMLSR */
+#define multSub_32x32_keep32_R(a, x, y) \
+ a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMULR */
+#define mult_32x32_keep32_R(a, x, y) \
+ a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)
+
+/* SMMLA */
+#define multAcc_32x32_keep32(a, x, y) \
+ a += (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMLS */
+#define multSub_32x32_keep32(a, x, y) \
+ a -= (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMUL */
+#define mult_32x32_keep32(a, x, y) \
+ a = (q31_t) (((q63_t) x * y ) >> 32)
+
+#ifndef ARM_MATH_DSP
+ /**
+ * @brief definition to pack two 16 bit values.
+ */
+ #define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \
+ (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) )
+ #define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \
+ (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) )
+#endif
+
+ /**
+ * @brief definition to pack four 8 bit values.
+ */
+#ifndef ARM_MATH_BIG_ENDIAN
+ #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) << 0) & (int32_t)0x000000FF) | \
+ (((int32_t)(v1) << 8) & (int32_t)0x0000FF00) | \
+ (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \
+ (((int32_t)(v3) << 24) & (int32_t)0xFF000000) )
+#else
+ #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) << 0) & (int32_t)0x000000FF) | \
+ (((int32_t)(v2) << 8) & (int32_t)0x0000FF00) | \
+ (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \
+ (((int32_t)(v0) << 24) & (int32_t)0xFF000000) )
+#endif
+
+
+
+
+/*
+ * @brief C custom defined intrinsic functions
+ */
+#if !defined (ARM_MATH_DSP)
+
+
+ /*
+ * @brief C custom defined QADD8
+ */
+ __STATIC_FORCEINLINE uint32_t __QADD8(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s, t, u;
+
+ r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+ s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+ t = __SSAT(((((q31_t)x << 8) >> 24) + (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF;
+ u = __SSAT(((((q31_t)x ) >> 24) + (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF;
+
+ return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QSUB8
+ */
+ __STATIC_FORCEINLINE uint32_t __QSUB8(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s, t, u;
+
+ r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+ s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+ t = __SSAT(((((q31_t)x << 8) >> 24) - (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF;
+ u = __SSAT(((((q31_t)x ) >> 24) - (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF;
+
+ return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QADD16
+ */
+ __STATIC_FORCEINLINE uint32_t __QADD16(
+ uint32_t x,
+ uint32_t y)
+ {
+/* q31_t r, s; without initialisation 'arm_offset_q15 test' fails but 'intrinsic' tests pass! for armCC */
+ q31_t r = 0, s = 0;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHADD16
+ */
+ __STATIC_FORCEINLINE uint32_t __SHADD16(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QSUB16
+ */
+ __STATIC_FORCEINLINE uint32_t __QSUB16(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHSUB16
+ */
+ __STATIC_FORCEINLINE uint32_t __SHSUB16(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QASX
+ */
+ __STATIC_FORCEINLINE uint32_t __QASX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHASX
+ */
+ __STATIC_FORCEINLINE uint32_t __SHASX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QSAX
+ */
+ __STATIC_FORCEINLINE uint32_t __QSAX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHSAX
+ */
+ __STATIC_FORCEINLINE uint32_t __SHSAX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SMUSDX
+ */
+ __STATIC_FORCEINLINE uint32_t __SMUSDX(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) -
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) ));
+ }
+
+ /*
+ * @brief C custom defined SMUADX
+ */
+ __STATIC_FORCEINLINE uint32_t __SMUADX(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) ));
+ }
+
+
+ /*
+ * @brief C custom defined QADD
+ */
+ __STATIC_FORCEINLINE int32_t __QADD(
+ int32_t x,
+ int32_t y)
+ {
+ return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y)));
+ }
+
+
+ /*
+ * @brief C custom defined QSUB
+ */
+ __STATIC_FORCEINLINE int32_t __QSUB(
+ int32_t x,
+ int32_t y)
+ {
+ return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y)));
+ }
+
+
+ /*
+ * @brief C custom defined SMLAD
+ */
+ __STATIC_FORCEINLINE uint32_t __SMLAD(
+ uint32_t x,
+ uint32_t y,
+ uint32_t sum)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) +
+ ( ((q31_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLADX
+ */
+ __STATIC_FORCEINLINE uint32_t __SMLADX(
+ uint32_t x,
+ uint32_t y,
+ uint32_t sum)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ( ((q31_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLSDX
+ */
+ __STATIC_FORCEINLINE uint32_t __SMLSDX(
+ uint32_t x,
+ uint32_t y,
+ uint32_t sum)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) -
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ( ((q31_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLALD
+ */
+ __STATIC_FORCEINLINE uint64_t __SMLALD(
+ uint32_t x,
+ uint32_t y,
+ uint64_t sum)
+ {
+/* return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */
+ return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) +
+ ( ((q63_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLALDX
+ */
+ __STATIC_FORCEINLINE uint64_t __SMLALDX(
+ uint32_t x,
+ uint32_t y,
+ uint64_t sum)
+ {
+/* return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */
+ return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ( ((q63_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMUAD
+ */
+ __STATIC_FORCEINLINE uint32_t __SMUAD(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMUSD
+ */
+ __STATIC_FORCEINLINE uint32_t __SMUSD(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) -
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) ));
+ }
+
+
+ /*
+ * @brief C custom defined SXTB16
+ */
+ __STATIC_FORCEINLINE uint32_t __SXTB16(
+ uint32_t x)
+ {
+ return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) |
+ ((((q31_t)x << 8) >> 8) & (q31_t)0xFFFF0000) ));
+ }
+
+ /*
+ * @brief C custom defined SMMLA
+ */
+ __STATIC_FORCEINLINE int32_t __SMMLA(
+ int32_t x,
+ int32_t y,
+ int32_t sum)
+ {
+ return (sum + (int32_t) (((int64_t) x * y) >> 32));
+ }
+
+#endif /* !defined (ARM_MATH_DSP) */
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/quaternion_math_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/quaternion_math_functions.h
new file mode 100644
index 00000000..0c5d0674
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/quaternion_math_functions.h
@@ -0,0 +1,159 @@
+/******************************************************************************
+ * @file quaternion_math_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _QUATERNION_MATH_FUNCTIONS_H_
+#define _QUATERNION_MATH_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupQuaternionMath Quaternion Math Functions
+ * Functions to operates on quaternions and convert between a
+ * rotation and quaternion representation.
+ */
+
+
+/**
+ @brief Floating-point quaternion Norm.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pNorms points to the output vector of norms
+ @param[in] nbQuaternions number of quaternions in each vector
+ @return none
+ */
+
+
+
+void arm_quaternion_norm_f32(const float32_t *pInputQuaternions,
+ float32_t *pNorms,
+ uint32_t nbQuaternions);
+
+
+/**
+ @brief Floating-point quaternion inverse.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pInverseQuaternions points to the output vector of inverse quaternions
+ @param[in] nbQuaternions number of quaternions in each vector
+ @return none
+ */
+
+void arm_quaternion_inverse_f32(const float32_t *pInputQuaternions,
+ float32_t *pInverseQuaternions,
+ uint32_t nbQuaternions);
+
+/**
+ @brief Floating-point quaternion conjugates.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pConjugateQuaternions points to the output vector of conjugate quaternions
+ @param[in] nbQuaternions number of quaternions in each vector
+ @return none
+ */
+void arm_quaternion_conjugate_f32(const float32_t *inputQuaternions,
+ float32_t *pConjugateQuaternions,
+ uint32_t nbQuaternions);
+
+/**
+ @brief Floating-point normalization of quaternions.
+ @param[in] pInputQuaternions points to the input vector of quaternions
+ @param[out] pNormalizedQuaternions points to the output vector of normalized quaternions
+ @param[in] nbQuaternions number of quaternions in each vector
+ @return none
+ */
+void arm_quaternion_normalize_f32(const float32_t *inputQuaternions,
+ float32_t *pNormalizedQuaternions,
+ uint32_t nbQuaternions);
+
+
+/**
+ @brief Floating-point product of two quaternions.
+ @param[in] qa First quaternion
+ @param[in] qb Second quaternion
+ @param[out] r Product of two quaternions
+ @return none
+ */
+void arm_quaternion_product_single_f32(const float32_t *qa,
+ const float32_t *qb,
+ float32_t *r);
+
+/**
+ @brief Floating-point elementwise product two quaternions.
+ @param[in] qa First array of quaternions
+ @param[in] qb Second array of quaternions
+ @param[out] r Elementwise product of quaternions
+ @param[in] nbQuaternions Number of quaternions in the array
+ @return none
+ */
+void arm_quaternion_product_f32(const float32_t *qa,
+ const float32_t *qb,
+ float32_t *r,
+ uint32_t nbQuaternions);
+
+/**
+ * @brief Conversion of quaternion to equivalent rotation matrix.
+ * @param[in] pInputQuaternions points to an array of normalized quaternions
+ * @param[out] pOutputRotations points to an array of 3x3 rotations (in row order)
+ * @param[in] nbQuaternions in the array
+ * @return none.
+ *
+ * Format of rotation matrix
+ * \par
+ * The quaternion a + ib + jc + kd is converted into rotation matrix:
+ * a^2 + b^2 - c^2 - d^2 2bc - 2ad 2bd + 2ac
+ * 2bc + 2ad a^2 - b^2 + c^2 - d^2 2cd - 2ab
+ * 2bd - 2ac 2cd + 2ab a^2 - b^2 - c^2 + d^2
+ *
+ * Rotation matrix is saved in row order : R00 R01 R02 R10 R11 R12 R20 R21 R22
+ */
+void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions,
+ float32_t *pOutputRotations,
+ uint32_t nbQuaternions);
+
+/**
+ * @brief Conversion of a rotation matrix to equivalent quaternion.
+ * @param[in] pInputRotations points to an array 3x3 rotation matrix (in row order)
+ * @param[out] pOutputQuaternions points to an array of quaternions
+ * @param[in] nbQuaternions in the array
+ * @return none.
+*/
+void arm_rotation2quaternion_f32(const float32_t *pInputRotations,
+ float32_t *pOutputQuaternions,
+ uint32_t nbQuaternions);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _QUATERNION_MATH_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/statistics_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/statistics_functions.h
new file mode 100644
index 00000000..c5224c6d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/statistics_functions.h
@@ -0,0 +1,977 @@
+/******************************************************************************
+ * @file statistics_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _STATISTICS_FUNCTIONS_H_
+#define _STATISTICS_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions.h"
+#include "dsp/fast_math_functions.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupStats Statistics Functions
+ */
+
+/**
+ * @brief Computation of the LogSumExp
+ *
+ * In probabilistic computations, the dynamic of the probability values can be very
+ * wide because they come from gaussian functions.
+ * To avoid underflow and overflow issues, the values are represented by their log.
+ * In this representation, multiplying the original exp values is easy : their logs are added.
+ * But adding the original exp values is requiring some special handling and it is the
+ * goal of the LogSumExp function.
+ *
+ * If the values are x1...xn, the function is computing:
+ *
+ * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that
+ * rounding issues are minimised.
+ *
+ * The max xm of the values is extracted and the function is computing:
+ * xm + ln(exp(x1 - xm) + ... + exp(xn - xm))
+ *
+ * @param[in] *in Pointer to an array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return LogSumExp
+ *
+ */
+
+
+float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize);
+
+/**
+ * @brief Dot product with log arithmetic
+ *
+ * Vectors are containing the log of the samples
+ *
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[in] pTmpBuffer temporary buffer of length blockSize
+ * @return The log of the dot product .
+ *
+ */
+
+
+float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t blockSize,
+ float32_t *pTmpBuffer);
+
+/**
+ * @brief Entropy
+ *
+ * @param[in] pSrcA Array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Entropy -Sum(p ln p)
+ *
+ */
+
+
+float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize);
+
+
+/**
+ * @brief Entropy
+ *
+ * @param[in] pSrcA Array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Entropy -Sum(p ln p)
+ *
+ */
+
+
+float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize);
+
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in] pSrcA Pointer to an array of input values for probability distribution A.
+ * @param[in] pSrcB Pointer to an array of input values for probability distribution B.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Kullback-Leibler Divergence D(A || B)
+ *
+ */
+float32_t arm_kullback_leibler_f32(const float32_t * pSrcA
+ ,const float32_t * pSrcB
+ ,uint32_t blockSize);
+
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in] pSrcA Pointer to an array of input values for probability distribution A.
+ * @param[in] pSrcB Pointer to an array of input values for probability distribution B.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Kullback-Leibler Divergence D(A || B)
+ *
+ */
+float64_t arm_kullback_leibler_f64(const float64_t * pSrcA,
+ const float64_t * pSrcB,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q63_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q63_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Mean value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Mean value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+
+ /**
+ * @brief Minimum value of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] result is output pointer
+ * @param[in] index is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * result,
+ uint32_t * index);
+
+ /**
+ * @brief Minimum value of absolute values of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] result is output pointer
+ * @param[in] index is the array index of the minimum value in the input buffer.
+ */
+ void arm_absmin_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * result,
+ uint32_t * index);
+
+ /**
+ * @brief Minimum value of absolute values of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] result is output pointer
+ */
+ void arm_absmin_no_idx_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * result);
+
+
+ /**
+ * @brief Minimum value of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[in] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Minimum value of absolute values of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[in] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_absmin_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ */
+ void arm_absmin_no_idx_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Minimum value of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_absmin_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ */
+ void arm_absmin_no_idx_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Minimum value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_absmin_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ */
+ void arm_absmin_no_idx_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Minimum value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_absmin_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ */
+ void arm_absmin_no_idx_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult);
+
+
+/**
+ * @brief Maximum value of a Q7 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q7 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_absmax_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q7 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ */
+ void arm_absmax_no_idx_q7(
+ const q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult);
+
+
+/**
+ * @brief Maximum value of a Q15 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q15 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_absmax_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Maximum value of absolute values of a Q15 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ */
+ void arm_absmax_no_idx_q15(
+ const q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+/**
+ * @brief Maximum value of a Q31 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q31 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_absmax_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Maximum value of absolute values of a Q31 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ */
+ void arm_absmax_no_idx_q31(
+ const q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_absmax_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ */
+ void arm_absmax_no_idx_f32(
+ const float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_absmax_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ */
+ void arm_absmax_no_idx_f64(
+ const float64_t * pSrc,
+ uint32_t blockSize,
+ float64_t * pResult);
+
+ /**
+ @brief Maximum value of a floating-point vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult maximum value returned here
+ @return none
+ */
+ void arm_max_no_idx_f32(
+ const float32_t *pSrc,
+ uint32_t blockSize,
+ float32_t *pResult);
+
+ /**
+ @brief Minimum value of a floating-point vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult minimum value returned here
+ @return none
+ */
+ void arm_min_no_idx_f32(
+ const float32_t *pSrc,
+ uint32_t blockSize,
+ float32_t *pResult);
+
+ /**
+ @brief Maximum value of a floating-point vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult maximum value returned here
+ @return none
+ */
+ void arm_max_no_idx_f64(
+ const float64_t *pSrc,
+ uint32_t blockSize,
+ float64_t *pResult);
+
+ /**
+ @brief Maximum value of a q31 vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult maximum value returned here
+ @return none
+ */
+ void arm_max_no_idx_q31(
+ const q31_t *pSrc,
+ uint32_t blockSize,
+ q31_t *pResult);
+
+ /**
+ @brief Maximum value of a q15 vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult maximum value returned here
+ @return none
+ */
+ void arm_max_no_idx_q15(
+ const q15_t *pSrc,
+ uint32_t blockSize,
+ q15_t *pResult);
+
+ /**
+ @brief Maximum value of a q7 vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult maximum value returned here
+ @return none
+ */
+ void arm_max_no_idx_q7(
+ const q7_t *pSrc,
+ uint32_t blockSize,
+ q7_t *pResult);
+
+ /**
+ @brief Minimum value of a floating-point vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult minimum value returned here
+ @return none
+ */
+ void arm_min_no_idx_f64(
+ const float64_t *pSrc,
+ uint32_t blockSize,
+ float64_t *pResult);
+
+/**
+ @brief Minimum value of a q31 vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult minimum value returned here
+ @return none
+ */
+ void arm_min_no_idx_q31(
+ const q31_t *pSrc,
+ uint32_t blockSize,
+ q31_t *pResult);
+
+ /**
+ @brief Minimum value of a q15 vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult minimum value returned here
+ @return none
+ */
+ void arm_min_no_idx_q15(
+ const q15_t *pSrc,
+ uint32_t blockSize,
+ q15_t *pResult);
+
+ /**
+ @brief Minimum value of a q7 vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult minimum value returned here
+ @return none
+ */
+ void arm_min_no_idx_q7(
+ const q7_t *pSrc,
+ uint32_t blockSize,
+ q7_t *pResult);
+
+/**
+ @brief Mean square error between two Q7 vectors.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult mean square error
+ @return none
+*/
+
+void arm_mse_q7(
+ const q7_t * pSrcA,
+ const q7_t * pSrcB,
+ uint32_t blockSize,
+ q7_t * pResult);
+
+/**
+ @brief Mean square error between two Q15 vectors.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult mean square error
+ @return none
+*/
+
+void arm_mse_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+/**
+ @brief Mean square error between two Q31 vectors.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult mean square error
+ @return none
+*/
+
+void arm_mse_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+/**
+ @brief Mean square error between two single precision float vectors.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult mean square error
+ @return none
+*/
+
+void arm_mse_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+/**
+ @brief Mean square error between two double precision float vectors.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult mean square error
+ @return none
+*/
+
+void arm_mse_f64(
+ const float64_t * pSrcA,
+ const float64_t * pSrcB,
+ uint32_t blockSize,
+ float64_t * pResult);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _STATISTICS_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/statistics_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/statistics_functions_f16.h
new file mode 100644
index 00000000..8ed3a844
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/statistics_functions_f16.h
@@ -0,0 +1,218 @@
+/******************************************************************************
+ * @file statistics_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.9.0
+ * @date 23 April 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _STATISTICS_FUNCTIONS_F16_H_
+#define _STATISTICS_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions_f16.h"
+#include "dsp/fast_math_functions_f16.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+ * @brief Sum of the squares of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult);
+
+ /**
+ * @brief Mean value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult);
+
+ /**
+ * @brief Variance of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult);
+
+ /**
+ * @brief Root Mean Square of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult);
+
+ /**
+ * @brief Standard deviation of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult);
+
+ /**
+ * @brief Minimum value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult,
+ uint32_t * pIndex);
+
+ /**
+ * @brief Minimum value of absolute values of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_absmin_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_absmax_f16(
+ const float16_t * pSrc,
+ uint32_t blockSize,
+ float16_t * pResult,
+ uint32_t * pIndex);
+
+/**
+ * @brief Entropy
+ *
+ * @param[in] pSrcA Array of input values.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Entropy -Sum(p ln p)
+ *
+ */
+
+
+float16_t arm_entropy_f16(const float16_t * pSrcA,uint32_t blockSize);
+
+float16_t arm_logsumexp_f16(const float16_t *in, uint32_t blockSize);
+
+/**
+ * @brief Dot product with log arithmetic
+ *
+ * Vectors are containing the log of the samples
+ *
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[in] pTmpBuffer temporary buffer of length blockSize
+ * @return The log of the dot product .
+ *
+ */
+
+
+float16_t arm_logsumexp_dot_prod_f16(const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ uint32_t blockSize,
+ float16_t *pTmpBuffer);
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in] pSrcA Pointer to an array of input values for probability distribution A.
+ * @param[in] pSrcB Pointer to an array of input values for probability distribution B.
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Kullback-Leibler Divergence D(A || B)
+ *
+ */
+float16_t arm_kullback_leibler_f16(const float16_t * pSrcA
+ ,const float16_t * pSrcB
+ ,uint32_t blockSize);
+
+/**
+ @brief Maximum value of a floating-point vector.
+ @param[in] pSrc points to the input vector
+ @param[in] blockSize number of samples in input vector
+ @param[out] pResult maximum value returned here
+ @return none
+ */
+ void arm_max_no_idx_f16(
+ const float16_t *pSrc,
+ uint32_t blockSize,
+ float16_t *pResult);
+
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _STATISTICS_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/support_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/support_functions.h
new file mode 100644
index 00000000..9c775932
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/support_functions.h
@@ -0,0 +1,453 @@
+/******************************************************************************
+ * @file support_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _SUPPORT_FUNCTIONS_H_
+#define _SUPPORT_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupSupport Support Functions
+ */
+
+
+/**
+ * @brief Converts the elements of the floating-point vector to Q31 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q31 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q31(
+ const float32_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q15 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q15 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q15(
+ const float32_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q7 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q7 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q7(
+ const float32_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_float(
+ const q31_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_q15(
+ const q31_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_q7(
+ const q31_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_float(
+ const q15_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_q31(
+ const q15_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_q7(
+ const q15_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q7 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q7_to_float(
+ const q7_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q7 vector to Q31 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_q7_to_q31(
+ const q7_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q7 vector to Q15 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_q7_to_q15(
+ const q7_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+
+
+
+ /**
+ * @brief Struct for specifying sorting algorithm
+ */
+ typedef enum
+ {
+ ARM_SORT_BITONIC = 0,
+ /**< Bitonic sort */
+ ARM_SORT_BUBBLE = 1,
+ /**< Bubble sort */
+ ARM_SORT_HEAP = 2,
+ /**< Heap sort */
+ ARM_SORT_INSERTION = 3,
+ /**< Insertion sort */
+ ARM_SORT_QUICK = 4,
+ /**< Quick sort */
+ ARM_SORT_SELECTION = 5
+ /**< Selection sort */
+ } arm_sort_alg;
+
+ /**
+ * @brief Struct for specifying sorting algorithm
+ */
+ typedef enum
+ {
+ ARM_SORT_DESCENDING = 0,
+ /**< Descending order (9 to 0) */
+ ARM_SORT_ASCENDING = 1
+ /**< Ascending order (0 to 9) */
+ } arm_sort_dir;
+
+ /**
+ * @brief Instance structure for the sorting algorithms.
+ */
+ typedef struct
+ {
+ arm_sort_alg alg; /**< Sorting algorithm selected */
+ arm_sort_dir dir; /**< Sorting order (direction) */
+ } arm_sort_instance_f32;
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in,out] S points to an instance of the sorting structure.
+ * @param[in] alg Selected algorithm.
+ * @param[in] dir Sorting order.
+ */
+ void arm_sort_init_f32(
+ arm_sort_instance_f32 * S,
+ arm_sort_alg alg,
+ arm_sort_dir dir);
+
+ /**
+ * @brief Instance structure for the sorting algorithms.
+ */
+ typedef struct
+ {
+ arm_sort_dir dir; /**< Sorting order (direction) */
+ float32_t * buffer; /**< Working buffer */
+ } arm_merge_sort_instance_f32;
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in,out] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_merge_sort_f32(
+ const arm_merge_sort_instance_f32 * S,
+ float32_t *pSrc,
+ float32_t *pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in,out] S points to an instance of the sorting structure.
+ * @param[in] dir Sorting order.
+ * @param[in] buffer Working buffer.
+ */
+ void arm_merge_sort_init_f32(
+ arm_merge_sort_instance_f32 * S,
+ arm_sort_dir dir,
+ float32_t * buffer);
+
+
+
+ /**
+ * @brief Copies the elements of a floating-point vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+
+ /**
+ * @brief Copies the elements of a floating-point vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_f64(
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+
+
+ /**
+ * @brief Copies the elements of a Q7 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q7(
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q15 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q31 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a floating-point vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_f32(
+ float32_t value,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a floating-point vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_f64(
+ float64_t value,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q7 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q7(
+ q7_t value,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q15 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q15(
+ q15_t value,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q31 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q31(
+ q31_t value,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+
+
+
+
+
+/**
+ * @brief Weighted sum
+ *
+ *
+ * @param[in] *in Array of input values.
+ * @param[in] *weigths Weights
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Weighted sum
+ *
+ */
+float32_t arm_weighted_sum_f32(const float32_t *in
+ , const float32_t *weigths
+ , uint32_t blockSize);
+
+
+/**
+ * @brief Barycenter
+ *
+ *
+ * @param[in] in List of vectors
+ * @param[in] weights Weights of the vectors
+ * @param[out] out Barycenter
+ * @param[in] nbVectors Number of vectors
+ * @param[in] vecDim Dimension of space (vector dimension)
+ * @return None
+ *
+ */
+void arm_barycenter_f32(const float32_t *in
+ , const float32_t *weights
+ , float32_t *out
+ , uint32_t nbVectors
+ , uint32_t vecDim);
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _SUPPORT_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/support_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/support_functions_f16.h
new file mode 100644
index 00000000..47b6535f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/support_functions_f16.h
@@ -0,0 +1,129 @@
+/******************************************************************************
+ * @file support_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.9.0
+ * @date 23 April 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _SUPPORT_FUNCTIONS_F16_H_
+#define _SUPPORT_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+ * @brief Copies the elements of a floating-point vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+void arm_copy_f16(const float16_t * pSrc, float16_t * pDst, uint32_t blockSize);
+
+ /**
+ * @brief Fills a constant value into a floating-point vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+void arm_fill_f16(float16_t value, float16_t * pDst, uint32_t blockSize);
+
+/**
+ * @brief Converts the elements of the floating-point vector to Q31 vector.
+ * @param[in] pSrc points to the f16 input vector
+ * @param[out] pDst points to the q15 output vector
+ * @param[in] blockSize length of the input vector
+ */
+void arm_f16_to_q15(const float16_t * pSrc, q15_t * pDst, uint32_t blockSize);
+
+/**
+ * @brief Converts the elements of the floating-point vector to Q31 vector.
+ * @param[in] pSrc points to the q15 input vector
+ * @param[out] pDst points to the f16 output vector
+ * @param[in] blockSize length of the input vector
+ */
+void arm_q15_to_f16(const q15_t * pSrc, float16_t * pDst, uint32_t blockSize);
+
+
+/**
+ * @brief Converts the elements of the floating-point vector to Q31 vector.
+ * @param[in] pSrc points to the f32 input vector
+ * @param[out] pDst points to the f16 output vector
+ * @param[in] blockSize length of the input vector
+ */
+void arm_float_to_f16(const float32_t * pSrc, float16_t * pDst, uint32_t blockSize);
+
+/**
+ * @brief Converts the elements of the floating-point vector to Q31 vector.
+ * @param[in] pSrc points to the f16 input vector
+ * @param[out] pDst points to the f32 output vector
+ * @param[in] blockSize length of the input vector
+ */
+void arm_f16_to_float(const float16_t * pSrc, float32_t * pDst, uint32_t blockSize);
+
+/**
+ * @brief Weighted sum
+ *
+ *
+ * @param[in] *in Array of input values.
+ * @param[in] *weigths Weights
+ * @param[in] blockSize Number of samples in the input array.
+ * @return Weighted sum
+ *
+ */
+float16_t arm_weighted_sum_f16(const float16_t *in
+ , const float16_t *weigths
+ , uint32_t blockSize);
+
+/**
+ * @brief Barycenter
+ *
+ *
+ * @param[in] in List of vectors
+ * @param[in] weights Weights of the vectors
+ * @param[out] out Barycenter
+ * @param[in] nbVectors Number of vectors
+ * @param[in] vecDim Dimension of space (vector dimension)
+ * @return None
+ *
+ */
+void arm_barycenter_f16(const float16_t *in
+ , const float16_t *weights
+ , float16_t *out
+ , uint32_t nbVectors
+ , uint32_t vecDim);
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _SUPPORT_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_defines.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_defines.h
new file mode 100644
index 00000000..f93e9530
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_defines.h
@@ -0,0 +1,46 @@
+/******************************************************************************
+ * @file svm_defines.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _SVM_DEFINES_H_
+#define _SVM_DEFINES_H_
+
+/**
+ * @brief Struct for specifying SVM Kernel
+ */
+typedef enum
+{
+ ARM_ML_KERNEL_LINEAR = 0,
+ /**< Linear kernel */
+ ARM_ML_KERNEL_POLYNOMIAL = 1,
+ /**< Polynomial kernel */
+ ARM_ML_KERNEL_RBF = 2,
+ /**< Radial Basis Function kernel */
+ ARM_ML_KERNEL_SIGMOID = 3
+ /**< Sigmoid kernel */
+} arm_ml_kernel_type;
+
+#endif
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_functions.h
new file mode 100644
index 00000000..3acc6211
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_functions.h
@@ -0,0 +1,299 @@
+/******************************************************************************
+ * @file svm_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _SVM_FUNCTIONS_H_
+#define _SVM_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+#include "dsp/svm_defines.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#define STEP(x) (x) <= 0 ? 0 : 1
+
+/**
+ * @defgroup groupSVM SVM Functions
+ * This set of functions is implementing SVM classification on 2 classes.
+ * The training must be done from scikit-learn. The parameters can be easily
+ * generated from the scikit-learn object. Some examples are given in
+ * DSP/Testing/PatternGeneration/SVM.py
+ *
+ * If more than 2 classes are needed, the functions in this folder
+ * will have to be used, as building blocks, to do multi-class classification.
+ *
+ * No multi-class classification is provided in this SVM folder.
+ *
+ */
+
+/**
+ * @brief Integer exponentiation
+ * @param[in] x value
+ * @param[in] nb integer exponent >= 1
+ * @return x^nb
+ *
+ */
+__STATIC_INLINE float32_t arm_exponent_f32(float32_t x, int32_t nb)
+{
+ float32_t r = x;
+ nb --;
+ while(nb > 0)
+ {
+ r = r * x;
+ nb--;
+ }
+ return(r);
+}
+
+
+
+
+
+/**
+ * @brief Instance structure for linear SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+} arm_svm_linear_instance_f32;
+
+
+/**
+ * @brief Instance structure for polynomial SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ int32_t degree; /**< Polynomial degree */
+ float32_t coef0; /**< Polynomial constant */
+ float32_t gamma; /**< Gamma factor */
+} arm_svm_polynomial_instance_f32;
+
+/**
+ * @brief Instance structure for rbf SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ float32_t gamma; /**< Gamma factor */
+} arm_svm_rbf_instance_f32;
+
+/**
+ * @brief Instance structure for sigmoid SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float32_t intercept; /**< Intercept */
+ const float32_t *dualCoefficients; /**< Dual coefficients */
+ const float32_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ float32_t coef0; /**< Independent constant */
+ float32_t gamma; /**< Gamma factor */
+} arm_svm_sigmoid_instance_f32;
+
+/**
+ * @brief SVM linear instance init function
+ * @param[in] S Parameters for SVM functions
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @return none.
+ *
+ */
+
+
+void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes);
+
+/**
+ * @brief SVM linear prediction
+ * @param[in] S Pointer to an instance of the linear SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+
+void arm_svm_linear_predict_f32(const arm_svm_linear_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+
+/**
+ * @brief SVM polynomial instance init function
+ * @param[in] S points to an instance of the polynomial SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] degree Polynomial degree
+ * @param[in] coef0 coeff0 (scikit-learn terminology)
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+
+void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes,
+ int32_t degree,
+ float32_t coef0,
+ float32_t gamma
+ );
+
+/**
+ * @brief SVM polynomial prediction
+ * @param[in] S Pointer to an instance of the polynomial SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+void arm_svm_polynomial_predict_f32(const arm_svm_polynomial_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+
+/**
+ * @brief SVM radial basis function instance init function
+ * @param[in] S points to an instance of the polynomial SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes,
+ float32_t gamma
+ );
+
+/**
+ * @brief SVM rbf prediction
+ * @param[in] S Pointer to an instance of the rbf SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult decision value
+ * @return none.
+ *
+ */
+void arm_svm_rbf_predict_f32(const arm_svm_rbf_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+/**
+ * @brief SVM sigmoid instance init function
+ * @param[in] S points to an instance of the rbf SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] coef0 coeff0 (scikit-learn terminology)
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float32_t intercept,
+ const float32_t *dualCoefficients,
+ const float32_t *supportVectors,
+ const int32_t *classes,
+ float32_t coef0,
+ float32_t gamma
+ );
+
+/**
+ * @brief SVM sigmoid prediction
+ * @param[in] S Pointer to an instance of the rbf SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+void arm_svm_sigmoid_predict_f32(const arm_svm_sigmoid_instance_f32 *S,
+ const float32_t * in,
+ int32_t * pResult);
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _SVM_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_functions_f16.h
new file mode 100644
index 00000000..b80ed7cf
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/svm_functions_f16.h
@@ -0,0 +1,298 @@
+/******************************************************************************
+ * @file svm_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.9.0
+ * @date 23 April 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _SVM_FUNCTIONS_F16_H_
+#define _SVM_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+#include "dsp/svm_defines.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+#define STEP(x) (x) <= 0 ? 0 : 1
+
+/**
+ * @defgroup groupSVM SVM Functions
+ * This set of functions is implementing SVM classification on 2 classes.
+ * The training must be done from scikit-learn. The parameters can be easily
+ * generated from the scikit-learn object. Some examples are given in
+ * DSP/Testing/PatternGeneration/SVM.py
+ *
+ * If more than 2 classes are needed, the functions in this folder
+ * will have to be used, as building blocks, to do multi-class classification.
+ *
+ * No multi-class classification is provided in this SVM folder.
+ *
+ */
+
+/**
+ * @brief Integer exponentiation
+ * @param[in] x value
+ * @param[in] nb integer exponent >= 1
+ * @return x^nb
+ *
+ */
+__STATIC_INLINE float16_t arm_exponent_f16(float16_t x, int32_t nb)
+{
+ float16_t r = x;
+ nb --;
+ while(nb > 0)
+ {
+ r = r * x;
+ nb--;
+ }
+ return(r);
+}
+
+
+/**
+ * @brief Instance structure for linear SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float16_t intercept; /**< Intercept */
+ const float16_t *dualCoefficients; /**< Dual coefficients */
+ const float16_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+} arm_svm_linear_instance_f16;
+
+
+/**
+ * @brief Instance structure for polynomial SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float16_t intercept; /**< Intercept */
+ const float16_t *dualCoefficients; /**< Dual coefficients */
+ const float16_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ int32_t degree; /**< Polynomial degree */
+ float16_t coef0; /**< Polynomial constant */
+ float16_t gamma; /**< Gamma factor */
+} arm_svm_polynomial_instance_f16;
+
+/**
+ * @brief Instance structure for rbf SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float16_t intercept; /**< Intercept */
+ const float16_t *dualCoefficients; /**< Dual coefficients */
+ const float16_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ float16_t gamma; /**< Gamma factor */
+} arm_svm_rbf_instance_f16;
+
+/**
+ * @brief Instance structure for sigmoid SVM prediction function.
+ */
+typedef struct
+{
+ uint32_t nbOfSupportVectors; /**< Number of support vectors */
+ uint32_t vectorDimension; /**< Dimension of vector space */
+ float16_t intercept; /**< Intercept */
+ const float16_t *dualCoefficients; /**< Dual coefficients */
+ const float16_t *supportVectors; /**< Support vectors */
+ const int32_t *classes; /**< The two SVM classes */
+ float16_t coef0; /**< Independent constant */
+ float16_t gamma; /**< Gamma factor */
+} arm_svm_sigmoid_instance_f16;
+
+/**
+ * @brief SVM linear instance init function
+ * @param[in] S Parameters for SVM functions
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @return none.
+ *
+ */
+
+
+void arm_svm_linear_init_f16(arm_svm_linear_instance_f16 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float16_t intercept,
+ const float16_t *dualCoefficients,
+ const float16_t *supportVectors,
+ const int32_t *classes);
+
+/**
+ * @brief SVM linear prediction
+ * @param[in] S Pointer to an instance of the linear SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+
+void arm_svm_linear_predict_f16(const arm_svm_linear_instance_f16 *S,
+ const float16_t * in,
+ int32_t * pResult);
+
+
+/**
+ * @brief SVM polynomial instance init function
+ * @param[in] S points to an instance of the polynomial SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] degree Polynomial degree
+ * @param[in] coef0 coeff0 (scikit-learn terminology)
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+
+void arm_svm_polynomial_init_f16(arm_svm_polynomial_instance_f16 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float16_t intercept,
+ const float16_t *dualCoefficients,
+ const float16_t *supportVectors,
+ const int32_t *classes,
+ int32_t degree,
+ float16_t coef0,
+ float16_t gamma
+ );
+
+/**
+ * @brief SVM polynomial prediction
+ * @param[in] S Pointer to an instance of the polynomial SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+void arm_svm_polynomial_predict_f16(const arm_svm_polynomial_instance_f16 *S,
+ const float16_t * in,
+ int32_t * pResult);
+
+
+/**
+ * @brief SVM radial basis function instance init function
+ * @param[in] S points to an instance of the polynomial SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_rbf_init_f16(arm_svm_rbf_instance_f16 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float16_t intercept,
+ const float16_t *dualCoefficients,
+ const float16_t *supportVectors,
+ const int32_t *classes,
+ float16_t gamma
+ );
+
+/**
+ * @brief SVM rbf prediction
+ * @param[in] S Pointer to an instance of the rbf SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult decision value
+ * @return none.
+ *
+ */
+void arm_svm_rbf_predict_f16(const arm_svm_rbf_instance_f16 *S,
+ const float16_t * in,
+ int32_t * pResult);
+
+/**
+ * @brief SVM sigmoid instance init function
+ * @param[in] S points to an instance of the rbf SVM structure.
+ * @param[in] nbOfSupportVectors Number of support vectors
+ * @param[in] vectorDimension Dimension of vector space
+ * @param[in] intercept Intercept
+ * @param[in] dualCoefficients Array of dual coefficients
+ * @param[in] supportVectors Array of support vectors
+ * @param[in] classes Array of 2 classes ID
+ * @param[in] coef0 coeff0 (scikit-learn terminology)
+ * @param[in] gamma gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_sigmoid_init_f16(arm_svm_sigmoid_instance_f16 *S,
+ uint32_t nbOfSupportVectors,
+ uint32_t vectorDimension,
+ float16_t intercept,
+ const float16_t *dualCoefficients,
+ const float16_t *supportVectors,
+ const int32_t *classes,
+ float16_t coef0,
+ float16_t gamma
+ );
+
+/**
+ * @brief SVM sigmoid prediction
+ * @param[in] S Pointer to an instance of the rbf SVM structure.
+ * @param[in] in Pointer to input vector
+ * @param[out] pResult Decision value
+ * @return none.
+ *
+ */
+void arm_svm_sigmoid_predict_f16(const arm_svm_sigmoid_instance_f16 *S,
+ const float16_t * in,
+ int32_t * pResult);
+
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _SVM_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/transform_functions.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/transform_functions.h
new file mode 100644
index 00000000..6270e10c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/transform_functions.h
@@ -0,0 +1,735 @@
+/******************************************************************************
+ * @file transform_functions.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.10.0
+ * @date 08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _TRANSFORM_FUNCTIONS_H_
+#define _TRANSFORM_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions.h"
+#include "dsp/complex_math_functions.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupTransforms Transform Functions
+ */
+
+
+ /**
+ * @brief Instance structure for the Q15 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix2_instance_q15;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_q15(
+ arm_cfft_radix2_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_q15(
+ const arm_cfft_radix2_instance_q15 * S,
+ q15_t * pSrc);
+
+
+ /**
+ * @brief Instance structure for the Q15 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q15_t *pTwiddle; /**< points to the twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix4_instance_q15;
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_q15(
+ arm_cfft_radix4_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix4_q15(
+ const arm_cfft_radix4_instance_q15 * S,
+ q15_t * pSrc);
+
+ /**
+ * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q31_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix2_instance_q31;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_q31(
+ arm_cfft_radix2_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_q31(
+ const arm_cfft_radix2_instance_q31 * S,
+ q31_t * pSrc);
+
+ /**
+ * @brief Instance structure for the Q31 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const q31_t *pTwiddle; /**< points to the twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix4_instance_q31;
+
+/* Deprecated */
+ void arm_cfft_radix4_q31(
+ const arm_cfft_radix4_instance_q31 * S,
+ q31_t * pSrc);
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_q31(
+ arm_cfft_radix4_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float32_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix2_instance_f32;
+
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_f32(
+ arm_cfft_radix2_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_f32(
+ const arm_cfft_radix2_instance_f32 * S,
+ float32_t * pSrc);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float32_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix4_instance_f32;
+
+
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_f32(
+ arm_cfft_radix4_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix4_f32(
+ const arm_cfft_radix4_instance_f32 * S,
+ float32_t * pSrc);
+
+ /**
+ * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const q15_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+ const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \
+ const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \
+ const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \
+ const q15_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
+ const q15_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
+ const q15_t *rearranged_twiddle_stride3;
+#endif
+ } arm_cfft_instance_q15;
+
+arm_status arm_cfft_init_q15(
+ arm_cfft_instance_q15 * S,
+ uint16_t fftLen);
+
+void arm_cfft_q15(
+ const arm_cfft_instance_q15 * S,
+ q15_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const q31_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+ const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \
+ const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \
+ const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \
+ const q31_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
+ const q31_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
+ const q31_t *rearranged_twiddle_stride3;
+#endif
+ } arm_cfft_instance_q31;
+
+arm_status arm_cfft_init_q31(
+ arm_cfft_instance_q31 * S,
+ uint16_t fftLen);
+
+void arm_cfft_q31(
+ const arm_cfft_instance_q31 * S,
+ q31_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \
+ const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \
+ const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \
+ const float32_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
+ const float32_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
+ const float32_t *rearranged_twiddle_stride3;
+#endif
+ } arm_cfft_instance_f32;
+
+
+
+ arm_status arm_cfft_init_f32(
+ arm_cfft_instance_f32 * S,
+ uint16_t fftLen);
+
+ void arm_cfft_f32(
+ const arm_cfft_instance_f32 * S,
+ float32_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+
+ /**
+ * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const float64_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+ } arm_cfft_instance_f64;
+
+ arm_status arm_cfft_init_f64(
+ arm_cfft_instance_f64 * S,
+ uint16_t fftLen);
+
+ void arm_cfft_f64(
+ const arm_cfft_instance_f64 * S,
+ float64_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the Q15 RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ const q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ const q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+ arm_cfft_instance_q15 cfftInst;
+#else
+ const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+#endif
+ } arm_rfft_instance_q15;
+
+ arm_status arm_rfft_init_q15(
+ arm_rfft_instance_q15 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_q15(
+ const arm_rfft_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst);
+
+ /**
+ * @brief Instance structure for the Q31 RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ const q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ const q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+ arm_cfft_instance_q31 cfftInst;
+#else
+ const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+#endif
+ } arm_rfft_instance_q31;
+
+ arm_status arm_rfft_init_q31(
+ arm_rfft_instance_q31 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_q31(
+ const arm_rfft_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst);
+
+ /**
+ * @brief Instance structure for the floating-point RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint16_t fftLenBy2; /**< length of the complex FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ const float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ const float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+ arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+ } arm_rfft_instance_f32;
+
+ arm_status arm_rfft_init_f32(
+ arm_rfft_instance_f32 * S,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_f32(
+ const arm_rfft_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst);
+
+ /**
+ * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function.
+ */
+typedef struct
+ {
+ arm_cfft_instance_f64 Sint; /**< Internal CFFT structure. */
+ uint16_t fftLenRFFT; /**< length of the real sequence */
+ const float64_t * pTwiddleRFFT; /**< Twiddle factors real stage */
+ } arm_rfft_fast_instance_f64 ;
+
+arm_status arm_rfft_fast_init_f64 (
+ arm_rfft_fast_instance_f64 * S,
+ uint16_t fftLen);
+
+
+void arm_rfft_fast_f64(
+ arm_rfft_fast_instance_f64 * S,
+ float64_t * p, float64_t * pOut,
+ uint8_t ifftFlag);
+
+
+ /**
+ * @brief Instance structure for the floating-point RFFT/RIFFT function.
+ */
+typedef struct
+ {
+ arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */
+ uint16_t fftLenRFFT; /**< length of the real sequence */
+ const float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */
+ } arm_rfft_fast_instance_f32 ;
+
+arm_status arm_rfft_fast_init_f32 (
+ arm_rfft_fast_instance_f32 * S,
+ uint16_t fftLen);
+
+
+ void arm_rfft_fast_f32(
+ const arm_rfft_fast_instance_f32 * S,
+ float32_t * p, float32_t * pOut,
+ uint8_t ifftFlag);
+
+ /**
+ * @brief Instance structure for the floating-point DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ float32_t normalize; /**< normalizing factor. */
+ const float32_t *pTwiddle; /**< points to the twiddle factor table. */
+ const float32_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_f32 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_f32;
+
+
+ /**
+ * @brief Initialization function for the floating-point DCT4/IDCT4.
+ * @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure.
+ * @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure.
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length.
+ */
+ arm_status arm_dct4_init_f32(
+ arm_dct4_instance_f32 * S,
+ arm_rfft_instance_f32 * S_RFFT,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ float32_t normalize);
+
+
+ /**
+ * @brief Processing function for the floating-point DCT4/IDCT4.
+ * @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_f32(
+ const arm_dct4_instance_f32 * S,
+ float32_t * pState,
+ float32_t * pInlineBuffer);
+
+
+ /**
+ * @brief Instance structure for the Q31 DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ q31_t normalize; /**< normalizing factor. */
+ const q31_t *pTwiddle; /**< points to the twiddle factor table. */
+ const q31_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_q31 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_q31;
+
+
+ /**
+ * @brief Initialization function for the Q31 DCT4/IDCT4.
+ * @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure
+ * @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
+ */
+ arm_status arm_dct4_init_q31(
+ arm_dct4_instance_q31 * S,
+ arm_rfft_instance_q31 * S_RFFT,
+ arm_cfft_radix4_instance_q31 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q31_t normalize);
+
+
+ /**
+ * @brief Processing function for the Q31 DCT4/IDCT4.
+ * @param[in] S points to an instance of the Q31 DCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_q31(
+ const arm_dct4_instance_q31 * S,
+ q31_t * pState,
+ q31_t * pInlineBuffer);
+
+
+ /**
+ * @brief Instance structure for the Q15 DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ q15_t normalize; /**< normalizing factor. */
+ const q15_t *pTwiddle; /**< points to the twiddle factor table. */
+ const q15_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_q15 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_q15;
+
+
+ /**
+ * @brief Initialization function for the Q15 DCT4/IDCT4.
+ * @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure.
+ * @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure.
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
+ */
+ arm_status arm_dct4_init_q15(
+ arm_dct4_instance_q15 * S,
+ arm_rfft_instance_q15 * S_RFFT,
+ arm_cfft_radix4_instance_q15 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q15_t normalize);
+
+
+ /**
+ * @brief Processing function for the Q15 DCT4/IDCT4.
+ * @param[in] S points to an instance of the Q15 DCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_q15(
+ const arm_dct4_instance_q15 * S,
+ q15_t * pState,
+ q15_t * pInlineBuffer);
+
+ /**
+ * @brief Instance structure for the Floating-point MFCC function.
+ */
+typedef struct
+ {
+ const float32_t *dctCoefs; /**< Internal DCT coefficients */
+ const float32_t *filterCoefs; /**< Internal Mel filter coefficients */
+ const float32_t *windowCoefs; /**< Windowing coefficients */
+ const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */
+ const uint32_t *filterLengths; /**< Internal Mel filter lengths */
+ uint32_t fftLen; /**< FFT length */
+ uint32_t nbMelFilters; /**< Number of Mel filters */
+ uint32_t nbDctOutputs; /**< Number of DCT outputs */
+#if defined(ARM_MFCC_CFFT_BASED)
+ /* Implementation of the MFCC is using a CFFT */
+ arm_cfft_instance_f32 cfft; /**< Internal CFFT instance */
+#else
+ /* Implementation of the MFCC is using a RFFT (default) */
+ arm_rfft_fast_instance_f32 rfft;
+#endif
+ } arm_mfcc_instance_f32 ;
+
+arm_status arm_mfcc_init_f32(
+ arm_mfcc_instance_f32 * S,
+ uint32_t fftLen,
+ uint32_t nbMelFilters,
+ uint32_t nbDctOutputs,
+ const float32_t *dctCoefs,
+ const uint32_t *filterPos,
+ const uint32_t *filterLengths,
+ const float32_t *filterCoefs,
+ const float32_t *windowCoefs
+ );
+
+
+/**
+ @brief MFCC F32
+ @param[in] S points to the mfcc instance structure
+ @param[in] pSrc points to the input samples
+ @param[out] pDst points to the output MFCC values
+ @param[inout] pTmp points to a temporary buffer of complex
+ @return none
+ */
+ void arm_mfcc_f32(
+ const arm_mfcc_instance_f32 * S,
+ float32_t *pSrc,
+ float32_t *pDst,
+ float32_t *pTmp
+ );
+
+typedef struct
+ {
+ const q31_t *dctCoefs; /**< Internal DCT coefficients */
+ const q31_t *filterCoefs; /**< Internal Mel filter coefficients */
+ const q31_t *windowCoefs; /**< Windowing coefficients */
+ const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */
+ const uint32_t *filterLengths; /**< Internal Mel filter lengths */
+ uint32_t fftLen; /**< FFT length */
+ uint32_t nbMelFilters; /**< Number of Mel filters */
+ uint32_t nbDctOutputs; /**< Number of DCT outputs */
+#if defined(ARM_MFCC_CFFT_BASED)
+ /* Implementation of the MFCC is using a CFFT */
+ arm_cfft_instance_q31 cfft; /**< Internal CFFT instance */
+#else
+ /* Implementation of the MFCC is using a RFFT (default) */
+ arm_rfft_instance_q31 rfft;
+#endif
+ } arm_mfcc_instance_q31 ;
+
+arm_status arm_mfcc_init_q31(
+ arm_mfcc_instance_q31 * S,
+ uint32_t fftLen,
+ uint32_t nbMelFilters,
+ uint32_t nbDctOutputs,
+ const q31_t *dctCoefs,
+ const uint32_t *filterPos,
+ const uint32_t *filterLengths,
+ const q31_t *filterCoefs,
+ const q31_t *windowCoefs
+ );
+
+
+/**
+ @brief MFCC Q31
+ @param[in] S points to the mfcc instance structure
+ @param[in] pSrc points to the input samples
+ @param[out] pDst points to the output MFCC values
+ @param[inout] pTmp points to a temporary buffer of complex
+ @return none
+ */
+ arm_status arm_mfcc_q31(
+ const arm_mfcc_instance_q31 * S,
+ q31_t *pSrc,
+ q31_t *pDst,
+ q31_t *pTmp
+ );
+
+typedef struct
+ {
+ const q15_t *dctCoefs; /**< Internal DCT coefficients */
+ const q15_t *filterCoefs; /**< Internal Mel filter coefficients */
+ const q15_t *windowCoefs; /**< Windowing coefficients */
+ const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */
+ const uint32_t *filterLengths; /**< Internal Mel filter lengths */
+ uint32_t fftLen; /**< FFT length */
+ uint32_t nbMelFilters; /**< Number of Mel filters */
+ uint32_t nbDctOutputs; /**< Number of DCT outputs */
+#if defined(ARM_MFCC_CFFT_BASED)
+ /* Implementation of the MFCC is using a CFFT */
+ arm_cfft_instance_q15 cfft; /**< Internal CFFT instance */
+#else
+ /* Implementation of the MFCC is using a RFFT (default) */
+ arm_rfft_instance_q15 rfft;
+#endif
+ } arm_mfcc_instance_q15 ;
+
+arm_status arm_mfcc_init_q15(
+ arm_mfcc_instance_q15 * S,
+ uint32_t fftLen,
+ uint32_t nbMelFilters,
+ uint32_t nbDctOutputs,
+ const q15_t *dctCoefs,
+ const uint32_t *filterPos,
+ const uint32_t *filterLengths,
+ const q15_t *filterCoefs,
+ const q15_t *windowCoefs
+ );
+
+
+/**
+ @brief MFCC Q15
+ @param[in] S points to the mfcc instance structure
+ @param[in] pSrc points to the input samples
+ @param[out] pDst points to the output MFCC values in q8.7 format
+ @param[inout] pTmp points to a temporary buffer of complex
+ @return error status
+ */
+ arm_status arm_mfcc_q15(
+ const arm_mfcc_instance_q15 * S,
+ q15_t *pSrc,
+ q15_t *pDst,
+ q31_t *pTmp
+ );
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/transform_functions_f16.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/transform_functions_f16.h
new file mode 100644
index 00000000..67f1adc2
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/transform_functions_f16.h
@@ -0,0 +1,157 @@
+/******************************************************************************
+ * @file transform_functions_f16.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.9.0
+ * @date 23 April 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#ifndef _TRANSFORM_FUNCTIONS_F16_H_
+#define _TRANSFORM_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const float16_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float16_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix2_instance_f16;
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ const float16_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float16_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix4_instance_f16;
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const float16_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \
+ const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \
+ const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \
+ const float16_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
+ const float16_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
+ const float16_t *rearranged_twiddle_stride3;
+#endif
+ } arm_cfft_instance_f16;
+
+
+ arm_status arm_cfft_init_f16(
+ arm_cfft_instance_f16 * S,
+ uint16_t fftLen);
+
+ void arm_cfft_f16(
+ const arm_cfft_instance_f16 * S,
+ float16_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the floating-point RFFT/RIFFT function.
+ */
+typedef struct
+ {
+ arm_cfft_instance_f16 Sint; /**< Internal CFFT structure. */
+ uint16_t fftLenRFFT; /**< length of the real sequence */
+ const float16_t * pTwiddleRFFT; /**< Twiddle factors real stage */
+ } arm_rfft_fast_instance_f16 ;
+
+arm_status arm_rfft_fast_init_f16 (
+ arm_rfft_fast_instance_f16 * S,
+ uint16_t fftLen);
+
+
+ void arm_rfft_fast_f16(
+ const arm_rfft_fast_instance_f16 * S,
+ float16_t * p, float16_t * pOut,
+ uint8_t ifftFlag);
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_f16(
+ arm_cfft_radix4_instance_f16 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix4_f16(
+ const arm_cfft_radix4_instance_f16 * S,
+ float16_t * pSrc);
+
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_f16(
+ arm_cfft_radix2_instance_f16 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_f16(
+ const arm_cfft_radix2_instance_f16 * S,
+ float16_t * pSrc);
+
+#endif /* defined(ARM_FLOAT16_SUPPORTED)*/
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* ifndef _TRANSFORM_FUNCTIONS_F16_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/utils.h b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/utils.h
new file mode 100644
index 00000000..7f5acb37
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Include/dsp/utils.h
@@ -0,0 +1,240 @@
+/******************************************************************************
+ * @file arm_math_utils.h
+ * @brief Public header file for CMSIS DSP Library
+ * @version V1.9.0
+ * @date 20. July 2020
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_MATH_UTILS_H_
+
+#define _ARM_MATH_UTILS_H_
+
+#include "arm_math_types.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+ /**
+ * @brief Macros required for reciprocal calculation in Normalized LMS
+ */
+
+#define INDEX_MASK 0x0000003F
+
+
+#define SQ(x) ((x) * (x))
+
+#define ROUND_UP(N, S) ((((N) + (S) - 1) / (S)) * (S))
+
+
+ /**
+ * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type.
+ */
+ __STATIC_FORCEINLINE uint32_t arm_recip_q31(
+ q31_t in,
+ q31_t * dst,
+ const q31_t * pRecipTable)
+ {
+ q31_t out;
+ uint32_t tempVal;
+ uint32_t index, i;
+ uint32_t signBits;
+
+ if (in > 0)
+ {
+ signBits = ((uint32_t) (__CLZ( in) - 1));
+ }
+ else
+ {
+ signBits = ((uint32_t) (__CLZ(-in) - 1));
+ }
+
+ /* Convert input sample to 1.31 format */
+ in = (in << signBits);
+
+ /* calculation of index for initial approximated Val */
+ index = (uint32_t)(in >> 24);
+ index = (index & INDEX_MASK);
+
+ /* 1.31 with exp 1 */
+ out = pRecipTable[index];
+
+ /* calculation of reciprocal value */
+ /* running approximation for two iterations */
+ for (i = 0U; i < 2U; i++)
+ {
+ tempVal = (uint32_t) (((q63_t) in * out) >> 31);
+ tempVal = 0x7FFFFFFFu - tempVal;
+ /* 1.31 with exp 1 */
+ /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */
+ out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30);
+ }
+
+ /* write output */
+ *dst = out;
+
+ /* return num of signbits of out = 1/in value */
+ return (signBits + 1U);
+ }
+
+
+ /**
+ * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.
+ */
+ __STATIC_FORCEINLINE uint32_t arm_recip_q15(
+ q15_t in,
+ q15_t * dst,
+ const q15_t * pRecipTable)
+ {
+ q15_t out = 0;
+ uint32_t tempVal = 0;
+ uint32_t index = 0, i = 0;
+ uint32_t signBits = 0;
+
+ if (in > 0)
+ {
+ signBits = ((uint32_t)(__CLZ( in) - 17));
+ }
+ else
+ {
+ signBits = ((uint32_t)(__CLZ(-in) - 17));
+ }
+
+ /* Convert input sample to 1.15 format */
+ in = (in << signBits);
+
+ /* calculation of index for initial approximated Val */
+ index = (uint32_t)(in >> 8);
+ index = (index & INDEX_MASK);
+
+ /* 1.15 with exp 1 */
+ out = pRecipTable[index];
+
+ /* calculation of reciprocal value */
+ /* running approximation for two iterations */
+ for (i = 0U; i < 2U; i++)
+ {
+ tempVal = (uint32_t) (((q31_t) in * out) >> 15);
+ tempVal = 0x7FFFu - tempVal;
+ /* 1.15 with exp 1 */
+ out = (q15_t) (((q31_t) out * tempVal) >> 14);
+ /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */
+ }
+
+ /* write output */
+ *dst = out;
+
+ /* return num of signbits of out = 1/in value */
+ return (signBits + 1);
+ }
+
+
+/**
+ * @brief 64-bit to 32-bit unsigned normalization
+ * @param[in] in is input unsigned long long value
+ * @param[out] normalized is the 32-bit normalized value
+ * @param[out] norm is norm scale
+ */
+__STATIC_INLINE void arm_norm_64_to_32u(uint64_t in, int32_t * normalized, int32_t *norm)
+{
+ int32_t n1;
+ int32_t hi = (int32_t) (in >> 32);
+ int32_t lo = (int32_t) ((in << 32) >> 32);
+
+ n1 = __CLZ(hi) - 32;
+ if (!n1)
+ {
+ /*
+ * input fits in 32-bit
+ */
+ n1 = __CLZ(lo);
+ if (!n1)
+ {
+ /*
+ * MSB set, need to scale down by 1
+ */
+ *norm = -1;
+ *normalized = (((uint32_t) lo) >> 1);
+ } else
+ {
+ if (n1 == 32)
+ {
+ /*
+ * input is zero
+ */
+ *norm = 0;
+ *normalized = 0;
+ } else
+ {
+ /*
+ * 32-bit normalization
+ */
+ *norm = n1 - 1;
+ *normalized = lo << *norm;
+ }
+ }
+ } else
+ {
+ /*
+ * input fits in 64-bit
+ */
+ n1 = 1 - n1;
+ *norm = -n1;
+ /*
+ * 64 bit normalization
+ */
+ *normalized = (((uint32_t) lo) >> n1) | (hi << (32 - n1));
+ }
+}
+
+__STATIC_INLINE q31_t arm_div_q63_to_q31(q63_t num, q31_t den)
+{
+ q31_t result;
+ uint64_t absNum;
+ int32_t normalized;
+ int32_t norm;
+
+ /*
+ * if sum fits in 32bits
+ * avoid costly 64-bit division
+ */
+ absNum = num > 0 ? num : -num;
+ arm_norm_64_to_32u(absNum, &normalized, &norm);
+ if (norm > 0)
+ /*
+ * 32-bit division
+ */
+ result = (q31_t) num / den;
+ else
+ /*
+ * 64-bit division
+ */
+ result = (q31_t) (num / den);
+
+ return result;
+}
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /*ifndef _ARM_MATH_UTILS_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_sorting.h b/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_sorting.h
new file mode 100644
index 00000000..ec002b2f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_sorting.h
@@ -0,0 +1,200 @@
+/******************************************************************************
+ * @file arm_sorting.h
+ * @brief Private header file for CMSIS DSP Library
+ * @version V1.7.0
+ * @date 2019
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_SORTING_H_
+#define _ARM_SORTING_H_
+
+#include "arm_math.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_bubble_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_heap_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_insertion_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t *pSrc,
+ float32_t* pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_quick_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_selection_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @param[in] S points to an instance of the sorting structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_bitonic_sort_f32(
+ const arm_sort_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+#if defined(ARM_MATH_NEON)
+
+#define vtrn256_128q(a, b) \
+do { \
+ float32x4_t vtrn128_temp = a.val[1]; \
+ a.val[1] = b.val[0]; \
+ b.val[0] = vtrn128_temp ; \
+} while (0)
+
+#define vtrn128_64q(a, b) \
+do { \
+ float32x2_t ab, cd, ef, gh; \
+ ab = vget_low_f32(a); \
+ ef = vget_low_f32(b); \
+ cd = vget_high_f32(a); \
+ gh = vget_high_f32(b); \
+ a = vcombine_f32(ab, ef); \
+ b = vcombine_f32(cd, gh); \
+} while (0)
+
+#define vtrn256_64q(a, b) \
+do { \
+ float32x2_t a_0, a_1, a_2, a_3; \
+ float32x2_t b_0, b_1, b_2, b_3; \
+ a_0 = vget_low_f32(a.val[0]); \
+ a_1 = vget_high_f32(a.val[0]); \
+ a_2 = vget_low_f32(a.val[1]); \
+ a_3 = vget_high_f32(a.val[1]); \
+ b_0 = vget_low_f32(b.val[0]); \
+ b_1 = vget_high_f32(b.val[0]); \
+ b_2 = vget_low_f32(b.val[1]); \
+ b_3 = vget_high_f32(b.val[1]); \
+ a.val[0] = vcombine_f32(a_0, b_0); \
+ a.val[1] = vcombine_f32(a_2, b_2); \
+ b.val[0] = vcombine_f32(a_1, b_1); \
+ b.val[1] = vcombine_f32(a_3, b_3); \
+} while (0)
+
+#define vtrn128_32q(a, b) \
+do { \
+ float32x4x2_t vtrn32_tmp = vtrnq_f32((a), (b)); \
+ (a) = vtrn32_tmp.val[0]; \
+ (b) = vtrn32_tmp.val[1]; \
+} while (0)
+
+#define vtrn256_32q(a, b) \
+do { \
+ float32x4x2_t vtrn32_tmp_1 = vtrnq_f32((a.val[0]), (b.val[0])); \
+ float32x4x2_t vtrn32_tmp_2 = vtrnq_f32((a.val[1]), (b.val[1])); \
+ a.val[0] = vtrn32_tmp_1.val[0]; \
+ a.val[1] = vtrn32_tmp_2.val[0]; \
+ b.val[0] = vtrn32_tmp_1.val[1]; \
+ b.val[1] = vtrn32_tmp_2.val[1]; \
+} while (0)
+
+#define vminmaxq(a, b) \
+ do { \
+ float32x4_t minmax_tmp = (a); \
+ (a) = vminq_f32((a), (b)); \
+ (b) = vmaxq_f32(minmax_tmp, (b)); \
+} while (0)
+
+#define vminmax256q(a, b) \
+ do { \
+ float32x4x2_t minmax256_tmp = (a); \
+ a.val[0] = vminq_f32(a.val[0], b.val[0]); \
+ a.val[1] = vminq_f32(a.val[1], b.val[1]); \
+ b.val[0] = vmaxq_f32(minmax256_tmp.val[0], b.val[0]); \
+ b.val[1] = vmaxq_f32(minmax256_tmp.val[1], b.val[1]); \
+} while (0)
+
+#define vrev128q_f32(a) \
+ vcombine_f32(vrev64_f32(vget_high_f32(a)), vrev64_f32(vget_low_f32(a)))
+
+#define vrev256q_f32(a) \
+ do { \
+ float32x4_t rev_tmp = vcombine_f32(vrev64_f32(vget_high_f32(a.val[0])), vrev64_f32(vget_low_f32(a.val[0]))); \
+ a.val[0] = vcombine_f32(vrev64_f32(vget_high_f32(a.val[1])), vrev64_f32(vget_low_f32(a.val[1]))); \
+ a.val[1] = rev_tmp; \
+} while (0)
+
+#define vldrev128q_f32(a, p) \
+ do { \
+ a = vld1q_f32(p); \
+ a = vrev128q_f32(a); \
+} while (0)
+
+#endif /* ARM_MATH_NEON */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* _ARM_SORTING_H */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_vec_fft.h b/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_vec_fft.h
new file mode 100644
index 00000000..fdf6498c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_vec_fft.h
@@ -0,0 +1,325 @@
+/******************************************************************************
+ * @file arm_vec_fft.h
+ * @brief Private header file for CMSIS DSP Library
+ * @version V1.7.0
+ * @date 07. January 2020
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_VEC_FFT_H_
+#define _ARM_VEC_FFT_H_
+
+#include "arm_math.h"
+#include "arm_helium_utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MVE_CMPLX_ADD_A_ixB(A, B) vcaddq_rot90(A,B)
+#define MVE_CMPLX_SUB_A_ixB(A,B) vcaddq_rot270(A,B)
+#define MVE_CMPLX_MULT_FLT_AxB(A,B) vcmlaq_rot90(vcmulq(A, B), A, B)
+#define MVE_CMPLX_MULT_FLT_Conj_AxB(A,B) vcmlaq_rot270(vcmulq(A, B), A, B)
+
+#define MVE_CMPLX_MULT_FX_AxB(A,B,TyA) vqdmladhxq(vqdmlsdhq((TyA)vuninitializedq_s32(), A, B), A, B)
+#define MVE_CMPLX_MULT_FX_AxConjB(A,B,TyA) vqdmladhq(vqdmlsdhxq((TyA)vuninitializedq_s32(), A, B), A, B)
+
+#define MVE_CMPLX_ADD_FX_A_ixB(A, B) vhcaddq_rot90(A,B)
+#define MVE_CMPLX_SUB_FX_A_ixB(A,B) vhcaddq_rot270(A,B)
+
+
+/**
+ @brief In-place 32 bit reversal function for helium
+ @param[in,out] pSrc points to in-place buffer of unknown 32-bit data type
+ @param[in] bitRevLen bit reversal table length
+ @param[in] pBitRevTab points to bit reversal table
+ @return none
+*/
+
+__STATIC_INLINE void arm_bitreversal_32_inpl_mve(
+ uint32_t *pSrc,
+ const uint16_t bitRevLen,
+ const uint16_t *pBitRevTab)
+
+{
+ uint64_t *src = (uint64_t *) pSrc;
+ int32_t blkCnt; /* loop counters */
+ uint32x4_t bitRevTabOff;
+ uint32x4_t one = vdupq_n_u32(1);
+ uint64x2_t inLow, inHigh;
+ uint64x2_t bitRevOff1Low, bitRevOff0Low;
+ uint64x2_t bitRevOff1High, bitRevOff0High;
+
+ /* load scheduling to increase gather load idx update / gather load distance */
+ bitRevTabOff = vldrhq_u32(pBitRevTab);
+ pBitRevTab += 4;
+
+ bitRevOff0Low = vmullbq_int_u32(bitRevTabOff, one);
+ bitRevOff0High = vmulltq_int_u32(bitRevTabOff, one);
+
+
+ blkCnt = bitRevLen / 8;
+ while (blkCnt > 0) {
+ bitRevTabOff = vldrhq_u32(pBitRevTab);
+ pBitRevTab += 4;
+
+ /* 64-bit index expansion */
+ bitRevOff1Low = vmullbq_int_u32(bitRevTabOff, one);
+ bitRevOff1High = vmulltq_int_u32(bitRevTabOff, one);
+
+ inLow = vldrdq_gather_offset_u64(src, bitRevOff0Low);
+ inHigh = vldrdq_gather_offset_u64(src, bitRevOff0High);
+
+ vstrdq_scatter_offset_u64(src, bitRevOff0Low, inHigh);
+ vstrdq_scatter_offset_u64(src, bitRevOff0High, inLow);
+
+
+ /* unrolled */
+ bitRevTabOff = vldrhq_u32(pBitRevTab);
+ pBitRevTab += 4;
+
+ bitRevOff0Low = vmullbq_int_u32(bitRevTabOff, one);
+ bitRevOff0High = vmulltq_int_u32(bitRevTabOff, one);
+
+ inLow = vldrdq_gather_offset_u64(src, bitRevOff1Low);
+ inHigh = vldrdq_gather_offset_u64(src, bitRevOff1High);
+
+ vstrdq_scatter_offset_u64(src, bitRevOff1Low, inHigh);
+ vstrdq_scatter_offset_u64(src, bitRevOff1High, inLow);
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ if (bitRevLen & 7) {
+ /* FFT size = 16 */
+ inLow = vldrdq_gather_offset_u64(src, bitRevOff0Low);
+ inHigh = vldrdq_gather_offset_u64(src, bitRevOff0High);
+
+ vstrdq_scatter_offset_u64(src, bitRevOff0Low, inHigh);
+ vstrdq_scatter_offset_u64(src, bitRevOff0High, inLow);
+ }
+}
+
+
+
+/**
+ @brief In-place 16 bit reversal function for helium
+ @param[in,out] pSrc points to in-place buffer of unknown 16-bit data type
+ @param[in] bitRevLen bit reversal table length
+ @param[in] pBitRevTab points to bit reversal table
+ @return none
+*/
+
+__STATIC_INLINE void arm_bitreversal_16_inpl_mve(
+ uint16_t *pSrc,
+ const uint16_t bitRevLen,
+ const uint16_t *pBitRevTab)
+
+{
+ uint32_t *src = (uint32_t *) pSrc;
+ int32_t blkCnt; /* loop counters */
+ uint32x4_t bitRevTabOff;
+ uint16x8_t one = vdupq_n_u16(1);
+ uint32x4_t bitRevOff1Low, bitRevOff0Low;
+ uint32x4_t bitRevOff1High, bitRevOff0High;
+ uint32x4_t inLow, inHigh;
+
+ /* load scheduling to increase gather load idx update / gather load distance */
+ bitRevTabOff = vldrhq_u16(pBitRevTab);
+ pBitRevTab += 8;
+
+ bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff0Low = vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3);
+ bitRevOff0High = vshrq_n_u16((uint16x8_t)bitRevOff0High, 3);
+
+ blkCnt = (bitRevLen / 16);
+ while (blkCnt > 0) {
+ bitRevTabOff = vldrhq_u16(pBitRevTab);
+ pBitRevTab += 8;
+
+ bitRevOff1Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff1High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff1Low = vshrq_n_u16((uint16x8_t)bitRevOff1Low, 3);
+ bitRevOff1High = vshrq_n_u16((uint16x8_t)bitRevOff1High, 3);
+
+ inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low);
+ inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High);
+
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh);
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow);
+
+ /* loop unrolling */
+ bitRevTabOff = vldrhq_u16(pBitRevTab);
+ pBitRevTab += 8;
+
+ bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff0Low = vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3);
+ bitRevOff0High = vshrq_n_u16((uint16x8_t)bitRevOff0High, 3);
+
+ inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff1Low);
+ inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff1High);
+
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff1Low, inHigh);
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff1High, inLow);
+
+ blkCnt--;
+ }
+
+ /* tail handling */
+ blkCnt = bitRevLen & 0xf;
+ if (blkCnt == 8) {
+ inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low);
+ inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High);
+
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh);
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow);
+ } else if (blkCnt == 12) {
+ /* FFT 16 special case */
+ mve_pred16_t p = vctp16q(4);
+
+ bitRevTabOff = vldrhq_z_u16(pBitRevTab, p);
+
+ inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low);
+ inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High);
+
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh);
+ vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow);
+
+ bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+ bitRevOff0Low = vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3);
+ bitRevOff0High = vshrq_n_u16((uint16x8_t)bitRevOff0High, 3);
+
+ inLow = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff0Low, p);
+ inHigh = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff0High, p);
+
+ vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff0Low, inHigh, p);
+ vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff0High, inLow, p);
+ }
+}
+
+/**
+ @brief Out-of-place 32 bit reversal function for helium
+ @param[out] pDst points to destination buffer of unknown 32-bit data type
+ @param[in] pSrc points to input buffer of unknown 32-bit data type
+ @param[in] fftLen FFT length
+ @return none
+*/
+__STATIC_INLINE void arm_bitreversal_32_outpl_mve(void *pDst, void *pSrc, uint32_t fftLen)
+{
+ uint32x4_t idxOffs0, idxOffs1, bitRevOffs0, bitRevOffs1;
+ uint32_t bitRevPos, blkCnt;
+ uint32_t *pDst32 = (uint32_t *) pDst;
+
+ /* fwd indexes */
+ idxOffs0 = vdupq_n_u32(0);
+ idxOffs1 = vdupq_n_u32(0);
+ idxOffs0[0] = 0; idxOffs0[2] = 4;
+ idxOffs1[0] = 8; idxOffs1[2] = 12;
+
+ bitRevPos = (31 - __CLZ(fftLen)) + 5;
+ blkCnt = fftLen >> 2;
+
+ /* issued earlier to increase gather load idx update / gather load distance */
+ /* bit-reverse fwd indexes */
+ bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+ bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+ while (blkCnt > 0) {
+ uint64x2_t vecIn;
+
+ vecIn = vldrdq_gather_offset_u64(pSrc, (uint64x2_t) bitRevOffs0);
+ idxOffs0 = idxOffs0 + 16;
+ vst1q(pDst32, (uint32x4_t) vecIn);
+ pDst32 += 4;
+ bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+
+ vecIn = vldrdq_gather_offset_u64(pSrc, (uint64x2_t) bitRevOffs1);
+ idxOffs1 = idxOffs1 + 16;
+ vst1q(pDst32, (uint32x4_t) vecIn);
+ pDst32 += 4;
+ bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+
+ blkCnt--;
+ }
+}
+
+
+/**
+ @brief Out-of-place 16 bit reversal function for helium
+ @param[out] pDst points to destination buffer of unknown 16-bit data type
+ @param[in] pSrc points to input buffer of unknown 16-bit data type
+ @param[in] fftLen FFT length
+ @return none
+*/
+
+__STATIC_INLINE void arm_bitreversal_16_outpl_mve(void *pDst, void *pSrc, uint32_t fftLen)
+{
+ uint32x4_t idxOffs0, idxOffs1, bitRevOffs0, bitRevOffs1;
+ uint32_t bitRevPos, blkCnt;
+ uint16_t *pDst16 = (uint16_t *) pDst;
+ uint32_t incrIdx = 0;
+
+ /* fwd indexes */
+ idxOffs0 = vidupq_wb_u32(&incrIdx, 4); // {0, 4, 8, 12}
+ idxOffs1 = vidupq_wb_u32(&incrIdx, 4); // {16, 20, 24, 28}
+
+ bitRevPos = (31 - __CLZ(fftLen)) + 4;
+ blkCnt = fftLen >> 3;
+
+ /* issued earlier to increase gather load idx update / gather load distance */
+ /* bit-reverse fwd indexes */
+ bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+ bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+ while (blkCnt > 0) {
+ uint32x4_t vecIn;
+
+ vecIn = vldrwq_gather_offset_s32(pSrc, bitRevOffs0);
+ idxOffs0 = idxOffs0 + 32;
+ vst1q(pDst16, (uint16x8_t) vecIn);
+ pDst16 += 8;
+ bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+
+ vecIn = vldrwq_gather_offset_s32(pSrc, bitRevOffs1);
+ idxOffs1 = idxOffs1 + 32;
+ vst1q(pDst16, (uint16x8_t) vecIn);
+ pDst16 += 8;
+ bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+
+ blkCnt--;
+ }
+}
+
+
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/
+
+
+#ifdef __cplusplus
+}
+#endif
+
+
+#endif /* _ARM_VEC_FFT_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_vec_filtering.h b/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_vec_filtering.h
new file mode 100644
index 00000000..b2a06903
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/PrivateInclude/arm_vec_filtering.h
@@ -0,0 +1,1586 @@
+/******************************************************************************
+ * @file arm_vec_filtering.h
+ * @brief Private header file for CMSIS DSP Library
+ * @version V1.7.0
+ * @date 30. October 2019
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_VEC_FILTERING_H_
+#define _ARM_VEC_FILTERING_H_
+
+#include "arm_math.h"
+#include "arm_helium_utils.h"
+
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F32(acc0, acc1, acc2, acc3, pX, pY, count)\
+{ \
+ float32_t const *pSrcX, *pSrcY; \
+ f32x4_t acc0Vec, acc1Vec, acc2Vec, acc3Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f32(0.0f); \
+ acc1Vec = vdupq_n_f32(0.0f); \
+ acc2Vec = vdupq_n_f32(0.0f); \
+ acc3Vec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ pSrcY = (float32_t const *) pY; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \
+ xVec = vldrwq_f32(&pSrcX[2]); \
+ acc2Vec = vfmaq_f32(acc2Vec, xVec, yVec); \
+ xVec = vldrwq_f32(&pSrcX[3]); \
+ acc3Vec = vfmaq_f32(acc3Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \
+ xVec = vldrwq_f32(&pSrcX[2]); \
+ acc2Vec = vfmaq_m_f32(acc2Vec, xVec, yVec, p0); \
+ xVec = vldrwq_f32(&pSrcX[3]); \
+ acc3Vec = vfmaq_m_f32(acc3Vec, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = vecAddAcrossF32Mve(acc0Vec); \
+ acc1 = vecAddAcrossF32Mve(acc1Vec); \
+ acc2 = vecAddAcrossF32Mve(acc2Vec); \
+ acc3 = vecAddAcrossF32Mve(acc3Vec); \
+}
+
+#define MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count) \
+{ \
+ float32_t const *pSrcX, *pSrcY; \
+ f32x4_t accVec, xVec, yVec; \
+ uint32_t k; \
+ \
+ accVec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ pSrcY = (float32_t const *) pY; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ accVec = vfmaq_f32(accVec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ accVec = vfmaq_m_f32(accVec, xVec, yVec, p0);\
+ } \
+ acc = vecAddAcrossF32Mve(accVec); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count)\
+{ \
+ float32_t const *pSrcX, *pSrcY; \
+ f32x4_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f32(0.0f); \
+ acc1Vec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ pSrcY = (float32_t const *) pY; \
+ k = (count-1) >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ k = (count-1) % 0x4U; \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp32q(k+1); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \
+ \
+ acc0 = vecAddAcrossF32Mve(acc0Vec); \
+ acc1 = vecAddAcrossF32Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count)\
+{ \
+ float32_t const *pSrcX, *pSrcY; \
+ f32x4_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f32(0.0f); \
+ acc1Vec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ pSrcY = (float32_t const *) pY; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = vecAddAcrossF32Mve(acc0Vec); \
+ acc1 = vecAddAcrossF32Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count)\
+{ \
+ float32_t const *pSrcX, *pSrcY; \
+ f32x4_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f32(0.0f); \
+ acc1Vec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ pSrcY = (float32_t const *) pY; \
+ k = count >> 2; \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ yVec = vldrwq_f32(&pSrcY[-1]); \
+ acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x4U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ mve_pred16_t p0 = vctp32q(k+1); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ yVec = vldrwq_f32(&pSrcY[-1]); \
+ acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec,p0); \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); \
+ pSrcY += 4; \
+ acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec,p0); \
+ \
+ acc0 = vecAddAcrossF32Mve(acc0Vec); \
+ acc1 = vecAddAcrossF32Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count) \
+{ \
+ float32_t const *pSrcX; \
+ f32x4_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f32(0.0f); \
+ acc1Vec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ k = (count - 1) >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ pY-=4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = (count - 1) % 0x4U; \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ p0 = vctp32q(k+1); \
+ acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \
+ \
+ acc0 = vecAddAcrossF32Mve(acc0Vec); \
+ acc1 = vecAddAcrossF32Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count) \
+{ \
+ float32_t const *pSrcX; \
+ f32x4_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f32(0.0f); \
+ acc1Vec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ pY-=4; \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ xVec = vldrwq_f32(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \
+ } \
+ acc0 = vecAddAcrossF32Mve(acc0Vec); \
+ acc1 = vecAddAcrossF32Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count)\
+{ \
+ float32_t const *pSrcX; \
+ const float32_t *pY1 = pY + 1; \
+ f32x4_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f32(0.0f); \
+ acc1Vec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ pY-=4; \
+ acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \
+ yVec = vldrwq_gather_shifted_offset_f32(pY1, decrIdxVec); \
+ pY1-=4; \
+ acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x4U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ mve_pred16_t p0 = vctp32q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \
+ yVec = vldrwq_gather_shifted_offset_f32(pY1, decrIdxVec); \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp32q(k+1); \
+ acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \
+ \
+ acc0 = vecAddAcrossF32Mve(acc0Vec); \
+ acc1 = vecAddAcrossF32Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count) \
+{ \
+ float32_t const *pSrcX; \
+ f32x4_t accVec, xVec, yVec; \
+ uint32_t k; \
+ \
+ accVec = vdupq_n_f32(0.0f); \
+ pSrcX = (float32_t const *) pX; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ pY-=4; \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ accVec = vfmaq_f32(accVec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \
+ accVec = vfmaq_m_f32(accVec, xVec, yVec, p0); \
+ } \
+ acc = vecAddAcrossF32Mve(accVec); \
+}
+
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/
+
+#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM))
+
+#define MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count) \
+{ \
+ q31_t const *pSrcX; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ pY-=4; \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc = vmlaldavaq(acc, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ acc = vmlaldavaq_p(acc, xVec, yVec, p0); \
+ } \
+ acc = asrl(acc, 31); \
+}
+
+
+
+#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count)\
+{ \
+ q31_t const *pSrcX; \
+ const q31_t *pY1 = pY + 1; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ pY-=4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ yVec = vldrwq_gather_shifted_offset_s32(pY1, decrIdxVec); \
+ pY1-=4; \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x4U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ mve_pred16_t p0 = vctp32q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ yVec = vldrwq_gather_shifted_offset_s32(pY1, decrIdxVec); \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp32q(k+1); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+}
+
+
+
+
+#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count) \
+{ \
+ q31_t const *pSrcX; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ k = (count-1) >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ pY-=4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = (count - 1) % 0x4U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp32q(k+1); \
+ xVec = vld1q(pSrcX); \
+ pSrcX += 4; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+}
+
+
+
+#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count) \
+{ \
+ q31_t const *pSrcX; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ pY-=4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+}
+
+
+
+#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count) \
+{ \
+ q31_t const *pSrcX; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ pY-=4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vldrwq_s32(&pSrcX[2]); \
+ acc2 = vmlaldavaq(acc2, xVec, yVec); \
+ xVec = vldrwq_s32(&pSrcX[3]); \
+ acc3 = vmlaldavaq(acc3, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vldrwq_s32(&pSrcX[2]); \
+ acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \
+ xVec = vldrwq_s32(&pSrcX[3]); \
+ acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+ acc2 = asrl(acc2, 31); \
+ acc3 = asrl(acc3, 31); \
+}
+
+#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count)\
+{ \
+ q31_t const *pSrcX, *pSrcY; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ pSrcY = (q31_t const *) pY; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_s32(&pSrcY[-1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x4U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ mve_pred16_t p0 = vctp32q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vldrwq_s32(&pSrcY[-1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec,p0); \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec,p0); \
+ \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+}
+
+#define MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count)\
+{ \
+ q31_t const *pSrcX, *pSrcY; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ pSrcY = (q31_t const *) pY; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ acc = vmlaldavaq(acc, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ acc = vmlaldavaq_p(acc, xVec, yVec, p0); \
+ } \
+ acc = asrl(acc, 31); \
+}
+
+#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count)\
+{ \
+ q31_t const *pSrcX, *pSrcY; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ pSrcY = (q31_t const *) pY; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vldrwq_s32(&pSrcX[2]); \
+ acc2 = vmlaldavaq(acc2, xVec, yVec); \
+ xVec = vldrwq_s32(&pSrcX[3]); \
+ acc3 = vmlaldavaq(acc3, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vldrwq_s32(&pSrcX[2]); \
+ acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \
+ xVec = vldrwq_s32(&pSrcX[3]); \
+ acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+ acc2 = asrl(acc2, 31); \
+ acc3 = asrl(acc3, 31); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count)\
+{ \
+ q31_t const *pSrcX, *pSrcY; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ pSrcY = (q31_t const *) pY; \
+ k = count >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x4U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count)\
+{ \
+ q31_t const *pSrcX, *pSrcY; \
+ q31x4_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q31_t const *) pX; \
+ pSrcY = (q31_t const *) pY; \
+ k = (count-1) >> 2; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ k = (count-1) % 0x4U; \
+ mve_pred16_t p0 = vctp32q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 4; \
+ xVec = vldrwq_s32(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp32q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 4; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ \
+ acc0 = asrl(acc0, 31); \
+ acc1 = asrl(acc1, 31); \
+}
+
+#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count)\
+{ \
+ q15_t const *pSrcX, *pSrcY; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ pSrcY = (q15_t const *) pY; \
+ k = count >> 3; \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vldrhq_s16(&pSrcY[-1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x8U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ mve_pred16_t p0 = vctp16q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vldrhq_s16(&pSrcY[-1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec,p0); \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec,p0); \
+ \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+}
+
+#define MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count)\
+{ \
+ q15_t const *pSrcX, *pSrcY; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ pSrcY = (q15_t const *) pY; \
+ k = count >> 3; \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ acc = vmlaldavaq(acc, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ acc = vmlaldavaq_p(acc, xVec, yVec, p0); \
+ } \
+ acc = asrl(acc, 15); \
+ acc = __SSAT(acc, 16); \
+}
+
+#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count)\
+{ \
+ q15_t const *pSrcX, *pSrcY; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ pSrcY = (q15_t const *) pY; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vldrhq_s16(&pSrcX[2]); \
+ acc2 = vmlaldavaq(acc2, xVec, yVec); \
+ xVec = vldrhq_s16(&pSrcX[3]); \
+ acc3 = vmlaldavaq(acc3, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vldrhq_s16(&pSrcX[2]); \
+ acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \
+ xVec = vldrhq_s16(&pSrcX[3]); \
+ acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc2 = asrl(acc2, 15); \
+ acc3 = asrl(acc3, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+ acc2 = __SSAT(acc2, 16); \
+ acc3 = __SSAT(acc3, 16); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count)\
+{ \
+ q15_t const *pSrcX, *pSrcY; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ pSrcY = (q15_t const *) pY; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count)\
+{ \
+ q15_t const *pSrcX, *pSrcY; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ pSrcY = (q15_t const *) pY; \
+ k = (count-1) >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ k = (count-1) % 0x8U; \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp16q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count)\
+{ \
+ q15_t const *pSrcX; \
+ const q15_t *pY1 = pY + 1; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ pY-=8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ yVec = vldrhq_gather_shifted_offset_s16(pY1, decrIdxVec); \
+ pY1-=8; \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x8U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ mve_pred16_t p0 = vctp16q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ yVec = vldrhq_gather_shifted_offset_s16(pY1, decrIdxVec); \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp16q(k+1); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+}
+
+#define MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count) \
+{ \
+ q15_t const *pSrcX; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ pY-=8; \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc = vmlaldavaq(acc, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ acc = vmlaldavaq_p(acc, xVec, yVec, p0); \
+ } \
+ acc = asrl(acc, 15); \
+ acc = __SSAT(acc, 16); \
+}
+
+#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count) \
+{ \
+ q15_t const *pSrcX; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ pY-=8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vldrhq_s16(&pSrcX[2]); \
+ acc2 = vmlaldavaq(acc2, xVec, yVec); \
+ xVec = vldrhq_s16(&pSrcX[3]); \
+ acc3 = vmlaldavaq(acc3, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vldrhq_s16(&pSrcX[2]); \
+ acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \
+ xVec = vldrhq_s16(&pSrcX[3]); \
+ acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc2 = asrl(acc2, 15); \
+ acc3 = asrl(acc3, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+ acc2 = __SSAT(acc2, 16); \
+ acc3 = __SSAT(acc3, 16); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count) \
+{ \
+ q15_t const *pSrcX; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ pY-=8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count) \
+{ \
+ q15_t const *pSrcX; \
+ q15x8_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q15_t const *) pX; \
+ k = (count-1) >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ pY-=8; \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = (count - 1) % 0x8U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \
+ xVec = vldrhq_s16(&pSrcX[1]); \
+ acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp16q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \
+ \
+ acc0 = asrl(acc0, 15); \
+ acc1 = asrl(acc1, 15); \
+ acc0 = __SSAT(acc0, 16); \
+ acc1 = __SSAT(acc1, 16); \
+}
+
+#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count)\
+{ \
+ q7_t const *pSrcX, *pSrcY; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ pSrcY = (q7_t const *) pY; \
+ k = count >> 4; \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ yVec = vldrbq_s8(&pSrcY[-1]); \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x10U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ mve_pred16_t p0 = vctp8q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ yVec = vldrbq_s8(&pSrcY[-1]); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec,p0); \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ p0 = vctp8q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ acc0 = vmladavaq_p(acc0, xVec, yVec,p0); \
+ \
+ acc0 = (acc0 >> 7); \
+ acc1 = (acc1 >> 7); \
+ acc0 = __SSAT(acc0, 8); \
+ acc1 = __SSAT(acc1, 8); \
+}
+
+#define MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count)\
+{ \
+ q7_t const *pSrcX, *pSrcY; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ pSrcY = (q7_t const *) pY; \
+ k = count >> 4; \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ acc = vmladavaq(acc, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* tail predication expected here */ \
+ k = count % 0x10U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp8q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ acc = vmladavaq_p(acc, xVec, yVec, p0); \
+ } \
+ acc =(acc >> 7); \
+ acc = __SSAT(acc, 8); \
+}
+
+#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count)\
+{ \
+ q7_t const *pSrcX, *pSrcY; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ pSrcY = (q7_t const *) pY; \
+ k = count >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ xVec = vldrbq_s8(&pSrcX[2]); \
+ acc2 = vmladavaq(acc2, xVec, yVec); \
+ xVec = vldrbq_s8(&pSrcX[3]); \
+ acc3 = vmladavaq(acc3, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x10U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp8q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vldrbq_s8(&pSrcX[2]); \
+ acc2 = vmladavaq_p(acc2, xVec, yVec, p0); \
+ xVec = vldrbq_s8(&pSrcX[3]); \
+ acc3 = vmladavaq_p(acc3, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = (acc0 >> 7); \
+ acc1 = (acc1 >> 7); \
+ acc2 = (acc2 >> 7); \
+ acc3 = (acc3 >> 7); \
+ acc0 = __SSAT(acc0, 8); \
+ acc1 = __SSAT(acc1, 8); \
+ acc2 = __SSAT(acc2, 8); \
+ acc3 = __SSAT(acc3, 8); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count)\
+{ \
+ q7_t const *pSrcX, *pSrcY; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ pSrcY = (q7_t const *) pY; \
+ k = count >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x10U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp8q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = (acc0 >> 7); \
+ acc1 = (acc1 >> 7); \
+ acc0 = __SSAT(acc0, 8); \
+ acc1 = __SSAT(acc1, 8); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count)\
+{ \
+ q7_t const *pSrcX, *pSrcY; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ pSrcY = (q7_t const *) pY; \
+ k = (count-1) >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ k = (count-1) % 0x10U; \
+ mve_pred16_t p0 = vctp8q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp8q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \
+ \
+ acc0 = (acc0 >> 7); \
+ acc1 = (acc1 >> 7); \
+ acc0 = __SSAT(acc0, 8); \
+ acc1 = __SSAT(acc1, 8); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count)\
+{ \
+ q7_t const *pSrcX; \
+ const q7_t *pY1 = pY + 1; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ k = count >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ pY-=16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ yVec = vldrbq_gather_offset_s8(pY1, decrIdxVec); \
+ pY1-=16; \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x10U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ mve_pred16_t p0 = vctp8q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \
+ yVec = vldrbq_gather_offset_s8(pY1, decrIdxVec); \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp8q(k+1); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \
+ \
+ acc0 = (acc0 >> 7); \
+ acc1 = (acc1 >> 7); \
+ acc0 = __SSAT(acc0, 8); \
+ acc1 = __SSAT(acc1, 8); \
+}
+
+#define MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count) \
+{ \
+ q7_t const *pSrcX; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ k = count >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ pY-=16; \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc = vmladavaq(acc, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x10U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp8q(k); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ acc = vmladavaq_p(acc, xVec, yVec, p0); \
+ } \
+ acc = __SSAT(acc >> 7, 8); \
+}
+
+#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count) \
+{ \
+ q7_t const *pSrcX; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ k = count >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ pY-=16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ xVec = vldrbq_s8(&pSrcX[2]); \
+ acc2 = vmladavaq(acc2, xVec, yVec); \
+ xVec = vldrbq_s8(&pSrcX[3]); \
+ acc3 = vmladavaq(acc3, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x10U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp8q(k); \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vldrbq_s8(&pSrcX[2]); \
+ acc2 = vmladavaq_p(acc2, xVec, yVec, p0); \
+ xVec = vldrbq_s8(&pSrcX[3]); \
+ acc3 = vmladavaq_p(acc3, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ acc0 = __SSAT(acc0 >> 7, 8); \
+ acc1 = __SSAT(acc1 >> 7, 8); \
+ acc2 = __SSAT(acc2 >> 7, 8); \
+ acc3 = __SSAT(acc3 >> 7, 8); \
+}
+
+#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count) \
+{ \
+ q7_t const *pSrcX; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ k = count >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ pY-=16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x10U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp8q(k); \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \
+ } \
+ acc0 = __SSAT(acc0 >> 7, 8); \
+ acc1 = __SSAT(acc1 >> 7, 8); \
+}
+
+
+#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count) \
+{ \
+ q7_t const *pSrcX; \
+ q7x16_t xVec, yVec; \
+ uint32_t k; \
+ \
+ pSrcX = (q7_t const *) pX; \
+ k = (count-1) >> 4; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ pY-=16; \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq(acc1, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq(acc0, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = (count - 1) % 0x10U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ mve_pred16_t p0 = vctp8q(k); \
+ yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \
+ xVec = vldrbq_s8(&pSrcX[1]); \
+ acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp8q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 16; \
+ acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \
+ \
+ acc0 = (acc0 >> 7); \
+ acc1 = (acc1 >> 7); \
+ acc0 = __SSAT(acc0, 8); \
+ acc1 = __SSAT(acc1, 8); \
+}
+
+#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
+
+#ifdef __cplusplus
+}
+#endif
+
+
+#endif /* _ARM_VEC_FILTERING_H_ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c
new file mode 100644
index 00000000..7ade7478
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c
@@ -0,0 +1,87 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: BasicMathFunctions.c
+ * Description: Combination of all basic math function source files.
+ *
+ * $Date: 16. March 2020
+ * $Revision: V1.1.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_abs_f32.c"
+#include "arm_abs_f64.c"
+#include "arm_abs_q15.c"
+#include "arm_abs_q31.c"
+#include "arm_abs_q7.c"
+#include "arm_add_f32.c"
+#include "arm_add_f64.c"
+#include "arm_add_q15.c"
+#include "arm_add_q31.c"
+#include "arm_add_q7.c"
+#include "arm_and_u16.c"
+#include "arm_and_u32.c"
+#include "arm_and_u8.c"
+#include "arm_dot_prod_f32.c"
+#include "arm_dot_prod_f64.c"
+#include "arm_dot_prod_q15.c"
+#include "arm_dot_prod_q31.c"
+#include "arm_dot_prod_q7.c"
+#include "arm_mult_f32.c"
+#include "arm_mult_f64.c"
+#include "arm_mult_q15.c"
+#include "arm_mult_q31.c"
+#include "arm_mult_q7.c"
+#include "arm_negate_f32.c"
+#include "arm_negate_f64.c"
+#include "arm_negate_q15.c"
+#include "arm_negate_q31.c"
+#include "arm_negate_q7.c"
+#include "arm_not_u16.c"
+#include "arm_not_u32.c"
+#include "arm_not_u8.c"
+#include "arm_offset_f32.c"
+#include "arm_offset_f64.c"
+#include "arm_offset_q15.c"
+#include "arm_offset_q31.c"
+#include "arm_offset_q7.c"
+#include "arm_or_u16.c"
+#include "arm_or_u32.c"
+#include "arm_or_u8.c"
+#include "arm_scale_f32.c"
+#include "arm_scale_f64.c"
+#include "arm_scale_q15.c"
+#include "arm_scale_q31.c"
+#include "arm_scale_q7.c"
+#include "arm_shift_q15.c"
+#include "arm_shift_q31.c"
+#include "arm_shift_q7.c"
+#include "arm_sub_f32.c"
+#include "arm_sub_f64.c"
+#include "arm_sub_q15.c"
+#include "arm_sub_q31.c"
+#include "arm_sub_q7.c"
+#include "arm_xor_u16.c"
+#include "arm_xor_u32.c"
+#include "arm_xor_u8.c"
+#include "arm_clip_f32.c"
+#include "arm_clip_q31.c"
+#include "arm_clip_q15.c"
+#include "arm_clip_q7.c"
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctionsF16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctionsF16.c
new file mode 100644
index 00000000..f185db48
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctionsF16.c
@@ -0,0 +1,37 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: BasicMathFunctionsF16.c
+ * Description: Combination of all basic math function f16 source files.
+ *
+ * $Date: 20. April 2020
+ * $Revision: V1.1.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_abs_f16.c"
+#include "arm_add_f16.c"
+#include "arm_dot_prod_f16.c"
+#include "arm_mult_f16.c"
+#include "arm_negate_f16.c"
+#include "arm_offset_f16.c"
+#include "arm_scale_f16.c"
+#include "arm_sub_f16.c"
+#include "arm_clip_f16.c"
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt
new file mode 100644
index 00000000..37802a85
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt
@@ -0,0 +1,41 @@
+cmake_minimum_required (VERSION 3.14)
+
+project(CMSISDSPBasicMath)
+
+include(configLib)
+include(configDsp)
+
+file(GLOB SRCF64 "./*_f64.c")
+file(GLOB SRCF32 "./*_f32.c")
+file(GLOB SRCF16 "./*_f16.c")
+file(GLOB SRCQ31 "./*_q31.c")
+file(GLOB SRCQ15 "./*_q15.c")
+file(GLOB SRCQ7 "./*_q7.c")
+
+file(GLOB SRCU32 "./*_u32.c")
+file(GLOB SRCU16 "./*_u16.c")
+file(GLOB SRCU8 "./*_u8.c")
+
+add_library(CMSISDSPBasicMath STATIC ${SRCF64})
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCF32})
+
+if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16))
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCF16})
+endif()
+
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCQ31})
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCQ15})
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCQ7})
+
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCU32})
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCU16})
+target_sources(CMSISDSPBasicMath PRIVATE ${SRCU8})
+
+configLib(CMSISDSPBasicMath ${ROOT})
+configDsp(CMSISDSPBasicMath ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPBasicMath PUBLIC "${DSP}/Include")
+
+
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f16.c
new file mode 100644
index 00000000..0d6568b8
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f16.c
@@ -0,0 +1,198 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_abs_f16.c
+ * Description: Floating-point vector absolute value
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/basic_math_functions_f16.h"
+#include + pDst[n] = abs(pSrc[n]), 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Floating-point vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_abs_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f16x8_t vec1; + f16x8_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vabsq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp16q(blkCnt); + vec1 = vld1q(pSrc); + vstrhq_p(pDst, vabsq(vec1), p0); + } + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_abs_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + f16x8_t vec1; + f16x8_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q_f16(pSrc); + res = vabsq_f16(vec1); + vst1q_f16(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = (_Float16)fabsf((float32_t)*pSrc++); + + *pDst++ = (_Float16)fabsf((float32_t)*pSrc++); + + *pDst++ = (_Float16)fabsf((float32_t)*pSrc++); + + *pDst++ = (_Float16)fabsf((float32_t)*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = (_Float16)fabsf((float32_t)*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_FLOAT16_SUPPORTED */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicAbs group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c new file mode 100644 index 00000000..1e67f4e3 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_f32.c + * Description: Floating-point vector absolute value + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" +#include
+ pDst[n] = abs(pSrc[n]), 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Floating-point vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f32x4_t vec1; + f32x4_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vabsq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrc); + vstrwq_p(pDst, vabsq(vec1), p0); + } + +} + +#else +void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vabsq_f32(vec1); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = fabsf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicAbs group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f64.c new file mode 100644 index 00000000..04a79f7a --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f64.c @@ -0,0 +1,74 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_f64.c + * Description: Floating-point vector absolute value + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" +#include
+ pDst[n] = pSrcA[n] + pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Floating-point vector addition. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_add_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f16x8_t vec1; + f16x8_t vec2; + f16x8_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vaddq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp16q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrhq_p(pDst, vaddq(vec1,vec2), p0); + } + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_add_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrcA++) + (_Float16)(*pSrcB++); + *pDst++ = (_Float16)(*pSrcA++) + (_Float16)(*pSrcB++); + *pDst++ = (_Float16)(*pSrcA++) + (_Float16)(*pSrcB++); + *pDst++ = (_Float16)(*pSrcA++) + (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrcA++) + (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_FLOAT16_SUPPORTED) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicAdd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c new file mode 100644 index 00000000..9741e4a6 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c @@ -0,0 +1,199 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_f32.c + * Description: Floating-point vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicAdd Vector Addition + + Element-by-element addition of two vectors. + +
+ pDst[n] = pSrcA[n] + pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Floating-point vector addition. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vaddq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vaddq(vec1,vec2), p0); + } + +} + +#else +void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vaddq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicAdd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f64.c new file mode 100644 index 00000000..2d772339 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f64.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_f64.c + * Description: Floating-point vector addition + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Floating-point vector addition. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_add_f64( + const float64_t * pSrcA, + const float64_t * pSrcB, + float64_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of BasicAdd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c new file mode 100644 index 00000000..0bf9d06a --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c @@ -0,0 +1,176 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q15.c + * Description: Q15 vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q15 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqaddq(vecA, vecB), p0); + } +} + +#else +void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t inB1, inB2; +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia (&pSrcA); + inA2 = read_q15x2_ia (&pSrcA); + /* read 2 times 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia (&pSrcB); + inB2 = read_q15x2_ia (&pSrcB); + + /* Add and store 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, __QADD16(inA1, inB1)); + write_q15x2_ia (&pDst, __QADD16(inA2, inB2)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c new file mode 100644 index 00000000..a6783e7f --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q31.c + * Description: Q31 vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q31 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecA; + q31x4_t vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqaddq(vecA, vecB), p0); + } +} + +#else +void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c new file mode 100644 index 00000000..f58ff866 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c @@ -0,0 +1,159 @@ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q7.c + * Description: Q7 vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q7 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqaddq(vecA, vecB), p0); + } +} +#else +void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + +#if defined (ARM_MATH_DSP) + /* Add and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QADD8 (read_q7x4_ia (&pSrcA), read_q7x4_ia (&pSrcB))); +#else + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ + *pSrcB++, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u16.c new file mode 100644 index 00000000..7a7427dc --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u16.c + * Description: uint16_t bitwise AND + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup And Vector bitwise AND + + Compute the logical bitwise AND. + + There are separate functions for uint32_t, uint16_t, and uint7_t data types. + */ + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, vandq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, vandq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u32.c new file mode 100644 index 00000000..ddf838c2 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u32.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u32.c + * Description: uint32_t bitwise AND + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, vandq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, vandq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u8.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u8.c new file mode 100644 index 00000000..bd1a1abe --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_and_u8.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u8.c + * Description: uint8_t bitwise AND + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, vandq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, vandq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_f16.c new file mode 100644 index 00000000..f784a238 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_f16.c @@ -0,0 +1,141 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_clip_f16.c + * Description: Floating-point vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions_f16.h" + +/** + @ingroup groupMath + */ + + +/** + @addtogroup BasicClip + @{ + */ + +/** + @brief Elementwise floating-point clipping + @param[in] pSrc points to input values + @param[out] pDst points to output clipped values + @param[in] low lower bound + @param[in] high higher bound + @param[in] numSamples number of samples to clip + @return none + */ + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_clip_f16(const float16_t * pSrc, + float16_t * pDst, + float16_t low, + float16_t high, + uint32_t numSamples) +{ + uint32_t blkCnt; + f16x8_t curVec0, curVec1; + f16x8_t vecLow, vecHigh; + + vecLow = vdupq_n_f16(low); + vecHigh = vdupq_n_f16(high); + + curVec0 = vld1q(pSrc); + pSrc += 8; + /* + * unrolled x 2 to allow + * vldr/vstr/vmin/vmax + * stall free interleaving + */ + blkCnt = numSamples >> 4; + while (blkCnt--) + { + curVec0 = vmaxnmq(curVec0, vecLow); + curVec1 = vld1q(pSrc); + pSrc += 8; + curVec0 = vminnmq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 8; + curVec1 = vmaxnmq(curVec1, vecLow); + curVec0 = vld1q(pSrc); + pSrc += 8; + curVec1 = vminnmq(curVec1, vecHigh); + vst1q(pDst, curVec1); + pDst += 8; + } + /* + * Tail handling + */ + blkCnt = numSamples - ((numSamples >> 4) << 4); + if (blkCnt >= 8) + { + curVec0 = vmaxnmq(curVec0, vecLow); + curVec0 = vminnmq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 8; + curVec0 = vld1q(pSrc); + pSrc += 8; + } + + if (blkCnt > 0) + { + mve_pred16_t p0 = vctp16q(blkCnt & 7); + curVec0 = vmaxnmq(curVec0, vecLow); + curVec0 = vminnmq(curVec0, vecHigh); + vstrhq_p(pDst, curVec0, p0); + } +} + +#else + +#if defined(ARM_FLOAT16_SUPPORTED) + +void arm_clip_f16(const float16_t * pSrc, + float16_t * pDst, + float16_t low, + float16_t high, + uint32_t numSamples) +{ + for (uint32_t i = 0; i < numSamples; i++) + { + if ((_Float16)pSrc[i] > (_Float16)high) + pDst[i] = high; + else if ((_Float16)pSrc[i] < (_Float16)low) + pDst[i] = low; + else + pDst[i] = pSrc[i]; + } +} +#endif /* defined(ARM_FLOAT16_SUPPORTED */ + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +/** + @} end of BasicClip group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_f32.c new file mode 100644 index 00000000..4cc27994 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_f32.c @@ -0,0 +1,144 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_clip_f32.c + * Description: Floating-point vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicClip Elementwise clipping + + Element-by-element clipping of a value. + + The value is constrained between 2 bounds. + + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicClip + @{ + */ + +/** + @brief Elementwise floating-point clipping + @param[in] pSrc points to input values + @param[out] pDst points to output clipped values + @param[in] low lower bound + @param[in] high higher bound + @param[in] numSamples number of samples to clip + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_clip_f32(const float32_t * pSrc, + float32_t * pDst, + float32_t low, + float32_t high, + uint32_t numSamples) +{ + uint32_t blkCnt; + f32x4_t curVec0, curVec1; + f32x4_t vecLow, vecHigh; + + vecLow = vdupq_n_f32(low); + vecHigh = vdupq_n_f32(high); + + curVec0 = vld1q(pSrc); + pSrc += 4; + /* + * unrolled x 2 to allow + * vldr/vstr/vmin/vmax + * stall free interleaving + */ + blkCnt = numSamples >> 3; + while (blkCnt--) + { + curVec0 = vmaxnmq(curVec0, vecLow); + curVec1 = vld1q(pSrc); + pSrc += 4; + curVec0 = vminnmq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 4; + curVec1 = vmaxnmq(curVec1, vecLow); + curVec0 = vld1q(pSrc); + pSrc += 4; + curVec1 = vminnmq(curVec1, vecHigh); + vst1q(pDst, curVec1); + pDst += 4; + } + /* + * Tail handling + */ + blkCnt = numSamples - ((numSamples >> 3) << 3); + if (blkCnt >= 4) + { + curVec0 = vmaxnmq(curVec0, vecLow); + curVec0 = vminnmq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 4; + curVec0 = vld1q(pSrc); + pSrc += 4; + } + + if (blkCnt > 0) + { + mve_pred16_t p0 = vctp32q(blkCnt & 3); + curVec0 = vmaxnmq(curVec0, vecLow); + curVec0 = vminnmq(curVec0, vecHigh); + vstrwq_p(pDst, curVec0, p0); + } +} + +#else +void arm_clip_f32(const float32_t * pSrc, + float32_t * pDst, + float32_t low, + float32_t high, + uint32_t numSamples) +{ + uint32_t i; + for (i = 0; i < numSamples; i++) + { + if (pSrc[i] > high) + pDst[i] = high; + else if (pSrc[i] < low) + pDst[i] = low; + else + pDst[i] = pSrc[i]; + } +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicClip group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q15.c new file mode 100644 index 00000000..0d67c376 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q15.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_clip_q15.c + * Description: Floating-point vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + + +/** + @addtogroup BasicClip + @{ + */ + +/** + @brief Elementwise fixed-point clipping + @param[in] pSrc points to input values + @param[out] pDst points to output clipped values + @param[in] low lower bound + @param[in] high higher bound + @param[in] numSamples number of samples to clip + @return none + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +void arm_clip_q15(const q15_t * pSrc, + q15_t * pDst, + q15_t low, + q15_t high, + uint32_t numSamples) +{ + uint32_t blkCnt; + q15x8_t curVec0, curVec1; + q15x8_t vecLow, vecHigh; + + vecLow = vdupq_n_s16(low); + vecHigh = vdupq_n_s16(high); + + curVec0 = vld1q(pSrc); + pSrc += 8; + /* + * unrolled x 2 to allow + * vldr/vstr/vmin/vmax + * stall free interleaving + */ + blkCnt = numSamples >> 4; + while (blkCnt--) + { + curVec0 = vmaxq(curVec0, vecLow); + curVec1 = vld1q(pSrc); + pSrc += 8; + curVec0 = vminq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 8; + curVec1 = vmaxq(curVec1, vecLow); + curVec0 = vld1q(pSrc); + pSrc += 8; + curVec1 = vminq(curVec1, vecHigh); + vst1q(pDst, curVec1); + pDst += 8; + } + /* + * Tail handling + */ + blkCnt = numSamples - ((numSamples >> 4) << 4); + if (blkCnt >= 8) + { + curVec0 = vmaxq(curVec0, vecLow); + curVec0 = vminq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 8; + curVec0 = vld1q(pSrc); + pSrc += 8; + } + + if (blkCnt > 0) + { + mve_pred16_t p0 = vctp16q(blkCnt & 7); + curVec0 = vmaxq(curVec0, vecLow); + curVec0 = vminq(curVec0, vecHigh); + vstrhq_p(pDst, curVec0, p0); + } +} + +#else +void arm_clip_q15(const q15_t * pSrc, + q15_t * pDst, + q15_t low, + q15_t high, + uint32_t numSamples) +{ + uint32_t i; + for (i = 0; i < numSamples; i++) + { + if (pSrc[i] > high) + pDst[i] = high; + else if (pSrc[i] < low) + pDst[i] = low; + else + pDst[i] = pSrc[i]; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicClip group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q31.c new file mode 100644 index 00000000..72b80d38 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q31.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_clip_q31.c + * Description: Floating-point vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + + +/** + @addtogroup BasicClip + @{ + */ + +/** + @brief Elementwise fixed-point clipping + @param[in] pSrc points to input values + @param[out] pDst points to output clipped values + @param[in] low lower bound + @param[in] high higher bound + @param[in] numSamples number of samples to clip + @return none + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +void arm_clip_q31(const q31_t * pSrc, + q31_t * pDst, + q31_t low, + q31_t high, + uint32_t numSamples) +{ + uint32_t blkCnt; + q31x4_t curVec0, curVec1; + q31x4_t vecLow, vecHigh; + + vecLow = vdupq_n_s32(low); + vecHigh = vdupq_n_s32(high); + + curVec0 = vld1q(pSrc); + pSrc += 4; + /* + * unrolled x 2 to allow + * vldr/vstr/vmin/vmax + * stall free interleaving + */ + blkCnt = numSamples >> 3; + while (blkCnt--) + { + curVec0 = vmaxq(curVec0, vecLow); + curVec1 = vld1q(pSrc); + pSrc += 4; + curVec0 = vminq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 4; + curVec1 = vmaxq(curVec1, vecLow); + curVec0 = vld1q(pSrc); + pSrc += 4; + curVec1 = vminq(curVec1, vecHigh); + vst1q(pDst, curVec1); + pDst += 4; + } + /* + * Tail handling + */ + blkCnt = numSamples - ((numSamples >> 3) << 3); + if (blkCnt >= 4) + { + curVec0 = vmaxq(curVec0, vecLow); + curVec0 = vminq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 4; + curVec0 = vld1q(pSrc); + pSrc += 4; + } + + if (blkCnt > 0) + { + mve_pred16_t p0 = vctp32q(blkCnt & 3); + curVec0 = vmaxq(curVec0, vecLow); + curVec0 = vminq(curVec0, vecHigh); + vstrwq_p(pDst, curVec0, p0); + } +} + +#else +void arm_clip_q31(const q31_t * pSrc, + q31_t * pDst, + q31_t low, + q31_t high, + uint32_t numSamples) +{ + uint32_t i; + for (i = 0; i < numSamples; i++) + { + if (pSrc[i] > high) + pDst[i] = high; + else if (pSrc[i] < low) + pDst[i] = low; + else + pDst[i] = pSrc[i]; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicClip group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q7.c new file mode 100644 index 00000000..a41e0c91 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_clip_q7.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_clip_q7.c + * Description: Floating-point vector addition + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + + +/** + @addtogroup BasicClip + @{ + */ + +/** + @brief Elementwise fixed-point clipping + @param[in] pSrc points to input values + @param[out] pDst points to output clipped values + @param[in] low lower bound + @param[in] high higher bound + @param[in] numSamples number of samples to clip + @return none + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +void arm_clip_q7(const q7_t * pSrc, + q7_t * pDst, + q7_t low, + q7_t high, + uint32_t numSamples) +{ + uint32_t blkCnt; + q7x16_t curVec0, curVec1; + q7x16_t vecLow, vecHigh; + + vecLow = vdupq_n_s8(low); + vecHigh = vdupq_n_s8(high); + + curVec0 = vld1q(pSrc); + pSrc += 16; + /* + * unrolled x 2 to allow + * vldr/vstr/vmin/vmax + * stall free interleaving + */ + blkCnt = numSamples >> 5; + while (blkCnt--) + { + curVec0 = vmaxq(curVec0, vecLow); + curVec1 = vld1q(pSrc); + pSrc += 16; + curVec0 = vminq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 16; + curVec1 = vmaxq(curVec1, vecLow); + curVec0 = vld1q(pSrc); + pSrc += 16; + curVec1 = vminq(curVec1, vecHigh); + vst1q(pDst, curVec1); + pDst += 16; + } + /* + * Tail handling + */ + blkCnt = numSamples - ((numSamples >> 5) << 5); + if (blkCnt >= 16) + { + curVec0 = vmaxq(curVec0, vecLow); + curVec0 = vminq(curVec0, vecHigh); + vst1q(pDst, curVec0); + pDst += 16; + curVec0 = vld1q(pSrc); + pSrc += 16; + } + + if (blkCnt > 0) + { + mve_pred16_t p0 = vctp8q(blkCnt & 0xf); + curVec0 = vmaxq(curVec0, vecLow); + curVec0 = vminq(curVec0, vecHigh); + vstrbq_p(pDst, curVec0, p0); + } +} + +#else +void arm_clip_q7(const q7_t * pSrc, + q7_t * pDst, + q7_t low, + q7_t high, + uint32_t numSamples) +{ + uint32_t i; + for (i = 0; i < numSamples; i++) + { + if (pSrc[i] > high) + pDst[i] = high; + else if (pSrc[i] < low) + pDst[i] = low; + else + pDst[i] = pSrc[i]; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicClip group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f16.c new file mode 100644 index 00000000..55c88dfc --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f16.c @@ -0,0 +1,184 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_f16.c + * Description: Floating-point dot product + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions_f16.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicDotProd Vector Dot Product + + Computes the dot product of two vectors. + The vectors are multiplied element-by-element and then summed. + +
+ sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1] ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of floating-point vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + */ + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + + +void arm_dot_prod_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + uint32_t blockSize, + float16_t * result) +{ + f16x8_t vecA, vecB; + f16x8_t vecSum; + uint32_t blkCnt; + float16_t sum = 0.0f; + vecSum = vdupq_n_f16(0.0f); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + * and advance vector source and destination pointers + */ + vecA = vld1q(pSrcA); + pSrcA += 8; + + vecB = vld1q(pSrcB); + pSrcB += 8; + + vecSum = vfmaq(vecSum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt --; + } + + + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vecSum = vfmaq_m(vecSum, vecA, vecB, p0); + } + + sum = vecAddAcrossF16Mve(vecSum); + + /* Store result in destination buffer */ + *result = sum; + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_dot_prod_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + uint32_t blockSize, + float16_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + _Float16 sum = 0.0f; /* Temporary return variable */ + + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + sum += (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + sum += (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + sum += (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer */ + *result = sum; +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicDotProd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c new file mode 100644 index 00000000..62b86578 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c @@ -0,0 +1,228 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_f32.c + * Description: Floating-point dot product + * + * $Date: 05 October 2021 + * $Revision: V1.9.1 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicDotProd Vector Dot Product + + Computes the dot product of two vectors. + The vectors are multiplied element-by-element and then summed. + +
+ sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1] ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of floating-point vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + + +void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result) +{ + f32x4_t vecA, vecB; + f32x4_t vecSum; + uint32_t blkCnt; + float32_t sum = 0.0f; + vecSum = vdupq_n_f32(0.0f); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + * and advance vector source and destination pointers + */ + vecA = vld1q(pSrcA); + pSrcA += 4; + + vecB = vld1q(pSrcB); + pSrcB += 4; + + vecSum = vfmaq(vecSum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt --; + } + + + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vecSum = vfmaq_m(vecSum, vecA, vecB, p0); + } + + sum = vecAddAcrossF32Mve(vecSum); + + /* Store result in destination buffer */ + *result = sum; + +} + +#else + +void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary return variable */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t accum = vdupq_n_f32(0); +#if !defined(__aarch64__) + f32x2_t tmp = vdup_n_f32(0); +#endif + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + + while (blkCnt > 0U) + { + /* C = A[0]*B[0] + A[1]*B[1] + A[2]*B[2] + ... + A[blockSize-1]*B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer. */ + + accum = vmlaq_f32(accum, vec1, vec2); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + + /* Decrement the loop counter */ + blkCnt--; + } + +#if defined(__aarch64__) + sum = vpadds_f32(vpadd_f32(vget_low_f32(accum), vget_high_f32(accum))); +#else + tmp = vpadd_f32(vget_low_f32(accum), vget_high_f32(accum)); + sum = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1); + +#endif + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer */ + *result = sum; +} + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicDotProd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f64.c new file mode 100644 index 00000000..a4cd07cc --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f64.c @@ -0,0 +1,78 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_f64.c + * Description: Floating-point dot product + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of floating-point vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + */ + +void arm_dot_prod_f64( + const float64_t * pSrcA, + const float64_t * pSrcB, + uint32_t blockSize, + float64_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + float64_t sum = 0.; /* Temporary return variable */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer */ + *result = sum; +} + +/** + @} end of BasicDotProd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c new file mode 100644 index 00000000..cb42609b --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c @@ -0,0 +1,172 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q15.c + * Description: Q15 dot product + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q15 vectors. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] blockSize number of samples in each vector + @param[out] result output result returned here + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these + results are added to a 64-bit accumulator in 34.30 format. + Nonsaturating additions are used and given that there are 33 guard bits in the accumulator + there is no risk of overflow. + The return result is in 34.30 format. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + q63_t sum = 0LL; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmlaldavaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmlaldavaq_p(sum, vecA, vecB, p0); + } + + *result = sum; +} + +#else +void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + +#if defined (ARM_MATH_DSP) + /* Calculate dot product and store result in a temporary buffer. */ + sum = __SMLALD(read_q15x2_ia (&pSrcA), read_q15x2_ia (&pSrcB), sum); + sum = __SMLALD(read_q15x2_ia (&pSrcA), read_q15x2_ia (&pSrcB), sum); +#else + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ +//#if defined (ARM_MATH_DSP) +// sum = __SMLALD(*pSrcA++, *pSrcB++, sum); +//#else + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); +//#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 34.30 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c new file mode 100644 index 00000000..b85da379 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c @@ -0,0 +1,174 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q31.c + * Description: Q31 dot product + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q31 vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these + are truncated to 2.48 format by discarding the lower 14 bits. + The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. + There are 15 guard bits in the accumulator and there is no risk of overflow as long as + the length of the vectors is less than 2^16 elements. + The return result is in 16.48 format. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecA; + q31x4_t vecB; + q63_t sum = 0LL; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vrmlaldavhaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vrmlaldavhaq_p(sum, vecA, vecB, p0); + } + + /* + * vrmlaldavhaq provides extra intermediate accumulator headroom. + * limiting the need of intermediate scaling + * Scalar variant uses 2.48 accu format by right shifting accumulators by 14. + * 16.48 output conversion is performed outside the loop by scaling accu. by 6 + */ + *result = asrl(sum, (14 - 8)); +} + +#else +void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 16.48 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c new file mode 100644 index 00000000..2de4e278 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q7.c + * Description: Q7 dot product + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q7 vectors. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] blockSize number of samples in each vector + @param[out] result output result returned here + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these + results are added to an accumulator in 18.14 format. + Nonsaturating additions are used and there is no danger of wrap around as long as + the vectors are less than 2^18 elements long. + The return result is in 18.14 format. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + q31_t sum = 0; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmladavaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmladavaq_p(sum, vecA, vecB, p0); + } + + *result = sum; +} +#else +void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t input1, input2; /* Temporary variables */ + q31_t inA1, inA2, inB1, inB2; /* Temporary variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + +#if defined (ARM_MATH_DSP) + /* read 4 samples at a time from sourceA */ + input1 = read_q7x4_ia (&pSrcA); + /* read 4 samples at a time from sourceB */ + input2 = read_q7x4_ia (&pSrcB); + + /* extract two q7_t samples to q15_t samples */ + inA1 = __SXTB16(__ROR(input1, 8)); + /* extract reminaing two samples */ + inA2 = __SXTB16(input1); + /* extract two q7_t samples to q15_t samples */ + inB1 = __SXTB16(__ROR(input2, 8)); + /* extract reminaing two samples */ + inB2 = __SXTB16(input2); + + /* multiply and accumulate two samples at a time */ + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); +#else + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ +//#if defined (ARM_MATH_DSP) +// sum = __SMLAD(*pSrcA++, *pSrcB++, sum); +//#else + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); +//#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 18.14 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f16.c new file mode 100644 index 00000000..c1115ac7 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f16.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_f16.c + * Description: Floating-point vector multiplication + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions_f16.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicMult Vector Multiplication + + Element-by-element multiplication of two vectors. + +
+ pDst[n] = pSrcA[n] * pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Floating-point vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mult_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f16x8_t vec1; + f16x8_t vec2; + f16x8_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vmulq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp16q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrhq_p(pDst, vmulq(vec1,vec2), p0); + } + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_mult_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + *pDst++ = (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + *pDst++ = (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + *pDst++ = (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrcA++) * (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicMult group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c new file mode 100644 index 00000000..4df04e96 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c @@ -0,0 +1,200 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_f32.c + * Description: Floating-point vector multiplication + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicMult Vector Multiplication + + Element-by-element multiplication of two vectors. + +
+ pDst[n] = pSrcA[n] * pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Floating-point vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vmulq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vmulq(vec1,vec2), p0); + } + +} + +#else +void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply the inputs and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vmulq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicMult group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f64.c new file mode 100644 index 00000000..1a5afd9a --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f64.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_f64.c + * Description: Floating-point vector multiplication + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Floating-point vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +void arm_mult_f64( + const float64_t * pSrcA, + const float64_t * pSrcB, + float64_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of BasicMult group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c new file mode 100644 index 00000000..17951c7a --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q15.c + * Description: Q15 vector multiplication + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q15 vector multiplication + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2, inB1, inB2; /* Temporary input variables */ + q15_t out1, out2, out3, out4; /* Temporary output variables */ + q31_t mul1, mul2, mul3, mul4; /* Temporary variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + +#if defined (ARM_MATH_DSP) + /* read 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia (&pSrcA); + /* read 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia (&pSrcB); + /* read 2 samples at a time from sourceA */ + inA2 = read_q15x2_ia (&pSrcA); + /* read 2 samples at a time from sourceB */ + inB2 = read_q15x2_ia (&pSrcB); + + /* multiply mul = sourceA * sourceB */ + mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); + mul2 = (q31_t) ((q15_t) (inA1 ) * (q15_t) (inB1 )); + mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 ) * (q15_t) (inB2 )); + + /* saturate result to 16 bit */ + out1 = (q15_t) __SSAT(mul1 >> 15, 16); + out2 = (q15_t) __SSAT(mul2 >> 15, 16); + out3 = (q15_t) __SSAT(mul3 >> 15, 16); + out4 = (q15_t) __SSAT(mul4 >> 15, 16); + + /* store result to destination */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(out2, out1, 16)); + write_q15x2_ia (&pDst, __PKHBT(out4, out3, 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(out1, out2, 16)); + write_q15x2_ia (&pDst, __PKHBT(out3, out4, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c new file mode 100644 index 00000000..63ad73c4 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q31.c + * Description: Q31 vector multiplication + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q31 vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t out; /* Temporary output variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c new file mode 100644 index 00000000..7be80db5 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q7.c + * Description: Q7 vector multiplication + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q7 vector multiplication + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q7_t out1, out2, out3, out4; /* Temporary output variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + +#if defined (ARM_MATH_DSP) + /* Multiply inputs and store results in temporary variables */ + out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Pack and store result in destination buffer (in single write) */ + write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4)); +#else + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f16.c new file mode 100644 index 00000000..187e511b --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f16.c @@ -0,0 +1,166 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_f16.c + * Description: Negates floating-point vectors + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions_f16.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicNegate Vector Negate + + Negates the elements of a vector. + +
+ pDst[n] = -pSrc[n], 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a floating-point vector. + @param[in] pSrc points to input vector. + @param[out] pDst points to output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_negate_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f16x8_t vec1; + f16x8_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vnegq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp16q(blkCnt); + vec1 = vld1q((float16_t const *) pSrc); + vstrhq_p(pDst, vnegq(vec1), p0); + } + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_negate_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -(_Float16)*pSrc++; + + *pDst++ = -(_Float16)*pSrc++; + + *pDst++ = -(_Float16)*pSrc++; + + *pDst++ = -(_Float16)*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -(_Float16)*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicNegate group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c new file mode 100644 index 00000000..4f243cda --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_f32.c + * Description: Negates floating-point vectors + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicNegate Vector Negate + + Negates the elements of a vector. + +
+ pDst[n] = -pSrc[n], 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a floating-point vector. + @param[in] pSrc points to input vector. + @param[out] pDst points to output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f32x4_t vec1; + f32x4_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vnegq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vnegq(vec1), p0); + } + +} + +#else +void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vnegq_f32(vec1); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicNegate group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f64.c new file mode 100644 index 00000000..c8a73417 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f64.c @@ -0,0 +1,73 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_f64.c + * Description: Negates floating-point vectors + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a floating-point vector. + @param[in] pSrc points to input vector. + @param[out] pDst points to output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +void arm_negate_f64( + const float64_t * pSrc, + float64_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of BasicNegate group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c new file mode 100644 index 00000000..43d5b0d0 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q15.c + * Description: Negates Q15 vectors + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q15 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Conditions for optimum performance + Input and output buffers should be aligned by 32-bit + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q15_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t in1; /* Temporary input variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + +#if defined (ARM_MATH_DSP) + /* Negate and store result in destination buffer (2 samples at a time). */ + in1 = read_q15x2_ia (&pSrc); + write_q15x2_ia (&pDst, __QSUB16(0, in1)); + + in1 = read_q15x2_ia (&pSrc); + write_q15x2_ia (&pDst, __QSUB16(0, in1)); +#else + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c new file mode 100644 index 00000000..3ee77ed7 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q31.c + * Description: Negates Q31 vectors + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q31 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c new file mode 100644 index 00000000..9fd3122e --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q7.c + * Description: Negates Q7 vectors + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q7 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q7 value -1 (0x80) is saturated to the maximum allowable positive value 0x7F. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q7_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t in1; /* Temporary input variable */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + +#if defined (ARM_MATH_DSP) + /* Negate and store result in destination buffer (4 samples at a time). */ + in1 = read_q7x4_ia (&pSrc); + write_q7x4_ia (&pDst, __QSUB8(0, in1)); +#else + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; + +#if defined (ARM_MATH_DSP) + *pDst++ = (q7_t) __QSUB8(0, in); +#else + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u16.c new file mode 100644 index 00000000..e553d287 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u16.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u16.c + * Description: uint16_t bitwise NOT + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Not Vector bitwise NOT + + Compute the logical bitwise NOT. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u16( + const uint16_t * pSrc, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u16(vecSrc) ); + + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vmvnq_u16(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t inV; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + inV = vld1q_u16(pSrc); + + vst1q_u16(pDst, vmvnq_u16(inV) ); + + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u32.c new file mode 100644 index 00000000..f46284c8 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u32.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u32.c + * Description: uint32_t bitwise NOT + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u32( + const uint32_t * pSrc, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u32(vecSrc) ); + + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vmvnq_u32(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t inV; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + inV = vld1q_u32(pSrc); + + vst1q_u32(pDst, vmvnq_u32(inV) ); + + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u8.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u8.c new file mode 100644 index 00000000..e0682838 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_not_u8.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u8.c + * Description: uint8_t bitwise NOT + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u8( + const uint8_t * pSrc, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u8(vecSrc) ); + + pSrc += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vmvnq_u8(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t inV; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + inV = vld1q_u8(pSrc); + + vst1q_u8(pDst, vmvnq_u8(inV) ); + + pSrc += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f16.c new file mode 100644 index 00000000..9aeb1e75 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f16.c @@ -0,0 +1,170 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_f16.c + * Description: Floating-point vector offset + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions_f16.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicOffset Vector Offset + + Adds a constant offset to each element of a vector. + +
+ pDst[n] = pSrc[n] + offset, 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_offset_f16( + const float16_t * pSrc, + float16_t offset, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f16x8_t vec1; + f16x8_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vaddq(vec1,offset); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vec1 = vld1q((float16_t const *) pSrc); + vstrhq_p(pDst, vaddq(vec1, offset), p0); + } + + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_offset_f16( + const float16_t * pSrc, + float16_t offset, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrc++) + (_Float16)offset; + + *pDst++ = (_Float16)(*pSrc++) + (_Float16)offset; + + *pDst++ = (_Float16)(*pSrc++) + (_Float16)offset; + + *pDst++ = (_Float16)(*pSrc++) + (_Float16)offset; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrc++) + (_Float16)offset; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicOffset group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c new file mode 100644 index 00000000..a68df050 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_f32.c + * Description: Floating-point vector offset + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicOffset Vector Offset + + Adds a constant offset to each element of a vector. + +
+ pDst[n] = pSrc[n] + offset, 0 <= n < blockSize. ++ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vaddq(vec1,offset); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vaddq(vec1, offset), p0); + } + + +} + +#else +void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vaddq_f32(vec1,vdupq_n_f32(offset)); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicOffset group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f64.c new file mode 100644 index 00000000..0b39da43 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f64.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_f64.c + * Description: Floating-point vector offset + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_offset_f64( + const float64_t * pSrc, + float64_t offset, + float64_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of BasicOffset group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c new file mode 100644 index 00000000..211776d7 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q15.c + * Description: Q15 vector offset + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + + +#else +void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t offset_packed; /* Offset packed to 32 bit */ + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PKHBT(offset, offset, 16); +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + +#if defined (ARM_MATH_DSP) + /* Add offset and store result in destination buffer (2 samples at a time). */ + write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia (&pSrc), offset_packed)); + write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia (&pSrc), offset_packed)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QADD16(*pSrc++, offset); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c new file mode 100644 index 00000000..2f702b0f --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q31.c + * Description: Q31 vector offset + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + +#else +void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = __QADD(*pSrc++, offset); + + *pDst++ = __QADD(*pSrc++, offset); + + *pDst++ = __QADD(*pSrc++, offset); + + *pDst++ = __QADD(*pSrc++, offset); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c new file mode 100644 index 00000000..b53229d8 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c @@ -0,0 +1,162 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q7.c + * Description: Q7 vector offset + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + +#else +void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t offset_packed; /* Offset packed to 32 bit */ + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PACKq7(offset, offset, offset, offset); +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + +#if defined (ARM_MATH_DSP) + /* Add offset and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QADD8(read_q7x4_ia (&pSrc), offset_packed)); +#else + *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u16.c new file mode 100644 index 00000000..92d28036 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u16.c + * Description: uint16_t bitwise inclusive OR + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Or Vector bitwise inclusive OR + + Compute the logical bitwise OR. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, vorrq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, vorrq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Or group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u32.c new file mode 100644 index 00000000..14cc83bb --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u32.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u32.c + * Description: uint32_t bitwise inclusive OR + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, vorrq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, vorrq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} +/** + @} end of Or group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u8.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u8.c new file mode 100644 index 00000000..beee07b6 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_or_u8.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u8.c + * Description: uint8_t bitwise inclusive OR + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, vorrq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, vorrq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} +/** + @} end of Or group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f16.c new file mode 100644 index 00000000..b4b1c334 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f16.c @@ -0,0 +1,183 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_f16.c + * Description: Multiplies a floating-point vector by a scalar + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions_f16.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicScale Vector Scale + + Multiply a vector by a scalar value. For floating-point data, the algorithm used is: + +
+ pDst[n] = pSrc[n] * scale, 0 <= n < blockSize. ++ + In the fixed-point Q7, Q15, and Q31 functions,
scale is represented by
+ a fractional multiplication scaleFract and an arithmetic shift shift.
+ The shift allows the gain of the scaling operation to exceed 1.0.
+ The algorithm used with fixed-point data is:
+
+ + pDst[n] = (pSrc[n] * scaleFract) << shift, 0 <= n < blockSize. ++ + The overall scale factor applied to the fixed-point data is +
+ scale = scaleFract * 2^shift. ++ + The functions support in-place computation allowing the source and destination + pointers to reference the same memory buffer. + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a floating-point vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scale scale factor to be applied + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_scale_f16( + const float16_t * pSrc, + float16_t scale, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f16x8_t vec1; + f16x8_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vmulq(vec1,scale); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vec1 = vld1q((float16_t const *) pSrc); + vstrhq_p(pDst, vmulq(vec1, scale), p0); + } + + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_scale_f16( + const float16_t *pSrc, + float16_t scale, + float16_t *pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrc++) * (_Float16)scale; + + *pDst++ = (_Float16)(*pSrc++) * (_Float16)scale; + + *pDst++ = (_Float16)(*pSrc++) * (_Float16)scale; + + *pDst++ = (_Float16)(*pSrc++) * (_Float16)scale; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrc++) * (_Float16)scale; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicScale group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c new file mode 100644 index 00000000..59bc813f --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c @@ -0,0 +1,216 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_f32.c + * Description: Multiplies a floating-point vector by a scalar + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicScale Vector Scale + + Multiply a vector by a scalar value. For floating-point data, the algorithm used is: + +
+ pDst[n] = pSrc[n] * scale, 0 <= n < blockSize. ++ + In the fixed-point Q7, Q15, and Q31 functions,
scale is represented by
+ a fractional multiplication scaleFract and an arithmetic shift shift.
+ The shift allows the gain of the scaling operation to exceed 1.0.
+ The algorithm used with fixed-point data is:
+
+ + pDst[n] = (pSrc[n] * scaleFract) << shift, 0 <= n < blockSize. ++ + The overall scale factor applied to the fixed-point data is +
+ scale = scaleFract * 2^shift. ++ + The functions support in-place computation allowing the source and destination + pointers to reference the same memory buffer. + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a floating-point vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scale scale factor to be applied + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_scale_f32( + const float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vmulq(vec1,scale); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vmulq(vec1, scale), p0); + } + + +} + +#else +void arm_scale_f32( + const float32_t *pSrc, + float32_t scale, + float32_t *pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ +#if defined(ARM_MATH_NEON_EXPERIMENTAL) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale the input and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vmulq_f32(vec1, vdupq_n_f32(scale)); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + float32_t in1, in2, in3, in4; + + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + in1 = (*pSrc++) * scale; + + in2 = (*pSrc++) * scale; + + in3 = (*pSrc++) * scale; + + in4 = (*pSrc++) * scale; + + *pDst++ = in1; + *pDst++ = in2; + *pDst++ = in3; + *pDst++ = in4; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (*pSrc++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicScale group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f64.c new file mode 100644 index 00000000..cb2452b8 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f64.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_f64.c + * Description: Multiplies a floating-point vector by a scalar + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a floating-point vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scale scale factor to be applied + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_scale_f64( + const float64_t *pSrc, + float64_t scale, + float64_t *pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (*pSrc++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of BasicScale group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c new file mode 100644 index 00000000..fbad607f --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c @@ -0,0 +1,201 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q15.c + * Description: Multiplies a Q15 vector by a scalar + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a Q15 vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scaleFract fractional portion of the scale value + @param[in] shift number of bits to shift the result by + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The input data
*pSrc and scaleFract are in 1.15 format.
+ These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_scale_q15(
+ const q15_t * pSrc,
+ q15_t scaleFract,
+ int8_t shift,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q15x8_t vecSrc;
+ q15x8_t vecDst;
+
+
+ /* Compute 8 outputs at a time */
+ blkCnt = blockSize >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A * scale
+ * Scale the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s16(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);;
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s16(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vstrhq_p(pDst, vecDst, p0);
+ }
+
+}
+
+
+#else
+void arm_scale_q15(
+ const q15_t *pSrc,
+ q15_t scaleFract,
+ int8_t shift,
+ q15_t *pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ int8_t kShift = 15 - shift; /* Shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+#if defined (ARM_MATH_DSP)
+ q31_t inA1, inA2;
+ q31_t out1, out2, out3, out4; /* Temporary output variables */
+ q15_t in1, in2, in3, in4; /* Temporary input variables */
+#endif
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 times 2 samples at a time from source */
+ inA1 = read_q15x2_ia (&pSrc);
+ inA2 = read_q15x2_ia (&pSrc);
+
+ /* Scale inputs and store result in temporary variables
+ * in single cycle by packing the outputs */
+ out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+ out2 = (q31_t) ((q15_t) (inA1 ) * scaleFract);
+ out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+ out4 = (q31_t) ((q15_t) (inA2 ) * scaleFract);
+
+ /* apply shifting */
+ out1 = out1 >> kShift;
+ out2 = out2 >> kShift;
+ out3 = out3 >> kShift;
+ out4 = out4 >> kShift;
+
+ /* saturate the output */
+ in1 = (q15_t) (__SSAT(out1, 16));
+ in2 = (q15_t) (__SSAT(out2, 16));
+ in3 = (q15_t) (__SSAT(out3, 16));
+ in4 = (q15_t) (__SSAT(out4, 16));
+
+ /* store result to destination */
+ write_q15x2_ia (&pDst, __PKHBT(in2, in1, 16));
+ write_q15x2_ia (&pDst, __PKHBT(in4, in3, 16));
+#else
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicScale group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c
new file mode 100644
index 00000000..4e28441b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c
@@ -0,0 +1,244 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_scale_q31.c
+ * Description: Multiplies a Q31 vector by a scalar
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/basic_math_functions.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicScale
+ @{
+ */
+
+/**
+ @brief Multiplies a Q31 vector by a scalar.
+ @param[in] pSrc points to the input vector
+ @param[in] scaleFract fractional portion of the scale value
+ @param[in] shift number of bits to shift the result by
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The input data *pSrc and scaleFract are in 1.31 format.
+ These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_scale_q31(
+ const q31_t * pSrc,
+ q31_t scaleFract,
+ int8_t shift,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q31x4_t vecSrc;
+ q31x4_t vecDst;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A * scale
+ * Scale the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s32(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 4;
+ pDst += 4;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s32(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vstrwq_p(pDst, vecDst, p0);
+ }
+}
+
+#else
+void arm_scale_q31(
+ const q31_t *pSrc,
+ q31_t scaleFract,
+ int8_t shift,
+ q31_t *pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in, out; /* Temporary variables */
+ int8_t kShift = shift + 1; /* Shift to apply after scaling */
+ int8_t sign = (kShift & 0x80);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++; /* read input from source */
+ in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */
+ out = in << kShift; /* apply shifting */
+ if (in != (out >> kShift)) /* saturate the result */
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out; /* Store result destination */
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++; /* read four inputs from source */
+ in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */
+ out = in >> -kShift; /* apply shifting */
+ *pDst++ = out; /* Store result destination */
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ in = *pSrc++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in >> -kShift;
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicScale group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c
new file mode 100644
index 00000000..5bb4580f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c
@@ -0,0 +1,186 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_scale_q7.c
+ * Description: Multiplies a Q7 vector by a scalar
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/basic_math_functions.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicScale
+ @{
+ */
+
+/**
+ @brief Multiplies a Q7 vector by a scalar.
+ @param[in] pSrc points to the input vector
+ @param[in] scaleFract fractional portion of the scale value
+ @param[in] shift number of bits to shift the result by
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The input data *pSrc and scaleFract are in 1.7 format.
+ These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+void arm_scale_q7(
+ const q7_t * pSrc,
+ q7_t scaleFract,
+ int8_t shift,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q7x16_t vecSrc;
+ q7x16_t vecDst;
+
+
+ /* Compute 16 outputs at a time */
+ blkCnt = blockSize >> 4;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A * scale
+ * Scale the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s8(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 16;
+ pDst += 16;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vmulhq(vecSrc, vdupq_n_s8(scaleFract));
+ vecDst = vqshlq_r(vecDst, shift + 1);
+ vstrbq_p(pDst, vecDst, p0);
+ }
+
+}
+
+#else
+void arm_scale_q7(
+ const q7_t * pSrc,
+ q7_t scaleFract,
+ int8_t shift,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ int8_t kShift = 7 - shift; /* Shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q7_t in1, in2, in3, in4; /* Temporary input variables */
+ q7_t out1, out2, out3, out4; /* Temporary output variables */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+#if defined (ARM_MATH_DSP)
+ /* Reading 4 inputs from memory */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+ in3 = *pSrc++;
+ in4 = *pSrc++;
+
+ /* Scale inputs and store result in the temporary variable. */
+ out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8));
+ out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8));
+ out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8));
+ out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8));
+
+ /* Pack and store result in destination buffer (in single write) */
+ write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4));
+#else
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C = A * scale */
+
+ /* Scale input and store result in destination buffer. */
+ *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicScale group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c
new file mode 100644
index 00000000..2de3b2b0
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c
@@ -0,0 +1,251 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_shift_q15.c
+ * Description: Shifts the elements of a Q15 vector by a specified number of bits
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/basic_math_functions.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicShift
+ @{
+ */
+
+/**
+ @brief Shifts the elements of a Q15 vector a specified number of bits
+ @param[in] pSrc points to the input vector
+ @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_shift_q15(
+ const q15_t * pSrc,
+ int8_t shiftBits,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q15x8_t vecSrc;
+ q15x8_t vecDst;
+
+ /* Compute 8 outputs at a time */
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A (>> or <<) shiftBits
+ * Shift the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vstrhq_p(pDst, vecDst, p0);
+ }
+}
+
+#else
+void arm_shift_q15(
+ const q15_t * pSrc,
+ int8_t shiftBits,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q15_t in1, in2; /* Temporary input variables */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+ /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT(((q31_t) in1 << shiftBits), 16),
+ __SSAT(((q31_t) in2 << shiftBits), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT(((q31_t) in2 << shiftBits), 16),
+ __SSAT(((q31_t) in1 << shiftBits), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT(((q31_t) in1 << shiftBits), 16),
+ __SSAT(((q31_t) in2 << shiftBits), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT(((q31_t) in2 << shiftBits), 16),
+ __SSAT(((q31_t) in1 << shiftBits), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+#else
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+ /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits),
+ (in2 >> -shiftBits), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits),
+ (in1 >> -shiftBits), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* read 2 samples from source */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits),
+ (in2 >> -shiftBits), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits),
+ (in1 >> -shiftBits), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+#else
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicShift group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c
new file mode 100644
index 00000000..5405c241
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c
@@ -0,0 +1,232 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_shift_q31.c
+ * Description: Shifts the elements of a Q31 vector by a specified number of bits
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/basic_math_functions.h"
+
+/**
+ @ingroup groupMath
+ */
+/**
+ @defgroup BasicShift Vector Shift
+
+ Shifts the elements of a fixed-point vector by a specified number of bits.
+ There are separate functions for Q7, Q15, and Q31 data types.
+ The underlying algorithm used is:
+
+ + pDst[n] = pSrc[n] << shift, 0 <= n < blockSize. ++ + If
shift is positive then the elements of the vector are shifted to the left.
+ If shift is negative then the elements of the vector are shifted to the right.
+
+ The functions support in-place computation allowing the source and destination
+ pointers to reference the same memory buffer.
+ */
+
+/**
+ @addtogroup BasicShift
+ @{
+ */
+
+/**
+ @brief Shifts the elements of a Q31 vector a specified number of bits.
+ @param[in] pSrc points to the input vector
+ @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in the vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_shift_q31(
+ const q31_t * pSrc,
+ int8_t shiftBits,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q31x4_t vecSrc;
+ q31x4_t vecDst;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A (>> or <<) shiftBits
+ * Shift the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q((q31_t const *) pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 4;
+ pDst += 4;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecSrc = vld1q((q31_t const *) pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vstrwq_p(pDst, vecDst, p0);
+ }
+}
+
+
+#else
+void arm_shift_q31(
+ const q31_t * pSrc,
+ int8_t shiftBits,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ q31_t in, out; /* Temporary variables */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ in = *pSrc++;
+ out = in << shiftBits;
+ if (in != (out >> shiftBits))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pDst++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store results in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = clip_q63_to_q31((q63_t) *pSrc++ << shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicShift group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c
new file mode 100644
index 00000000..4f83edcc
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c
@@ -0,0 +1,225 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_shift_q7.c
+ * Description: Processing function for the Q7 Shifting
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/basic_math_functions.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @addtogroup BasicShift
+ @{
+ */
+
+/**
+ @brief Shifts the elements of a Q7 vector a specified number of bits
+ @param[in] pSrc points to the input vector
+ @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ @param[out] pDst points to the output vector
+ @param[in] blockSize number of samples in each vector
+ @return none
+
+ @par onditions for optimum performance
+ Input and output buffers should be aligned by 32-bit
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q7 range [0x80 0x7F] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_shift_q7(
+ const q7_t * pSrc,
+ int8_t shiftBits,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* loop counters */
+ q7x16_t vecSrc;
+ q7x16_t vecDst;
+
+ /* Compute 16 outputs at a time */
+ blkCnt = blockSize >> 4;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C = A (>> or <<) shiftBits
+ * Shift the input and then store the result in the destination buffer.
+ */
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vst1q(pDst, vecDst);
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ /*
+ * advance vector source and destination pointers
+ */
+ pSrc += 16;
+ pDst += 16;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vecSrc = vld1q(pSrc);
+ vecDst = vqshlq_r(vecSrc, shiftBits);
+ vstrbq_p(pDst, vecDst, p0);
+ }
+}
+
+#else
+void arm_shift_q7(
+ const q7_t * pSrc,
+ int8_t shiftBits,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ uint32_t blkCnt; /* Loop counter */
+ uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q7_t in1, in2, in3, in4; /* Temporary input variables */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* Read 4 inputs */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+ in3 = *pSrc++;
+ in4 = *pSrc++;
+
+ /* Pack and store result in destination buffer (in single write) */
+ write_q7x4_ia (&pDst, __PACKq7(__SSAT(((q15_t) in1 << shiftBits), 8),
+ __SSAT(((q15_t) in2 << shiftBits), 8),
+ __SSAT(((q15_t) in3 << shiftBits), 8),
+ __SSAT(((q15_t) in4 << shiftBits), 8) ));
+#else
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+#if defined (ARM_MATH_DSP)
+ /* Read 4 inputs */
+ in1 = *pSrc++;
+ in2 = *pSrc++;
+ in3 = *pSrc++;
+ in4 = *pSrc++;
+
+ /* Pack and store result in destination buffer (in single write) */
+ write_q7x4_ia (&pDst, __PACKq7((in1 >> -shiftBits),
+ (in2 >> -shiftBits),
+ (in3 >> -shiftBits),
+ (in4 >> -shiftBits) ));
+#else
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+ *pDst++ = (*pSrc++ >> -shiftBits);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* If the shift value is positive then do right shift else left shift */
+ if (sign == 0U)
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A << shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ while (blkCnt > 0U)
+ {
+ /* C = A >> shiftBits */
+
+ /* Shift input and store result in destination buffer. */
+ *pDst++ = (*pSrc++ >> -shiftBits);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BasicShift group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f16.c
new file mode 100644
index 00000000..836ad43b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f16.c
@@ -0,0 +1,171 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_sub_f16.c
+ * Description: Floating-point vector subtraction
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/basic_math_functions_f16.h"
+
+/**
+ @ingroup groupMath
+ */
+
+/**
+ @defgroup BasicSub Vector Subtraction
+
+ Element-by-element subtraction of two vectors.
+
+ + pDst[n] = pSrcA[n] - pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Floating-point vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_helium_utils.h" + +void arm_sub_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f16x8_t vec1; + f16x8_t vec2; + f16x8_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vsubq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp16q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrhq_p(pDst, vsubq(vec1,vec2), p0); + } + +} + +#else +#if defined(ARM_FLOAT16_SUPPORTED) +void arm_sub_f16( + const float16_t * pSrcA, + const float16_t * pSrcB, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrcA++) - (_Float16)(*pSrcB++); + + *pDst++ = (_Float16)(*pSrcA++) - (_Float16)(*pSrcB++); + + *pDst++ = (_Float16)(*pSrcA++) - (_Float16)(*pSrcB++); + + *pDst++ = (_Float16)(*pSrcA++) - (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (_Float16)(*pSrcA++) - (_Float16)(*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicSub group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c new file mode 100644 index 00000000..2a07c0c6 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c @@ -0,0 +1,202 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_f32.c + * Description: Floating-point vector subtraction + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicSub Vector Subtraction + + Element-by-element subtraction of two vectors. + +
+ pDst[n] = pSrcA[n] - pSrcB[n], 0 <= n < blockSize. ++ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Floating-point vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vsubq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vsubq(vec1,vec2), p0); + } + +} + +#else +void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vsubq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicSub group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f64.c new file mode 100644 index 00000000..e409e2ae --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f64.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_f64.c + * Description: Floating-point vector subtraction + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Floating-point vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_sub_f64( + const float64_t * pSrcA, + const float64_t * pSrcB, + float64_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of BasicSub group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c new file mode 100644 index 00000000..575bd9f4 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q15.c + * Description: Q15 vector subtraction + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q15 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A - B + * Subtract and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqsubq(vecA, vecB), p0); + } +} + + +#else +void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t inB1, inB2; +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia (&pSrcA); + inA2 = read_q15x2_ia (&pSrcA); + /* read 2 times 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia (&pSrcB); + inB2 = read_q15x2_ia (&pSrcB); + + /* Subtract and store 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, __QSUB16(inA1, inB1)); + write_q15x2_ia (&pDst, __QSUB16(inA2, inB2)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c new file mode 100644 index 00000000..ed879a1e --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q31.c + * Description: Q31 vector subtraction + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q31 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecA; + q31x4_t vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqsubq(vecA, vecB), p0); + } +} + +#else +void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c new file mode 100644 index 00000000..1de152e1 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c @@ -0,0 +1,158 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q7.c + * Description: Q7 vector subtraction + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q7 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + */ +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A - B + * Subtract and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqsubq(vecA, vecB), p0); + } +} +#else +void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + +#if defined (ARM_MATH_DSP) + /* Subtract and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QSUB8(read_q7x4_ia (&pSrcA), read_q7x4_ia (&pSrcB))); +#else + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u16.c new file mode 100644 index 00000000..54042ea7 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u16.c + * Description: uint16_t bitwise exclusive OR + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Xor Vector bitwise exclusive OR + + Compute the logical bitwise XOR. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, veorq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, veorq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u32.c new file mode 100644 index 00000000..9d149084 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u32.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u32.c + * Description: uint32_t bitwise exclusive OR + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, veorq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, veorq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u8.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u8.c new file mode 100644 index 00000000..d708cd4e --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_xor_u8.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u8.c + * Description: uint8_t bitwise exclusive OR + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/basic_math_functions.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, veorq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, veorq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/BayesFunctions.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/BayesFunctions.c new file mode 100644 index 00000000..4a553dc1 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/BayesFunctions.c @@ -0,0 +1,29 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BayesFunctions.c + * Description: Combination of all bayes function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_gaussian_naive_bayes_predict_f32.c" diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/BayesFunctionsF16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/BayesFunctionsF16.c new file mode 100644 index 00000000..57ced8ca --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/BayesFunctionsF16.c @@ -0,0 +1,27 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BayesFunctions.c + * Description: Combination of all bayes function f16 source files. + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_gaussian_naive_bayes_predict_f16.c" diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/CMakeLists.txt b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/CMakeLists.txt new file mode 100644 index 00000000..72a202da --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/CMakeLists.txt @@ -0,0 +1,23 @@ +cmake_minimum_required (VERSION 3.14) + +project(CMSISDSPBayes) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPBayes STATIC) + +target_sources(CMSISDSPBayes PRIVATE arm_gaussian_naive_bayes_predict_f32.c) + +configLib(CMSISDSPBayes ${ROOT}) +configDsp(CMSISDSPBayes ${ROOT}) + +### Includes +target_include_directories(CMSISDSPBayes PUBLIC "${DSP}/Include") + +if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16)) +target_sources(CMSISDSPBayes PRIVATE arm_gaussian_naive_bayes_predict_f16.c) +endif() + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f16.c new file mode 100644 index 00000000..b918f704 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f16.c @@ -0,0 +1,208 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_naive_gaussian_bayes_predict_f16 + * Description: Naive Gaussian Bayesian Estimator + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/bayes_functions_f16.h" + +#if defined(ARM_FLOAT16_SUPPORTED) + +#include
for (l = 1; l <= N/4; l++)
+ {
+ for (i = 0; i< logN2; i++)
+ {
+ a[i] = l & (1 << i);
+ }
+ for (j = 0; j < logN2; j++)
+ {
+ if (a[j] != 0)
+ y[l] += (1 << ((logN2 - 1) - j));
+ }
+ y[l] = y[l] >> 1;
+ }
+ @par
+ where N = 4096, logN2 = 12
+ @par
+ N is the maximum FFT Size supported
+*/
+
+/**
+ @brief Table for bit reversal process
+*/
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024)
+const uint16_t armBitRevTable[1024] = {
+ 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x080, 0x480, 0x280,
+ 0x680, 0x180, 0x580, 0x380, 0x780, 0x040, 0x440, 0x240, 0x640, 0x140,
+ 0x540, 0x340, 0x740, 0x0c0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0,
+ 0x7c0, 0x020, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0x0a0,
+ 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x060, 0x460, 0x260,
+ 0x660, 0x160, 0x560, 0x360, 0x760, 0x0e0, 0x4e0, 0x2e0, 0x6e0, 0x1e0,
+ 0x5e0, 0x3e0, 0x7e0, 0x010, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310,
+ 0x710, 0x090, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x050,
+ 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0x0d0, 0x4d0, 0x2d0,
+ 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x030, 0x430, 0x230, 0x630, 0x130,
+ 0x530, 0x330, 0x730, 0x0b0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0,
+ 0x7b0, 0x070, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0x0f0,
+ 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x008, 0x408, 0x208,
+ 0x608, 0x108, 0x508, 0x308, 0x708, 0x088, 0x488, 0x288, 0x688, 0x188,
+ 0x588, 0x388, 0x788, 0x048, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348,
+ 0x748, 0x0c8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x028,
+ 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0x0a8, 0x4a8, 0x2a8,
+ 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x068, 0x468, 0x268, 0x668, 0x168,
+ 0x568, 0x368, 0x768, 0x0e8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8,
+ 0x7e8, 0x018, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x098,
+ 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x058, 0x458, 0x258,
+ 0x658, 0x158, 0x558, 0x358, 0x758, 0x0d8, 0x4d8, 0x2d8, 0x6d8, 0x1d8,
+ 0x5d8, 0x3d8, 0x7d8, 0x038, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338,
+ 0x738, 0x0b8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x078,
+ 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0x0f8, 0x4f8, 0x2f8,
+ 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x004, 0x404, 0x204, 0x604, 0x104,
+ 0x504, 0x304, 0x704, 0x084, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384,
+ 0x784, 0x044, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0x0c4,
+ 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x024, 0x424, 0x224,
+ 0x624, 0x124, 0x524, 0x324, 0x724, 0x0a4, 0x4a4, 0x2a4, 0x6a4, 0x1a4,
+ 0x5a4, 0x3a4, 0x7a4, 0x064, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364,
+ 0x764, 0x0e4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x014,
+ 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x094, 0x494, 0x294,
+ 0x694, 0x194, 0x594, 0x394, 0x794, 0x054, 0x454, 0x254, 0x654, 0x154,
+ 0x554, 0x354, 0x754, 0x0d4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4,
+ 0x7d4, 0x034, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0x0b4,
+ 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x074, 0x474, 0x274,
+ 0x674, 0x174, 0x574, 0x374, 0x774, 0x0f4, 0x4f4, 0x2f4, 0x6f4, 0x1f4,
+ 0x5f4, 0x3f4, 0x7f4, 0x00c, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c,
+ 0x70c, 0x08c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x04c,
+ 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0x0cc, 0x4cc, 0x2cc,
+ 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x02c, 0x42c, 0x22c, 0x62c, 0x12c,
+ 0x52c, 0x32c, 0x72c, 0x0ac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac,
+ 0x7ac, 0x06c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0x0ec,
+ 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x01c, 0x41c, 0x21c,
+ 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x09c, 0x49c, 0x29c, 0x69c, 0x19c,
+ 0x59c, 0x39c, 0x79c, 0x05c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c,
+ 0x75c, 0x0dc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x03c,
+ 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0x0bc, 0x4bc, 0x2bc,
+ 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x07c, 0x47c, 0x27c, 0x67c, 0x17c,
+ 0x57c, 0x37c, 0x77c, 0x0fc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc,
+ 0x7fc, 0x002, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x082,
+ 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x042, 0x442, 0x242,
+ 0x642, 0x142, 0x542, 0x342, 0x742, 0x0c2, 0x4c2, 0x2c2, 0x6c2, 0x1c2,
+ 0x5c2, 0x3c2, 0x7c2, 0x022, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322,
+ 0x722, 0x0a2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x062,
+ 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0x0e2, 0x4e2, 0x2e2,
+ 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x012, 0x412, 0x212, 0x612, 0x112,
+ 0x512, 0x312, 0x712, 0x092, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392,
+ 0x792, 0x052, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0x0d2,
+ 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x032, 0x432, 0x232,
+ 0x632, 0x132, 0x532, 0x332, 0x732, 0x0b2, 0x4b2, 0x2b2, 0x6b2, 0x1b2,
+ 0x5b2, 0x3b2, 0x7b2, 0x072, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372,
+ 0x772, 0x0f2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0x00a,
+ 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x08a, 0x48a, 0x28a,
+ 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x04a, 0x44a, 0x24a, 0x64a, 0x14a,
+ 0x54a, 0x34a, 0x74a, 0x0ca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca,
+ 0x7ca, 0x02a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0x0aa,
+ 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x06a, 0x46a, 0x26a,
+ 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0x0ea, 0x4ea, 0x2ea, 0x6ea, 0x1ea,
+ 0x5ea, 0x3ea, 0x7ea, 0x01a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a,
+ 0x71a, 0x09a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a,
+ 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0x0da, 0x4da, 0x2da,
+ 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x03a, 0x43a, 0x23a, 0x63a, 0x13a,
+ 0x53a, 0x33a, 0x73a, 0x0ba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba,
+ 0x7ba, 0x07a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0x0fa,
+ 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x006, 0x406, 0x206,
+ 0x606, 0x106, 0x506, 0x306, 0x706, 0x086, 0x486, 0x286, 0x686, 0x186,
+ 0x586, 0x386, 0x786, 0x046, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346,
+ 0x746, 0x0c6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x026,
+ 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0x0a6, 0x4a6, 0x2a6,
+ 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x066, 0x466, 0x266, 0x666, 0x166,
+ 0x566, 0x366, 0x766, 0x0e6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6,
+ 0x7e6, 0x016, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x096,
+ 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x056, 0x456, 0x256,
+ 0x656, 0x156, 0x556, 0x356, 0x756, 0x0d6, 0x4d6, 0x2d6, 0x6d6, 0x1d6,
+ 0x5d6, 0x3d6, 0x7d6, 0x036, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336,
+ 0x736, 0x0b6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x076,
+ 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0x0f6, 0x4f6, 0x2f6,
+ 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0x00e, 0x40e, 0x20e, 0x60e, 0x10e,
+ 0x50e, 0x30e, 0x70e, 0x08e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e,
+ 0x78e, 0x04e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0x0ce,
+ 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x02e, 0x42e, 0x22e,
+ 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0x0ae, 0x4ae, 0x2ae, 0x6ae, 0x1ae,
+ 0x5ae, 0x3ae, 0x7ae, 0x06e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e,
+ 0x76e, 0x0ee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x01e,
+ 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x09e, 0x49e, 0x29e,
+ 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x05e, 0x45e, 0x25e, 0x65e, 0x15e,
+ 0x55e, 0x35e, 0x75e, 0x0de, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de,
+ 0x7de, 0x03e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0x0be,
+ 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x07e, 0x47e, 0x27e,
+ 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0x0fe, 0x4fe, 0x2fe, 0x6fe, 0x1fe,
+ 0x5fe, 0x3fe, 0x7fe, 0x001
+};
+#endif
+
+/**
+ @brief Double Precision Floating-point Twiddle factors Table Generation
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(double)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(double)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_16[32] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32)
+
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_32[64] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, //-0.19509, 0.98079'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388'
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, //-0.55557, 0.83147'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711'
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, //-0.83147, 0.55557'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268'
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, //-0.98079, 0.19509'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, //-0.98079,-0.19509'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268'
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, //-0.83147,-0.55557'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711'
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, //-0.55557,-0.83147'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388'
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, //-0.19509,-0.98079'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509,-0.98079'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388'
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557,-0.83147'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711'
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147,-0.55557'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268'
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079,-0.19509'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_64[128] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017'
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509'
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714'
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557'
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301'
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147'
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694'
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079'
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518'
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079'
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388'
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192'
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147'
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711'
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439'
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557'
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268'
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028'
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509'
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017'
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509'
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268'
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714'
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557'
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711'
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301'
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147'
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388'
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694'
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079'
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518'
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079'
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388'
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192'
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147'
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711'
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439'
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557'
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268'
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028'
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509'
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017'
+ };
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_128[256] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0'
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068'
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017'
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673'
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509'
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298'
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028'
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689'
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268'
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756'
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714'
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141'
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557'
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957'
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439'
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156'
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711'
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095'
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301'
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321'
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147'
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773'
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192'
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399'
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388'
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154'
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694'
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003'
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079'
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918'
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518'
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988'
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1'
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988'
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518'
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918'
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079'
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003'
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694'
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154'
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388'
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399'
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192'
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773'
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147'
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321'
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301'
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095'
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711'
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156'
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439'
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957'
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557'
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141'
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714'
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756'
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268'
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689'
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028'
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298'
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509'
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673'
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017'
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068'
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0'
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068'
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017'
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673'
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509'
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298'
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028'
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689'
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268'
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756'
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714'
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141'
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557'
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957'
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439'
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156'
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711'
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095'
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301'
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321'
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147'
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773'
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192'
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399'
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388'
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154'
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694'
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003'
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079'
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918'
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518'
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988'
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1'
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988'
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518'
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918'
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079'
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003'
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694'
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154'
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388'
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399'
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192'
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773'
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147'
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321'
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301'
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095'
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711'
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156'
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439'
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957'
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557'
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141'
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714'
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756'
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268'
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689'
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028'
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298'
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509'
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673'
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017'
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068'
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_256[512] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_512[1024] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, //-0.012272, 0.99992
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, //-0.036807, 0.99932
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, //-0.061321, 0.99812
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //-0.085797, 0.99631
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992,-0.012272
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932,-0.036807
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812,-0.061321
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631,-0.085797
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //-0.085797, -0.99631
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, //-0.061321, -0.99812
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, //-0.036807, -0.99932
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, //-0.012272, -0.99992
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_1024[2048] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992
+ 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997
+ 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932
+ 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988
+ 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812
+ 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729
+ 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631
+ 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518
+ 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272
+ 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541
+ 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807
+ 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068
+ 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321
+ 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565
+ 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797
+ 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017
+ 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518
+ 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631
+ 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729
+ 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812
+ 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988
+ 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932
+ 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997
+ 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992
+ 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017
+ 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797
+ 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565
+ 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321
+ 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068
+ 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807
+ 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541
+ 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272
+ 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_2048[4096] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068
+ 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359
+ 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339
+ 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407
+ 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608
+ 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675
+ 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873
+ 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938
+ 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132
+ 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195
+ 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383
+ 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444
+ 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624
+ 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682
+ 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854
+ 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909
+ 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107
+ 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412
+ 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327
+ 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632
+ 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545
+ 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285
+ 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762
+ 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066
+ 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976
+ 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528
+ 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189
+ 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491
+ 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398
+ 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177
+ 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606
+ 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907
+ 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981
+ 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011
+ 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011
+ 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311
+ 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209
+ 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508
+ 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404
+ 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702
+ 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596
+ 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893
+ 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783
+ 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079
+ 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967
+ 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262
+ 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146
+ 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441
+ 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322
+ 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615
+ 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493
+ 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785
+ 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659
+ 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195
+ 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821
+ 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111
+ 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978
+ 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266
+ 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129
+ 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416
+ 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276
+ 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561
+ 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416
+ 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701
+ 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552
+ 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835
+ 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681
+ 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962
+ 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804
+ 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084
+ 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922
+ 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422
+ 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033
+ 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309
+ 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137
+ 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412
+ 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235
+ 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508
+ 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326
+ 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598
+ 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741
+ 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768
+ 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487
+ 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755
+ 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557
+ 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823
+ 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619
+ 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883
+ 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673
+ 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936
+ 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272
+ 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298
+ 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759
+ 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017
+ 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789
+ 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046
+ 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812
+ 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066
+ 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826
+ 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078
+ 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831
+ 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081
+ 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828
+ 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076
+ 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816
+ 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062
+ 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795
+ 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038
+ 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765
+ 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006
+ 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725
+ 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964
+ 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676
+ 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912
+ 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618
+ 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851
+ 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549
+ 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781
+ 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471
+ 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667
+ 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383
+ 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609
+ 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285
+ 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508
+ 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176
+ 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397
+ 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057
+ 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275
+ 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927
+ 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143
+ 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787
+ 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72
+ 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636
+ 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846
+ 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474
+ 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682
+ 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301
+ 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506
+ 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117
+ 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319
+ 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921
+ 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612
+ 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714
+ 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691
+ 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495
+ 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689
+ 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265
+ 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456
+ 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023
+ 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211
+ 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769
+ 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954
+ 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503
+ 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685
+ 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225
+ 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404
+ 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935
+ 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211
+ 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632
+ 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805
+ 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317
+ 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486
+ 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989
+ 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155
+ 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649
+ 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812
+ 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296
+ 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456
+ 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593
+ 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087
+ 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551
+ 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705
+ 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716
+ 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309
+ 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755
+ 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901
+ 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336
+ 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848
+ 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905
+ 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045
+ 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946
+ 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597
+ 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002
+ 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135
+ 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053
+ 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066
+ 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044
+ 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171
+ 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545
+ 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668
+ 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032
+ 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151
+ 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505
+ 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621
+ 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964
+ 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077
+ 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409
+ 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518
+ 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384
+ 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946
+ 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257
+ 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359
+ 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466
+ 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759
+ 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049
+ 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144
+ 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423
+ 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514
+ 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783
+ 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587
+ 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128
+ 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212
+ 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459
+ 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539
+ 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775
+ 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852
+ 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077
+ 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715
+ 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364
+ 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434
+ 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637
+ 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703
+ 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895
+ 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957
+ 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138
+ 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196
+ 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366
+ 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421
+ 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858
+ 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631
+ 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778
+ 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826
+ 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962
+ 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006
+ 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131
+ 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171
+ 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285
+ 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321
+ 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424
+ 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456
+ 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548
+ 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577
+ 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657
+ 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682
+ 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751
+ 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772
+ 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983
+ 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848
+ 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894
+ 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908
+ 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943
+ 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953
+ 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977
+ 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983
+ 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996
+ 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998
+ 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1
+ 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998
+ 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992
+ 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988
+ 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983
+ 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997
+ 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962
+ 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953
+ 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932
+ 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992
+ 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908
+ 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988
+ 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864
+ 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848
+ 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812
+ 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793
+ 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772
+ 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729
+ 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706
+ 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682
+ 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631
+ 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604
+ 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577
+ 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518
+ 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488
+ 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456
+ 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356
+ 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321
+ 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921
+ 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171
+ 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049
+ 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006
+ 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872
+ 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826
+ 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681
+ 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631
+ 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475
+ 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421
+ 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254
+ 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196
+ 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018
+ 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957
+ 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768
+ 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703
+ 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503
+ 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434
+ 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223
+ 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715
+ 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928
+ 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852
+ 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619
+ 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539
+ 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295
+ 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212
+ 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957
+ 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587
+ 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605
+ 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514
+ 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238
+ 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144
+ 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856
+ 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759
+ 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446
+ 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359
+ 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051
+ 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946
+ 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627
+ 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518
+ 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188
+ 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077
+ 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736
+ 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621
+ 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227
+ 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151
+ 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179
+ 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668
+ 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296
+ 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171
+ 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789
+ 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066
+ 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267
+ 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135
+ 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732
+ 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597
+ 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184
+ 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045
+ 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622
+ 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848
+ 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047
+ 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901
+ 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459
+ 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309
+ 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857
+ 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705
+ 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242
+ 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087
+ 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615
+ 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456
+ 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974
+ 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812
+ 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321
+ 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155
+ 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655
+ 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486
+ 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976
+ 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805
+ 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285
+ 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211
+ 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581
+ 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404
+ 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866
+ 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685
+ 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138
+ 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954
+ 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398
+ 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211
+ 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646
+ 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456
+ 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882
+ 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689
+ 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106
+ 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691
+ 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319
+ 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612
+ 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552
+ 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319
+ 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471
+ 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506
+ 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889
+ 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682
+ 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056
+ 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846
+ 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213
+ 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72
+ 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358
+ 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143
+ 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493
+ 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275
+ 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618
+ 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397
+ 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732
+ 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508
+ 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835
+ 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609
+ 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928
+ 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667
+ 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011
+ 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781
+ 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085
+ 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851
+ 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148
+ 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912
+ 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202
+ 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964
+ 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246
+ 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006
+ 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281
+ 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038
+ 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307
+ 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062
+ 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323
+ 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076
+ 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331
+ 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081
+ 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733
+ 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078
+ 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632
+ 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066
+ 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302
+ 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046
+ 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275
+ 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017
+ 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324
+ 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298
+ 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198
+ 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936
+ 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147
+ 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883
+ 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089
+ 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823
+ 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023
+ 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755
+ 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949
+ 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768
+ 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869
+ 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598
+ 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781
+ 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508
+ 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687
+ 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412
+ 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586
+ 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309
+ 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478
+ 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422
+ 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364
+ 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084
+ 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243
+ 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962
+ 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117
+ 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835
+ 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985
+ 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701
+ 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847
+ 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561
+ 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703
+ 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416
+ 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554
+ 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266
+ 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334
+ 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111
+ 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241
+ 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195
+ 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077
+ 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785
+ 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908
+ 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615
+ 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735
+ 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441
+ 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557
+ 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262
+ 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375
+ 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079
+ 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519
+ 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893
+ 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24
+ 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702
+ 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807
+ 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508
+ 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611
+ 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311
+ 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411
+ 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011
+ 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208
+ 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907
+ 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002
+ 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177
+ 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794
+ 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491
+ 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583
+ 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528
+ 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437
+ 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066
+ 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154
+ 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285
+ 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937
+ 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632
+ 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717
+ 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412
+ 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963
+ 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909
+ 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274
+ 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682
+ 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505
+ 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444
+ 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258
+ 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195
+ 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003
+ 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938
+ 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741
+ 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675
+ 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474
+ 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407
+ 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038
+ 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359
+ 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068
+ 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359
+ 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272
+ 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339
+ 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407
+ 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541
+ 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608
+ 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675
+ 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807
+ 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873
+ 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938
+ 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068
+ 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132
+ 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195
+ 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321
+ 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383
+ 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444
+ 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565
+ 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624
+ 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682
+ 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797
+ 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854
+ 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909
+ 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017
+ 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107
+ 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412
+ 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327
+ 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632
+ 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545
+ 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285
+ 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762
+ 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066
+ 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976
+ 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528
+ 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189
+ 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491
+ 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398
+ 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177
+ 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606
+ 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907
+ 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981
+ 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011
+ 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011
+ 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311
+ 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209
+ 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508
+ 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404
+ 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702
+ 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596
+ 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893
+ 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783
+ 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079
+ 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967
+ 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262
+ 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146
+ 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441
+ 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322
+ 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615
+ 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493
+ 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785
+ 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659
+ 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195
+ 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821
+ 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111
+ 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978
+ 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266
+ 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129
+ 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416
+ 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276
+ 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561
+ 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416
+ 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701
+ 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552
+ 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835
+ 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681
+ 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962
+ 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804
+ 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084
+ 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922
+ 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422
+ 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033
+ 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309
+ 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137
+ 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412
+ 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235
+ 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508
+ 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326
+ 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598
+ 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741
+ 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768
+ 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487
+ 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755
+ 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557
+ 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823
+ 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619
+ 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883
+ 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673
+ 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936
+ 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272
+ 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298
+ 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759
+ 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017
+ 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789
+ 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046
+ 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812
+ 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066
+ 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826
+ 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078
+ 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831
+ 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081
+ 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828
+ 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076
+ 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816
+ 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062
+ 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795
+ 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038
+ 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765
+ 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006
+ 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725
+ 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964
+ 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676
+ 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912
+ 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618
+ 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851
+ 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549
+ 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781
+ 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471
+ 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667
+ 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383
+ 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609
+ 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285
+ 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508
+ 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176
+ 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397
+ 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057
+ 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275
+ 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927
+ 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143
+ 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787
+ 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72
+ 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636
+ 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846
+ 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474
+ 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682
+ 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301
+ 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506
+ 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117
+ 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319
+ 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921
+ 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612
+ 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714
+ 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691
+ 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495
+ 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689
+ 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265
+ 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456
+ 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023
+ 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211
+ 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769
+ 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954
+ 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503
+ 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685
+ 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225
+ 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404
+ 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935
+ 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211
+ 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632
+ 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805
+ 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317
+ 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486
+ 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989
+ 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155
+ 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649
+ 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812
+ 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296
+ 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456
+ 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593
+ 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087
+ 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551
+ 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705
+ 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716
+ 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309
+ 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755
+ 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901
+ 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336
+ 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848
+ 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905
+ 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045
+ 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946
+ 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597
+ 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002
+ 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135
+ 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053
+ 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066
+ 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044
+ 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171
+ 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545
+ 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668
+ 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032
+ 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151
+ 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505
+ 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621
+ 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964
+ 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077
+ 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409
+ 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518
+ 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384
+ 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946
+ 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257
+ 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359
+ 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466
+ 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759
+ 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049
+ 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144
+ 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423
+ 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514
+ 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783
+ 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587
+ 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128
+ 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212
+ 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459
+ 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539
+ 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775
+ 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852
+ 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077
+ 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715
+ 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364
+ 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434
+ 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637
+ 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703
+ 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895
+ 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957
+ 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138
+ 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196
+ 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366
+ 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421
+ 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858
+ 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631
+ 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778
+ 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826
+ 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962
+ 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006
+ 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131
+ 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171
+ 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285
+ 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321
+ 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424
+ 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456
+ 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518
+ 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548
+ 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577
+ 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631
+ 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657
+ 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682
+ 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729
+ 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751
+ 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772
+ 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812
+ 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983
+ 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848
+ 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988
+ 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894
+ 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908
+ 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932
+ 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943
+ 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953
+ 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997
+ 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977
+ 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983
+ 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992
+ 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996
+ 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998
+ 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1
+ 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998
+ 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988
+ 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983
+ 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962
+ 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953
+ 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992
+ 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908
+ 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864
+ 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848
+ 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793
+ 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772
+ 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706
+ 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682
+ 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604
+ 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577
+ 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488
+ 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456
+ 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356
+ 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321
+ 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921
+ 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171
+ 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049
+ 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006
+ 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872
+ 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826
+ 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681
+ 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631
+ 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475
+ 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421
+ 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254
+ 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196
+ 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018
+ 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957
+ 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768
+ 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703
+ 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503
+ 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434
+ 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223
+ 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715
+ 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928
+ 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852
+ 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619
+ 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539
+ 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295
+ 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212
+ 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957
+ 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587
+ 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605
+ 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514
+ 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238
+ 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144
+ 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856
+ 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759
+ 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446
+ 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359
+ 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051
+ 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946
+ 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627
+ 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518
+ 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188
+ 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077
+ 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736
+ 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621
+ 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227
+ 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151
+ 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179
+ 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668
+ 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296
+ 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171
+ 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789
+ 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066
+ 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267
+ 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135
+ 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732
+ 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597
+ 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184
+ 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045
+ 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622
+ 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848
+ 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047
+ 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901
+ 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459
+ 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309
+ 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857
+ 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705
+ 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242
+ 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087
+ 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615
+ 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456
+ 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974
+ 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812
+ 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321
+ 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155
+ 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655
+ 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486
+ 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976
+ 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805
+ 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285
+ 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211
+ 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581
+ 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404
+ 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866
+ 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685
+ 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138
+ 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954
+ 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398
+ 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211
+ 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646
+ 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456
+ 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882
+ 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689
+ 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106
+ 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691
+ 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319
+ 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612
+ 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552
+ 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319
+ 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471
+ 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506
+ 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889
+ 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682
+ 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056
+ 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846
+ 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213
+ 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72
+ 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358
+ 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143
+ 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493
+ 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275
+ 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618
+ 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397
+ 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732
+ 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508
+ 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835
+ 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609
+ 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928
+ 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667
+ 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011
+ 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781
+ 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085
+ 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851
+ 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148
+ 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912
+ 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202
+ 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964
+ 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246
+ 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006
+ 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281
+ 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038
+ 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307
+ 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062
+ 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323
+ 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076
+ 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331
+ 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081
+ 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733
+ 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078
+ 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632
+ 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066
+ 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302
+ 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046
+ 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275
+ 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017
+ 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324
+ 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298
+ 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198
+ 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936
+ 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147
+ 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883
+ 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089
+ 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823
+ 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023
+ 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755
+ 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949
+ 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768
+ 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869
+ 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598
+ 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781
+ 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508
+ 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687
+ 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412
+ 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586
+ 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309
+ 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478
+ 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422
+ 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364
+ 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084
+ 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243
+ 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962
+ 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117
+ 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835
+ 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985
+ 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701
+ 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847
+ 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561
+ 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703
+ 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416
+ 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554
+ 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266
+ 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334
+ 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111
+ 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241
+ 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195
+ 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077
+ 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785
+ 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908
+ 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615
+ 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735
+ 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441
+ 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557
+ 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262
+ 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375
+ 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079
+ 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519
+ 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893
+ 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24
+ 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702
+ 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807
+ 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508
+ 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611
+ 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311
+ 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411
+ 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011
+ 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208
+ 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907
+ 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002
+ 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177
+ 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794
+ 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491
+ 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583
+ 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528
+ 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437
+ 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066
+ 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154
+ 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285
+ 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937
+ 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632
+ 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717
+ 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412
+ 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017
+ 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963
+ 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909
+ 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797
+ 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274
+ 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682
+ 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565
+ 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505
+ 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444
+ 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321
+ 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258
+ 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195
+ 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068
+ 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003
+ 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938
+ 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807
+ 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741
+ 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675
+ 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541
+ 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474
+ 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407
+ 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272
+ 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038
+ 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359
+ 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068
+
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096)
+/**
+ @par
+ Example code for Double Precision Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const uint64_t twiddleCoefF64_4096[8192] = {
+ 0x3ff0000000000000, 0x0000000000000000, // 1, 0
+ 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534
+ 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068
+ 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019
+ 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359
+ 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698
+ 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038
+ 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738
+ 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272
+ 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805
+ 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339
+ 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873
+ 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407
+ 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994
+ 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474
+ 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008
+ 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541
+ 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075
+ 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608
+ 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142
+ 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675
+ 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208
+ 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741
+ 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274
+ 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807
+ 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834
+ 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873
+ 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406
+ 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938
+ 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471
+ 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003
+ 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535
+ 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068
+ 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506
+ 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132
+ 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664
+ 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195
+ 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727
+ 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258
+ 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979
+ 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321
+ 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852
+ 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383
+ 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913
+ 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444
+ 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974
+ 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505
+ 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035
+ 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565
+ 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094
+ 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624
+ 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153
+ 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682
+ 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211
+ 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274
+ 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269
+ 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797
+ 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326
+ 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854
+ 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381
+ 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909
+ 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436
+ 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963
+ 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649
+ 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017
+ 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544
+ 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107
+ 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026
+ 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412
+ 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565
+ 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717
+ 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087
+ 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022
+ 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175
+ 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327
+ 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479
+ 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632
+ 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784
+ 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937
+ 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089
+ 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241
+ 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393
+ 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545
+ 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698
+ 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285
+ 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002
+ 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154
+ 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306
+ 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458
+ 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361
+ 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762
+ 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914
+ 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066
+ 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218
+ 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437
+ 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521
+ 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673
+ 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825
+ 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976
+ 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128
+ 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528
+ 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431
+ 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583
+ 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734
+ 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886
+ 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037
+ 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189
+ 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634
+ 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491
+ 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643
+ 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794
+ 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945
+ 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096
+ 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247
+ 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398
+ 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549
+ 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177
+ 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851
+ 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002
+ 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153
+ 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304
+ 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455
+ 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606
+ 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756
+ 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907
+ 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057
+ 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208
+ 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359
+ 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509
+ 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659
+ 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981
+ 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996
+ 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011
+ 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261
+ 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411
+ 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561
+ 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711
+ 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861
+ 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011
+ 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161
+ 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311
+ 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461
+ 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611
+ 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176
+ 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191
+ 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206
+ 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209
+ 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359
+ 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508
+ 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658
+ 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807
+ 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957
+ 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106
+ 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255
+ 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404
+ 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553
+ 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702
+ 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851
+ 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24
+ 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149
+ 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298
+ 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447
+ 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596
+ 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744
+ 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893
+ 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041
+ 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519
+ 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338
+ 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487
+ 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635
+ 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783
+ 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931
+ 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079
+ 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227
+ 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375
+ 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523
+ 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671
+ 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819
+ 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967
+ 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115
+ 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262
+ 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741
+ 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557
+ 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705
+ 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852
+ 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999
+ 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146
+ 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294
+ 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441
+ 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588
+ 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735
+ 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882
+ 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028
+ 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175
+ 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322
+ 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469
+ 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615
+ 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762
+ 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908
+ 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054
+ 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201
+ 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347
+ 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493
+ 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639
+ 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785
+ 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931
+ 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077
+ 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222
+ 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368
+ 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514
+ 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659
+ 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805
+ 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195
+ 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096
+ 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241
+ 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386
+ 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531
+ 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676
+ 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821
+ 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966
+ 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111
+ 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255
+ 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334
+ 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545
+ 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689
+ 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833
+ 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978
+ 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122
+ 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266
+ 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441
+ 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554
+ 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698
+ 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842
+ 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986
+ 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129
+ 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273
+ 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416
+ 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556
+ 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703
+ 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846
+ 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599
+ 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133
+ 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276
+ 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418
+ 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561
+ 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704
+ 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847
+ 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989
+ 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132
+ 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274
+ 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416
+ 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559
+ 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701
+ 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843
+ 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985
+ 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127
+ 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268
+ 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841
+ 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552
+ 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693
+ 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835
+ 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976
+ 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117
+ 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258
+ 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399
+ 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954
+ 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681
+ 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822
+ 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962
+ 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103
+ 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243
+ 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384
+ 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524
+ 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664
+ 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804
+ 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944
+ 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084
+ 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224
+ 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364
+ 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503
+ 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643
+ 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782
+ 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922
+ 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061
+ 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422
+ 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339
+ 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478
+ 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617
+ 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756
+ 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894
+ 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033
+ 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171
+ 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309
+ 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448
+ 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586
+ 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724
+ 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862
+ 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999
+ 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137
+ 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275
+ 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412
+ 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455
+ 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687
+ 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824
+ 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961
+ 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098
+ 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235
+ 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372
+ 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508
+ 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645
+ 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781
+ 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918
+ 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054
+ 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619
+ 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326
+ 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462
+ 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598
+ 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733
+ 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869
+ 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004
+ 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714
+ 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275
+ 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741
+ 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545
+ 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768
+ 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815
+ 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949
+ 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084
+ 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218
+ 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353
+ 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487
+ 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621
+ 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755
+ 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889
+ 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023
+ 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156
+ 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929
+ 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423
+ 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557
+ 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969
+ 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823
+ 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956
+ 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089
+ 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221
+ 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354
+ 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486
+ 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619
+ 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751
+ 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883
+ 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015
+ 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147
+ 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279
+ 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141
+ 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542
+ 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673
+ 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804
+ 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936
+ 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067
+ 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198
+ 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328
+ 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459
+ 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259
+ 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272
+ 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285
+ 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298
+ 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311
+ 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324
+ 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337
+ 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535
+ 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629
+ 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759
+ 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888
+ 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017
+ 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146
+ 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275
+ 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404
+ 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532
+ 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661
+ 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789
+ 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918
+ 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046
+ 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174
+ 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302
+ 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429
+ 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557
+ 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685
+ 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812
+ 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939
+ 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066
+ 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193
+ 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632
+ 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447
+ 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573
+ 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567
+ 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826
+ 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952
+ 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078
+ 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204
+ 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733
+ 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455
+ 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581
+ 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706
+ 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831
+ 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956
+ 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081
+ 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206
+ 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331
+ 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455
+ 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858
+ 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704
+ 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828
+ 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952
+ 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076
+ 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592
+ 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323
+ 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447
+ 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957
+ 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693
+ 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816
+ 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939
+ 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062
+ 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184
+ 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307
+ 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429
+ 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551
+ 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673
+ 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795
+ 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917
+ 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038
+ 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116
+ 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281
+ 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402
+ 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523
+ 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644
+ 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765
+ 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885
+ 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006
+ 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126
+ 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246
+ 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366
+ 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486
+ 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606
+ 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725
+ 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845
+ 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964
+ 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083
+ 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202
+ 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321
+ 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439
+ 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558
+ 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676
+ 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794
+ 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912
+ 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403
+ 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148
+ 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266
+ 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383
+ 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645
+ 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618
+ 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735
+ 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851
+ 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968
+ 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085
+ 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201
+ 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317
+ 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433
+ 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549
+ 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665
+ 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781
+ 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896
+ 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011
+ 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127
+ 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242
+ 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356
+ 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471
+ 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586
+ 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667
+ 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814
+ 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928
+ 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042
+ 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156
+ 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269
+ 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383
+ 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496
+ 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609
+ 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722
+ 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835
+ 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948
+ 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806
+ 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172
+ 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285
+ 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397
+ 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508
+ 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862
+ 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732
+ 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843
+ 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954
+ 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065
+ 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176
+ 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287
+ 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397
+ 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508
+ 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618
+ 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728
+ 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838
+ 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947
+ 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057
+ 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166
+ 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275
+ 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385
+ 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493
+ 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602
+ 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711
+ 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819
+ 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927
+ 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035
+ 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143
+ 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251
+ 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358
+ 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466
+ 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573
+ 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168
+ 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787
+ 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894
+ 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72
+ 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107
+ 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213
+ 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319
+ 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425
+ 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253
+ 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636
+ 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741
+ 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846
+ 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951
+ 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056
+ 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161
+ 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265
+ 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337
+ 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474
+ 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578
+ 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682
+ 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785
+ 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889
+ 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992
+ 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095
+ 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198
+ 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301
+ 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403
+ 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506
+ 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608
+ 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471
+ 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812
+ 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914
+ 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015
+ 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117
+ 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218
+ 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319
+ 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419
+ 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552
+ 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621
+ 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721
+ 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821
+ 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921
+ 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021
+ 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612
+ 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622
+ 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319
+ 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418
+ 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517
+ 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615
+ 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714
+ 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812
+ 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691
+ 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008
+ 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106
+ 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204
+ 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301
+ 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398
+ 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495
+ 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592
+ 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689
+ 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785
+ 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882
+ 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978
+ 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074
+ 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169
+ 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265
+ 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836
+ 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456
+ 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551
+ 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646
+ 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874
+ 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835
+ 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929
+ 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023
+ 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117
+ 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211
+ 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304
+ 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398
+ 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491
+ 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584
+ 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676
+ 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769
+ 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861
+ 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954
+ 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046
+ 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138
+ 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229
+ 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321
+ 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412
+ 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503
+ 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594
+ 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685
+ 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775
+ 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866
+ 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956
+ 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046
+ 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135
+ 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225
+ 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314
+ 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404
+ 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493
+ 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581
+ 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167
+ 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758
+ 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847
+ 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935
+ 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023
+ 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211
+ 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198
+ 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285
+ 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372
+ 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459
+ 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546
+ 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632
+ 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718
+ 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805
+ 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289
+ 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976
+ 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062
+ 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147
+ 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232
+ 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317
+ 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402
+ 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486
+ 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571
+ 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655
+ 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739
+ 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822
+ 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906
+ 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989
+ 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073
+ 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155
+ 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238
+ 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321
+ 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403
+ 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485
+ 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567
+ 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649
+ 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731
+ 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812
+ 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893
+ 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974
+ 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055
+ 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136
+ 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216
+ 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296
+ 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376
+ 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456
+ 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535
+ 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615
+ 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694
+ 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773
+ 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852
+ 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593
+ 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009
+ 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087
+ 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165
+ 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242
+ 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632
+ 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397
+ 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474
+ 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551
+ 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628
+ 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705
+ 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781
+ 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857
+ 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933
+ 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009
+ 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084
+ 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716
+ 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235
+ 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309
+ 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384
+ 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459
+ 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533
+ 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607
+ 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681
+ 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755
+ 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828
+ 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901
+ 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974
+ 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047
+ 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812
+ 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192
+ 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264
+ 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336
+ 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408
+ 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848
+ 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551
+ 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622
+ 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693
+ 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764
+ 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835
+ 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905
+ 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975
+ 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045
+ 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115
+ 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184
+ 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253
+ 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322
+ 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391
+ 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946
+ 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528
+ 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597
+ 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665
+ 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732
+ 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898
+ 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867
+ 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935
+ 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002
+ 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068
+ 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135
+ 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201
+ 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267
+ 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333
+ 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399
+ 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464
+ 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053
+ 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595
+ 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066
+ 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724
+ 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789
+ 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853
+ 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917
+ 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981
+ 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044
+ 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107
+ 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171
+ 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234
+ 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296
+ 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359
+ 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421
+ 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483
+ 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545
+ 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606
+ 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668
+ 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729
+ 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179
+ 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851
+ 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911
+ 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972
+ 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032
+ 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092
+ 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151
+ 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211
+ 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227
+ 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329
+ 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388
+ 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447
+ 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505
+ 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563
+ 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621
+ 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679
+ 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736
+ 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794
+ 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851
+ 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907
+ 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964
+ 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021
+ 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077
+ 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133
+ 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188
+ 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244
+ 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299
+ 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354
+ 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409
+ 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464
+ 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518
+ 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573
+ 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627
+ 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368
+ 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734
+ 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787
+ 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384
+ 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893
+ 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946
+ 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998
+ 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051
+ 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103
+ 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154
+ 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206
+ 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257
+ 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308
+ 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359
+ 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441
+ 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446
+ 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511
+ 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561
+ 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611
+ 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466
+ 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709
+ 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759
+ 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807
+ 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856
+ 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905
+ 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953
+ 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001
+ 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049
+ 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096
+ 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144
+ 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191
+ 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238
+ 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284
+ 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331
+ 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377
+ 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423
+ 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469
+ 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514
+ 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559
+ 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605
+ 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649
+ 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694
+ 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738
+ 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783
+ 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827
+ 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587
+ 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914
+ 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957
+ 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96
+ 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043
+ 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086
+ 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128
+ 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617
+ 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212
+ 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254
+ 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295
+ 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337
+ 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378
+ 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418
+ 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459
+ 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499
+ 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539
+ 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579
+ 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619
+ 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658
+ 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698
+ 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737
+ 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775
+ 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814
+ 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852
+ 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689
+ 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928
+ 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966
+ 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003
+ 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704
+ 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077
+ 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114
+ 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715
+ 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187
+ 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223
+ 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258
+ 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294
+ 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329
+ 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364
+ 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399
+ 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434
+ 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468
+ 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503
+ 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536
+ 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757
+ 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604
+ 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637
+ 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767
+ 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703
+ 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735
+ 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768
+ 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978
+ 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832
+ 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863
+ 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895
+ 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926
+ 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957
+ 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988
+ 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018
+ 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048
+ 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079
+ 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108
+ 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138
+ 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167
+ 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196
+ 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225
+ 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254
+ 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282
+ 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311
+ 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339
+ 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366
+ 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394
+ 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421
+ 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448
+ 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475
+ 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501
+ 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528
+ 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554
+ 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858
+ 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605
+ 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631
+ 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656
+ 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681
+ 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706
+ 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873
+ 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754
+ 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778
+ 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802
+ 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826
+ 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849
+ 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872
+ 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895
+ 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918
+ 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894
+ 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962
+ 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984
+ 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006
+ 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027
+ 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049
+ 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907
+ 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909
+ 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111
+ 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131
+ 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151
+ 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171
+ 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191
+ 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921
+ 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229
+ 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248
+ 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267
+ 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285
+ 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303
+ 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321
+ 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339
+ 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356
+ 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374
+ 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391
+ 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407
+ 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424
+ 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944
+ 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456
+ 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472
+ 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488
+ 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503
+ 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518
+ 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533
+ 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548
+ 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563
+ 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577
+ 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591
+ 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604
+ 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618
+ 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631
+ 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644
+ 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657
+ 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967
+ 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682
+ 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694
+ 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706
+ 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718
+ 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729
+ 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974
+ 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751
+ 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762
+ 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772
+ 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783
+ 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793
+ 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802
+ 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812
+ 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821
+ 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983
+ 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839
+ 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848
+ 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856
+ 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864
+ 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872
+ 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988
+ 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887
+ 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894
+ 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901
+ 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908
+ 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914
+ 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992
+ 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926
+ 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932
+ 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938
+ 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943
+ 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948
+ 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953
+ 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958
+ 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962
+ 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966
+ 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997
+ 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974
+ 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977
+ 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998
+ 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983
+ 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986
+ 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988
+ 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999
+ 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992
+ 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994
+ 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996
+ 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, // 0.0076698, 0.99997
+ 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998
+ 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, // 0.0046019, 0.99999
+ 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1
+ 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1
+ 0x0000000000000000, 0x3ff0000000000000, // 0, 1
+ 0xbf5921faaee6472d, 0x3feffffd88586ee6, // -0.001534, 1
+ 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1
+ 0xbf72d97822f996bc, 0x3fefffe9cb1e2e8d, //-0.0046019, 0.99999
+ 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998
+ 0xbf7f6a65f9a2a3c5, 0x3fefffc250b5daef, //-0.0076698, 0.99997
+ 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996
+ 0xbf85fda037ac05e0, 0x3fefff871937ce2f, // -0.010738, 0.99994
+ 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992
+ 0xbf8c45ffe1e48ad9, 0x3fefff3824c88f6f, // -0.013805, 0.9999
+ 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988
+ 0xbf9147270dad7132, 0x3feffed57398d2b7, // -0.016873, 0.99986
+ 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983
+ 0xbf946b4381fce81c, 0x3feffe5f05e578db, // -0.01994, 0.9998
+ 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977
+ 0xbf978f535ddc9f03, 0x3feffdd4dbf78f52, // -0.023008, 0.99974
+ 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997
+ 0xbf9ab354b1504fca, 0x3feffd36f624500c, // -0.026075, 0.99966
+ 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962
+ 0xbf9dd7458c64ab39, 0x3feffc8554cd213a, // -0.029142, 0.99958
+ 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953
+ 0xbfa07d91ff984580, 0x3feffbbff85f9515, // -0.032208, 0.99948
+ 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943
+ 0xbfa20f770ceb11c6, 0x3feffae6e1556998, // -0.035274, 0.99938
+ 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932
+ 0xbfa3a150f6421afc, 0x3feff9fa10348837, // -0.03834, 0.99926
+ 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992
+ 0xbfa5331ec3bba0eb, 0x3feff8f9858f058b, // -0.041406, 0.99914
+ 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908
+ 0xbfa6c4df7d7d5b84, 0x3feff7e5420320f9, // -0.044471, 0.99901
+ 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894
+ 0xbfa856922bb513c1, 0x3feff6bd463b444d, // -0.047535, 0.99887
+ 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988
+ 0xbfa9e835d6993c87, 0x3feff58192ee0358, // -0.0506, 0.99872
+ 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864
+ 0xbfab79c986698b78, 0x3feff43228de1b77, // -0.053664, 0.99856
+ 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848
+ 0xbfad0b4c436f91d0, 0x3feff2cf08da7321, // -0.056727, 0.99839
+ 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983
+ 0xbfae9cbd15ff5527, 0x3feff15833be1965, // -0.05979, 0.99821
+ 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812
+ 0xbfb0170d833bf421, 0x3fefefcdaa704562, // -0.062852, 0.99802
+ 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793
+ 0xbfb0dfb28ea201e6, 0x3fefee2f6de455ba, // -0.065913, 0.99783
+ 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772
+ 0xbfb1a84d316d4f8a, 0x3fefec7d7f19cffc, // -0.068974, 0.99762
+ 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751
+ 0xbfb270dcefdfc45b, 0x3fefeab7df1c6005, // -0.072035, 0.9974
+ 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729
+ 0xbfb339614e41ffa5, 0x3fefe8de8f03d75c, // -0.075094, 0.99718
+ 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706
+ 0xbfb401d9d0e3a507, 0x3fefe6f18ff42c84, // -0.078153, 0.99694
+ 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682
+ 0xbfb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // -0.081211, 0.9967
+ 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657
+ 0xbfb592a554489bc8, 0x3fefe2dc89bbff08, // -0.084269, 0.99644
+ 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631
+ 0xbfb65af75dd0f87b, 0x3fefe0b485181be3, // -0.087326, 0.99618
+ 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604
+ 0xbfb7233b9d236e71, 0x3fefde78d68653fd, // -0.090381, 0.99591
+ 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577
+ 0xbfb7eb7196b72ee4, 0x3fefdc297f674ba9, // -0.093436, 0.99563
+ 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548
+ 0xbfb8b398cf0c38e0, 0x3fefd9c68127c78c, // -0.09649, 0.99533
+ 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518
+ 0xbfb97bb0caaba56f, 0x3fefd74fdd40abbf, // -0.099544, 0.99503
+ 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488
+ 0xbfba43b90e27f3c4, 0x3fefd4c59536fae4, // -0.1026, 0.99472
+ 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456
+ 0xbfbb0bb11e1d5559, 0x3fefd227aa9bd53b, // -0.10565, 0.9944
+ 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424
+ 0xbfbbd3987f31fa0e, 0x3fefcf761f0c77a3, // -0.1087, 0.99407
+ 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391
+ 0xbfbc9b6eb6165c42, 0x3fefccb0f4323aa3, // -0.11175, 0.99374
+ 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356
+ 0xbfbd633347858ce4, 0x3fefc9d82bc2915e, // -0.11479, 0.99339
+ 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321
+ 0xbfbe2ae5b8457f77, 0x3fefc6ebc77f0887, // -0.11784, 0.99303
+ 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285
+ 0xbfbef2858d27561b, 0x3fefc3ebc935454c, // -0.12089, 0.99267
+ 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248
+ 0xbfbfba124b07ad85, 0x3fefc0d832bf043a, // -0.12393, 0.99229
+ 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921
+ 0xbfc040c5bb67747e, 0x3fefbdb106021816, // -0.12698, 0.99191
+ 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171
+ 0xbfc0a4784ab8bf1d, 0x3fefba7644f068b5, // -0.13002, 0.99151
+ 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131
+ 0xbfc1082095f820b0, 0x3fefb727f187f1c7, // -0.13306, 0.99111
+ 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909
+ 0xbfc16bbe5fac5865, 0x3fefb3c60dd2c199, // -0.1361, 0.9907
+ 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049
+ 0xbfc1cf516a62a077, 0x3fefb0509be6f7db, // -0.13914, 0.99027
+ 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006
+ 0xbfc232d978aed413, 0x3fefacc79de6c44f, // -0.14218, 0.98984
+ 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962
+ 0xbfc296564d2b953e, 0x3fefa92b1600657c, // -0.14521, 0.9894
+ 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918
+ 0xbfc2f9c7aa7a72af, 0x3fefa57b066e2754, // -0.14825, 0.98895
+ 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872
+ 0xbfc35d2d53440db2, 0x3fefa1b7717661d5, // -0.15128, 0.98849
+ 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826
+ 0xbfc3c0870a383ff6, 0x3fef9de0596b77a3, // -0.15431, 0.98802
+ 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778
+ 0xbfc423d4920e4166, 0x3fef99f5c0abd496, // -0.15734, 0.98754
+ 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873
+ 0xbfc48715ad84cdf5, 0x3fef95f7a9a1ec47, // -0.16037, 0.98706
+ 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681
+ 0xbfc4ea4a1f624b61, 0x3fef91e616c43891, // -0.1634, 0.98656
+ 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631
+ 0xbfc54d71aa74ef02, 0x3fef8dc10a95380d, // -0.16643, 0.98605
+ 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858
+ 0xbfc5b08c1192e381, 0x3fef898887a36c84, // -0.16945, 0.98554
+ 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528
+ 0xbfc61399179a6e94, 0x3fef853c9089595e, // -0.17247, 0.98501
+ 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475
+ 0xbfc676987f7216b8, 0x3fef80dd27ed8204, // -0.17549, 0.98448
+ 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421
+ 0xbfc6d98a0c08c8da, 0x3fef7c6a50826840, // -0.17851, 0.98394
+ 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366
+ 0xbfc73c6d8055fe0a, 0x3fef77e40d068a90, // -0.18153, 0.98339
+ 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311
+ 0xbfc79f429f59e11d, 0x3fef734a60446279, // -0.18455, 0.98282
+ 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254
+ 0xbfc802092c1d744b, 0x3fef6e9d4d1262ca, // -0.18756, 0.98225
+ 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196
+ 0xbfc864c0e9b2b6cf, 0x3fef69dcd652f5de, // -0.19057, 0.98167
+ 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138
+ 0xbfc8c7699b34ca7e, 0x3fef6508fef47bd5, // -0.19359, 0.98108
+ 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079
+ 0xbfc92a0303c8194f, 0x3fef6021c9f148c2, // -0.19659, 0.98048
+ 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018
+ 0xbfc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // -0.1996, 0.97988
+ 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957
+ 0xbfc9ef0706e35a35, 0x3fef56195321c090, // -0.20261, 0.97926
+ 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895
+ 0xbfca517127e3dabc, 0x3fef50f81785c6b9, // -0.20561, 0.97863
+ 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832
+ 0xbfcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // -0.20861, 0.978
+ 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768
+ 0xbfcb16147941ca2a, 0x3fef467bafb7bbe0, // -0.21161, 0.97735
+ 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703
+ 0xbfcb784d30536cda, 0x3fef412089fd8adc, // -0.21461, 0.9767
+ 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637
+ 0xbfcbda74f5856330, 0x3fef3bb21cc4fe47, // -0.2176, 0.97604
+ 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757
+ 0xbfcc3c8b8c4b9dd7, 0x3fef36306b67c556, // -0.2206, 0.97536
+ 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503
+ 0xbfcc9e90b824a6a9, 0x3fef309b794b719f, // -0.22359, 0.97468
+ 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434
+ 0xbfcd00843c99c5f9, 0x3fef2af349e17507, // -0.22658, 0.97399
+ 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364
+ 0xbfcd6265dd3f27e3, 0x3fef2537e0a71f9f, // -0.22957, 0.97329
+ 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294
+ 0xbfcdc4355db40195, 0x3fef1f6941259d7a, // -0.23255, 0.97258
+ 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223
+ 0xbfce25f281a2b684, 0x3fef19876ef1f486, // -0.23553, 0.97187
+ 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715
+ 0xbfce879d0cc0fdaf, 0x3fef13926dad024e, // -0.23851, 0.97114
+ 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077
+ 0xbfcee934c2d006c7, 0x3fef0d8a410379c5, // -0.24149, 0.9704
+ 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003
+ 0xbfcf4ab9679c9f5c, 0x3fef076eecade0fa, // -0.24447, 0.96966
+ 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928
+ 0xbfcfac2abeff57ff, 0x3fef014074708ed3, // -0.24744, 0.9689
+ 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852
+ 0xbfd006c4466e54af, 0x3feefafedc1ba8b7, // -0.25041, 0.96814
+ 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775
+ 0xbfd037694a928cac, 0x3feef4aa278b2032, // -0.25338, 0.96737
+ 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698
+ 0xbfd068044deab002, 0x3feeee425aa6b09a, // -0.25635, 0.96658
+ 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619
+ 0xbfd09895327b465e, 0x3feee7c77961dc9e, // -0.25931, 0.96579
+ 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539
+ 0xbfd0c91bda4f158d, 0x3feee13987bbebdc, // -0.26227, 0.96499
+ 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459
+ 0xbfd0f998277733f7, 0x3feeda9889bfe86a, // -0.26523, 0.96418
+ 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378
+ 0xbfd12a09fc0b1b12, 0x3feed3e483849c51, // -0.26819, 0.96337
+ 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295
+ 0xbfd15a713a28b9d9, 0x3feecd1d792c8f10, // -0.27115, 0.96254
+ 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212
+ 0xbfd18acdc3f4873a, 0x3feec6436ee60309, // -0.2741, 0.9617
+ 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128
+ 0xbfd1bb1f7b999480, 0x3feebf5668eaf2ef, // -0.27705, 0.96086
+ 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043
+ 0xbfd1eb6643499fbb, 0x3feeb8566b810f2a, // -0.27999, 0.96
+ 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957
+ 0xbfd21ba1fd3d2623, 0x3feeb1437af9bb34, // -0.28294, 0.95914
+ 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587
+ 0xbfd24bd28bb37672, 0x3feeaa1d9bb20af3, // -0.28588, 0.95827
+ 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783
+ 0xbfd27bf7d0f2c346, 0x3feea2e4d212c000, // -0.28882, 0.95738
+ 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694
+ 0xbfd2ac11af483572, 0x3fee9b99229046f8, // -0.29175, 0.95649
+ 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605
+ 0xbfd2dc200907fe51, 0x3fee943a91aab4b4, // -0.29469, 0.95559
+ 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514
+ 0xbfd30c22c08d6a13, 0x3fee8cc923edc388, // -0.29762, 0.95469
+ 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423
+ 0xbfd33c19b83af207, 0x3fee8544ddf0d075, // -0.30054, 0.95377
+ 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331
+ 0xbfd36c04d27a4edf, 0x3fee7dadc456d850, // -0.30347, 0.95284
+ 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238
+ 0xbfd39be3f1bc8aef, 0x3fee7603dbce74e9, // -0.30639, 0.95191
+ 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144
+ 0xbfd3cbb6f87a146e, 0x3fee6e472911da27, // -0.30931, 0.95096
+ 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049
+ 0xbfd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // -0.31222, 0.95001
+ 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953
+ 0xbfd42b38466e2928, 0x3fee5e95781ebf1c, // -0.31514, 0.94905
+ 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856
+ 0xbfd45ae652bb2800, 0x3fee56a083968eb1, // -0.31805, 0.94807
+ 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759
+ 0xbfd48a87d0b07fd7, 0x3fee4e98d836c0af, // -0.32096, 0.94709
+ 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466
+ 0xbfd4ba1ca2eca31c, 0x3fee467e7af35f23, // -0.32386, 0.94611
+ 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561
+ 0xbfd4e9a4ac15d520, 0x3fee3e5170cbfc46, // -0.32676, 0.94511
+ 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446
+ 0xbfd5191fceda3c35, 0x3fee3611becbaf69, // -0.32966, 0.9441
+ 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359
+ 0xbfd5488dedeff3be, 0x3fee2dbf6a0911d9, // -0.33255, 0.94308
+ 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257
+ 0xbfd577eeec151e47, 0x3fee255a77a63bb8, // -0.33545, 0.94206
+ 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154
+ 0xbfd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // -0.33833, 0.94103
+ 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051
+ 0xbfd5d68910aee686, 0x3fee1458cec1ad83, // -0.34122, 0.93998
+ 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946
+ 0xbfd605c1fcc88f63, 0x3fee0bbc22bd8349, // -0.3441, 0.93893
+ 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384
+ 0xbfd634ed533be58e, 0x3fee030cee1435b8, // -0.34698, 0.93787
+ 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734
+ 0xbfd6640af6f03d9e, 0x3fedfa4b3621271d, // -0.34986, 0.9368
+ 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627
+ 0xbfd6931acad55f51, 0x3fedf177004b2534, // -0.35273, 0.93573
+ 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518
+ 0xbfd6c21cb1e39771, 0x3fede890520465ce, // -0.3556, 0.93464
+ 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409
+ 0xbfd6f1108f1bc9c5, 0x3feddf9730ca837b, // -0.35846, 0.93354
+ 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299
+ 0xbfd71ff6458782ec, 0x3fedd68ba2267a25, // -0.36133, 0.93244
+ 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188
+ 0xbfd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // -0.36418, 0.93133
+ 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077
+ 0xbfd77d96ca4b73a6, 0x3fedc43d52fcb453, // -0.36704, 0.93021
+ 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964
+ 0xbfd7ac515ee2b172, 0x3fedbafa9dc1b78d, // -0.36989, 0.92907
+ 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851
+ 0xbfd7dafd592ba621, 0x3fedb1a591b20c38, // -0.37274, 0.92794
+ 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736
+ 0xbfd8099a9c5c362d, 0x3feda83e348f613b, // -0.37559, 0.92679
+ 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621
+ 0xbfd838290bb359c8, 0x3fed9ec48c26b1f3, // -0.37843, 0.92563
+ 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505
+ 0xbfd866a88a792ea0, 0x3fed95389e50429b, // -0.38127, 0.92447
+ 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388
+ 0xbfd89518fbff098e, 0x3fed8b9a70ef9cb4, // -0.3841, 0.92329
+ 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227
+ 0xbfd8c37a439f884f, 0x3fed81ea09f38b63, // -0.38693, 0.92211
+ 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151
+ 0xbfd8f1cc44bea329, 0x3fed78276f5617c6, // -0.38976, 0.92092
+ 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032
+ 0xbfd9200ee2c9be97, 0x3fed6e52a71c8547, // -0.39258, 0.91972
+ 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911
+ 0xbfd94e420137bce3, 0x3fed646bb7574de5, // -0.3954, 0.91851
+ 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179
+ 0xbfd97c6583890fc2, 0x3fed5a72a6221e73, // -0.39822, 0.91729
+ 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668
+ 0xbfd9aa794d47c9ee, 0x3fed506779a3d2d9, // -0.40103, 0.91606
+ 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545
+ 0xbfd9d87d4207b0ab, 0x3fed464a380e7242, // -0.40384, 0.91483
+ 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421
+ 0xbfda067145664d57, 0x3fed3c1ae79f2b4e, // -0.40664, 0.91359
+ 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296
+ 0xbfda34553b0afee5, 0x3fed31d98e9e503a, // -0.40944, 0.91234
+ 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171
+ 0xbfda622906a70b63, 0x3fed2786335f52fc, // -0.41224, 0.91107
+ 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044
+ 0xbfda8fec8bf5b166, 0x3fed1d20dc40c15c, // -0.41503, 0.90981
+ 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917
+ 0xbfdabd9faebc3980, 0x3fed12a98fac410c, // -0.41782, 0.90853
+ 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789
+ 0xbfdaeb4252ca07ab, 0x3fed082054168bac, // -0.42061, 0.90724
+ 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066
+ 0xbfdb18d45bf8aca6, 0x3fecfd852fff6ad4, // -0.42339, 0.90595
+ 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053
+ 0xbfdb4655ae2bf757, 0x3fecf2d829f1b40e, // -0.42617, 0.90464
+ 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399
+ 0xbfdb73c62d520624, 0x3fece819488344ce, // -0.42894, 0.90333
+ 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267
+ 0xbfdba125bd63583e, 0x3fecdd489254fe65, // -0.43171, 0.90201
+ 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135
+ 0xbfdbce744262deee, 0x3fecd2660e12c1e6, // -0.43448, 0.90068
+ 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002
+ 0xbfdbfbb1a05e0edc, 0x3fecc771c2736c09, // -0.43724, 0.89935
+ 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867
+ 0xbfdc28ddbb6cf145, 0x3fecbc6bb638d10b, // -0.43999, 0.898
+ 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732
+ 0xbfdc55f877b23537, 0x3fecb153f02fb87d, // -0.44275, 0.89665
+ 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597
+ 0xbfdc8301b95b40c2, 0x3feca62a772fd919, // -0.4455, 0.89528
+ 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946
+ 0xbfdcaff964a0421d, 0x3fec9aef521bd480, // -0.44824, 0.89391
+ 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322
+ 0xbfdcdcdf5dc440ce, 0x3fec8fa287e13305, // -0.45098, 0.89253
+ 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184
+ 0xbfdd09b389152ec1, 0x3fec84441f785f61, // -0.45372, 0.89115
+ 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045
+ 0xbfdd3675caebf962, 0x3fec78d41fe4a267, // -0.45645, 0.88975
+ 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905
+ 0xbfdd632607ac9aa9, 0x3fec6d5290341eb2, // -0.45918, 0.88835
+ 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764
+ 0xbfdd8fc423c62a25, 0x3fec61bf777fcc48, // -0.4619, 0.88693
+ 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622
+ 0xbfddbc5003b2edf8, 0x3fec561adceb743e, // -0.46462, 0.88551
+ 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848
+ 0xbfdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // -0.46733, 0.88408
+ 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336
+ 0xbfde1530a12779f4, 0x3fec3e9d3ee7d262, // -0.47004, 0.88264
+ 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192
+ 0xbfde418527dc4ffa, 0x3fec32c449f60831, // -0.47275, 0.8812
+ 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047
+ 0xbfde6dc704be97e2, 0x3fec26d9f01f2eaf, // -0.47545, 0.87974
+ 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901
+ 0xbfde99f61c817eda, 0x3fec1ade38bce19b, // -0.47815, 0.87828
+ 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755
+ 0xbfdec61253e3c61b, 0x3fec0ed12b3372e9, // -0.48084, 0.87681
+ 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607
+ 0xbfdef21b8fafd3b5, 0x3fec02b2cef1e641, // -0.48353, 0.87533
+ 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459
+ 0xbfdf1e11b4bbc35c, 0x3febf6832b71ec5b, // -0.48621, 0.87384
+ 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309
+ 0xbfdf49f4a7e97729, 0x3febea424837de6d, // -0.48889, 0.87235
+ 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716
+ 0xbfdf75c44e26a852, 0x3febddf02cd2b983, // -0.49156, 0.87084
+ 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009
+ 0xbfdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // -0.49423, 0.86933
+ 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857
+ 0xbfdfcd2947c1ff57, 0x3febc5186bf8361d, // -0.4969, 0.86781
+ 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705
+ 0xbfdff8be6537615e, 0x3febb892d5d5dad5, // -0.49956, 0.86628
+ 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551
+ 0xbfe0121fe4f56d2c, 0x3febabfc262e6586, // -0.50221, 0.86474
+ 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397
+ 0xbfe027d6ad83287e, 0x3feb9f5464c5bffc, // -0.50486, 0.8632
+ 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242
+ 0xbfe03d837edff370, 0x3feb929b996a5b7f, // -0.50751, 0.86165
+ 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087
+ 0xbfe053264bad0483, 0x3feb85d1cbf52c02, // -0.51015, 0.86009
+ 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593
+ 0xbfe068bf0691c028, 0x3feb78f70449a34b, // -0.51279, 0.85852
+ 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773
+ 0xbfe07e4da23bc102, 0x3feb6c0b4a55ac17, // -0.51542, 0.85694
+ 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615
+ 0xbfe093d2115ee018, 0x3feb5f0ea611a532, // -0.51804, 0.85535
+ 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456
+ 0xbfe0a94c46b53d0b, 0x3feb52011f805c92, // -0.52067, 0.85376
+ 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296
+ 0xbfe0bebc34ff4646, 0x3feb44e2beaf0a61, // -0.52328, 0.85216
+ 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136
+ 0xbfe0d421cf03c12b, 0x3feb37b38bb54c09, // -0.5259, 0.85055
+ 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974
+ 0xbfe0e97d078fd23b, 0x3feb2a738eb51f33, // -0.5285, 0.84893
+ 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812
+ 0xbfe0fecdd1770537, 0x3feb1d22cfdadcc6, // -0.5311, 0.84731
+ 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649
+ 0xbfe114141f935545, 0x3feb0fc1575d33db, // -0.5337, 0.84567
+ 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485
+ 0xbfe1294fe4c5350a, 0x3feb024f2d7d24a9, // -0.53629, 0.84403
+ 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321
+ 0xbfe13e8113f396c1, 0x3feaf4cc5a85fb73, // -0.53888, 0.84238
+ 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155
+ 0xbfe153a7a00bf453, 0x3feae738e6cd4b67, // -0.54146, 0.84073
+ 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989
+ 0xbfe168c37c025764, 0x3fead994dab2e979, // -0.54404, 0.83906
+ 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822
+ 0xbfe17dd49ad16161, 0x3feacbe03ea0e73b, // -0.54661, 0.83739
+ 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655
+ 0xbfe192daef7a5386, 0x3feabe1b1b0b8dac, // -0.54918, 0.83571
+ 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486
+ 0xbfe1a7d66d0516e6, 0x3feab045787157ff, // -0.55174, 0.83402
+ 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317
+ 0xbfe1bcc706804467, 0x3feaa25f5f5aee60, // -0.55429, 0.83232
+ 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147
+ 0xbfe1d1acaf012cc2, 0x3fea9468d85b20ae, // -0.55685, 0.83062
+ 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976
+ 0xbfe1e68759a3e074, 0x3fea8661ec0ee133, // -0.55939, 0.8289
+ 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805
+ 0xbfe1fb56f98b37b8, 0x3fea784aa31d3f55, // -0.56193, 0.82718
+ 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632
+ 0xbfe2101b81e0da78, 0x3fea6a230637623b, // -0.56447, 0.82546
+ 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459
+ 0xbfe224d4e5d5482e, 0x3fea5beb1e188375, // -0.567, 0.82372
+ 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285
+ 0xbfe23983189fdfd5, 0x3fea4da2f385e997, // -0.56952, 0.82198
+ 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211
+ 0xbfe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // -0.57204, 0.82023
+ 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935
+ 0xbfe262bdb7b795a2, 0x3fea30e1fa4cbf81, // -0.57455, 0.81847
+ 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758
+ 0xbfe2774a0a961612, 0x3fea22693d62ccb9, // -0.57706, 0.8167
+ 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581
+ 0xbfe28bcaf96d94ba, 0x3fea13e0617e4ec7, // -0.57956, 0.81493
+ 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404
+ 0xbfe2a040779843fb, 0x3fea05476f967bb5, // -0.58206, 0.81314
+ 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225
+ 0xbfe2b4aa787764c4, 0x3fe9f69e70ac75bc, // -0.58455, 0.81135
+ 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046
+ 0xbfe2c908ef734e57, 0x3fe9e7e56dcb45bd, // -0.58704, 0.80956
+ 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866
+ 0xbfe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // -0.58952, 0.80775
+ 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685
+ 0xbfe2f1a30d86773a, 0x3fe9ca438080eadb, // -0.592, 0.80594
+ 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503
+ 0xbfe305de9b921a94, 0x3fe9bb5aa85f2098, // -0.59447, 0.80412
+ 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321
+ 0xbfe31a0e6da35e44, 0x3fe9ac61f0d4e247, // -0.59693, 0.80229
+ 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138
+ 0xbfe32e3277467d6b, 0x3fe99d59631e65d5, // -0.59939, 0.80046
+ 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954
+ 0xbfe3424aac0ef7d6, 0x3fe98e410881a600, // -0.60184, 0.79861
+ 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769
+ 0xbfe35656ff9799ae, 0x3fe97f18ea4e5c9e, // -0.60429, 0.79676
+ 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584
+ 0xbfe36a576582831b, 0x3fe96fe111ddfce0, // -0.60673, 0.79491
+ 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398
+ 0xbfe37e4bd1792fe2, 0x3fe960998893ad8c, // -0.60917, 0.79304
+ 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211
+ 0xbfe39234372c7f04, 0x3fe9514257dc4335, // -0.6116, 0.79117
+ 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023
+ 0xbfe3a6108a54ba58, 0x3fe941db892e3a65, // -0.61402, 0.78929
+ 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835
+ 0xbfe3b9e0beb19e18, 0x3fe932652609b1cf, // -0.61644, 0.7874
+ 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646
+ 0xbfe3cda4c80a6076, 0x3fe922df37f8646a, // -0.61885, 0.78551
+ 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456
+ 0xbfe3e15c9a2db922, 0x3fe91349c88da398, // -0.62126, 0.7836
+ 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265
+ 0xbfe3f50828f1e8d2, 0x3fe903a4e1665133, // -0.62366, 0.78169
+ 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074
+ 0xbfe408a76834c0c0, 0x3fe8f3f08c28d9ac, // -0.62606, 0.77978
+ 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882
+ 0xbfe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // -0.62845, 0.77785
+ 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689
+ 0xbfe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // -0.63083, 0.77592
+ 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495
+ 0xbfe4433ad0117b1d, 0x3fe8c47758fa71cb, // -0.63321, 0.77398
+ 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301
+ 0xbfe456a858917046, 0x3fe8b485aca2a468, // -0.63558, 0.77204
+ 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106
+ 0xbfe46a095557a0f1, 0x3fe8a484c3031d50, // -0.63794, 0.77008
+ 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691
+ 0xbfe47d5dba6fde01, 0x3fe89474a5fb0a84, // -0.6403, 0.76812
+ 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714
+ 0xbfe490a57bedbcdf, 0x3fe884555f72fa6b, // -0.64266, 0.76615
+ 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517
+ 0xbfe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // -0.645, 0.76418
+ 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319
+ 0xbfe4b70ee48fb869, 0x3fe863e97db3d95a, // -0.64735, 0.7622
+ 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612
+ 0xbfe4ca30740218a3, 0x3fe8539cf67c9029, // -0.64968, 0.76021
+ 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921
+ 0xbfe4dd453076b064, 0x3fe843416dc4cce2, // -0.65201, 0.75821
+ 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721
+ 0xbfe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // -0.65433, 0.75621
+ 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552
+ 0xbfe503480159ded2, 0x3fe8225d803964e5, // -0.65665, 0.75419
+ 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319
+ 0xbfe51635fe5601d7, 0x3fe811d52faf94dc, // -0.65896, 0.75218
+ 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117
+ 0xbfe52916f96f8388, 0x3fe8013e0638e795, // -0.66127, 0.75015
+ 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914
+ 0xbfe53beae7012abe, 0x3fe7f0980e113978, // -0.66356, 0.74812
+ 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471
+ 0xbfe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // -0.66586, 0.74608
+ 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506
+ 0xbfe5616b6b204e6e, 0x3fe7cf1fdacbf179, // -0.66814, 0.74403
+ 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301
+ 0xbfe57417ea8bb75c, 0x3fe7be4db453a27c, // -0.67042, 0.74198
+ 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095
+ 0xbfe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // -0.67269, 0.73992
+ 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889
+ 0xbfe599492a81ffbc, 0x3fe79c7d8198e56e, // -0.67496, 0.73785
+ 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682
+ 0xbfe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // -0.67722, 0.73578
+ 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474
+ 0xbfe5be451f8bf980, 0x3fe77a730cbb9100, // -0.67948, 0.7337
+ 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265
+ 0xbfe5d0af016ed1d4, 0x3fe7695813b9b594, // -0.68172, 0.73161
+ 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056
+ 0xbfe5e30b6e6877f3, 0x3fe7582ea9b9a329, // -0.68397, 0.72951
+ 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846
+ 0xbfe5f55a5b2576f8, 0x3fe746f6d9516d59, // -0.6862, 0.72741
+ 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636
+ 0xbfe6079bbc5aadfa, 0x3fe735b0ad2009b2, // -0.68843, 0.7253
+ 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425
+ 0xbfe619cf86c55702, 0x3fe7245c2fcd492a, // -0.69065, 0.72319
+ 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213
+ 0xbfe62bf5af2b0dfd, 0x3fe712f96c09d18d, // -0.69287, 0.72107
+ 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72
+ 0xbfe63e0e2a59d7aa, 0x3fe701886c8f16e6, // -0.69508, 0.71894
+ 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787
+ 0xbfe65018ed28287f, 0x3fe6f0093c1f54de, // -0.69728, 0.7168
+ 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573
+ 0xbfe66215ec74eb91, 0x3fe6de7be585881d, // -0.69947, 0.71466
+ 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358
+ 0xbfe674051d27896c, 0x3fe6cce07395679f, // -0.70166, 0.71251
+ 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143
+ 0xbfe685e6742feeef, 0x3fe6bb36f12b5e06, // -0.70385, 0.71035
+ 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927
+ 0xbfe697b9e686941c, 0x3fe6a97f692c82ea, // -0.70602, 0.70819
+ 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711
+ 0xbfe6a97f692c82ea, 0x3fe697b9e686941c, // -0.70819, 0.70602
+ 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493
+ 0xbfe6bb36f12b5e06, 0x3fe685e6742feeef, // -0.71035, 0.70385
+ 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275
+ 0xbfe6cce07395679f, 0x3fe674051d27896c, // -0.71251, 0.70166
+ 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057
+ 0xbfe6de7be585881d, 0x3fe66215ec74eb91, // -0.71466, 0.69947
+ 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838
+ 0xbfe6f0093c1f54de, 0x3fe65018ed28287f, // -0.7168, 0.69728
+ 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618
+ 0xbfe701886c8f16e6, 0x3fe63e0e2a59d7aa, // -0.71894, 0.69508
+ 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397
+ 0xbfe712f96c09d18d, 0x3fe62bf5af2b0dfd, // -0.72107, 0.69287
+ 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176
+ 0xbfe7245c2fcd492a, 0x3fe619cf86c55702, // -0.72319, 0.69065
+ 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954
+ 0xbfe735b0ad2009b2, 0x3fe6079bbc5aadfa, // -0.7253, 0.68843
+ 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732
+ 0xbfe746f6d9516d59, 0x3fe5f55a5b2576f8, // -0.72741, 0.6862
+ 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508
+ 0xbfe7582ea9b9a329, 0x3fe5e30b6e6877f3, // -0.72951, 0.68397
+ 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285
+ 0xbfe7695813b9b594, 0x3fe5d0af016ed1d4, // -0.73161, 0.68172
+ 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806
+ 0xbfe77a730cbb9100, 0x3fe5be451f8bf980, // -0.7337, 0.67948
+ 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835
+ 0xbfe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // -0.73578, 0.67722
+ 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609
+ 0xbfe79c7d8198e56e, 0x3fe599492a81ffbc, // -0.73785, 0.67496
+ 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383
+ 0xbfe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // -0.73992, 0.67269
+ 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156
+ 0xbfe7be4db453a27c, 0x3fe57417ea8bb75c, // -0.74198, 0.67042
+ 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928
+ 0xbfe7cf1fdacbf179, 0x3fe5616b6b204e6e, // -0.74403, 0.66814
+ 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667
+ 0xbfe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // -0.74608, 0.66586
+ 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471
+ 0xbfe7f0980e113978, 0x3fe53beae7012abe, // -0.74812, 0.66356
+ 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242
+ 0xbfe8013e0638e795, 0x3fe52916f96f8388, // -0.75015, 0.66127
+ 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011
+ 0xbfe811d52faf94dc, 0x3fe51635fe5601d7, // -0.75218, 0.65896
+ 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781
+ 0xbfe8225d803964e5, 0x3fe503480159ded2, // -0.75419, 0.65665
+ 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549
+ 0xbfe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // -0.75621, 0.65433
+ 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317
+ 0xbfe843416dc4cce2, 0x3fe4dd453076b064, // -0.75821, 0.65201
+ 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085
+ 0xbfe8539cf67c9029, 0x3fe4ca30740218a3, // -0.76021, 0.64968
+ 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851
+ 0xbfe863e97db3d95a, 0x3fe4b70ee48fb869, // -0.7622, 0.64735
+ 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618
+ 0xbfe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // -0.76418, 0.645
+ 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383
+ 0xbfe884555f72fa6b, 0x3fe490a57bedbcdf, // -0.76615, 0.64266
+ 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148
+ 0xbfe89474a5fb0a84, 0x3fe47d5dba6fde01, // -0.76812, 0.6403
+ 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912
+ 0xbfe8a484c3031d50, 0x3fe46a095557a0f1, // -0.77008, 0.63794
+ 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676
+ 0xbfe8b485aca2a468, 0x3fe456a858917046, // -0.77204, 0.63558
+ 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439
+ 0xbfe8c47758fa71cb, 0x3fe4433ad0117b1d, // -0.77398, 0.63321
+ 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202
+ 0xbfe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // -0.77592, 0.63083
+ 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964
+ 0xbfe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // -0.77785, 0.62845
+ 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725
+ 0xbfe8f3f08c28d9ac, 0x3fe408a76834c0c0, // -0.77978, 0.62606
+ 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486
+ 0xbfe903a4e1665133, 0x3fe3f50828f1e8d2, // -0.78169, 0.62366
+ 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246
+ 0xbfe91349c88da398, 0x3fe3e15c9a2db922, // -0.7836, 0.62126
+ 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006
+ 0xbfe922df37f8646a, 0x3fe3cda4c80a6076, // -0.78551, 0.61885
+ 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765
+ 0xbfe932652609b1cf, 0x3fe3b9e0beb19e18, // -0.7874, 0.61644
+ 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523
+ 0xbfe941db892e3a65, 0x3fe3a6108a54ba58, // -0.78929, 0.61402
+ 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281
+ 0xbfe9514257dc4335, 0x3fe39234372c7f04, // -0.79117, 0.6116
+ 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038
+ 0xbfe960998893ad8c, 0x3fe37e4bd1792fe2, // -0.79304, 0.60917
+ 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795
+ 0xbfe96fe111ddfce0, 0x3fe36a576582831b, // -0.79491, 0.60673
+ 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551
+ 0xbfe97f18ea4e5c9e, 0x3fe35656ff9799ae, // -0.79676, 0.60429
+ 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307
+ 0xbfe98e410881a600, 0x3fe3424aac0ef7d6, // -0.79861, 0.60184
+ 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062
+ 0xbfe99d59631e65d5, 0x3fe32e3277467d6b, // -0.80046, 0.59939
+ 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816
+ 0xbfe9ac61f0d4e247, 0x3fe31a0e6da35e44, // -0.80229, 0.59693
+ 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957
+ 0xbfe9bb5aa85f2098, 0x3fe305de9b921a94, // -0.80412, 0.59447
+ 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323
+ 0xbfe9ca438080eadb, 0x3fe2f1a30d86773a, // -0.80594, 0.592
+ 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076
+ 0xbfe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // -0.80775, 0.58952
+ 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828
+ 0xbfe9e7e56dcb45bd, 0x3fe2c908ef734e57, // -0.80956, 0.58704
+ 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858
+ 0xbfe9f69e70ac75bc, 0x3fe2b4aa787764c4, // -0.81135, 0.58455
+ 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331
+ 0xbfea05476f967bb5, 0x3fe2a040779843fb, // -0.81314, 0.58206
+ 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081
+ 0xbfea13e0617e4ec7, 0x3fe28bcaf96d94ba, // -0.81493, 0.57956
+ 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831
+ 0xbfea22693d62ccb9, 0x3fe2774a0a961612, // -0.8167, 0.57706
+ 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581
+ 0xbfea30e1fa4cbf81, 0x3fe262bdb7b795a2, // -0.81847, 0.57455
+ 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733
+ 0xbfea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // -0.82023, 0.57204
+ 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078
+ 0xbfea4da2f385e997, 0x3fe23983189fdfd5, // -0.82198, 0.56952
+ 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826
+ 0xbfea5beb1e188375, 0x3fe224d4e5d5482e, // -0.82372, 0.567
+ 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573
+ 0xbfea6a230637623b, 0x3fe2101b81e0da78, // -0.82546, 0.56447
+ 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632
+ 0xbfea784aa31d3f55, 0x3fe1fb56f98b37b8, // -0.82718, 0.56193
+ 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066
+ 0xbfea8661ec0ee133, 0x3fe1e68759a3e074, // -0.8289, 0.55939
+ 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812
+ 0xbfea9468d85b20ae, 0x3fe1d1acaf012cc2, // -0.83062, 0.55685
+ 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557
+ 0xbfeaa25f5f5aee60, 0x3fe1bcc706804467, // -0.83232, 0.55429
+ 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302
+ 0xbfeab045787157ff, 0x3fe1a7d66d0516e6, // -0.83402, 0.55174
+ 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046
+ 0xbfeabe1b1b0b8dac, 0x3fe192daef7a5386, // -0.83571, 0.54918
+ 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789
+ 0xbfeacbe03ea0e73b, 0x3fe17dd49ad16161, // -0.83739, 0.54661
+ 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532
+ 0xbfead994dab2e979, 0x3fe168c37c025764, // -0.83906, 0.54404
+ 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275
+ 0xbfeae738e6cd4b67, 0x3fe153a7a00bf453, // -0.84073, 0.54146
+ 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017
+ 0xbfeaf4cc5a85fb73, 0x3fe13e8113f396c1, // -0.84238, 0.53888
+ 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759
+ 0xbfeb024f2d7d24a9, 0x3fe1294fe4c5350a, // -0.84403, 0.53629
+ 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535
+ 0xbfeb0fc1575d33db, 0x3fe114141f935545, // -0.84567, 0.5337
+ 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324
+ 0xbfeb1d22cfdadcc6, 0x3fe0fecdd1770537, // -0.84731, 0.5311
+ 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298
+ 0xbfeb2a738eb51f33, 0x3fe0e97d078fd23b, // -0.84893, 0.5285
+ 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272
+ 0xbfeb37b38bb54c09, 0x3fe0d421cf03c12b, // -0.85055, 0.5259
+ 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459
+ 0xbfeb44e2beaf0a61, 0x3fe0bebc34ff4646, // -0.85216, 0.52328
+ 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198
+ 0xbfeb52011f805c92, 0x3fe0a94c46b53d0b, // -0.85376, 0.52067
+ 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936
+ 0xbfeb5f0ea611a532, 0x3fe093d2115ee018, // -0.85535, 0.51804
+ 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673
+ 0xbfeb6c0b4a55ac17, 0x3fe07e4da23bc102, // -0.85694, 0.51542
+ 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141
+ 0xbfeb78f70449a34b, 0x3fe068bf0691c028, // -0.85852, 0.51279
+ 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147
+ 0xbfeb85d1cbf52c02, 0x3fe053264bad0483, // -0.86009, 0.51015
+ 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883
+ 0xbfeb929b996a5b7f, 0x3fe03d837edff370, // -0.86165, 0.50751
+ 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619
+ 0xbfeb9f5464c5bffc, 0x3fe027d6ad83287e, // -0.8632, 0.50486
+ 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354
+ 0xbfebabfc262e6586, 0x3fe0121fe4f56d2c, // -0.86474, 0.50221
+ 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089
+ 0xbfebb892d5d5dad5, 0x3fdff8be6537615e, // -0.86628, 0.49956
+ 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823
+ 0xbfebc5186bf8361d, 0x3fdfcd2947c1ff57, // -0.86781, 0.4969
+ 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557
+ 0xbfebd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // -0.86933, 0.49423
+ 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929
+ 0xbfebddf02cd2b983, 0x3fdf75c44e26a852, // -0.87084, 0.49156
+ 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023
+ 0xbfebea424837de6d, 0x3fdf49f4a7e97729, // -0.87235, 0.48889
+ 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755
+ 0xbfebf6832b71ec5b, 0x3fdf1e11b4bbc35c, // -0.87384, 0.48621
+ 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487
+ 0xbfec02b2cef1e641, 0x3fdef21b8fafd3b5, // -0.87533, 0.48353
+ 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218
+ 0xbfec0ed12b3372e9, 0x3fdec61253e3c61b, // -0.87681, 0.48084
+ 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949
+ 0xbfec1ade38bce19b, 0x3fde99f61c817eda, // -0.87828, 0.47815
+ 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768
+ 0xbfec26d9f01f2eaf, 0x3fde6dc704be97e2, // -0.87974, 0.47545
+ 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741
+ 0xbfec32c449f60831, 0x3fde418527dc4ffa, // -0.8812, 0.47275
+ 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714
+ 0xbfec3e9d3ee7d262, 0x3fde1530a12779f4, // -0.88264, 0.47004
+ 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869
+ 0xbfec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // -0.88408, 0.46733
+ 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598
+ 0xbfec561adceb743e, 0x3fddbc5003b2edf8, // -0.88551, 0.46462
+ 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326
+ 0xbfec61bf777fcc48, 0x3fdd8fc423c62a25, // -0.88693, 0.4619
+ 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054
+ 0xbfec6d5290341eb2, 0x3fdd632607ac9aa9, // -0.88835, 0.45918
+ 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781
+ 0xbfec78d41fe4a267, 0x3fdd3675caebf962, // -0.88975, 0.45645
+ 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508
+ 0xbfec84441f785f61, 0x3fdd09b389152ec1, // -0.89115, 0.45372
+ 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235
+ 0xbfec8fa287e13305, 0x3fdcdcdf5dc440ce, // -0.89253, 0.45098
+ 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961
+ 0xbfec9aef521bd480, 0x3fdcaff964a0421d, // -0.89391, 0.44824
+ 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687
+ 0xbfeca62a772fd919, 0x3fdc8301b95b40c2, // -0.89528, 0.4455
+ 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412
+ 0xbfecb153f02fb87d, 0x3fdc55f877b23537, // -0.89665, 0.44275
+ 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137
+ 0xbfecbc6bb638d10b, 0x3fdc28ddbb6cf145, // -0.898, 0.43999
+ 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862
+ 0xbfecc771c2736c09, 0x3fdbfbb1a05e0edc, // -0.89935, 0.43724
+ 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586
+ 0xbfecd2660e12c1e6, 0x3fdbce744262deee, // -0.90068, 0.43448
+ 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309
+ 0xbfecdd489254fe65, 0x3fdba125bd63583e, // -0.90201, 0.43171
+ 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033
+ 0xbfece819488344ce, 0x3fdb73c62d520624, // -0.90333, 0.42894
+ 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756
+ 0xbfecf2d829f1b40e, 0x3fdb4655ae2bf757, // -0.90464, 0.42617
+ 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478
+ 0xbfecfd852fff6ad4, 0x3fdb18d45bf8aca6, // -0.90595, 0.42339
+ 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422
+ 0xbfed082054168bac, 0x3fdaeb4252ca07ab, // -0.90724, 0.42061
+ 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922
+ 0xbfed12a98fac410c, 0x3fdabd9faebc3980, // -0.90853, 0.41782
+ 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643
+ 0xbfed1d20dc40c15c, 0x3fda8fec8bf5b166, // -0.90981, 0.41503
+ 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364
+ 0xbfed2786335f52fc, 0x3fda622906a70b63, // -0.91107, 0.41224
+ 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084
+ 0xbfed31d98e9e503a, 0x3fda34553b0afee5, // -0.91234, 0.40944
+ 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804
+ 0xbfed3c1ae79f2b4e, 0x3fda067145664d57, // -0.91359, 0.40664
+ 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524
+ 0xbfed464a380e7242, 0x3fd9d87d4207b0ab, // -0.91483, 0.40384
+ 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243
+ 0xbfed506779a3d2d9, 0x3fd9aa794d47c9ee, // -0.91606, 0.40103
+ 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962
+ 0xbfed5a72a6221e73, 0x3fd97c6583890fc2, // -0.91729, 0.39822
+ 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681
+ 0xbfed646bb7574de5, 0x3fd94e420137bce3, // -0.91851, 0.3954
+ 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399
+ 0xbfed6e52a71c8547, 0x3fd9200ee2c9be97, // -0.91972, 0.39258
+ 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117
+ 0xbfed78276f5617c6, 0x3fd8f1cc44bea329, // -0.92092, 0.38976
+ 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835
+ 0xbfed81ea09f38b63, 0x3fd8c37a439f884f, // -0.92211, 0.38693
+ 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552
+ 0xbfed8b9a70ef9cb4, 0x3fd89518fbff098e, // -0.92329, 0.3841
+ 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268
+ 0xbfed95389e50429b, 0x3fd866a88a792ea0, // -0.92447, 0.38127
+ 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985
+ 0xbfed9ec48c26b1f3, 0x3fd838290bb359c8, // -0.92563, 0.37843
+ 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701
+ 0xbfeda83e348f613b, 0x3fd8099a9c5c362d, // -0.92679, 0.37559
+ 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416
+ 0xbfedb1a591b20c38, 0x3fd7dafd592ba621, // -0.92794, 0.37274
+ 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132
+ 0xbfedbafa9dc1b78d, 0x3fd7ac515ee2b172, // -0.92907, 0.36989
+ 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847
+ 0xbfedc43d52fcb453, 0x3fd77d96ca4b73a6, // -0.93021, 0.36704
+ 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561
+ 0xbfedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // -0.93133, 0.36418
+ 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276
+ 0xbfedd68ba2267a25, 0x3fd71ff6458782ec, // -0.93244, 0.36133
+ 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599
+ 0xbfeddf9730ca837b, 0x3fd6f1108f1bc9c5, // -0.93354, 0.35846
+ 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703
+ 0xbfede890520465ce, 0x3fd6c21cb1e39771, // -0.93464, 0.3556
+ 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416
+ 0xbfedf177004b2534, 0x3fd6931acad55f51, // -0.93573, 0.35273
+ 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129
+ 0xbfedfa4b3621271d, 0x3fd6640af6f03d9e, // -0.9368, 0.34986
+ 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842
+ 0xbfee030cee1435b8, 0x3fd634ed533be58e, // -0.93787, 0.34698
+ 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554
+ 0xbfee0bbc22bd8349, 0x3fd605c1fcc88f63, // -0.93893, 0.3441
+ 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266
+ 0xbfee1458cec1ad83, 0x3fd5d68910aee686, // -0.93998, 0.34122
+ 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978
+ 0xbfee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // -0.94103, 0.33833
+ 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689
+ 0xbfee255a77a63bb8, 0x3fd577eeec151e47, // -0.94206, 0.33545
+ 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334
+ 0xbfee2dbf6a0911d9, 0x3fd5488dedeff3be, // -0.94308, 0.33255
+ 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111
+ 0xbfee3611becbaf69, 0x3fd5191fceda3c35, // -0.9441, 0.32966
+ 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821
+ 0xbfee3e5170cbfc46, 0x3fd4e9a4ac15d520, // -0.94511, 0.32676
+ 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531
+ 0xbfee467e7af35f23, 0x3fd4ba1ca2eca31c, // -0.94611, 0.32386
+ 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241
+ 0xbfee4e98d836c0af, 0x3fd48a87d0b07fd7, // -0.94709, 0.32096
+ 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195
+ 0xbfee56a083968eb1, 0x3fd45ae652bb2800, // -0.94807, 0.31805
+ 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659
+ 0xbfee5e95781ebf1c, 0x3fd42b38466e2928, // -0.94905, 0.31514
+ 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368
+ 0xbfee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // -0.95001, 0.31222
+ 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077
+ 0xbfee6e472911da27, 0x3fd3cbb6f87a146e, // -0.95096, 0.30931
+ 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785
+ 0xbfee7603dbce74e9, 0x3fd39be3f1bc8aef, // -0.95191, 0.30639
+ 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493
+ 0xbfee7dadc456d850, 0x3fd36c04d27a4edf, // -0.95284, 0.30347
+ 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201
+ 0xbfee8544ddf0d075, 0x3fd33c19b83af207, // -0.95377, 0.30054
+ 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908
+ 0xbfee8cc923edc388, 0x3fd30c22c08d6a13, // -0.95469, 0.29762
+ 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615
+ 0xbfee943a91aab4b4, 0x3fd2dc200907fe51, // -0.95559, 0.29469
+ 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322
+ 0xbfee9b99229046f8, 0x3fd2ac11af483572, // -0.95649, 0.29175
+ 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028
+ 0xbfeea2e4d212c000, 0x3fd27bf7d0f2c346, // -0.95738, 0.28882
+ 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735
+ 0xbfeeaa1d9bb20af3, 0x3fd24bd28bb37672, // -0.95827, 0.28588
+ 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441
+ 0xbfeeb1437af9bb34, 0x3fd21ba1fd3d2623, // -0.95914, 0.28294
+ 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146
+ 0xbfeeb8566b810f2a, 0x3fd1eb6643499fbb, // -0.96, 0.27999
+ 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852
+ 0xbfeebf5668eaf2ef, 0x3fd1bb1f7b999480, // -0.96086, 0.27705
+ 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557
+ 0xbfeec6436ee60309, 0x3fd18acdc3f4873a, // -0.9617, 0.2741
+ 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262
+ 0xbfeecd1d792c8f10, 0x3fd15a713a28b9d9, // -0.96254, 0.27115
+ 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967
+ 0xbfeed3e483849c51, 0x3fd12a09fc0b1b12, // -0.96337, 0.26819
+ 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671
+ 0xbfeeda9889bfe86a, 0x3fd0f998277733f7, // -0.96418, 0.26523
+ 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375
+ 0xbfeee13987bbebdc, 0x3fd0c91bda4f158d, // -0.96499, 0.26227
+ 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079
+ 0xbfeee7c77961dc9e, 0x3fd09895327b465e, // -0.96579, 0.25931
+ 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783
+ 0xbfeeee425aa6b09a, 0x3fd068044deab002, // -0.96658, 0.25635
+ 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487
+ 0xbfeef4aa278b2032, 0x3fd037694a928cac, // -0.96737, 0.25338
+ 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519
+ 0xbfeefafedc1ba8b7, 0x3fd006c4466e54af, // -0.96814, 0.25041
+ 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893
+ 0xbfef014074708ed3, 0x3fcfac2abeff57ff, // -0.9689, 0.24744
+ 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596
+ 0xbfef076eecade0fa, 0x3fcf4ab9679c9f5c, // -0.96966, 0.24447
+ 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298
+ 0xbfef0d8a410379c5, 0x3fcee934c2d006c7, // -0.9704, 0.24149
+ 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24
+ 0xbfef13926dad024e, 0x3fce879d0cc0fdaf, // -0.97114, 0.23851
+ 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702
+ 0xbfef19876ef1f486, 0x3fce25f281a2b684, // -0.97187, 0.23553
+ 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404
+ 0xbfef1f6941259d7a, 0x3fcdc4355db40195, // -0.97258, 0.23255
+ 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106
+ 0xbfef2537e0a71f9f, 0x3fcd6265dd3f27e3, // -0.97329, 0.22957
+ 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807
+ 0xbfef2af349e17507, 0x3fcd00843c99c5f9, // -0.97399, 0.22658
+ 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508
+ 0xbfef309b794b719f, 0x3fcc9e90b824a6a9, // -0.97468, 0.22359
+ 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209
+ 0xbfef36306b67c556, 0x3fcc3c8b8c4b9dd7, // -0.97536, 0.2206
+ 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191
+ 0xbfef3bb21cc4fe47, 0x3fcbda74f5856330, // -0.97604, 0.2176
+ 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611
+ 0xbfef412089fd8adc, 0x3fcb784d30536cda, // -0.9767, 0.21461
+ 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311
+ 0xbfef467bafb7bbe0, 0x3fcb16147941ca2a, // -0.97735, 0.21161
+ 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011
+ 0xbfef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // -0.978, 0.20861
+ 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711
+ 0xbfef50f81785c6b9, 0x3fca517127e3dabc, // -0.97863, 0.20561
+ 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411
+ 0xbfef56195321c090, 0x3fc9ef0706e35a35, // -0.97926, 0.20261
+ 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011
+ 0xbfef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // -0.97988, 0.1996
+ 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981
+ 0xbfef6021c9f148c2, 0x3fc92a0303c8194f, // -0.98048, 0.19659
+ 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509
+ 0xbfef6508fef47bd5, 0x3fc8c7699b34ca7e, // -0.98108, 0.19359
+ 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208
+ 0xbfef69dcd652f5de, 0x3fc864c0e9b2b6cf, // -0.98167, 0.19057
+ 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907
+ 0xbfef6e9d4d1262ca, 0x3fc802092c1d744b, // -0.98225, 0.18756
+ 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606
+ 0xbfef734a60446279, 0x3fc79f429f59e11d, // -0.98282, 0.18455
+ 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304
+ 0xbfef77e40d068a90, 0x3fc73c6d8055fe0a, // -0.98339, 0.18153
+ 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002
+ 0xbfef7c6a50826840, 0x3fc6d98a0c08c8da, // -0.98394, 0.17851
+ 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177
+ 0xbfef80dd27ed8204, 0x3fc676987f7216b8, // -0.98448, 0.17549
+ 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398
+ 0xbfef853c9089595e, 0x3fc61399179a6e94, // -0.98501, 0.17247
+ 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096
+ 0xbfef898887a36c84, 0x3fc5b08c1192e381, // -0.98554, 0.16945
+ 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794
+ 0xbfef8dc10a95380d, 0x3fc54d71aa74ef02, // -0.98605, 0.16643
+ 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491
+ 0xbfef91e616c43891, 0x3fc4ea4a1f624b61, // -0.98656, 0.1634
+ 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189
+ 0xbfef95f7a9a1ec47, 0x3fc48715ad84cdf5, // -0.98706, 0.16037
+ 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886
+ 0xbfef99f5c0abd496, 0x3fc423d4920e4166, // -0.98754, 0.15734
+ 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583
+ 0xbfef9de0596b77a3, 0x3fc3c0870a383ff6, // -0.98802, 0.15431
+ 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528
+ 0xbfefa1b7717661d5, 0x3fc35d2d53440db2, // -0.98849, 0.15128
+ 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976
+ 0xbfefa57b066e2754, 0x3fc2f9c7aa7a72af, // -0.98895, 0.14825
+ 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673
+ 0xbfefa92b1600657c, 0x3fc296564d2b953e, // -0.9894, 0.14521
+ 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437
+ 0xbfefacc79de6c44f, 0x3fc232d978aed413, // -0.98984, 0.14218
+ 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066
+ 0xbfefb0509be6f7db, 0x3fc1cf516a62a077, // -0.99027, 0.13914
+ 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762
+ 0xbfefb3c60dd2c199, 0x3fc16bbe5fac5865, // -0.9907, 0.1361
+ 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458
+ 0xbfefb727f187f1c7, 0x3fc1082095f820b0, // -0.99111, 0.13306
+ 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154
+ 0xbfefba7644f068b5, 0x3fc0a4784ab8bf1d, // -0.99151, 0.13002
+ 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285
+ 0xbfefbdb106021816, 0x3fc040c5bb67747e, // -0.99191, 0.12698
+ 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545
+ 0xbfefc0d832bf043a, 0x3fbfba124b07ad85, // -0.99229, 0.12393
+ 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241
+ 0xbfefc3ebc935454c, 0x3fbef2858d27561b, // -0.99267, 0.12089
+ 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937
+ 0xbfefc6ebc77f0887, 0x3fbe2ae5b8457f77, // -0.99303, 0.11784
+ 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632
+ 0xbfefc9d82bc2915e, 0x3fbd633347858ce4, // -0.99339, 0.11479
+ 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327
+ 0xbfefccb0f4323aa3, 0x3fbc9b6eb6165c42, // -0.99374, 0.11175
+ 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022
+ 0xbfefcf761f0c77a3, 0x3fbbd3987f31fa0e, // -0.99407, 0.1087
+ 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717
+ 0xbfefd227aa9bd53b, 0x3fbb0bb11e1d5559, // -0.9944, 0.10565
+ 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412
+ 0xbfefd4c59536fae4, 0x3fba43b90e27f3c4, // -0.99472, 0.1026
+ 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107
+ 0xbfefd74fdd40abbf, 0x3fb97bb0caaba56f, // -0.99503, 0.099544
+ 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017
+ 0xbfefd9c68127c78c, 0x3fb8b398cf0c38e0, // -0.99533, 0.09649
+ 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963
+ 0xbfefdc297f674ba9, 0x3fb7eb7196b72ee4, // -0.99563, 0.093436
+ 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909
+ 0xbfefde78d68653fd, 0x3fb7233b9d236e71, // -0.99591, 0.090381
+ 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854
+ 0xbfefe0b485181be3, 0x3fb65af75dd0f87b, // -0.99618, 0.087326
+ 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797
+ 0xbfefe2dc89bbff08, 0x3fb592a554489bc8, // -0.99644, 0.084269
+ 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274
+ 0xbfefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // -0.9967, 0.081211
+ 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682
+ 0xbfefe6f18ff42c84, 0x3fb401d9d0e3a507, // -0.99694, 0.078153
+ 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624
+ 0xbfefe8de8f03d75c, 0x3fb339614e41ffa5, // -0.99718, 0.075094
+ 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565
+ 0xbfefeab7df1c6005, 0x3fb270dcefdfc45b, // -0.9974, 0.072035
+ 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505
+ 0xbfefec7d7f19cffc, 0x3fb1a84d316d4f8a, // -0.99762, 0.068974
+ 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444
+ 0xbfefee2f6de455ba, 0x3fb0dfb28ea201e6, // -0.99783, 0.065913
+ 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383
+ 0xbfefefcdaa704562, 0x3fb0170d833bf421, // -0.99802, 0.062852
+ 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321
+ 0xbfeff15833be1965, 0x3fae9cbd15ff5527, // -0.99821, 0.05979
+ 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258
+ 0xbfeff2cf08da7321, 0x3fad0b4c436f91d0, // -0.99839, 0.056727
+ 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195
+ 0xbfeff43228de1b77, 0x3fab79c986698b78, // -0.99856, 0.053664
+ 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132
+ 0xbfeff58192ee0358, 0x3fa9e835d6993c87, // -0.99872, 0.0506
+ 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068
+ 0xbfeff6bd463b444d, 0x3fa856922bb513c1, // -0.99887, 0.047535
+ 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003
+ 0xbfeff7e5420320f9, 0x3fa6c4df7d7d5b84, // -0.99901, 0.044471
+ 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938
+ 0xbfeff8f9858f058b, 0x3fa5331ec3bba0eb, // -0.99914, 0.041406
+ 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873
+ 0xbfeff9fa10348837, 0x3fa3a150f6421afc, // -0.99926, 0.03834
+ 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807
+ 0xbfeffae6e1556998, 0x3fa20f770ceb11c6, // -0.99938, 0.035274
+ 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741
+ 0xbfeffbbff85f9515, 0x3fa07d91ff984580, // -0.99948, 0.032208
+ 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675
+ 0xbfeffc8554cd213a, 0x3f9dd7458c64ab39, // -0.99958, 0.029142
+ 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608
+ 0xbfeffd36f624500c, 0x3f9ab354b1504fca, // -0.99966, 0.026075
+ 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541
+ 0xbfeffdd4dbf78f52, 0x3f978f535ddc9f03, // -0.99974, 0.023008
+ 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474
+ 0xbfeffe5f05e578db, 0x3f946b4381fce81c, // -0.9998, 0.01994
+ 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407
+ 0xbfeffed57398d2b7, 0x3f9147270dad7132, // -0.99986, 0.016873
+ 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339
+ 0xbfefff3824c88f6f, 0x3f8c45ffe1e48ad9, // -0.9999, 0.013805
+ 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272
+ 0xbfefff871937ce2f, 0x3f85fda037ac05e0, // -0.99994, 0.010738
+ 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038
+ 0xbfefffc250b5daef, 0x3f7f6a65f9a2a3c5, // -0.99997, 0.0076698
+ 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359
+ 0xbfefffe9cb1e2e8d, 0x3f72d97822f996bc, // -0.99999, 0.0046019
+ 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068
+ 0xbfeffffd88586ee6, 0x3f5921faaee6472d, // -1, 0.001534
+ 0xbff0000000000000, 0x0000000000000000, // -1, 0
+ 0xbfeffffd88586ee6, 0xbf5921faaee6472d, // -1, -0.001534
+ 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068
+ 0xbfefffe9cb1e2e8d, 0xbf72d97822f996bc, // -0.99999,-0.0046019
+ 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359
+ 0xbfefffc250b5daef, 0xbf7f6a65f9a2a3c5, // -0.99997,-0.0076698
+ 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038
+ 0xbfefff871937ce2f, 0xbf85fda037ac05e0, // -0.99994, -0.010738
+ 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272
+ 0xbfefff3824c88f6f, 0xbf8c45ffe1e48ad9, // -0.9999, -0.013805
+ 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339
+ 0xbfeffed57398d2b7, 0xbf9147270dad7132, // -0.99986, -0.016873
+ 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407
+ 0xbfeffe5f05e578db, 0xbf946b4381fce81c, // -0.9998, -0.01994
+ 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474
+ 0xbfeffdd4dbf78f52, 0xbf978f535ddc9f03, // -0.99974, -0.023008
+ 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541
+ 0xbfeffd36f624500c, 0xbf9ab354b1504fca, // -0.99966, -0.026075
+ 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608
+ 0xbfeffc8554cd213a, 0xbf9dd7458c64ab39, // -0.99958, -0.029142
+ 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675
+ 0xbfeffbbff85f9515, 0xbfa07d91ff984580, // -0.99948, -0.032208
+ 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741
+ 0xbfeffae6e1556998, 0xbfa20f770ceb11c6, // -0.99938, -0.035274
+ 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807
+ 0xbfeff9fa10348837, 0xbfa3a150f6421afc, // -0.99926, -0.03834
+ 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873
+ 0xbfeff8f9858f058b, 0xbfa5331ec3bba0eb, // -0.99914, -0.041406
+ 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938
+ 0xbfeff7e5420320f9, 0xbfa6c4df7d7d5b84, // -0.99901, -0.044471
+ 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003
+ 0xbfeff6bd463b444d, 0xbfa856922bb513c1, // -0.99887, -0.047535
+ 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068
+ 0xbfeff58192ee0358, 0xbfa9e835d6993c87, // -0.99872, -0.0506
+ 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132
+ 0xbfeff43228de1b77, 0xbfab79c986698b78, // -0.99856, -0.053664
+ 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195
+ 0xbfeff2cf08da7321, 0xbfad0b4c436f91d0, // -0.99839, -0.056727
+ 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258
+ 0xbfeff15833be1965, 0xbfae9cbd15ff5527, // -0.99821, -0.05979
+ 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321
+ 0xbfefefcdaa704562, 0xbfb0170d833bf421, // -0.99802, -0.062852
+ 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383
+ 0xbfefee2f6de455ba, 0xbfb0dfb28ea201e6, // -0.99783, -0.065913
+ 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444
+ 0xbfefec7d7f19cffc, 0xbfb1a84d316d4f8a, // -0.99762, -0.068974
+ 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505
+ 0xbfefeab7df1c6005, 0xbfb270dcefdfc45b, // -0.9974, -0.072035
+ 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565
+ 0xbfefe8de8f03d75c, 0xbfb339614e41ffa5, // -0.99718, -0.075094
+ 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624
+ 0xbfefe6f18ff42c84, 0xbfb401d9d0e3a507, // -0.99694, -0.078153
+ 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682
+ 0xbfefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // -0.9967, -0.081211
+ 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274
+ 0xbfefe2dc89bbff08, 0xbfb592a554489bc8, // -0.99644, -0.084269
+ 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797
+ 0xbfefe0b485181be3, 0xbfb65af75dd0f87b, // -0.99618, -0.087326
+ 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854
+ 0xbfefde78d68653fd, 0xbfb7233b9d236e71, // -0.99591, -0.090381
+ 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909
+ 0xbfefdc297f674ba9, 0xbfb7eb7196b72ee4, // -0.99563, -0.093436
+ 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963
+ 0xbfefd9c68127c78c, 0xbfb8b398cf0c38e0, // -0.99533, -0.09649
+ 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017
+ 0xbfefd74fdd40abbf, 0xbfb97bb0caaba56f, // -0.99503, -0.099544
+ 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107
+ 0xbfefd4c59536fae4, 0xbfba43b90e27f3c4, // -0.99472, -0.1026
+ 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412
+ 0xbfefd227aa9bd53b, 0xbfbb0bb11e1d5559, // -0.9944, -0.10565
+ 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717
+ 0xbfefcf761f0c77a3, 0xbfbbd3987f31fa0e, // -0.99407, -0.1087
+ 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022
+ 0xbfefccb0f4323aa3, 0xbfbc9b6eb6165c42, // -0.99374, -0.11175
+ 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327
+ 0xbfefc9d82bc2915e, 0xbfbd633347858ce4, // -0.99339, -0.11479
+ 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632
+ 0xbfefc6ebc77f0887, 0xbfbe2ae5b8457f77, // -0.99303, -0.11784
+ 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937
+ 0xbfefc3ebc935454c, 0xbfbef2858d27561b, // -0.99267, -0.12089
+ 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241
+ 0xbfefc0d832bf043a, 0xbfbfba124b07ad85, // -0.99229, -0.12393
+ 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545
+ 0xbfefbdb106021816, 0xbfc040c5bb67747e, // -0.99191, -0.12698
+ 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285
+ 0xbfefba7644f068b5, 0xbfc0a4784ab8bf1d, // -0.99151, -0.13002
+ 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154
+ 0xbfefb727f187f1c7, 0xbfc1082095f820b0, // -0.99111, -0.13306
+ 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458
+ 0xbfefb3c60dd2c199, 0xbfc16bbe5fac5865, // -0.9907, -0.1361
+ 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762
+ 0xbfefb0509be6f7db, 0xbfc1cf516a62a077, // -0.99027, -0.13914
+ 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066
+ 0xbfefacc79de6c44f, 0xbfc232d978aed413, // -0.98984, -0.14218
+ 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437
+ 0xbfefa92b1600657c, 0xbfc296564d2b953e, // -0.9894, -0.14521
+ 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673
+ 0xbfefa57b066e2754, 0xbfc2f9c7aa7a72af, // -0.98895, -0.14825
+ 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976
+ 0xbfefa1b7717661d5, 0xbfc35d2d53440db2, // -0.98849, -0.15128
+ 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528
+ 0xbfef9de0596b77a3, 0xbfc3c0870a383ff6, // -0.98802, -0.15431
+ 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583
+ 0xbfef99f5c0abd496, 0xbfc423d4920e4166, // -0.98754, -0.15734
+ 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886
+ 0xbfef95f7a9a1ec47, 0xbfc48715ad84cdf5, // -0.98706, -0.16037
+ 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189
+ 0xbfef91e616c43891, 0xbfc4ea4a1f624b61, // -0.98656, -0.1634
+ 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491
+ 0xbfef8dc10a95380d, 0xbfc54d71aa74ef02, // -0.98605, -0.16643
+ 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794
+ 0xbfef898887a36c84, 0xbfc5b08c1192e381, // -0.98554, -0.16945
+ 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096
+ 0xbfef853c9089595e, 0xbfc61399179a6e94, // -0.98501, -0.17247
+ 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398
+ 0xbfef80dd27ed8204, 0xbfc676987f7216b8, // -0.98448, -0.17549
+ 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177
+ 0xbfef7c6a50826840, 0xbfc6d98a0c08c8da, // -0.98394, -0.17851
+ 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002
+ 0xbfef77e40d068a90, 0xbfc73c6d8055fe0a, // -0.98339, -0.18153
+ 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304
+ 0xbfef734a60446279, 0xbfc79f429f59e11d, // -0.98282, -0.18455
+ 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606
+ 0xbfef6e9d4d1262ca, 0xbfc802092c1d744b, // -0.98225, -0.18756
+ 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907
+ 0xbfef69dcd652f5de, 0xbfc864c0e9b2b6cf, // -0.98167, -0.19057
+ 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208
+ 0xbfef6508fef47bd5, 0xbfc8c7699b34ca7e, // -0.98108, -0.19359
+ 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509
+ 0xbfef6021c9f148c2, 0xbfc92a0303c8194f, // -0.98048, -0.19659
+ 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981
+ 0xbfef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // -0.97988, -0.1996
+ 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011
+ 0xbfef56195321c090, 0xbfc9ef0706e35a35, // -0.97926, -0.20261
+ 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411
+ 0xbfef50f81785c6b9, 0xbfca517127e3dabc, // -0.97863, -0.20561
+ 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711
+ 0xbfef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // -0.978, -0.20861
+ 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011
+ 0xbfef467bafb7bbe0, 0xbfcb16147941ca2a, // -0.97735, -0.21161
+ 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311
+ 0xbfef412089fd8adc, 0xbfcb784d30536cda, // -0.9767, -0.21461
+ 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611
+ 0xbfef3bb21cc4fe47, 0xbfcbda74f5856330, // -0.97604, -0.2176
+ 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191
+ 0xbfef36306b67c556, 0xbfcc3c8b8c4b9dd7, // -0.97536, -0.2206
+ 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209
+ 0xbfef309b794b719f, 0xbfcc9e90b824a6a9, // -0.97468, -0.22359
+ 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508
+ 0xbfef2af349e17507, 0xbfcd00843c99c5f9, // -0.97399, -0.22658
+ 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807
+ 0xbfef2537e0a71f9f, 0xbfcd6265dd3f27e3, // -0.97329, -0.22957
+ 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106
+ 0xbfef1f6941259d7a, 0xbfcdc4355db40195, // -0.97258, -0.23255
+ 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404
+ 0xbfef19876ef1f486, 0xbfce25f281a2b684, // -0.97187, -0.23553
+ 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702
+ 0xbfef13926dad024e, 0xbfce879d0cc0fdaf, // -0.97114, -0.23851
+ 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24
+ 0xbfef0d8a410379c5, 0xbfcee934c2d006c7, // -0.9704, -0.24149
+ 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298
+ 0xbfef076eecade0fa, 0xbfcf4ab9679c9f5c, // -0.96966, -0.24447
+ 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596
+ 0xbfef014074708ed3, 0xbfcfac2abeff57ff, // -0.9689, -0.24744
+ 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893
+ 0xbfeefafedc1ba8b7, 0xbfd006c4466e54af, // -0.96814, -0.25041
+ 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519
+ 0xbfeef4aa278b2032, 0xbfd037694a928cac, // -0.96737, -0.25338
+ 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487
+ 0xbfeeee425aa6b09a, 0xbfd068044deab002, // -0.96658, -0.25635
+ 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783
+ 0xbfeee7c77961dc9e, 0xbfd09895327b465e, // -0.96579, -0.25931
+ 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079
+ 0xbfeee13987bbebdc, 0xbfd0c91bda4f158d, // -0.96499, -0.26227
+ 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375
+ 0xbfeeda9889bfe86a, 0xbfd0f998277733f7, // -0.96418, -0.26523
+ 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671
+ 0xbfeed3e483849c51, 0xbfd12a09fc0b1b12, // -0.96337, -0.26819
+ 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967
+ 0xbfeecd1d792c8f10, 0xbfd15a713a28b9d9, // -0.96254, -0.27115
+ 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262
+ 0xbfeec6436ee60309, 0xbfd18acdc3f4873a, // -0.9617, -0.2741
+ 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557
+ 0xbfeebf5668eaf2ef, 0xbfd1bb1f7b999480, // -0.96086, -0.27705
+ 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852
+ 0xbfeeb8566b810f2a, 0xbfd1eb6643499fbb, // -0.96, -0.27999
+ 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146
+ 0xbfeeb1437af9bb34, 0xbfd21ba1fd3d2623, // -0.95914, -0.28294
+ 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441
+ 0xbfeeaa1d9bb20af3, 0xbfd24bd28bb37672, // -0.95827, -0.28588
+ 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735
+ 0xbfeea2e4d212c000, 0xbfd27bf7d0f2c346, // -0.95738, -0.28882
+ 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028
+ 0xbfee9b99229046f8, 0xbfd2ac11af483572, // -0.95649, -0.29175
+ 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322
+ 0xbfee943a91aab4b4, 0xbfd2dc200907fe51, // -0.95559, -0.29469
+ 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615
+ 0xbfee8cc923edc388, 0xbfd30c22c08d6a13, // -0.95469, -0.29762
+ 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908
+ 0xbfee8544ddf0d075, 0xbfd33c19b83af207, // -0.95377, -0.30054
+ 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201
+ 0xbfee7dadc456d850, 0xbfd36c04d27a4edf, // -0.95284, -0.30347
+ 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493
+ 0xbfee7603dbce74e9, 0xbfd39be3f1bc8aef, // -0.95191, -0.30639
+ 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785
+ 0xbfee6e472911da27, 0xbfd3cbb6f87a146e, // -0.95096, -0.30931
+ 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077
+ 0xbfee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // -0.95001, -0.31222
+ 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368
+ 0xbfee5e95781ebf1c, 0xbfd42b38466e2928, // -0.94905, -0.31514
+ 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659
+ 0xbfee56a083968eb1, 0xbfd45ae652bb2800, // -0.94807, -0.31805
+ 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195
+ 0xbfee4e98d836c0af, 0xbfd48a87d0b07fd7, // -0.94709, -0.32096
+ 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241
+ 0xbfee467e7af35f23, 0xbfd4ba1ca2eca31c, // -0.94611, -0.32386
+ 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531
+ 0xbfee3e5170cbfc46, 0xbfd4e9a4ac15d520, // -0.94511, -0.32676
+ 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821
+ 0xbfee3611becbaf69, 0xbfd5191fceda3c35, // -0.9441, -0.32966
+ 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111
+ 0xbfee2dbf6a0911d9, 0xbfd5488dedeff3be, // -0.94308, -0.33255
+ 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334
+ 0xbfee255a77a63bb8, 0xbfd577eeec151e47, // -0.94206, -0.33545
+ 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689
+ 0xbfee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // -0.94103, -0.33833
+ 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978
+ 0xbfee1458cec1ad83, 0xbfd5d68910aee686, // -0.93998, -0.34122
+ 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266
+ 0xbfee0bbc22bd8349, 0xbfd605c1fcc88f63, // -0.93893, -0.3441
+ 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554
+ 0xbfee030cee1435b8, 0xbfd634ed533be58e, // -0.93787, -0.34698
+ 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842
+ 0xbfedfa4b3621271d, 0xbfd6640af6f03d9e, // -0.9368, -0.34986
+ 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129
+ 0xbfedf177004b2534, 0xbfd6931acad55f51, // -0.93573, -0.35273
+ 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416
+ 0xbfede890520465ce, 0xbfd6c21cb1e39771, // -0.93464, -0.3556
+ 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703
+ 0xbfeddf9730ca837b, 0xbfd6f1108f1bc9c5, // -0.93354, -0.35846
+ 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599
+ 0xbfedd68ba2267a25, 0xbfd71ff6458782ec, // -0.93244, -0.36133
+ 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276
+ 0xbfedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // -0.93133, -0.36418
+ 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561
+ 0xbfedc43d52fcb453, 0xbfd77d96ca4b73a6, // -0.93021, -0.36704
+ 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847
+ 0xbfedbafa9dc1b78d, 0xbfd7ac515ee2b172, // -0.92907, -0.36989
+ 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132
+ 0xbfedb1a591b20c38, 0xbfd7dafd592ba621, // -0.92794, -0.37274
+ 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416
+ 0xbfeda83e348f613b, 0xbfd8099a9c5c362d, // -0.92679, -0.37559
+ 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701
+ 0xbfed9ec48c26b1f3, 0xbfd838290bb359c8, // -0.92563, -0.37843
+ 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985
+ 0xbfed95389e50429b, 0xbfd866a88a792ea0, // -0.92447, -0.38127
+ 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268
+ 0xbfed8b9a70ef9cb4, 0xbfd89518fbff098e, // -0.92329, -0.3841
+ 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552
+ 0xbfed81ea09f38b63, 0xbfd8c37a439f884f, // -0.92211, -0.38693
+ 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835
+ 0xbfed78276f5617c6, 0xbfd8f1cc44bea329, // -0.92092, -0.38976
+ 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117
+ 0xbfed6e52a71c8547, 0xbfd9200ee2c9be97, // -0.91972, -0.39258
+ 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399
+ 0xbfed646bb7574de5, 0xbfd94e420137bce3, // -0.91851, -0.3954
+ 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681
+ 0xbfed5a72a6221e73, 0xbfd97c6583890fc2, // -0.91729, -0.39822
+ 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962
+ 0xbfed506779a3d2d9, 0xbfd9aa794d47c9ee, // -0.91606, -0.40103
+ 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243
+ 0xbfed464a380e7242, 0xbfd9d87d4207b0ab, // -0.91483, -0.40384
+ 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524
+ 0xbfed3c1ae79f2b4e, 0xbfda067145664d57, // -0.91359, -0.40664
+ 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804
+ 0xbfed31d98e9e503a, 0xbfda34553b0afee5, // -0.91234, -0.40944
+ 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084
+ 0xbfed2786335f52fc, 0xbfda622906a70b63, // -0.91107, -0.41224
+ 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364
+ 0xbfed1d20dc40c15c, 0xbfda8fec8bf5b166, // -0.90981, -0.41503
+ 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643
+ 0xbfed12a98fac410c, 0xbfdabd9faebc3980, // -0.90853, -0.41782
+ 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922
+ 0xbfed082054168bac, 0xbfdaeb4252ca07ab, // -0.90724, -0.42061
+ 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422
+ 0xbfecfd852fff6ad4, 0xbfdb18d45bf8aca6, // -0.90595, -0.42339
+ 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478
+ 0xbfecf2d829f1b40e, 0xbfdb4655ae2bf757, // -0.90464, -0.42617
+ 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756
+ 0xbfece819488344ce, 0xbfdb73c62d520624, // -0.90333, -0.42894
+ 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033
+ 0xbfecdd489254fe65, 0xbfdba125bd63583e, // -0.90201, -0.43171
+ 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309
+ 0xbfecd2660e12c1e6, 0xbfdbce744262deee, // -0.90068, -0.43448
+ 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586
+ 0xbfecc771c2736c09, 0xbfdbfbb1a05e0edc, // -0.89935, -0.43724
+ 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862
+ 0xbfecbc6bb638d10b, 0xbfdc28ddbb6cf145, // -0.898, -0.43999
+ 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137
+ 0xbfecb153f02fb87d, 0xbfdc55f877b23537, // -0.89665, -0.44275
+ 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412
+ 0xbfeca62a772fd919, 0xbfdc8301b95b40c2, // -0.89528, -0.4455
+ 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687
+ 0xbfec9aef521bd480, 0xbfdcaff964a0421d, // -0.89391, -0.44824
+ 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961
+ 0xbfec8fa287e13305, 0xbfdcdcdf5dc440ce, // -0.89253, -0.45098
+ 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235
+ 0xbfec84441f785f61, 0xbfdd09b389152ec1, // -0.89115, -0.45372
+ 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508
+ 0xbfec78d41fe4a267, 0xbfdd3675caebf962, // -0.88975, -0.45645
+ 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781
+ 0xbfec6d5290341eb2, 0xbfdd632607ac9aa9, // -0.88835, -0.45918
+ 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054
+ 0xbfec61bf777fcc48, 0xbfdd8fc423c62a25, // -0.88693, -0.4619
+ 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326
+ 0xbfec561adceb743e, 0xbfddbc5003b2edf8, // -0.88551, -0.46462
+ 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598
+ 0xbfec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // -0.88408, -0.46733
+ 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869
+ 0xbfec3e9d3ee7d262, 0xbfde1530a12779f4, // -0.88264, -0.47004
+ 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714
+ 0xbfec32c449f60831, 0xbfde418527dc4ffa, // -0.8812, -0.47275
+ 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741
+ 0xbfec26d9f01f2eaf, 0xbfde6dc704be97e2, // -0.87974, -0.47545
+ 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768
+ 0xbfec1ade38bce19b, 0xbfde99f61c817eda, // -0.87828, -0.47815
+ 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949
+ 0xbfec0ed12b3372e9, 0xbfdec61253e3c61b, // -0.87681, -0.48084
+ 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218
+ 0xbfec02b2cef1e641, 0xbfdef21b8fafd3b5, // -0.87533, -0.48353
+ 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487
+ 0xbfebf6832b71ec5b, 0xbfdf1e11b4bbc35c, // -0.87384, -0.48621
+ 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755
+ 0xbfebea424837de6d, 0xbfdf49f4a7e97729, // -0.87235, -0.48889
+ 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023
+ 0xbfebddf02cd2b983, 0xbfdf75c44e26a852, // -0.87084, -0.49156
+ 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929
+ 0xbfebd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // -0.86933, -0.49423
+ 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557
+ 0xbfebc5186bf8361d, 0xbfdfcd2947c1ff57, // -0.86781, -0.4969
+ 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823
+ 0xbfebb892d5d5dad5, 0xbfdff8be6537615e, // -0.86628, -0.49956
+ 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089
+ 0xbfebabfc262e6586, 0xbfe0121fe4f56d2c, // -0.86474, -0.50221
+ 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354
+ 0xbfeb9f5464c5bffc, 0xbfe027d6ad83287e, // -0.8632, -0.50486
+ 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619
+ 0xbfeb929b996a5b7f, 0xbfe03d837edff370, // -0.86165, -0.50751
+ 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883
+ 0xbfeb85d1cbf52c02, 0xbfe053264bad0483, // -0.86009, -0.51015
+ 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147
+ 0xbfeb78f70449a34b, 0xbfe068bf0691c028, // -0.85852, -0.51279
+ 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141
+ 0xbfeb6c0b4a55ac17, 0xbfe07e4da23bc102, // -0.85694, -0.51542
+ 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673
+ 0xbfeb5f0ea611a532, 0xbfe093d2115ee018, // -0.85535, -0.51804
+ 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936
+ 0xbfeb52011f805c92, 0xbfe0a94c46b53d0b, // -0.85376, -0.52067
+ 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198
+ 0xbfeb44e2beaf0a61, 0xbfe0bebc34ff4646, // -0.85216, -0.52328
+ 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459
+ 0xbfeb37b38bb54c09, 0xbfe0d421cf03c12b, // -0.85055, -0.5259
+ 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272
+ 0xbfeb2a738eb51f33, 0xbfe0e97d078fd23b, // -0.84893, -0.5285
+ 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298
+ 0xbfeb1d22cfdadcc6, 0xbfe0fecdd1770537, // -0.84731, -0.5311
+ 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324
+ 0xbfeb0fc1575d33db, 0xbfe114141f935545, // -0.84567, -0.5337
+ 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535
+ 0xbfeb024f2d7d24a9, 0xbfe1294fe4c5350a, // -0.84403, -0.53629
+ 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759
+ 0xbfeaf4cc5a85fb73, 0xbfe13e8113f396c1, // -0.84238, -0.53888
+ 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017
+ 0xbfeae738e6cd4b67, 0xbfe153a7a00bf453, // -0.84073, -0.54146
+ 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275
+ 0xbfead994dab2e979, 0xbfe168c37c025764, // -0.83906, -0.54404
+ 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532
+ 0xbfeacbe03ea0e73b, 0xbfe17dd49ad16161, // -0.83739, -0.54661
+ 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789
+ 0xbfeabe1b1b0b8dac, 0xbfe192daef7a5386, // -0.83571, -0.54918
+ 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046
+ 0xbfeab045787157ff, 0xbfe1a7d66d0516e6, // -0.83402, -0.55174
+ 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302
+ 0xbfeaa25f5f5aee60, 0xbfe1bcc706804467, // -0.83232, -0.55429
+ 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557
+ 0xbfea9468d85b20ae, 0xbfe1d1acaf012cc2, // -0.83062, -0.55685
+ 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812
+ 0xbfea8661ec0ee133, 0xbfe1e68759a3e074, // -0.8289, -0.55939
+ 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066
+ 0xbfea784aa31d3f55, 0xbfe1fb56f98b37b8, // -0.82718, -0.56193
+ 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632
+ 0xbfea6a230637623b, 0xbfe2101b81e0da78, // -0.82546, -0.56447
+ 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573
+ 0xbfea5beb1e188375, 0xbfe224d4e5d5482e, // -0.82372, -0.567
+ 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826
+ 0xbfea4da2f385e997, 0xbfe23983189fdfd5, // -0.82198, -0.56952
+ 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078
+ 0xbfea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // -0.82023, -0.57204
+ 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733
+ 0xbfea30e1fa4cbf81, 0xbfe262bdb7b795a2, // -0.81847, -0.57455
+ 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581
+ 0xbfea22693d62ccb9, 0xbfe2774a0a961612, // -0.8167, -0.57706
+ 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831
+ 0xbfea13e0617e4ec7, 0xbfe28bcaf96d94ba, // -0.81493, -0.57956
+ 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081
+ 0xbfea05476f967bb5, 0xbfe2a040779843fb, // -0.81314, -0.58206
+ 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331
+ 0xbfe9f69e70ac75bc, 0xbfe2b4aa787764c4, // -0.81135, -0.58455
+ 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858
+ 0xbfe9e7e56dcb45bd, 0xbfe2c908ef734e57, // -0.80956, -0.58704
+ 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828
+ 0xbfe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // -0.80775, -0.58952
+ 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076
+ 0xbfe9ca438080eadb, 0xbfe2f1a30d86773a, // -0.80594, -0.592
+ 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323
+ 0xbfe9bb5aa85f2098, 0xbfe305de9b921a94, // -0.80412, -0.59447
+ 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957
+ 0xbfe9ac61f0d4e247, 0xbfe31a0e6da35e44, // -0.80229, -0.59693
+ 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816
+ 0xbfe99d59631e65d5, 0xbfe32e3277467d6b, // -0.80046, -0.59939
+ 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062
+ 0xbfe98e410881a600, 0xbfe3424aac0ef7d6, // -0.79861, -0.60184
+ 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307
+ 0xbfe97f18ea4e5c9e, 0xbfe35656ff9799ae, // -0.79676, -0.60429
+ 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551
+ 0xbfe96fe111ddfce0, 0xbfe36a576582831b, // -0.79491, -0.60673
+ 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795
+ 0xbfe960998893ad8c, 0xbfe37e4bd1792fe2, // -0.79304, -0.60917
+ 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038
+ 0xbfe9514257dc4335, 0xbfe39234372c7f04, // -0.79117, -0.6116
+ 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281
+ 0xbfe941db892e3a65, 0xbfe3a6108a54ba58, // -0.78929, -0.61402
+ 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523
+ 0xbfe932652609b1cf, 0xbfe3b9e0beb19e18, // -0.7874, -0.61644
+ 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765
+ 0xbfe922df37f8646a, 0xbfe3cda4c80a6076, // -0.78551, -0.61885
+ 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006
+ 0xbfe91349c88da398, 0xbfe3e15c9a2db922, // -0.7836, -0.62126
+ 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246
+ 0xbfe903a4e1665133, 0xbfe3f50828f1e8d2, // -0.78169, -0.62366
+ 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486
+ 0xbfe8f3f08c28d9ac, 0xbfe408a76834c0c0, // -0.77978, -0.62606
+ 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725
+ 0xbfe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // -0.77785, -0.62845
+ 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964
+ 0xbfe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // -0.77592, -0.63083
+ 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202
+ 0xbfe8c47758fa71cb, 0xbfe4433ad0117b1d, // -0.77398, -0.63321
+ 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439
+ 0xbfe8b485aca2a468, 0xbfe456a858917046, // -0.77204, -0.63558
+ 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676
+ 0xbfe8a484c3031d50, 0xbfe46a095557a0f1, // -0.77008, -0.63794
+ 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912
+ 0xbfe89474a5fb0a84, 0xbfe47d5dba6fde01, // -0.76812, -0.6403
+ 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148
+ 0xbfe884555f72fa6b, 0xbfe490a57bedbcdf, // -0.76615, -0.64266
+ 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383
+ 0xbfe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // -0.76418, -0.645
+ 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618
+ 0xbfe863e97db3d95a, 0xbfe4b70ee48fb869, // -0.7622, -0.64735
+ 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851
+ 0xbfe8539cf67c9029, 0xbfe4ca30740218a3, // -0.76021, -0.64968
+ 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085
+ 0xbfe843416dc4cce2, 0xbfe4dd453076b064, // -0.75821, -0.65201
+ 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317
+ 0xbfe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // -0.75621, -0.65433
+ 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549
+ 0xbfe8225d803964e5, 0xbfe503480159ded2, // -0.75419, -0.65665
+ 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781
+ 0xbfe811d52faf94dc, 0xbfe51635fe5601d7, // -0.75218, -0.65896
+ 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011
+ 0xbfe8013e0638e795, 0xbfe52916f96f8388, // -0.75015, -0.66127
+ 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242
+ 0xbfe7f0980e113978, 0xbfe53beae7012abe, // -0.74812, -0.66356
+ 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471
+ 0xbfe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // -0.74608, -0.66586
+ 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667
+ 0xbfe7cf1fdacbf179, 0xbfe5616b6b204e6e, // -0.74403, -0.66814
+ 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928
+ 0xbfe7be4db453a27c, 0xbfe57417ea8bb75c, // -0.74198, -0.67042
+ 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156
+ 0xbfe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // -0.73992, -0.67269
+ 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383
+ 0xbfe79c7d8198e56e, 0xbfe599492a81ffbc, // -0.73785, -0.67496
+ 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609
+ 0xbfe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // -0.73578, -0.67722
+ 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835
+ 0xbfe77a730cbb9100, 0xbfe5be451f8bf980, // -0.7337, -0.67948
+ 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806
+ 0xbfe7695813b9b594, 0xbfe5d0af016ed1d4, // -0.73161, -0.68172
+ 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285
+ 0xbfe7582ea9b9a329, 0xbfe5e30b6e6877f3, // -0.72951, -0.68397
+ 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508
+ 0xbfe746f6d9516d59, 0xbfe5f55a5b2576f8, // -0.72741, -0.6862
+ 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732
+ 0xbfe735b0ad2009b2, 0xbfe6079bbc5aadfa, // -0.7253, -0.68843
+ 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954
+ 0xbfe7245c2fcd492a, 0xbfe619cf86c55702, // -0.72319, -0.69065
+ 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176
+ 0xbfe712f96c09d18d, 0xbfe62bf5af2b0dfd, // -0.72107, -0.69287
+ 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397
+ 0xbfe701886c8f16e6, 0xbfe63e0e2a59d7aa, // -0.71894, -0.69508
+ 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618
+ 0xbfe6f0093c1f54de, 0xbfe65018ed28287f, // -0.7168, -0.69728
+ 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838
+ 0xbfe6de7be585881d, 0xbfe66215ec74eb91, // -0.71466, -0.69947
+ 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057
+ 0xbfe6cce07395679f, 0xbfe674051d27896c, // -0.71251, -0.70166
+ 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275
+ 0xbfe6bb36f12b5e06, 0xbfe685e6742feeef, // -0.71035, -0.70385
+ 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493
+ 0xbfe6a97f692c82ea, 0xbfe697b9e686941c, // -0.70819, -0.70602
+ 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711
+ 0xbfe697b9e686941c, 0xbfe6a97f692c82ea, // -0.70602, -0.70819
+ 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927
+ 0xbfe685e6742feeef, 0xbfe6bb36f12b5e06, // -0.70385, -0.71035
+ 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143
+ 0xbfe674051d27896c, 0xbfe6cce07395679f, // -0.70166, -0.71251
+ 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358
+ 0xbfe66215ec74eb91, 0xbfe6de7be585881d, // -0.69947, -0.71466
+ 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573
+ 0xbfe65018ed28287f, 0xbfe6f0093c1f54de, // -0.69728, -0.7168
+ 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787
+ 0xbfe63e0e2a59d7aa, 0xbfe701886c8f16e6, // -0.69508, -0.71894
+ 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72
+ 0xbfe62bf5af2b0dfd, 0xbfe712f96c09d18d, // -0.69287, -0.72107
+ 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213
+ 0xbfe619cf86c55702, 0xbfe7245c2fcd492a, // -0.69065, -0.72319
+ 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425
+ 0xbfe6079bbc5aadfa, 0xbfe735b0ad2009b2, // -0.68843, -0.7253
+ 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636
+ 0xbfe5f55a5b2576f8, 0xbfe746f6d9516d59, // -0.6862, -0.72741
+ 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846
+ 0xbfe5e30b6e6877f3, 0xbfe7582ea9b9a329, // -0.68397, -0.72951
+ 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056
+ 0xbfe5d0af016ed1d4, 0xbfe7695813b9b594, // -0.68172, -0.73161
+ 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265
+ 0xbfe5be451f8bf980, 0xbfe77a730cbb9100, // -0.67948, -0.7337
+ 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474
+ 0xbfe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // -0.67722, -0.73578
+ 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682
+ 0xbfe599492a81ffbc, 0xbfe79c7d8198e56e, // -0.67496, -0.73785
+ 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889
+ 0xbfe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // -0.67269, -0.73992
+ 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095
+ 0xbfe57417ea8bb75c, 0xbfe7be4db453a27c, // -0.67042, -0.74198
+ 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301
+ 0xbfe5616b6b204e6e, 0xbfe7cf1fdacbf179, // -0.66814, -0.74403
+ 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506
+ 0xbfe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // -0.66586, -0.74608
+ 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471
+ 0xbfe53beae7012abe, 0xbfe7f0980e113978, // -0.66356, -0.74812
+ 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914
+ 0xbfe52916f96f8388, 0xbfe8013e0638e795, // -0.66127, -0.75015
+ 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117
+ 0xbfe51635fe5601d7, 0xbfe811d52faf94dc, // -0.65896, -0.75218
+ 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319
+ 0xbfe503480159ded2, 0xbfe8225d803964e5, // -0.65665, -0.75419
+ 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552
+ 0xbfe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // -0.65433, -0.75621
+ 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721
+ 0xbfe4dd453076b064, 0xbfe843416dc4cce2, // -0.65201, -0.75821
+ 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921
+ 0xbfe4ca30740218a3, 0xbfe8539cf67c9029, // -0.64968, -0.76021
+ 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612
+ 0xbfe4b70ee48fb869, 0xbfe863e97db3d95a, // -0.64735, -0.7622
+ 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319
+ 0xbfe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // -0.645, -0.76418
+ 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517
+ 0xbfe490a57bedbcdf, 0xbfe884555f72fa6b, // -0.64266, -0.76615
+ 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714
+ 0xbfe47d5dba6fde01, 0xbfe89474a5fb0a84, // -0.6403, -0.76812
+ 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691
+ 0xbfe46a095557a0f1, 0xbfe8a484c3031d50, // -0.63794, -0.77008
+ 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106
+ 0xbfe456a858917046, 0xbfe8b485aca2a468, // -0.63558, -0.77204
+ 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301
+ 0xbfe4433ad0117b1d, 0xbfe8c47758fa71cb, // -0.63321, -0.77398
+ 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495
+ 0xbfe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // -0.63083, -0.77592
+ 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689
+ 0xbfe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // -0.62845, -0.77785
+ 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882
+ 0xbfe408a76834c0c0, 0xbfe8f3f08c28d9ac, // -0.62606, -0.77978
+ 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074
+ 0xbfe3f50828f1e8d2, 0xbfe903a4e1665133, // -0.62366, -0.78169
+ 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265
+ 0xbfe3e15c9a2db922, 0xbfe91349c88da398, // -0.62126, -0.7836
+ 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456
+ 0xbfe3cda4c80a6076, 0xbfe922df37f8646a, // -0.61885, -0.78551
+ 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646
+ 0xbfe3b9e0beb19e18, 0xbfe932652609b1cf, // -0.61644, -0.7874
+ 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835
+ 0xbfe3a6108a54ba58, 0xbfe941db892e3a65, // -0.61402, -0.78929
+ 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023
+ 0xbfe39234372c7f04, 0xbfe9514257dc4335, // -0.6116, -0.79117
+ 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211
+ 0xbfe37e4bd1792fe2, 0xbfe960998893ad8c, // -0.60917, -0.79304
+ 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398
+ 0xbfe36a576582831b, 0xbfe96fe111ddfce0, // -0.60673, -0.79491
+ 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584
+ 0xbfe35656ff9799ae, 0xbfe97f18ea4e5c9e, // -0.60429, -0.79676
+ 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769
+ 0xbfe3424aac0ef7d6, 0xbfe98e410881a600, // -0.60184, -0.79861
+ 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954
+ 0xbfe32e3277467d6b, 0xbfe99d59631e65d5, // -0.59939, -0.80046
+ 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138
+ 0xbfe31a0e6da35e44, 0xbfe9ac61f0d4e247, // -0.59693, -0.80229
+ 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321
+ 0xbfe305de9b921a94, 0xbfe9bb5aa85f2098, // -0.59447, -0.80412
+ 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503
+ 0xbfe2f1a30d86773a, 0xbfe9ca438080eadb, // -0.592, -0.80594
+ 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685
+ 0xbfe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // -0.58952, -0.80775
+ 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866
+ 0xbfe2c908ef734e57, 0xbfe9e7e56dcb45bd, // -0.58704, -0.80956
+ 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046
+ 0xbfe2b4aa787764c4, 0xbfe9f69e70ac75bc, // -0.58455, -0.81135
+ 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225
+ 0xbfe2a040779843fb, 0xbfea05476f967bb5, // -0.58206, -0.81314
+ 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404
+ 0xbfe28bcaf96d94ba, 0xbfea13e0617e4ec7, // -0.57956, -0.81493
+ 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581
+ 0xbfe2774a0a961612, 0xbfea22693d62ccb9, // -0.57706, -0.8167
+ 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758
+ 0xbfe262bdb7b795a2, 0xbfea30e1fa4cbf81, // -0.57455, -0.81847
+ 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935
+ 0xbfe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // -0.57204, -0.82023
+ 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211
+ 0xbfe23983189fdfd5, 0xbfea4da2f385e997, // -0.56952, -0.82198
+ 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285
+ 0xbfe224d4e5d5482e, 0xbfea5beb1e188375, // -0.567, -0.82372
+ 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459
+ 0xbfe2101b81e0da78, 0xbfea6a230637623b, // -0.56447, -0.82546
+ 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632
+ 0xbfe1fb56f98b37b8, 0xbfea784aa31d3f55, // -0.56193, -0.82718
+ 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805
+ 0xbfe1e68759a3e074, 0xbfea8661ec0ee133, // -0.55939, -0.8289
+ 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976
+ 0xbfe1d1acaf012cc2, 0xbfea9468d85b20ae, // -0.55685, -0.83062
+ 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147
+ 0xbfe1bcc706804467, 0xbfeaa25f5f5aee60, // -0.55429, -0.83232
+ 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317
+ 0xbfe1a7d66d0516e6, 0xbfeab045787157ff, // -0.55174, -0.83402
+ 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486
+ 0xbfe192daef7a5386, 0xbfeabe1b1b0b8dac, // -0.54918, -0.83571
+ 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655
+ 0xbfe17dd49ad16161, 0xbfeacbe03ea0e73b, // -0.54661, -0.83739
+ 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822
+ 0xbfe168c37c025764, 0xbfead994dab2e979, // -0.54404, -0.83906
+ 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989
+ 0xbfe153a7a00bf453, 0xbfeae738e6cd4b67, // -0.54146, -0.84073
+ 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155
+ 0xbfe13e8113f396c1, 0xbfeaf4cc5a85fb73, // -0.53888, -0.84238
+ 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321
+ 0xbfe1294fe4c5350a, 0xbfeb024f2d7d24a9, // -0.53629, -0.84403
+ 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485
+ 0xbfe114141f935545, 0xbfeb0fc1575d33db, // -0.5337, -0.84567
+ 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649
+ 0xbfe0fecdd1770537, 0xbfeb1d22cfdadcc6, // -0.5311, -0.84731
+ 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812
+ 0xbfe0e97d078fd23b, 0xbfeb2a738eb51f33, // -0.5285, -0.84893
+ 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974
+ 0xbfe0d421cf03c12b, 0xbfeb37b38bb54c09, // -0.5259, -0.85055
+ 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136
+ 0xbfe0bebc34ff4646, 0xbfeb44e2beaf0a61, // -0.52328, -0.85216
+ 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296
+ 0xbfe0a94c46b53d0b, 0xbfeb52011f805c92, // -0.52067, -0.85376
+ 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456
+ 0xbfe093d2115ee018, 0xbfeb5f0ea611a532, // -0.51804, -0.85535
+ 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615
+ 0xbfe07e4da23bc102, 0xbfeb6c0b4a55ac17, // -0.51542, -0.85694
+ 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773
+ 0xbfe068bf0691c028, 0xbfeb78f70449a34b, // -0.51279, -0.85852
+ 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593
+ 0xbfe053264bad0483, 0xbfeb85d1cbf52c02, // -0.51015, -0.86009
+ 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087
+ 0xbfe03d837edff370, 0xbfeb929b996a5b7f, // -0.50751, -0.86165
+ 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242
+ 0xbfe027d6ad83287e, 0xbfeb9f5464c5bffc, // -0.50486, -0.8632
+ 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397
+ 0xbfe0121fe4f56d2c, 0xbfebabfc262e6586, // -0.50221, -0.86474
+ 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551
+ 0xbfdff8be6537615e, 0xbfebb892d5d5dad5, // -0.49956, -0.86628
+ 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705
+ 0xbfdfcd2947c1ff57, 0xbfebc5186bf8361d, // -0.4969, -0.86781
+ 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857
+ 0xbfdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // -0.49423, -0.86933
+ 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009
+ 0xbfdf75c44e26a852, 0xbfebddf02cd2b983, // -0.49156, -0.87084
+ 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716
+ 0xbfdf49f4a7e97729, 0xbfebea424837de6d, // -0.48889, -0.87235
+ 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309
+ 0xbfdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // -0.48621, -0.87384
+ 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459
+ 0xbfdef21b8fafd3b5, 0xbfec02b2cef1e641, // -0.48353, -0.87533
+ 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607
+ 0xbfdec61253e3c61b, 0xbfec0ed12b3372e9, // -0.48084, -0.87681
+ 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755
+ 0xbfde99f61c817eda, 0xbfec1ade38bce19b, // -0.47815, -0.87828
+ 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901
+ 0xbfde6dc704be97e2, 0xbfec26d9f01f2eaf, // -0.47545, -0.87974
+ 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047
+ 0xbfde418527dc4ffa, 0xbfec32c449f60831, // -0.47275, -0.8812
+ 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192
+ 0xbfde1530a12779f4, 0xbfec3e9d3ee7d262, // -0.47004, -0.88264
+ 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336
+ 0xbfdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // -0.46733, -0.88408
+ 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848
+ 0xbfddbc5003b2edf8, 0xbfec561adceb743e, // -0.46462, -0.88551
+ 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622
+ 0xbfdd8fc423c62a25, 0xbfec61bf777fcc48, // -0.4619, -0.88693
+ 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764
+ 0xbfdd632607ac9aa9, 0xbfec6d5290341eb2, // -0.45918, -0.88835
+ 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905
+ 0xbfdd3675caebf962, 0xbfec78d41fe4a267, // -0.45645, -0.88975
+ 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045
+ 0xbfdd09b389152ec1, 0xbfec84441f785f61, // -0.45372, -0.89115
+ 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184
+ 0xbfdcdcdf5dc440ce, 0xbfec8fa287e13305, // -0.45098, -0.89253
+ 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322
+ 0xbfdcaff964a0421d, 0xbfec9aef521bd480, // -0.44824, -0.89391
+ 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946
+ 0xbfdc8301b95b40c2, 0xbfeca62a772fd919, // -0.4455, -0.89528
+ 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597
+ 0xbfdc55f877b23537, 0xbfecb153f02fb87d, // -0.44275, -0.89665
+ 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732
+ 0xbfdc28ddbb6cf145, 0xbfecbc6bb638d10b, // -0.43999, -0.898
+ 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867
+ 0xbfdbfbb1a05e0edc, 0xbfecc771c2736c09, // -0.43724, -0.89935
+ 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002
+ 0xbfdbce744262deee, 0xbfecd2660e12c1e6, // -0.43448, -0.90068
+ 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135
+ 0xbfdba125bd63583e, 0xbfecdd489254fe65, // -0.43171, -0.90201
+ 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267
+ 0xbfdb73c62d520624, 0xbfece819488344ce, // -0.42894, -0.90333
+ 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399
+ 0xbfdb4655ae2bf757, 0xbfecf2d829f1b40e, // -0.42617, -0.90464
+ 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053
+ 0xbfdb18d45bf8aca6, 0xbfecfd852fff6ad4, // -0.42339, -0.90595
+ 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066
+ 0xbfdaeb4252ca07ab, 0xbfed082054168bac, // -0.42061, -0.90724
+ 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789
+ 0xbfdabd9faebc3980, 0xbfed12a98fac410c, // -0.41782, -0.90853
+ 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917
+ 0xbfda8fec8bf5b166, 0xbfed1d20dc40c15c, // -0.41503, -0.90981
+ 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044
+ 0xbfda622906a70b63, 0xbfed2786335f52fc, // -0.41224, -0.91107
+ 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171
+ 0xbfda34553b0afee5, 0xbfed31d98e9e503a, // -0.40944, -0.91234
+ 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296
+ 0xbfda067145664d57, 0xbfed3c1ae79f2b4e, // -0.40664, -0.91359
+ 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421
+ 0xbfd9d87d4207b0ab, 0xbfed464a380e7242, // -0.40384, -0.91483
+ 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545
+ 0xbfd9aa794d47c9ee, 0xbfed506779a3d2d9, // -0.40103, -0.91606
+ 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668
+ 0xbfd97c6583890fc2, 0xbfed5a72a6221e73, // -0.39822, -0.91729
+ 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179
+ 0xbfd94e420137bce3, 0xbfed646bb7574de5, // -0.3954, -0.91851
+ 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911
+ 0xbfd9200ee2c9be97, 0xbfed6e52a71c8547, // -0.39258, -0.91972
+ 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032
+ 0xbfd8f1cc44bea329, 0xbfed78276f5617c6, // -0.38976, -0.92092
+ 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151
+ 0xbfd8c37a439f884f, 0xbfed81ea09f38b63, // -0.38693, -0.92211
+ 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227
+ 0xbfd89518fbff098e, 0xbfed8b9a70ef9cb4, // -0.3841, -0.92329
+ 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388
+ 0xbfd866a88a792ea0, 0xbfed95389e50429b, // -0.38127, -0.92447
+ 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505
+ 0xbfd838290bb359c8, 0xbfed9ec48c26b1f3, // -0.37843, -0.92563
+ 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621
+ 0xbfd8099a9c5c362d, 0xbfeda83e348f613b, // -0.37559, -0.92679
+ 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736
+ 0xbfd7dafd592ba621, 0xbfedb1a591b20c38, // -0.37274, -0.92794
+ 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851
+ 0xbfd7ac515ee2b172, 0xbfedbafa9dc1b78d, // -0.36989, -0.92907
+ 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964
+ 0xbfd77d96ca4b73a6, 0xbfedc43d52fcb453, // -0.36704, -0.93021
+ 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077
+ 0xbfd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // -0.36418, -0.93133
+ 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188
+ 0xbfd71ff6458782ec, 0xbfedd68ba2267a25, // -0.36133, -0.93244
+ 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299
+ 0xbfd6f1108f1bc9c5, 0xbfeddf9730ca837b, // -0.35846, -0.93354
+ 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409
+ 0xbfd6c21cb1e39771, 0xbfede890520465ce, // -0.3556, -0.93464
+ 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518
+ 0xbfd6931acad55f51, 0xbfedf177004b2534, // -0.35273, -0.93573
+ 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627
+ 0xbfd6640af6f03d9e, 0xbfedfa4b3621271d, // -0.34986, -0.9368
+ 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734
+ 0xbfd634ed533be58e, 0xbfee030cee1435b8, // -0.34698, -0.93787
+ 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384
+ 0xbfd605c1fcc88f63, 0xbfee0bbc22bd8349, // -0.3441, -0.93893
+ 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946
+ 0xbfd5d68910aee686, 0xbfee1458cec1ad83, // -0.34122, -0.93998
+ 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051
+ 0xbfd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // -0.33833, -0.94103
+ 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154
+ 0xbfd577eeec151e47, 0xbfee255a77a63bb8, // -0.33545, -0.94206
+ 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257
+ 0xbfd5488dedeff3be, 0xbfee2dbf6a0911d9, // -0.33255, -0.94308
+ 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359
+ 0xbfd5191fceda3c35, 0xbfee3611becbaf69, // -0.32966, -0.9441
+ 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446
+ 0xbfd4e9a4ac15d520, 0xbfee3e5170cbfc46, // -0.32676, -0.94511
+ 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561
+ 0xbfd4ba1ca2eca31c, 0xbfee467e7af35f23, // -0.32386, -0.94611
+ 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466
+ 0xbfd48a87d0b07fd7, 0xbfee4e98d836c0af, // -0.32096, -0.94709
+ 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759
+ 0xbfd45ae652bb2800, 0xbfee56a083968eb1, // -0.31805, -0.94807
+ 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856
+ 0xbfd42b38466e2928, 0xbfee5e95781ebf1c, // -0.31514, -0.94905
+ 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953
+ 0xbfd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // -0.31222, -0.95001
+ 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049
+ 0xbfd3cbb6f87a146e, 0xbfee6e472911da27, // -0.30931, -0.95096
+ 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144
+ 0xbfd39be3f1bc8aef, 0xbfee7603dbce74e9, // -0.30639, -0.95191
+ 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238
+ 0xbfd36c04d27a4edf, 0xbfee7dadc456d850, // -0.30347, -0.95284
+ 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331
+ 0xbfd33c19b83af207, 0xbfee8544ddf0d075, // -0.30054, -0.95377
+ 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423
+ 0xbfd30c22c08d6a13, 0xbfee8cc923edc388, // -0.29762, -0.95469
+ 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514
+ 0xbfd2dc200907fe51, 0xbfee943a91aab4b4, // -0.29469, -0.95559
+ 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605
+ 0xbfd2ac11af483572, 0xbfee9b99229046f8, // -0.29175, -0.95649
+ 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694
+ 0xbfd27bf7d0f2c346, 0xbfeea2e4d212c000, // -0.28882, -0.95738
+ 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783
+ 0xbfd24bd28bb37672, 0xbfeeaa1d9bb20af3, // -0.28588, -0.95827
+ 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587
+ 0xbfd21ba1fd3d2623, 0xbfeeb1437af9bb34, // -0.28294, -0.95914
+ 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957
+ 0xbfd1eb6643499fbb, 0xbfeeb8566b810f2a, // -0.27999, -0.96
+ 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043
+ 0xbfd1bb1f7b999480, 0xbfeebf5668eaf2ef, // -0.27705, -0.96086
+ 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128
+ 0xbfd18acdc3f4873a, 0xbfeec6436ee60309, // -0.2741, -0.9617
+ 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212
+ 0xbfd15a713a28b9d9, 0xbfeecd1d792c8f10, // -0.27115, -0.96254
+ 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295
+ 0xbfd12a09fc0b1b12, 0xbfeed3e483849c51, // -0.26819, -0.96337
+ 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378
+ 0xbfd0f998277733f7, 0xbfeeda9889bfe86a, // -0.26523, -0.96418
+ 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459
+ 0xbfd0c91bda4f158d, 0xbfeee13987bbebdc, // -0.26227, -0.96499
+ 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539
+ 0xbfd09895327b465e, 0xbfeee7c77961dc9e, // -0.25931, -0.96579
+ 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619
+ 0xbfd068044deab002, 0xbfeeee425aa6b09a, // -0.25635, -0.96658
+ 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698
+ 0xbfd037694a928cac, 0xbfeef4aa278b2032, // -0.25338, -0.96737
+ 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775
+ 0xbfd006c4466e54af, 0xbfeefafedc1ba8b7, // -0.25041, -0.96814
+ 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852
+ 0xbfcfac2abeff57ff, 0xbfef014074708ed3, // -0.24744, -0.9689
+ 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928
+ 0xbfcf4ab9679c9f5c, 0xbfef076eecade0fa, // -0.24447, -0.96966
+ 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003
+ 0xbfcee934c2d006c7, 0xbfef0d8a410379c5, // -0.24149, -0.9704
+ 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077
+ 0xbfce879d0cc0fdaf, 0xbfef13926dad024e, // -0.23851, -0.97114
+ 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715
+ 0xbfce25f281a2b684, 0xbfef19876ef1f486, // -0.23553, -0.97187
+ 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223
+ 0xbfcdc4355db40195, 0xbfef1f6941259d7a, // -0.23255, -0.97258
+ 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294
+ 0xbfcd6265dd3f27e3, 0xbfef2537e0a71f9f, // -0.22957, -0.97329
+ 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364
+ 0xbfcd00843c99c5f9, 0xbfef2af349e17507, // -0.22658, -0.97399
+ 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434
+ 0xbfcc9e90b824a6a9, 0xbfef309b794b719f, // -0.22359, -0.97468
+ 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503
+ 0xbfcc3c8b8c4b9dd7, 0xbfef36306b67c556, // -0.2206, -0.97536
+ 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757
+ 0xbfcbda74f5856330, 0xbfef3bb21cc4fe47, // -0.2176, -0.97604
+ 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637
+ 0xbfcb784d30536cda, 0xbfef412089fd8adc, // -0.21461, -0.9767
+ 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703
+ 0xbfcb16147941ca2a, 0xbfef467bafb7bbe0, // -0.21161, -0.97735
+ 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768
+ 0xbfcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // -0.20861, -0.978
+ 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832
+ 0xbfca517127e3dabc, 0xbfef50f81785c6b9, // -0.20561, -0.97863
+ 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895
+ 0xbfc9ef0706e35a35, 0xbfef56195321c090, // -0.20261, -0.97926
+ 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957
+ 0xbfc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // -0.1996, -0.97988
+ 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018
+ 0xbfc92a0303c8194f, 0xbfef6021c9f148c2, // -0.19659, -0.98048
+ 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079
+ 0xbfc8c7699b34ca7e, 0xbfef6508fef47bd5, // -0.19359, -0.98108
+ 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138
+ 0xbfc864c0e9b2b6cf, 0xbfef69dcd652f5de, // -0.19057, -0.98167
+ 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196
+ 0xbfc802092c1d744b, 0xbfef6e9d4d1262ca, // -0.18756, -0.98225
+ 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254
+ 0xbfc79f429f59e11d, 0xbfef734a60446279, // -0.18455, -0.98282
+ 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311
+ 0xbfc73c6d8055fe0a, 0xbfef77e40d068a90, // -0.18153, -0.98339
+ 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366
+ 0xbfc6d98a0c08c8da, 0xbfef7c6a50826840, // -0.17851, -0.98394
+ 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421
+ 0xbfc676987f7216b8, 0xbfef80dd27ed8204, // -0.17549, -0.98448
+ 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475
+ 0xbfc61399179a6e94, 0xbfef853c9089595e, // -0.17247, -0.98501
+ 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528
+ 0xbfc5b08c1192e381, 0xbfef898887a36c84, // -0.16945, -0.98554
+ 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858
+ 0xbfc54d71aa74ef02, 0xbfef8dc10a95380d, // -0.16643, -0.98605
+ 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631
+ 0xbfc4ea4a1f624b61, 0xbfef91e616c43891, // -0.1634, -0.98656
+ 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681
+ 0xbfc48715ad84cdf5, 0xbfef95f7a9a1ec47, // -0.16037, -0.98706
+ 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873
+ 0xbfc423d4920e4166, 0xbfef99f5c0abd496, // -0.15734, -0.98754
+ 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778
+ 0xbfc3c0870a383ff6, 0xbfef9de0596b77a3, // -0.15431, -0.98802
+ 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826
+ 0xbfc35d2d53440db2, 0xbfefa1b7717661d5, // -0.15128, -0.98849
+ 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872
+ 0xbfc2f9c7aa7a72af, 0xbfefa57b066e2754, // -0.14825, -0.98895
+ 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918
+ 0xbfc296564d2b953e, 0xbfefa92b1600657c, // -0.14521, -0.9894
+ 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962
+ 0xbfc232d978aed413, 0xbfefacc79de6c44f, // -0.14218, -0.98984
+ 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006
+ 0xbfc1cf516a62a077, 0xbfefb0509be6f7db, // -0.13914, -0.99027
+ 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049
+ 0xbfc16bbe5fac5865, 0xbfefb3c60dd2c199, // -0.1361, -0.9907
+ 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909
+ 0xbfc1082095f820b0, 0xbfefb727f187f1c7, // -0.13306, -0.99111
+ 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131
+ 0xbfc0a4784ab8bf1d, 0xbfefba7644f068b5, // -0.13002, -0.99151
+ 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171
+ 0xbfc040c5bb67747e, 0xbfefbdb106021816, // -0.12698, -0.99191
+ 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921
+ 0xbfbfba124b07ad85, 0xbfefc0d832bf043a, // -0.12393, -0.99229
+ 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248
+ 0xbfbef2858d27561b, 0xbfefc3ebc935454c, // -0.12089, -0.99267
+ 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285
+ 0xbfbe2ae5b8457f77, 0xbfefc6ebc77f0887, // -0.11784, -0.99303
+ 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321
+ 0xbfbd633347858ce4, 0xbfefc9d82bc2915e, // -0.11479, -0.99339
+ 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356
+ 0xbfbc9b6eb6165c42, 0xbfefccb0f4323aa3, // -0.11175, -0.99374
+ 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391
+ 0xbfbbd3987f31fa0e, 0xbfefcf761f0c77a3, // -0.1087, -0.99407
+ 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424
+ 0xbfbb0bb11e1d5559, 0xbfefd227aa9bd53b, // -0.10565, -0.9944
+ 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456
+ 0xbfba43b90e27f3c4, 0xbfefd4c59536fae4, // -0.1026, -0.99472
+ 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488
+ 0xbfb97bb0caaba56f, 0xbfefd74fdd40abbf, // -0.099544, -0.99503
+ 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518
+ 0xbfb8b398cf0c38e0, 0xbfefd9c68127c78c, // -0.09649, -0.99533
+ 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548
+ 0xbfb7eb7196b72ee4, 0xbfefdc297f674ba9, // -0.093436, -0.99563
+ 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577
+ 0xbfb7233b9d236e71, 0xbfefde78d68653fd, // -0.090381, -0.99591
+ 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604
+ 0xbfb65af75dd0f87b, 0xbfefe0b485181be3, // -0.087326, -0.99618
+ 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631
+ 0xbfb592a554489bc8, 0xbfefe2dc89bbff08, // -0.084269, -0.99644
+ 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657
+ 0xbfb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // -0.081211, -0.9967
+ 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682
+ 0xbfb401d9d0e3a507, 0xbfefe6f18ff42c84, // -0.078153, -0.99694
+ 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706
+ 0xbfb339614e41ffa5, 0xbfefe8de8f03d75c, // -0.075094, -0.99718
+ 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729
+ 0xbfb270dcefdfc45b, 0xbfefeab7df1c6005, // -0.072035, -0.9974
+ 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751
+ 0xbfb1a84d316d4f8a, 0xbfefec7d7f19cffc, // -0.068974, -0.99762
+ 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772
+ 0xbfb0dfb28ea201e6, 0xbfefee2f6de455ba, // -0.065913, -0.99783
+ 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793
+ 0xbfb0170d833bf421, 0xbfefefcdaa704562, // -0.062852, -0.99802
+ 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812
+ 0xbfae9cbd15ff5527, 0xbfeff15833be1965, // -0.05979, -0.99821
+ 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983
+ 0xbfad0b4c436f91d0, 0xbfeff2cf08da7321, // -0.056727, -0.99839
+ 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848
+ 0xbfab79c986698b78, 0xbfeff43228de1b77, // -0.053664, -0.99856
+ 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864
+ 0xbfa9e835d6993c87, 0xbfeff58192ee0358, // -0.0506, -0.99872
+ 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988
+ 0xbfa856922bb513c1, 0xbfeff6bd463b444d, // -0.047535, -0.99887
+ 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894
+ 0xbfa6c4df7d7d5b84, 0xbfeff7e5420320f9, // -0.044471, -0.99901
+ 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908
+ 0xbfa5331ec3bba0eb, 0xbfeff8f9858f058b, // -0.041406, -0.99914
+ 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992
+ 0xbfa3a150f6421afc, 0xbfeff9fa10348837, // -0.03834, -0.99926
+ 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932
+ 0xbfa20f770ceb11c6, 0xbfeffae6e1556998, // -0.035274, -0.99938
+ 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943
+ 0xbfa07d91ff984580, 0xbfeffbbff85f9515, // -0.032208, -0.99948
+ 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953
+ 0xbf9dd7458c64ab39, 0xbfeffc8554cd213a, // -0.029142, -0.99958
+ 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962
+ 0xbf9ab354b1504fca, 0xbfeffd36f624500c, // -0.026075, -0.99966
+ 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997
+ 0xbf978f535ddc9f03, 0xbfeffdd4dbf78f52, // -0.023008, -0.99974
+ 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977
+ 0xbf946b4381fce81c, 0xbfeffe5f05e578db, // -0.01994, -0.9998
+ 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983
+ 0xbf9147270dad7132, 0xbfeffed57398d2b7, // -0.016873, -0.99986
+ 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988
+ 0xbf8c45ffe1e48ad9, 0xbfefff3824c88f6f, // -0.013805, -0.9999
+ 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992
+ 0xbf85fda037ac05e0, 0xbfefff871937ce2f, // -0.010738, -0.99994
+ 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996
+ 0xbf7f6a65f9a2a3c5, 0xbfefffc250b5daef, //-0.0076698, -0.99997
+ 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998
+ 0xbf72d97822f996bc, 0xbfefffe9cb1e2e8d, //-0.0046019, -0.99999
+ 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1
+ 0xbf5921faaee6472d, 0xbfeffffd88586ee6, // -0.001534, -1
+ 0x0000000000000000, 0xbff0000000000000, // 0, -1
+ 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1
+ 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1
+ 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, // 0.0046019, -0.99999
+ 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998
+ 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, // 0.0076698, -0.99997
+ 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996
+ 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994
+ 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992
+ 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999
+ 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988
+ 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986
+ 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983
+ 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998
+ 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977
+ 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974
+ 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997
+ 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966
+ 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962
+ 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958
+ 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953
+ 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948
+ 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943
+ 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938
+ 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932
+ 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926
+ 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992
+ 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914
+ 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908
+ 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901
+ 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894
+ 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887
+ 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988
+ 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872
+ 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864
+ 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856
+ 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848
+ 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839
+ 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983
+ 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821
+ 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812
+ 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802
+ 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793
+ 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783
+ 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772
+ 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762
+ 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751
+ 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974
+ 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729
+ 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718
+ 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706
+ 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694
+ 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682
+ 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967
+ 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657
+ 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644
+ 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631
+ 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618
+ 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604
+ 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591
+ 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577
+ 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563
+ 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548
+ 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533
+ 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518
+ 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503
+ 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488
+ 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472
+ 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456
+ 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944
+ 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424
+ 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407
+ 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391
+ 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374
+ 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356
+ 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339
+ 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321
+ 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303
+ 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285
+ 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267
+ 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248
+ 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229
+ 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921
+ 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191
+ 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171
+ 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151
+ 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131
+ 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111
+ 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909
+ 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907
+ 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049
+ 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027
+ 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006
+ 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984
+ 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962
+ 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894
+ 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918
+ 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895
+ 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872
+ 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849
+ 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826
+ 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802
+ 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778
+ 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754
+ 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873
+ 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706
+ 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681
+ 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656
+ 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631
+ 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605
+ 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858
+ 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554
+ 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528
+ 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501
+ 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475
+ 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448
+ 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421
+ 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394
+ 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366
+ 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339
+ 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311
+ 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282
+ 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254
+ 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225
+ 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196
+ 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167
+ 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138
+ 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108
+ 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079
+ 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048
+ 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018
+ 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988
+ 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957
+ 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926
+ 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895
+ 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863
+ 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832
+ 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978
+ 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768
+ 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735
+ 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703
+ 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767
+ 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637
+ 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604
+ 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757
+ 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536
+ 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503
+ 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468
+ 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434
+ 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399
+ 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364
+ 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329
+ 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294
+ 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258
+ 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223
+ 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187
+ 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715
+ 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114
+ 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077
+ 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704
+ 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003
+ 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966
+ 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928
+ 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689
+ 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852
+ 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814
+ 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775
+ 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737
+ 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698
+ 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658
+ 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619
+ 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579
+ 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539
+ 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499
+ 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459
+ 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418
+ 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378
+ 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337
+ 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295
+ 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254
+ 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212
+ 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617
+ 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128
+ 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086
+ 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043
+ 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96
+ 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957
+ 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914
+ 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587
+ 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827
+ 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783
+ 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738
+ 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694
+ 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649
+ 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605
+ 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559
+ 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514
+ 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469
+ 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423
+ 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377
+ 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331
+ 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284
+ 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238
+ 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191
+ 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144
+ 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096
+ 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049
+ 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001
+ 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953
+ 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905
+ 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856
+ 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807
+ 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759
+ 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709
+ 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466
+ 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611
+ 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561
+ 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511
+ 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446
+ 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441
+ 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359
+ 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308
+ 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257
+ 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206
+ 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154
+ 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103
+ 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051
+ 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998
+ 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946
+ 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893
+ 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384
+ 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787
+ 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734
+ 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368
+ 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627
+ 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573
+ 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518
+ 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464
+ 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409
+ 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354
+ 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299
+ 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244
+ 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188
+ 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133
+ 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077
+ 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021
+ 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964
+ 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907
+ 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851
+ 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794
+ 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736
+ 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679
+ 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621
+ 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563
+ 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505
+ 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447
+ 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388
+ 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329
+ 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227
+ 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211
+ 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151
+ 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092
+ 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032
+ 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972
+ 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911
+ 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851
+ 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179
+ 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729
+ 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668
+ 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606
+ 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545
+ 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483
+ 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421
+ 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359
+ 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296
+ 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234
+ 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171
+ 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107
+ 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044
+ 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981
+ 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917
+ 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853
+ 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789
+ 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724
+ 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066
+ 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595
+ 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053
+ 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464
+ 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399
+ 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333
+ 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267
+ 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201
+ 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135
+ 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068
+ 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002
+ 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935
+ 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867
+ 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898
+ 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732
+ 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665
+ 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597
+ 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528
+ 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946
+ 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391
+ 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322
+ 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253
+ 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184
+ 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115
+ 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045
+ 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975
+ 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905
+ 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835
+ 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764
+ 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693
+ 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622
+ 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551
+ 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848
+ 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408
+ 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336
+ 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264
+ 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192
+ 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812
+ 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047
+ 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974
+ 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901
+ 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828
+ 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755
+ 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681
+ 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607
+ 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533
+ 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459
+ 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384
+ 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309
+ 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235
+ 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716
+ 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084
+ 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009
+ 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933
+ 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857
+ 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781
+ 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705
+ 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628
+ 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551
+ 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474
+ 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397
+ 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632
+ 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242
+ 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165
+ 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087
+ 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009
+ 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593
+ 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852
+ 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773
+ 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694
+ 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615
+ 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535
+ 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456
+ 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376
+ 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296
+ 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216
+ 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136
+ 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055
+ 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974
+ 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893
+ 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812
+ 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731
+ 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649
+ 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567
+ 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485
+ 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403
+ 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321
+ 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238
+ 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155
+ 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073
+ 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989
+ 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906
+ 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822
+ 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739
+ 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655
+ 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571
+ 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486
+ 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402
+ 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317
+ 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232
+ 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147
+ 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062
+ 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976
+ 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289
+ 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805
+ 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718
+ 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632
+ 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546
+ 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459
+ 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372
+ 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285
+ 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198
+ 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211
+ 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023
+ 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935
+ 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847
+ 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758
+ 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167
+ 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581
+ 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493
+ 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404
+ 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314
+ 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225
+ 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135
+ 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046
+ 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956
+ 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866
+ 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775
+ 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685
+ 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594
+ 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503
+ 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412
+ 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321
+ 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229
+ 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138
+ 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046
+ 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954
+ 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861
+ 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769
+ 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676
+ 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584
+ 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491
+ 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398
+ 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304
+ 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211
+ 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117
+ 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023
+ 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929
+ 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835
+ 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874
+ 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646
+ 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551
+ 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456
+ 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836
+ 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265
+ 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169
+ 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074
+ 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978
+ 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882
+ 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785
+ 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689
+ 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592
+ 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495
+ 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398
+ 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301
+ 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204
+ 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106
+ 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008
+ 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691
+ 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812
+ 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714
+ 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615
+ 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517
+ 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418
+ 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319
+ 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622
+ 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612
+ 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021
+ 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921
+ 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821
+ 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721
+ 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621
+ 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552
+ 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419
+ 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319
+ 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218
+ 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117
+ 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015
+ 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914
+ 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812
+ 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471
+ 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608
+ 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506
+ 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403
+ 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301
+ 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198
+ 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095
+ 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992
+ 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889
+ 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785
+ 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682
+ 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578
+ 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474
+ 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337
+ 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265
+ 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161
+ 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056
+ 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951
+ 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846
+ 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741
+ 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636
+ 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253
+ 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425
+ 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319
+ 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213
+ 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107
+ 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72
+ 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894
+ 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787
+ 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168
+ 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573
+ 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466
+ 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358
+ 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251
+ 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143
+ 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035
+ 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927
+ 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819
+ 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711
+ 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602
+ 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493
+ 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385
+ 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275
+ 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166
+ 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057
+ 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947
+ 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838
+ 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728
+ 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618
+ 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508
+ 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397
+ 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287
+ 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176
+ 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065
+ 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954
+ 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843
+ 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732
+ 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862
+ 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508
+ 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397
+ 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285
+ 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172
+ 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806
+ 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948
+ 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835
+ 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722
+ 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609
+ 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496
+ 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383
+ 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269
+ 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156
+ 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042
+ 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928
+ 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814
+ 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667
+ 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586
+ 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471
+ 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356
+ 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242
+ 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127
+ 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011
+ 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896
+ 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781
+ 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665
+ 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549
+ 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433
+ 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317
+ 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201
+ 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085
+ 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968
+ 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851
+ 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735
+ 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618
+ 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645
+ 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383
+ 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266
+ 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148
+ 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403
+ 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912
+ 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794
+ 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676
+ 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558
+ 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439
+ 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321
+ 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202
+ 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083
+ 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964
+ 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845
+ 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725
+ 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606
+ 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486
+ 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366
+ 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246
+ 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126
+ 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006
+ 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885
+ 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765
+ 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644
+ 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523
+ 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402
+ 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281
+ 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116
+ 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038
+ 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917
+ 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795
+ 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673
+ 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551
+ 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429
+ 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307
+ 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184
+ 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062
+ 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939
+ 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816
+ 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693
+ 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957
+ 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447
+ 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323
+ 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592
+ 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076
+ 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952
+ 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828
+ 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704
+ 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858
+ 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455
+ 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331
+ 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206
+ 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081
+ 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956
+ 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831
+ 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706
+ 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581
+ 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455
+ 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733
+ 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204
+ 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078
+ 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952
+ 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826
+ 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567
+ 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573
+ 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447
+ 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632
+ 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193
+ 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066
+ 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939
+ 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812
+ 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685
+ 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557
+ 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429
+ 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302
+ 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174
+ 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046
+ 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918
+ 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789
+ 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661
+ 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532
+ 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404
+ 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275
+ 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146
+ 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017
+ 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888
+ 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759
+ 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629
+ 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535
+ 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337
+ 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324
+ 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311
+ 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298
+ 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285
+ 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272
+ 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259
+ 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459
+ 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328
+ 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198
+ 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067
+ 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936
+ 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804
+ 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673
+ 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542
+ 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141
+ 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279
+ 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147
+ 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015
+ 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883
+ 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751
+ 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619
+ 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486
+ 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354
+ 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221
+ 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089
+ 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956
+ 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823
+ 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969
+ 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557
+ 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423
+ 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929
+ 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156
+ 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023
+ 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889
+ 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755
+ 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621
+ 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487
+ 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353
+ 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218
+ 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084
+ 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949
+ 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815
+ 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768
+ 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545
+ 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741
+ 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275
+ 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714
+ 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004
+ 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869
+ 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733
+ 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598
+ 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462
+ 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326
+ 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619
+ 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054
+ 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918
+ 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781
+ 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645
+ 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508
+ 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372
+ 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235
+ 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098
+ 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961
+ 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824
+ 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687
+ 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455
+ 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412
+ 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275
+ 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137
+ 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999
+ 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862
+ 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724
+ 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586
+ 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448
+ 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309
+ 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171
+ 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033
+ 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894
+ 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756
+ 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617
+ 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478
+ 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339
+ 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422
+ 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061
+ 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922
+ 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782
+ 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643
+ 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503
+ 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364
+ 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224
+ 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084
+ 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944
+ 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804
+ 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664
+ 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524
+ 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384
+ 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243
+ 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103
+ 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962
+ 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822
+ 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681
+ 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954
+ 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399
+ 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258
+ 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117
+ 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976
+ 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835
+ 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693
+ 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552
+ 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841
+ 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268
+ 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127
+ 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985
+ 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843
+ 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701
+ 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559
+ 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416
+ 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274
+ 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132
+ 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989
+ 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847
+ 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704
+ 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561
+ 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418
+ 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276
+ 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133
+ 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599
+ 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846
+ 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703
+ 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556
+ 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416
+ 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273
+ 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129
+ 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986
+ 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842
+ 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698
+ 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554
+ 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441
+ 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266
+ 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122
+ 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978
+ 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833
+ 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689
+ 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545
+ 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334
+ 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255
+ 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111
+ 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966
+ 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821
+ 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676
+ 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531
+ 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386
+ 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241
+ 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096
+ 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195
+ 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805
+ 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659
+ 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514
+ 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368
+ 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222
+ 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077
+ 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931
+ 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785
+ 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639
+ 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493
+ 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347
+ 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201
+ 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054
+ 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908
+ 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762
+ 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615
+ 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469
+ 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322
+ 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175
+ 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028
+ 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882
+ 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735
+ 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588
+ 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441
+ 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294
+ 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146
+ 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999
+ 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852
+ 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705
+ 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557
+ 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741
+ 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262
+ 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115
+ 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967
+ 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819
+ 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671
+ 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523
+ 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375
+ 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227
+ 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079
+ 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931
+ 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783
+ 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635
+ 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487
+ 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338
+ 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519
+ 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041
+ 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893
+ 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744
+ 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596
+ 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447
+ 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298
+ 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149
+ 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24
+ 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851
+ 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702
+ 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553
+ 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404
+ 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255
+ 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106
+ 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957
+ 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807
+ 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658
+ 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508
+ 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359
+ 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209
+ 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206
+ 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191
+ 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176
+ 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611
+ 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461
+ 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311
+ 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161
+ 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011
+ 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861
+ 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711
+ 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561
+ 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411
+ 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261
+ 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011
+ 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996
+ 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981
+ 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659
+ 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509
+ 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359
+ 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208
+ 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057
+ 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907
+ 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756
+ 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606
+ 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455
+ 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304
+ 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153
+ 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002
+ 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851
+ 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177
+ 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549
+ 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398
+ 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247
+ 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096
+ 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945
+ 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794
+ 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643
+ 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491
+ 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634
+ 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189
+ 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037
+ 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886
+ 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734
+ 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583
+ 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431
+ 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528
+ 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128
+ 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976
+ 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825
+ 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673
+ 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521
+ 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437
+ 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218
+ 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066
+ 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914
+ 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762
+ 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361
+ 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458
+ 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306
+ 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154
+ 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002
+ 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285
+ 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698
+ 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545
+ 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393
+ 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241
+ 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089
+ 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937
+ 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784
+ 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632
+ 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479
+ 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327
+ 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175
+ 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022
+ 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087
+ 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717
+ 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565
+ 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412
+ 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026
+ 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107
+ 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544
+ 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017
+ 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649
+ 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963
+ 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436
+ 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909
+ 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381
+ 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854
+ 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326
+ 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797
+ 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269
+ 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274
+ 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211
+ 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682
+ 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153
+ 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624
+ 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094
+ 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565
+ 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035
+ 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505
+ 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974
+ 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444
+ 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913
+ 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383
+ 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852
+ 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321
+ 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979
+ 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258
+ 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727
+ 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195
+ 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664
+ 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132
+ 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506
+ 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068
+ 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535
+ 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003
+ 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471
+ 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938
+ 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406
+ 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873
+ 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834
+ 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807
+ 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274
+ 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741
+ 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208
+ 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675
+ 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142
+ 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608
+ 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075
+ 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541
+ 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008
+ 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474
+ 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994
+ 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407
+ 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873
+ 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339
+ 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805
+ 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272
+ 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738
+ 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038
+ 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698
+ 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359
+ 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019
+ 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068
+ 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534
+
+
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_16[32] = {
+ 1.000000000f, 0.000000000f,
+ 0.923879533f, 0.382683432f,
+ 0.707106781f, 0.707106781f,
+ 0.382683432f, 0.923879533f,
+ 0.000000000f, 1.000000000f,
+ -0.382683432f, 0.923879533f,
+ -0.707106781f, 0.707106781f,
+ -0.923879533f, 0.382683432f,
+ -1.000000000f, 0.000000000f,
+ -0.923879533f, -0.382683432f,
+ -0.707106781f, -0.707106781f,
+ -0.382683432f, -0.923879533f,
+ -0.000000000f, -1.000000000f,
+ 0.382683432f, -0.923879533f,
+ 0.707106781f, -0.707106781f,
+ 0.923879533f, -0.382683432f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
+
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_32[64] = {
+ 1.000000000f, 0.000000000f,
+ 0.980785280f, 0.195090322f,
+ 0.923879533f, 0.382683432f,
+ 0.831469612f, 0.555570233f,
+ 0.707106781f, 0.707106781f,
+ 0.555570233f, 0.831469612f,
+ 0.382683432f, 0.923879533f,
+ 0.195090322f, 0.980785280f,
+ 0.000000000f, 1.000000000f,
+ -0.195090322f, 0.980785280f,
+ -0.382683432f, 0.923879533f,
+ -0.555570233f, 0.831469612f,
+ -0.707106781f, 0.707106781f,
+ -0.831469612f, 0.555570233f,
+ -0.923879533f, 0.382683432f,
+ -0.980785280f, 0.195090322f,
+ -1.000000000f, 0.000000000f,
+ -0.980785280f, -0.195090322f,
+ -0.923879533f, -0.382683432f,
+ -0.831469612f, -0.555570233f,
+ -0.707106781f, -0.707106781f,
+ -0.555570233f, -0.831469612f,
+ -0.382683432f, -0.923879533f,
+ -0.195090322f, -0.980785280f,
+ -0.000000000f, -1.000000000f,
+ 0.195090322f, -0.980785280f,
+ 0.382683432f, -0.923879533f,
+ 0.555570233f, -0.831469612f,
+ 0.707106781f, -0.707106781f,
+ 0.831469612f, -0.555570233f,
+ 0.923879533f, -0.382683432f,
+ 0.980785280f, -0.195090322f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i < N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_64[128] = {
+ 1.000000000f, 0.000000000f,
+ 0.995184727f, 0.098017140f,
+ 0.980785280f, 0.195090322f,
+ 0.956940336f, 0.290284677f,
+ 0.923879533f, 0.382683432f,
+ 0.881921264f, 0.471396737f,
+ 0.831469612f, 0.555570233f,
+ 0.773010453f, 0.634393284f,
+ 0.707106781f, 0.707106781f,
+ 0.634393284f, 0.773010453f,
+ 0.555570233f, 0.831469612f,
+ 0.471396737f, 0.881921264f,
+ 0.382683432f, 0.923879533f,
+ 0.290284677f, 0.956940336f,
+ 0.195090322f, 0.980785280f,
+ 0.098017140f, 0.995184727f,
+ 0.000000000f, 1.000000000f,
+ -0.098017140f, 0.995184727f,
+ -0.195090322f, 0.980785280f,
+ -0.290284677f, 0.956940336f,
+ -0.382683432f, 0.923879533f,
+ -0.471396737f, 0.881921264f,
+ -0.555570233f, 0.831469612f,
+ -0.634393284f, 0.773010453f,
+ -0.707106781f, 0.707106781f,
+ -0.773010453f, 0.634393284f,
+ -0.831469612f, 0.555570233f,
+ -0.881921264f, 0.471396737f,
+ -0.923879533f, 0.382683432f,
+ -0.956940336f, 0.290284677f,
+ -0.980785280f, 0.195090322f,
+ -0.995184727f, 0.098017140f,
+ -1.000000000f, 0.000000000f,
+ -0.995184727f, -0.098017140f,
+ -0.980785280f, -0.195090322f,
+ -0.956940336f, -0.290284677f,
+ -0.923879533f, -0.382683432f,
+ -0.881921264f, -0.471396737f,
+ -0.831469612f, -0.555570233f,
+ -0.773010453f, -0.634393284f,
+ -0.707106781f, -0.707106781f,
+ -0.634393284f, -0.773010453f,
+ -0.555570233f, -0.831469612f,
+ -0.471396737f, -0.881921264f,
+ -0.382683432f, -0.923879533f,
+ -0.290284677f, -0.956940336f,
+ -0.195090322f, -0.980785280f,
+ -0.098017140f, -0.995184727f,
+ -0.000000000f, -1.000000000f,
+ 0.098017140f, -0.995184727f,
+ 0.195090322f, -0.980785280f,
+ 0.290284677f, -0.956940336f,
+ 0.382683432f, -0.923879533f,
+ 0.471396737f, -0.881921264f,
+ 0.555570233f, -0.831469612f,
+ 0.634393284f, -0.773010453f,
+ 0.707106781f, -0.707106781f,
+ 0.773010453f, -0.634393284f,
+ 0.831469612f, -0.555570233f,
+ 0.881921264f, -0.471396737f,
+ 0.923879533f, -0.382683432f,
+ 0.956940336f, -0.290284677f,
+ 0.980785280f, -0.195090322f,
+ 0.995184727f, -0.098017140f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_128[256] = {
+ 1.000000000f, 0.000000000f,
+ 0.998795456f, 0.049067674f,
+ 0.995184727f, 0.098017140f,
+ 0.989176510f, 0.146730474f,
+ 0.980785280f, 0.195090322f,
+ 0.970031253f, 0.242980180f,
+ 0.956940336f, 0.290284677f,
+ 0.941544065f, 0.336889853f,
+ 0.923879533f, 0.382683432f,
+ 0.903989293f, 0.427555093f,
+ 0.881921264f, 0.471396737f,
+ 0.857728610f, 0.514102744f,
+ 0.831469612f, 0.555570233f,
+ 0.803207531f, 0.595699304f,
+ 0.773010453f, 0.634393284f,
+ 0.740951125f, 0.671558955f,
+ 0.707106781f, 0.707106781f,
+ 0.671558955f, 0.740951125f,
+ 0.634393284f, 0.773010453f,
+ 0.595699304f, 0.803207531f,
+ 0.555570233f, 0.831469612f,
+ 0.514102744f, 0.857728610f,
+ 0.471396737f, 0.881921264f,
+ 0.427555093f, 0.903989293f,
+ 0.382683432f, 0.923879533f,
+ 0.336889853f, 0.941544065f,
+ 0.290284677f, 0.956940336f,
+ 0.242980180f, 0.970031253f,
+ 0.195090322f, 0.980785280f,
+ 0.146730474f, 0.989176510f,
+ 0.098017140f, 0.995184727f,
+ 0.049067674f, 0.998795456f,
+ 0.000000000f, 1.000000000f,
+ -0.049067674f, 0.998795456f,
+ -0.098017140f, 0.995184727f,
+ -0.146730474f, 0.989176510f,
+ -0.195090322f, 0.980785280f,
+ -0.242980180f, 0.970031253f,
+ -0.290284677f, 0.956940336f,
+ -0.336889853f, 0.941544065f,
+ -0.382683432f, 0.923879533f,
+ -0.427555093f, 0.903989293f,
+ -0.471396737f, 0.881921264f,
+ -0.514102744f, 0.857728610f,
+ -0.555570233f, 0.831469612f,
+ -0.595699304f, 0.803207531f,
+ -0.634393284f, 0.773010453f,
+ -0.671558955f, 0.740951125f,
+ -0.707106781f, 0.707106781f,
+ -0.740951125f, 0.671558955f,
+ -0.773010453f, 0.634393284f,
+ -0.803207531f, 0.595699304f,
+ -0.831469612f, 0.555570233f,
+ -0.857728610f, 0.514102744f,
+ -0.881921264f, 0.471396737f,
+ -0.903989293f, 0.427555093f,
+ -0.923879533f, 0.382683432f,
+ -0.941544065f, 0.336889853f,
+ -0.956940336f, 0.290284677f,
+ -0.970031253f, 0.242980180f,
+ -0.980785280f, 0.195090322f,
+ -0.989176510f, 0.146730474f,
+ -0.995184727f, 0.098017140f,
+ -0.998795456f, 0.049067674f,
+ -1.000000000f, 0.000000000f,
+ -0.998795456f, -0.049067674f,
+ -0.995184727f, -0.098017140f,
+ -0.989176510f, -0.146730474f,
+ -0.980785280f, -0.195090322f,
+ -0.970031253f, -0.242980180f,
+ -0.956940336f, -0.290284677f,
+ -0.941544065f, -0.336889853f,
+ -0.923879533f, -0.382683432f,
+ -0.903989293f, -0.427555093f,
+ -0.881921264f, -0.471396737f,
+ -0.857728610f, -0.514102744f,
+ -0.831469612f, -0.555570233f,
+ -0.803207531f, -0.595699304f,
+ -0.773010453f, -0.634393284f,
+ -0.740951125f, -0.671558955f,
+ -0.707106781f, -0.707106781f,
+ -0.671558955f, -0.740951125f,
+ -0.634393284f, -0.773010453f,
+ -0.595699304f, -0.803207531f,
+ -0.555570233f, -0.831469612f,
+ -0.514102744f, -0.857728610f,
+ -0.471396737f, -0.881921264f,
+ -0.427555093f, -0.903989293f,
+ -0.382683432f, -0.923879533f,
+ -0.336889853f, -0.941544065f,
+ -0.290284677f, -0.956940336f,
+ -0.242980180f, -0.970031253f,
+ -0.195090322f, -0.980785280f,
+ -0.146730474f, -0.989176510f,
+ -0.098017140f, -0.995184727f,
+ -0.049067674f, -0.998795456f,
+ -0.000000000f, -1.000000000f,
+ 0.049067674f, -0.998795456f,
+ 0.098017140f, -0.995184727f,
+ 0.146730474f, -0.989176510f,
+ 0.195090322f, -0.980785280f,
+ 0.242980180f, -0.970031253f,
+ 0.290284677f, -0.956940336f,
+ 0.336889853f, -0.941544065f,
+ 0.382683432f, -0.923879533f,
+ 0.427555093f, -0.903989293f,
+ 0.471396737f, -0.881921264f,
+ 0.514102744f, -0.857728610f,
+ 0.555570233f, -0.831469612f,
+ 0.595699304f, -0.803207531f,
+ 0.634393284f, -0.773010453f,
+ 0.671558955f, -0.740951125f,
+ 0.707106781f, -0.707106781f,
+ 0.740951125f, -0.671558955f,
+ 0.773010453f, -0.634393284f,
+ 0.803207531f, -0.595699304f,
+ 0.831469612f, -0.555570233f,
+ 0.857728610f, -0.514102744f,
+ 0.881921264f, -0.471396737f,
+ 0.903989293f, -0.427555093f,
+ 0.923879533f, -0.382683432f,
+ 0.941544065f, -0.336889853f,
+ 0.956940336f, -0.290284677f,
+ 0.970031253f, -0.242980180f,
+ 0.980785280f, -0.195090322f,
+ 0.989176510f, -0.146730474f,
+ 0.995184727f, -0.098017140f,
+ 0.998795456f, -0.049067674f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for(i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_256[512] = {
+ 1.000000000f, 0.000000000f,
+ 0.999698819f, 0.024541229f,
+ 0.998795456f, 0.049067674f,
+ 0.997290457f, 0.073564564f,
+ 0.995184727f, 0.098017140f,
+ 0.992479535f, 0.122410675f,
+ 0.989176510f, 0.146730474f,
+ 0.985277642f, 0.170961889f,
+ 0.980785280f, 0.195090322f,
+ 0.975702130f, 0.219101240f,
+ 0.970031253f, 0.242980180f,
+ 0.963776066f, 0.266712757f,
+ 0.956940336f, 0.290284677f,
+ 0.949528181f, 0.313681740f,
+ 0.941544065f, 0.336889853f,
+ 0.932992799f, 0.359895037f,
+ 0.923879533f, 0.382683432f,
+ 0.914209756f, 0.405241314f,
+ 0.903989293f, 0.427555093f,
+ 0.893224301f, 0.449611330f,
+ 0.881921264f, 0.471396737f,
+ 0.870086991f, 0.492898192f,
+ 0.857728610f, 0.514102744f,
+ 0.844853565f, 0.534997620f,
+ 0.831469612f, 0.555570233f,
+ 0.817584813f, 0.575808191f,
+ 0.803207531f, 0.595699304f,
+ 0.788346428f, 0.615231591f,
+ 0.773010453f, 0.634393284f,
+ 0.757208847f, 0.653172843f,
+ 0.740951125f, 0.671558955f,
+ 0.724247083f, 0.689540545f,
+ 0.707106781f, 0.707106781f,
+ 0.689540545f, 0.724247083f,
+ 0.671558955f, 0.740951125f,
+ 0.653172843f, 0.757208847f,
+ 0.634393284f, 0.773010453f,
+ 0.615231591f, 0.788346428f,
+ 0.595699304f, 0.803207531f,
+ 0.575808191f, 0.817584813f,
+ 0.555570233f, 0.831469612f,
+ 0.534997620f, 0.844853565f,
+ 0.514102744f, 0.857728610f,
+ 0.492898192f, 0.870086991f,
+ 0.471396737f, 0.881921264f,
+ 0.449611330f, 0.893224301f,
+ 0.427555093f, 0.903989293f,
+ 0.405241314f, 0.914209756f,
+ 0.382683432f, 0.923879533f,
+ 0.359895037f, 0.932992799f,
+ 0.336889853f, 0.941544065f,
+ 0.313681740f, 0.949528181f,
+ 0.290284677f, 0.956940336f,
+ 0.266712757f, 0.963776066f,
+ 0.242980180f, 0.970031253f,
+ 0.219101240f, 0.975702130f,
+ 0.195090322f, 0.980785280f,
+ 0.170961889f, 0.985277642f,
+ 0.146730474f, 0.989176510f,
+ 0.122410675f, 0.992479535f,
+ 0.098017140f, 0.995184727f,
+ 0.073564564f, 0.997290457f,
+ 0.049067674f, 0.998795456f,
+ 0.024541229f, 0.999698819f,
+ 0.000000000f, 1.000000000f,
+ -0.024541229f, 0.999698819f,
+ -0.049067674f, 0.998795456f,
+ -0.073564564f, 0.997290457f,
+ -0.098017140f, 0.995184727f,
+ -0.122410675f, 0.992479535f,
+ -0.146730474f, 0.989176510f,
+ -0.170961889f, 0.985277642f,
+ -0.195090322f, 0.980785280f,
+ -0.219101240f, 0.975702130f,
+ -0.242980180f, 0.970031253f,
+ -0.266712757f, 0.963776066f,
+ -0.290284677f, 0.956940336f,
+ -0.313681740f, 0.949528181f,
+ -0.336889853f, 0.941544065f,
+ -0.359895037f, 0.932992799f,
+ -0.382683432f, 0.923879533f,
+ -0.405241314f, 0.914209756f,
+ -0.427555093f, 0.903989293f,
+ -0.449611330f, 0.893224301f,
+ -0.471396737f, 0.881921264f,
+ -0.492898192f, 0.870086991f,
+ -0.514102744f, 0.857728610f,
+ -0.534997620f, 0.844853565f,
+ -0.555570233f, 0.831469612f,
+ -0.575808191f, 0.817584813f,
+ -0.595699304f, 0.803207531f,
+ -0.615231591f, 0.788346428f,
+ -0.634393284f, 0.773010453f,
+ -0.653172843f, 0.757208847f,
+ -0.671558955f, 0.740951125f,
+ -0.689540545f, 0.724247083f,
+ -0.707106781f, 0.707106781f,
+ -0.724247083f, 0.689540545f,
+ -0.740951125f, 0.671558955f,
+ -0.757208847f, 0.653172843f,
+ -0.773010453f, 0.634393284f,
+ -0.788346428f, 0.615231591f,
+ -0.803207531f, 0.595699304f,
+ -0.817584813f, 0.575808191f,
+ -0.831469612f, 0.555570233f,
+ -0.844853565f, 0.534997620f,
+ -0.857728610f, 0.514102744f,
+ -0.870086991f, 0.492898192f,
+ -0.881921264f, 0.471396737f,
+ -0.893224301f, 0.449611330f,
+ -0.903989293f, 0.427555093f,
+ -0.914209756f, 0.405241314f,
+ -0.923879533f, 0.382683432f,
+ -0.932992799f, 0.359895037f,
+ -0.941544065f, 0.336889853f,
+ -0.949528181f, 0.313681740f,
+ -0.956940336f, 0.290284677f,
+ -0.963776066f, 0.266712757f,
+ -0.970031253f, 0.242980180f,
+ -0.975702130f, 0.219101240f,
+ -0.980785280f, 0.195090322f,
+ -0.985277642f, 0.170961889f,
+ -0.989176510f, 0.146730474f,
+ -0.992479535f, 0.122410675f,
+ -0.995184727f, 0.098017140f,
+ -0.997290457f, 0.073564564f,
+ -0.998795456f, 0.049067674f,
+ -0.999698819f, 0.024541229f,
+ -1.000000000f, 0.000000000f,
+ -0.999698819f, -0.024541229f,
+ -0.998795456f, -0.049067674f,
+ -0.997290457f, -0.073564564f,
+ -0.995184727f, -0.098017140f,
+ -0.992479535f, -0.122410675f,
+ -0.989176510f, -0.146730474f,
+ -0.985277642f, -0.170961889f,
+ -0.980785280f, -0.195090322f,
+ -0.975702130f, -0.219101240f,
+ -0.970031253f, -0.242980180f,
+ -0.963776066f, -0.266712757f,
+ -0.956940336f, -0.290284677f,
+ -0.949528181f, -0.313681740f,
+ -0.941544065f, -0.336889853f,
+ -0.932992799f, -0.359895037f,
+ -0.923879533f, -0.382683432f,
+ -0.914209756f, -0.405241314f,
+ -0.903989293f, -0.427555093f,
+ -0.893224301f, -0.449611330f,
+ -0.881921264f, -0.471396737f,
+ -0.870086991f, -0.492898192f,
+ -0.857728610f, -0.514102744f,
+ -0.844853565f, -0.534997620f,
+ -0.831469612f, -0.555570233f,
+ -0.817584813f, -0.575808191f,
+ -0.803207531f, -0.595699304f,
+ -0.788346428f, -0.615231591f,
+ -0.773010453f, -0.634393284f,
+ -0.757208847f, -0.653172843f,
+ -0.740951125f, -0.671558955f,
+ -0.724247083f, -0.689540545f,
+ -0.707106781f, -0.707106781f,
+ -0.689540545f, -0.724247083f,
+ -0.671558955f, -0.740951125f,
+ -0.653172843f, -0.757208847f,
+ -0.634393284f, -0.773010453f,
+ -0.615231591f, -0.788346428f,
+ -0.595699304f, -0.803207531f,
+ -0.575808191f, -0.817584813f,
+ -0.555570233f, -0.831469612f,
+ -0.534997620f, -0.844853565f,
+ -0.514102744f, -0.857728610f,
+ -0.492898192f, -0.870086991f,
+ -0.471396737f, -0.881921264f,
+ -0.449611330f, -0.893224301f,
+ -0.427555093f, -0.903989293f,
+ -0.405241314f, -0.914209756f,
+ -0.382683432f, -0.923879533f,
+ -0.359895037f, -0.932992799f,
+ -0.336889853f, -0.941544065f,
+ -0.313681740f, -0.949528181f,
+ -0.290284677f, -0.956940336f,
+ -0.266712757f, -0.963776066f,
+ -0.242980180f, -0.970031253f,
+ -0.219101240f, -0.975702130f,
+ -0.195090322f, -0.980785280f,
+ -0.170961889f, -0.985277642f,
+ -0.146730474f, -0.989176510f,
+ -0.122410675f, -0.992479535f,
+ -0.098017140f, -0.995184727f,
+ -0.073564564f, -0.997290457f,
+ -0.049067674f, -0.998795456f,
+ -0.024541229f, -0.999698819f,
+ -0.000000000f, -1.000000000f,
+ 0.024541229f, -0.999698819f,
+ 0.049067674f, -0.998795456f,
+ 0.073564564f, -0.997290457f,
+ 0.098017140f, -0.995184727f,
+ 0.122410675f, -0.992479535f,
+ 0.146730474f, -0.989176510f,
+ 0.170961889f, -0.985277642f,
+ 0.195090322f, -0.980785280f,
+ 0.219101240f, -0.975702130f,
+ 0.242980180f, -0.970031253f,
+ 0.266712757f, -0.963776066f,
+ 0.290284677f, -0.956940336f,
+ 0.313681740f, -0.949528181f,
+ 0.336889853f, -0.941544065f,
+ 0.359895037f, -0.932992799f,
+ 0.382683432f, -0.923879533f,
+ 0.405241314f, -0.914209756f,
+ 0.427555093f, -0.903989293f,
+ 0.449611330f, -0.893224301f,
+ 0.471396737f, -0.881921264f,
+ 0.492898192f, -0.870086991f,
+ 0.514102744f, -0.857728610f,
+ 0.534997620f, -0.844853565f,
+ 0.555570233f, -0.831469612f,
+ 0.575808191f, -0.817584813f,
+ 0.595699304f, -0.803207531f,
+ 0.615231591f, -0.788346428f,
+ 0.634393284f, -0.773010453f,
+ 0.653172843f, -0.757208847f,
+ 0.671558955f, -0.740951125f,
+ 0.689540545f, -0.724247083f,
+ 0.707106781f, -0.707106781f,
+ 0.724247083f, -0.689540545f,
+ 0.740951125f, -0.671558955f,
+ 0.757208847f, -0.653172843f,
+ 0.773010453f, -0.634393284f,
+ 0.788346428f, -0.615231591f,
+ 0.803207531f, -0.595699304f,
+ 0.817584813f, -0.575808191f,
+ 0.831469612f, -0.555570233f,
+ 0.844853565f, -0.534997620f,
+ 0.857728610f, -0.514102744f,
+ 0.870086991f, -0.492898192f,
+ 0.881921264f, -0.471396737f,
+ 0.893224301f, -0.449611330f,
+ 0.903989293f, -0.427555093f,
+ 0.914209756f, -0.405241314f,
+ 0.923879533f, -0.382683432f,
+ 0.932992799f, -0.359895037f,
+ 0.941544065f, -0.336889853f,
+ 0.949528181f, -0.313681740f,
+ 0.956940336f, -0.290284677f,
+ 0.963776066f, -0.266712757f,
+ 0.970031253f, -0.242980180f,
+ 0.975702130f, -0.219101240f,
+ 0.980785280f, -0.195090322f,
+ 0.985277642f, -0.170961889f,
+ 0.989176510f, -0.146730474f,
+ 0.992479535f, -0.122410675f,
+ 0.995184727f, -0.098017140f,
+ 0.997290457f, -0.073564564f,
+ 0.998795456f, -0.049067674f,
+ 0.999698819f, -0.024541229f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_512[1024] = {
+ 1.000000000f, 0.000000000f,
+ 0.999924702f, 0.012271538f,
+ 0.999698819f, 0.024541229f,
+ 0.999322385f, 0.036807223f,
+ 0.998795456f, 0.049067674f,
+ 0.998118113f, 0.061320736f,
+ 0.997290457f, 0.073564564f,
+ 0.996312612f, 0.085797312f,
+ 0.995184727f, 0.098017140f,
+ 0.993906970f, 0.110222207f,
+ 0.992479535f, 0.122410675f,
+ 0.990902635f, 0.134580709f,
+ 0.989176510f, 0.146730474f,
+ 0.987301418f, 0.158858143f,
+ 0.985277642f, 0.170961889f,
+ 0.983105487f, 0.183039888f,
+ 0.980785280f, 0.195090322f,
+ 0.978317371f, 0.207111376f,
+ 0.975702130f, 0.219101240f,
+ 0.972939952f, 0.231058108f,
+ 0.970031253f, 0.242980180f,
+ 0.966976471f, 0.254865660f,
+ 0.963776066f, 0.266712757f,
+ 0.960430519f, 0.278519689f,
+ 0.956940336f, 0.290284677f,
+ 0.953306040f, 0.302005949f,
+ 0.949528181f, 0.313681740f,
+ 0.945607325f, 0.325310292f,
+ 0.941544065f, 0.336889853f,
+ 0.937339012f, 0.348418680f,
+ 0.932992799f, 0.359895037f,
+ 0.928506080f, 0.371317194f,
+ 0.923879533f, 0.382683432f,
+ 0.919113852f, 0.393992040f,
+ 0.914209756f, 0.405241314f,
+ 0.909167983f, 0.416429560f,
+ 0.903989293f, 0.427555093f,
+ 0.898674466f, 0.438616239f,
+ 0.893224301f, 0.449611330f,
+ 0.887639620f, 0.460538711f,
+ 0.881921264f, 0.471396737f,
+ 0.876070094f, 0.482183772f,
+ 0.870086991f, 0.492898192f,
+ 0.863972856f, 0.503538384f,
+ 0.857728610f, 0.514102744f,
+ 0.851355193f, 0.524589683f,
+ 0.844853565f, 0.534997620f,
+ 0.838224706f, 0.545324988f,
+ 0.831469612f, 0.555570233f,
+ 0.824589303f, 0.565731811f,
+ 0.817584813f, 0.575808191f,
+ 0.810457198f, 0.585797857f,
+ 0.803207531f, 0.595699304f,
+ 0.795836905f, 0.605511041f,
+ 0.788346428f, 0.615231591f,
+ 0.780737229f, 0.624859488f,
+ 0.773010453f, 0.634393284f,
+ 0.765167266f, 0.643831543f,
+ 0.757208847f, 0.653172843f,
+ 0.749136395f, 0.662415778f,
+ 0.740951125f, 0.671558955f,
+ 0.732654272f, 0.680600998f,
+ 0.724247083f, 0.689540545f,
+ 0.715730825f, 0.698376249f,
+ 0.707106781f, 0.707106781f,
+ 0.698376249f, 0.715730825f,
+ 0.689540545f, 0.724247083f,
+ 0.680600998f, 0.732654272f,
+ 0.671558955f, 0.740951125f,
+ 0.662415778f, 0.749136395f,
+ 0.653172843f, 0.757208847f,
+ 0.643831543f, 0.765167266f,
+ 0.634393284f, 0.773010453f,
+ 0.624859488f, 0.780737229f,
+ 0.615231591f, 0.788346428f,
+ 0.605511041f, 0.795836905f,
+ 0.595699304f, 0.803207531f,
+ 0.585797857f, 0.810457198f,
+ 0.575808191f, 0.817584813f,
+ 0.565731811f, 0.824589303f,
+ 0.555570233f, 0.831469612f,
+ 0.545324988f, 0.838224706f,
+ 0.534997620f, 0.844853565f,
+ 0.524589683f, 0.851355193f,
+ 0.514102744f, 0.857728610f,
+ 0.503538384f, 0.863972856f,
+ 0.492898192f, 0.870086991f,
+ 0.482183772f, 0.876070094f,
+ 0.471396737f, 0.881921264f,
+ 0.460538711f, 0.887639620f,
+ 0.449611330f, 0.893224301f,
+ 0.438616239f, 0.898674466f,
+ 0.427555093f, 0.903989293f,
+ 0.416429560f, 0.909167983f,
+ 0.405241314f, 0.914209756f,
+ 0.393992040f, 0.919113852f,
+ 0.382683432f, 0.923879533f,
+ 0.371317194f, 0.928506080f,
+ 0.359895037f, 0.932992799f,
+ 0.348418680f, 0.937339012f,
+ 0.336889853f, 0.941544065f,
+ 0.325310292f, 0.945607325f,
+ 0.313681740f, 0.949528181f,
+ 0.302005949f, 0.953306040f,
+ 0.290284677f, 0.956940336f,
+ 0.278519689f, 0.960430519f,
+ 0.266712757f, 0.963776066f,
+ 0.254865660f, 0.966976471f,
+ 0.242980180f, 0.970031253f,
+ 0.231058108f, 0.972939952f,
+ 0.219101240f, 0.975702130f,
+ 0.207111376f, 0.978317371f,
+ 0.195090322f, 0.980785280f,
+ 0.183039888f, 0.983105487f,
+ 0.170961889f, 0.985277642f,
+ 0.158858143f, 0.987301418f,
+ 0.146730474f, 0.989176510f,
+ 0.134580709f, 0.990902635f,
+ 0.122410675f, 0.992479535f,
+ 0.110222207f, 0.993906970f,
+ 0.098017140f, 0.995184727f,
+ 0.085797312f, 0.996312612f,
+ 0.073564564f, 0.997290457f,
+ 0.061320736f, 0.998118113f,
+ 0.049067674f, 0.998795456f,
+ 0.036807223f, 0.999322385f,
+ 0.024541229f, 0.999698819f,
+ 0.012271538f, 0.999924702f,
+ 0.000000000f, 1.000000000f,
+ -0.012271538f, 0.999924702f,
+ -0.024541229f, 0.999698819f,
+ -0.036807223f, 0.999322385f,
+ -0.049067674f, 0.998795456f,
+ -0.061320736f, 0.998118113f,
+ -0.073564564f, 0.997290457f,
+ -0.085797312f, 0.996312612f,
+ -0.098017140f, 0.995184727f,
+ -0.110222207f, 0.993906970f,
+ -0.122410675f, 0.992479535f,
+ -0.134580709f, 0.990902635f,
+ -0.146730474f, 0.989176510f,
+ -0.158858143f, 0.987301418f,
+ -0.170961889f, 0.985277642f,
+ -0.183039888f, 0.983105487f,
+ -0.195090322f, 0.980785280f,
+ -0.207111376f, 0.978317371f,
+ -0.219101240f, 0.975702130f,
+ -0.231058108f, 0.972939952f,
+ -0.242980180f, 0.970031253f,
+ -0.254865660f, 0.966976471f,
+ -0.266712757f, 0.963776066f,
+ -0.278519689f, 0.960430519f,
+ -0.290284677f, 0.956940336f,
+ -0.302005949f, 0.953306040f,
+ -0.313681740f, 0.949528181f,
+ -0.325310292f, 0.945607325f,
+ -0.336889853f, 0.941544065f,
+ -0.348418680f, 0.937339012f,
+ -0.359895037f, 0.932992799f,
+ -0.371317194f, 0.928506080f,
+ -0.382683432f, 0.923879533f,
+ -0.393992040f, 0.919113852f,
+ -0.405241314f, 0.914209756f,
+ -0.416429560f, 0.909167983f,
+ -0.427555093f, 0.903989293f,
+ -0.438616239f, 0.898674466f,
+ -0.449611330f, 0.893224301f,
+ -0.460538711f, 0.887639620f,
+ -0.471396737f, 0.881921264f,
+ -0.482183772f, 0.876070094f,
+ -0.492898192f, 0.870086991f,
+ -0.503538384f, 0.863972856f,
+ -0.514102744f, 0.857728610f,
+ -0.524589683f, 0.851355193f,
+ -0.534997620f, 0.844853565f,
+ -0.545324988f, 0.838224706f,
+ -0.555570233f, 0.831469612f,
+ -0.565731811f, 0.824589303f,
+ -0.575808191f, 0.817584813f,
+ -0.585797857f, 0.810457198f,
+ -0.595699304f, 0.803207531f,
+ -0.605511041f, 0.795836905f,
+ -0.615231591f, 0.788346428f,
+ -0.624859488f, 0.780737229f,
+ -0.634393284f, 0.773010453f,
+ -0.643831543f, 0.765167266f,
+ -0.653172843f, 0.757208847f,
+ -0.662415778f, 0.749136395f,
+ -0.671558955f, 0.740951125f,
+ -0.680600998f, 0.732654272f,
+ -0.689540545f, 0.724247083f,
+ -0.698376249f, 0.715730825f,
+ -0.707106781f, 0.707106781f,
+ -0.715730825f, 0.698376249f,
+ -0.724247083f, 0.689540545f,
+ -0.732654272f, 0.680600998f,
+ -0.740951125f, 0.671558955f,
+ -0.749136395f, 0.662415778f,
+ -0.757208847f, 0.653172843f,
+ -0.765167266f, 0.643831543f,
+ -0.773010453f, 0.634393284f,
+ -0.780737229f, 0.624859488f,
+ -0.788346428f, 0.615231591f,
+ -0.795836905f, 0.605511041f,
+ -0.803207531f, 0.595699304f,
+ -0.810457198f, 0.585797857f,
+ -0.817584813f, 0.575808191f,
+ -0.824589303f, 0.565731811f,
+ -0.831469612f, 0.555570233f,
+ -0.838224706f, 0.545324988f,
+ -0.844853565f, 0.534997620f,
+ -0.851355193f, 0.524589683f,
+ -0.857728610f, 0.514102744f,
+ -0.863972856f, 0.503538384f,
+ -0.870086991f, 0.492898192f,
+ -0.876070094f, 0.482183772f,
+ -0.881921264f, 0.471396737f,
+ -0.887639620f, 0.460538711f,
+ -0.893224301f, 0.449611330f,
+ -0.898674466f, 0.438616239f,
+ -0.903989293f, 0.427555093f,
+ -0.909167983f, 0.416429560f,
+ -0.914209756f, 0.405241314f,
+ -0.919113852f, 0.393992040f,
+ -0.923879533f, 0.382683432f,
+ -0.928506080f, 0.371317194f,
+ -0.932992799f, 0.359895037f,
+ -0.937339012f, 0.348418680f,
+ -0.941544065f, 0.336889853f,
+ -0.945607325f, 0.325310292f,
+ -0.949528181f, 0.313681740f,
+ -0.953306040f, 0.302005949f,
+ -0.956940336f, 0.290284677f,
+ -0.960430519f, 0.278519689f,
+ -0.963776066f, 0.266712757f,
+ -0.966976471f, 0.254865660f,
+ -0.970031253f, 0.242980180f,
+ -0.972939952f, 0.231058108f,
+ -0.975702130f, 0.219101240f,
+ -0.978317371f, 0.207111376f,
+ -0.980785280f, 0.195090322f,
+ -0.983105487f, 0.183039888f,
+ -0.985277642f, 0.170961889f,
+ -0.987301418f, 0.158858143f,
+ -0.989176510f, 0.146730474f,
+ -0.990902635f, 0.134580709f,
+ -0.992479535f, 0.122410675f,
+ -0.993906970f, 0.110222207f,
+ -0.995184727f, 0.098017140f,
+ -0.996312612f, 0.085797312f,
+ -0.997290457f, 0.073564564f,
+ -0.998118113f, 0.061320736f,
+ -0.998795456f, 0.049067674f,
+ -0.999322385f, 0.036807223f,
+ -0.999698819f, 0.024541229f,
+ -0.999924702f, 0.012271538f,
+ -1.000000000f, 0.000000000f,
+ -0.999924702f, -0.012271538f,
+ -0.999698819f, -0.024541229f,
+ -0.999322385f, -0.036807223f,
+ -0.998795456f, -0.049067674f,
+ -0.998118113f, -0.061320736f,
+ -0.997290457f, -0.073564564f,
+ -0.996312612f, -0.085797312f,
+ -0.995184727f, -0.098017140f,
+ -0.993906970f, -0.110222207f,
+ -0.992479535f, -0.122410675f,
+ -0.990902635f, -0.134580709f,
+ -0.989176510f, -0.146730474f,
+ -0.987301418f, -0.158858143f,
+ -0.985277642f, -0.170961889f,
+ -0.983105487f, -0.183039888f,
+ -0.980785280f, -0.195090322f,
+ -0.978317371f, -0.207111376f,
+ -0.975702130f, -0.219101240f,
+ -0.972939952f, -0.231058108f,
+ -0.970031253f, -0.242980180f,
+ -0.966976471f, -0.254865660f,
+ -0.963776066f, -0.266712757f,
+ -0.960430519f, -0.278519689f,
+ -0.956940336f, -0.290284677f,
+ -0.953306040f, -0.302005949f,
+ -0.949528181f, -0.313681740f,
+ -0.945607325f, -0.325310292f,
+ -0.941544065f, -0.336889853f,
+ -0.937339012f, -0.348418680f,
+ -0.932992799f, -0.359895037f,
+ -0.928506080f, -0.371317194f,
+ -0.923879533f, -0.382683432f,
+ -0.919113852f, -0.393992040f,
+ -0.914209756f, -0.405241314f,
+ -0.909167983f, -0.416429560f,
+ -0.903989293f, -0.427555093f,
+ -0.898674466f, -0.438616239f,
+ -0.893224301f, -0.449611330f,
+ -0.887639620f, -0.460538711f,
+ -0.881921264f, -0.471396737f,
+ -0.876070094f, -0.482183772f,
+ -0.870086991f, -0.492898192f,
+ -0.863972856f, -0.503538384f,
+ -0.857728610f, -0.514102744f,
+ -0.851355193f, -0.524589683f,
+ -0.844853565f, -0.534997620f,
+ -0.838224706f, -0.545324988f,
+ -0.831469612f, -0.555570233f,
+ -0.824589303f, -0.565731811f,
+ -0.817584813f, -0.575808191f,
+ -0.810457198f, -0.585797857f,
+ -0.803207531f, -0.595699304f,
+ -0.795836905f, -0.605511041f,
+ -0.788346428f, -0.615231591f,
+ -0.780737229f, -0.624859488f,
+ -0.773010453f, -0.634393284f,
+ -0.765167266f, -0.643831543f,
+ -0.757208847f, -0.653172843f,
+ -0.749136395f, -0.662415778f,
+ -0.740951125f, -0.671558955f,
+ -0.732654272f, -0.680600998f,
+ -0.724247083f, -0.689540545f,
+ -0.715730825f, -0.698376249f,
+ -0.707106781f, -0.707106781f,
+ -0.698376249f, -0.715730825f,
+ -0.689540545f, -0.724247083f,
+ -0.680600998f, -0.732654272f,
+ -0.671558955f, -0.740951125f,
+ -0.662415778f, -0.749136395f,
+ -0.653172843f, -0.757208847f,
+ -0.643831543f, -0.765167266f,
+ -0.634393284f, -0.773010453f,
+ -0.624859488f, -0.780737229f,
+ -0.615231591f, -0.788346428f,
+ -0.605511041f, -0.795836905f,
+ -0.595699304f, -0.803207531f,
+ -0.585797857f, -0.810457198f,
+ -0.575808191f, -0.817584813f,
+ -0.565731811f, -0.824589303f,
+ -0.555570233f, -0.831469612f,
+ -0.545324988f, -0.838224706f,
+ -0.534997620f, -0.844853565f,
+ -0.524589683f, -0.851355193f,
+ -0.514102744f, -0.857728610f,
+ -0.503538384f, -0.863972856f,
+ -0.492898192f, -0.870086991f,
+ -0.482183772f, -0.876070094f,
+ -0.471396737f, -0.881921264f,
+ -0.460538711f, -0.887639620f,
+ -0.449611330f, -0.893224301f,
+ -0.438616239f, -0.898674466f,
+ -0.427555093f, -0.903989293f,
+ -0.416429560f, -0.909167983f,
+ -0.405241314f, -0.914209756f,
+ -0.393992040f, -0.919113852f,
+ -0.382683432f, -0.923879533f,
+ -0.371317194f, -0.928506080f,
+ -0.359895037f, -0.932992799f,
+ -0.348418680f, -0.937339012f,
+ -0.336889853f, -0.941544065f,
+ -0.325310292f, -0.945607325f,
+ -0.313681740f, -0.949528181f,
+ -0.302005949f, -0.953306040f,
+ -0.290284677f, -0.956940336f,
+ -0.278519689f, -0.960430519f,
+ -0.266712757f, -0.963776066f,
+ -0.254865660f, -0.966976471f,
+ -0.242980180f, -0.970031253f,
+ -0.231058108f, -0.972939952f,
+ -0.219101240f, -0.975702130f,
+ -0.207111376f, -0.978317371f,
+ -0.195090322f, -0.980785280f,
+ -0.183039888f, -0.983105487f,
+ -0.170961889f, -0.985277642f,
+ -0.158858143f, -0.987301418f,
+ -0.146730474f, -0.989176510f,
+ -0.134580709f, -0.990902635f,
+ -0.122410675f, -0.992479535f,
+ -0.110222207f, -0.993906970f,
+ -0.098017140f, -0.995184727f,
+ -0.085797312f, -0.996312612f,
+ -0.073564564f, -0.997290457f,
+ -0.061320736f, -0.998118113f,
+ -0.049067674f, -0.998795456f,
+ -0.036807223f, -0.999322385f,
+ -0.024541229f, -0.999698819f,
+ -0.012271538f, -0.999924702f,
+ -0.000000000f, -1.000000000f,
+ 0.012271538f, -0.999924702f,
+ 0.024541229f, -0.999698819f,
+ 0.036807223f, -0.999322385f,
+ 0.049067674f, -0.998795456f,
+ 0.061320736f, -0.998118113f,
+ 0.073564564f, -0.997290457f,
+ 0.085797312f, -0.996312612f,
+ 0.098017140f, -0.995184727f,
+ 0.110222207f, -0.993906970f,
+ 0.122410675f, -0.992479535f,
+ 0.134580709f, -0.990902635f,
+ 0.146730474f, -0.989176510f,
+ 0.158858143f, -0.987301418f,
+ 0.170961889f, -0.985277642f,
+ 0.183039888f, -0.983105487f,
+ 0.195090322f, -0.980785280f,
+ 0.207111376f, -0.978317371f,
+ 0.219101240f, -0.975702130f,
+ 0.231058108f, -0.972939952f,
+ 0.242980180f, -0.970031253f,
+ 0.254865660f, -0.966976471f,
+ 0.266712757f, -0.963776066f,
+ 0.278519689f, -0.960430519f,
+ 0.290284677f, -0.956940336f,
+ 0.302005949f, -0.953306040f,
+ 0.313681740f, -0.949528181f,
+ 0.325310292f, -0.945607325f,
+ 0.336889853f, -0.941544065f,
+ 0.348418680f, -0.937339012f,
+ 0.359895037f, -0.932992799f,
+ 0.371317194f, -0.928506080f,
+ 0.382683432f, -0.923879533f,
+ 0.393992040f, -0.919113852f,
+ 0.405241314f, -0.914209756f,
+ 0.416429560f, -0.909167983f,
+ 0.427555093f, -0.903989293f,
+ 0.438616239f, -0.898674466f,
+ 0.449611330f, -0.893224301f,
+ 0.460538711f, -0.887639620f,
+ 0.471396737f, -0.881921264f,
+ 0.482183772f, -0.876070094f,
+ 0.492898192f, -0.870086991f,
+ 0.503538384f, -0.863972856f,
+ 0.514102744f, -0.857728610f,
+ 0.524589683f, -0.851355193f,
+ 0.534997620f, -0.844853565f,
+ 0.545324988f, -0.838224706f,
+ 0.555570233f, -0.831469612f,
+ 0.565731811f, -0.824589303f,
+ 0.575808191f, -0.817584813f,
+ 0.585797857f, -0.810457198f,
+ 0.595699304f, -0.803207531f,
+ 0.605511041f, -0.795836905f,
+ 0.615231591f, -0.788346428f,
+ 0.624859488f, -0.780737229f,
+ 0.634393284f, -0.773010453f,
+ 0.643831543f, -0.765167266f,
+ 0.653172843f, -0.757208847f,
+ 0.662415778f, -0.749136395f,
+ 0.671558955f, -0.740951125f,
+ 0.680600998f, -0.732654272f,
+ 0.689540545f, -0.724247083f,
+ 0.698376249f, -0.715730825f,
+ 0.707106781f, -0.707106781f,
+ 0.715730825f, -0.698376249f,
+ 0.724247083f, -0.689540545f,
+ 0.732654272f, -0.680600998f,
+ 0.740951125f, -0.671558955f,
+ 0.749136395f, -0.662415778f,
+ 0.757208847f, -0.653172843f,
+ 0.765167266f, -0.643831543f,
+ 0.773010453f, -0.634393284f,
+ 0.780737229f, -0.624859488f,
+ 0.788346428f, -0.615231591f,
+ 0.795836905f, -0.605511041f,
+ 0.803207531f, -0.595699304f,
+ 0.810457198f, -0.585797857f,
+ 0.817584813f, -0.575808191f,
+ 0.824589303f, -0.565731811f,
+ 0.831469612f, -0.555570233f,
+ 0.838224706f, -0.545324988f,
+ 0.844853565f, -0.534997620f,
+ 0.851355193f, -0.524589683f,
+ 0.857728610f, -0.514102744f,
+ 0.863972856f, -0.503538384f,
+ 0.870086991f, -0.492898192f,
+ 0.876070094f, -0.482183772f,
+ 0.881921264f, -0.471396737f,
+ 0.887639620f, -0.460538711f,
+ 0.893224301f, -0.449611330f,
+ 0.898674466f, -0.438616239f,
+ 0.903989293f, -0.427555093f,
+ 0.909167983f, -0.416429560f,
+ 0.914209756f, -0.405241314f,
+ 0.919113852f, -0.393992040f,
+ 0.923879533f, -0.382683432f,
+ 0.928506080f, -0.371317194f,
+ 0.932992799f, -0.359895037f,
+ 0.937339012f, -0.348418680f,
+ 0.941544065f, -0.336889853f,
+ 0.945607325f, -0.325310292f,
+ 0.949528181f, -0.313681740f,
+ 0.953306040f, -0.302005949f,
+ 0.956940336f, -0.290284677f,
+ 0.960430519f, -0.278519689f,
+ 0.963776066f, -0.266712757f,
+ 0.966976471f, -0.254865660f,
+ 0.970031253f, -0.242980180f,
+ 0.972939952f, -0.231058108f,
+ 0.975702130f, -0.219101240f,
+ 0.978317371f, -0.207111376f,
+ 0.980785280f, -0.195090322f,
+ 0.983105487f, -0.183039888f,
+ 0.985277642f, -0.170961889f,
+ 0.987301418f, -0.158858143f,
+ 0.989176510f, -0.146730474f,
+ 0.990902635f, -0.134580709f,
+ 0.992479535f, -0.122410675f,
+ 0.993906970f, -0.110222207f,
+ 0.995184727f, -0.098017140f,
+ 0.996312612f, -0.085797312f,
+ 0.997290457f, -0.073564564f,
+ 0.998118113f, -0.061320736f,
+ 0.998795456f, -0.049067674f,
+ 0.999322385f, -0.036807223f,
+ 0.999698819f, -0.024541229f,
+ 0.999924702f, -0.012271538f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_1024[2048] = {
+ 1.000000000f, 0.000000000f,
+ 0.999981175f, 0.006135885f,
+ 0.999924702f, 0.012271538f,
+ 0.999830582f, 0.018406730f,
+ 0.999698819f, 0.024541229f,
+ 0.999529418f, 0.030674803f,
+ 0.999322385f, 0.036807223f,
+ 0.999077728f, 0.042938257f,
+ 0.998795456f, 0.049067674f,
+ 0.998475581f, 0.055195244f,
+ 0.998118113f, 0.061320736f,
+ 0.997723067f, 0.067443920f,
+ 0.997290457f, 0.073564564f,
+ 0.996820299f, 0.079682438f,
+ 0.996312612f, 0.085797312f,
+ 0.995767414f, 0.091908956f,
+ 0.995184727f, 0.098017140f,
+ 0.994564571f, 0.104121634f,
+ 0.993906970f, 0.110222207f,
+ 0.993211949f, 0.116318631f,
+ 0.992479535f, 0.122410675f,
+ 0.991709754f, 0.128498111f,
+ 0.990902635f, 0.134580709f,
+ 0.990058210f, 0.140658239f,
+ 0.989176510f, 0.146730474f,
+ 0.988257568f, 0.152797185f,
+ 0.987301418f, 0.158858143f,
+ 0.986308097f, 0.164913120f,
+ 0.985277642f, 0.170961889f,
+ 0.984210092f, 0.177004220f,
+ 0.983105487f, 0.183039888f,
+ 0.981963869f, 0.189068664f,
+ 0.980785280f, 0.195090322f,
+ 0.979569766f, 0.201104635f,
+ 0.978317371f, 0.207111376f,
+ 0.977028143f, 0.213110320f,
+ 0.975702130f, 0.219101240f,
+ 0.974339383f, 0.225083911f,
+ 0.972939952f, 0.231058108f,
+ 0.971503891f, 0.237023606f,
+ 0.970031253f, 0.242980180f,
+ 0.968522094f, 0.248927606f,
+ 0.966976471f, 0.254865660f,
+ 0.965394442f, 0.260794118f,
+ 0.963776066f, 0.266712757f,
+ 0.962121404f, 0.272621355f,
+ 0.960430519f, 0.278519689f,
+ 0.958703475f, 0.284407537f,
+ 0.956940336f, 0.290284677f,
+ 0.955141168f, 0.296150888f,
+ 0.953306040f, 0.302005949f,
+ 0.951435021f, 0.307849640f,
+ 0.949528181f, 0.313681740f,
+ 0.947585591f, 0.319502031f,
+ 0.945607325f, 0.325310292f,
+ 0.943593458f, 0.331106306f,
+ 0.941544065f, 0.336889853f,
+ 0.939459224f, 0.342660717f,
+ 0.937339012f, 0.348418680f,
+ 0.935183510f, 0.354163525f,
+ 0.932992799f, 0.359895037f,
+ 0.930766961f, 0.365612998f,
+ 0.928506080f, 0.371317194f,
+ 0.926210242f, 0.377007410f,
+ 0.923879533f, 0.382683432f,
+ 0.921514039f, 0.388345047f,
+ 0.919113852f, 0.393992040f,
+ 0.916679060f, 0.399624200f,
+ 0.914209756f, 0.405241314f,
+ 0.911706032f, 0.410843171f,
+ 0.909167983f, 0.416429560f,
+ 0.906595705f, 0.422000271f,
+ 0.903989293f, 0.427555093f,
+ 0.901348847f, 0.433093819f,
+ 0.898674466f, 0.438616239f,
+ 0.895966250f, 0.444122145f,
+ 0.893224301f, 0.449611330f,
+ 0.890448723f, 0.455083587f,
+ 0.887639620f, 0.460538711f,
+ 0.884797098f, 0.465976496f,
+ 0.881921264f, 0.471396737f,
+ 0.879012226f, 0.476799230f,
+ 0.876070094f, 0.482183772f,
+ 0.873094978f, 0.487550160f,
+ 0.870086991f, 0.492898192f,
+ 0.867046246f, 0.498227667f,
+ 0.863972856f, 0.503538384f,
+ 0.860866939f, 0.508830143f,
+ 0.857728610f, 0.514102744f,
+ 0.854557988f, 0.519355990f,
+ 0.851355193f, 0.524589683f,
+ 0.848120345f, 0.529803625f,
+ 0.844853565f, 0.534997620f,
+ 0.841554977f, 0.540171473f,
+ 0.838224706f, 0.545324988f,
+ 0.834862875f, 0.550457973f,
+ 0.831469612f, 0.555570233f,
+ 0.828045045f, 0.560661576f,
+ 0.824589303f, 0.565731811f,
+ 0.821102515f, 0.570780746f,
+ 0.817584813f, 0.575808191f,
+ 0.814036330f, 0.580813958f,
+ 0.810457198f, 0.585797857f,
+ 0.806847554f, 0.590759702f,
+ 0.803207531f, 0.595699304f,
+ 0.799537269f, 0.600616479f,
+ 0.795836905f, 0.605511041f,
+ 0.792106577f, 0.610382806f,
+ 0.788346428f, 0.615231591f,
+ 0.784556597f, 0.620057212f,
+ 0.780737229f, 0.624859488f,
+ 0.776888466f, 0.629638239f,
+ 0.773010453f, 0.634393284f,
+ 0.769103338f, 0.639124445f,
+ 0.765167266f, 0.643831543f,
+ 0.761202385f, 0.648514401f,
+ 0.757208847f, 0.653172843f,
+ 0.753186799f, 0.657806693f,
+ 0.749136395f, 0.662415778f,
+ 0.745057785f, 0.666999922f,
+ 0.740951125f, 0.671558955f,
+ 0.736816569f, 0.676092704f,
+ 0.732654272f, 0.680600998f,
+ 0.728464390f, 0.685083668f,
+ 0.724247083f, 0.689540545f,
+ 0.720002508f, 0.693971461f,
+ 0.715730825f, 0.698376249f,
+ 0.711432196f, 0.702754744f,
+ 0.707106781f, 0.707106781f,
+ 0.702754744f, 0.711432196f,
+ 0.698376249f, 0.715730825f,
+ 0.693971461f, 0.720002508f,
+ 0.689540545f, 0.724247083f,
+ 0.685083668f, 0.728464390f,
+ 0.680600998f, 0.732654272f,
+ 0.676092704f, 0.736816569f,
+ 0.671558955f, 0.740951125f,
+ 0.666999922f, 0.745057785f,
+ 0.662415778f, 0.749136395f,
+ 0.657806693f, 0.753186799f,
+ 0.653172843f, 0.757208847f,
+ 0.648514401f, 0.761202385f,
+ 0.643831543f, 0.765167266f,
+ 0.639124445f, 0.769103338f,
+ 0.634393284f, 0.773010453f,
+ 0.629638239f, 0.776888466f,
+ 0.624859488f, 0.780737229f,
+ 0.620057212f, 0.784556597f,
+ 0.615231591f, 0.788346428f,
+ 0.610382806f, 0.792106577f,
+ 0.605511041f, 0.795836905f,
+ 0.600616479f, 0.799537269f,
+ 0.595699304f, 0.803207531f,
+ 0.590759702f, 0.806847554f,
+ 0.585797857f, 0.810457198f,
+ 0.580813958f, 0.814036330f,
+ 0.575808191f, 0.817584813f,
+ 0.570780746f, 0.821102515f,
+ 0.565731811f, 0.824589303f,
+ 0.560661576f, 0.828045045f,
+ 0.555570233f, 0.831469612f,
+ 0.550457973f, 0.834862875f,
+ 0.545324988f, 0.838224706f,
+ 0.540171473f, 0.841554977f,
+ 0.534997620f, 0.844853565f,
+ 0.529803625f, 0.848120345f,
+ 0.524589683f, 0.851355193f,
+ 0.519355990f, 0.854557988f,
+ 0.514102744f, 0.857728610f,
+ 0.508830143f, 0.860866939f,
+ 0.503538384f, 0.863972856f,
+ 0.498227667f, 0.867046246f,
+ 0.492898192f, 0.870086991f,
+ 0.487550160f, 0.873094978f,
+ 0.482183772f, 0.876070094f,
+ 0.476799230f, 0.879012226f,
+ 0.471396737f, 0.881921264f,
+ 0.465976496f, 0.884797098f,
+ 0.460538711f, 0.887639620f,
+ 0.455083587f, 0.890448723f,
+ 0.449611330f, 0.893224301f,
+ 0.444122145f, 0.895966250f,
+ 0.438616239f, 0.898674466f,
+ 0.433093819f, 0.901348847f,
+ 0.427555093f, 0.903989293f,
+ 0.422000271f, 0.906595705f,
+ 0.416429560f, 0.909167983f,
+ 0.410843171f, 0.911706032f,
+ 0.405241314f, 0.914209756f,
+ 0.399624200f, 0.916679060f,
+ 0.393992040f, 0.919113852f,
+ 0.388345047f, 0.921514039f,
+ 0.382683432f, 0.923879533f,
+ 0.377007410f, 0.926210242f,
+ 0.371317194f, 0.928506080f,
+ 0.365612998f, 0.930766961f,
+ 0.359895037f, 0.932992799f,
+ 0.354163525f, 0.935183510f,
+ 0.348418680f, 0.937339012f,
+ 0.342660717f, 0.939459224f,
+ 0.336889853f, 0.941544065f,
+ 0.331106306f, 0.943593458f,
+ 0.325310292f, 0.945607325f,
+ 0.319502031f, 0.947585591f,
+ 0.313681740f, 0.949528181f,
+ 0.307849640f, 0.951435021f,
+ 0.302005949f, 0.953306040f,
+ 0.296150888f, 0.955141168f,
+ 0.290284677f, 0.956940336f,
+ 0.284407537f, 0.958703475f,
+ 0.278519689f, 0.960430519f,
+ 0.272621355f, 0.962121404f,
+ 0.266712757f, 0.963776066f,
+ 0.260794118f, 0.965394442f,
+ 0.254865660f, 0.966976471f,
+ 0.248927606f, 0.968522094f,
+ 0.242980180f, 0.970031253f,
+ 0.237023606f, 0.971503891f,
+ 0.231058108f, 0.972939952f,
+ 0.225083911f, 0.974339383f,
+ 0.219101240f, 0.975702130f,
+ 0.213110320f, 0.977028143f,
+ 0.207111376f, 0.978317371f,
+ 0.201104635f, 0.979569766f,
+ 0.195090322f, 0.980785280f,
+ 0.189068664f, 0.981963869f,
+ 0.183039888f, 0.983105487f,
+ 0.177004220f, 0.984210092f,
+ 0.170961889f, 0.985277642f,
+ 0.164913120f, 0.986308097f,
+ 0.158858143f, 0.987301418f,
+ 0.152797185f, 0.988257568f,
+ 0.146730474f, 0.989176510f,
+ 0.140658239f, 0.990058210f,
+ 0.134580709f, 0.990902635f,
+ 0.128498111f, 0.991709754f,
+ 0.122410675f, 0.992479535f,
+ 0.116318631f, 0.993211949f,
+ 0.110222207f, 0.993906970f,
+ 0.104121634f, 0.994564571f,
+ 0.098017140f, 0.995184727f,
+ 0.091908956f, 0.995767414f,
+ 0.085797312f, 0.996312612f,
+ 0.079682438f, 0.996820299f,
+ 0.073564564f, 0.997290457f,
+ 0.067443920f, 0.997723067f,
+ 0.061320736f, 0.998118113f,
+ 0.055195244f, 0.998475581f,
+ 0.049067674f, 0.998795456f,
+ 0.042938257f, 0.999077728f,
+ 0.036807223f, 0.999322385f,
+ 0.030674803f, 0.999529418f,
+ 0.024541229f, 0.999698819f,
+ 0.018406730f, 0.999830582f,
+ 0.012271538f, 0.999924702f,
+ 0.006135885f, 0.999981175f,
+ 0.000000000f, 1.000000000f,
+ -0.006135885f, 0.999981175f,
+ -0.012271538f, 0.999924702f,
+ -0.018406730f, 0.999830582f,
+ -0.024541229f, 0.999698819f,
+ -0.030674803f, 0.999529418f,
+ -0.036807223f, 0.999322385f,
+ -0.042938257f, 0.999077728f,
+ -0.049067674f, 0.998795456f,
+ -0.055195244f, 0.998475581f,
+ -0.061320736f, 0.998118113f,
+ -0.067443920f, 0.997723067f,
+ -0.073564564f, 0.997290457f,
+ -0.079682438f, 0.996820299f,
+ -0.085797312f, 0.996312612f,
+ -0.091908956f, 0.995767414f,
+ -0.098017140f, 0.995184727f,
+ -0.104121634f, 0.994564571f,
+ -0.110222207f, 0.993906970f,
+ -0.116318631f, 0.993211949f,
+ -0.122410675f, 0.992479535f,
+ -0.128498111f, 0.991709754f,
+ -0.134580709f, 0.990902635f,
+ -0.140658239f, 0.990058210f,
+ -0.146730474f, 0.989176510f,
+ -0.152797185f, 0.988257568f,
+ -0.158858143f, 0.987301418f,
+ -0.164913120f, 0.986308097f,
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+ -0.471396737f, -0.881921264f,
+ -0.465976496f, -0.884797098f,
+ -0.460538711f, -0.887639620f,
+ -0.455083587f, -0.890448723f,
+ -0.449611330f, -0.893224301f,
+ -0.444122145f, -0.895966250f,
+ -0.438616239f, -0.898674466f,
+ -0.433093819f, -0.901348847f,
+ -0.427555093f, -0.903989293f,
+ -0.422000271f, -0.906595705f,
+ -0.416429560f, -0.909167983f,
+ -0.410843171f, -0.911706032f,
+ -0.405241314f, -0.914209756f,
+ -0.399624200f, -0.916679060f,
+ -0.393992040f, -0.919113852f,
+ -0.388345047f, -0.921514039f,
+ -0.382683432f, -0.923879533f,
+ -0.377007410f, -0.926210242f,
+ -0.371317194f, -0.928506080f,
+ -0.365612998f, -0.930766961f,
+ -0.359895037f, -0.932992799f,
+ -0.354163525f, -0.935183510f,
+ -0.348418680f, -0.937339012f,
+ -0.342660717f, -0.939459224f,
+ -0.336889853f, -0.941544065f,
+ -0.331106306f, -0.943593458f,
+ -0.325310292f, -0.945607325f,
+ -0.319502031f, -0.947585591f,
+ -0.313681740f, -0.949528181f,
+ -0.307849640f, -0.951435021f,
+ -0.302005949f, -0.953306040f,
+ -0.296150888f, -0.955141168f,
+ -0.290284677f, -0.956940336f,
+ -0.284407537f, -0.958703475f,
+ -0.278519689f, -0.960430519f,
+ -0.272621355f, -0.962121404f,
+ -0.266712757f, -0.963776066f,
+ -0.260794118f, -0.965394442f,
+ -0.254865660f, -0.966976471f,
+ -0.248927606f, -0.968522094f,
+ -0.242980180f, -0.970031253f,
+ -0.237023606f, -0.971503891f,
+ -0.231058108f, -0.972939952f,
+ -0.225083911f, -0.974339383f,
+ -0.219101240f, -0.975702130f,
+ -0.213110320f, -0.977028143f,
+ -0.207111376f, -0.978317371f,
+ -0.201104635f, -0.979569766f,
+ -0.195090322f, -0.980785280f,
+ -0.189068664f, -0.981963869f,
+ -0.183039888f, -0.983105487f,
+ -0.177004220f, -0.984210092f,
+ -0.170961889f, -0.985277642f,
+ -0.164913120f, -0.986308097f,
+ -0.158858143f, -0.987301418f,
+ -0.152797185f, -0.988257568f,
+ -0.146730474f, -0.989176510f,
+ -0.140658239f, -0.990058210f,
+ -0.134580709f, -0.990902635f,
+ -0.128498111f, -0.991709754f,
+ -0.122410675f, -0.992479535f,
+ -0.116318631f, -0.993211949f,
+ -0.110222207f, -0.993906970f,
+ -0.104121634f, -0.994564571f,
+ -0.098017140f, -0.995184727f,
+ -0.091908956f, -0.995767414f,
+ -0.085797312f, -0.996312612f,
+ -0.079682438f, -0.996820299f,
+ -0.073564564f, -0.997290457f,
+ -0.067443920f, -0.997723067f,
+ -0.061320736f, -0.998118113f,
+ -0.055195244f, -0.998475581f,
+ -0.049067674f, -0.998795456f,
+ -0.042938257f, -0.999077728f,
+ -0.036807223f, -0.999322385f,
+ -0.030674803f, -0.999529418f,
+ -0.024541229f, -0.999698819f,
+ -0.018406730f, -0.999830582f,
+ -0.012271538f, -0.999924702f,
+ -0.006135885f, -0.999981175f,
+ -0.000000000f, -1.000000000f,
+ 0.006135885f, -0.999981175f,
+ 0.012271538f, -0.999924702f,
+ 0.018406730f, -0.999830582f,
+ 0.024541229f, -0.999698819f,
+ 0.030674803f, -0.999529418f,
+ 0.036807223f, -0.999322385f,
+ 0.042938257f, -0.999077728f,
+ 0.049067674f, -0.998795456f,
+ 0.055195244f, -0.998475581f,
+ 0.061320736f, -0.998118113f,
+ 0.067443920f, -0.997723067f,
+ 0.073564564f, -0.997290457f,
+ 0.079682438f, -0.996820299f,
+ 0.085797312f, -0.996312612f,
+ 0.091908956f, -0.995767414f,
+ 0.098017140f, -0.995184727f,
+ 0.104121634f, -0.994564571f,
+ 0.110222207f, -0.993906970f,
+ 0.116318631f, -0.993211949f,
+ 0.122410675f, -0.992479535f,
+ 0.128498111f, -0.991709754f,
+ 0.134580709f, -0.990902635f,
+ 0.140658239f, -0.990058210f,
+ 0.146730474f, -0.989176510f,
+ 0.152797185f, -0.988257568f,
+ 0.158858143f, -0.987301418f,
+ 0.164913120f, -0.986308097f,
+ 0.170961889f, -0.985277642f,
+ 0.177004220f, -0.984210092f,
+ 0.183039888f, -0.983105487f,
+ 0.189068664f, -0.981963869f,
+ 0.195090322f, -0.980785280f,
+ 0.201104635f, -0.979569766f,
+ 0.207111376f, -0.978317371f,
+ 0.213110320f, -0.977028143f,
+ 0.219101240f, -0.975702130f,
+ 0.225083911f, -0.974339383f,
+ 0.231058108f, -0.972939952f,
+ 0.237023606f, -0.971503891f,
+ 0.242980180f, -0.970031253f,
+ 0.248927606f, -0.968522094f,
+ 0.254865660f, -0.966976471f,
+ 0.260794118f, -0.965394442f,
+ 0.266712757f, -0.963776066f,
+ 0.272621355f, -0.962121404f,
+ 0.278519689f, -0.960430519f,
+ 0.284407537f, -0.958703475f,
+ 0.290284677f, -0.956940336f,
+ 0.296150888f, -0.955141168f,
+ 0.302005949f, -0.953306040f,
+ 0.307849640f, -0.951435021f,
+ 0.313681740f, -0.949528181f,
+ 0.319502031f, -0.947585591f,
+ 0.325310292f, -0.945607325f,
+ 0.331106306f, -0.943593458f,
+ 0.336889853f, -0.941544065f,
+ 0.342660717f, -0.939459224f,
+ 0.348418680f, -0.937339012f,
+ 0.354163525f, -0.935183510f,
+ 0.359895037f, -0.932992799f,
+ 0.365612998f, -0.930766961f,
+ 0.371317194f, -0.928506080f,
+ 0.377007410f, -0.926210242f,
+ 0.382683432f, -0.923879533f,
+ 0.388345047f, -0.921514039f,
+ 0.393992040f, -0.919113852f,
+ 0.399624200f, -0.916679060f,
+ 0.405241314f, -0.914209756f,
+ 0.410843171f, -0.911706032f,
+ 0.416429560f, -0.909167983f,
+ 0.422000271f, -0.906595705f,
+ 0.427555093f, -0.903989293f,
+ 0.433093819f, -0.901348847f,
+ 0.438616239f, -0.898674466f,
+ 0.444122145f, -0.895966250f,
+ 0.449611330f, -0.893224301f,
+ 0.455083587f, -0.890448723f,
+ 0.460538711f, -0.887639620f,
+ 0.465976496f, -0.884797098f,
+ 0.471396737f, -0.881921264f,
+ 0.476799230f, -0.879012226f,
+ 0.482183772f, -0.876070094f,
+ 0.487550160f, -0.873094978f,
+ 0.492898192f, -0.870086991f,
+ 0.498227667f, -0.867046246f,
+ 0.503538384f, -0.863972856f,
+ 0.508830143f, -0.860866939f,
+ 0.514102744f, -0.857728610f,
+ 0.519355990f, -0.854557988f,
+ 0.524589683f, -0.851355193f,
+ 0.529803625f, -0.848120345f,
+ 0.534997620f, -0.844853565f,
+ 0.540171473f, -0.841554977f,
+ 0.545324988f, -0.838224706f,
+ 0.550457973f, -0.834862875f,
+ 0.555570233f, -0.831469612f,
+ 0.560661576f, -0.828045045f,
+ 0.565731811f, -0.824589303f,
+ 0.570780746f, -0.821102515f,
+ 0.575808191f, -0.817584813f,
+ 0.580813958f, -0.814036330f,
+ 0.585797857f, -0.810457198f,
+ 0.590759702f, -0.806847554f,
+ 0.595699304f, -0.803207531f,
+ 0.600616479f, -0.799537269f,
+ 0.605511041f, -0.795836905f,
+ 0.610382806f, -0.792106577f,
+ 0.615231591f, -0.788346428f,
+ 0.620057212f, -0.784556597f,
+ 0.624859488f, -0.780737229f,
+ 0.629638239f, -0.776888466f,
+ 0.634393284f, -0.773010453f,
+ 0.639124445f, -0.769103338f,
+ 0.643831543f, -0.765167266f,
+ 0.648514401f, -0.761202385f,
+ 0.653172843f, -0.757208847f,
+ 0.657806693f, -0.753186799f,
+ 0.662415778f, -0.749136395f,
+ 0.666999922f, -0.745057785f,
+ 0.671558955f, -0.740951125f,
+ 0.676092704f, -0.736816569f,
+ 0.680600998f, -0.732654272f,
+ 0.685083668f, -0.728464390f,
+ 0.689540545f, -0.724247083f,
+ 0.693971461f, -0.720002508f,
+ 0.698376249f, -0.715730825f,
+ 0.702754744f, -0.711432196f,
+ 0.707106781f, -0.707106781f,
+ 0.711432196f, -0.702754744f,
+ 0.715730825f, -0.698376249f,
+ 0.720002508f, -0.693971461f,
+ 0.724247083f, -0.689540545f,
+ 0.728464390f, -0.685083668f,
+ 0.732654272f, -0.680600998f,
+ 0.736816569f, -0.676092704f,
+ 0.740951125f, -0.671558955f,
+ 0.745057785f, -0.666999922f,
+ 0.749136395f, -0.662415778f,
+ 0.753186799f, -0.657806693f,
+ 0.757208847f, -0.653172843f,
+ 0.761202385f, -0.648514401f,
+ 0.765167266f, -0.643831543f,
+ 0.769103338f, -0.639124445f,
+ 0.773010453f, -0.634393284f,
+ 0.776888466f, -0.629638239f,
+ 0.780737229f, -0.624859488f,
+ 0.784556597f, -0.620057212f,
+ 0.788346428f, -0.615231591f,
+ 0.792106577f, -0.610382806f,
+ 0.795836905f, -0.605511041f,
+ 0.799537269f, -0.600616479f,
+ 0.803207531f, -0.595699304f,
+ 0.806847554f, -0.590759702f,
+ 0.810457198f, -0.585797857f,
+ 0.814036330f, -0.580813958f,
+ 0.817584813f, -0.575808191f,
+ 0.821102515f, -0.570780746f,
+ 0.824589303f, -0.565731811f,
+ 0.828045045f, -0.560661576f,
+ 0.831469612f, -0.555570233f,
+ 0.834862875f, -0.550457973f,
+ 0.838224706f, -0.545324988f,
+ 0.841554977f, -0.540171473f,
+ 0.844853565f, -0.534997620f,
+ 0.848120345f, -0.529803625f,
+ 0.851355193f, -0.524589683f,
+ 0.854557988f, -0.519355990f,
+ 0.857728610f, -0.514102744f,
+ 0.860866939f, -0.508830143f,
+ 0.863972856f, -0.503538384f,
+ 0.867046246f, -0.498227667f,
+ 0.870086991f, -0.492898192f,
+ 0.873094978f, -0.487550160f,
+ 0.876070094f, -0.482183772f,
+ 0.879012226f, -0.476799230f,
+ 0.881921264f, -0.471396737f,
+ 0.884797098f, -0.465976496f,
+ 0.887639620f, -0.460538711f,
+ 0.890448723f, -0.455083587f,
+ 0.893224301f, -0.449611330f,
+ 0.895966250f, -0.444122145f,
+ 0.898674466f, -0.438616239f,
+ 0.901348847f, -0.433093819f,
+ 0.903989293f, -0.427555093f,
+ 0.906595705f, -0.422000271f,
+ 0.909167983f, -0.416429560f,
+ 0.911706032f, -0.410843171f,
+ 0.914209756f, -0.405241314f,
+ 0.916679060f, -0.399624200f,
+ 0.919113852f, -0.393992040f,
+ 0.921514039f, -0.388345047f,
+ 0.923879533f, -0.382683432f,
+ 0.926210242f, -0.377007410f,
+ 0.928506080f, -0.371317194f,
+ 0.930766961f, -0.365612998f,
+ 0.932992799f, -0.359895037f,
+ 0.935183510f, -0.354163525f,
+ 0.937339012f, -0.348418680f,
+ 0.939459224f, -0.342660717f,
+ 0.941544065f, -0.336889853f,
+ 0.943593458f, -0.331106306f,
+ 0.945607325f, -0.325310292f,
+ 0.947585591f, -0.319502031f,
+ 0.949528181f, -0.313681740f,
+ 0.951435021f, -0.307849640f,
+ 0.953306040f, -0.302005949f,
+ 0.955141168f, -0.296150888f,
+ 0.956940336f, -0.290284677f,
+ 0.958703475f, -0.284407537f,
+ 0.960430519f, -0.278519689f,
+ 0.962121404f, -0.272621355f,
+ 0.963776066f, -0.266712757f,
+ 0.965394442f, -0.260794118f,
+ 0.966976471f, -0.254865660f,
+ 0.968522094f, -0.248927606f,
+ 0.970031253f, -0.242980180f,
+ 0.971503891f, -0.237023606f,
+ 0.972939952f, -0.231058108f,
+ 0.974339383f, -0.225083911f,
+ 0.975702130f, -0.219101240f,
+ 0.977028143f, -0.213110320f,
+ 0.978317371f, -0.207111376f,
+ 0.979569766f, -0.201104635f,
+ 0.980785280f, -0.195090322f,
+ 0.981963869f, -0.189068664f,
+ 0.983105487f, -0.183039888f,
+ 0.984210092f, -0.177004220f,
+ 0.985277642f, -0.170961889f,
+ 0.986308097f, -0.164913120f,
+ 0.987301418f, -0.158858143f,
+ 0.988257568f, -0.152797185f,
+ 0.989176510f, -0.146730474f,
+ 0.990058210f, -0.140658239f,
+ 0.990902635f, -0.134580709f,
+ 0.991709754f, -0.128498111f,
+ 0.992479535f, -0.122410675f,
+ 0.993211949f, -0.116318631f,
+ 0.993906970f, -0.110222207f,
+ 0.994564571f, -0.104121634f,
+ 0.995184727f, -0.098017140f,
+ 0.995767414f, -0.091908956f,
+ 0.996312612f, -0.085797312f,
+ 0.996820299f, -0.079682438f,
+ 0.997290457f, -0.073564564f,
+ 0.997723067f, -0.067443920f,
+ 0.998118113f, -0.061320736f,
+ 0.998475581f, -0.055195244f,
+ 0.998795456f, -0.049067674f,
+ 0.999077728f, -0.042938257f,
+ 0.999322385f, -0.036807223f,
+ 0.999529418f, -0.030674803f,
+ 0.999698819f, -0.024541229f,
+ 0.999830582f, -0.018406730f,
+ 0.999924702f, -0.012271538f,
+ 0.999981175f, -0.006135885f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_2048[4096] = {
+ 1.000000000f, 0.000000000f,
+ 0.999995294f, 0.003067957f,
+ 0.999981175f, 0.006135885f,
+ 0.999957645f, 0.009203755f,
+ 0.999924702f, 0.012271538f,
+ 0.999882347f, 0.015339206f,
+ 0.999830582f, 0.018406730f,
+ 0.999769405f, 0.021474080f,
+ 0.999698819f, 0.024541229f,
+ 0.999618822f, 0.027608146f,
+ 0.999529418f, 0.030674803f,
+ 0.999430605f, 0.033741172f,
+ 0.999322385f, 0.036807223f,
+ 0.999204759f, 0.039872928f,
+ 0.999077728f, 0.042938257f,
+ 0.998941293f, 0.046003182f,
+ 0.998795456f, 0.049067674f,
+ 0.998640218f, 0.052131705f,
+ 0.998475581f, 0.055195244f,
+ 0.998301545f, 0.058258265f,
+ 0.998118113f, 0.061320736f,
+ 0.997925286f, 0.064382631f,
+ 0.997723067f, 0.067443920f,
+ 0.997511456f, 0.070504573f,
+ 0.997290457f, 0.073564564f,
+ 0.997060070f, 0.076623861f,
+ 0.996820299f, 0.079682438f,
+ 0.996571146f, 0.082740265f,
+ 0.996312612f, 0.085797312f,
+ 0.996044701f, 0.088853553f,
+ 0.995767414f, 0.091908956f,
+ 0.995480755f, 0.094963495f,
+ 0.995184727f, 0.098017140f,
+ 0.994879331f, 0.101069863f,
+ 0.994564571f, 0.104121634f,
+ 0.994240449f, 0.107172425f,
+ 0.993906970f, 0.110222207f,
+ 0.993564136f, 0.113270952f,
+ 0.993211949f, 0.116318631f,
+ 0.992850414f, 0.119365215f,
+ 0.992479535f, 0.122410675f,
+ 0.992099313f, 0.125454983f,
+ 0.991709754f, 0.128498111f,
+ 0.991310860f, 0.131540029f,
+ 0.990902635f, 0.134580709f,
+ 0.990485084f, 0.137620122f,
+ 0.990058210f, 0.140658239f,
+ 0.989622017f, 0.143695033f,
+ 0.989176510f, 0.146730474f,
+ 0.988721692f, 0.149764535f,
+ 0.988257568f, 0.152797185f,
+ 0.987784142f, 0.155828398f,
+ 0.987301418f, 0.158858143f,
+ 0.986809402f, 0.161886394f,
+ 0.986308097f, 0.164913120f,
+ 0.985797509f, 0.167938295f,
+ 0.985277642f, 0.170961889f,
+ 0.984748502f, 0.173983873f,
+ 0.984210092f, 0.177004220f,
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+ 0.615231591f, -0.788346428f,
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+ 0.620057212f, -0.784556597f,
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+ 0.662415778f, -0.749136395f,
+ 0.664710978f, -0.747100606f,
+ 0.666999922f, -0.745057785f,
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+ 0.673829000f, -0.738887324f,
+ 0.676092704f, -0.736816569f,
+ 0.678350043f, -0.734738878f,
+ 0.680600998f, -0.732654272f,
+ 0.682845546f, -0.730562769f,
+ 0.685083668f, -0.728464390f,
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+ 0.720002508f, -0.693971461f,
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+ 0.740951125f, -0.671558955f,
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+ 0.751165132f, -0.660114342f,
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+ 0.759209189f, -0.650846685f,
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+ 0.776888466f, -0.629638239f,
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+ 0.782650596f, -0.622461279f,
+ 0.784556597f, -0.620057212f,
+ 0.786455214f, -0.617647308f,
+ 0.788346428f, -0.615231591f,
+ 0.790230221f, -0.612810082f,
+ 0.792106577f, -0.610382806f,
+ 0.793975478f, -0.607949785f,
+ 0.795836905f, -0.605511041f,
+ 0.797690841f, -0.603066599f,
+ 0.799537269f, -0.600616479f,
+ 0.801376172f, -0.598160707f,
+ 0.803207531f, -0.595699304f,
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+ 0.812250587f, -0.583308653f,
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+ 0.815814411f, -0.578313796f,
+ 0.817584813f, -0.575808191f,
+ 0.819347520f, -0.573297167f,
+ 0.821102515f, -0.570780746f,
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+ 0.831469612f, -0.555570233f,
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+ 0.962121404f, -0.272621355f,
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+ 0.963776066f, -0.266712757f,
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+ 0.967753837f, -0.251897818f,
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+ 0.970772141f, -0.240003022f,
+ 0.971503891f, -0.237023606f,
+ 0.972226497f, -0.234041959f,
+ 0.972939952f, -0.231058108f,
+ 0.973644250f, -0.228072083f,
+ 0.974339383f, -0.225083911f,
+ 0.975025345f, -0.222093621f,
+ 0.975702130f, -0.219101240f,
+ 0.976369731f, -0.216106797f,
+ 0.977028143f, -0.213110320f,
+ 0.977677358f, -0.210111837f,
+ 0.978317371f, -0.207111376f,
+ 0.978948175f, -0.204108966f,
+ 0.979569766f, -0.201104635f,
+ 0.980182136f, -0.198098411f,
+ 0.980785280f, -0.195090322f,
+ 0.981379193f, -0.192080397f,
+ 0.981963869f, -0.189068664f,
+ 0.982539302f, -0.186055152f,
+ 0.983105487f, -0.183039888f,
+ 0.983662419f, -0.180022901f,
+ 0.984210092f, -0.177004220f,
+ 0.984748502f, -0.173983873f,
+ 0.985277642f, -0.170961889f,
+ 0.985797509f, -0.167938295f,
+ 0.986308097f, -0.164913120f,
+ 0.986809402f, -0.161886394f,
+ 0.987301418f, -0.158858143f,
+ 0.987784142f, -0.155828398f,
+ 0.988257568f, -0.152797185f,
+ 0.988721692f, -0.149764535f,
+ 0.989176510f, -0.146730474f,
+ 0.989622017f, -0.143695033f,
+ 0.990058210f, -0.140658239f,
+ 0.990485084f, -0.137620122f,
+ 0.990902635f, -0.134580709f,
+ 0.991310860f, -0.131540029f,
+ 0.991709754f, -0.128498111f,
+ 0.992099313f, -0.125454983f,
+ 0.992479535f, -0.122410675f,
+ 0.992850414f, -0.119365215f,
+ 0.993211949f, -0.116318631f,
+ 0.993564136f, -0.113270952f,
+ 0.993906970f, -0.110222207f,
+ 0.994240449f, -0.107172425f,
+ 0.994564571f, -0.104121634f,
+ 0.994879331f, -0.101069863f,
+ 0.995184727f, -0.098017140f,
+ 0.995480755f, -0.094963495f,
+ 0.995767414f, -0.091908956f,
+ 0.996044701f, -0.088853553f,
+ 0.996312612f, -0.085797312f,
+ 0.996571146f, -0.082740265f,
+ 0.996820299f, -0.079682438f,
+ 0.997060070f, -0.076623861f,
+ 0.997290457f, -0.073564564f,
+ 0.997511456f, -0.070504573f,
+ 0.997723067f, -0.067443920f,
+ 0.997925286f, -0.064382631f,
+ 0.998118113f, -0.061320736f,
+ 0.998301545f, -0.058258265f,
+ 0.998475581f, -0.055195244f,
+ 0.998640218f, -0.052131705f,
+ 0.998795456f, -0.049067674f,
+ 0.998941293f, -0.046003182f,
+ 0.999077728f, -0.042938257f,
+ 0.999204759f, -0.039872928f,
+ 0.999322385f, -0.036807223f,
+ 0.999430605f, -0.033741172f,
+ 0.999529418f, -0.030674803f,
+ 0.999618822f, -0.027608146f,
+ 0.999698819f, -0.024541229f,
+ 0.999769405f, -0.021474080f,
+ 0.999830582f, -0.018406730f,
+ 0.999882347f, -0.015339206f,
+ 0.999924702f, -0.012271538f,
+ 0.999957645f, -0.009203755f,
+ 0.999981175f, -0.006135885f,
+ 0.999995294f, -0.003067957f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)
+/**
+ @par
+ Example code for Floating-point Twiddle factors Generation:
+ @par
+ for (i = 0; i< N/; i++)
+ {
+ twiddleCoef[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_4096[8192] = {
+ 1.000000000f, 0.000000000f,
+ 0.999998823f, 0.001533980f,
+ 0.999995294f, 0.003067957f,
+ 0.999989411f, 0.004601926f,
+ 0.999981175f, 0.006135885f,
+ 0.999970586f, 0.007669829f,
+ 0.999957645f, 0.009203755f,
+ 0.999942350f, 0.010737659f,
+ 0.999924702f, 0.012271538f,
+ 0.999904701f, 0.013805389f,
+ 0.999882347f, 0.015339206f,
+ 0.999857641f, 0.016872988f,
+ 0.999830582f, 0.018406730f,
+ 0.999801170f, 0.019940429f,
+ 0.999769405f, 0.021474080f,
+ 0.999735288f, 0.023007681f,
+ 0.999698819f, 0.024541229f,
+ 0.999659997f, 0.026074718f,
+ 0.999618822f, 0.027608146f,
+ 0.999575296f, 0.029141509f,
+ 0.999529418f, 0.030674803f,
+ 0.999481187f, 0.032208025f,
+ 0.999430605f, 0.033741172f,
+ 0.999377670f, 0.035274239f,
+ 0.999322385f, 0.036807223f,
+ 0.999264747f, 0.038340120f,
+ 0.999204759f, 0.039872928f,
+ 0.999142419f, 0.041405641f,
+ 0.999077728f, 0.042938257f,
+ 0.999010686f, 0.044470772f,
+ 0.998941293f, 0.046003182f,
+ 0.998869550f, 0.047535484f,
+ 0.998795456f, 0.049067674f,
+ 0.998719012f, 0.050599749f,
+ 0.998640218f, 0.052131705f,
+ 0.998559074f, 0.053663538f,
+ 0.998475581f, 0.055195244f,
+ 0.998389737f, 0.056726821f,
+ 0.998301545f, 0.058258265f,
+ 0.998211003f, 0.059789571f,
+ 0.998118113f, 0.061320736f,
+ 0.998022874f, 0.062851758f,
+ 0.997925286f, 0.064382631f,
+ 0.997825350f, 0.065913353f,
+ 0.997723067f, 0.067443920f,
+ 0.997618435f, 0.068974328f,
+ 0.997511456f, 0.070504573f,
+ 0.997402130f, 0.072034653f,
+ 0.997290457f, 0.073564564f,
+ 0.997176437f, 0.075094301f,
+ 0.997060070f, 0.076623861f,
+ 0.996941358f, 0.078153242f,
+ 0.996820299f, 0.079682438f,
+ 0.996696895f, 0.081211447f,
+ 0.996571146f, 0.082740265f,
+ 0.996443051f, 0.084268888f,
+ 0.996312612f, 0.085797312f,
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+ 0.997176437f, -0.075094301f,
+ 0.997290457f, -0.073564564f,
+ 0.997402130f, -0.072034653f,
+ 0.997511456f, -0.070504573f,
+ 0.997618435f, -0.068974328f,
+ 0.997723067f, -0.067443920f,
+ 0.997825350f, -0.065913353f,
+ 0.997925286f, -0.064382631f,
+ 0.998022874f, -0.062851758f,
+ 0.998118113f, -0.061320736f,
+ 0.998211003f, -0.059789571f,
+ 0.998301545f, -0.058258265f,
+ 0.998389737f, -0.056726821f,
+ 0.998475581f, -0.055195244f,
+ 0.998559074f, -0.053663538f,
+ 0.998640218f, -0.052131705f,
+ 0.998719012f, -0.050599749f,
+ 0.998795456f, -0.049067674f,
+ 0.998869550f, -0.047535484f,
+ 0.998941293f, -0.046003182f,
+ 0.999010686f, -0.044470772f,
+ 0.999077728f, -0.042938257f,
+ 0.999142419f, -0.041405641f,
+ 0.999204759f, -0.039872928f,
+ 0.999264747f, -0.038340120f,
+ 0.999322385f, -0.036807223f,
+ 0.999377670f, -0.035274239f,
+ 0.999430605f, -0.033741172f,
+ 0.999481187f, -0.032208025f,
+ 0.999529418f, -0.030674803f,
+ 0.999575296f, -0.029141509f,
+ 0.999618822f, -0.027608146f,
+ 0.999659997f, -0.026074718f,
+ 0.999698819f, -0.024541229f,
+ 0.999735288f, -0.023007681f,
+ 0.999769405f, -0.021474080f,
+ 0.999801170f, -0.019940429f,
+ 0.999830582f, -0.018406730f,
+ 0.999857641f, -0.016872988f,
+ 0.999882347f, -0.015339206f,
+ 0.999904701f, -0.013805389f,
+ 0.999924702f, -0.012271538f,
+ 0.999942350f, -0.010737659f,
+ 0.999957645f, -0.009203755f,
+ 0.999970586f, -0.007669829f,
+ 0.999981175f, -0.006135885f,
+ 0.999989411f, -0.004601926f,
+ 0.999995294f, -0.003067957f,
+ 0.999998823f, -0.001533980f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
+
+/**
+ @brief Q31 Twiddle factors Table
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for(i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_16_q31[24] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000,
+ (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C,
+ (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A,
+ (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2,
+ (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xCF043AB2, (q31_t)0x89BE50C3
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_32_q31[48] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000,
+ (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6,
+ (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C,
+ (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F,
+ (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A,
+ (q31_t)0x9592675B, (q31_t)0x471CECE6,
+ (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C,
+ (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2,
+ (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B,
+ (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xE70747C3, (q31_t)0x8275A0C0
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_64_q31[96] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7641AF3C,
+ (q31_t)0x30FBC54D, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x62F201AC,
+ (q31_t)0x5133CC94, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x471CECE6,
+ (q31_t)0x6A6D98A4, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x25280C5D,
+ (q31_t)0x7A7D055B, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x00000000,
+ (q31_t)0x7FFFFFFF, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xDAD7F3A2,
+ (q31_t)0x7A7D055B, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xB8E31319,
+ (q31_t)0x6A6D98A4, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0x9D0DFE53,
+ (q31_t)0x5133CC94, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x89BE50C3,
+ (q31_t)0x30FBC54D, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x809DC970,
+ (q31_t)0x0C8BD35E, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xF3742CA1, (q31_t)0x809DC970
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i < 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_128_q31[192] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FD8878D,
+ (q31_t)0x0647D97C, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7D8A5F3F,
+ (q31_t)0x18F8B83C, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x78848413,
+ (q31_t)0x2B1F34EB, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x70E2CBC6,
+ (q31_t)0x3C56BA70, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x66CF811F,
+ (q31_t)0x4C3FDFF3, (q31_t)0x62F201AC, (q31_t)0x5133CC94,
+ (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5A82799A,
+ (q31_t)0x5A82799A, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4C3FDFF3,
+ (q31_t)0x66CF811F, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+ (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3C56BA70,
+ (q31_t)0x70E2CBC6, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2B1F34EB,
+ (q31_t)0x78848413, (q31_t)0x25280C5D, (q31_t)0x7A7D055B,
+ (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x18F8B83C,
+ (q31_t)0x7D8A5F3F, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0647D97C,
+ (q31_t)0x7FD8878D, (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF3742CA1,
+ (q31_t)0x7F62368F, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE0E60684,
+ (q31_t)0x7C29FBEE, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xCF043AB2,
+ (q31_t)0x7641AF3C, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xBE31E19B,
+ (q31_t)0x6DCA0D14, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xAECC336B,
+ (q31_t)0x62F201AC, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA1288376,
+ (q31_t)0x55F5A4D2, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+ (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9592675B,
+ (q31_t)0x471CECE6, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8C4A142F,
+ (q31_t)0x36BA2013, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8582FAA4,
+ (q31_t)0x25280C5D, (q31_t)0x83D60411, (q31_t)0x1F19F97B,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x8162AA03,
+ (q31_t)0x12C8106E, (q31_t)0x809DC970, (q31_t)0x0C8BD35E,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80000000,
+ (q31_t)0x00000000, (q31_t)0x80277872, (q31_t)0xF9B82683,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8162AA03,
+ (q31_t)0xED37EF91, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x8582FAA4,
+ (q31_t)0xDAD7F3A2, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8C4A142F,
+ (q31_t)0xC945DFEC, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9592675B,
+ (q31_t)0xB8E31319, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA1288376,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAECC336B,
+ (q31_t)0x9D0DFE53, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBE31E19B,
+ (q31_t)0x9235F2EB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCF043AB2,
+ (q31_t)0x89BE50C3, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE0E60684,
+ (q31_t)0x83D60411, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF3742CA1,
+ (q31_t)0x809DC970, (q31_t)0xF9B82683, (q31_t)0x80277872
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+
+ */
+const q31_t twiddleCoef_256_q31[384] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FF62182,
+ (q31_t)0x03242ABF, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E1D93E9,
+ (q31_t)0x15E21444, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C29FBEE,
+ (q31_t)0x1F19F97B, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x798A23B1,
+ (q31_t)0x2826B928, (q31_t)0x78848413, (q31_t)0x2B1F34EB,
+ (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7641AF3C,
+ (q31_t)0x30FBC54D, (q31_t)0x7504D345, (q31_t)0x33DEF287,
+ (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x72552C84,
+ (q31_t)0x398CDD32, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+ (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6DCA0D14,
+ (q31_t)0x41CE1E64, (q31_t)0x6C242960, (q31_t)0x447ACD50,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x68A69E81,
+ (q31_t)0x49B41533, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3,
+ (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x62F201AC,
+ (q31_t)0x5133CC94, (q31_t)0x60EC3830, (q31_t)0x539B2AEF,
+ (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5CB420DF,
+ (q31_t)0x5842DD54, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+ (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x55F5A4D2,
+ (q31_t)0x5ED77C89, (q31_t)0x539B2AEF, (q31_t)0x60EC3830,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4EBFE8A4,
+ (q31_t)0x64E88926, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F,
+ (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x471CECE6,
+ (q31_t)0x6A6D98A4, (q31_t)0x447ACD50, (q31_t)0x6C242960,
+ (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3F1749B7,
+ (q31_t)0x6F5F02B1, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+ (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x36BA2013,
+ (q31_t)0x73B5EBD0, (q31_t)0x33DEF287, (q31_t)0x7504D345,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2E110A62,
+ (q31_t)0x776C4EDB, (q31_t)0x2B1F34EB, (q31_t)0x78848413,
+ (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x25280C5D,
+ (q31_t)0x7A7D055B, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D,
+ (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1C0B826A,
+ (q31_t)0x7CE3CEB1, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+ (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x12C8106E,
+ (q31_t)0x7E9D55FC, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x096A9049,
+ (q31_t)0x7FA736B4, (q31_t)0x0647D97C, (q31_t)0x7FD8878D,
+ (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x00000000,
+ (q31_t)0x7FFFFFFF, (q31_t)0xFCDBD541, (q31_t)0x7FF62182,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF6956FB6,
+ (q31_t)0x7FA736B4, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+ (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xED37EF91,
+ (q31_t)0x7E9D55FC, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE3F47D95,
+ (q31_t)0x7CE3CEB1, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE,
+ (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDAD7F3A2,
+ (q31_t)0x7A7D055B, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD1EEF59E,
+ (q31_t)0x776C4EDB, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xC945DFEC,
+ (q31_t)0x73B5EBD0, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC0E8B648,
+ (q31_t)0x6F5F02B1, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xB8E31319,
+ (q31_t)0x6A6D98A4, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB140175B,
+ (q31_t)0x64E88926, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+ (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAA0A5B2D,
+ (q31_t)0x5ED77C89, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA34BDF20,
+ (q31_t)0x5842DD54, (q31_t)0xA1288376, (q31_t)0x55F5A4D2,
+ (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9D0DFE53,
+ (q31_t)0x5133CC94, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4,
+ (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9759617E,
+ (q31_t)0x49B41533, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+ (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9235F2EB,
+ (q31_t)0x41CE1E64, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8DAAD37B,
+ (q31_t)0x398CDD32, (q31_t)0x8C4A142F, (q31_t)0x36BA2013,
+ (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x89BE50C3,
+ (q31_t)0x30FBC54D, (q31_t)0x8893B124, (q31_t)0x2E110A62,
+ (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8675DC4E,
+ (q31_t)0x2826B928, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+ (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x83D60411,
+ (q31_t)0x1F19F97B, (q31_t)0x831C314E, (q31_t)0x1C0B826A,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x81E26C16,
+ (q31_t)0x15E21444, (q31_t)0x8162AA03, (q31_t)0x12C8106E,
+ (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x809DC970,
+ (q31_t)0x0C8BD35E, (q31_t)0x8058C94C, (q31_t)0x096A9049,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8009DE7D,
+ (q31_t)0x03242ABF, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80277872,
+ (q31_t)0xF9B82683, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80F66E3C,
+ (q31_t)0xF054D8D4, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x84A2FC62,
+ (q31_t)0xDDDC5B3A, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x877B7BEC,
+ (q31_t)0xD4E0CB14, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC210D78, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x93DBD69F,
+ (q31_t)0xBB8532AF, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x99307EE0,
+ (q31_t)0xB3C0200C, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9F13C7D0,
+ (q31_t)0xAC64D510, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAC64D510,
+ (q31_t)0x9F13C7D0, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB3C0200C,
+ (q31_t)0x99307EE0, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBB8532AF,
+ (q31_t)0x93DBD69F, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCC210D78,
+ (q31_t)0x8AFB2CBA, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD4E0CB14,
+ (q31_t)0x877B7BEC, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84A2FC62, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF054D8D4,
+ (q31_t)0x80F66E3C, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF9B82683,
+ (q31_t)0x80277872, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+
+ */
+const q31_t twiddleCoef_512_q31[768] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFD885A,
+ (q31_t)0x01921D1F, (q31_t)0x7FF62182, (q31_t)0x03242ABF,
+ (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FD8878D,
+ (q31_t)0x0647D97C, (q31_t)0x7FC25596, (q31_t)0x07D95B9E,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F872BF3,
+ (q31_t)0x0AFB6805, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+ (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F0991C3,
+ (q31_t)0x0FAB272B, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E5FE493,
+ (q31_t)0x145576B1, (q31_t)0x7E1D93E9, (q31_t)0x15E21444,
+ (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7D8A5F3F,
+ (q31_t)0x18F8B83C, (q31_t)0x7D3980EC, (q31_t)0x1A82A025,
+ (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C894BDD,
+ (q31_t)0x1D934FE5, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B,
+ (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B5D039D,
+ (q31_t)0x2223A4C5, (q31_t)0x7AEF6323, (q31_t)0x23A6887E,
+ (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A05EEAD,
+ (q31_t)0x26A82185, (q31_t)0x798A23B1, (q31_t)0x2826B928,
+ (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78848413,
+ (q31_t)0x2B1F34EB, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA,
+ (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x76D94988,
+ (q31_t)0x2F875262, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+ (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7504D345,
+ (q31_t)0x33DEF287, (q31_t)0x745F9DD1, (q31_t)0x354D9056,
+ (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x7307C3D0,
+ (q31_t)0x382493B0, (q31_t)0x72552C84, (q31_t)0x398CDD32,
+ (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x70E2CBC6,
+ (q31_t)0x3C56BA70, (q31_t)0x70231099, (q31_t)0x3DB832A5,
+ (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6E96A99C,
+ (q31_t)0x4073F21D, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64,
+ (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C242960,
+ (q31_t)0x447ACD50, (q31_t)0x6B4AF278, (q31_t)0x45CD358F,
+ (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x698C246C,
+ (q31_t)0x4869E664, (q31_t)0x68A69E81, (q31_t)0x49B41533,
+ (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x66CF811F,
+ (q31_t)0x4C3FDFF3, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4,
+ (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x63EF328F,
+ (q31_t)0x4FFB654D, (q31_t)0x62F201AC, (q31_t)0x5133CC94,
+ (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x60EC3830,
+ (q31_t)0x539B2AEF, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A,
+ (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5DC79D7C,
+ (q31_t)0x571DEEF9, (q31_t)0x5CB420DF, (q31_t)0x5842DD54,
+ (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5A82799A,
+ (q31_t)0x5A82799A, (q31_t)0x59646497, (q31_t)0x5B9D1153,
+ (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x571DEEF9,
+ (q31_t)0x5DC79D7C, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89,
+ (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x539B2AEF,
+ (q31_t)0x60EC3830, (q31_t)0x5269126E, (q31_t)0x61F1003E,
+ (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4FFB654D,
+ (q31_t)0x63EF328F, (q31_t)0x4EBFE8A4, (q31_t)0x64E88926,
+ (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4C3FDFF3,
+ (q31_t)0x66CF811F, (q31_t)0x4AFB6C97, (q31_t)0x67BD0FBC,
+ (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x4869E664,
+ (q31_t)0x698C246C, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+ (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x447ACD50,
+ (q31_t)0x6C242960, (q31_t)0x4325C135, (q31_t)0x6CF934FB,
+ (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4073F21D,
+ (q31_t)0x6E96A99C, (q31_t)0x3F1749B7, (q31_t)0x6F5F02B1,
+ (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3C56BA70,
+ (q31_t)0x70E2CBC6, (q31_t)0x3AF2EEB7, (q31_t)0x719E2CD2,
+ (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x382493B0,
+ (q31_t)0x7307C3D0, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0,
+ (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x33DEF287,
+ (q31_t)0x7504D345, (q31_t)0x326E54C7, (q31_t)0x75A585CF,
+ (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2F875262,
+ (q31_t)0x76D94988, (q31_t)0x2E110A62, (q31_t)0x776C4EDB,
+ (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2B1F34EB,
+ (q31_t)0x78848413, (q31_t)0x29A3C484, (q31_t)0x7909A92C,
+ (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x26A82185,
+ (q31_t)0x7A05EEAD, (q31_t)0x25280C5D, (q31_t)0x7A7D055B,
+ (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x2223A4C5,
+ (q31_t)0x7B5D039D, (q31_t)0x209F701C, (q31_t)0x7BC5E28F,
+ (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1D934FE5,
+ (q31_t)0x7C894BDD, (q31_t)0x1C0B826A, (q31_t)0x7CE3CEB1,
+ (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x18F8B83C,
+ (q31_t)0x7D8A5F3F, (q31_t)0x176DD9DE, (q31_t)0x7DD6668E,
+ (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x145576B1,
+ (q31_t)0x7E5FE493, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC,
+ (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x0FAB272B,
+ (q31_t)0x7F0991C3, (q31_t)0x0E1BC2E3, (q31_t)0x7F3857F5,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0AFB6805,
+ (q31_t)0x7F872BF3, (q31_t)0x096A9049, (q31_t)0x7FA736B4,
+ (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0647D97C,
+ (q31_t)0x7FD8878D, (q31_t)0x04B6195D, (q31_t)0x7FE9CBC0,
+ (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x01921D1F,
+ (q31_t)0x7FFD885A, (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+ (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFCDBD541,
+ (q31_t)0x7FF62182, (q31_t)0xFB49E6A2, (q31_t)0x7FE9CBC0,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF826A461,
+ (q31_t)0x7FC25596, (q31_t)0xF6956FB6, (q31_t)0x7FA736B4,
+ (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF3742CA1,
+ (q31_t)0x7F62368F, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5,
+ (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEEC60F31,
+ (q31_t)0x7ED5E5C6, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+ (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEA1DEBBB,
+ (q31_t)0x7E1D93E9, (q31_t)0xE8922621, (q31_t)0x7DD6668E,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE57D5FDA,
+ (q31_t)0x7D3980EC, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1,
+ (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE0E60684,
+ (q31_t)0x7C29FBEE, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F,
+ (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDC597781,
+ (q31_t)0x7AEF6323, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+ (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD7D946D7,
+ (q31_t)0x798A23B1, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD3670445,
+ (q31_t)0x77FAB988, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB,
+ (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCF043AB2,
+ (q31_t)0x7641AF3C, (q31_t)0xCD91AB38, (q31_t)0x75A585CF,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCAB26FA9,
+ (q31_t)0x745F9DD1, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+ (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC67322CD,
+ (q31_t)0x72552C84, (q31_t)0xC50D1148, (q31_t)0x719E2CD2,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC247CD5A,
+ (q31_t)0x70231099, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1,
+ (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBE31E19B,
+ (q31_t)0x6DCA0D14, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBA32CA70,
+ (q31_t)0x6B4AF278, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB64BEACC,
+ (q31_t)0x68A69E81, (q31_t)0xB5049368, (q31_t)0x67BD0FBC,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB27E9D3B,
+ (q31_t)0x65DDFBD3, (q31_t)0xB140175B, (q31_t)0x64E88926,
+ (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAECC336B,
+ (q31_t)0x62F201AC, (q31_t)0xAD96ED91, (q31_t)0x61F1003E,
+ (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAB35F5B5,
+ (q31_t)0x5FE3B38D, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+ (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA7BD22AB,
+ (q31_t)0x5CB420DF, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA462EEAC,
+ (q31_t)0x59646497, (q31_t)0xA34BDF20, (q31_t)0x5842DD54,
+ (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1288376,
+ (q31_t)0x55F5A4D2, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A,
+ (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E0EFFC1,
+ (q31_t)0x5269126E, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+ (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B1776D9,
+ (q31_t)0x4EBFE8A4, (q31_t)0x9A22042C, (q31_t)0x4D8162C4,
+ (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9842F043,
+ (q31_t)0x4AFB6C97, (q31_t)0x9759617E, (q31_t)0x49B41533,
+ (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x9592675B,
+ (q31_t)0x471CECE6, (q31_t)0x94B50D87, (q31_t)0x45CD358F,
+ (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9306CB04,
+ (q31_t)0x4325C135, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64,
+ (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x90A0FD4E,
+ (q31_t)0x3F1749B7, (q31_t)0x8FDCEF66, (q31_t)0x3DB832A5,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8E61D32D,
+ (q31_t)0x3AF2EEB7, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32,
+ (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8C4A142F,
+ (q31_t)0x36BA2013, (q31_t)0x8BA0622F, (q31_t)0x354D9056,
+ (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8A5A7A30,
+ (q31_t)0x326E54C7, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+ (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x8893B124,
+ (q31_t)0x2E110A62, (q31_t)0x88054677, (q31_t)0x2C98FBBA,
+ (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x86F656D3,
+ (q31_t)0x29A3C484, (q31_t)0x8675DC4E, (q31_t)0x2826B928,
+ (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x8582FAA4,
+ (q31_t)0x25280C5D, (q31_t)0x85109CDC, (q31_t)0x23A6887E,
+ (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x843A1D70,
+ (q31_t)0x209F701C, (q31_t)0x83D60411, (q31_t)0x1F19F97B,
+ (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x831C314E,
+ (q31_t)0x1C0B826A, (q31_t)0x82C67F13, (q31_t)0x1A82A025,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x82299971,
+ (q31_t)0x176DD9DE, (q31_t)0x81E26C16, (q31_t)0x15E21444,
+ (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8162AA03,
+ (q31_t)0x12C8106E, (q31_t)0x812A1A39, (q31_t)0x1139F0CE,
+ (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80C7A80A,
+ (q31_t)0x0E1BC2E3, (q31_t)0x809DC970, (q31_t)0x0C8BD35E,
+ (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x8058C94C,
+ (q31_t)0x096A9049, (q31_t)0x803DAA69, (q31_t)0x07D95B9E,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80163440,
+ (q31_t)0x04B6195D, (q31_t)0x8009DE7D, (q31_t)0x03242ABF,
+ (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80000000,
+ (q31_t)0x00000000, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80163440,
+ (q31_t)0xFB49E6A2, (q31_t)0x80277872, (q31_t)0xF9B82683,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8058C94C,
+ (q31_t)0xF6956FB6, (q31_t)0x8078D40D, (q31_t)0xF50497FA,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80C7A80A,
+ (q31_t)0xF1E43D1C, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4,
+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8162AA03,
+ (q31_t)0xED37EF91, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82299971,
+ (q31_t)0xE8922621, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x831C314E,
+ (q31_t)0xE3F47D95, (q31_t)0x8376B422, (q31_t)0xE26CB01A,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x843A1D70,
+ (q31_t)0xDF608FE3, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8582FAA4,
+ (q31_t)0xDAD7F3A2, (q31_t)0x85FA1152, (q31_t)0xD957DE7A,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86F656D3,
+ (q31_t)0xD65C3B7B, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8893B124,
+ (q31_t)0xD1EEF59E, (q31_t)0x8926B677, (q31_t)0xD078AD9D,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A5A7A30,
+ (q31_t)0xCD91AB38, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8C4A142F,
+ (q31_t)0xC945DFEC, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E61D32D,
+ (q31_t)0xC50D1148, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x90A0FD4E,
+ (q31_t)0xC0E8B648, (q31_t)0x91695663, (q31_t)0xBF8C0DE2,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9306CB04,
+ (q31_t)0xBCDA3ECA, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9592675B,
+ (q31_t)0xB8E31319, (q31_t)0x9673DB94, (q31_t)0xB796199B,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x9842F043,
+ (q31_t)0xB5049368, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9B1776D9,
+ (q31_t)0xB140175B, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9E0EFFC1,
+ (q31_t)0xAD96ED91, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA1288376,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA2386283, (q31_t)0xA8E21106,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA462EEAC,
+ (q31_t)0xA69B9B68, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA7BD22AB,
+ (q31_t)0xA34BDF20, (q31_t)0xA8E21106, (q31_t)0xA2386283,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAB35F5B5,
+ (q31_t)0xA01C4C72, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAECC336B,
+ (q31_t)0x9D0DFE53, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB27E9D3B,
+ (q31_t)0x9A22042C, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB64BEACC,
+ (q31_t)0x9759617E, (q31_t)0xB796199B, (q31_t)0x9673DB94,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBA32CA70,
+ (q31_t)0x94B50D87, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBE31E19B,
+ (q31_t)0x9235F2EB, (q31_t)0xBF8C0DE2, (q31_t)0x91695663,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC247CD5A,
+ (q31_t)0x8FDCEF66, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC67322CD,
+ (q31_t)0x8DAAD37B, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCAB26FA9,
+ (q31_t)0x8BA0622F, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCF043AB2,
+ (q31_t)0x89BE50C3, (q31_t)0xD078AD9D, (q31_t)0x8926B677,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD3670445,
+ (q31_t)0x88054677, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD7D946D7,
+ (q31_t)0x8675DC4E, (q31_t)0xD957DE7A, (q31_t)0x85FA1152,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDC597781,
+ (q31_t)0x85109CDC, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE0E60684,
+ (q31_t)0x83D60411, (q31_t)0xE26CB01A, (q31_t)0x8376B422,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE57D5FDA,
+ (q31_t)0x82C67F13, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xEA1DEBBB,
+ (q31_t)0x81E26C16, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEEC60F31,
+ (q31_t)0x812A1A39, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF3742CA1,
+ (q31_t)0x809DC970, (q31_t)0xF50497FA, (q31_t)0x8078D40D,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF826A461,
+ (q31_t)0x803DAA69, (q31_t)0xF9B82683, (q31_t)0x80277872,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFCDBD541,
+ (q31_t)0x8009DE7D, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+
+ */
+const q31_t twiddleCoef_1024_q31[1536] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFF6216,
+ (q31_t)0x00C90F88, (q31_t)0x7FFD885A, (q31_t)0x01921D1F,
+ (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF62182,
+ (q31_t)0x03242ABF, (q31_t)0x7FF09477, (q31_t)0x03ED26E6,
+ (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE1C76B,
+ (q31_t)0x057F0034, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+ (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC25596,
+ (q31_t)0x07D95B9E, (q31_t)0x7FB563B2, (q31_t)0x08A2009A,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F97CEBC,
+ (q31_t)0x0A3308BC, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805,
+ (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92,
+ (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2191B4,
+ (q31_t)0x0EE38765, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+ (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7ED5E5C6,
+ (q31_t)0x1139F0CE, (q31_t)0x7EBA3A39, (q31_t)0x120116D4,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E7F3956,
+ (q31_t)0x138EDBB0, (q31_t)0x7E5FE493, (q31_t)0x145576B1,
+ (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E1D93E9,
+ (q31_t)0x15E21444, (q31_t)0x7DFA98A7, (q31_t)0x16A81305,
+ (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DB0FDF7,
+ (q31_t)0x183366E8, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D3980EC,
+ (q31_t)0x1A82A025, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF,
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+ (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD898620C,
+ (q31_t)0x79C89F6D, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+ (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD65C3B7B,
+ (q31_t)0x7909A92C, (q31_t)0xD59E4EFE, (q31_t)0x78C7ABA1,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD423B190,
+ (q31_t)0x78403328, (q31_t)0xD3670445, (q31_t)0x77FAB988,
+ (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD1EEF59E,
+ (q31_t)0x776C4EDB, (q31_t)0xD13397E1, (q31_t)0x77235F2D,
+ (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCFBE389F,
+ (q31_t)0x768E0EA5, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCD91AB38,
+ (q31_t)0x75A585CF, (q31_t)0xCCD91D3D, (q31_t)0x7555BD4B,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCB697DB0,
+ (q31_t)0x74B2C883, (q31_t)0xCAB26FA9, (q31_t)0x745F9DD1,
+ (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC945DFEC,
+ (q31_t)0x73B5EBD0, (q31_t)0xC89061BA, (q31_t)0x735F6626,
+ (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC727016C,
+ (q31_t)0x72AF05A6, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+ (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC50D1148,
+ (q31_t)0x719E2CD2, (q31_t)0xC45AE1D7, (q31_t)0x71410804,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC2F83E2A,
+ (q31_t)0x708378FE, (q31_t)0xC247CD5A, (q31_t)0x70231099,
+ (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC0E8B648,
+ (q31_t)0x6F5F02B1, (q31_t)0xC03A1368, (q31_t)0x6EFB5F12,
+ (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBEDEA765,
+ (q31_t)0x6E30E349, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+ (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBCDA3ECA,
+ (q31_t)0x6CF934FB, (q31_t)0xBC2F6513, (q31_t)0x6C8F351C,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBADBA943,
+ (q31_t)0x6BB812D0, (q31_t)0xBA32CA70, (q31_t)0x6B4AF278,
+ (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB8E31319,
+ (q31_t)0x6A6D98A4, (q31_t)0xB83C3DD1, (q31_t)0x69FD614A,
+ (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB6F0A811,
+ (q31_t)0x6919E320, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+ (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB5049368,
+ (q31_t)0x67BD0FBC, (q31_t)0xB461FC70, (q31_t)0x6746C7D7,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB31EFFCB,
+ (q31_t)0x66573CBB, (q31_t)0xB27E9D3B, (q31_t)0x65DDFBD3,
+ (q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB140175B,
+ (q31_t)0x64E88926, (q31_t)0xB0A1F71C, (q31_t)0x646C59BF,
+ (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAF6803A1,
+ (q31_t)0x637114CC, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+ (q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xAD96ED91,
+ (q31_t)0x61F1003E, (q31_t)0xACFD7AE8, (q31_t)0x616F146B,
+ (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xABCCFD82,
+ (q31_t)0x60686CCE, (q31_t)0xAB35F5B5, (q31_t)0x5FE3B38D,
+ (q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA0A5B2D,
+ (q31_t)0x5ED77C89, (q31_t)0xA975CB56, (q31_t)0x5E50015D,
+ (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA84F2DA9,
+ (q31_t)0x5D3E5236, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF,
+ (q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA69B9B68,
+ (q31_t)0x5B9D1153, (q31_t)0xA60C21ED, (q31_t)0x5B1035CF,
+ (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA4EFCA31,
+ (q31_t)0x59F3DE12, (q31_t)0xA462EEAC, (q31_t)0x59646497,
+ (q31_t)0xA3D6F533, (q31_t)0x58D40E8C, (q31_t)0xA34BDF20,
+ (q31_t)0x5842DD54, (q31_t)0xA2C1ADC9, (q31_t)0x57B0D256,
+ (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1AFFEA2,
+ (q31_t)0x568A34A9, (q31_t)0xA1288376, (q31_t)0x55F5A4D2,
+ (q31_t)0xA0A1F24C, (q31_t)0x556040E2, (q31_t)0xA01C4C72,
+ (q31_t)0x54CA0A4A, (q31_t)0x9F979331, (q31_t)0x5433027D,
+ (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E90EB94,
+ (q31_t)0x53028517, (q31_t)0x9E0EFFC1, (q31_t)0x5269126E,
+ (q31_t)0x9D8E0596, (q31_t)0x51CED46E, (q31_t)0x9D0DFE53,
+ (q31_t)0x5133CC94, (q31_t)0x9C8EEB33, (q31_t)0x5097FC5E,
+ (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B93A640,
+ (q31_t)0x4F5E08E3, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4,
+ (q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A22042C,
+ (q31_t)0x4D8162C4, (q31_t)0x99A8C344, (q31_t)0x4CE10034,
+ (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x98B93828,
+ (q31_t)0x4B9E038F, (q31_t)0x9842F043, (q31_t)0x4AFB6C97,
+ (q31_t)0x97CDA855, (q31_t)0x4A581C9D, (q31_t)0x9759617E,
+ (q31_t)0x49B41533, (q31_t)0x96E61CDF, (q31_t)0x490F57EE,
+ (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x96029EB5,
+ (q31_t)0x47C3C22E, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+ (q31_t)0x9523369B, (q31_t)0x46756827, (q31_t)0x94B50D87,
+ (q31_t)0x45CD358F, (q31_t)0x9447ED2F, (q31_t)0x452456BC,
+ (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9370CAE4,
+ (q31_t)0x43D09AEC, (q31_t)0x9306CB04, (q31_t)0x4325C135,
+ (q31_t)0x929DD805, (q31_t)0x427A41D0, (q31_t)0x9235F2EB,
+ (q31_t)0x41CE1E64, (q31_t)0x91CF1CB6, (q31_t)0x4121589A,
+ (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x9104A0ED,
+ (q31_t)0x3FC5EC97, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7,
+ (q31_t)0x903E6C7A, (q31_t)0x3E680B2C, (q31_t)0x8FDCEF66,
+ (q31_t)0x3DB832A5, (q31_t)0x8F7C8701, (q31_t)0x3D07C1D5,
+ (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8EBEF7FB,
+ (q31_t)0x3BA51E29, (q31_t)0x8E61D32D, (q31_t)0x3AF2EEB7,
+ (q31_t)0x8E05C6B7, (q31_t)0x3A402DD1, (q31_t)0x8DAAD37B,
+ (q31_t)0x398CDD32, (q31_t)0x8D50FA59, (q31_t)0x38D8FE93,
+ (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8CA099D9,
+ (q31_t)0x376F9E46, (q31_t)0x8C4A142F, (q31_t)0x36BA2013,
+ (q31_t)0x8BF4AC05, (q31_t)0x36041AD9, (q31_t)0x8BA0622F,
+ (q31_t)0x354D9056, (q31_t)0x8B4D377C, (q31_t)0x3496824F,
+ (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8AAA42B4,
+ (q31_t)0x3326E2C2, (q31_t)0x8A5A7A30, (q31_t)0x326E54C7,
+ (q31_t)0x8A0BD3F5, (q31_t)0x31B54A5D, (q31_t)0x89BE50C3,
+ (q31_t)0x30FBC54D, (q31_t)0x8971F15A, (q31_t)0x3041C760,
+ (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x88DCA0D3,
+ (q31_t)0x2ECC681E, (q31_t)0x8893B124, (q31_t)0x2E110A62,
+ (q31_t)0x884BE820, (q31_t)0x2D553AFB, (q31_t)0x88054677,
+ (q31_t)0x2C98FBBA, (q31_t)0x87BFCCD7, (q31_t)0x2BDC4E6F,
+ (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8738545E,
+ (q31_t)0x2A61B101, (q31_t)0x86F656D3, (q31_t)0x29A3C484,
+ (q31_t)0x86B583EE, (q31_t)0x28E5714A, (q31_t)0x8675DC4E,
+ (q31_t)0x2826B928, (q31_t)0x86376092, (q31_t)0x27679DF4,
+ (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x85BDEF27,
+ (q31_t)0x25E845B5, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+ (q31_t)0x8549345C, (q31_t)0x24677757, (q31_t)0x85109CDC,
+ (q31_t)0x23A6887E, (q31_t)0x84D934B0, (q31_t)0x22E541AE,
+ (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x846DF476,
+ (q31_t)0x2161B39F, (q31_t)0x843A1D70, (q31_t)0x209F701C,
+ (q31_t)0x840777CF, (q31_t)0x1FDCDC1A, (q31_t)0x83D60411,
+ (q31_t)0x1F19F97B, (q31_t)0x83A5C2B0, (q31_t)0x1E56CA1E,
+ (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x8348D8DB,
+ (q31_t)0x1CCF8CB3, (q31_t)0x831C314E, (q31_t)0x1C0B826A,
+ (q31_t)0x82F0BDE8, (q31_t)0x1B4732EF, (q31_t)0x82C67F13,
+ (q31_t)0x1A82A025, (q31_t)0x829D753A, (q31_t)0x19BDCBF2,
+ (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x824F0208,
+ (q31_t)0x183366E8, (q31_t)0x82299971, (q31_t)0x176DD9DE,
+ (q31_t)0x82056758, (q31_t)0x16A81305, (q31_t)0x81E26C16,
+ (q31_t)0x15E21444, (q31_t)0x81C0A801, (q31_t)0x151BDF85,
+ (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8180C6A9,
+ (q31_t)0x138EDBB0, (q31_t)0x8162AA03, (q31_t)0x12C8106E,
+ (q31_t)0x8145C5C6, (q31_t)0x120116D4, (q31_t)0x812A1A39,
+ (q31_t)0x1139F0CE, (q31_t)0x810FA7A0, (q31_t)0x1072A047,
+ (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80DE6E4C,
+ (q31_t)0x0EE38765, (q31_t)0x80C7A80A, (q31_t)0x0E1BC2E3,
+ (q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x809DC970,
+ (q31_t)0x0C8BD35E, (q31_t)0x808AB180, (q31_t)0x0BC3AC35,
+ (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80683143,
+ (q31_t)0x0A3308BC, (q31_t)0x8058C94C, (q31_t)0x096A9049,
+ (q31_t)0x804A9C4D, (q31_t)0x08A2009A, (q31_t)0x803DAA69,
+ (q31_t)0x07D95B9E, (q31_t)0x8031F3C1, (q31_t)0x0710A344,
+ (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x801E3894,
+ (q31_t)0x057F0034, (q31_t)0x80163440, (q31_t)0x04B6195D,
+ (q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x8009DE7D,
+ (q31_t)0x03242ABF, (q31_t)0x80058D2E, (q31_t)0x025B26D7,
+ (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80009DE9,
+ (q31_t)0x00C90F88, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x800277A5,
+ (q31_t)0xFE6DE2E0, (q31_t)0x80058D2E, (q31_t)0xFDA4D928,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800F6B88,
+ (q31_t)0xFC12D919, (q31_t)0x80163440, (q31_t)0xFB49E6A2,
+ (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80277872,
+ (q31_t)0xF9B82683, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x804A9C4D,
+ (q31_t)0xF75DFF65, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+ (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x8078D40D,
+ (q31_t)0xF50497FA, (q31_t)0x808AB180, (q31_t)0xF43C53CA,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80B21BAF,
+ (q31_t)0xF2AC246D, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C,
+ (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80F66E3C,
+ (q31_t)0xF054D8D4, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8,
+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8145C5C6,
+ (q31_t)0xEDFEE92B, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+ (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81A01B6C,
+ (q31_t)0xEBAA894E, (q31_t)0x81C0A801, (q31_t)0xEAE4207A,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82056758,
+ (q31_t)0xE957ECFB, (q31_t)0x82299971, (q31_t)0xE8922621,
+ (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x829D753A, (q31_t)0xE642340D,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82F0BDE8,
+ (q31_t)0xE4B8CD10, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+ (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x8376B422,
+ (q31_t)0xE26CB01A, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x840777CF,
+ (q31_t)0xE02323E5, (q31_t)0x843A1D70, (q31_t)0xDF608FE3,
+ (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84A2FC62,
+ (q31_t)0xDDDC5B3A, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8549345C,
+ (q31_t)0xDB9888A8, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85FA1152,
+ (q31_t)0xD957DE7A, (q31_t)0x86376092, (q31_t)0xD898620C,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86B583EE,
+ (q31_t)0xD71A8EB5, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B,
+ (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x877B7BEC,
+ (q31_t)0xD4E0CB14, (q31_t)0x87BFCCD7, (q31_t)0xD423B190,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x884BE820,
+ (q31_t)0xD2AAC504, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+ (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x8926B677,
+ (q31_t)0xD078AD9D, (q31_t)0x8971F15A, (q31_t)0xCFBE389F,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A0BD3F5,
+ (q31_t)0xCE4AB5A2, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38,
+ (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC210D78, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BF4AC05,
+ (q31_t)0xC9FBE527, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+ (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CF83C30,
+ (q31_t)0xC7DB6C50, (q31_t)0x8D50FA59, (q31_t)0xC727016C,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E05C6B7,
+ (q31_t)0xC5BFD22E, (q31_t)0x8E61D32D, (q31_t)0xC50D1148,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x903E6C7A,
+ (q31_t)0xC197F4D3, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+ (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x91695663,
+ (q31_t)0xBF8C0DE2, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x929DD805,
+ (q31_t)0xBD85BE2F, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA,
+ (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93DBD69F,
+ (q31_t)0xBB8532AF, (q31_t)0x9447ED2F, (q31_t)0xBADBA943,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9523369B,
+ (q31_t)0xB98A97D8, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x9673DB94,
+ (q31_t)0xB796199B, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97CDA855,
+ (q31_t)0xB5A7E362, (q31_t)0x9842F043, (q31_t)0xB5049368,
+ (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x99307EE0,
+ (q31_t)0xB3C0200C, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A9C406D,
+ (q31_t)0xB1DEF9E8, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+ (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9C10CD70,
+ (q31_t)0xB0049AB2, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D8E0596,
+ (q31_t)0xAE312B91, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91,
+ (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9F13C7D0,
+ (q31_t)0xAC64D510, (q31_t)0x9F979331, (q31_t)0xABCCFD82,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA0A1F24C,
+ (q31_t)0xAA9FBF1D, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA2386283,
+ (q31_t)0xA8E21106, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3D6F533,
+ (q31_t)0xA72BF173, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68,
+ (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA72BF173,
+ (q31_t)0xA3D6F533, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+ (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8E21106,
+ (q31_t)0xA2386283, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA9FBF1D,
+ (q31_t)0xA0A1F24C, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72,
+ (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC64D510,
+ (q31_t)0x9F13C7D0, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAE312B91,
+ (q31_t)0x9D8E0596, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xB0049AB2,
+ (q31_t)0x9C10CD70, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB1DEF9E8,
+ (q31_t)0x9A9C406D, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C,
+ (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3C0200C,
+ (q31_t)0x99307EE0, (q31_t)0xB461FC70, (q31_t)0x98B93828,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB5A7E362,
+ (q31_t)0x97CDA855, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+ (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB796199B,
+ (q31_t)0x9673DB94, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB98A97D8,
+ (q31_t)0x9523369B, (q31_t)0xBA32CA70, (q31_t)0x94B50D87,
+ (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB8532AF,
+ (q31_t)0x93DBD69F, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD85BE2F,
+ (q31_t)0x929DD805, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+ (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF8C0DE2,
+ (q31_t)0x91695663, (q31_t)0xC03A1368, (q31_t)0x9104A0ED,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC197F4D3,
+ (q31_t)0x903E6C7A, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66,
+ (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5BFD22E,
+ (q31_t)0x8E05C6B7, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+ (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7DB6C50,
+ (q31_t)0x8CF83C30, (q31_t)0xC89061BA, (q31_t)0x8CA099D9,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9FBE527,
+ (q31_t)0x8BF4AC05, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F,
+ (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCC210D78,
+ (q31_t)0x8AFB2CBA, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCE4AB5A2,
+ (q31_t)0x8A0BD3F5, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD078AD9D,
+ (q31_t)0x8926B677, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD2AAC504,
+ (q31_t)0x884BE820, (q31_t)0xD3670445, (q31_t)0x88054677,
+ (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD4E0CB14,
+ (q31_t)0x877B7BEC, (q31_t)0xD59E4EFE, (q31_t)0x8738545E,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD71A8EB5,
+ (q31_t)0x86B583EE, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+ (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD957DE7A,
+ (q31_t)0x85FA1152, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB9888A8,
+ (q31_t)0x8549345C, (q31_t)0xDC597781, (q31_t)0x85109CDC,
+ (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84A2FC62, (q31_t)0xDE9E4C60, (q31_t)0x846DF476,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE02323E5,
+ (q31_t)0x840777CF, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+ (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE26CB01A,
+ (q31_t)0x8376B422, (q31_t)0xE330734C, (q31_t)0x8348D8DB,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4B8CD10,
+ (q31_t)0x82F0BDE8, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13,
+ (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xE7CC9917, (q31_t)0x824F0208,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE957ECFB,
+ (q31_t)0x82056758, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+ (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEBAA894E,
+ (q31_t)0x81A01B6C, (q31_t)0xEC71244F, (q31_t)0x8180C6A9,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEDFEE92B,
+ (q31_t)0x8145C5C6, (q31_t)0xEEC60F31, (q31_t)0x812A1A39,
+ (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xF054D8D4,
+ (q31_t)0x80F66E3C, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2AC246D,
+ (q31_t)0x80B21BAF, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+ (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF50497FA,
+ (q31_t)0x8078D40D, (q31_t)0xF5CCF743, (q31_t)0x80683143,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF75DFF65,
+ (q31_t)0x804A9C4D, (q31_t)0xF826A461, (q31_t)0x803DAA69,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9B82683,
+ (q31_t)0x80277872, (q31_t)0xFA80FFCB, (q31_t)0x801E3894,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFC12D919,
+ (q31_t)0x800F6B88, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D,
+ (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE6DE2E0,
+ (q31_t)0x800277A5, (q31_t)0xFF36F078, (q31_t)0x80009DE9
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_2048_q31[3072] = {
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFD885,
+ (q31_t)0x006487E3, (q31_t)0x7FFF6216, (q31_t)0x00C90F88,
+ (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFD885A,
+ (q31_t)0x01921D1F, (q31_t)0x7FFC250F, (q31_t)0x01F6A296,
+ (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF871A1,
+ (q31_t)0x02BFA9A4, (q31_t)0x7FF62182, (q31_t)0x03242ABF,
+ (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF09477,
+ (q31_t)0x03ED26E6, (q31_t)0x7FED5790, (q31_t)0x0451A176,
+ (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE5F108,
+ (q31_t)0x051A8E5C, (q31_t)0x7FE1C76B, (q31_t)0x057F0034,
+ (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FD8878D,
+ (q31_t)0x0647D97C, (q31_t)0x7FD37152, (q31_t)0x06AC406F,
+ (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC85853,
+ (q31_t)0x077501BE, (q31_t)0x7FC25596, (q31_t)0x07D95B9E,
+ (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB563B2,
+ (q31_t)0x08A2009A, (q31_t)0x7FAE7494, (q31_t)0x09064B3A,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F9FAA15,
+ (q31_t)0x09CECF89, (q31_t)0x7F97CEBC, (q31_t)0x0A3308BC,
+ (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F872BF3,
+ (q31_t)0x0AFB6805, (q31_t)0x7F7E648B, (q31_t)0x0B5F8D9F,
+ (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F6BE9D4,
+ (q31_t)0x0C27C389, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+ (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F4DE450,
+ (q31_t)0x0D53DB92, (q31_t)0x7F434563, (q31_t)0x0DB7D376,
+ (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2D1C0E,
+ (q31_t)0x0E7FA99D, (q31_t)0x7F2191B4, (q31_t)0x0EE38765,
+ (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0991C3,
+ (q31_t)0x0FAB272B, (q31_t)0x7EFD1C3C, (q31_t)0x100EE8AD,
+ (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE34635,
+ (q31_t)0x10D64DBC, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE,
+ (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EBA3A39,
+ (q31_t)0x120116D4, (q31_t)0x7EABEF2C, (q31_t)0x1264994E,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E8E6EB1,
+ (q31_t)0x132B7BF9, (q31_t)0x7E7F3956, (q31_t)0x138EDBB0,
+ (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E5FE493,
+ (q31_t)0x145576B1, (q31_t)0x7E4FC53E, (q31_t)0x14B8B17F,
+ (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E2E9CDF,
+ (q31_t)0x157F0086, (q31_t)0x7E1D93E9, (q31_t)0x15E21444,
+ (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7DFA98A7,
+ (q31_t)0x16A81305, (q31_t)0x7DE8A670, (q31_t)0x170AFD8D,
+ (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DC3D90D,
+ (q31_t)0x17D0A7BB, (q31_t)0x7DB0FDF7, (q31_t)0x183366E8,
+ (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D8A5F3F,
+ (q31_t)0x18F8B83C, (q31_t)0x7D769BB5, (q31_t)0x195B49E9,
+ (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D4E2C7E,
+ (q31_t)0x1A203E1B, (q31_t)0x7D3980EC, (q31_t)0x1A82A025,
+ (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D0F4218,
+ (q31_t)0x1B4732EF, (q31_t)0x7CF9AEF0, (q31_t)0x1BA96334,
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+ (q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA17BA4A,
+ (q31_t)0x7A4210D8, (q31_t)0xD9B7C093, (q31_t)0x7A24256E,
+ (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD8F81439,
+ (q31_t)0x79E76CA6, (q31_t)0xD898620C, (q31_t)0x79C89F6D,
+ (q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD7D946D7,
+ (q31_t)0x798A23B1, (q31_t)0xD779DE46, (q31_t)0x796A7554,
+ (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6BB585D,
+ (q31_t)0x792A37FE, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C,
+ (q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD59E4EFE,
+ (q31_t)0x78C7ABA1, (q31_t)0xD53F7FDA, (q31_t)0x78A63D10,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD48230E8,
+ (q31_t)0x786280BF, (q31_t)0xD423B190, (q31_t)0x78403328,
+ (q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3670445,
+ (q31_t)0x77FAB988, (q31_t)0xD308D6C6, (q31_t)0x77D78DAA,
+ (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD24CCF38,
+ (q31_t)0x7790583D, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB,
+ (q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD13397E1,
+ (q31_t)0x77235F2D, (q31_t)0xD0D61433, (q31_t)0x76FE790E,
+ (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD01B6459,
+ (q31_t)0x76B3D0B3, (q31_t)0xCFBE389F, (q31_t)0x768E0EA5,
+ (q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF043AB2,
+ (q31_t)0x7641AF3C, (q31_t)0xCEA768F2, (q31_t)0x761B1211,
+ (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCDEE20FC,
+ (q31_t)0x75CCFD42, (q31_t)0xCD91AB38, (q31_t)0x75A585CF,
+ (q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCCD91D3D,
+ (q31_t)0x7555BD4B, (q31_t)0xCC7D0577, (q31_t)0x752D6C6C,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBC53578,
+ (q31_t)0x74DBF1EF, (q31_t)0xCB697DB0, (q31_t)0x74B2C883,
+ (q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAB26FA9,
+ (q31_t)0x745F9DD1, (q31_t)0xCA5719DB, (q31_t)0x74359CBD,
+ (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9A0D1C4,
+ (q31_t)0x73E0C3A3, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+ (q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC89061BA,
+ (q31_t)0x735F6626, (q31_t)0xC835D5D0, (q31_t)0x7333B883,
+ (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7812571,
+ (q31_t)0x72DB8828, (q31_t)0xC727016C, (q31_t)0x72AF05A6,
+ (q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC67322CD,
+ (q31_t)0x72552C84, (q31_t)0xC61968A2, (q31_t)0x7227D61C,
+ (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC5665FA8,
+ (q31_t)0x71CC5626, (q31_t)0xC50D1148, (q31_t)0x719E2CD2,
+ (q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC45AE1D7,
+ (q31_t)0x71410804, (q31_t)0xC4020132, (q31_t)0x71120CC5,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC350AF25,
+ (q31_t)0x70B34524, (q31_t)0xC2F83E2A, (q31_t)0x708378FE,
+ (q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC247CD5A,
+ (q31_t)0x70231099, (q31_t)0xC1EFCDF2, (q31_t)0x6FF27496,
+ (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC1404233,
+ (q31_t)0x6F906D84, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1,
+ (q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC03A1368,
+ (q31_t)0x6EFB5F12, (q31_t)0xBFE2FCDF, (q31_t)0x6EC92682,
+ (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF3546A8,
+ (q31_t)0x6E63E87F, (q31_t)0xBEDEA765, (q31_t)0x6E30E349,
+ (q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE31E19B,
+ (q31_t)0x6DCA0D14, (q31_t)0xBDDBBB7F, (q31_t)0x6D963C54,
+ (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD2FE9E1,
+ (q31_t)0x6D2DD027, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB,
+ (q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC2F6513,
+ (q31_t)0x6C8F351C, (q31_t)0xBBDA36DC, (q31_t)0x6C59D0A9,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB3058C0,
+ (q31_t)0x6BEE3F62, (q31_t)0xBADBA943, (q31_t)0x6BB812D0,
+ (q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA32CA70,
+ (q31_t)0x6B4AF278, (q31_t)0xB9DE9B83, (q31_t)0x6B13FEF5,
+ (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB936BFA3,
+ (q31_t)0x6AA551E8, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+ (q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB83C3DD1,
+ (q31_t)0x69FD614A, (q31_t)0xB7E9157A, (q31_t)0x69C4E37A,
+ (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB7434A67,
+ (q31_t)0x69532442, (q31_t)0xB6F0A811, (q31_t)0x6919E320,
+ (q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB64BEACC,
+ (q31_t)0x68A69E81, (q31_t)0xB5F9D042, (q31_t)0x686C9B4B,
+ (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB556245E,
+ (q31_t)0x67F7D3C4, (q31_t)0xB5049368, (q31_t)0x67BD0FBC,
+ (q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB461FC70,
+ (q31_t)0x6746C7D7, (q31_t)0xB410F6D2, (q31_t)0x670B4443,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB36F784E,
+ (q31_t)0x66937E90, (q31_t)0xB31EFFCB, (q31_t)0x66573CBB,
+ (q31_t)0xB2CEB6B5, (q31_t)0x661ABBC5, (q31_t)0xB27E9D3B,
+ (q31_t)0x65DDFBD3, (q31_t)0xB22EB392, (q31_t)0x65A0FD0B,
+ (q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB18F7070,
+ (q31_t)0x6526438E, (q31_t)0xB140175B, (q31_t)0x64E88926,
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+ (q31_t)0x646C59BF, (q31_t)0xB0533055, (q31_t)0x642DE50D,
+ (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAFB63667,
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+ (q31_t)0xAF1A0293, (q31_t)0x6331A9D4, (q31_t)0xAECC336B,
+ (q31_t)0x62F201AC, (q31_t)0xAE7E965B, (q31_t)0x62B21C7B,
+ (q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xADE3F33E,
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+ (q31_t)0xAD4A1ABA, (q31_t)0x61B02876, (q31_t)0xACFD7AE8,
+ (q31_t)0x616F146B, (q31_t)0xACB10E4A, (q31_t)0x612DC446,
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+ (q31_t)0xAB815F8C, (q31_t)0x60262DD5, (q31_t)0xAB35F5B5,
+ (q31_t)0x5FE3B38D, (q31_t)0xAAEAC02B, (q31_t)0x5FA0FE1E,
+ (q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA54F2B9,
+ (q31_t)0x5F1AE273, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+ (q31_t)0xA9BFF8A8, (q31_t)0x5E93DC1F, (q31_t)0xA975CB56,
+ (q31_t)0x5E50015D, (q31_t)0xA92BD366, (q31_t)0x5E0BEC6E,
+ (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA8988463,
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+ (q31_t)0xA8060D08, (q31_t)0x5CF95638, (q31_t)0xA7BD22AB,
+ (q31_t)0x5CB420DF, (q31_t)0xA7746EC0, (q31_t)0x5C6EB258,
+ (q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA6E3AAF2,
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+ (q31_t)0xA653C302, (q31_t)0x5B56BFBD, (q31_t)0xA60C21ED,
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+ (q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A5F02F5,
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+ (q31_t)0x3BFDFECD, (q31_t)0x8EBEF7FB, (q31_t)0x3BA51E29,
+ (q31_t)0x8E904298, (q31_t)0x3B4C18BA, (q31_t)0x8E61D32D,
+ (q31_t)0x3AF2EEB7, (q31_t)0x8E33A9D9, (q31_t)0x3A99A057,
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+ (q31_t)0x39E6975D, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32,
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+ (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8CCC477D,
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+ (q31_t)0x36BA2013, (q31_t)0x8C1F3C5C, (q31_t)0x365F2E3B,
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+ (q31_t)0x2BDC4E6F, (q31_t)0x879D7F40, (q31_t)0x2B7DCF17,
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+ (q31_t)0x8453E2CE, (q31_t)0x21009C0B, (q31_t)0x843A1D70,
+ (q31_t)0x209F701C, (q31_t)0x8420A46B, (q31_t)0x203E300D,
+ (q31_t)0x840777CF, (q31_t)0x1FDCDC1A, (q31_t)0x83EE97AC,
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+ (q31_t)0x83BDBD0D, (q31_t)0x1EB86B46, (q31_t)0x83A5C2B0,
+ (q31_t)0x1E56CA1E, (q31_t)0x838E1507, (q31_t)0x1DF5163F,
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+ (q31_t)0x176DD9DE, (q31_t)0x8217598F, (q31_t)0x170AFD8D,
+ (q31_t)0x82056758, (q31_t)0x16A81305, (q31_t)0x81F3C2D7,
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+ (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x81904A0C,
+ (q31_t)0x13F22F57, (q31_t)0x8180C6A9, (q31_t)0x138EDBB0,
+ (q31_t)0x8171914E, (q31_t)0x132B7BF9, (q31_t)0x8162AA03,
+ (q31_t)0x12C8106E, (q31_t)0x815410D3, (q31_t)0x1264994E,
+ (q31_t)0x8145C5C6, (q31_t)0x120116D4, (q31_t)0x8137C8E6,
+ (q31_t)0x119D8940, (q31_t)0x812A1A39, (q31_t)0x1139F0CE,
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+ (q31_t)0x0E1BC2E3, (q31_t)0x80BCBA9C, (q31_t)0x0DB7D376,
+ (q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x80A7CB49,
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+ (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80705B50,
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+ (q31_t)0x806055EA, (q31_t)0x09CECF89, (q31_t)0x8058C94C,
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+ (q31_t)0x8037A7AC, (q31_t)0x077501BE, (q31_t)0x8031F3C1,
+ (q31_t)0x0710A344, (q31_t)0x802C8EAD, (q31_t)0x06AC406F,
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+ (q31_t)0x0388A9E9, (q31_t)0x8009DE7D, (q31_t)0x03242ABF,
+ (q31_t)0x80078E5E, (q31_t)0x02BFA9A4, (q31_t)0x80058D2E,
+ (q31_t)0x025B26D7, (q31_t)0x8003DAF0, (q31_t)0x01F6A296,
+ (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x8001634D,
+ (q31_t)0x012D96B0, (q31_t)0x80009DE9, (q31_t)0x00C90F88,
+ (q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x80000000,
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+ (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8001634D,
+ (q31_t)0xFED2694F, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0,
+ (q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x80058D2E,
+ (q31_t)0xFDA4D928, (q31_t)0x80078E5E, (q31_t)0xFD40565B,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800C7D8C,
+ (q31_t)0xFC775616, (q31_t)0x800F6B88, (q31_t)0xFC12D919,
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+ (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x8022B113,
+ (q31_t)0xFA1C9156, (q31_t)0x80277872, (q31_t)0xF9B82683,
+ (q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x8031F3C1,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8037A7AC, (q31_t)0xF88AFE41,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8043FBF6,
+ (q31_t)0xF7C24F58, (q31_t)0x804A9C4D, (q31_t)0xF75DFF65,
+ (q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x8058C94C,
+ (q31_t)0xF6956FB6, (q31_t)0x806055EA, (q31_t)0xF6313076,
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+ (q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x808AB180,
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+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A7CB49,
+ (q31_t)0xF310248A, (q31_t)0x80B21BAF, (q31_t)0xF2AC246D,
+ (q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C7A80A,
+ (q31_t)0xF1E43D1C, (q31_t)0x80D2E3F1, (q31_t)0xF1805662,
+ (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80EA4712,
+ (q31_t)0xF0B8A401, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4,
+ (q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x810FA7A0,
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+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8137C8E6,
+ (q31_t)0xEE6276BF, (q31_t)0x8145C5C6, (q31_t)0xEDFEE92B,
+ (q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x8162AA03,
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+ (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81904A0C,
+ (q31_t)0xEC0DD0A8, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E,
+ (q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81C0A801,
+ (q31_t)0xEAE4207A, (q31_t)0x81D16320, (q31_t)0xEA80FF79,
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+ (q31_t)0xE9BAE57C, (q31_t)0x82056758, (q31_t)0xE957ECFB,
+ (q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82299971,
+ (q31_t)0xE8922621, (q31_t)0x823C26F2, (q31_t)0xE82F5844,
+ (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82622AA5,
+ (q31_t)0xE769E8D8, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+ (q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x829D753A,
+ (q31_t)0xE642340D, (q31_t)0x82B1D381, (q31_t)0xE5DFC1E4,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82DB77E5,
+ (q31_t)0xE51B0E2A, (q31_t)0x82F0BDE8, (q31_t)0xE4B8CD10,
+ (q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x831C314E,
+ (q31_t)0xE3F47D95, (q31_t)0x83325E97, (q31_t)0xE3926FAC,
+ (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835FA00E,
+ (q31_t)0xE2CE88B2, (q31_t)0x8376B422, (q31_t)0xE26CB01A,
+ (q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x83A5C2B0,
+ (q31_t)0xE1A935E1, (q31_t)0x83BDBD0D, (q31_t)0xE14794B9,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83EE97AC,
+ (q31_t)0xE0848B7F, (q31_t)0x840777CF, (q31_t)0xE02323E5,
+ (q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x843A1D70,
+ (q31_t)0xDF608FE3, (q31_t)0x8453E2CE, (q31_t)0xDEFF63F4,
+ (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84885257,
+ (q31_t)0xDE3D4963, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84D934B0,
+ (q31_t)0xDD1ABE51, (q31_t)0x84F4C2D3, (q31_t)0xDCBA1008,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x852CC2BA,
+ (q31_t)0xDBF8F4F8, (q31_t)0x8549345C, (q31_t)0xDB9888A8,
+ (q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x8582FAA4,
+ (q31_t)0xDAD7F3A2, (q31_t)0x85A04F28, (q31_t)0xDA77CB62,
+ (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85DBDA91,
+ (q31_t)0xD9B7C093, (q31_t)0x85FA1152, (q31_t)0xD957DE7A,
+ (q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x86376092,
+ (q31_t)0xD898620C, (q31_t)0x865678EA, (q31_t)0xD838C82D,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86958AAB,
+ (q31_t)0xD779DE46, (q31_t)0x86B583EE, (q31_t)0xD71A8EB5,
+ (q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86F656D3,
+ (q31_t)0xD65C3B7B, (q31_t)0x8717304E, (q31_t)0xD5FD3847,
+ (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x8759C2EF,
+ (q31_t)0xD53F7FDA, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+ (q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87BFCCD7,
+ (q31_t)0xD423B190, (q31_t)0x87E2649B, (q31_t)0xD3C54D46,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x88287255,
+ (q31_t)0xD308D6C6, (q31_t)0x884BE820, (q31_t)0xD2AAC504,
+ (q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8893B124,
+ (q31_t)0xD1EEF59E, (q31_t)0x88B80431, (q31_t)0xD191386D,
+ (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x890186F1,
+ (q31_t)0xD0D61433, (q31_t)0x8926B677, (q31_t)0xD078AD9D,
+ (q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x8971F15A,
+ (q31_t)0xCFBE389F, (q31_t)0x8997FC89, (q31_t)0xCF612AAA,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89E4EDEE,
+ (q31_t)0xCEA768F2, (q31_t)0x8A0BD3F5, (q31_t)0xCE4AB5A2,
+ (q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A5A7A30,
+ (q31_t)0xCD91AB38, (q31_t)0x8A823A35, (q31_t)0xCD355490,
+ (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AD29393,
+ (q31_t)0xCC7D0577, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78,
+ (q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B4D377C,
+ (q31_t)0xCB697DB0, (q31_t)0x8B76A8E4, (q31_t)0xCB0DE658,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BCA6342,
+ (q31_t)0xCA5719DB, (q31_t)0x8BF4AC05, (q31_t)0xC9FBE527,
+ (q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C4A142F,
+ (q31_t)0xC945DFEC, (q31_t)0x8C753361, (q31_t)0xC8EB0FD6,
+ (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CCC477D,
+ (q31_t)0xC835D5D0, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50,
+ (q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D50FA59,
+ (q31_t)0xC727016C, (q31_t)0x8D7DC399, (q31_t)0xC6CD0079,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DD829E4,
+ (q31_t)0xC61968A2, (q31_t)0x8E05C6B7, (q31_t)0xC5BFD22E,
+ (q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E61D32D,
+ (q31_t)0xC50D1148, (q31_t)0x8E904298, (q31_t)0xC4B3E746,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8EEDF33B,
+ (q31_t)0xC4020132, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+ (q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F7C8701,
+ (q31_t)0xC2F83E2A, (q31_t)0x8FAC988E, (q31_t)0xC29FF2D4,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x900D8B69,
+ (q31_t)0xC1EFCDF2, (q31_t)0x903E6C7A, (q31_t)0xC197F4D3,
+ (q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90A0FD4E,
+ (q31_t)0xC0E8B648, (q31_t)0x90D2ACD3, (q31_t)0xC0915147,
+ (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x9136D97D,
+ (q31_t)0xBFE2FCDF, (q31_t)0x91695663, (q31_t)0xBF8C0DE2,
+ (q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91CF1CB6,
+ (q31_t)0xBEDEA765, (q31_t)0x920265E4, (q31_t)0xBE88304F,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9269C3AC,
+ (q31_t)0xBDDBBB7F, (q31_t)0x929DD805, (q31_t)0xBD85BE2F,
+ (q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x9306CB04,
+ (q31_t)0xBCDA3ECA, (q31_t)0x933BA968, (q31_t)0xBC84BD1E,
+ (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93A62F56,
+ (q31_t)0xBBDA36DC, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF,
+ (q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x9447ED2F,
+ (q31_t)0xBADBA943, (q31_t)0x947E5C32, (q31_t)0xBA87246C,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94EC010B,
+ (q31_t)0xB9DE9B83, (q31_t)0x9523369B, (q31_t)0xB98A97D8,
+ (q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x9592675B,
+ (q31_t)0xB8E31319, (q31_t)0x95CA6246, (q31_t)0xB88F926C,
+ (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x963B1C85,
+ (q31_t)0xB7E9157A, (q31_t)0x9673DB94, (q31_t)0xB796199B,
+ (q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96E61CDF,
+ (q31_t)0xB6F0A811, (q31_t)0x971F9ED6, (q31_t)0xB69E32CD,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x979364B5,
+ (q31_t)0xB5F9D042, (q31_t)0x97CDA855, (q31_t)0xB5A7E362,
+ (q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9842F043,
+ (q31_t)0xB5049368, (q31_t)0x987DF449, (q31_t)0xB4B330B2,
+ (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98F4BBBC,
+ (q31_t)0xB410F6D2, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+ (q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x99A8C344,
+ (q31_t)0xB31EFFCB, (q31_t)0x99E5443A, (q31_t)0xB2CEB6B5,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A5F02F5,
+ (q31_t)0xB22EB392, (q31_t)0x9A9C406D, (q31_t)0xB1DEF9E8,
+ (q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9B1776D9,
+ (q31_t)0xB140175B, (q31_t)0x9B556F80, (q31_t)0xB0F0EEDA,
+ (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BD21AF2,
+ (q31_t)0xB0533055, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2,
+ (q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C8EEB33,
+ (q31_t)0xAF6803A1, (q31_t)0x9CCE562B, (q31_t)0xAF1A0293,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D4DE384,
+ (q31_t)0xAE7E965B, (q31_t)0x9D8E0596, (q31_t)0xAE312B91,
+ (q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9E0EFFC1,
+ (q31_t)0xAD96ED91, (q31_t)0x9E4FD789, (q31_t)0xAD4A1ABA,
+ (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9ED23BB9,
+ (q31_t)0xACB10E4A, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510,
+ (q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F979331,
+ (q31_t)0xABCCFD82, (q31_t)0x9FD9D22A, (q31_t)0xAB815F8C,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA05F01E1,
+ (q31_t)0xAAEAC02B, (q31_t)0xA0A1F24C, (q31_t)0xAA9FBF1D,
+ (q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA1288376,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA16C23E1, (q31_t)0xA9BFF8A8,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1F41391,
+ (q31_t)0xA92BD366, (q31_t)0xA2386283, (q31_t)0xA8E21106,
+ (q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA2C1ADC9,
+ (q31_t)0xA84F2DA9, (q31_t)0xA306A9C7, (q31_t)0xA8060D08,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3914DA7,
+ (q31_t)0xA7746EC0, (q31_t)0xA3D6F533, (q31_t)0xA72BF173,
+ (q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA462EEAC,
+ (q31_t)0xA69B9B68, (q31_t)0xA4A94042, (q31_t)0xA653C302,
+ (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA5368C4B,
+ (q31_t)0xA5C4B855, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+ (q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA60C21ED,
+ (q31_t)0xA4EFCA31, (q31_t)0xA653C302, (q31_t)0xA4A94042,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6E3AAF2,
+ (q31_t)0xA41CD598, (q31_t)0xA72BF173, (q31_t)0xA3D6F533,
+ (q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA7BD22AB,
+ (q31_t)0xA34BDF20, (q31_t)0xA8060D08, (q31_t)0xA306A9C7,
+ (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8988463,
+ (q31_t)0xA27CEB4F, (q31_t)0xA8E21106, (q31_t)0xA2386283,
+ (q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA975CB56,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA9BFF8A8, (q31_t)0xA16C23E1,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA54F2B9,
+ (q31_t)0xA0E51D8C, (q31_t)0xAA9FBF1D, (q31_t)0xA0A1F24C,
+ (q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB35F5B5,
+ (q31_t)0xA01C4C72, (q31_t)0xAB815F8C, (q31_t)0x9FD9D22A,
+ (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC18CF68,
+ (q31_t)0x9F558FB0, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0,
+ (q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACFD7AE8,
+ (q31_t)0x9E90EB94, (q31_t)0xAD4A1ABA, (q31_t)0x9E4FD789,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADE3F33E,
+ (q31_t)0x9DCE6462, (q31_t)0xAE312B91, (q31_t)0x9D8E0596,
+ (q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAECC336B,
+ (q31_t)0x9D0DFE53, (q31_t)0xAF1A0293, (q31_t)0x9CCE562B,
+ (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAFB63667,
+ (q31_t)0x9C4FBD92, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70,
+ (q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB0A1F71C,
+ (q31_t)0x9B93A640, (q31_t)0xB0F0EEDA, (q31_t)0x9B556F80,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB18F7070,
+ (q31_t)0x9AD9BC71, (q31_t)0xB1DEF9E8, (q31_t)0x9A9C406D,
+ (q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB27E9D3B,
+ (q31_t)0x9A22042C, (q31_t)0xB2CEB6B5, (q31_t)0x99E5443A,
+ (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB36F784E,
+ (q31_t)0x996C816F, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+ (q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB461FC70,
+ (q31_t)0x98B93828, (q31_t)0xB4B330B2, (q31_t)0x987DF449,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB556245E,
+ (q31_t)0x98082C3B, (q31_t)0xB5A7E362, (q31_t)0x97CDA855,
+ (q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB64BEACC,
+ (q31_t)0x9759617E, (q31_t)0xB69E32CD, (q31_t)0x971F9ED6,
+ (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB7434A67,
+ (q31_t)0x96ACDBBD, (q31_t)0xB796199B, (q31_t)0x9673DB94,
+ (q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB83C3DD1,
+ (q31_t)0x96029EB5, (q31_t)0xB88F926C, (q31_t)0x95CA6246,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB936BFA3,
+ (q31_t)0x955AAE17, (q31_t)0xB98A97D8, (q31_t)0x9523369B,
+ (q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA32CA70,
+ (q31_t)0x94B50D87, (q31_t)0xBA87246C, (q31_t)0x947E5C32,
+ (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB3058C0,
+ (q31_t)0x9411C09D, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F,
+ (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC2F6513,
+ (q31_t)0x9370CAE4, (q31_t)0xBC84BD1E, (q31_t)0x933BA968,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD2FE9E1,
+ (q31_t)0x92D22FD8, (q31_t)0xBD85BE2F, (q31_t)0x929DD805,
+ (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE31E19B,
+ (q31_t)0x9235F2EB, (q31_t)0xBE88304F, (q31_t)0x920265E4,
+ (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF3546A8,
+ (q31_t)0x919C1780, (q31_t)0xBF8C0DE2, (q31_t)0x91695663,
+ (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC03A1368,
+ (q31_t)0x9104A0ED, (q31_t)0xC0915147, (q31_t)0x90D2ACD3,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1404233,
+ (q31_t)0x906F927B, (q31_t)0xC197F4D3, (q31_t)0x903E6C7A,
+ (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC247CD5A,
+ (q31_t)0x8FDCEF66, (q31_t)0xC29FF2D4, (q31_t)0x8FAC988E,
+ (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC350AF25,
+ (q31_t)0x8F4CBADB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+ (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC45AE1D7,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC4B3E746, (q31_t)0x8E904298,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5665FA8,
+ (q31_t)0x8E33A9D9, (q31_t)0xC5BFD22E, (q31_t)0x8E05C6B7,
+ (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC67322CD,
+ (q31_t)0x8DAAD37B, (q31_t)0xC6CD0079, (q31_t)0x8D7DC399,
+ (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7812571,
+ (q31_t)0x8D2477D8, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30,
+ (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC89061BA,
+ (q31_t)0x8CA099D9, (q31_t)0xC8EB0FD6, (q31_t)0x8C753361,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9A0D1C4,
+ (q31_t)0x8C1F3C5C, (q31_t)0xC9FBE527, (q31_t)0x8BF4AC05,
+ (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCAB26FA9,
+ (q31_t)0x8BA0622F, (q31_t)0xCB0DE658, (q31_t)0x8B76A8E4,
+ (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCBC53578,
+ (q31_t)0x8B240E10, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCD91D3D,
+ (q31_t)0x8AAA42B4, (q31_t)0xCD355490, (q31_t)0x8A823A35,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDEE20FC,
+ (q31_t)0x8A3302BD, (q31_t)0xCE4AB5A2, (q31_t)0x8A0BD3F5,
+ (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCF043AB2,
+ (q31_t)0x89BE50C3, (q31_t)0xCF612AAA, (q31_t)0x8997FC89,
+ (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD01B6459,
+ (q31_t)0x894C2F4C, (q31_t)0xD078AD9D, (q31_t)0x8926B677,
+ (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD13397E1,
+ (q31_t)0x88DCA0D3, (q31_t)0xD191386D, (q31_t)0x88B80431,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD24CCF38,
+ (q31_t)0x886FA7C2, (q31_t)0xD2AAC504, (q31_t)0x884BE820,
+ (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD3670445,
+ (q31_t)0x88054677, (q31_t)0xD3C54D46, (q31_t)0x87E2649B,
+ (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD48230E8,
+ (q31_t)0x879D7F40, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+ (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD59E4EFE,
+ (q31_t)0x8738545E, (q31_t)0xD5FD3847, (q31_t)0x8717304E,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD6BB585D,
+ (q31_t)0x86D5C802, (q31_t)0xD71A8EB5, (q31_t)0x86B583EE,
+ (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7D946D7,
+ (q31_t)0x8675DC4E, (q31_t)0xD838C82D, (q31_t)0x865678EA,
+ (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8F81439,
+ (q31_t)0x86189359, (q31_t)0xD957DE7A, (q31_t)0x85FA1152,
+ (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xDA17BA4A,
+ (q31_t)0x85BDEF27, (q31_t)0xDA77CB62, (q31_t)0x85A04F28,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB3832CD,
+ (q31_t)0x8565F1B0, (q31_t)0xDB9888A8, (q31_t)0x8549345C,
+ (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC597781,
+ (q31_t)0x85109CDC, (q31_t)0xDCBA1008, (q31_t)0x84F4C2D3,
+ (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD7B8220,
+ (q31_t)0x84BDF285, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62,
+ (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE9E4C60,
+ (q31_t)0x846DF476, (q31_t)0xDEFF63F4, (q31_t)0x8453E2CE,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDFC1CFF2,
+ (q31_t)0x8420A46B, (q31_t)0xE02323E5, (q31_t)0x840777CF,
+ (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0E60684,
+ (q31_t)0x83D60411, (q31_t)0xE14794B9, (q31_t)0x83BDBD0D,
+ (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE20AE9C1,
+ (q31_t)0x838E1507, (q31_t)0xE26CB01A, (q31_t)0x8376B422,
+ (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE330734C,
+ (q31_t)0x8348D8DB, (q31_t)0xE3926FAC, (q31_t)0x83325E97,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4569CCB,
+ (q31_t)0x8306510F, (q31_t)0xE4B8CD10, (q31_t)0x82F0BDE8,
+ (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE57D5FDA,
+ (q31_t)0x82C67F13, (q31_t)0xE5DFC1E4, (q31_t)0x82B1D381,
+ (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6A4B616,
+ (q31_t)0x8289644A, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+ (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE7CC9917,
+ (q31_t)0x824F0208, (q31_t)0xE82F5844, (q31_t)0x823C26F2,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8F50273,
+ (q31_t)0x8217598F, (q31_t)0xE957ECFB, (q31_t)0x82056758,
+ (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xEA1DEBBB,
+ (q31_t)0x81E26C16, (q31_t)0xEA80FF79, (q31_t)0x81D16320,
+ (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB474E80,
+ (q31_t)0x81B03AC1, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C,
+ (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC71244F,
+ (q31_t)0x8180C6A9, (q31_t)0xECD48406, (q31_t)0x8171914E,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED9B66B2,
+ (q31_t)0x815410D3, (q31_t)0xEDFEE92B, (q31_t)0x8145C5C6,
+ (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEEC60F31,
+ (q31_t)0x812A1A39, (q31_t)0xEF29B243, (q31_t)0x811CB9CA,
+ (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFF11752,
+ (q31_t)0x8102E3C3, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C,
+ (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF11C789A,
+ (q31_t)0x80DE6E4C, (q31_t)0xF1805662, (q31_t)0x80D2E3F1,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2482C89,
+ (q31_t)0x80BCBA9C, (q31_t)0xF2AC246D, (q31_t)0x80B21BAF,
+ (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF3742CA1,
+ (q31_t)0x809DC970, (q31_t)0xF3D83C76, (q31_t)0x8094162B,
+ (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF4A07260,
+ (q31_t)0x80819B74, (q31_t)0xF50497FA, (q31_t)0x8078D40D,
+ (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF5CCF743,
+ (q31_t)0x80683143, (q31_t)0xF6313076, (q31_t)0x806055EA,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6F9B4C5,
+ (q31_t)0x80518B6B, (q31_t)0xF75DFF65, (q31_t)0x804A9C4D,
+ (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF826A461,
+ (q31_t)0x803DAA69, (q31_t)0xF88AFE41, (q31_t)0x8037A7AC,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF953BF90,
+ (q31_t)0x802C8EAD, (q31_t)0xF9B82683, (q31_t)0x80277872,
+ (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA80FFCB,
+ (q31_t)0x801E3894, (q31_t)0xFAE571A4, (q31_t)0x801A0EF7,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFBAE5E89,
+ (q31_t)0x8012A86F, (q31_t)0xFC12D919, (q31_t)0x800F6B88,
+ (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCDBD541,
+ (q31_t)0x8009DE7D, (q31_t)0xFD40565B, (q31_t)0x80078E5E,
+ (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE095D69,
+ (q31_t)0x8003DAF0, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5,
+ (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF36F078,
+ (q31_t)0x80009DE9, (q31_t)0xFF9B781D, (q31_t)0x8000277A
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096)
+/**
+ @par
+ Example code for Q31 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefQ31[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to Q31(Fixed point 1.31):
+ round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_4096_q31[6144] =
+{
+ (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFF621,
+ (q31_t)0x003243F5, (q31_t)0x7FFFD885, (q31_t)0x006487E3,
+ (q31_t)0x7FFFA72C, (q31_t)0x0096CBC1, (q31_t)0x7FFF6216,
+ (q31_t)0x00C90F88, (q31_t)0x7FFF0942, (q31_t)0x00FB532F,
+ (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFE1C64,
+ (q31_t)0x015FDA03, (q31_t)0x7FFD885A, (q31_t)0x01921D1F,
+ (q31_t)0x7FFCE093, (q31_t)0x01C45FFE, (q31_t)0x7FFC250F,
+ (q31_t)0x01F6A296, (q31_t)0x7FFB55CE, (q31_t)0x0228E4E1,
+ (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF97C17,
+ (q31_t)0x028D6870, (q31_t)0x7FF871A1, (q31_t)0x02BFA9A4,
+ (q31_t)0x7FF7536F, (q31_t)0x02F1EA6B, (q31_t)0x7FF62182,
+ (q31_t)0x03242ABF, (q31_t)0x7FF4DBD8, (q31_t)0x03566A96,
+ (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF21553,
+ (q31_t)0x03BAE8B1, (q31_t)0x7FF09477, (q31_t)0x03ED26E6,
+ (q31_t)0x7FEEFFE1, (q31_t)0x041F647F, (q31_t)0x7FED5790,
+ (q31_t)0x0451A176, (q31_t)0x7FEB9B85, (q31_t)0x0483DDC3,
+ (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE7E840,
+ (q31_t)0x04E8543D, (q31_t)0x7FE5F108, (q31_t)0x051A8E5C,
+ (q31_t)0x7FE3E616, (q31_t)0x054CC7B0, (q31_t)0x7FE1C76B,
+ (q31_t)0x057F0034, (q31_t)0x7FDF9508, (q31_t)0x05B137DF,
+ (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FDAF518,
+ (q31_t)0x0615A48A, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+ (q31_t)0x7FD6064B, (q31_t)0x067A0D75, (q31_t)0x7FD37152,
+ (q31_t)0x06AC406F, (q31_t)0x7FD0C8A3, (q31_t)0x06DE7261,
+ (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FCB3C23,
+ (q31_t)0x0742D310, (q31_t)0x7FC85853, (q31_t)0x077501BE,
+ (q31_t)0x7FC560CF, (q31_t)0x07A72F45, (q31_t)0x7FC25596,
+ (q31_t)0x07D95B9E, (q31_t)0x7FBF36A9, (q31_t)0x080B86C1,
+ (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB8BDB7,
+ (q31_t)0x086FD947, (q31_t)0x7FB563B2, (q31_t)0x08A2009A,
+ (q31_t)0x7FB1F5FC, (q31_t)0x08D42698, (q31_t)0x7FAE7494,
+ (q31_t)0x09064B3A, (q31_t)0x7FAADF7C, (q31_t)0x09386E77,
+ (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7FA37A3C,
+ (q31_t)0x099CB0A7, (q31_t)0x7F9FAA15, (q31_t)0x09CECF89,
+ (q31_t)0x7F9BC63F, (q31_t)0x0A00ECE8, (q31_t)0x7F97CEBC,
+ (q31_t)0x0A3308BC, (q31_t)0x7F93C38C, (q31_t)0x0A6522FE,
+ (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F8B7226,
+ (q31_t)0x0AC952AA, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805,
+ (q31_t)0x7F82D214, (q31_t)0x0B2D7BAE, (q31_t)0x7F7E648B,
+ (q31_t)0x0B5F8D9F, (q31_t)0x7F79E35A, (q31_t)0x0B919DCE,
+ (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F70A5FD,
+ (q31_t)0x0BF5B8CB, (q31_t)0x7F6BE9D4, (q31_t)0x0C27C389,
+ (q31_t)0x7F671A04, (q31_t)0x0C59CC67, (q31_t)0x7F62368F,
+ (q31_t)0x0C8BD35E, (q31_t)0x7F5D3F75, (q31_t)0x0CBDD865,
+ (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F531654,
+ (q31_t)0x0D21DC87, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92,
+ (q31_t)0x7F489EAA, (q31_t)0x0D85D88F, (q31_t)0x7F434563,
+ (q31_t)0x0DB7D376, (q31_t)0x7F3DD87C, (q31_t)0x0DE9CC3F,
+ (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F32C3D0,
+ (q31_t)0x0E4DB75B, (q31_t)0x7F2D1C0E, (q31_t)0x0E7FA99D,
+ (q31_t)0x7F2760AF, (q31_t)0x0EB199A3, (q31_t)0x7F2191B4,
+ (q31_t)0x0EE38765, (q31_t)0x7F1BAF1E, (q31_t)0x0F1572DC,
+ (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0FAF24,
+ (q31_t)0x0F7942C6, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+ (q31_t)0x7F0360CB, (q31_t)0x0FDD0925, (q31_t)0x7EFD1C3C,
+ (q31_t)0x100EE8AD, (q31_t)0x7EF6C418, (q31_t)0x1040C5BB,
+ (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE9D913,
+ (q31_t)0x10A4784A, (q31_t)0x7EE34635, (q31_t)0x10D64DBC,
+ (q31_t)0x7EDC9FC6, (q31_t)0x11082096, (q31_t)0x7ED5E5C6,
+ (q31_t)0x1139F0CE, (q31_t)0x7ECF1837, (q31_t)0x116BBE5F,
+ (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EC1426F,
+ (q31_t)0x11CF516A, (q31_t)0x7EBA3A39, (q31_t)0x120116D4,
+ (q31_t)0x7EB31E77, (q31_t)0x1232D978, (q31_t)0x7EABEF2C,
+ (q31_t)0x1264994E, (q31_t)0x7EA4AC58, (q31_t)0x1296564D,
+ (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E95EC19,
+ (q31_t)0x12F9C7AA, (q31_t)0x7E8E6EB1, (q31_t)0x132B7BF9,
+ (q31_t)0x7E86DDC5, (q31_t)0x135D2D53, (q31_t)0x7E7F3956,
+ (q31_t)0x138EDBB0, (q31_t)0x7E778165, (q31_t)0x13C0870A,
+ (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E67D702,
+ (q31_t)0x1423D492, (q31_t)0x7E5FE493, (q31_t)0x145576B1,
+ (q31_t)0x7E57DEA6, (q31_t)0x148715AD, (q31_t)0x7E4FC53E,
+ (q31_t)0x14B8B17F, (q31_t)0x7E47985B, (q31_t)0x14EA4A1F,
+ (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E37042A,
+ (q31_t)0x154D71AA, (q31_t)0x7E2E9CDF, (q31_t)0x157F0086,
+ (q31_t)0x7E26221E, (q31_t)0x15B08C11, (q31_t)0x7E1D93E9,
+ (q31_t)0x15E21444, (q31_t)0x7E14F242, (q31_t)0x16139917,
+ (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7E03749F,
+ (q31_t)0x1676987F, (q31_t)0x7DFA98A7, (q31_t)0x16A81305,
+ (q31_t)0x7DF1A942, (q31_t)0x16D98A0C, (q31_t)0x7DE8A670,
+ (q31_t)0x170AFD8D, (q31_t)0x7DDF9034, (q31_t)0x173C6D80,
+ (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DCD2981,
+ (q31_t)0x179F429F, (q31_t)0x7DC3D90D, (q31_t)0x17D0A7BB,
+ (q31_t)0x7DBA7534, (q31_t)0x1802092C, (q31_t)0x7DB0FDF7,
+ (q31_t)0x183366E8, (q31_t)0x7DA77359, (q31_t)0x1864C0E9,
+ (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D9423FB,
+ (q31_t)0x18C7699B, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+ (q31_t)0x7D808727, (q31_t)0x192A0303, (q31_t)0x7D769BB5,
+ (q31_t)0x195B49E9, (q31_t)0x7D6C9CE9, (q31_t)0x198C8CE6,
+ (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D58654C,
+ (q31_t)0x19EF0706, (q31_t)0x7D4E2C7E, (q31_t)0x1A203E1B,
+ (q31_t)0x7D43E05E, (q31_t)0x1A517127, (q31_t)0x7D3980EC,
+ (q31_t)0x1A82A025, (q31_t)0x7D2F0E2A, (q31_t)0x1AB3CB0C,
+ (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D19EEBE,
+ (q31_t)0x1B161479, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF,
+ (q31_t)0x7D048228, (q31_t)0x1B784D30, (q31_t)0x7CF9AEF0,
+ (q31_t)0x1BA96334, (q31_t)0x7CEEC873, (q31_t)0x1BDA74F5,
+ (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CD8C1AD,
+ (q31_t)0x1C3C8B8C, (q31_t)0x7CCDA168, (q31_t)0x1C6D9053,
+ (q31_t)0x7CC26DE5, (q31_t)0x1C9E90B8, (q31_t)0x7CB72724,
+ (q31_t)0x1CCF8CB3, (q31_t)0x7CABCD27, (q31_t)0x1D00843C,
+ (q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C94DF82,
+ (q31_t)0x1D6265DD, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5,
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+ (q31_t)0x7F671A04, (q31_t)0x0C27C389, (q31_t)0x7F6BE9D4,
+ (q31_t)0x0BF5B8CB, (q31_t)0x7F70A5FD, (q31_t)0x0BC3AC35,
+ (q31_t)0x7F754E7F, (q31_t)0x0B919DCE, (q31_t)0x7F79E35A,
+ (q31_t)0x0B5F8D9F, (q31_t)0x7F7E648B, (q31_t)0x0B2D7BAE,
+ (q31_t)0x7F82D214, (q31_t)0x0AFB6805, (q31_t)0x7F872BF3,
+ (q31_t)0x0AC952AA, (q31_t)0x7F8B7226, (q31_t)0x0A973BA5,
+ (q31_t)0x7F8FA4AF, (q31_t)0x0A6522FE, (q31_t)0x7F93C38C,
+ (q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x0A00ECE8,
+ (q31_t)0x7F9BC63F, (q31_t)0x09CECF89, (q31_t)0x7F9FAA15,
+ (q31_t)0x099CB0A7, (q31_t)0x7FA37A3C, (q31_t)0x096A9049,
+ (q31_t)0x7FA736B4, (q31_t)0x09386E77, (q31_t)0x7FAADF7C,
+ (q31_t)0x09064B3A, (q31_t)0x7FAE7494, (q31_t)0x08D42698,
+ (q31_t)0x7FB1F5FC, (q31_t)0x08A2009A, (q31_t)0x7FB563B2,
+ (q31_t)0x086FD947, (q31_t)0x7FB8BDB7, (q31_t)0x083DB0A7,
+ (q31_t)0x7FBC040A, (q31_t)0x080B86C1, (q31_t)0x7FBF36A9,
+ (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x07A72F45,
+ (q31_t)0x7FC560CF, (q31_t)0x077501BE, (q31_t)0x7FC85853,
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+ (q31_t)0x7FCE0C3E, (q31_t)0x06DE7261, (q31_t)0x7FD0C8A3,
+ (q31_t)0x06AC406F, (q31_t)0x7FD37152, (q31_t)0x067A0D75,
+ (q31_t)0x7FD6064B, (q31_t)0x0647D97C, (q31_t)0x7FD8878D,
+ (q31_t)0x0615A48A, (q31_t)0x7FDAF518, (q31_t)0x05E36EA9,
+ (q31_t)0x7FDD4EEC, (q31_t)0x05B137DF, (q31_t)0x7FDF9508,
+ (q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x054CC7B0,
+ (q31_t)0x7FE3E616, (q31_t)0x051A8E5C, (q31_t)0x7FE5F108,
+ (q31_t)0x04E8543D, (q31_t)0x7FE7E840, (q31_t)0x04B6195D,
+ (q31_t)0x7FE9CBC0, (q31_t)0x0483DDC3, (q31_t)0x7FEB9B85,
+ (q31_t)0x0451A176, (q31_t)0x7FED5790, (q31_t)0x041F647F,
+ (q31_t)0x7FEEFFE1, (q31_t)0x03ED26E6, (q31_t)0x7FF09477,
+ (q31_t)0x03BAE8B1, (q31_t)0x7FF21553, (q31_t)0x0388A9E9,
+ (q31_t)0x7FF38273, (q31_t)0x03566A96, (q31_t)0x7FF4DBD8,
+ (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x02F1EA6B,
+ (q31_t)0x7FF7536F, (q31_t)0x02BFA9A4, (q31_t)0x7FF871A1,
+ (q31_t)0x028D6870, (q31_t)0x7FF97C17, (q31_t)0x025B26D7,
+ (q31_t)0x7FFA72D1, (q31_t)0x0228E4E1, (q31_t)0x7FFB55CE,
+ (q31_t)0x01F6A296, (q31_t)0x7FFC250F, (q31_t)0x01C45FFE,
+ (q31_t)0x7FFCE093, (q31_t)0x01921D1F, (q31_t)0x7FFD885A,
+ (q31_t)0x015FDA03, (q31_t)0x7FFE1C64, (q31_t)0x012D96B0,
+ (q31_t)0x7FFE9CB2, (q31_t)0x00FB532F, (q31_t)0x7FFF0942,
+ (q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x0096CBC1,
+ (q31_t)0x7FFFA72C, (q31_t)0x006487E3, (q31_t)0x7FFFD885,
+ (q31_t)0x003243F5, (q31_t)0x7FFFF621, (q31_t)0x00000000,
+ (q31_t)0x7FFFFFFF, (q31_t)0xFFCDBC0A, (q31_t)0x7FFFF621,
+ (q31_t)0xFF9B781D, (q31_t)0x7FFFD885, (q31_t)0xFF69343E,
+ (q31_t)0x7FFFA72C, (q31_t)0xFF36F078, (q31_t)0x7FFF6216,
+ (q31_t)0xFF04ACD0, (q31_t)0x7FFF0942, (q31_t)0xFED2694F,
+ (q31_t)0x7FFE9CB2, (q31_t)0xFEA025FC, (q31_t)0x7FFE1C64,
+ (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFE3BA001,
+ (q31_t)0x7FFCE093, (q31_t)0xFE095D69, (q31_t)0x7FFC250F,
+ (q31_t)0xFDD71B1E, (q31_t)0x7FFB55CE, (q31_t)0xFDA4D928,
+ (q31_t)0x7FFA72D1, (q31_t)0xFD72978F, (q31_t)0x7FF97C17,
+ (q31_t)0xFD40565B, (q31_t)0x7FF871A1, (q31_t)0xFD0E1594,
+ (q31_t)0x7FF7536F, (q31_t)0xFCDBD541, (q31_t)0x7FF62182,
+ (q31_t)0xFCA99569, (q31_t)0x7FF4DBD8, (q31_t)0xFC775616,
+ (q31_t)0x7FF38273, (q31_t)0xFC45174E, (q31_t)0x7FF21553,
+ (q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFBE09B80,
+ (q31_t)0x7FEEFFE1, (q31_t)0xFBAE5E89, (q31_t)0x7FED5790,
+ (q31_t)0xFB7C223C, (q31_t)0x7FEB9B85, (q31_t)0xFB49E6A2,
+ (q31_t)0x7FE9CBC0, (q31_t)0xFB17ABC2, (q31_t)0x7FE7E840,
+ (q31_t)0xFAE571A4, (q31_t)0x7FE5F108, (q31_t)0xFAB3384F,
+ (q31_t)0x7FE3E616, (q31_t)0xFA80FFCB, (q31_t)0x7FE1C76B,
+ (q31_t)0xFA4EC820, (q31_t)0x7FDF9508, (q31_t)0xFA1C9156,
+ (q31_t)0x7FDD4EEC, (q31_t)0xF9EA5B75, (q31_t)0x7FDAF518,
+ (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF985F28A,
+ (q31_t)0x7FD6064B, (q31_t)0xF953BF90, (q31_t)0x7FD37152,
+ (q31_t)0xF9218D9E, (q31_t)0x7FD0C8A3, (q31_t)0xF8EF5CBB,
+ (q31_t)0x7FCE0C3E, (q31_t)0xF8BD2CEF, (q31_t)0x7FCB3C23,
+ (q31_t)0xF88AFE41, (q31_t)0x7FC85853, (q31_t)0xF858D0BA,
+ (q31_t)0x7FC560CF, (q31_t)0xF826A461, (q31_t)0x7FC25596,
+ (q31_t)0xF7F4793E, (q31_t)0x7FBF36A9, (q31_t)0xF7C24F58,
+ (q31_t)0x7FBC040A, (q31_t)0xF79026B8, (q31_t)0x7FB8BDB7,
+ (q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF72BD967,
+ (q31_t)0x7FB1F5FC, (q31_t)0xF6F9B4C5, (q31_t)0x7FAE7494,
+ (q31_t)0xF6C79188, (q31_t)0x7FAADF7C, (q31_t)0xF6956FB6,
+ (q31_t)0x7FA736B4, (q31_t)0xF6634F58, (q31_t)0x7FA37A3C,
+ (q31_t)0xF6313076, (q31_t)0x7F9FAA15, (q31_t)0xF5FF1317,
+ (q31_t)0x7F9BC63F, (q31_t)0xF5CCF743, (q31_t)0x7F97CEBC,
+ (q31_t)0xF59ADD01, (q31_t)0x7F93C38C, (q31_t)0xF568C45A,
+ (q31_t)0x7F8FA4AF, (q31_t)0xF536AD55, (q31_t)0x7F8B7226,
+ (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF4D28451,
+ (q31_t)0x7F82D214, (q31_t)0xF4A07260, (q31_t)0x7F7E648B,
+ (q31_t)0xF46E6231, (q31_t)0x7F79E35A, (q31_t)0xF43C53CA,
+ (q31_t)0x7F754E7F, (q31_t)0xF40A4734, (q31_t)0x7F70A5FD,
+ (q31_t)0xF3D83C76, (q31_t)0x7F6BE9D4, (q31_t)0xF3A63398,
+ (q31_t)0x7F671A04, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+ (q31_t)0xF342279A, (q31_t)0x7F5D3F75, (q31_t)0xF310248A,
+ (q31_t)0x7F5834B6, (q31_t)0xF2DE2378, (q31_t)0x7F531654,
+ (q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF27A2770,
+ (q31_t)0x7F489EAA, (q31_t)0xF2482C89, (q31_t)0x7F434563,
+ (q31_t)0xF21633C0, (q31_t)0x7F3DD87C, (q31_t)0xF1E43D1C,
+ (q31_t)0x7F3857F5, (q31_t)0xF1B248A5, (q31_t)0x7F32C3D0,
+ (q31_t)0xF1805662, (q31_t)0x7F2D1C0E, (q31_t)0xF14E665C,
+ (q31_t)0x7F2760AF, (q31_t)0xF11C789A, (q31_t)0x7F2191B4,
+ (q31_t)0xF0EA8D23, (q31_t)0x7F1BAF1E, (q31_t)0xF0B8A401,
+ (q31_t)0x7F15B8EE, (q31_t)0xF086BD39, (q31_t)0x7F0FAF24,
+ (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xF022F6DA,
+ (q31_t)0x7F0360CB, (q31_t)0xEFF11752, (q31_t)0x7EFD1C3C,
+ (q31_t)0xEFBF3A44, (q31_t)0x7EF6C418, (q31_t)0xEF8D5FB8,
+ (q31_t)0x7EF0585F, (q31_t)0xEF5B87B5, (q31_t)0x7EE9D913,
+ (q31_t)0xEF29B243, (q31_t)0x7EE34635, (q31_t)0xEEF7DF6A,
+ (q31_t)0x7EDC9FC6, (q31_t)0xEEC60F31, (q31_t)0x7ED5E5C6,
+ (q31_t)0xEE9441A0, (q31_t)0x7ECF1837, (q31_t)0xEE6276BF,
+ (q31_t)0x7EC8371A, (q31_t)0xEE30AE95, (q31_t)0x7EC1426F,
+ (q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xEDCD2687,
+ (q31_t)0x7EB31E77, (q31_t)0xED9B66B2, (q31_t)0x7EABEF2C,
+ (q31_t)0xED69A9B2, (q31_t)0x7EA4AC58, (q31_t)0xED37EF91,
+ (q31_t)0x7E9D55FC, (q31_t)0xED063855, (q31_t)0x7E95EC19,
+ (q31_t)0xECD48406, (q31_t)0x7E8E6EB1, (q31_t)0xECA2D2AC,
+ (q31_t)0x7E86DDC5, (q31_t)0xEC71244F, (q31_t)0x7E7F3956,
+ (q31_t)0xEC3F78F5, (q31_t)0x7E778165, (q31_t)0xEC0DD0A8,
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+ (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEB78EA52,
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+ (q31_t)0xEB15B5E0, (q31_t)0x7E47985B, (q31_t)0xEAE4207A,
+ (q31_t)0x7E3F57FE, (q31_t)0xEAB28E55, (q31_t)0x7E37042A,
+ (q31_t)0xEA80FF79, (q31_t)0x7E2E9CDF, (q31_t)0xEA4F73EE,
+ (q31_t)0x7E26221E, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9,
+ (q31_t)0xE9EC66E8, (q31_t)0x7E14F242, (q31_t)0xE9BAE57C,
+ (q31_t)0x7E0C3D29, (q31_t)0xE9896780, (q31_t)0x7E03749F,
+ (q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE92675F4,
+ (q31_t)0x7DF1A942, (q31_t)0xE8F50273, (q31_t)0x7DE8A670,
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+ (q31_t)0x7DBA7534, (q31_t)0xE7CC9917, (q31_t)0x7DB0FDF7,
+ (q31_t)0xE79B3F16, (q31_t)0x7DA77359, (q31_t)0xE769E8D8,
+ (q31_t)0x7D9DD55A, (q31_t)0xE7389664, (q31_t)0x7D9423FB,
+ (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE6D5FCFC,
+ (q31_t)0x7D808727, (q31_t)0xE6A4B616, (q31_t)0x7D769BB5,
+ (q31_t)0xE6737319, (q31_t)0x7D6C9CE9, (q31_t)0xE642340D,
+ (q31_t)0x7D628AC5, (q31_t)0xE610F8F9, (q31_t)0x7D58654C,
+ (q31_t)0xE5DFC1E4, (q31_t)0x7D4E2C7E, (q31_t)0xE5AE8ED8,
+ (q31_t)0x7D43E05E, (q31_t)0xE57D5FDA, (q31_t)0x7D3980EC,
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+ (q31_t)0x7D24881A, (q31_t)0xE4E9EB86, (q31_t)0x7D19EEBE,
+ (q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE487B2CF,
+ (q31_t)0x7D048228, (q31_t)0xE4569CCB, (q31_t)0x7CF9AEF0,
+ (q31_t)0xE4258B0A, (q31_t)0x7CEEC873, (q31_t)0xE3F47D95,
+ (q31_t)0x7CE3CEB1, (q31_t)0xE3C37473, (q31_t)0x7CD8C1AD,
+ (q31_t)0xE3926FAC, (q31_t)0x7CCDA168, (q31_t)0xE3616F47,
+ (q31_t)0x7CC26DE5, (q31_t)0xE330734C, (q31_t)0x7CB72724,
+ (q31_t)0xE2FF7BC3, (q31_t)0x7CABCD27, (q31_t)0xE2CE88B2,
+ (q31_t)0x7CA05FF1, (q31_t)0xE29D9A22, (q31_t)0x7C94DF82,
+ (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE23BCAA2,
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+ (q31_t)0xE1DA0D7E, (q31_t)0x7C661DBB, (q31_t)0xE1A935E1,
+ (q31_t)0x7C5A3D4F, (q31_t)0xE17862F3, (q31_t)0x7C4E49B6,
+ (q31_t)0xE14794B9, (q31_t)0x7C4242F2, (q31_t)0xE116CB3D,
+ (q31_t)0x7C362904, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE,
+ (q31_t)0xE0B54698, (q31_t)0x7C1DBBB2, (q31_t)0xE0848B7F,
+ (q31_t)0x7C116853, (q31_t)0xE053D541, (q31_t)0x7C0501D1,
+ (q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDFF27773,
+ (q31_t)0x7BEBFB70, (q31_t)0xDFC1CFF2, (q31_t)0x7BDF5B94,
+ (q31_t)0xDF912D6A, (q31_t)0x7BD2A89E, (q31_t)0xDF608FE3,
+ (q31_t)0x7BC5E28F, (q31_t)0xDF2FF764, (q31_t)0x7BB9096A,
+ (q31_t)0xDEFF63F4, (q31_t)0x7BAC1D31, (q31_t)0xDECED59B,
+ (q31_t)0x7B9F1DE5, (q31_t)0xDE9E4C60, (q31_t)0x7B920B89,
+ (q31_t)0xDE6DC84B, (q31_t)0x7B84E61E, (q31_t)0xDE3D4963,
+ (q31_t)0x7B77ADA8, (q31_t)0xDE0CCFB1, (q31_t)0x7B6A6227,
+ (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDDABEC07,
+ (q31_t)0x7B4F920E, (q31_t)0xDD7B8220, (q31_t)0x7B420D7A,
+ (q31_t)0xDD4B1D8B, (q31_t)0x7B3475E4, (q31_t)0xDD1ABE51,
+ (q31_t)0x7B26CB4F, (q31_t)0xDCEA6478, (q31_t)0x7B190DBB,
+ (q31_t)0xDCBA1008, (q31_t)0x7B0B3D2C, (q31_t)0xDC89C108,
+ (q31_t)0x7AFD59A3, (q31_t)0xDC597781, (q31_t)0x7AEF6323,
+ (q31_t)0xDC293379, (q31_t)0x7AE159AE, (q31_t)0xDBF8F4F8,
+ (q31_t)0x7AD33D45, (q31_t)0xDBC8BC05, (q31_t)0x7AC50DEB,
+ (q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDB685AE8,
+ (q31_t)0x7AA8766E, (q31_t)0xDB3832CD, (q31_t)0x7A9A0E4F,
+ (q31_t)0xDB08105E, (q31_t)0x7A8B9348, (q31_t)0xDAD7F3A2,
+ (q31_t)0x7A7D055B, (q31_t)0xDAA7DCA1, (q31_t)0x7A6E648A,
+ (q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA47BFED,
+ (q31_t)0x7A50EA46, (q31_t)0xDA17BA4A, (q31_t)0x7A4210D8,
+ (q31_t)0xD9E7BA7E, (q31_t)0x7A33248F, (q31_t)0xD9B7C093,
+ (q31_t)0x7A24256E, (q31_t)0xD987CC8F, (q31_t)0x7A151377,
+ (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD927F65B,
+ (q31_t)0x79F6B711, (q31_t)0xD8F81439, (q31_t)0x79E76CA6,
+ (q31_t)0xD8C8381C, (q31_t)0x79D80F6F, (q31_t)0xD898620C,
+ (q31_t)0x79C89F6D, (q31_t)0xD868920F, (q31_t)0x79B91CA4,
+ (q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD809046D,
+ (q31_t)0x7999DEC3, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+ (q31_t)0xD7A98F73, (q31_t)0x797A55E0, (q31_t)0xD779DE46,
+ (q31_t)0x796A7554, (q31_t)0xD74A335A, (q31_t)0x795A820E,
+ (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6EAF05E,
+ (q31_t)0x793A6360, (q31_t)0xD6BB585D, (q31_t)0x792A37FE,
+ (q31_t)0xD68BC6BA, (q31_t)0x7919F9EB, (q31_t)0xD65C3B7B,
+ (q31_t)0x7909A92C, (q31_t)0xD62CB6A7, (q31_t)0x78F945C3,
+ (q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD5CDC062,
+ (q31_t)0x78D846FB, (q31_t)0xD59E4EFE, (q31_t)0x78C7ABA1,
+ (q31_t)0xD56EE424, (q31_t)0x78B6FDA8, (q31_t)0xD53F7FDA,
+ (q31_t)0x78A63D10, (q31_t)0xD5102227, (q31_t)0x789569DE,
+ (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD4B17AA7,
+ (q31_t)0x78738BB3, (q31_t)0xD48230E8, (q31_t)0x786280BF,
+ (q31_t)0xD452EDDE, (q31_t)0x7851633B, (q31_t)0xD423B190,
+ (q31_t)0x78403328, (q31_t)0xD3F47C06, (q31_t)0x782EF08B,
+ (q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3962559,
+ (q31_t)0x780C33B8, (q31_t)0xD3670445, (q31_t)0x77FAB988,
+ (q31_t)0xD337EA12, (q31_t)0x77E92CD8, (q31_t)0xD308D6C6,
+ (q31_t)0x77D78DAA, (q31_t)0xD2D9CA6A, (q31_t)0x77C5DC01,
+ (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD27BC69C,
+ (q31_t)0x77A24148, (q31_t)0xD24CCF38, (q31_t)0x7790583D,
+ (q31_t)0xD21DDEE1, (q31_t)0x777E5CC3, (q31_t)0xD1EEF59E,
+ (q31_t)0x776C4EDB, (q31_t)0xD1C01374, (q31_t)0x775A2E88,
+ (q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD162648F,
+ (q31_t)0x7735B6AE, (q31_t)0xD13397E1, (q31_t)0x77235F2D,
+ (q31_t)0xD104D26B, (q31_t)0x7710F54B, (q31_t)0xD0D61433,
+ (q31_t)0x76FE790E, (q31_t)0xD0A75D42, (q31_t)0x76EBEA77,
+ (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD04A054D,
+ (q31_t)0x76C69646, (q31_t)0xD01B6459, (q31_t)0x76B3D0B3,
+ (q31_t)0xCFECCAC7, (q31_t)0x76A0F8D2, (q31_t)0xCFBE389F,
+ (q31_t)0x768E0EA5, (q31_t)0xCF8FADE8, (q31_t)0x767B1230,
+ (q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF32AEEB,
+ (q31_t)0x7654E279, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+ (q31_t)0xCED5CE08, (q31_t)0x762E69C3, (q31_t)0xCEA768F2,
+ (q31_t)0x761B1211, (q31_t)0xCE790B78, (q31_t)0x7607A827,
+ (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCE1C6776,
+ (q31_t)0x75E09DBD, (q31_t)0xCDEE20FC, (q31_t)0x75CCFD42,
+ (q31_t)0xCDBFE23A, (q31_t)0x75B94A9C, (q31_t)0xCD91AB38,
+ (q31_t)0x75A585CF, (q31_t)0xCD637BFD, (q31_t)0x7591AEDD,
+ (q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCD0734F8,
+ (q31_t)0x7569CA98, (q31_t)0xCCD91D3D, (q31_t)0x7555BD4B,
+ (q31_t)0xCCAB0D65, (q31_t)0x75419DE6, (q31_t)0xCC7D0577,
+ (q31_t)0x752D6C6C, (q31_t)0xCC4F057B, (q31_t)0x751928E0,
+ (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBF31D75,
+ (q31_t)0x74F06B9E, (q31_t)0xCBC53578, (q31_t)0x74DBF1EF,
+ (q31_t)0xCB975589, (q31_t)0x74C7663A, (q31_t)0xCB697DB0,
+ (q31_t)0x74B2C883, (q31_t)0xCB3BADF2, (q31_t)0x749E18CD,
+ (q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAE026E8,
+ (q31_t)0x74748371, (q31_t)0xCAB26FA9, (q31_t)0x745F9DD1,
+ (q31_t)0xCA84C0A2, (q31_t)0x744AA63E, (q31_t)0xCA5719DB,
+ (q31_t)0x74359CBD, (q31_t)0xCA297B5A, (q31_t)0x74208150,
+ (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9CE5748,
+ (q31_t)0x73F614C0, (q31_t)0xC9A0D1C4, (q31_t)0x73E0C3A3,
+ (q31_t)0xC97354A3, (q31_t)0x73CB60A7, (q31_t)0xC945DFEC,
+ (q31_t)0x73B5EBD0, (q31_t)0xC91873A5, (q31_t)0x73A06522,
+ (q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC8BDB485,
+ (q31_t)0x73752249, (q31_t)0xC89061BA, (q31_t)0x735F6626,
+ (q31_t)0xC863177B, (q31_t)0x73499838, (q31_t)0xC835D5D0,
+ (q31_t)0x7333B883, (q31_t)0xC8089CBF, (q31_t)0x731DC709,
+ (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7AE4489,
+ (q31_t)0x72F1AED8, (q31_t)0xC7812571, (q31_t)0x72DB8828,
+ (q31_t)0xC7540F10, (q31_t)0x72C54FC0, (q31_t)0xC727016C,
+ (q31_t)0x72AF05A6, (q31_t)0xC6F9FC8D, (q31_t)0x7298A9DC,
+ (q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC6A00D36,
+ (q31_t)0x726BBD48, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+ (q31_t)0xC6464144, (q31_t)0x723E8A1F, (q31_t)0xC61968A2,
+ (q31_t)0x7227D61C, (q31_t)0xC5EC98ED, (q31_t)0x7211107D,
+ (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC593146A,
+ (q31_t)0x71E3507F, (q31_t)0xC5665FA8, (q31_t)0x71CC5626,
+ (q31_t)0xC539B3F0, (q31_t)0x71B54A40, (q31_t)0xC50D1148,
+ (q31_t)0x719E2CD2, (q31_t)0xC4E077B8, (q31_t)0x7186FDDE,
+ (q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC4875FF8,
+ (q31_t)0x71586B73, (q31_t)0xC45AE1D7, (q31_t)0x71410804,
+ (q31_t)0xC42E6CE8, (q31_t)0x7129931E, (q31_t)0xC4020132,
+ (q31_t)0x71120CC5, (q31_t)0xC3D59EBD, (q31_t)0x70FA74FB,
+ (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC37CF5B0,
+ (q31_t)0x70CB1127, (q31_t)0xC350AF25, (q31_t)0x70B34524,
+ (q31_t)0xC32471F6, (q31_t)0x709B67C0, (q31_t)0xC2F83E2A,
+ (q31_t)0x708378FE, (q31_t)0xC2CC13C7, (q31_t)0x706B78E3,
+ (q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC273DB58,
+ (q31_t)0x703B44AC, (q31_t)0xC247CD5A, (q31_t)0x70231099,
+ (q31_t)0xC21BC8E0, (q31_t)0x700ACB3B, (q31_t)0xC1EFCDF2,
+ (q31_t)0x6FF27496, (q31_t)0xC1C3DC96, (q31_t)0x6FDA0CAD,
+ (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC16C16B0,
+ (q31_t)0x6FA90920, (q31_t)0xC1404233, (q31_t)0x6F906D84,
+ (q31_t)0xC1147763, (q31_t)0x6F77C0B3, (q31_t)0xC0E8B648,
+ (q31_t)0x6F5F02B1, (q31_t)0xC0BCFEE7, (q31_t)0x6F463383,
+ (q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC065AD70,
+ (q31_t)0x6F1461AF, (q31_t)0xC03A1368, (q31_t)0x6EFB5F12,
+ (q31_t)0xC00E8335, (q31_t)0x6EE24B57, (q31_t)0xBFE2FCDF,
+ (q31_t)0x6EC92682, (q31_t)0xBFB7806C, (q31_t)0x6EAFF098,
+ (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF60A54A,
+ (q31_t)0x6E7D5193, (q31_t)0xBF3546A8, (q31_t)0x6E63E87F,
+ (q31_t)0xBF09F204, (q31_t)0x6E4A6E65, (q31_t)0xBEDEA765,
+ (q31_t)0x6E30E349, (q31_t)0xBEB366D1, (q31_t)0x6E17472F,
+ (q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE5D03E5,
+ (q31_t)0x6DE3DC11, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+ (q31_t)0xBE06C977, (q31_t)0x6DB02D29, (q31_t)0xBDDBBB7F,
+ (q31_t)0x6D963C54, (q31_t)0xBDB0B7BA, (q31_t)0x6D7C3A98,
+ (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD5ACEE5,
+ (q31_t)0x6D48047E, (q31_t)0xBD2FE9E1, (q31_t)0x6D2DD027,
+ (q31_t)0xBD050F2C, (q31_t)0x6D138AFA, (q31_t)0xBCDA3ECA,
+ (q31_t)0x6CF934FB, (q31_t)0xBCAF78C3, (q31_t)0x6CDECE2E,
+ (q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC5A0BE1,
+ (q31_t)0x6CA9CE3A, (q31_t)0xBC2F6513, (q31_t)0x6C8F351C,
+ (q31_t)0xBC04C8BA, (q31_t)0x6C748B3F, (q31_t)0xBBDA36DC,
+ (q31_t)0x6C59D0A9, (q31_t)0xBBAFAF81, (q31_t)0x6C3F055D,
+ (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB5AC06C,
+ (q31_t)0x6C093CB6, (q31_t)0xBB3058C0, (q31_t)0x6BEE3F62,
+ (q31_t)0xBB05FBB0, (q31_t)0x6BD3316A, (q31_t)0xBADBA943,
+ (q31_t)0x6BB812D0, (q31_t)0xBAB1617F, (q31_t)0x6B9CE39B,
+ (q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA5CF210,
+ (q31_t)0x6B66536A, (q31_t)0xBA32CA70, (q31_t)0x6B4AF278,
+ (q31_t)0xBA08AD94, (q31_t)0x6B2F80FA, (q31_t)0xB9DE9B83,
+ (q31_t)0x6B13FEF5, (q31_t)0xB9B49442, (q31_t)0x6AF86C6C,
+ (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB960A64B,
+ (q31_t)0x6AC115E1, (q31_t)0xB936BFA3, (q31_t)0x6AA551E8,
+ (q31_t)0xB90CE3E6, (q31_t)0x6A897D7D, (q31_t)0xB8E31319,
+ (q31_t)0x6A6D98A4, (q31_t)0xB8B94D44, (q31_t)0x6A51A361,
+ (q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB865E299,
+ (q31_t)0x6A1987B0, (q31_t)0xB83C3DD1, (q31_t)0x69FD614A,
+ (q31_t)0xB812A419, (q31_t)0x69E12A8C, (q31_t)0xB7E9157A,
+ (q31_t)0x69C4E37A, (q31_t)0xB7BF91F8, (q31_t)0x69A88C18,
+ (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB76CAC68,
+ (q31_t)0x696FAC78, (q31_t)0xB7434A67, (q31_t)0x69532442,
+ (q31_t)0xB719F39D, (q31_t)0x69368BCE, (q31_t)0xB6F0A811,
+ (q31_t)0x6919E320, (q31_t)0xB6C767CA, (q31_t)0x68FD2A3D,
+ (q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB6750921,
+ (q31_t)0x68C387E9, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+ (q31_t)0xB622D7D5, (q31_t)0x6889A4F5, (q31_t)0xB5F9D042,
+ (q31_t)0x686C9B4B, (q31_t)0xB5D0D41A, (q31_t)0x684F8186,
+ (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB57EFE21,
+ (q31_t)0x68151DBE, (q31_t)0xB556245E, (q31_t)0x67F7D3C4,
+ (q31_t)0xB52D561E, (q31_t)0x67DA79C2, (q31_t)0xB5049368,
+ (q31_t)0x67BD0FBC, (q31_t)0xB4DBDC42, (q31_t)0x679F95B7,
+ (q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB48A90C0,
+ (q31_t)0x676471C0, (q31_t)0xB461FC70, (q31_t)0x6746C7D7,
+ (q31_t)0xB43973C9, (q31_t)0x67290E02, (q31_t)0xB410F6D2,
+ (q31_t)0x670B4443, (q31_t)0xB3E88591, (q31_t)0x66ED6AA1,
+ (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB397C649,
+ (q31_t)0x66B187C3, (q31_t)0xB36F784E, (q31_t)0x66937E90,
+ (q31_t)0xB3473622, (q31_t)0x6675658C, (q31_t)0xB31EFFCB,
+ (q31_t)0x66573CBB, (q31_t)0xB2F6D54F, (q31_t)0x66390422,
+ (q31_t)0xB2CEB6B5, (q31_t)0x661ABBC5, (q31_t)0xB2A6A401,
+ (q31_t)0x65FC63A9, (q31_t)0xB27E9D3B, (q31_t)0x65DDFBD3,
+ (q31_t)0xB256A26A, (q31_t)0x65BF8447, (q31_t)0xB22EB392,
+ (q31_t)0x65A0FD0B, (q31_t)0xB206D0BA, (q31_t)0x65826622,
+ (q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB1B72F23,
+ (q31_t)0x6545095F, (q31_t)0xB18F7070, (q31_t)0x6526438E,
+ (q31_t)0xB167BDD6, (q31_t)0x65076E24, (q31_t)0xB140175B,
+ (q31_t)0x64E88926, (q31_t)0xB1187D05, (q31_t)0x64C99498,
+ (q31_t)0xB0F0EEDA, (q31_t)0x64AA907F, (q31_t)0xB0C96CDF,
+ (q31_t)0x648B7CDF, (q31_t)0xB0A1F71C, (q31_t)0x646C59BF,
+ (q31_t)0xB07A8D97, (q31_t)0x644D2722, (q31_t)0xB0533055,
+ (q31_t)0x642DE50D, (q31_t)0xB02BDF5C, (q31_t)0x640E9385,
+ (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAFDD625F,
+ (q31_t)0x63CFC230, (q31_t)0xAFB63667, (q31_t)0x63B0426D,
+ (q31_t)0xAF8F16D0, (q31_t)0x6390B34A, (q31_t)0xAF6803A1,
+ (q31_t)0x637114CC, (q31_t)0xAF40FCE0, (q31_t)0x635166F8,
+ (q31_t)0xAF1A0293, (q31_t)0x6331A9D4, (q31_t)0xAEF314BF,
+ (q31_t)0x6311DD63, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+ (q31_t)0xAEA55E9D, (q31_t)0x62D216B2, (q31_t)0xAE7E965B,
+ (q31_t)0x62B21C7B, (q31_t)0xAE57DAAA, (q31_t)0x6292130C,
+ (q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xAE0A8916,
+ (q31_t)0x6251D297, (q31_t)0xADE3F33E, (q31_t)0x62319B9D,
+ (q31_t)0xADBD6A10, (q31_t)0x6211557D, (q31_t)0xAD96ED91,
+ (q31_t)0x61F1003E, (q31_t)0xAD707DC8, (q31_t)0x61D09BE5,
+ (q31_t)0xAD4A1ABA, (q31_t)0x61B02876, (q31_t)0xAD23C46D,
+ (q31_t)0x618FA5F6, (q31_t)0xACFD7AE8, (q31_t)0x616F146B,
+ (q31_t)0xACD73E30, (q31_t)0x614E73D9, (q31_t)0xACB10E4A,
+ (q31_t)0x612DC446, (q31_t)0xAC8AEB3E, (q31_t)0x610D05B7,
+ (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAC3ECBC7,
+ (q31_t)0x60CB5BB6, (q31_t)0xAC18CF68, (q31_t)0x60AA704F,
+ (q31_t)0xABF2DFFA, (q31_t)0x60897600, (q31_t)0xABCCFD82,
+ (q31_t)0x60686CCE, (q31_t)0xABA72806, (q31_t)0x604754BE,
+ (q31_t)0xAB815F8C, (q31_t)0x60262DD5, (q31_t)0xAB5BA41A,
+ (q31_t)0x6004F818, (q31_t)0xAB35F5B5, (q31_t)0x5FE3B38D,
+ (q31_t)0xAB105464, (q31_t)0x5FC26038, (q31_t)0xAAEAC02B,
+ (q31_t)0x5FA0FE1E, (q31_t)0xAAC53912, (q31_t)0x5F7F8D46,
+ (q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA7A5253,
+ (q31_t)0x5F3C7F6B, (q31_t)0xAA54F2B9, (q31_t)0x5F1AE273,
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+ (q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x800009DE,
+ (q31_t)0x003243F5, (q31_t)0x80000000, (q31_t)0x00000000,
+ (q31_t)0x800009DE, (q31_t)0xFFCDBC0A, (q31_t)0x8000277A,
+ (q31_t)0xFF9B781D, (q31_t)0x800058D3, (q31_t)0xFF69343E,
+ (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8000F6BD,
+ (q31_t)0xFF04ACD0, (q31_t)0x8001634D, (q31_t)0xFED2694F,
+ (q31_t)0x8001E39B, (q31_t)0xFEA025FC, (q31_t)0x800277A5,
+ (q31_t)0xFE6DE2E0, (q31_t)0x80031F6C, (q31_t)0xFE3BA001,
+ (q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x8004AA31,
+ (q31_t)0xFDD71B1E, (q31_t)0x80058D2E, (q31_t)0xFDA4D928,
+ (q31_t)0x800683E8, (q31_t)0xFD72978F, (q31_t)0x80078E5E,
+ (q31_t)0xFD40565B, (q31_t)0x8008AC90, (q31_t)0xFD0E1594,
+ (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800B2427,
+ (q31_t)0xFCA99569, (q31_t)0x800C7D8C, (q31_t)0xFC775616,
+ (q31_t)0x800DEAAC, (q31_t)0xFC45174E, (q31_t)0x800F6B88,
+ (q31_t)0xFC12D919, (q31_t)0x8011001E, (q31_t)0xFBE09B80,
+ (q31_t)0x8012A86F, (q31_t)0xFBAE5E89, (q31_t)0x8014647A,
+ (q31_t)0xFB7C223C, (q31_t)0x80163440, (q31_t)0xFB49E6A2,
+ (q31_t)0x801817BF, (q31_t)0xFB17ABC2, (q31_t)0x801A0EF7,
+ (q31_t)0xFAE571A4, (q31_t)0x801C19E9, (q31_t)0xFAB3384F,
+ (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80206AF8,
+ (q31_t)0xFA4EC820, (q31_t)0x8022B113, (q31_t)0xFA1C9156,
+ (q31_t)0x80250AE7, (q31_t)0xF9EA5B75, (q31_t)0x80277872,
+ (q31_t)0xF9B82683, (q31_t)0x8029F9B4, (q31_t)0xF985F28A,
+ (q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x802F375C,
+ (q31_t)0xF9218D9E, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB,
+ (q31_t)0x8034C3DC, (q31_t)0xF8BD2CEF, (q31_t)0x8037A7AC,
+ (q31_t)0xF88AFE41, (q31_t)0x803A9F31, (q31_t)0xF858D0BA,
+ (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8040C956,
+ (q31_t)0xF7F4793E, (q31_t)0x8043FBF6, (q31_t)0xF7C24F58,
+ (q31_t)0x80474248, (q31_t)0xF79026B8, (q31_t)0x804A9C4D,
+ (q31_t)0xF75DFF65, (q31_t)0x804E0A03, (q31_t)0xF72BD967,
+ (q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x80552083,
+ (q31_t)0xF6C79188, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+ (q31_t)0x805C85C3, (q31_t)0xF6634F58, (q31_t)0x806055EA,
+ (q31_t)0xF6313076, (q31_t)0x806439C0, (q31_t)0xF5FF1317,
+ (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x806C3C73,
+ (q31_t)0xF59ADD01, (q31_t)0x80705B50, (q31_t)0xF568C45A,
+ (q31_t)0x80748DD9, (q31_t)0xF536AD55, (q31_t)0x8078D40D,
+ (q31_t)0xF50497FA, (q31_t)0x807D2DEB, (q31_t)0xF4D28451,
+ (q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x80861CA5,
+ (q31_t)0xF46E6231, (q31_t)0x808AB180, (q31_t)0xF43C53CA,
+ (q31_t)0x808F5A02, (q31_t)0xF40A4734, (q31_t)0x8094162B,
+ (q31_t)0xF3D83C76, (q31_t)0x8098E5FB, (q31_t)0xF3A63398,
+ (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A2C08B,
+ (q31_t)0xF342279A, (q31_t)0x80A7CB49, (q31_t)0xF310248A,
+ (q31_t)0x80ACE9AB, (q31_t)0xF2DE2378, (q31_t)0x80B21BAF,
+ (q31_t)0xF2AC246D, (q31_t)0x80B76155, (q31_t)0xF27A2770,
+ (q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C22783,
+ (q31_t)0xF21633C0, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C,
+ (q31_t)0x80CD3C2F, (q31_t)0xF1B248A5, (q31_t)0x80D2E3F1,
+ (q31_t)0xF1805662, (q31_t)0x80D89F51, (q31_t)0xF14E665C,
+ (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80E450E2,
+ (q31_t)0xF0EA8D23, (q31_t)0x80EA4712, (q31_t)0xF0B8A401,
+ (q31_t)0x80F050DB, (q31_t)0xF086BD39, (q31_t)0x80F66E3C,
+ (q31_t)0xF054D8D4, (q31_t)0x80FC9F35, (q31_t)0xF022F6DA,
+ (q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x81093BE8,
+ (q31_t)0xEFBF3A44, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8,
+ (q31_t)0x811626EC, (q31_t)0xEF5B87B5, (q31_t)0x811CB9CA,
+ (q31_t)0xEF29B243, (q31_t)0x81236039, (q31_t)0xEEF7DF6A,
+ (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8130E7C8,
+ (q31_t)0xEE9441A0, (q31_t)0x8137C8E6, (q31_t)0xEE6276BF,
+ (q31_t)0x813EBD90, (q31_t)0xEE30AE95, (q31_t)0x8145C5C6,
+ (q31_t)0xEDFEE92B, (q31_t)0x814CE188, (q31_t)0xEDCD2687,
+ (q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x815B53A8,
+ (q31_t)0xED69A9B2, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+ (q31_t)0x816A13E6, (q31_t)0xED063855, (q31_t)0x8171914E,
+ (q31_t)0xECD48406, (q31_t)0x8179223A, (q31_t)0xECA2D2AC,
+ (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81887E9A,
+ (q31_t)0xEC3F78F5, (q31_t)0x81904A0C, (q31_t)0xEC0DD0A8,
+ (q31_t)0x819828FD, (q31_t)0xEBDC2B6D, (q31_t)0x81A01B6C,
+ (q31_t)0xEBAA894E, (q31_t)0x81A82159, (q31_t)0xEB78EA52,
+ (q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81B867A4,
+ (q31_t)0xEB15B5E0, (q31_t)0x81C0A801, (q31_t)0xEAE4207A,
+ (q31_t)0x81C8FBD5, (q31_t)0xEAB28E55, (q31_t)0x81D16320,
+ (q31_t)0xEA80FF79, (q31_t)0x81D9DDE1, (q31_t)0xEA4F73EE,
+ (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x81EB0DBD,
+ (q31_t)0xE9EC66E8, (q31_t)0x81F3C2D7, (q31_t)0xE9BAE57C,
+ (q31_t)0x81FC8B60, (q31_t)0xE9896780, (q31_t)0x82056758,
+ (q31_t)0xE957ECFB, (q31_t)0x820E56BE, (q31_t)0xE92675F4,
+ (q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82206FCB,
+ (q31_t)0xE8C3927F, (q31_t)0x82299971, (q31_t)0xE8922621,
+ (q31_t)0x8232D67E, (q31_t)0xE860BD60, (q31_t)0x823C26F2,
+ (q31_t)0xE82F5844, (q31_t)0x82458ACB, (q31_t)0xE7FDF6D3,
+ (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82588CA6,
+ (q31_t)0xE79B3F16, (q31_t)0x82622AA5, (q31_t)0xE769E8D8,
+ (q31_t)0x826BDC04, (q31_t)0xE7389664, (q31_t)0x8275A0C0,
+ (q31_t)0xE70747C3, (q31_t)0x827F78D8, (q31_t)0xE6D5FCFC,
+ (q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x82936316,
+ (q31_t)0xE6737319, (q31_t)0x829D753A, (q31_t)0xE642340D,
+ (q31_t)0x82A79AB3, (q31_t)0xE610F8F9, (q31_t)0x82B1D381,
+ (q31_t)0xE5DFC1E4, (q31_t)0x82BC1FA1, (q31_t)0xE5AE8ED8,
+ (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82D0F1D5,
+ (q31_t)0xE54C34F3, (q31_t)0x82DB77E5, (q31_t)0xE51B0E2A,
+ (q31_t)0x82E61141, (q31_t)0xE4E9EB86, (q31_t)0x82F0BDE8,
+ (q31_t)0xE4B8CD10, (q31_t)0x82FB7DD8, (q31_t)0xE487B2CF,
+ (q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x8311378C,
+ (q31_t)0xE4258B0A, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+ (q31_t)0x83273E52, (q31_t)0xE3C37473, (q31_t)0x83325E97,
+ (q31_t)0xE3926FAC, (q31_t)0x833D921A, (q31_t)0xE3616F47,
+ (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835432D8,
+ (q31_t)0xE2FF7BC3, (q31_t)0x835FA00E, (q31_t)0xE2CE88B2,
+ (q31_t)0x836B207D, (q31_t)0xE29D9A22, (q31_t)0x8376B422,
+ (q31_t)0xE26CB01A, (q31_t)0x83825AFB, (q31_t)0xE23BCAA2,
+ (q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x8399E244,
+ (q31_t)0xE1DA0D7E, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1,
+ (q31_t)0x83B1B649, (q31_t)0xE17862F3, (q31_t)0x83BDBD0D,
+ (q31_t)0xE14794B9, (q31_t)0x83C9D6FB, (q31_t)0xE116CB3D,
+ (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83E2444D,
+ (q31_t)0xE0B54698, (q31_t)0x83EE97AC, (q31_t)0xE0848B7F,
+ (q31_t)0x83FAFE2E, (q31_t)0xE053D541, (q31_t)0x840777CF,
+ (q31_t)0xE02323E5, (q31_t)0x8414048F, (q31_t)0xDFF27773,
+ (q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x842D5761,
+ (q31_t)0xDF912D6A, (q31_t)0x843A1D70, (q31_t)0xDF608FE3,
+ (q31_t)0x8446F695, (q31_t)0xDF2FF764, (q31_t)0x8453E2CE,
+ (q31_t)0xDEFF63F4, (q31_t)0x8460E21A, (q31_t)0xDECED59B,
+ (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x847B19E1,
+ (q31_t)0xDE6DC84B, (q31_t)0x84885257, (q31_t)0xDE3D4963,
+ (q31_t)0x84959DD9, (q31_t)0xDE0CCFB1, (q31_t)0x84A2FC62,
+ (q31_t)0xDDDC5B3A, (q31_t)0x84B06DF1, (q31_t)0xDDABEC07,
+ (q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84CB8A1B,
+ (q31_t)0xDD4B1D8B, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51,
+ (q31_t)0x84E6F244, (q31_t)0xDCEA6478, (q31_t)0x84F4C2D3,
+ (q31_t)0xDCBA1008, (q31_t)0x8502A65C, (q31_t)0xDC89C108,
+ (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x851EA652,
+ (q31_t)0xDC293379, (q31_t)0x852CC2BA, (q31_t)0xDBF8F4F8,
+ (q31_t)0x853AF214, (q31_t)0xDBC8BC05, (q31_t)0x8549345C,
+ (q31_t)0xDB9888A8, (q31_t)0x85578991, (q31_t)0xDB685AE8,
+ (q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x85746CB7,
+ (q31_t)0xDB08105E, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+ (q31_t)0x85919B75, (q31_t)0xDAA7DCA1, (q31_t)0x85A04F28,
+ (q31_t)0xDA77CB62, (q31_t)0x85AF15B9, (q31_t)0xDA47BFED,
+ (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85CCDB70,
+ (q31_t)0xD9E7BA7E, (q31_t)0x85DBDA91, (q31_t)0xD9B7C093,
+ (q31_t)0x85EAEC88, (q31_t)0xD987CC8F, (q31_t)0x85FA1152,
+ (q31_t)0xD957DE7A, (q31_t)0x860948EE, (q31_t)0xD927F65B,
+ (q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x8627F090,
+ (q31_t)0xD8C8381C, (q31_t)0x86376092, (q31_t)0xD898620C,
+ (q31_t)0x8646E35B, (q31_t)0xD868920F, (q31_t)0x865678EA,
+ (q31_t)0xD838C82D, (q31_t)0x8666213C, (q31_t)0xD809046D,
+ (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x8685AA1F,
+ (q31_t)0xD7A98F73, (q31_t)0x86958AAB, (q31_t)0xD779DE46,
+ (q31_t)0x86A57DF1, (q31_t)0xD74A335A, (q31_t)0x86B583EE,
+ (q31_t)0xD71A8EB5, (q31_t)0x86C59C9F, (q31_t)0xD6EAF05E,
+ (q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86E60614,
+ (q31_t)0xD68BC6BA, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B,
+ (q31_t)0x8706BA3C, (q31_t)0xD62CB6A7, (q31_t)0x8717304E,
+ (q31_t)0xD5FD3847, (q31_t)0x8727B904, (q31_t)0xD5CDC062,
+ (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x87490257,
+ (q31_t)0xD56EE424, (q31_t)0x8759C2EF, (q31_t)0xD53F7FDA,
+ (q31_t)0x876A9621, (q31_t)0xD5102227, (q31_t)0x877B7BEC,
+ (q31_t)0xD4E0CB14, (q31_t)0x878C744C, (q31_t)0xD4B17AA7,
+ (q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87AE9CC5,
+ (q31_t)0xD452EDDE, (q31_t)0x87BFCCD7, (q31_t)0xD423B190,
+ (q31_t)0x87D10F75, (q31_t)0xD3F47C06, (q31_t)0x87E2649B,
+ (q31_t)0xD3C54D46, (q31_t)0x87F3CC47, (q31_t)0xD3962559,
+ (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8816D327,
+ (q31_t)0xD337EA12, (q31_t)0x88287255, (q31_t)0xD308D6C6,
+ (q31_t)0x883A23FE, (q31_t)0xD2D9CA6A, (q31_t)0x884BE820,
+ (q31_t)0xD2AAC504, (q31_t)0x885DBEB7, (q31_t)0xD27BC69C,
+ (q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8881A33C,
+ (q31_t)0xD21DDEE1, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+ (q31_t)0x88A5D177, (q31_t)0xD1C01374, (q31_t)0x88B80431,
+ (q31_t)0xD191386D, (q31_t)0x88CA4951, (q31_t)0xD162648F,
+ (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x88EF0AB4,
+ (q31_t)0xD104D26B, (q31_t)0x890186F1, (q31_t)0xD0D61433,
+ (q31_t)0x89141589, (q31_t)0xD0A75D42, (q31_t)0x8926B677,
+ (q31_t)0xD078AD9D, (q31_t)0x893969B9, (q31_t)0xD04A054D,
+ (q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x895F072D,
+ (q31_t)0xCFECCAC7, (q31_t)0x8971F15A, (q31_t)0xCFBE389F,
+ (q31_t)0x8984EDCF, (q31_t)0xCF8FADE8, (q31_t)0x8997FC89,
+ (q31_t)0xCF612AAA, (q31_t)0x89AB1D86, (q31_t)0xCF32AEEB,
+ (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89D1963C,
+ (q31_t)0xCED5CE08, (q31_t)0x89E4EDEE, (q31_t)0xCEA768F2,
+ (q31_t)0x89F857D8, (q31_t)0xCE790B78, (q31_t)0x8A0BD3F5,
+ (q31_t)0xCE4AB5A2, (q31_t)0x8A1F6242, (q31_t)0xCE1C6776,
+ (q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A46B563,
+ (q31_t)0xCDBFE23A, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38,
+ (q31_t)0x8A6E5122, (q31_t)0xCD637BFD, (q31_t)0x8A823A35,
+ (q31_t)0xCD355490, (q31_t)0x8A963567, (q31_t)0xCD0734F8,
+ (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8ABE6219,
+ (q31_t)0xCCAB0D65, (q31_t)0x8AD29393, (q31_t)0xCC7D0577,
+ (q31_t)0x8AE6D71F, (q31_t)0xCC4F057B, (q31_t)0x8AFB2CBA,
+ (q31_t)0xCC210D78, (q31_t)0x8B0F9461, (q31_t)0xCBF31D75,
+ (q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B3899C5,
+ (q31_t)0xCB975589, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0,
+ (q31_t)0x8B61E732, (q31_t)0xCB3BADF2, (q31_t)0x8B76A8E4,
+ (q31_t)0xCB0DE658, (q31_t)0x8B8B7C8F, (q31_t)0xCAE026E8,
+ (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BB559C1,
+ (q31_t)0xCA84C0A2, (q31_t)0x8BCA6342, (q31_t)0xCA5719DB,
+ (q31_t)0x8BDF7EAF, (q31_t)0xCA297B5A, (q31_t)0x8BF4AC05,
+ (q31_t)0xC9FBE527, (q31_t)0x8C09EB40, (q31_t)0xC9CE5748,
+ (q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C349F58,
+ (q31_t)0xC97354A3, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+ (q31_t)0x8C5F9ADD, (q31_t)0xC91873A5, (q31_t)0x8C753361,
+ (q31_t)0xC8EB0FD6, (q31_t)0x8C8ADDB6, (q31_t)0xC8BDB485,
+ (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CB667C7,
+ (q31_t)0xC863177B, (q31_t)0x8CCC477D, (q31_t)0xC835D5D0,
+ (q31_t)0x8CE238F6, (q31_t)0xC8089CBF, (q31_t)0x8CF83C30,
+ (q31_t)0xC7DB6C50, (q31_t)0x8D0E5127, (q31_t)0xC7AE4489,
+ (q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D3AB03F,
+ (q31_t)0xC7540F10, (q31_t)0x8D50FA59, (q31_t)0xC727016C,
+ (q31_t)0x8D675623, (q31_t)0xC6F9FC8D, (q31_t)0x8D7DC399,
+ (q31_t)0xC6CD0079, (q31_t)0x8D9442B7, (q31_t)0xC6A00D36,
+ (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DC175E0,
+ (q31_t)0xC6464144, (q31_t)0x8DD829E4, (q31_t)0xC61968A2,
+ (q31_t)0x8DEEEF82, (q31_t)0xC5EC98ED, (q31_t)0x8E05C6B7,
+ (q31_t)0xC5BFD22E, (q31_t)0x8E1CAF80, (q31_t)0xC593146A,
+ (q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E4AB5BF,
+ (q31_t)0xC539B3F0, (q31_t)0x8E61D32D, (q31_t)0xC50D1148,
+ (q31_t)0x8E790222, (q31_t)0xC4E077B8, (q31_t)0x8E904298,
+ (q31_t)0xC4B3E746, (q31_t)0x8EA7948C, (q31_t)0xC4875FF8,
+ (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8ED66CE1,
+ (q31_t)0xC42E6CE8, (q31_t)0x8EEDF33B, (q31_t)0xC4020132,
+ (q31_t)0x8F058B04, (q31_t)0xC3D59EBD, (q31_t)0x8F1D343A,
+ (q31_t)0xC3A9458F, (q31_t)0x8F34EED8, (q31_t)0xC37CF5B0,
+ (q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F64983F,
+ (q31_t)0xC32471F6, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A,
+ (q31_t)0x8F94871D, (q31_t)0xC2CC13C7, (q31_t)0x8FAC988E,
+ (q31_t)0xC29FF2D4, (q31_t)0x8FC4BB53, (q31_t)0xC273DB58,
+ (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x8FF534C4,
+ (q31_t)0xC21BC8E0, (q31_t)0x900D8B69, (q31_t)0xC1EFCDF2,
+ (q31_t)0x9025F352, (q31_t)0xC1C3DC96, (q31_t)0x903E6C7A,
+ (q31_t)0xC197F4D3, (q31_t)0x9056F6DF, (q31_t)0xC16C16B0,
+ (q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90883F4C,
+ (q31_t)0xC1147763, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+ (q31_t)0x90B9CC7C, (q31_t)0xC0BCFEE7, (q31_t)0x90D2ACD3,
+ (q31_t)0xC0915147, (q31_t)0x90EB9E50, (q31_t)0xC065AD70,
+ (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x911DB4A8,
+ (q31_t)0xC00E8335, (q31_t)0x9136D97D, (q31_t)0xBFE2FCDF,
+ (q31_t)0x91500F67, (q31_t)0xBFB7806C, (q31_t)0x91695663,
+ (q31_t)0xBF8C0DE2, (q31_t)0x9182AE6C, (q31_t)0xBF60A54A,
+ (q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91B5919A,
+ (q31_t)0xBF09F204, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765,
+ (q31_t)0x91E8B8D0, (q31_t)0xBEB366D1, (q31_t)0x920265E4,
+ (q31_t)0xBE88304F, (q31_t)0x921C23EE, (q31_t)0xBE5D03E5,
+ (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x924FD2D6,
+ (q31_t)0xBE06C977, (q31_t)0x9269C3AC, (q31_t)0xBDDBBB7F,
+ (q31_t)0x9283C567, (q31_t)0xBDB0B7BA, (q31_t)0x929DD805,
+ (q31_t)0xBD85BE2F, (q31_t)0x92B7FB82, (q31_t)0xBD5ACEE5,
+ (q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x92EC7505,
+ (q31_t)0xBD050F2C, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA,
+ (q31_t)0x932131D1, (q31_t)0xBCAF78C3, (q31_t)0x933BA968,
+ (q31_t)0xBC84BD1E, (q31_t)0x935631C5, (q31_t)0xBC5A0BE1,
+ (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x938B74C0,
+ (q31_t)0xBC04C8BA, (q31_t)0x93A62F56, (q31_t)0xBBDA36DC,
+ (q31_t)0x93C0FAA2, (q31_t)0xBBAFAF81, (q31_t)0x93DBD69F,
+ (q31_t)0xBB8532AF, (q31_t)0x93F6C34A, (q31_t)0xBB5AC06C,
+ (q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x942CCE95,
+ (q31_t)0xBB05FBB0, (q31_t)0x9447ED2F, (q31_t)0xBADBA943,
+ (q31_t)0x94631C64, (q31_t)0xBAB1617F, (q31_t)0x947E5C32,
+ (q31_t)0xBA87246C, (q31_t)0x9499AC95, (q31_t)0xBA5CF210,
+ (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94D07F05,
+ (q31_t)0xBA08AD94, (q31_t)0x94EC010B, (q31_t)0xB9DE9B83,
+ (q31_t)0x95079393, (q31_t)0xB9B49442, (q31_t)0x9523369B,
+ (q31_t)0xB98A97D8, (q31_t)0x953EEA1E, (q31_t)0xB960A64B,
+ (q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x95768282,
+ (q31_t)0xB90CE3E6, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+ (q31_t)0x95AE5C9E, (q31_t)0xB8B94D44, (q31_t)0x95CA6246,
+ (q31_t)0xB88F926C, (q31_t)0x95E6784F, (q31_t)0xB865E299,
+ (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x961ED573,
+ (q31_t)0xB812A419, (q31_t)0x963B1C85, (q31_t)0xB7E9157A,
+ (q31_t)0x965773E7, (q31_t)0xB7BF91F8, (q31_t)0x9673DB94,
+ (q31_t)0xB796199B, (q31_t)0x96905387, (q31_t)0xB76CAC68,
+ (q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96C97431,
+ (q31_t)0xB719F39D, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811,
+ (q31_t)0x9702D5C2, (q31_t)0xB6C767CA, (q31_t)0x971F9ED6,
+ (q31_t)0xB69E32CD, (q31_t)0x973C7816, (q31_t)0xB6750921,
+ (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97765B0A,
+ (q31_t)0xB622D7D5, (q31_t)0x979364B5, (q31_t)0xB5F9D042,
+ (q31_t)0x97B07E7A, (q31_t)0xB5D0D41A, (q31_t)0x97CDA855,
+ (q31_t)0xB5A7E362, (q31_t)0x97EAE241, (q31_t)0xB57EFE21,
+ (q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9825863D,
+ (q31_t)0xB52D561E, (q31_t)0x9842F043, (q31_t)0xB5049368,
+ (q31_t)0x98606A48, (q31_t)0xB4DBDC42, (q31_t)0x987DF449,
+ (q31_t)0xB4B330B2, (q31_t)0x989B8E3F, (q31_t)0xB48A90C0,
+ (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98D6F1FE,
+ (q31_t)0xB43973C9, (q31_t)0x98F4BBBC, (q31_t)0xB410F6D2,
+ (q31_t)0x9912955E, (q31_t)0xB3E88591, (q31_t)0x99307EE0,
+ (q31_t)0xB3C0200C, (q31_t)0x994E783C, (q31_t)0xB397C649,
+ (q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x998A9A73,
+ (q31_t)0xB3473622, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB,
+ (q31_t)0x99C6FBDE, (q31_t)0xB2F6D54F, (q31_t)0x99E5443A,
+ (q31_t)0xB2CEB6B5, (q31_t)0x9A039C56, (q31_t)0xB2A6A401,
+ (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A407BB8,
+ (q31_t)0xB256A26A, (q31_t)0x9A5F02F5, (q31_t)0xB22EB392,
+ (q31_t)0x9A7D99DD, (q31_t)0xB206D0BA, (q31_t)0x9A9C406D,
+ (q31_t)0xB1DEF9E8, (q31_t)0x9ABAF6A0, (q31_t)0xB1B72F23,
+ (q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9AF891DB,
+ (q31_t)0xB167BDD6, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+ (q31_t)0x9B366B67, (q31_t)0xB1187D05, (q31_t)0x9B556F80,
+ (q31_t)0xB0F0EEDA, (q31_t)0x9B748320, (q31_t)0xB0C96CDF,
+ (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BB2D8DD,
+ (q31_t)0xB07A8D97, (q31_t)0x9BD21AF2, (q31_t)0xB0533055,
+ (q31_t)0x9BF16C7A, (q31_t)0xB02BDF5C, (q31_t)0x9C10CD70,
+ (q31_t)0xB0049AB2, (q31_t)0x9C303DCF, (q31_t)0xAFDD625F,
+ (q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C6F4CB5,
+ (q31_t)0xAF8F16D0, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1,
+ (q31_t)0x9CAE9907, (q31_t)0xAF40FCE0, (q31_t)0x9CCE562B,
+ (q31_t)0xAF1A0293, (q31_t)0x9CEE229C, (q31_t)0xAEF314BF,
+ (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D2DE94D,
+ (q31_t)0xAEA55E9D, (q31_t)0x9D4DE384, (q31_t)0xAE7E965B,
+ (q31_t)0x9D6DECF4, (q31_t)0xAE57DAAA, (q31_t)0x9D8E0596,
+ (q31_t)0xAE312B91, (q31_t)0x9DAE2D68, (q31_t)0xAE0A8916,
+ (q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9DEEAA82,
+ (q31_t)0xADBD6A10, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91,
+ (q31_t)0x9E2F641A, (q31_t)0xAD707DC8, (q31_t)0x9E4FD789,
+ (q31_t)0xAD4A1ABA, (q31_t)0x9E705A09, (q31_t)0xAD23C46D,
+ (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9EB18C26,
+ (q31_t)0xACD73E30, (q31_t)0x9ED23BB9, (q31_t)0xACB10E4A,
+ (q31_t)0x9EF2FA48, (q31_t)0xAC8AEB3E, (q31_t)0x9F13C7D0,
+ (q31_t)0xAC64D510, (q31_t)0x9F34A449, (q31_t)0xAC3ECBC7,
+ (q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F7689FF,
+ (q31_t)0xABF2DFFA, (q31_t)0x9F979331, (q31_t)0xABCCFD82,
+ (q31_t)0x9FB8AB41, (q31_t)0xABA72806, (q31_t)0x9FD9D22A,
+ (q31_t)0xAB815F8C, (q31_t)0x9FFB07E7, (q31_t)0xAB5BA41A,
+ (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA03D9FC7,
+ (q31_t)0xAB105464, (q31_t)0xA05F01E1, (q31_t)0xAAEAC02B,
+ (q31_t)0xA08072BA, (q31_t)0xAAC53912, (q31_t)0xA0A1F24C,
+ (q31_t)0xAA9FBF1D, (q31_t)0xA0C38094, (q31_t)0xAA7A5253,
+ (q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA106C92E,
+ (q31_t)0xAA2FA055, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+ (q31_t)0xA14A4C5E, (q31_t)0xA9E52347, (q31_t)0xA16C23E1,
+ (q31_t)0xA9BFF8A8, (q31_t)0xA18E09F9, (q31_t)0xA99ADB56,
+ (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1D201D7,
+ (q31_t)0xA950C8AF, (q31_t)0xA1F41391, (q31_t)0xA92BD366,
+ (q31_t)0xA21633CD, (q31_t)0xA906EB81, (q31_t)0xA2386283,
+ (q31_t)0xA8E21106, (q31_t)0xA25A9FB1, (q31_t)0xA8BD43FA,
+ (q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA29F4559,
+ (q31_t)0xA873D246, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9,
+ (q31_t)0xA2E4249A, (q31_t)0xA82A9693, (q31_t)0xA306A9C7,
+ (q31_t)0xA8060D08, (q31_t)0xA3293D4B, (q31_t)0xA7E1910E,
+ (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA36E8F40,
+ (q31_t)0xA798C1E4, (q31_t)0xA3914DA7, (q31_t)0xA7746EC0,
+ (q31_t)0xA3B41A4F, (q31_t)0xA7502943, (q31_t)0xA3D6F533,
+ (q31_t)0xA72BF173, (q31_t)0xA3F9DE4D, (q31_t)0xA707C756,
+ (q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA43FDB0F,
+ (q31_t)0xA6BF9C4B, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68,
+ (q31_t)0xA4861069, (q31_t)0xA677A84E, (q31_t)0xA4A94042,
+ (q31_t)0xA653C302, (q31_t)0xA4CC7E31, (q31_t)0xA62FEB8B,
+ (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA513243B,
+ (q31_t)0xA5E8662F, (q31_t)0xA5368C4B, (q31_t)0xA5C4B855,
+ (q31_t)0xA55A025B, (q31_t)0xA5A11865, (q31_t)0xA57D8666,
+ (q31_t)0xA57D8666, (q31_t)0xA5A11865, (q31_t)0xA55A025B,
+ (q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA5E8662F,
+ (q31_t)0xA513243B, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31,
+ (q31_t)0xA62FEB8B, (q31_t)0xA4CC7E31, (q31_t)0xA653C302,
+ (q31_t)0xA4A94042, (q31_t)0xA677A84E, (q31_t)0xA4861069,
+ (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6BF9C4B,
+ (q31_t)0xA43FDB0F, (q31_t)0xA6E3AAF2, (q31_t)0xA41CD598,
+ (q31_t)0xA707C756, (q31_t)0xA3F9DE4D, (q31_t)0xA72BF173,
+ (q31_t)0xA3D6F533, (q31_t)0xA7502943, (q31_t)0xA3B41A4F,
+ (q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA798C1E4,
+ (q31_t)0xA36E8F40, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+ (q31_t)0xA7E1910E, (q31_t)0xA3293D4B, (q31_t)0xA8060D08,
+ (q31_t)0xA306A9C7, (q31_t)0xA82A9693, (q31_t)0xA2E4249A,
+ (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA873D246,
+ (q31_t)0xA29F4559, (q31_t)0xA8988463, (q31_t)0xA27CEB4F,
+ (q31_t)0xA8BD43FA, (q31_t)0xA25A9FB1, (q31_t)0xA8E21106,
+ (q31_t)0xA2386283, (q31_t)0xA906EB81, (q31_t)0xA21633CD,
+ (q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA950C8AF,
+ (q31_t)0xA1D201D7, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2,
+ (q31_t)0xA99ADB56, (q31_t)0xA18E09F9, (q31_t)0xA9BFF8A8,
+ (q31_t)0xA16C23E1, (q31_t)0xA9E52347, (q31_t)0xA14A4C5E,
+ (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA2FA055,
+ (q31_t)0xA106C92E, (q31_t)0xAA54F2B9, (q31_t)0xA0E51D8C,
+ (q31_t)0xAA7A5253, (q31_t)0xA0C38094, (q31_t)0xAA9FBF1D,
+ (q31_t)0xA0A1F24C, (q31_t)0xAAC53912, (q31_t)0xA08072BA,
+ (q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB105464,
+ (q31_t)0xA03D9FC7, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72,
+ (q31_t)0xAB5BA41A, (q31_t)0x9FFB07E7, (q31_t)0xAB815F8C,
+ (q31_t)0x9FD9D22A, (q31_t)0xABA72806, (q31_t)0x9FB8AB41,
+ (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xABF2DFFA,
+ (q31_t)0x9F7689FF, (q31_t)0xAC18CF68, (q31_t)0x9F558FB0,
+ (q31_t)0xAC3ECBC7, (q31_t)0x9F34A449, (q31_t)0xAC64D510,
+ (q31_t)0x9F13C7D0, (q31_t)0xAC8AEB3E, (q31_t)0x9EF2FA48,
+ (q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACD73E30,
+ (q31_t)0x9EB18C26, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94,
+ (q31_t)0xAD23C46D, (q31_t)0x9E705A09, (q31_t)0xAD4A1ABA,
+ (q31_t)0x9E4FD789, (q31_t)0xAD707DC8, (q31_t)0x9E2F641A,
+ (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADBD6A10,
+ (q31_t)0x9DEEAA82, (q31_t)0xADE3F33E, (q31_t)0x9DCE6462,
+ (q31_t)0xAE0A8916, (q31_t)0x9DAE2D68, (q31_t)0xAE312B91,
+ (q31_t)0x9D8E0596, (q31_t)0xAE57DAAA, (q31_t)0x9D6DECF4,
+ (q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAEA55E9D,
+ (q31_t)0x9D2DE94D, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+ (q31_t)0xAEF314BF, (q31_t)0x9CEE229C, (q31_t)0xAF1A0293,
+ (q31_t)0x9CCE562B, (q31_t)0xAF40FCE0, (q31_t)0x9CAE9907,
+ (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAF8F16D0,
+ (q31_t)0x9C6F4CB5, (q31_t)0xAFB63667, (q31_t)0x9C4FBD92,
+ (q31_t)0xAFDD625F, (q31_t)0x9C303DCF, (q31_t)0xB0049AB2,
+ (q31_t)0x9C10CD70, (q31_t)0xB02BDF5C, (q31_t)0x9BF16C7A,
+ (q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB07A8D97,
+ (q31_t)0x9BB2D8DD, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640,
+ (q31_t)0xB0C96CDF, (q31_t)0x9B748320, (q31_t)0xB0F0EEDA,
+ (q31_t)0x9B556F80, (q31_t)0xB1187D05, (q31_t)0x9B366B67,
+ (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB167BDD6,
+ (q31_t)0x9AF891DB, (q31_t)0xB18F7070, (q31_t)0x9AD9BC71,
+ (q31_t)0xB1B72F23, (q31_t)0x9ABAF6A0, (q31_t)0xB1DEF9E8,
+ (q31_t)0x9A9C406D, (q31_t)0xB206D0BA, (q31_t)0x9A7D99DD,
+ (q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB256A26A,
+ (q31_t)0x9A407BB8, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C,
+ (q31_t)0xB2A6A401, (q31_t)0x9A039C56, (q31_t)0xB2CEB6B5,
+ (q31_t)0x99E5443A, (q31_t)0xB2F6D54F, (q31_t)0x99C6FBDE,
+ (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3473622,
+ (q31_t)0x998A9A73, (q31_t)0xB36F784E, (q31_t)0x996C816F,
+ (q31_t)0xB397C649, (q31_t)0x994E783C, (q31_t)0xB3C0200C,
+ (q31_t)0x99307EE0, (q31_t)0xB3E88591, (q31_t)0x9912955E,
+ (q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB43973C9,
+ (q31_t)0x98D6F1FE, (q31_t)0xB461FC70, (q31_t)0x98B93828,
+ (q31_t)0xB48A90C0, (q31_t)0x989B8E3F, (q31_t)0xB4B330B2,
+ (q31_t)0x987DF449, (q31_t)0xB4DBDC42, (q31_t)0x98606A48,
+ (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB52D561E,
+ (q31_t)0x9825863D, (q31_t)0xB556245E, (q31_t)0x98082C3B,
+ (q31_t)0xB57EFE21, (q31_t)0x97EAE241, (q31_t)0xB5A7E362,
+ (q31_t)0x97CDA855, (q31_t)0xB5D0D41A, (q31_t)0x97B07E7A,
+ (q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB622D7D5,
+ (q31_t)0x97765B0A, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+ (q31_t)0xB6750921, (q31_t)0x973C7816, (q31_t)0xB69E32CD,
+ (q31_t)0x971F9ED6, (q31_t)0xB6C767CA, (q31_t)0x9702D5C2,
+ (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB719F39D,
+ (q31_t)0x96C97431, (q31_t)0xB7434A67, (q31_t)0x96ACDBBD,
+ (q31_t)0xB76CAC68, (q31_t)0x96905387, (q31_t)0xB796199B,
+ (q31_t)0x9673DB94, (q31_t)0xB7BF91F8, (q31_t)0x965773E7,
+ (q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB812A419,
+ (q31_t)0x961ED573, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5,
+ (q31_t)0xB865E299, (q31_t)0x95E6784F, (q31_t)0xB88F926C,
+ (q31_t)0x95CA6246, (q31_t)0xB8B94D44, (q31_t)0x95AE5C9E,
+ (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB90CE3E6,
+ (q31_t)0x95768282, (q31_t)0xB936BFA3, (q31_t)0x955AAE17,
+ (q31_t)0xB960A64B, (q31_t)0x953EEA1E, (q31_t)0xB98A97D8,
+ (q31_t)0x9523369B, (q31_t)0xB9B49442, (q31_t)0x95079393,
+ (q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA08AD94,
+ (q31_t)0x94D07F05, (q31_t)0xBA32CA70, (q31_t)0x94B50D87,
+ (q31_t)0xBA5CF210, (q31_t)0x9499AC95, (q31_t)0xBA87246C,
+ (q31_t)0x947E5C32, (q31_t)0xBAB1617F, (q31_t)0x94631C64,
+ (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB05FBB0,
+ (q31_t)0x942CCE95, (q31_t)0xBB3058C0, (q31_t)0x9411C09D,
+ (q31_t)0xBB5AC06C, (q31_t)0x93F6C34A, (q31_t)0xBB8532AF,
+ (q31_t)0x93DBD69F, (q31_t)0xBBAFAF81, (q31_t)0x93C0FAA2,
+ (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC04C8BA,
+ (q31_t)0x938B74C0, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4,
+ (q31_t)0xBC5A0BE1, (q31_t)0x935631C5, (q31_t)0xBC84BD1E,
+ (q31_t)0x933BA968, (q31_t)0xBCAF78C3, (q31_t)0x932131D1,
+ (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD050F2C,
+ (q31_t)0x92EC7505, (q31_t)0xBD2FE9E1, (q31_t)0x92D22FD8,
+ (q31_t)0xBD5ACEE5, (q31_t)0x92B7FB82, (q31_t)0xBD85BE2F,
+ (q31_t)0x929DD805, (q31_t)0xBDB0B7BA, (q31_t)0x9283C567,
+ (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE06C977,
+ (q31_t)0x924FD2D6, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+ (q31_t)0xBE5D03E5, (q31_t)0x921C23EE, (q31_t)0xBE88304F,
+ (q31_t)0x920265E4, (q31_t)0xBEB366D1, (q31_t)0x91E8B8D0,
+ (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF09F204,
+ (q31_t)0x91B5919A, (q31_t)0xBF3546A8, (q31_t)0x919C1780,
+ (q31_t)0xBF60A54A, (q31_t)0x9182AE6C, (q31_t)0xBF8C0DE2,
+ (q31_t)0x91695663, (q31_t)0xBFB7806C, (q31_t)0x91500F67,
+ (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC00E8335,
+ (q31_t)0x911DB4A8, (q31_t)0xC03A1368, (q31_t)0x9104A0ED,
+ (q31_t)0xC065AD70, (q31_t)0x90EB9E50, (q31_t)0xC0915147,
+ (q31_t)0x90D2ACD3, (q31_t)0xC0BCFEE7, (q31_t)0x90B9CC7C,
+ (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1147763,
+ (q31_t)0x90883F4C, (q31_t)0xC1404233, (q31_t)0x906F927B,
+ (q31_t)0xC16C16B0, (q31_t)0x9056F6DF, (q31_t)0xC197F4D3,
+ (q31_t)0x903E6C7A, (q31_t)0xC1C3DC96, (q31_t)0x9025F352,
+ (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC21BC8E0,
+ (q31_t)0x8FF534C4, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66,
+ (q31_t)0xC273DB58, (q31_t)0x8FC4BB53, (q31_t)0xC29FF2D4,
+ (q31_t)0x8FAC988E, (q31_t)0xC2CC13C7, (q31_t)0x8F94871D,
+ (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC32471F6,
+ (q31_t)0x8F64983F, (q31_t)0xC350AF25, (q31_t)0x8F4CBADB,
+ (q31_t)0xC37CF5B0, (q31_t)0x8F34EED8, (q31_t)0xC3A9458F,
+ (q31_t)0x8F1D343A, (q31_t)0xC3D59EBD, (q31_t)0x8F058B04,
+ (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC42E6CE8,
+ (q31_t)0x8ED66CE1, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB,
+ (q31_t)0xC4875FF8, (q31_t)0x8EA7948C, (q31_t)0xC4B3E746,
+ (q31_t)0x8E904298, (q31_t)0xC4E077B8, (q31_t)0x8E790222,
+ (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC539B3F0,
+ (q31_t)0x8E4AB5BF, (q31_t)0xC5665FA8, (q31_t)0x8E33A9D9,
+ (q31_t)0xC593146A, (q31_t)0x8E1CAF80, (q31_t)0xC5BFD22E,
+ (q31_t)0x8E05C6B7, (q31_t)0xC5EC98ED, (q31_t)0x8DEEEF82,
+ (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC6464144,
+ (q31_t)0x8DC175E0, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+ (q31_t)0xC6A00D36, (q31_t)0x8D9442B7, (q31_t)0xC6CD0079,
+ (q31_t)0x8D7DC399, (q31_t)0xC6F9FC8D, (q31_t)0x8D675623,
+ (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7540F10,
+ (q31_t)0x8D3AB03F, (q31_t)0xC7812571, (q31_t)0x8D2477D8,
+ (q31_t)0xC7AE4489, (q31_t)0x8D0E5127, (q31_t)0xC7DB6C50,
+ (q31_t)0x8CF83C30, (q31_t)0xC8089CBF, (q31_t)0x8CE238F6,
+ (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC863177B,
+ (q31_t)0x8CB667C7, (q31_t)0xC89061BA, (q31_t)0x8CA099D9,
+ (q31_t)0xC8BDB485, (q31_t)0x8C8ADDB6, (q31_t)0xC8EB0FD6,
+ (q31_t)0x8C753361, (q31_t)0xC91873A5, (q31_t)0x8C5F9ADD,
+ (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC97354A3,
+ (q31_t)0x8C349F58, (q31_t)0xC9A0D1C4, (q31_t)0x8C1F3C5C,
+ (q31_t)0xC9CE5748, (q31_t)0x8C09EB40, (q31_t)0xC9FBE527,
+ (q31_t)0x8BF4AC05, (q31_t)0xCA297B5A, (q31_t)0x8BDF7EAF,
+ (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCA84C0A2,
+ (q31_t)0x8BB559C1, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F,
+ (q31_t)0xCAE026E8, (q31_t)0x8B8B7C8F, (q31_t)0xCB0DE658,
+ (q31_t)0x8B76A8E4, (q31_t)0xCB3BADF2, (q31_t)0x8B61E732,
+ (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCB975589,
+ (q31_t)0x8B3899C5, (q31_t)0xCBC53578, (q31_t)0x8B240E10,
+ (q31_t)0xCBF31D75, (q31_t)0x8B0F9461, (q31_t)0xCC210D78,
+ (q31_t)0x8AFB2CBA, (q31_t)0xCC4F057B, (q31_t)0x8AE6D71F,
+ (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCAB0D65,
+ (q31_t)0x8ABE6219, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4,
+ (q31_t)0xCD0734F8, (q31_t)0x8A963567, (q31_t)0xCD355490,
+ (q31_t)0x8A823A35, (q31_t)0xCD637BFD, (q31_t)0x8A6E5122,
+ (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDBFE23A,
+ (q31_t)0x8A46B563, (q31_t)0xCDEE20FC, (q31_t)0x8A3302BD,
+ (q31_t)0xCE1C6776, (q31_t)0x8A1F6242, (q31_t)0xCE4AB5A2,
+ (q31_t)0x8A0BD3F5, (q31_t)0xCE790B78, (q31_t)0x89F857D8,
+ (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCED5CE08,
+ (q31_t)0x89D1963C, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+ (q31_t)0xCF32AEEB, (q31_t)0x89AB1D86, (q31_t)0xCF612AAA,
+ (q31_t)0x8997FC89, (q31_t)0xCF8FADE8, (q31_t)0x8984EDCF,
+ (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xCFECCAC7,
+ (q31_t)0x895F072D, (q31_t)0xD01B6459, (q31_t)0x894C2F4C,
+ (q31_t)0xD04A054D, (q31_t)0x893969B9, (q31_t)0xD078AD9D,
+ (q31_t)0x8926B677, (q31_t)0xD0A75D42, (q31_t)0x89141589,
+ (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD104D26B,
+ (q31_t)0x88EF0AB4, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3,
+ (q31_t)0xD162648F, (q31_t)0x88CA4951, (q31_t)0xD191386D,
+ (q31_t)0x88B80431, (q31_t)0xD1C01374, (q31_t)0x88A5D177,
+ (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD21DDEE1,
+ (q31_t)0x8881A33C, (q31_t)0xD24CCF38, (q31_t)0x886FA7C2,
+ (q31_t)0xD27BC69C, (q31_t)0x885DBEB7, (q31_t)0xD2AAC504,
+ (q31_t)0x884BE820, (q31_t)0xD2D9CA6A, (q31_t)0x883A23FE,
+ (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD337EA12,
+ (q31_t)0x8816D327, (q31_t)0xD3670445, (q31_t)0x88054677,
+ (q31_t)0xD3962559, (q31_t)0x87F3CC47, (q31_t)0xD3C54D46,
+ (q31_t)0x87E2649B, (q31_t)0xD3F47C06, (q31_t)0x87D10F75,
+ (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD452EDDE,
+ (q31_t)0x87AE9CC5, (q31_t)0xD48230E8, (q31_t)0x879D7F40,
+ (q31_t)0xD4B17AA7, (q31_t)0x878C744C, (q31_t)0xD4E0CB14,
+ (q31_t)0x877B7BEC, (q31_t)0xD5102227, (q31_t)0x876A9621,
+ (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD56EE424,
+ (q31_t)0x87490257, (q31_t)0xD59E4EFE, (q31_t)0x8738545E,
+ (q31_t)0xD5CDC062, (q31_t)0x8727B904, (q31_t)0xD5FD3847,
+ (q31_t)0x8717304E, (q31_t)0xD62CB6A7, (q31_t)0x8706BA3C,
+ (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD68BC6BA,
+ (q31_t)0x86E60614, (q31_t)0xD6BB585D, (q31_t)0x86D5C802,
+ (q31_t)0xD6EAF05E, (q31_t)0x86C59C9F, (q31_t)0xD71A8EB5,
+ (q31_t)0x86B583EE, (q31_t)0xD74A335A, (q31_t)0x86A57DF1,
+ (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7A98F73,
+ (q31_t)0x8685AA1F, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+ (q31_t)0xD809046D, (q31_t)0x8666213C, (q31_t)0xD838C82D,
+ (q31_t)0x865678EA, (q31_t)0xD868920F, (q31_t)0x8646E35B,
+ (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8C8381C,
+ (q31_t)0x8627F090, (q31_t)0xD8F81439, (q31_t)0x86189359,
+ (q31_t)0xD927F65B, (q31_t)0x860948EE, (q31_t)0xD957DE7A,
+ (q31_t)0x85FA1152, (q31_t)0xD987CC8F, (q31_t)0x85EAEC88,
+ (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xD9E7BA7E,
+ (q31_t)0x85CCDB70, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27,
+ (q31_t)0xDA47BFED, (q31_t)0x85AF15B9, (q31_t)0xDA77CB62,
+ (q31_t)0x85A04F28, (q31_t)0xDAA7DCA1, (q31_t)0x85919B75,
+ (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB08105E,
+ (q31_t)0x85746CB7, (q31_t)0xDB3832CD, (q31_t)0x8565F1B0,
+ (q31_t)0xDB685AE8, (q31_t)0x85578991, (q31_t)0xDB9888A8,
+ (q31_t)0x8549345C, (q31_t)0xDBC8BC05, (q31_t)0x853AF214,
+ (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC293379,
+ (q31_t)0x851EA652, (q31_t)0xDC597781, (q31_t)0x85109CDC,
+ (q31_t)0xDC89C108, (q31_t)0x8502A65C, (q31_t)0xDCBA1008,
+ (q31_t)0x84F4C2D3, (q31_t)0xDCEA6478, (q31_t)0x84E6F244,
+ (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD4B1D8B,
+ (q31_t)0x84CB8A1B, (q31_t)0xDD7B8220, (q31_t)0x84BDF285,
+ (q31_t)0xDDABEC07, (q31_t)0x84B06DF1, (q31_t)0xDDDC5B3A,
+ (q31_t)0x84A2FC62, (q31_t)0xDE0CCFB1, (q31_t)0x84959DD9,
+ (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE6DC84B,
+ (q31_t)0x847B19E1, (q31_t)0xDE9E4C60, (q31_t)0x846DF476,
+ (q31_t)0xDECED59B, (q31_t)0x8460E21A, (q31_t)0xDEFF63F4,
+ (q31_t)0x8453E2CE, (q31_t)0xDF2FF764, (q31_t)0x8446F695,
+ (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDF912D6A,
+ (q31_t)0x842D5761, (q31_t)0xDFC1CFF2, (q31_t)0x8420A46B,
+ (q31_t)0xDFF27773, (q31_t)0x8414048F, (q31_t)0xE02323E5,
+ (q31_t)0x840777CF, (q31_t)0xE053D541, (q31_t)0x83FAFE2E,
+ (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0B54698,
+ (q31_t)0x83E2444D, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+ (q31_t)0xE116CB3D, (q31_t)0x83C9D6FB, (q31_t)0xE14794B9,
+ (q31_t)0x83BDBD0D, (q31_t)0xE17862F3, (q31_t)0x83B1B649,
+ (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE1DA0D7E,
+ (q31_t)0x8399E244, (q31_t)0xE20AE9C1, (q31_t)0x838E1507,
+ (q31_t)0xE23BCAA2, (q31_t)0x83825AFB, (q31_t)0xE26CB01A,
+ (q31_t)0x8376B422, (q31_t)0xE29D9A22, (q31_t)0x836B207D,
+ (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE2FF7BC3,
+ (q31_t)0x835432D8, (q31_t)0xE330734C, (q31_t)0x8348D8DB,
+ (q31_t)0xE3616F47, (q31_t)0x833D921A, (q31_t)0xE3926FAC,
+ (q31_t)0x83325E97, (q31_t)0xE3C37473, (q31_t)0x83273E52,
+ (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4258B0A,
+ (q31_t)0x8311378C, (q31_t)0xE4569CCB, (q31_t)0x8306510F,
+ (q31_t)0xE487B2CF, (q31_t)0x82FB7DD8, (q31_t)0xE4B8CD10,
+ (q31_t)0x82F0BDE8, (q31_t)0xE4E9EB86, (q31_t)0x82E61141,
+ (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE54C34F3,
+ (q31_t)0x82D0F1D5, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13,
+ (q31_t)0xE5AE8ED8, (q31_t)0x82BC1FA1, (q31_t)0xE5DFC1E4,
+ (q31_t)0x82B1D381, (q31_t)0xE610F8F9, (q31_t)0x82A79AB3,
+ (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6737319,
+ (q31_t)0x82936316, (q31_t)0xE6A4B616, (q31_t)0x8289644A,
+ (q31_t)0xE6D5FCFC, (q31_t)0x827F78D8, (q31_t)0xE70747C3,
+ (q31_t)0x8275A0C0, (q31_t)0xE7389664, (q31_t)0x826BDC04,
+ (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE79B3F16,
+ (q31_t)0x82588CA6, (q31_t)0xE7CC9917, (q31_t)0x824F0208,
+ (q31_t)0xE7FDF6D3, (q31_t)0x82458ACB, (q31_t)0xE82F5844,
+ (q31_t)0x823C26F2, (q31_t)0xE860BD60, (q31_t)0x8232D67E,
+ (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8C3927F,
+ (q31_t)0x82206FCB, (q31_t)0xE8F50273, (q31_t)0x8217598F,
+ (q31_t)0xE92675F4, (q31_t)0x820E56BE, (q31_t)0xE957ECFB,
+ (q31_t)0x82056758, (q31_t)0xE9896780, (q31_t)0x81FC8B60,
+ (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xE9EC66E8,
+ (q31_t)0x81EB0DBD, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+ (q31_t)0xEA4F73EE, (q31_t)0x81D9DDE1, (q31_t)0xEA80FF79,
+ (q31_t)0x81D16320, (q31_t)0xEAB28E55, (q31_t)0x81C8FBD5,
+ (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB15B5E0,
+ (q31_t)0x81B867A4, (q31_t)0xEB474E80, (q31_t)0x81B03AC1,
+ (q31_t)0xEB78EA52, (q31_t)0x81A82159, (q31_t)0xEBAA894E,
+ (q31_t)0x81A01B6C, (q31_t)0xEBDC2B6D, (q31_t)0x819828FD,
+ (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC3F78F5,
+ (q31_t)0x81887E9A, (q31_t)0xEC71244F, (q31_t)0x8180C6A9,
+ (q31_t)0xECA2D2AC, (q31_t)0x8179223A, (q31_t)0xECD48406,
+ (q31_t)0x8171914E, (q31_t)0xED063855, (q31_t)0x816A13E6,
+ (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED69A9B2,
+ (q31_t)0x815B53A8, (q31_t)0xED9B66B2, (q31_t)0x815410D3,
+ (q31_t)0xEDCD2687, (q31_t)0x814CE188, (q31_t)0xEDFEE92B,
+ (q31_t)0x8145C5C6, (q31_t)0xEE30AE95, (q31_t)0x813EBD90,
+ (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEE9441A0,
+ (q31_t)0x8130E7C8, (q31_t)0xEEC60F31, (q31_t)0x812A1A39,
+ (q31_t)0xEEF7DF6A, (q31_t)0x81236039, (q31_t)0xEF29B243,
+ (q31_t)0x811CB9CA, (q31_t)0xEF5B87B5, (q31_t)0x811626EC,
+ (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFBF3A44,
+ (q31_t)0x81093BE8, (q31_t)0xEFF11752, (q31_t)0x8102E3C3,
+ (q31_t)0xF022F6DA, (q31_t)0x80FC9F35, (q31_t)0xF054D8D4,
+ (q31_t)0x80F66E3C, (q31_t)0xF086BD39, (q31_t)0x80F050DB,
+ (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF0EA8D23,
+ (q31_t)0x80E450E2, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C,
+ (q31_t)0xF14E665C, (q31_t)0x80D89F51, (q31_t)0xF1805662,
+ (q31_t)0x80D2E3F1, (q31_t)0xF1B248A5, (q31_t)0x80CD3C2F,
+ (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF21633C0,
+ (q31_t)0x80C22783, (q31_t)0xF2482C89, (q31_t)0x80BCBA9C,
+ (q31_t)0xF27A2770, (q31_t)0x80B76155, (q31_t)0xF2AC246D,
+ (q31_t)0x80B21BAF, (q31_t)0xF2DE2378, (q31_t)0x80ACE9AB,
+ (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF342279A,
+ (q31_t)0x80A2C08B, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+ (q31_t)0xF3A63398, (q31_t)0x8098E5FB, (q31_t)0xF3D83C76,
+ (q31_t)0x8094162B, (q31_t)0xF40A4734, (q31_t)0x808F5A02,
+ (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF46E6231,
+ (q31_t)0x80861CA5, (q31_t)0xF4A07260, (q31_t)0x80819B74,
+ (q31_t)0xF4D28451, (q31_t)0x807D2DEB, (q31_t)0xF50497FA,
+ (q31_t)0x8078D40D, (q31_t)0xF536AD55, (q31_t)0x80748DD9,
+ (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF59ADD01,
+ (q31_t)0x806C3C73, (q31_t)0xF5CCF743, (q31_t)0x80683143,
+ (q31_t)0xF5FF1317, (q31_t)0x806439C0, (q31_t)0xF6313076,
+ (q31_t)0x806055EA, (q31_t)0xF6634F58, (q31_t)0x805C85C3,
+ (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6C79188,
+ (q31_t)0x80552083, (q31_t)0xF6F9B4C5, (q31_t)0x80518B6B,
+ (q31_t)0xF72BD967, (q31_t)0x804E0A03, (q31_t)0xF75DFF65,
+ (q31_t)0x804A9C4D, (q31_t)0xF79026B8, (q31_t)0x80474248,
+ (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF7F4793E,
+ (q31_t)0x8040C956, (q31_t)0xF826A461, (q31_t)0x803DAA69,
+ (q31_t)0xF858D0BA, (q31_t)0x803A9F31, (q31_t)0xF88AFE41,
+ (q31_t)0x8037A7AC, (q31_t)0xF8BD2CEF, (q31_t)0x8034C3DC,
+ (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9218D9E,
+ (q31_t)0x802F375C, (q31_t)0xF953BF90, (q31_t)0x802C8EAD,
+ (q31_t)0xF985F28A, (q31_t)0x8029F9B4, (q31_t)0xF9B82683,
+ (q31_t)0x80277872, (q31_t)0xF9EA5B75, (q31_t)0x80250AE7,
+ (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA4EC820,
+ (q31_t)0x80206AF8, (q31_t)0xFA80FFCB, (q31_t)0x801E3894,
+ (q31_t)0xFAB3384F, (q31_t)0x801C19E9, (q31_t)0xFAE571A4,
+ (q31_t)0x801A0EF7, (q31_t)0xFB17ABC2, (q31_t)0x801817BF,
+ (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFB7C223C,
+ (q31_t)0x8014647A, (q31_t)0xFBAE5E89, (q31_t)0x8012A86F,
+ (q31_t)0xFBE09B80, (q31_t)0x8011001E, (q31_t)0xFC12D919,
+ (q31_t)0x800F6B88, (q31_t)0xFC45174E, (q31_t)0x800DEAAC,
+ (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCA99569,
+ (q31_t)0x800B2427, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D,
+ (q31_t)0xFD0E1594, (q31_t)0x8008AC90, (q31_t)0xFD40565B,
+ (q31_t)0x80078E5E, (q31_t)0xFD72978F, (q31_t)0x800683E8,
+ (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFDD71B1E,
+ (q31_t)0x8004AA31, (q31_t)0xFE095D69, (q31_t)0x8003DAF0,
+ (q31_t)0xFE3BA001, (q31_t)0x80031F6C, (q31_t)0xFE6DE2E0,
+ (q31_t)0x800277A5, (q31_t)0xFEA025FC, (q31_t)0x8001E39B,
+ (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF04ACD0,
+ (q31_t)0x8000F6BD, (q31_t)0xFF36F078, (q31_t)0x80009DE9,
+ (q31_t)0xFF69343E, (q31_t)0x800058D3, (q31_t)0xFF9B781D,
+ (q31_t)0x8000277A, (q31_t)0xFFCDBC0A, (q31_t)0x800009DE
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+ @brief q15 Twiddle factors Table
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16)
+
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ fori = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 16, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_16_q15[24] = {
+ (q15_t)0x7FFF, (q15_t)0x0000,
+ (q15_t)0x7641, (q15_t)0x30FB,
+ (q15_t)0x5A82, (q15_t)0x5A82,
+ (q15_t)0x30FB, (q15_t)0x7641,
+ (q15_t)0x0000, (q15_t)0x7FFF,
+ (q15_t)0xCF04, (q15_t)0x7641,
+ (q15_t)0xA57D, (q15_t)0x5A82,
+ (q15_t)0x89BE, (q15_t)0x30FB,
+ (q15_t)0x8000, (q15_t)0x0000,
+ (q15_t)0x89BE, (q15_t)0xCF04,
+ (q15_t)0xA57D, (q15_t)0xA57D,
+ (q15_t)0xCF04, (q15_t)0x89BE
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 32, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_32_q15[48] = {
+ (q15_t)0x7FFF, (q15_t)0x0000,
+ (q15_t)0x7D8A, (q15_t)0x18F8,
+ (q15_t)0x7641, (q15_t)0x30FB,
+ (q15_t)0x6A6D, (q15_t)0x471C,
+ (q15_t)0x5A82, (q15_t)0x5A82,
+ (q15_t)0x471C, (q15_t)0x6A6D,
+ (q15_t)0x30FB, (q15_t)0x7641,
+ (q15_t)0x18F8, (q15_t)0x7D8A,
+ (q15_t)0x0000, (q15_t)0x7FFF,
+ (q15_t)0xE707, (q15_t)0x7D8A,
+ (q15_t)0xCF04, (q15_t)0x7641,
+ (q15_t)0xB8E3, (q15_t)0x6A6D,
+ (q15_t)0xA57D, (q15_t)0x5A82,
+ (q15_t)0x9592, (q15_t)0x471C,
+ (q15_t)0x89BE, (q15_t)0x30FB,
+ (q15_t)0x8275, (q15_t)0x18F8,
+ (q15_t)0x8000, (q15_t)0x0000,
+ (q15_t)0x8275, (q15_t)0xE707,
+ (q15_t)0x89BE, (q15_t)0xCF04,
+ (q15_t)0x9592, (q15_t)0xB8E3,
+ (q15_t)0xA57D, (q15_t)0xA57D,
+ (q15_t)0xB8E3, (q15_t)0x9592,
+ (q15_t)0xCF04, (q15_t)0x89BE,
+ (q15_t)0xE707, (q15_t)0x8275
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 64, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_64_q15[96] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7F62, (q15_t)0x0C8B,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7A7D, (q15_t)0x2528,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x70E2, (q15_t)0x3C56,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x62F2, (q15_t)0x5133,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5133, (q15_t)0x62F2,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x3C56, (q15_t)0x70E2,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2528, (q15_t)0x7A7D,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x0C8B, (q15_t)0x7F62,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF374, (q15_t)0x7F62,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xDAD7, (q15_t)0x7A7D,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC3A9, (q15_t)0x70E2,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xAECC, (q15_t)0x62F2,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0x9D0D, (q15_t)0x5133,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x8F1D, (q15_t)0x3C56,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8582, (q15_t)0x2528,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x809D, (q15_t)0x0C8B,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x809D, (q15_t)0xF374,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8582, (q15_t)0xDAD7,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8F1D, (q15_t)0xC3A9,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9D0D, (q15_t)0xAECC,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAECC, (q15_t)0x9D0D,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xC3A9, (q15_t)0x8F1D,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xDAD7, (q15_t)0x8582,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xF374, (q15_t)0x809D
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 128, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_128_q15[192] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FD8, (q15_t)0x0647,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7E9D, (q15_t)0x12C8,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7C29, (q15_t)0x1F19,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7884, (q15_t)0x2B1F,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x73B5, (q15_t)0x36BA,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6DCA, (q15_t)0x41CE,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x66CF, (q15_t)0x4C3F,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x5ED7, (q15_t)0x55F5,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x55F5, (q15_t)0x5ED7,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4C3F, (q15_t)0x66CF,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x41CE, (q15_t)0x6DCA,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x36BA, (q15_t)0x73B5,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2B1F, (q15_t)0x7884,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x1F19, (q15_t)0x7C29,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x12C8, (q15_t)0x7E9D,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0647, (q15_t)0x7FD8,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF9B8, (q15_t)0x7FD8,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xED37, (q15_t)0x7E9D,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE0E6, (q15_t)0x7C29,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD4E0, (q15_t)0x7884,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC945, (q15_t)0x73B5,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xBE31, (q15_t)0x6DCA,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB3C0, (q15_t)0x66CF,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAA0A, (q15_t)0x5ED7,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA128, (q15_t)0x55F5,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9930, (q15_t)0x4C3F,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9235, (q15_t)0x41CE,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8C4A, (q15_t)0x36BA,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x877B, (q15_t)0x2B1F,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x83D6, (q15_t)0x1F19,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8162, (q15_t)0x12C8,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8027, (q15_t)0x0647,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8027, (q15_t)0xF9B8,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x8162, (q15_t)0xED37,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x83D6, (q15_t)0xE0E6,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x877B, (q15_t)0xD4E0,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8C4A, (q15_t)0xC945,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x9235, (q15_t)0xBE31,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9930, (q15_t)0xB3C0,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0xA128, (q15_t)0xAA0A,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAA0A, (q15_t)0xA128,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB3C0, (q15_t)0x9930,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBE31, (q15_t)0x9235,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC945, (q15_t)0x8C4A,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD4E0, (q15_t)0x877B,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xE0E6, (q15_t)0x83D6,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xED37, (q15_t)0x8162,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF9B8, (q15_t)0x8027
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 256, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_256_q15[384] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FF6, (q15_t)0x0324,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FA7, (q15_t)0x096A,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F09, (q15_t)0x0FAB,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E1D, (q15_t)0x15E2,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7CE3, (q15_t)0x1C0B,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7B5D, (q15_t)0x2223,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x798A, (q15_t)0x2826,
+ (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x776C, (q15_t)0x2E11,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x7504, (q15_t)0x33DE,
+ (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7255, (q15_t)0x398C,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6F5F, (q15_t)0x3F17,
+ (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6C24, (q15_t)0x447A,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x68A6, (q15_t)0x49B4,
+ (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x64E8, (q15_t)0x4EBF,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x60EC, (q15_t)0x539B,
+ (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5CB4, (q15_t)0x5842,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5842, (q15_t)0x5CB4,
+ (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x539B, (q15_t)0x60EC,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4EBF, (q15_t)0x64E8,
+ (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x49B4, (q15_t)0x68A6,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x447A, (q15_t)0x6C24,
+ (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x3F17, (q15_t)0x6F5F,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x398C, (q15_t)0x7255,
+ (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x33DE, (q15_t)0x7504,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2E11, (q15_t)0x776C,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2826, (q15_t)0x798A,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2223, (q15_t)0x7B5D,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1C0B, (q15_t)0x7CE3,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x15E2, (q15_t)0x7E1D,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x0FAB, (q15_t)0x7F09,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x096A, (q15_t)0x7FA7,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0324, (q15_t)0x7FF6,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFCDB, (q15_t)0x7FF6,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF695, (q15_t)0x7FA7,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF054, (q15_t)0x7F09,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEA1D, (q15_t)0x7E1D,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE3F4, (q15_t)0x7CE3,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDDDC, (q15_t)0x7B5D,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD7D9, (q15_t)0x798A,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD1EE, (q15_t)0x776C,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCC21, (q15_t)0x7504,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC673, (q15_t)0x7255,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC0E8, (q15_t)0x6F5F,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBB85, (q15_t)0x6C24,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB64B, (q15_t)0x68A6,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB140, (q15_t)0x64E8,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAC64, (q15_t)0x60EC,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA7BD, (q15_t)0x5CB4,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA34B, (q15_t)0x5842,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0x9F13, (q15_t)0x539B,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9B17, (q15_t)0x4EBF,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9759, (q15_t)0x49B4,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x93DB, (q15_t)0x447A,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x90A0, (q15_t)0x3F17,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8DAA, (q15_t)0x398C,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8AFB, (q15_t)0x33DE,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8893, (q15_t)0x2E11,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8675, (q15_t)0x2826,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x84A2, (q15_t)0x2223,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x831C, (q15_t)0x1C0B,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x81E2, (q15_t)0x15E2,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x80F6, (q15_t)0x0FAB,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8058, (q15_t)0x096A,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8009, (q15_t)0x0324,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8009, (q15_t)0xFCDB,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8058, (q15_t)0xF695,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80F6, (q15_t)0xF054,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81E2, (q15_t)0xEA1D,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x831C, (q15_t)0xE3F4,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x84A2, (q15_t)0xDDDC,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8675, (q15_t)0xD7D9,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8893, (q15_t)0xD1EE,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8AFB, (q15_t)0xCC21,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8DAA, (q15_t)0xC673,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x90A0, (q15_t)0xC0E8,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x93DB, (q15_t)0xBB85,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9759, (q15_t)0xB64B,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9B17, (q15_t)0xB140,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9F13, (q15_t)0xAC64,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA34B, (q15_t)0xA7BD,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA7BD, (q15_t)0xA34B,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAC64, (q15_t)0x9F13,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB140, (q15_t)0x9B17,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB64B, (q15_t)0x9759,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBB85, (q15_t)0x93DB,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xC0E8, (q15_t)0x90A0,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC673, (q15_t)0x8DAA,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCC21, (q15_t)0x8AFB,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD1EE, (q15_t)0x8893,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD7D9, (q15_t)0x8675,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDDDC, (q15_t)0x84A2,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE3F4, (q15_t)0x831C,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xEA1D, (q15_t)0x81E2,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xF054, (q15_t)0x80F6,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF695, (q15_t)0x8058,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFCDB, (q15_t)0x8009
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 512, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_512_q15[768] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFD, (q15_t)0x0192,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FE9, (q15_t)0x04B6,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FC2, (q15_t)0x07D9,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F87, (q15_t)0x0AFB,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F38, (q15_t)0x0E1B,
+ (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7ED5, (q15_t)0x1139,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E5F, (q15_t)0x1455,
+ (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DD6, (q15_t)0x176D,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D39, (q15_t)0x1A82,
+ (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7C89, (q15_t)0x1D93,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BC5, (q15_t)0x209F,
+ (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7AEF, (q15_t)0x23A6,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A05, (q15_t)0x26A8,
+ (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x7909, (q15_t)0x29A3,
+ (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x77FA, (q15_t)0x2C98,
+ (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x76D9, (q15_t)0x2F87,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75A5, (q15_t)0x326E,
+ (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x745F, (q15_t)0x354D,
+ (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7307, (q15_t)0x3824,
+ (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x719E, (q15_t)0x3AF2,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7023, (q15_t)0x3DB8,
+ (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6E96, (q15_t)0x4073,
+ (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6CF9, (q15_t)0x4325,
+ (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6B4A, (q15_t)0x45CD,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x698C, (q15_t)0x4869,
+ (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x67BD, (q15_t)0x4AFB,
+ (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x65DD, (q15_t)0x4D81,
+ (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x63EF, (q15_t)0x4FFB,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x61F1, (q15_t)0x5269,
+ (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x5FE3, (q15_t)0x54CA,
+ (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5DC7, (q15_t)0x571D,
+ (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5B9D, (q15_t)0x5964,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5964, (q15_t)0x5B9D,
+ (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x571D, (q15_t)0x5DC7,
+ (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x54CA, (q15_t)0x5FE3,
+ (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5269, (q15_t)0x61F1,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4FFB, (q15_t)0x63EF,
+ (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4D81, (q15_t)0x65DD,
+ (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4AFB, (q15_t)0x67BD,
+ (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4869, (q15_t)0x698C,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x45CD, (q15_t)0x6B4A,
+ (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4325, (q15_t)0x6CF9,
+ (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4073, (q15_t)0x6E96,
+ (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3DB8, (q15_t)0x7023,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3AF2, (q15_t)0x719E,
+ (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3824, (q15_t)0x7307,
+ (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x354D, (q15_t)0x745F,
+ (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x326E, (q15_t)0x75A5,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2F87, (q15_t)0x76D9,
+ (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2C98, (q15_t)0x77FA,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x29A3, (q15_t)0x7909,
+ (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x26A8, (q15_t)0x7A05,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x23A6, (q15_t)0x7AEF,
+ (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x209F, (q15_t)0x7BC5,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1D93, (q15_t)0x7C89,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1A82, (q15_t)0x7D39,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x176D, (q15_t)0x7DD6,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x1455, (q15_t)0x7E5F,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1139, (q15_t)0x7ED5,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0E1B, (q15_t)0x7F38,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0AFB, (q15_t)0x7F87,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x07D9, (q15_t)0x7FC2,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x04B6, (q15_t)0x7FE9,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x0192, (q15_t)0x7FFD,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFE6D, (q15_t)0x7FFD,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFB49, (q15_t)0x7FE9,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF826, (q15_t)0x7FC2,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF504, (q15_t)0x7F87,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF1E4, (q15_t)0x7F38,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEEC6, (q15_t)0x7ED5,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEBAA, (q15_t)0x7E5F,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE892, (q15_t)0x7DD6,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE57D, (q15_t)0x7D39,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE26C, (q15_t)0x7C89,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDF60, (q15_t)0x7BC5,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDC59, (q15_t)0x7AEF,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD957, (q15_t)0x7A05,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD65C, (q15_t)0x7909,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD367, (q15_t)0x77FA,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD078, (q15_t)0x76D9,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCD91, (q15_t)0x75A5,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCAB2, (q15_t)0x745F,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC7DB, (q15_t)0x7307,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC50D, (q15_t)0x719E,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC247, (q15_t)0x7023,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xBF8C, (q15_t)0x6E96,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBCDA, (q15_t)0x6CF9,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBA32, (q15_t)0x6B4A,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB796, (q15_t)0x698C,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB504, (q15_t)0x67BD,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB27E, (q15_t)0x65DD,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB004, (q15_t)0x63EF,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAD96, (q15_t)0x61F1,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAB35, (q15_t)0x5FE3,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA8E2, (q15_t)0x5DC7,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA69B, (q15_t)0x5B9D,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA462, (q15_t)0x5964,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA238, (q15_t)0x571D,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA01C, (q15_t)0x54CA,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E0E, (q15_t)0x5269,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C10, (q15_t)0x4FFB,
+ (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A22, (q15_t)0x4D81,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9842, (q15_t)0x4AFB,
+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x9673, (q15_t)0x4869,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x94B5, (q15_t)0x45CD,
+ (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9306, (q15_t)0x4325,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9169, (q15_t)0x4073,
+ (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x8FDC, (q15_t)0x3DB8,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8E61, (q15_t)0x3AF2,
+ (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8CF8, (q15_t)0x3824,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BA0, (q15_t)0x354D,
+ (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8A5A, (q15_t)0x326E,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8926, (q15_t)0x2F87,
+ (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8805, (q15_t)0x2C98,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x86F6, (q15_t)0x29A3,
+ (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x85FA, (q15_t)0x26A8,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8510, (q15_t)0x23A6,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x843A, (q15_t)0x209F,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x8376, (q15_t)0x1D93,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82C6, (q15_t)0x1A82,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8229, (q15_t)0x176D,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81A0, (q15_t)0x1455,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x812A, (q15_t)0x1139,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80C7, (q15_t)0x0E1B,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8078, (q15_t)0x0AFB,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x803D, (q15_t)0x07D9,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8016, (q15_t)0x04B6,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8002, (q15_t)0x0192,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8002, (q15_t)0xFE6D,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x8016, (q15_t)0xFB49,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x803D, (q15_t)0xF826,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8078, (q15_t)0xF504,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80C7, (q15_t)0xF1E4,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x812A, (q15_t)0xEEC6,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81A0, (q15_t)0xEBAA,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8229, (q15_t)0xE892,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x82C6, (q15_t)0xE57D,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8376, (q15_t)0xE26C,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x843A, (q15_t)0xDF60,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x8510, (q15_t)0xDC59,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85FA, (q15_t)0xD957,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86F6, (q15_t)0xD65C,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8805, (q15_t)0xD367,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x8926, (q15_t)0xD078,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A5A, (q15_t)0xCD91,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8BA0, (q15_t)0xCAB2,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CF8, (q15_t)0xC7DB,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E61, (q15_t)0xC50D,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8FDC, (q15_t)0xC247,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9169, (q15_t)0xBF8C,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9306, (q15_t)0xBCDA,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x94B5, (q15_t)0xBA32,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9673, (q15_t)0xB796,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9842, (q15_t)0xB504,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9A22, (q15_t)0xB27E,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9C10, (q15_t)0xB004,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9E0E, (q15_t)0xAD96,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0xA01C, (q15_t)0xAB35,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA238, (q15_t)0xA8E2,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA462, (q15_t)0xA69B,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA69B, (q15_t)0xA462,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA8E2, (q15_t)0xA238,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAB35, (q15_t)0xA01C,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAD96, (q15_t)0x9E0E,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB004, (q15_t)0x9C10,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB27E, (q15_t)0x9A22,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB504, (q15_t)0x9842,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB796, (q15_t)0x9673,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBA32, (q15_t)0x94B5,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBCDA, (q15_t)0x9306,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBF8C, (q15_t)0x9169,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC247, (q15_t)0x8FDC,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC50D, (q15_t)0x8E61,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC7DB, (q15_t)0x8CF8,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCAB2, (q15_t)0x8BA0,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCD91, (q15_t)0x8A5A,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD078, (q15_t)0x8926,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD367, (q15_t)0x8805,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD65C, (q15_t)0x86F6,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD957, (q15_t)0x85FA,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDC59, (q15_t)0x8510,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDF60, (q15_t)0x843A,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE26C, (q15_t)0x8376,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE57D, (q15_t)0x82C6,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE892, (q15_t)0x8229,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEBAA, (q15_t)0x81A0,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEEC6, (q15_t)0x812A,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF1E4, (q15_t)0x80C7,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF504, (q15_t)0x8078,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF826, (q15_t)0x803D,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFB49, (q15_t)0x8016,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFE6D, (q15_t)0x8002
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 1024, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+
+ */
+const q15_t twiddleCoef_1024_q15[1536] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x00C9,
+ (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFA, (q15_t)0x025B,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF0, (q15_t)0x03ED,
+ (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE1, (q15_t)0x057F,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FCE, (q15_t)0x0710,
+ (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FB5, (q15_t)0x08A2,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F97, (q15_t)0x0A33,
+ (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F75, (q15_t)0x0BC3,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F4D, (q15_t)0x0D53,
+ (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F21, (q15_t)0x0EE3,
+ (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EF0, (q15_t)0x1072,
+ (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EBA, (q15_t)0x1201,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E7F, (q15_t)0x138E,
+ (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E3F, (q15_t)0x151B,
+ (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DFA, (q15_t)0x16A8,
+ (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DB0, (q15_t)0x1833,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D62, (q15_t)0x19BD,
+ (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D0F, (q15_t)0x1B47,
+ (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CB7, (q15_t)0x1CCF,
+ (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C5A, (q15_t)0x1E56,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BF8, (q15_t)0x1FDC,
+ (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7B92, (q15_t)0x2161,
+ (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B26, (q15_t)0x22E5,
+ (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AB6, (q15_t)0x2467,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A42, (q15_t)0x25E8,
+ (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79C8, (q15_t)0x2767,
+ (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x794A, (q15_t)0x28E5,
+ (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78C7, (q15_t)0x2A61,
+ (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7840, (q15_t)0x2BDC,
+ (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77B4, (q15_t)0x2D55,
+ (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7723, (q15_t)0x2ECC,
+ (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x768E, (q15_t)0x3041,
+ (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75F4, (q15_t)0x31B5,
+ (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7555, (q15_t)0x3326,
+ (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74B2, (q15_t)0x3496,
+ (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x740B, (q15_t)0x3604,
+ (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x735F, (q15_t)0x376F,
+ (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72AF, (q15_t)0x38D8,
+ (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x71FA, (q15_t)0x3A40,
+ (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7141, (q15_t)0x3BA5,
+ (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7083, (q15_t)0x3D07,
+ (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FC1, (q15_t)0x3E68,
+ (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6EFB, (q15_t)0x3FC5,
+ (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E30, (q15_t)0x4121,
+ (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D62, (q15_t)0x427A,
+ (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6C8F, (q15_t)0x43D0,
+ (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BB8, (q15_t)0x4524,
+ (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6ADC, (q15_t)0x4675,
+ (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x69FD, (q15_t)0x47C3,
+ (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6919, (q15_t)0x490F,
+ (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6832, (q15_t)0x4A58,
+ (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6746, (q15_t)0x4B9E,
+ (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6657, (q15_t)0x4CE1,
+ (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x6563, (q15_t)0x4E21,
+ (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x646C, (q15_t)0x4F5E,
+ (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x6371, (q15_t)0x5097,
+ (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x6271, (q15_t)0x51CE,
+ (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x616F, (q15_t)0x5302,
+ (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x6068, (q15_t)0x5433,
+ (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5F5E, (q15_t)0x5560,
+ (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E50, (q15_t)0x568A,
+ (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D3E, (q15_t)0x57B0,
+ (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C29, (q15_t)0x58D4,
+ (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B10, (q15_t)0x59F3,
+ (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x59F3, (q15_t)0x5B10,
+ (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x58D4, (q15_t)0x5C29,
+ (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57B0, (q15_t)0x5D3E,
+ (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x568A, (q15_t)0x5E50,
+ (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x5560, (q15_t)0x5F5E,
+ (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x5433, (q15_t)0x6068,
+ (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5302, (q15_t)0x616F,
+ (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x51CE, (q15_t)0x6271,
+ (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x5097, (q15_t)0x6371,
+ (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4F5E, (q15_t)0x646C,
+ (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E21, (q15_t)0x6563,
+ (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4CE1, (q15_t)0x6657,
+ (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4B9E, (q15_t)0x6746,
+ (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4A58, (q15_t)0x6832,
+ (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x490F, (q15_t)0x6919,
+ (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x47C3, (q15_t)0x69FD,
+ (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x4675, (q15_t)0x6ADC,
+ (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4524, (q15_t)0x6BB8,
+ (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x43D0, (q15_t)0x6C8F,
+ (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x427A, (q15_t)0x6D62,
+ (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4121, (q15_t)0x6E30,
+ (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x3FC5, (q15_t)0x6EFB,
+ (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3E68, (q15_t)0x6FC1,
+ (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D07, (q15_t)0x7083,
+ (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BA5, (q15_t)0x7141,
+ (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A40, (q15_t)0x71FA,
+ (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x38D8, (q15_t)0x72AF,
+ (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x376F, (q15_t)0x735F,
+ (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x3604, (q15_t)0x740B,
+ (q15_t)0x354D, (q15_t)0x745F, (q15_t)0x3496, (q15_t)0x74B2,
+ (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3326, (q15_t)0x7555,
+ (q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x31B5, (q15_t)0x75F4,
+ (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x3041, (q15_t)0x768E,
+ (q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2ECC, (q15_t)0x7723,
+ (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2D55, (q15_t)0x77B4,
+ (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2BDC, (q15_t)0x7840,
+ (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2A61, (q15_t)0x78C7,
+ (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x28E5, (q15_t)0x794A,
+ (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x2767, (q15_t)0x79C8,
+ (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x25E8, (q15_t)0x7A42,
+ (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2467, (q15_t)0x7AB6,
+ (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x22E5, (q15_t)0x7B26,
+ (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x2161, (q15_t)0x7B92,
+ (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x1FDC, (q15_t)0x7BF8,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1E56, (q15_t)0x7C5A,
+ (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1CCF, (q15_t)0x7CB7,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1B47, (q15_t)0x7D0F,
+ (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x19BD, (q15_t)0x7D62,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1833, (q15_t)0x7DB0,
+ (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x16A8, (q15_t)0x7DFA,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x151B, (q15_t)0x7E3F,
+ (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x138E, (q15_t)0x7E7F,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1201, (q15_t)0x7EBA,
+ (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1072, (q15_t)0x7EF0,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0EE3, (q15_t)0x7F21,
+ (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0D53, (q15_t)0x7F4D,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0BC3, (q15_t)0x7F75,
+ (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A33, (q15_t)0x7F97,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x08A2, (q15_t)0x7FB5,
+ (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0710, (q15_t)0x7FCE,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x057F, (q15_t)0x7FE1,
+ (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x03ED, (q15_t)0x7FF0,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x025B, (q15_t)0x7FFA,
+ (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x00C9, (q15_t)0x7FFF,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF36, (q15_t)0x7FFF,
+ (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFDA4, (q15_t)0x7FFA,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC12, (q15_t)0x7FF0,
+ (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFA80, (q15_t)0x7FE1,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF8EF, (q15_t)0x7FCE,
+ (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF75D, (q15_t)0x7FB5,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF5CC, (q15_t)0x7F97,
+ (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF43C, (q15_t)0x7F75,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF2AC, (q15_t)0x7F4D,
+ (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF11C, (q15_t)0x7F21,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEF8D, (q15_t)0x7EF0,
+ (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEDFE, (q15_t)0x7EBA,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEC71, (q15_t)0x7E7F,
+ (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEAE4, (q15_t)0x7E3F,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE957, (q15_t)0x7DFA,
+ (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE7CC, (q15_t)0x7DB0,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE642, (q15_t)0x7D62,
+ (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE4B8, (q15_t)0x7D0F,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE330, (q15_t)0x7CB7,
+ (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE1A9, (q15_t)0x7C5A,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE023, (q15_t)0x7BF8,
+ (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDE9E, (q15_t)0x7B92,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD1A, (q15_t)0x7B26,
+ (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDB98, (q15_t)0x7AB6,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA17, (q15_t)0x7A42,
+ (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD898, (q15_t)0x79C8,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD71A, (q15_t)0x794A,
+ (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD59E, (q15_t)0x78C7,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD423, (q15_t)0x7840,
+ (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD2AA, (q15_t)0x77B4,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD133, (q15_t)0x7723,
+ (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xCFBE, (q15_t)0x768E,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCE4A, (q15_t)0x75F4,
+ (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCCD9, (q15_t)0x7555,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCB69, (q15_t)0x74B2,
+ (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xC9FB, (q15_t)0x740B,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC890, (q15_t)0x735F,
+ (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC727, (q15_t)0x72AF,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC5BF, (q15_t)0x71FA,
+ (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC45A, (q15_t)0x7141,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC2F8, (q15_t)0x7083,
+ (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC197, (q15_t)0x6FC1,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC03A, (q15_t)0x6EFB,
+ (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBEDE, (q15_t)0x6E30,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBD85, (q15_t)0x6D62,
+ (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC2F, (q15_t)0x6C8F,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBADB, (q15_t)0x6BB8,
+ (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB98A, (q15_t)0x6ADC,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB83C, (q15_t)0x69FD,
+ (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB6F0, (q15_t)0x6919,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5A7, (q15_t)0x6832,
+ (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB461, (q15_t)0x6746,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB31E, (q15_t)0x6657,
+ (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB1DE, (q15_t)0x6563,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0A1, (q15_t)0x646C,
+ (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAF68, (q15_t)0x6371,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE31, (q15_t)0x6271,
+ (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xACFD, (q15_t)0x616F,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xABCC, (q15_t)0x6068,
+ (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAA9F, (q15_t)0x5F5E,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA975, (q15_t)0x5E50,
+ (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA84F, (q15_t)0x5D3E,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA72B, (q15_t)0x5C29,
+ (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA60C, (q15_t)0x5B10,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA4EF, (q15_t)0x59F3,
+ (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA3D6, (q15_t)0x58D4,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA2C1, (q15_t)0x57B0,
+ (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1AF, (q15_t)0x568A,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0A1, (q15_t)0x5560,
+ (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9F97, (q15_t)0x5433,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E90, (q15_t)0x5302,
+ (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9D8E, (q15_t)0x51CE,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C8E, (q15_t)0x5097,
+ (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9B93, (q15_t)0x4F5E,
+ (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A9C, (q15_t)0x4E21,
+ (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99A8, (q15_t)0x4CE1,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98B9, (q15_t)0x4B9E,
+ (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x97CD, (q15_t)0x4A58,
+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x96E6, (q15_t)0x490F,
+ (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x9602, (q15_t)0x47C3,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9523, (q15_t)0x4675,
+ (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x9447, (q15_t)0x4524,
+ (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9370, (q15_t)0x43D0,
+ (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x929D, (q15_t)0x427A,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x91CF, (q15_t)0x4121,
+ (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9104, (q15_t)0x3FC5,
+ (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x903E, (q15_t)0x3E68,
+ (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8F7C, (q15_t)0x3D07,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EBE, (q15_t)0x3BA5,
+ (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E05, (q15_t)0x3A40,
+ (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D50, (q15_t)0x38D8,
+ (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CA0, (q15_t)0x376F,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BF4, (q15_t)0x3604,
+ (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B4D, (q15_t)0x3496,
+ (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AAA, (q15_t)0x3326,
+ (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A0B, (q15_t)0x31B5,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8971, (q15_t)0x3041,
+ (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x88DC, (q15_t)0x2ECC,
+ (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x884B, (q15_t)0x2D55,
+ (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87BF, (q15_t)0x2BDC,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8738, (q15_t)0x2A61,
+ (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86B5, (q15_t)0x28E5,
+ (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8637, (q15_t)0x2767,
+ (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85BD, (q15_t)0x25E8,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8549, (q15_t)0x2467,
+ (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84D9, (q15_t)0x22E5,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x846D, (q15_t)0x2161,
+ (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8407, (q15_t)0x1FDC,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83A5, (q15_t)0x1E56,
+ (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x8348, (q15_t)0x1CCF,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82F0, (q15_t)0x1B47,
+ (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x829D, (q15_t)0x19BD,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x824F, (q15_t)0x1833,
+ (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8205, (q15_t)0x16A8,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81C0, (q15_t)0x151B,
+ (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8180, (q15_t)0x138E,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8145, (q15_t)0x1201,
+ (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x810F, (q15_t)0x1072,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80DE, (q15_t)0x0EE3,
+ (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80B2, (q15_t)0x0D53,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x808A, (q15_t)0x0BC3,
+ (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8068, (q15_t)0x0A33,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x804A, (q15_t)0x08A2,
+ (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8031, (q15_t)0x0710,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x801E, (q15_t)0x057F,
+ (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x800F, (q15_t)0x03ED,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8005, (q15_t)0x025B,
+ (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8000, (q15_t)0x00C9,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF36,
+ (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8005, (q15_t)0xFDA4,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800F, (q15_t)0xFC12,
+ (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801E, (q15_t)0xFA80,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8031, (q15_t)0xF8EF,
+ (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x804A, (q15_t)0xF75D,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8068, (q15_t)0xF5CC,
+ (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x808A, (q15_t)0xF43C,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80B2, (q15_t)0xF2AC,
+ (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80DE, (q15_t)0xF11C,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x810F, (q15_t)0xEF8D,
+ (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8145, (q15_t)0xEDFE,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8180, (q15_t)0xEC71,
+ (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81C0, (q15_t)0xEAE4,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8205, (q15_t)0xE957,
+ (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x824F, (q15_t)0xE7CC,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x829D, (q15_t)0xE642,
+ (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82F0, (q15_t)0xE4B8,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8348, (q15_t)0xE330,
+ (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x83A5, (q15_t)0xE1A9,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x8407, (q15_t)0xE023,
+ (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x846D, (q15_t)0xDE9E,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84D9, (q15_t)0xDD1A,
+ (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x8549, (q15_t)0xDB98,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85BD, (q15_t)0xDA17,
+ (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8637, (q15_t)0xD898,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86B5, (q15_t)0xD71A,
+ (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8738, (q15_t)0xD59E,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x87BF, (q15_t)0xD423,
+ (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x884B, (q15_t)0xD2AA,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88DC, (q15_t)0xD133,
+ (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8971, (q15_t)0xCFBE,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A0B, (q15_t)0xCE4A,
+ (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8AAA, (q15_t)0xCCD9,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B4D, (q15_t)0xCB69,
+ (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BF4, (q15_t)0xC9FB,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CA0, (q15_t)0xC890,
+ (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D50, (q15_t)0xC727,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E05, (q15_t)0xC5BF,
+ (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8EBE, (q15_t)0xC45A,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F7C, (q15_t)0xC2F8,
+ (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x903E, (q15_t)0xC197,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9104, (q15_t)0xC03A,
+ (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x91CF, (q15_t)0xBEDE,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x929D, (q15_t)0xBD85,
+ (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9370, (q15_t)0xBC2F,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9447, (q15_t)0xBADB,
+ (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x9523, (q15_t)0xB98A,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9602, (q15_t)0xB83C,
+ (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96E6, (q15_t)0xB6F0,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x97CD, (q15_t)0xB5A7,
+ (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x98B9, (q15_t)0xB461,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x99A8, (q15_t)0xB31E,
+ (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A9C, (q15_t)0xB1DE,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B93, (q15_t)0xB0A1,
+ (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C8E, (q15_t)0xAF68,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D8E, (q15_t)0xAE31,
+ (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E90, (q15_t)0xACFD,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F97, (q15_t)0xABCC,
+ (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA0A1, (q15_t)0xAA9F,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA1AF, (q15_t)0xA975,
+ (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA2C1, (q15_t)0xA84F,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA3D6, (q15_t)0xA72B,
+ (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4EF, (q15_t)0xA60C,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA60C, (q15_t)0xA4EF,
+ (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA72B, (q15_t)0xA3D6,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA84F, (q15_t)0xA2C1,
+ (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA975, (q15_t)0xA1AF,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA9F, (q15_t)0xA0A1,
+ (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xABCC, (q15_t)0x9F97,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACFD, (q15_t)0x9E90,
+ (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xAE31, (q15_t)0x9D8E,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF68, (q15_t)0x9C8E,
+ (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB0A1, (q15_t)0x9B93,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB1DE, (q15_t)0x9A9C,
+ (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB31E, (q15_t)0x99A8,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB461, (q15_t)0x98B9,
+ (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB5A7, (q15_t)0x97CD,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB6F0, (q15_t)0x96E6,
+ (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB83C, (q15_t)0x9602,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB98A, (q15_t)0x9523,
+ (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBADB, (q15_t)0x9447,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBC2F, (q15_t)0x9370,
+ (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD85, (q15_t)0x929D,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBEDE, (q15_t)0x91CF,
+ (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xC03A, (q15_t)0x9104,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC197, (q15_t)0x903E,
+ (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC2F8, (q15_t)0x8F7C,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC45A, (q15_t)0x8EBE,
+ (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC5BF, (q15_t)0x8E05,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC727, (q15_t)0x8D50,
+ (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC890, (q15_t)0x8CA0,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9FB, (q15_t)0x8BF4,
+ (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB69, (q15_t)0x8B4D,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCCD9, (q15_t)0x8AAA,
+ (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCE4A, (q15_t)0x8A0B,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCFBE, (q15_t)0x8971,
+ (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD133, (q15_t)0x88DC,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD2AA, (q15_t)0x884B,
+ (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD423, (q15_t)0x87BF,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD59E, (q15_t)0x8738,
+ (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD71A, (q15_t)0x86B5,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD898, (q15_t)0x8637,
+ (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xDA17, (q15_t)0x85BD,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB98, (q15_t)0x8549,
+ (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDD1A, (q15_t)0x84D9,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE9E, (q15_t)0x846D,
+ (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xE023, (q15_t)0x8407,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE1A9, (q15_t)0x83A5,
+ (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE330, (q15_t)0x8348,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE4B8, (q15_t)0x82F0,
+ (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE642, (q15_t)0x829D,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE7CC, (q15_t)0x824F,
+ (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE957, (q15_t)0x8205,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEAE4, (q15_t)0x81C0,
+ (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC71, (q15_t)0x8180,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEDFE, (q15_t)0x8145,
+ (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF8D, (q15_t)0x810F,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF11C, (q15_t)0x80DE,
+ (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF2AC, (q15_t)0x80B2,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF43C, (q15_t)0x808A,
+ (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF5CC, (q15_t)0x8068,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF75D, (q15_t)0x804A,
+ (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF8EF, (q15_t)0x8031,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA80, (q15_t)0x801E,
+ (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFC12, (q15_t)0x800F,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFDA4, (q15_t)0x8005,
+ (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFF36, (q15_t)0x8000
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 2048, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_2048_q15[3072] = {
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0064,
+ (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFE, (q15_t)0x012D,
+ (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01F6,
+ (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF8, (q15_t)0x02BF,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF3, (q15_t)0x0388,
+ (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FED, (q15_t)0x0451,
+ (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE5, (q15_t)0x051A,
+ (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDD, (q15_t)0x05E3,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD3, (q15_t)0x06AC,
+ (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FC8, (q15_t)0x0775,
+ (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBC, (q15_t)0x083D,
+ (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FAE, (q15_t)0x0906,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F9F, (q15_t)0x09CE,
+ (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F8F, (q15_t)0x0A97,
+ (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F7E, (q15_t)0x0B5F,
+ (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F6B, (q15_t)0x0C27,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F58, (q15_t)0x0CEF,
+ (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F43, (q15_t)0x0DB7,
+ (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F2D, (q15_t)0x0E7F,
+ (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F15, (q15_t)0x0F47,
+ (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EFD, (q15_t)0x100E,
+ (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE3, (q15_t)0x10D6,
+ (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EC8, (q15_t)0x119D,
+ (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EAB, (q15_t)0x1264,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E8E, (q15_t)0x132B,
+ (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E6F, (q15_t)0x13F2,
+ (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E4F, (q15_t)0x14B8,
+ (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E2E, (q15_t)0x157F,
+ (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E0C, (q15_t)0x1645,
+ (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DE8, (q15_t)0x170A,
+ (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DC3, (q15_t)0x17D0,
+ (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7D9D, (q15_t)0x1896,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D76, (q15_t)0x195B,
+ (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D4E, (q15_t)0x1A20,
+ (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D24, (q15_t)0x1AE4,
+ (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7CF9, (q15_t)0x1BA9,
+ (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CCD, (q15_t)0x1C6D,
+ (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CA0, (q15_t)0x1D31,
+ (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C71, (q15_t)0x1DF5,
+ (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C42, (q15_t)0x1EB8,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C11, (q15_t)0x1F7B,
+ (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BDF, (q15_t)0x203E,
+ (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BAC, (q15_t)0x2100,
+ (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B77, (q15_t)0x21C2,
+ (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B42, (q15_t)0x2284,
+ (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B0B, (q15_t)0x2345,
+ (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AD3, (q15_t)0x2407,
+ (q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7A9A, (q15_t)0x24C7,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A5F, (q15_t)0x2588,
+ (q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A24, (q15_t)0x2648,
+ (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79E7, (q15_t)0x2707,
+ (q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79A9, (q15_t)0x27C7,
+ (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x796A, (q15_t)0x2886,
+ (q15_t)0x794A, (q15_t)0x28E5, (q15_t)0x792A, (q15_t)0x2944,
+ (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78E8, (q15_t)0x2A02,
+ (q15_t)0x78C7, (q15_t)0x2A61, (q15_t)0x78A6, (q15_t)0x2AC0,
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+ (q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1DF5, (q15_t)0x7C71,
+ (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D31, (q15_t)0x7CA0,
+ (q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C6D, (q15_t)0x7CCD,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BA9, (q15_t)0x7CF9,
+ (q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1AE4, (q15_t)0x7D24,
+ (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A20, (q15_t)0x7D4E,
+ (q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x195B, (q15_t)0x7D76,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1896, (q15_t)0x7D9D,
+ (q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x17D0, (q15_t)0x7DC3,
+ (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x170A, (q15_t)0x7DE8,
+ (q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1645, (q15_t)0x7E0C,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x157F, (q15_t)0x7E2E,
+ (q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14B8, (q15_t)0x7E4F,
+ (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x13F2, (q15_t)0x7E6F,
+ (q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x132B, (q15_t)0x7E8E,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1264, (q15_t)0x7EAB,
+ (q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x119D, (q15_t)0x7EC8,
+ (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x10D6, (q15_t)0x7EE3,
+ (q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x100E, (q15_t)0x7EFD,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F47, (q15_t)0x7F15,
+ (q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0E7F, (q15_t)0x7F2D,
+ (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DB7, (q15_t)0x7F43,
+ (q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0CEF, (q15_t)0x7F58,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C27, (q15_t)0x7F6B,
+ (q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B5F, (q15_t)0x7F7E,
+ (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A97, (q15_t)0x7F8F,
+ (q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x09CE, (q15_t)0x7F9F,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0906, (q15_t)0x7FAE,
+ (q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x083D, (q15_t)0x7FBC,
+ (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0775, (q15_t)0x7FC8,
+ (q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06AC, (q15_t)0x7FD3,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x05E3, (q15_t)0x7FDD,
+ (q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x051A, (q15_t)0x7FE5,
+ (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0451, (q15_t)0x7FED,
+ (q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x0388, (q15_t)0x7FF3,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02BF, (q15_t)0x7FF8,
+ (q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x01F6, (q15_t)0x7FFC,
+ (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x012D, (q15_t)0x7FFE,
+ (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF9B, (q15_t)0x7FFF,
+ (q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFED2, (q15_t)0x7FFE,
+ (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE09, (q15_t)0x7FFC,
+ (q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD40, (q15_t)0x7FF8,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC77, (q15_t)0x7FF3,
+ (q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBAE, (q15_t)0x7FED,
+ (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFAE5, (q15_t)0x7FE5,
+ (q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA1C, (q15_t)0x7FDD,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF953, (q15_t)0x7FD3,
+ (q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF88A, (q15_t)0x7FC8,
+ (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7C2, (q15_t)0x7FBC,
+ (q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF6F9, (q15_t)0x7FAE,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF631, (q15_t)0x7F9F,
+ (q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF568, (q15_t)0x7F8F,
+ (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4A0, (q15_t)0x7F7E,
+ (q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF3D8, (q15_t)0x7F6B,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF310, (q15_t)0x7F58,
+ (q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF248, (q15_t)0x7F43,
+ (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF180, (q15_t)0x7F2D,
+ (q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0B8, (q15_t)0x7F15,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEFF1, (q15_t)0x7EFD,
+ (q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF29, (q15_t)0x7EE3,
+ (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE62, (q15_t)0x7EC8,
+ (q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xED9B, (q15_t)0x7EAB,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xECD4, (q15_t)0x7E8E,
+ (q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC0D, (q15_t)0x7E6F,
+ (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB47, (q15_t)0x7E4F,
+ (q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEA80, (q15_t)0x7E2E,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9BA, (q15_t)0x7E0C,
+ (q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE8F5, (q15_t)0x7DE8,
+ (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE82F, (q15_t)0x7DC3,
+ (q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE769, (q15_t)0x7D9D,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6A4, (q15_t)0x7D76,
+ (q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE5DF, (q15_t)0x7D4E,
+ (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE51B, (q15_t)0x7D24,
+ (q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE456, (q15_t)0x7CF9,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE392, (q15_t)0x7CCD,
+ (q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2CE, (q15_t)0x7CA0,
+ (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE20A, (q15_t)0x7C71,
+ (q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE147, (q15_t)0x7C42,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE084, (q15_t)0x7C11,
+ (q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFC1, (q15_t)0x7BDF,
+ (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDEFF, (q15_t)0x7BAC,
+ (q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE3D, (q15_t)0x7B77,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD7B, (q15_t)0x7B42,
+ (q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCBA, (q15_t)0x7B0B,
+ (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDBF8, (q15_t)0x7AD3,
+ (q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB38, (q15_t)0x7A9A,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA77, (q15_t)0x7A5F,
+ (q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9B7, (q15_t)0x7A24,
+ (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD8F8, (q15_t)0x79E7,
+ (q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD838, (q15_t)0x79A9,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD779, (q15_t)0x796A,
+ (q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6BB, (q15_t)0x792A,
+ (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD5FD, (q15_t)0x78E8,
+ (q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD53F, (q15_t)0x78A6,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD482, (q15_t)0x7862,
+ (q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3C5, (q15_t)0x781D,
+ (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD308, (q15_t)0x77D7,
+ (q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD24C, (q15_t)0x7790,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD191, (q15_t)0x7747,
+ (q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD0D6, (q15_t)0x76FE,
+ (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD01B, (q15_t)0x76B3,
+ (q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF61, (q15_t)0x7668,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCEA7, (q15_t)0x761B,
+ (q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCDEE, (q15_t)0x75CC,
+ (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD35, (q15_t)0x757D,
+ (q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCC7D, (q15_t)0x752D,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBC5, (q15_t)0x74DB,
+ (q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB0D, (q15_t)0x7489,
+ (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA57, (q15_t)0x7435,
+ (q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9A0, (q15_t)0x73E0,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC8EB, (q15_t)0x738A,
+ (q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC835, (q15_t)0x7333,
+ (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC781, (q15_t)0x72DB,
+ (q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6CD, (q15_t)0x7282,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC619, (q15_t)0x7227,
+ (q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC566, (q15_t)0x71CC,
+ (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4B3, (q15_t)0x716F,
+ (q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC402, (q15_t)0x7112,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC350, (q15_t)0x70B3,
+ (q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC29F, (q15_t)0x7053,
+ (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC1EF, (q15_t)0x6FF2,
+ (q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC140, (q15_t)0x6F90,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC091, (q15_t)0x6F2D,
+ (q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xBFE2, (q15_t)0x6EC9,
+ (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF35, (q15_t)0x6E63,
+ (q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBE88, (q15_t)0x6DFD,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBDDB, (q15_t)0x6D96,
+ (q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD2F, (q15_t)0x6D2D,
+ (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC84, (q15_t)0x6CC4,
+ (q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBBDA, (q15_t)0x6C59,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB30, (q15_t)0x6BEE,
+ (q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBA87, (q15_t)0x6B81,
+ (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB9DE, (q15_t)0x6B13,
+ (q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB936, (q15_t)0x6AA5,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB88F, (q15_t)0x6A35,
+ (q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB7E9, (q15_t)0x69C4,
+ (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB743, (q15_t)0x6953,
+ (q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB69E, (q15_t)0x68E0,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5F9, (q15_t)0x686C,
+ (q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB556, (q15_t)0x67F7,
+ (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4B3, (q15_t)0x6782,
+ (q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB410, (q15_t)0x670B,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB36F, (q15_t)0x6693,
+ (q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2CE, (q15_t)0x661A,
+ (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB22E, (q15_t)0x65A0,
+ (q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB18F, (q15_t)0x6526,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0F0, (q15_t)0x64AA,
+ (q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB053, (q15_t)0x642D,
+ (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFB6, (q15_t)0x63B0,
+ (q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF1A, (q15_t)0x6331,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE7E, (q15_t)0x62B2,
+ (q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xADE3, (q15_t)0x6231,
+ (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD4A, (q15_t)0x61B0,
+ (q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACB1, (q15_t)0x612D,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC18, (q15_t)0x60AA,
+ (q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xAB81, (q15_t)0x6026,
+ (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAAEA, (q15_t)0x5FA0,
+ (q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA54, (q15_t)0x5F1A,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9BF, (q15_t)0x5E93,
+ (q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA92B, (q15_t)0x5E0B,
+ (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA898, (q15_t)0x5D83,
+ (q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA806, (q15_t)0x5CF9,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA774, (q15_t)0x5C6E,
+ (q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA6E3, (q15_t)0x5BE3,
+ (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA653, (q15_t)0x5B56,
+ (q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5C4, (q15_t)0x5AC9,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA536, (q15_t)0x5A3B,
+ (q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4A9, (q15_t)0x59AC,
+ (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA41C, (q15_t)0x591C,
+ (q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA391, (q15_t)0x588B,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA306, (q15_t)0x57F9,
+ (q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA27C, (q15_t)0x5767,
+ (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1F4, (q15_t)0x56D4,
+ (q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA16C, (q15_t)0x5640,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0E5, (q15_t)0x55AB,
+ (q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA05F, (q15_t)0x5515,
+ (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FD9, (q15_t)0x547E,
+ (q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F55, (q15_t)0x53E7,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9ED2, (q15_t)0x534E,
+ (q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E4F, (q15_t)0x52B5,
+ (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9DCE, (q15_t)0x521C,
+ (q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D4D, (q15_t)0x5181,
+ (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9CCE, (q15_t)0x50E5,
+ (q15_t)0x9C8E, (q15_t)0x5097, (q15_t)0x9C4F, (q15_t)0x5049,
+ (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9BD2, (q15_t)0x4FAC,
+ (q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B55, (q15_t)0x4F0F,
+ (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9AD9, (q15_t)0x4E70,
+ (q15_t)0x9A9C, (q15_t)0x4E21, (q15_t)0x9A5F, (q15_t)0x4DD1,
+ (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99E5, (q15_t)0x4D31,
+ (q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x996C, (q15_t)0x4C90,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98F4, (q15_t)0x4BEF,
+ (q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x987D, (q15_t)0x4B4C,
+ (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9808, (q15_t)0x4AA9,
+ (q15_t)0x97CD, (q15_t)0x4A58, (q15_t)0x9793, (q15_t)0x4A06,
+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x971F, (q15_t)0x4961,
+ (q15_t)0x96E6, (q15_t)0x490F, (q15_t)0x96AC, (q15_t)0x48BC,
+ (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x963B, (q15_t)0x4816,
+ (q15_t)0x9602, (q15_t)0x47C3, (q15_t)0x95CA, (q15_t)0x4770,
+ (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x955A, (q15_t)0x46C9,
+ (q15_t)0x9523, (q15_t)0x4675, (q15_t)0x94EC, (q15_t)0x4621,
+ (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x947E, (q15_t)0x4578,
+ (q15_t)0x9447, (q15_t)0x4524, (q15_t)0x9411, (q15_t)0x44CF,
+ (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x93A6, (q15_t)0x4425,
+ (q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x933B, (q15_t)0x437B,
+ (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x92D2, (q15_t)0x42D0,
+ (q15_t)0x929D, (q15_t)0x427A, (q15_t)0x9269, (q15_t)0x4224,
+ (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9202, (q15_t)0x4177,
+ (q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x919C, (q15_t)0x40CA,
+ (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9136, (q15_t)0x401D,
+ (q15_t)0x9104, (q15_t)0x3FC5, (q15_t)0x90D2, (q15_t)0x3F6E,
+ (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x906F, (q15_t)0x3EBF,
+ (q15_t)0x903E, (q15_t)0x3E68, (q15_t)0x900D, (q15_t)0x3E10,
+ (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8FAC, (q15_t)0x3D60,
+ (q15_t)0x8F7C, (q15_t)0x3D07, (q15_t)0x8F4C, (q15_t)0x3CAF,
+ (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EED, (q15_t)0x3BFD,
+ (q15_t)0x8EBE, (q15_t)0x3BA5, (q15_t)0x8E90, (q15_t)0x3B4C,
+ (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E33, (q15_t)0x3A99,
+ (q15_t)0x8E05, (q15_t)0x3A40, (q15_t)0x8DD8, (q15_t)0x39E6,
+ (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D7D, (q15_t)0x3932,
+ (q15_t)0x8D50, (q15_t)0x38D8, (q15_t)0x8D24, (q15_t)0x387E,
+ (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CCC, (q15_t)0x37CA,
+ (q15_t)0x8CA0, (q15_t)0x376F, (q15_t)0x8C75, (q15_t)0x3714,
+ (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8C1F, (q15_t)0x365F,
+ (q15_t)0x8BF4, (q15_t)0x3604, (q15_t)0x8BCA, (q15_t)0x35A8,
+ (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B76, (q15_t)0x34F2,
+ (q15_t)0x8B4D, (q15_t)0x3496, (q15_t)0x8B24, (q15_t)0x343A,
+ (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AD2, (q15_t)0x3382,
+ (q15_t)0x8AAA, (q15_t)0x3326, (q15_t)0x8A82, (q15_t)0x32CA,
+ (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A33, (q15_t)0x3211,
+ (q15_t)0x8A0B, (q15_t)0x31B5, (q15_t)0x89E4, (q15_t)0x3158,
+ (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8997, (q15_t)0x309E,
+ (q15_t)0x8971, (q15_t)0x3041, (q15_t)0x894C, (q15_t)0x2FE4,
+ (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x8901, (q15_t)0x2F29,
+ (q15_t)0x88DC, (q15_t)0x2ECC, (q15_t)0x88B8, (q15_t)0x2E6E,
+ (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x886F, (q15_t)0x2DB3,
+ (q15_t)0x884B, (q15_t)0x2D55, (q15_t)0x8828, (q15_t)0x2CF7,
+ (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87E2, (q15_t)0x2C3A,
+ (q15_t)0x87BF, (q15_t)0x2BDC, (q15_t)0x879D, (q15_t)0x2B7D,
+ (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8759, (q15_t)0x2AC0,
+ (q15_t)0x8738, (q15_t)0x2A61, (q15_t)0x8717, (q15_t)0x2A02,
+ (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86D5, (q15_t)0x2944,
+ (q15_t)0x86B5, (q15_t)0x28E5, (q15_t)0x8695, (q15_t)0x2886,
+ (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8656, (q15_t)0x27C7,
+ (q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8618, (q15_t)0x2707,
+ (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85DB, (q15_t)0x2648,
+ (q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85A0, (q15_t)0x2588,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8565, (q15_t)0x24C7,
+ (q15_t)0x8549, (q15_t)0x2467, (q15_t)0x852C, (q15_t)0x2407,
+ (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84F4, (q15_t)0x2345,
+ (q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84BD, (q15_t)0x2284,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8488, (q15_t)0x21C2,
+ (q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8453, (q15_t)0x2100,
+ (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8420, (q15_t)0x203E,
+ (q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83EE, (q15_t)0x1F7B,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83BD, (q15_t)0x1EB8,
+ (q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x838E, (q15_t)0x1DF5,
+ (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x835F, (q15_t)0x1D31,
+ (q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x8332, (q15_t)0x1C6D,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8306, (q15_t)0x1BA9,
+ (q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82DB, (q15_t)0x1AE4,
+ (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82B1, (q15_t)0x1A20,
+ (q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8289, (q15_t)0x195B,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8262, (q15_t)0x1896,
+ (q15_t)0x824F, (q15_t)0x1833, (q15_t)0x823C, (q15_t)0x17D0,
+ (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8217, (q15_t)0x170A,
+ (q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81F3, (q15_t)0x1645,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D1, (q15_t)0x157F,
+ (q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B0, (q15_t)0x14B8,
+ (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8190, (q15_t)0x13F2,
+ (q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8171, (q15_t)0x132B,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8154, (q15_t)0x1264,
+ (q15_t)0x8145, (q15_t)0x1201, (q15_t)0x8137, (q15_t)0x119D,
+ (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x811C, (q15_t)0x10D6,
+ (q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8102, (q15_t)0x100E,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80EA, (q15_t)0x0F47,
+ (q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D2, (q15_t)0x0E7F,
+ (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80BC, (q15_t)0x0DB7,
+ (q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80A7, (q15_t)0x0CEF,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8094, (q15_t)0x0C27,
+ (q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8081, (q15_t)0x0B5F,
+ (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8070, (q15_t)0x0A97,
+ (q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8060, (q15_t)0x09CE,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8051, (q15_t)0x0906,
+ (q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8043, (q15_t)0x083D,
+ (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8037, (q15_t)0x0775,
+ (q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802C, (q15_t)0x06AC,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8022, (q15_t)0x05E3,
+ (q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801A, (q15_t)0x051A,
+ (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8012, (q15_t)0x0451,
+ (q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800C, (q15_t)0x0388,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8007, (q15_t)0x02BF,
+ (q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8003, (q15_t)0x01F6,
+ (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x012D,
+ (q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0064,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF9B,
+ (q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8001, (q15_t)0xFED2,
+ (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE09,
+ (q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8007, (q15_t)0xFD40,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800C, (q15_t)0xFC77,
+ (q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8012, (q15_t)0xFBAE,
+ (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801A, (q15_t)0xFAE5,
+ (q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8022, (q15_t)0xFA1C,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x802C, (q15_t)0xF953,
+ (q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8037, (q15_t)0xF88A,
+ (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8043, (q15_t)0xF7C2,
+ (q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x8051, (q15_t)0xF6F9,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8060, (q15_t)0xF631,
+ (q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x8070, (q15_t)0xF568,
+ (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x8081, (q15_t)0xF4A0,
+ (q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x8094, (q15_t)0xF3D8,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A7, (q15_t)0xF310,
+ (q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80BC, (q15_t)0xF248,
+ (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80D2, (q15_t)0xF180,
+ (q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80EA, (q15_t)0xF0B8,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x8102, (q15_t)0xEFF1,
+ (q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x811C, (q15_t)0xEF29,
+ (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8137, (q15_t)0xEE62,
+ (q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x8154, (q15_t)0xED9B,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8171, (q15_t)0xECD4,
+ (q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8190, (q15_t)0xEC0D,
+ (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81B0, (q15_t)0xEB47,
+ (q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81D1, (q15_t)0xEA80,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81F3, (q15_t)0xE9BA,
+ (q15_t)0x8205, (q15_t)0xE957, (q15_t)0x8217, (q15_t)0xE8F5,
+ (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x823C, (q15_t)0xE82F,
+ (q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8262, (q15_t)0xE769,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8289, (q15_t)0xE6A4,
+ (q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82B1, (q15_t)0xE5DF,
+ (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82DB, (q15_t)0xE51B,
+ (q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x8306, (q15_t)0xE456,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8332, (q15_t)0xE392,
+ (q15_t)0x8348, (q15_t)0xE330, (q15_t)0x835F, (q15_t)0xE2CE,
+ (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x838E, (q15_t)0xE20A,
+ (q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83BD, (q15_t)0xE147,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83EE, (q15_t)0xE084,
+ (q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8420, (q15_t)0xDFC1,
+ (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8453, (q15_t)0xDEFF,
+ (q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x8488, (q15_t)0xDE3D,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84BD, (q15_t)0xDD7B,
+ (q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84F4, (q15_t)0xDCBA,
+ (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x852C, (q15_t)0xDBF8,
+ (q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8565, (q15_t)0xDB38,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85A0, (q15_t)0xDA77,
+ (q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85DB, (q15_t)0xD9B7,
+ (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8618, (q15_t)0xD8F8,
+ (q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8656, (q15_t)0xD838,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8695, (q15_t)0xD779,
+ (q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86D5, (q15_t)0xD6BB,
+ (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8717, (q15_t)0xD5FD,
+ (q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8759, (q15_t)0xD53F,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x879D, (q15_t)0xD482,
+ (q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87E2, (q15_t)0xD3C5,
+ (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8828, (q15_t)0xD308,
+ (q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x886F, (q15_t)0xD24C,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88B8, (q15_t)0xD191,
+ (q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x8901, (q15_t)0xD0D6,
+ (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x894C, (q15_t)0xD01B,
+ (q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8997, (q15_t)0xCF61,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89E4, (q15_t)0xCEA7,
+ (q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A33, (q15_t)0xCDEE,
+ (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A82, (q15_t)0xCD35,
+ (q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8AD2, (q15_t)0xCC7D,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B24, (q15_t)0xCBC5,
+ (q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B76, (q15_t)0xCB0D,
+ (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BCA, (q15_t)0xCA57,
+ (q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C1F, (q15_t)0xC9A0,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C75, (q15_t)0xC8EB,
+ (q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CCC, (q15_t)0xC835,
+ (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D24, (q15_t)0xC781,
+ (q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D7D, (q15_t)0xC6CD,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DD8, (q15_t)0xC619,
+ (q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E33, (q15_t)0xC566,
+ (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E90, (q15_t)0xC4B3,
+ (q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8EED, (q15_t)0xC402,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F4C, (q15_t)0xC350,
+ (q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8FAC, (q15_t)0xC29F,
+ (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x900D, (q15_t)0xC1EF,
+ (q15_t)0x903E, (q15_t)0xC197, (q15_t)0x906F, (q15_t)0xC140,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90D2, (q15_t)0xC091,
+ (q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x9136, (q15_t)0xBFE2,
+ (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x919C, (q15_t)0xBF35,
+ (q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x9202, (q15_t)0xBE88,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9269, (q15_t)0xBDDB,
+ (q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92D2, (q15_t)0xBD2F,
+ (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x933B, (q15_t)0xBC84,
+ (q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x93A6, (q15_t)0xBBDA,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9411, (q15_t)0xBB30,
+ (q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x947E, (q15_t)0xBA87,
+ (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94EC, (q15_t)0xB9DE,
+ (q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x955A, (q15_t)0xB936,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95CA, (q15_t)0xB88F,
+ (q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x963B, (q15_t)0xB7E9,
+ (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96AC, (q15_t)0xB743,
+ (q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x971F, (q15_t)0xB69E,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9793, (q15_t)0xB5F9,
+ (q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x9808, (q15_t)0xB556,
+ (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x987D, (q15_t)0xB4B3,
+ (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98F4, (q15_t)0xB410,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x996C, (q15_t)0xB36F,
+ (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99E5, (q15_t)0xB2CE,
+ (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A5F, (q15_t)0xB22E,
+ (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9AD9, (q15_t)0xB18F,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B55, (q15_t)0xB0F0,
+ (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BD2, (q15_t)0xB053,
+ (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C4F, (q15_t)0xAFB6,
+ (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CCE, (q15_t)0xAF1A,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D4D, (q15_t)0xAE7E,
+ (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DCE, (q15_t)0xADE3,
+ (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E4F, (q15_t)0xAD4A,
+ (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9ED2, (q15_t)0xACB1,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F55, (q15_t)0xAC18,
+ (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FD9, (q15_t)0xAB81,
+ (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA05F, (q15_t)0xAAEA,
+ (q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0E5, (q15_t)0xAA54,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA16C, (q15_t)0xA9BF,
+ (q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1F4, (q15_t)0xA92B,
+ (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA27C, (q15_t)0xA898,
+ (q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA306, (q15_t)0xA806,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA391, (q15_t)0xA774,
+ (q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA41C, (q15_t)0xA6E3,
+ (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4A9, (q15_t)0xA653,
+ (q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA536, (q15_t)0xA5C4,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5C4, (q15_t)0xA536,
+ (q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA653, (q15_t)0xA4A9,
+ (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6E3, (q15_t)0xA41C,
+ (q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA774, (q15_t)0xA391,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA806, (q15_t)0xA306,
+ (q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA898, (q15_t)0xA27C,
+ (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA92B, (q15_t)0xA1F4,
+ (q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA9BF, (q15_t)0xA16C,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA54, (q15_t)0xA0E5,
+ (q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAEA, (q15_t)0xA05F,
+ (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB81, (q15_t)0x9FD9,
+ (q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xAC18, (q15_t)0x9F55,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACB1, (q15_t)0x9ED2,
+ (q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD4A, (q15_t)0x9E4F,
+ (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADE3, (q15_t)0x9DCE,
+ (q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE7E, (q15_t)0x9D4D,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF1A, (q15_t)0x9CCE,
+ (q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAFB6, (q15_t)0x9C4F,
+ (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB053, (q15_t)0x9BD2,
+ (q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0F0, (q15_t)0x9B55,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB18F, (q15_t)0x9AD9,
+ (q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB22E, (q15_t)0x9A5F,
+ (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2CE, (q15_t)0x99E5,
+ (q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB36F, (q15_t)0x996C,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB410, (q15_t)0x98F4,
+ (q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB4B3, (q15_t)0x987D,
+ (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB556, (q15_t)0x9808,
+ (q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5F9, (q15_t)0x9793,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB69E, (q15_t)0x971F,
+ (q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB743, (q15_t)0x96AC,
+ (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7E9, (q15_t)0x963B,
+ (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB88F, (q15_t)0x95CA,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB936, (q15_t)0x955A,
+ (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9DE, (q15_t)0x94EC,
+ (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA87, (q15_t)0x947E,
+ (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB30, (q15_t)0x9411,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBDA, (q15_t)0x93A6,
+ (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC84, (q15_t)0x933B,
+ (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD2F, (q15_t)0x92D2,
+ (q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDDB, (q15_t)0x9269,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE88, (q15_t)0x9202,
+ (q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF35, (q15_t)0x919C,
+ (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFE2, (q15_t)0x9136,
+ (q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC091, (q15_t)0x90D2,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC140, (q15_t)0x906F,
+ (q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1EF, (q15_t)0x900D,
+ (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC29F, (q15_t)0x8FAC,
+ (q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC350, (q15_t)0x8F4C,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC402, (q15_t)0x8EED,
+ (q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC4B3, (q15_t)0x8E90,
+ (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC566, (q15_t)0x8E33,
+ (q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC619, (q15_t)0x8DD8,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6CD, (q15_t)0x8D7D,
+ (q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC781, (q15_t)0x8D24,
+ (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC835, (q15_t)0x8CCC,
+ (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8EB, (q15_t)0x8C75,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9A0, (q15_t)0x8C1F,
+ (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA57, (q15_t)0x8BCA,
+ (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB0D, (q15_t)0x8B76,
+ (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCBC5, (q15_t)0x8B24,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC7D, (q15_t)0x8AD2,
+ (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD35, (q15_t)0x8A82,
+ (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDEE, (q15_t)0x8A33,
+ (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCEA7, (q15_t)0x89E4,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF61, (q15_t)0x8997,
+ (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xD01B, (q15_t)0x894C,
+ (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0D6, (q15_t)0x8901,
+ (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD191, (q15_t)0x88B8,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD24C, (q15_t)0x886F,
+ (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD308, (q15_t)0x8828,
+ (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD3C5, (q15_t)0x87E2,
+ (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD482, (q15_t)0x879D,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD53F, (q15_t)0x8759,
+ (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5FD, (q15_t)0x8717,
+ (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD6BB, (q15_t)0x86D5,
+ (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD779, (q15_t)0x8695,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD838, (q15_t)0x8656,
+ (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8F8, (q15_t)0x8618,
+ (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD9B7, (q15_t)0x85DB,
+ (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA77, (q15_t)0x85A0,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB38, (q15_t)0x8565,
+ (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBF8, (q15_t)0x852C,
+ (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDCBA, (q15_t)0x84F4,
+ (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD7B, (q15_t)0x84BD,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE3D, (q15_t)0x8488,
+ (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDEFF, (q15_t)0x8453,
+ (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDFC1, (q15_t)0x8420,
+ (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE084, (q15_t)0x83EE,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE147, (q15_t)0x83BD,
+ (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE20A, (q15_t)0x838E,
+ (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE2CE, (q15_t)0x835F,
+ (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE392, (q15_t)0x8332,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE456, (q15_t)0x8306,
+ (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE51B, (q15_t)0x82DB,
+ (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5DF, (q15_t)0x82B1,
+ (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE6A4, (q15_t)0x8289,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE769, (q15_t)0x8262,
+ (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE82F, (q15_t)0x823C,
+ (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8F5, (q15_t)0x8217,
+ (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE9BA, (q15_t)0x81F3,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA80, (q15_t)0x81D1,
+ (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB47, (q15_t)0x81B0,
+ (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC0D, (q15_t)0x8190,
+ (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECD4, (q15_t)0x8171,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED9B, (q15_t)0x8154,
+ (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE62, (q15_t)0x8137,
+ (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF29, (q15_t)0x811C,
+ (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFF1, (q15_t)0x8102,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF0B8, (q15_t)0x80EA,
+ (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF180, (q15_t)0x80D2,
+ (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF248, (q15_t)0x80BC,
+ (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF310, (q15_t)0x80A7,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3D8, (q15_t)0x8094,
+ (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF4A0, (q15_t)0x8081,
+ (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF568, (q15_t)0x8070,
+ (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF631, (q15_t)0x8060,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6F9, (q15_t)0x8051,
+ (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF7C2, (q15_t)0x8043,
+ (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF88A, (q15_t)0x8037,
+ (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF953, (q15_t)0x802C,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA1C, (q15_t)0x8022,
+ (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAE5, (q15_t)0x801A,
+ (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFBAE, (q15_t)0x8012,
+ (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC77, (q15_t)0x800C,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD40, (q15_t)0x8007,
+ (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFE09, (q15_t)0x8003,
+ (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFED2, (q15_t)0x8001,
+ (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096)
+/**
+ @par
+ Example code for q15 Twiddle factors Generation::
+ @par
+ for (i = 0; i< 3N/4; i++)
+ {
+ twiddleCoefq15[2*i] = cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+ }
+ @par
+ where N = 4096, PI = 3.14159265358979
+ @par
+ Cos and Sin values are interleaved fashion
+ @par
+ Convert Floating point to q15(Fixed point 1.15):
+ round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_4096_q15[6144] =
+{
+ (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0032,
+ (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0096,
+ (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x00FB,
+ (q15_t)0x7FFE, (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x015F,
+ (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01C4,
+ (q15_t)0x7FFC, (q15_t)0x01F6, (q15_t)0x7FFB, (q15_t)0x0228,
+ (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF9, (q15_t)0x028D,
+ (q15_t)0x7FF8, (q15_t)0x02BF, (q15_t)0x7FF7, (q15_t)0x02F1,
+ (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF4, (q15_t)0x0356,
+ (q15_t)0x7FF3, (q15_t)0x0388, (q15_t)0x7FF2, (q15_t)0x03BA,
+ (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FEE, (q15_t)0x041F,
+ (q15_t)0x7FED, (q15_t)0x0451, (q15_t)0x7FEB, (q15_t)0x0483,
+ (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE7, (q15_t)0x04E8,
+ (q15_t)0x7FE5, (q15_t)0x051A, (q15_t)0x7FE3, (q15_t)0x054C,
+ (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDF, (q15_t)0x05B1,
+ (q15_t)0x7FDD, (q15_t)0x05E3, (q15_t)0x7FDA, (q15_t)0x0615,
+ (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD6, (q15_t)0x067A,
+ (q15_t)0x7FD3, (q15_t)0x06AC, (q15_t)0x7FD0, (q15_t)0x06DE,
+ (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FCB, (q15_t)0x0742,
+ (q15_t)0x7FC8, (q15_t)0x0775, (q15_t)0x7FC5, (q15_t)0x07A7,
+ (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBF, (q15_t)0x080B,
+ (q15_t)0x7FBC, (q15_t)0x083D, (q15_t)0x7FB8, (q15_t)0x086F,
+ (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FB1, (q15_t)0x08D4,
+ (q15_t)0x7FAE, (q15_t)0x0906, (q15_t)0x7FAA, (q15_t)0x0938,
+ (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7FA3, (q15_t)0x099C,
+ (q15_t)0x7F9F, (q15_t)0x09CE, (q15_t)0x7F9B, (q15_t)0x0A00,
+ (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F93, (q15_t)0x0A65,
+ (q15_t)0x7F8F, (q15_t)0x0A97, (q15_t)0x7F8B, (q15_t)0x0AC9,
+ (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F82, (q15_t)0x0B2D,
+ (q15_t)0x7F7E, (q15_t)0x0B5F, (q15_t)0x7F79, (q15_t)0x0B91,
+ (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F70, (q15_t)0x0BF5,
+ (q15_t)0x7F6B, (q15_t)0x0C27, (q15_t)0x7F67, (q15_t)0x0C59,
+ (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F5D, (q15_t)0x0CBD,
+ (q15_t)0x7F58, (q15_t)0x0CEF, (q15_t)0x7F53, (q15_t)0x0D21,
+ (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F48, (q15_t)0x0D85,
+ (q15_t)0x7F43, (q15_t)0x0DB7, (q15_t)0x7F3D, (q15_t)0x0DE9,
+ (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F32, (q15_t)0x0E4D,
+ (q15_t)0x7F2D, (q15_t)0x0E7F, (q15_t)0x7F27, (q15_t)0x0EB1,
+ (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F1B, (q15_t)0x0F15,
+ (q15_t)0x7F15, (q15_t)0x0F47, (q15_t)0x7F0F, (q15_t)0x0F79,
+ (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7F03, (q15_t)0x0FDD,
+ (q15_t)0x7EFD, (q15_t)0x100E, (q15_t)0x7EF6, (q15_t)0x1040,
+ (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE9, (q15_t)0x10A4,
+ (q15_t)0x7EE3, (q15_t)0x10D6, (q15_t)0x7EDC, (q15_t)0x1108,
+ (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7ECF, (q15_t)0x116B,
+ (q15_t)0x7EC8, (q15_t)0x119D, (q15_t)0x7EC1, (q15_t)0x11CF,
+ (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EB3, (q15_t)0x1232,
+ (q15_t)0x7EAB, (q15_t)0x1264, (q15_t)0x7EA4, (q15_t)0x1296,
+ (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E95, (q15_t)0x12F9,
+ (q15_t)0x7E8E, (q15_t)0x132B, (q15_t)0x7E86, (q15_t)0x135D,
+ (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E77, (q15_t)0x13C0,
+ (q15_t)0x7E6F, (q15_t)0x13F2, (q15_t)0x7E67, (q15_t)0x1423,
+ (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E57, (q15_t)0x1487,
+ (q15_t)0x7E4F, (q15_t)0x14B8, (q15_t)0x7E47, (q15_t)0x14EA,
+ (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E37, (q15_t)0x154D,
+ (q15_t)0x7E2E, (q15_t)0x157F, (q15_t)0x7E26, (q15_t)0x15B0,
+ (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E14, (q15_t)0x1613,
+ (q15_t)0x7E0C, (q15_t)0x1645, (q15_t)0x7E03, (q15_t)0x1676,
+ (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DF1, (q15_t)0x16D9,
+ (q15_t)0x7DE8, (q15_t)0x170A, (q15_t)0x7DDF, (q15_t)0x173C,
+ (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DCD, (q15_t)0x179F,
+ (q15_t)0x7DC3, (q15_t)0x17D0, (q15_t)0x7DBA, (q15_t)0x1802,
+ (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7DA7, (q15_t)0x1864,
+ (q15_t)0x7D9D, (q15_t)0x1896, (q15_t)0x7D94, (q15_t)0x18C7,
+ (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D80, (q15_t)0x192A,
+ (q15_t)0x7D76, (q15_t)0x195B, (q15_t)0x7D6C, (q15_t)0x198C,
+ (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D58, (q15_t)0x19EF,
+ (q15_t)0x7D4E, (q15_t)0x1A20, (q15_t)0x7D43, (q15_t)0x1A51,
+ (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D2F, (q15_t)0x1AB3,
+ (q15_t)0x7D24, (q15_t)0x1AE4, (q15_t)0x7D19, (q15_t)0x1B16,
+ (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7D04, (q15_t)0x1B78,
+ (q15_t)0x7CF9, (q15_t)0x1BA9, (q15_t)0x7CEE, (q15_t)0x1BDA,
+ (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CD8, (q15_t)0x1C3C,
+ (q15_t)0x7CCD, (q15_t)0x1C6D, (q15_t)0x7CC2, (q15_t)0x1C9E,
+ (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CAB, (q15_t)0x1D00,
+ (q15_t)0x7CA0, (q15_t)0x1D31, (q15_t)0x7C94, (q15_t)0x1D62,
+ (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C7D, (q15_t)0x1DC4,
+ (q15_t)0x7C71, (q15_t)0x1DF5, (q15_t)0x7C66, (q15_t)0x1E25,
+ (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C4E, (q15_t)0x1E87,
+ (q15_t)0x7C42, (q15_t)0x1EB8, (q15_t)0x7C36, (q15_t)0x1EE9,
+ (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C1D, (q15_t)0x1F4A,
+ (q15_t)0x7C11, (q15_t)0x1F7B, (q15_t)0x7C05, (q15_t)0x1FAC,
+ (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BEB, (q15_t)0x200D,
+ (q15_t)0x7BDF, (q15_t)0x203E, (q15_t)0x7BD2, (q15_t)0x206E,
+ (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BB9, (q15_t)0x20D0,
+ (q15_t)0x7BAC, (q15_t)0x2100, (q15_t)0x7B9F, (q15_t)0x2131,
+ (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B84, (q15_t)0x2192,
+ (q15_t)0x7B77, (q15_t)0x21C2, (q15_t)0x7B6A, (q15_t)0x21F3,
+ (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B4F, (q15_t)0x2254,
+ (q15_t)0x7B42, (q15_t)0x2284, (q15_t)0x7B34, (q15_t)0x22B4,
+ (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B19, (q15_t)0x2315,
+ (q15_t)0x7B0B, (q15_t)0x2345, (q15_t)0x7AFD, (q15_t)0x2376,
+ (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AE1, (q15_t)0x23D6,
+ (q15_t)0x7AD3, (q15_t)0x2407, (q15_t)0x7AC5, (q15_t)0x2437,
+ (q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7AA8, (q15_t)0x2497,
+ (q15_t)0x7A9A, (q15_t)0x24C7, (q15_t)0x7A8B, (q15_t)0x24F7,
+ (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A6E, (q15_t)0x2558,
+ (q15_t)0x7A5F, (q15_t)0x2588, (q15_t)0x7A50, (q15_t)0x25B8,
+ (q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A33, (q15_t)0x2618,
+ (q15_t)0x7A24, (q15_t)0x2648, (q15_t)0x7A15, (q15_t)0x2678,
+ (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79F6, (q15_t)0x26D8,
+ (q15_t)0x79E7, (q15_t)0x2707, (q15_t)0x79D8, (q15_t)0x2737,
+ (q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79B9, (q15_t)0x2797,
+ (q15_t)0x79A9, (q15_t)0x27C7, (q15_t)0x7999, (q15_t)0x27F6,
+ (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x797A, (q15_t)0x2856,
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+ (q15_t)0x203E, (q15_t)0x7BDF, (q15_t)0x200D, (q15_t)0x7BEB,
+ (q15_t)0x1FDC, (q15_t)0x7BF8, (q15_t)0x1FAC, (q15_t)0x7C05,
+ (q15_t)0x1F7B, (q15_t)0x7C11, (q15_t)0x1F4A, (q15_t)0x7C1D,
+ (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1EE9, (q15_t)0x7C36,
+ (q15_t)0x1EB8, (q15_t)0x7C42, (q15_t)0x1E87, (q15_t)0x7C4E,
+ (q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1E25, (q15_t)0x7C66,
+ (q15_t)0x1DF5, (q15_t)0x7C71, (q15_t)0x1DC4, (q15_t)0x7C7D,
+ (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D62, (q15_t)0x7C94,
+ (q15_t)0x1D31, (q15_t)0x7CA0, (q15_t)0x1D00, (q15_t)0x7CAB,
+ (q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C9E, (q15_t)0x7CC2,
+ (q15_t)0x1C6D, (q15_t)0x7CCD, (q15_t)0x1C3C, (q15_t)0x7CD8,
+ (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BDA, (q15_t)0x7CEE,
+ (q15_t)0x1BA9, (q15_t)0x7CF9, (q15_t)0x1B78, (q15_t)0x7D04,
+ (q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1B16, (q15_t)0x7D19,
+ (q15_t)0x1AE4, (q15_t)0x7D24, (q15_t)0x1AB3, (q15_t)0x7D2F,
+ (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A51, (q15_t)0x7D43,
+ (q15_t)0x1A20, (q15_t)0x7D4E, (q15_t)0x19EF, (q15_t)0x7D58,
+ (q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x198C, (q15_t)0x7D6C,
+ (q15_t)0x195B, (q15_t)0x7D76, (q15_t)0x192A, (q15_t)0x7D80,
+ (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x18C7, (q15_t)0x7D94,
+ (q15_t)0x1896, (q15_t)0x7D9D, (q15_t)0x1864, (q15_t)0x7DA7,
+ (q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x1802, (q15_t)0x7DBA,
+ (q15_t)0x17D0, (q15_t)0x7DC3, (q15_t)0x179F, (q15_t)0x7DCD,
+ (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x173C, (q15_t)0x7DDF,
+ (q15_t)0x170A, (q15_t)0x7DE8, (q15_t)0x16D9, (q15_t)0x7DF1,
+ (q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1676, (q15_t)0x7E03,
+ (q15_t)0x1645, (q15_t)0x7E0C, (q15_t)0x1613, (q15_t)0x7E14,
+ (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x15B0, (q15_t)0x7E26,
+ (q15_t)0x157F, (q15_t)0x7E2E, (q15_t)0x154D, (q15_t)0x7E37,
+ (q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14EA, (q15_t)0x7E47,
+ (q15_t)0x14B8, (q15_t)0x7E4F, (q15_t)0x1487, (q15_t)0x7E57,
+ (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x1423, (q15_t)0x7E67,
+ (q15_t)0x13F2, (q15_t)0x7E6F, (q15_t)0x13C0, (q15_t)0x7E77,
+ (q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x135D, (q15_t)0x7E86,
+ (q15_t)0x132B, (q15_t)0x7E8E, (q15_t)0x12F9, (q15_t)0x7E95,
+ (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1296, (q15_t)0x7EA4,
+ (q15_t)0x1264, (q15_t)0x7EAB, (q15_t)0x1232, (q15_t)0x7EB3,
+ (q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x11CF, (q15_t)0x7EC1,
+ (q15_t)0x119D, (q15_t)0x7EC8, (q15_t)0x116B, (q15_t)0x7ECF,
+ (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1108, (q15_t)0x7EDC,
+ (q15_t)0x10D6, (q15_t)0x7EE3, (q15_t)0x10A4, (q15_t)0x7EE9,
+ (q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x1040, (q15_t)0x7EF6,
+ (q15_t)0x100E, (q15_t)0x7EFD, (q15_t)0x0FDD, (q15_t)0x7F03,
+ (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F79, (q15_t)0x7F0F,
+ (q15_t)0x0F47, (q15_t)0x7F15, (q15_t)0x0F15, (q15_t)0x7F1B,
+ (q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0EB1, (q15_t)0x7F27,
+ (q15_t)0x0E7F, (q15_t)0x7F2D, (q15_t)0x0E4D, (q15_t)0x7F32,
+ (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DE9, (q15_t)0x7F3D,
+ (q15_t)0x0DB7, (q15_t)0x7F43, (q15_t)0x0D85, (q15_t)0x7F48,
+ (q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0D21, (q15_t)0x7F53,
+ (q15_t)0x0CEF, (q15_t)0x7F58, (q15_t)0x0CBD, (q15_t)0x7F5D,
+ (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C59, (q15_t)0x7F67,
+ (q15_t)0x0C27, (q15_t)0x7F6B, (q15_t)0x0BF5, (q15_t)0x7F70,
+ (q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B91, (q15_t)0x7F79,
+ (q15_t)0x0B5F, (q15_t)0x7F7E, (q15_t)0x0B2D, (q15_t)0x7F82,
+ (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0AC9, (q15_t)0x7F8B,
+ (q15_t)0x0A97, (q15_t)0x7F8F, (q15_t)0x0A65, (q15_t)0x7F93,
+ (q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x0A00, (q15_t)0x7F9B,
+ (q15_t)0x09CE, (q15_t)0x7F9F, (q15_t)0x099C, (q15_t)0x7FA3,
+ (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0938, (q15_t)0x7FAA,
+ (q15_t)0x0906, (q15_t)0x7FAE, (q15_t)0x08D4, (q15_t)0x7FB1,
+ (q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x086F, (q15_t)0x7FB8,
+ (q15_t)0x083D, (q15_t)0x7FBC, (q15_t)0x080B, (q15_t)0x7FBF,
+ (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x07A7, (q15_t)0x7FC5,
+ (q15_t)0x0775, (q15_t)0x7FC8, (q15_t)0x0742, (q15_t)0x7FCB,
+ (q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06DE, (q15_t)0x7FD0,
+ (q15_t)0x06AC, (q15_t)0x7FD3, (q15_t)0x067A, (q15_t)0x7FD6,
+ (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0615, (q15_t)0x7FDA,
+ (q15_t)0x05E3, (q15_t)0x7FDD, (q15_t)0x05B1, (q15_t)0x7FDF,
+ (q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x054C, (q15_t)0x7FE3,
+ (q15_t)0x051A, (q15_t)0x7FE5, (q15_t)0x04E8, (q15_t)0x7FE7,
+ (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0483, (q15_t)0x7FEB,
+ (q15_t)0x0451, (q15_t)0x7FED, (q15_t)0x041F, (q15_t)0x7FEE,
+ (q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x03BA, (q15_t)0x7FF2,
+ (q15_t)0x0388, (q15_t)0x7FF3, (q15_t)0x0356, (q15_t)0x7FF4,
+ (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02F1, (q15_t)0x7FF7,
+ (q15_t)0x02BF, (q15_t)0x7FF8, (q15_t)0x028D, (q15_t)0x7FF9,
+ (q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x0228, (q15_t)0x7FFB,
+ (q15_t)0x01F6, (q15_t)0x7FFC, (q15_t)0x01C4, (q15_t)0x7FFC,
+ (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x015F, (q15_t)0x7FFE,
+ (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x00FB, (q15_t)0x7FFF,
+ (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0096, (q15_t)0x7FFF,
+ (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0032, (q15_t)0x7FFF,
+ (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFFCD, (q15_t)0x7FFF,
+ (q15_t)0xFF9B, (q15_t)0x7FFF, (q15_t)0xFF69, (q15_t)0x7FFF,
+ (q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFF04, (q15_t)0x7FFF,
+ (q15_t)0xFED2, (q15_t)0x7FFE, (q15_t)0xFEA0, (q15_t)0x7FFE,
+ (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE3B, (q15_t)0x7FFC,
+ (q15_t)0xFE09, (q15_t)0x7FFC, (q15_t)0xFDD7, (q15_t)0x7FFB,
+ (q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD72, (q15_t)0x7FF9,
+ (q15_t)0xFD40, (q15_t)0x7FF8, (q15_t)0xFD0E, (q15_t)0x7FF7,
+ (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFCA9, (q15_t)0x7FF4,
+ (q15_t)0xFC77, (q15_t)0x7FF3, (q15_t)0xFC45, (q15_t)0x7FF2,
+ (q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBE0, (q15_t)0x7FEE,
+ (q15_t)0xFBAE, (q15_t)0x7FED, (q15_t)0xFB7C, (q15_t)0x7FEB,
+ (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFB17, (q15_t)0x7FE7,
+ (q15_t)0xFAE5, (q15_t)0x7FE5, (q15_t)0xFAB3, (q15_t)0x7FE3,
+ (q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA4E, (q15_t)0x7FDF,
+ (q15_t)0xFA1C, (q15_t)0x7FDD, (q15_t)0xF9EA, (q15_t)0x7FDA,
+ (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF985, (q15_t)0x7FD6,
+ (q15_t)0xF953, (q15_t)0x7FD3, (q15_t)0xF921, (q15_t)0x7FD0,
+ (q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF8BD, (q15_t)0x7FCB,
+ (q15_t)0xF88A, (q15_t)0x7FC8, (q15_t)0xF858, (q15_t)0x7FC5,
+ (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7F4, (q15_t)0x7FBF,
+ (q15_t)0xF7C2, (q15_t)0x7FBC, (q15_t)0xF790, (q15_t)0x7FB8,
+ (q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF72B, (q15_t)0x7FB1,
+ (q15_t)0xF6F9, (q15_t)0x7FAE, (q15_t)0xF6C7, (q15_t)0x7FAA,
+ (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF663, (q15_t)0x7FA3,
+ (q15_t)0xF631, (q15_t)0x7F9F, (q15_t)0xF5FF, (q15_t)0x7F9B,
+ (q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF59A, (q15_t)0x7F93,
+ (q15_t)0xF568, (q15_t)0x7F8F, (q15_t)0xF536, (q15_t)0x7F8B,
+ (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4D2, (q15_t)0x7F82,
+ (q15_t)0xF4A0, (q15_t)0x7F7E, (q15_t)0xF46E, (q15_t)0x7F79,
+ (q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF40A, (q15_t)0x7F70,
+ (q15_t)0xF3D8, (q15_t)0x7F6B, (q15_t)0xF3A6, (q15_t)0x7F67,
+ (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF342, (q15_t)0x7F5D,
+ (q15_t)0xF310, (q15_t)0x7F58, (q15_t)0xF2DE, (q15_t)0x7F53,
+ (q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF27A, (q15_t)0x7F48,
+ (q15_t)0xF248, (q15_t)0x7F43, (q15_t)0xF216, (q15_t)0x7F3D,
+ (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF1B2, (q15_t)0x7F32,
+ (q15_t)0xF180, (q15_t)0x7F2D, (q15_t)0xF14E, (q15_t)0x7F27,
+ (q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0EA, (q15_t)0x7F1B,
+ (q15_t)0xF0B8, (q15_t)0x7F15, (q15_t)0xF086, (q15_t)0x7F0F,
+ (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xF022, (q15_t)0x7F03,
+ (q15_t)0xEFF1, (q15_t)0x7EFD, (q15_t)0xEFBF, (q15_t)0x7EF6,
+ (q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF5B, (q15_t)0x7EE9,
+ (q15_t)0xEF29, (q15_t)0x7EE3, (q15_t)0xEEF7, (q15_t)0x7EDC,
+ (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE94, (q15_t)0x7ECF,
+ (q15_t)0xEE62, (q15_t)0x7EC8, (q15_t)0xEE30, (q15_t)0x7EC1,
+ (q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xEDCD, (q15_t)0x7EB3,
+ (q15_t)0xED9B, (q15_t)0x7EAB, (q15_t)0xED69, (q15_t)0x7EA4,
+ (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xED06, (q15_t)0x7E95,
+ (q15_t)0xECD4, (q15_t)0x7E8E, (q15_t)0xECA2, (q15_t)0x7E86,
+ (q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC3F, (q15_t)0x7E77,
+ (q15_t)0xEC0D, (q15_t)0x7E6F, (q15_t)0xEBDC, (q15_t)0x7E67,
+ (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB78, (q15_t)0x7E57,
+ (q15_t)0xEB47, (q15_t)0x7E4F, (q15_t)0xEB15, (q15_t)0x7E47,
+ (q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEAB2, (q15_t)0x7E37,
+ (q15_t)0xEA80, (q15_t)0x7E2E, (q15_t)0xEA4F, (q15_t)0x7E26,
+ (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9EC, (q15_t)0x7E14,
+ (q15_t)0xE9BA, (q15_t)0x7E0C, (q15_t)0xE989, (q15_t)0x7E03,
+ (q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE926, (q15_t)0x7DF1,
+ (q15_t)0xE8F5, (q15_t)0x7DE8, (q15_t)0xE8C3, (q15_t)0x7DDF,
+ (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE860, (q15_t)0x7DCD,
+ (q15_t)0xE82F, (q15_t)0x7DC3, (q15_t)0xE7FD, (q15_t)0x7DBA,
+ (q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE79B, (q15_t)0x7DA7,
+ (q15_t)0xE769, (q15_t)0x7D9D, (q15_t)0xE738, (q15_t)0x7D94,
+ (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6D5, (q15_t)0x7D80,
+ (q15_t)0xE6A4, (q15_t)0x7D76, (q15_t)0xE673, (q15_t)0x7D6C,
+ (q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE610, (q15_t)0x7D58,
+ (q15_t)0xE5DF, (q15_t)0x7D4E, (q15_t)0xE5AE, (q15_t)0x7D43,
+ (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE54C, (q15_t)0x7D2F,
+ (q15_t)0xE51B, (q15_t)0x7D24, (q15_t)0xE4E9, (q15_t)0x7D19,
+ (q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE487, (q15_t)0x7D04,
+ (q15_t)0xE456, (q15_t)0x7CF9, (q15_t)0xE425, (q15_t)0x7CEE,
+ (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE3C3, (q15_t)0x7CD8,
+ (q15_t)0xE392, (q15_t)0x7CCD, (q15_t)0xE361, (q15_t)0x7CC2,
+ (q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2FF, (q15_t)0x7CAB,
+ (q15_t)0xE2CE, (q15_t)0x7CA0, (q15_t)0xE29D, (q15_t)0x7C94,
+ (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE23B, (q15_t)0x7C7D,
+ (q15_t)0xE20A, (q15_t)0x7C71, (q15_t)0xE1DA, (q15_t)0x7C66,
+ (q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE178, (q15_t)0x7C4E,
+ (q15_t)0xE147, (q15_t)0x7C42, (q15_t)0xE116, (q15_t)0x7C36,
+ (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE0B5, (q15_t)0x7C1D,
+ (q15_t)0xE084, (q15_t)0x7C11, (q15_t)0xE053, (q15_t)0x7C05,
+ (q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFF2, (q15_t)0x7BEB,
+ (q15_t)0xDFC1, (q15_t)0x7BDF, (q15_t)0xDF91, (q15_t)0x7BD2,
+ (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDF2F, (q15_t)0x7BB9,
+ (q15_t)0xDEFF, (q15_t)0x7BAC, (q15_t)0xDECE, (q15_t)0x7B9F,
+ (q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE6D, (q15_t)0x7B84,
+ (q15_t)0xDE3D, (q15_t)0x7B77, (q15_t)0xDE0C, (q15_t)0x7B6A,
+ (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDDAB, (q15_t)0x7B4F,
+ (q15_t)0xDD7B, (q15_t)0x7B42, (q15_t)0xDD4B, (q15_t)0x7B34,
+ (q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCEA, (q15_t)0x7B19,
+ (q15_t)0xDCBA, (q15_t)0x7B0B, (q15_t)0xDC89, (q15_t)0x7AFD,
+ (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDC29, (q15_t)0x7AE1,
+ (q15_t)0xDBF8, (q15_t)0x7AD3, (q15_t)0xDBC8, (q15_t)0x7AC5,
+ (q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB68, (q15_t)0x7AA8,
+ (q15_t)0xDB38, (q15_t)0x7A9A, (q15_t)0xDB08, (q15_t)0x7A8B,
+ (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDAA7, (q15_t)0x7A6E,
+ (q15_t)0xDA77, (q15_t)0x7A5F, (q15_t)0xDA47, (q15_t)0x7A50,
+ (q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9E7, (q15_t)0x7A33,
+ (q15_t)0xD9B7, (q15_t)0x7A24, (q15_t)0xD987, (q15_t)0x7A15,
+ (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD927, (q15_t)0x79F6,
+ (q15_t)0xD8F8, (q15_t)0x79E7, (q15_t)0xD8C8, (q15_t)0x79D8,
+ (q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD868, (q15_t)0x79B9,
+ (q15_t)0xD838, (q15_t)0x79A9, (q15_t)0xD809, (q15_t)0x7999,
+ (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD7A9, (q15_t)0x797A,
+ (q15_t)0xD779, (q15_t)0x796A, (q15_t)0xD74A, (q15_t)0x795A,
+ (q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6EA, (q15_t)0x793A,
+ (q15_t)0xD6BB, (q15_t)0x792A, (q15_t)0xD68B, (q15_t)0x7919,
+ (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD62C, (q15_t)0x78F9,
+ (q15_t)0xD5FD, (q15_t)0x78E8, (q15_t)0xD5CD, (q15_t)0x78D8,
+ (q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD56E, (q15_t)0x78B6,
+ (q15_t)0xD53F, (q15_t)0x78A6, (q15_t)0xD510, (q15_t)0x7895,
+ (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD4B1, (q15_t)0x7873,
+ (q15_t)0xD482, (q15_t)0x7862, (q15_t)0xD452, (q15_t)0x7851,
+ (q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3F4, (q15_t)0x782E,
+ (q15_t)0xD3C5, (q15_t)0x781D, (q15_t)0xD396, (q15_t)0x780C,
+ (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD337, (q15_t)0x77E9,
+ (q15_t)0xD308, (q15_t)0x77D7, (q15_t)0xD2D9, (q15_t)0x77C5,
+ (q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD27B, (q15_t)0x77A2,
+ (q15_t)0xD24C, (q15_t)0x7790, (q15_t)0xD21D, (q15_t)0x777E,
+ (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD1C0, (q15_t)0x775A,
+ (q15_t)0xD191, (q15_t)0x7747, (q15_t)0xD162, (q15_t)0x7735,
+ (q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD104, (q15_t)0x7710,
+ (q15_t)0xD0D6, (q15_t)0x76FE, (q15_t)0xD0A7, (q15_t)0x76EB,
+ (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD04A, (q15_t)0x76C6,
+ (q15_t)0xD01B, (q15_t)0x76B3, (q15_t)0xCFEC, (q15_t)0x76A0,
+ (q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF8F, (q15_t)0x767B,
+ (q15_t)0xCF61, (q15_t)0x7668, (q15_t)0xCF32, (q15_t)0x7654,
+ (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCED5, (q15_t)0x762E,
+ (q15_t)0xCEA7, (q15_t)0x761B, (q15_t)0xCE79, (q15_t)0x7607,
+ (q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCE1C, (q15_t)0x75E0,
+ (q15_t)0xCDEE, (q15_t)0x75CC, (q15_t)0xCDBF, (q15_t)0x75B9,
+ (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD63, (q15_t)0x7591,
+ (q15_t)0xCD35, (q15_t)0x757D, (q15_t)0xCD07, (q15_t)0x7569,
+ (q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCCAB, (q15_t)0x7541,
+ (q15_t)0xCC7D, (q15_t)0x752D, (q15_t)0xCC4F, (q15_t)0x7519,
+ (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBF3, (q15_t)0x74F0,
+ (q15_t)0xCBC5, (q15_t)0x74DB, (q15_t)0xCB97, (q15_t)0x74C7,
+ (q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB3B, (q15_t)0x749E,
+ (q15_t)0xCB0D, (q15_t)0x7489, (q15_t)0xCAE0, (q15_t)0x7474,
+ (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA84, (q15_t)0x744A,
+ (q15_t)0xCA57, (q15_t)0x7435, (q15_t)0xCA29, (q15_t)0x7420,
+ (q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9CE, (q15_t)0x73F6,
+ (q15_t)0xC9A0, (q15_t)0x73E0, (q15_t)0xC973, (q15_t)0x73CB,
+ (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC918, (q15_t)0x73A0,
+ (q15_t)0xC8EB, (q15_t)0x738A, (q15_t)0xC8BD, (q15_t)0x7375,
+ (q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC863, (q15_t)0x7349,
+ (q15_t)0xC835, (q15_t)0x7333, (q15_t)0xC808, (q15_t)0x731D,
+ (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC7AE, (q15_t)0x72F1,
+ (q15_t)0xC781, (q15_t)0x72DB, (q15_t)0xC754, (q15_t)0x72C5,
+ (q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6F9, (q15_t)0x7298,
+ (q15_t)0xC6CD, (q15_t)0x7282, (q15_t)0xC6A0, (q15_t)0x726B,
+ (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC646, (q15_t)0x723E,
+ (q15_t)0xC619, (q15_t)0x7227, (q15_t)0xC5EC, (q15_t)0x7211,
+ (q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC593, (q15_t)0x71E3,
+ (q15_t)0xC566, (q15_t)0x71CC, (q15_t)0xC539, (q15_t)0x71B5,
+ (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4E0, (q15_t)0x7186,
+ (q15_t)0xC4B3, (q15_t)0x716F, (q15_t)0xC487, (q15_t)0x7158,
+ (q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC42E, (q15_t)0x7129,
+ (q15_t)0xC402, (q15_t)0x7112, (q15_t)0xC3D5, (q15_t)0x70FA,
+ (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC37C, (q15_t)0x70CB,
+ (q15_t)0xC350, (q15_t)0x70B3, (q15_t)0xC324, (q15_t)0x709B,
+ (q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC2CC, (q15_t)0x706B,
+ (q15_t)0xC29F, (q15_t)0x7053, (q15_t)0xC273, (q15_t)0x703B,
+ (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC21B, (q15_t)0x700A,
+ (q15_t)0xC1EF, (q15_t)0x6FF2, (q15_t)0xC1C3, (q15_t)0x6FDA,
+ (q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC16C, (q15_t)0x6FA9,
+ (q15_t)0xC140, (q15_t)0x6F90, (q15_t)0xC114, (q15_t)0x6F77,
+ (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC0BC, (q15_t)0x6F46,
+ (q15_t)0xC091, (q15_t)0x6F2D, (q15_t)0xC065, (q15_t)0x6F14,
+ (q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xC00E, (q15_t)0x6EE2,
+ (q15_t)0xBFE2, (q15_t)0x6EC9, (q15_t)0xBFB7, (q15_t)0x6EAF,
+ (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF60, (q15_t)0x6E7D,
+ (q15_t)0xBF35, (q15_t)0x6E63, (q15_t)0xBF09, (q15_t)0x6E4A,
+ (q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBEB3, (q15_t)0x6E17,
+ (q15_t)0xBE88, (q15_t)0x6DFD, (q15_t)0xBE5D, (q15_t)0x6DE3,
+ (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBE06, (q15_t)0x6DB0,
+ (q15_t)0xBDDB, (q15_t)0x6D96, (q15_t)0xBDB0, (q15_t)0x6D7C,
+ (q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD5A, (q15_t)0x6D48,
+ (q15_t)0xBD2F, (q15_t)0x6D2D, (q15_t)0xBD05, (q15_t)0x6D13,
+ (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBCAF, (q15_t)0x6CDE,
+ (q15_t)0xBC84, (q15_t)0x6CC4, (q15_t)0xBC5A, (q15_t)0x6CA9,
+ (q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBC04, (q15_t)0x6C74,
+ (q15_t)0xBBDA, (q15_t)0x6C59, (q15_t)0xBBAF, (q15_t)0x6C3F,
+ (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB5A, (q15_t)0x6C09,
+ (q15_t)0xBB30, (q15_t)0x6BEE, (q15_t)0xBB05, (q15_t)0x6BD3,
+ (q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBAB1, (q15_t)0x6B9C,
+ (q15_t)0xBA87, (q15_t)0x6B81, (q15_t)0xBA5C, (q15_t)0x6B66,
+ (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xBA08, (q15_t)0x6B2F,
+ (q15_t)0xB9DE, (q15_t)0x6B13, (q15_t)0xB9B4, (q15_t)0x6AF8,
+ (q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB960, (q15_t)0x6AC1,
+ (q15_t)0xB936, (q15_t)0x6AA5, (q15_t)0xB90C, (q15_t)0x6A89,
+ (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB8B9, (q15_t)0x6A51,
+ (q15_t)0xB88F, (q15_t)0x6A35, (q15_t)0xB865, (q15_t)0x6A19,
+ (q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB812, (q15_t)0x69E1,
+ (q15_t)0xB7E9, (q15_t)0x69C4, (q15_t)0xB7BF, (q15_t)0x69A8,
+ (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB76C, (q15_t)0x696F,
+ (q15_t)0xB743, (q15_t)0x6953, (q15_t)0xB719, (q15_t)0x6936,
+ (q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB6C7, (q15_t)0x68FD,
+ (q15_t)0xB69E, (q15_t)0x68E0, (q15_t)0xB675, (q15_t)0x68C3,
+ (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB622, (q15_t)0x6889,
+ (q15_t)0xB5F9, (q15_t)0x686C, (q15_t)0xB5D0, (q15_t)0x684F,
+ (q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB57E, (q15_t)0x6815,
+ (q15_t)0xB556, (q15_t)0x67F7, (q15_t)0xB52D, (q15_t)0x67DA,
+ (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4DB, (q15_t)0x679F,
+ (q15_t)0xB4B3, (q15_t)0x6782, (q15_t)0xB48A, (q15_t)0x6764,
+ (q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB439, (q15_t)0x6729,
+ (q15_t)0xB410, (q15_t)0x670B, (q15_t)0xB3E8, (q15_t)0x66ED,
+ (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB397, (q15_t)0x66B1,
+ (q15_t)0xB36F, (q15_t)0x6693, (q15_t)0xB347, (q15_t)0x6675,
+ (q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2F6, (q15_t)0x6639,
+ (q15_t)0xB2CE, (q15_t)0x661A, (q15_t)0xB2A6, (q15_t)0x65FC,
+ (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB256, (q15_t)0x65BF,
+ (q15_t)0xB22E, (q15_t)0x65A0, (q15_t)0xB206, (q15_t)0x6582,
+ (q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB1B7, (q15_t)0x6545,
+ (q15_t)0xB18F, (q15_t)0x6526, (q15_t)0xB167, (q15_t)0x6507,
+ (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB118, (q15_t)0x64C9,
+ (q15_t)0xB0F0, (q15_t)0x64AA, (q15_t)0xB0C9, (q15_t)0x648B,
+ (q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB07A, (q15_t)0x644D,
+ (q15_t)0xB053, (q15_t)0x642D, (q15_t)0xB02B, (q15_t)0x640E,
+ (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFDD, (q15_t)0x63CF,
+ (q15_t)0xAFB6, (q15_t)0x63B0, (q15_t)0xAF8F, (q15_t)0x6390,
+ (q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF40, (q15_t)0x6351,
+ (q15_t)0xAF1A, (q15_t)0x6331, (q15_t)0xAEF3, (q15_t)0x6311,
+ (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAEA5, (q15_t)0x62D2,
+ (q15_t)0xAE7E, (q15_t)0x62B2, (q15_t)0xAE57, (q15_t)0x6292,
+ (q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xAE0A, (q15_t)0x6251,
+ (q15_t)0xADE3, (q15_t)0x6231, (q15_t)0xADBD, (q15_t)0x6211,
+ (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD70, (q15_t)0x61D0,
+ (q15_t)0xAD4A, (q15_t)0x61B0, (q15_t)0xAD23, (q15_t)0x618F,
+ (q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACD7, (q15_t)0x614E,
+ (q15_t)0xACB1, (q15_t)0x612D, (q15_t)0xAC8A, (q15_t)0x610D,
+ (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC3E, (q15_t)0x60CB,
+ (q15_t)0xAC18, (q15_t)0x60AA, (q15_t)0xABF2, (q15_t)0x6089,
+ (q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xABA7, (q15_t)0x6047,
+ (q15_t)0xAB81, (q15_t)0x6026, (q15_t)0xAB5B, (q15_t)0x6004,
+ (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAB10, (q15_t)0x5FC2,
+ (q15_t)0xAAEA, (q15_t)0x5FA0, (q15_t)0xAAC5, (q15_t)0x5F7F,
+ (q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA7A, (q15_t)0x5F3C,
+ (q15_t)0xAA54, (q15_t)0x5F1A, (q15_t)0xAA2F, (q15_t)0x5EF9,
+ (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9E5, (q15_t)0x5EB5,
+ (q15_t)0xA9BF, (q15_t)0x5E93, (q15_t)0xA99A, (q15_t)0x5E71,
+ (q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA950, (q15_t)0x5E2D,
+ (q15_t)0xA92B, (q15_t)0x5E0B, (q15_t)0xA906, (q15_t)0x5DE9,
+ (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA8BD, (q15_t)0x5DA5,
+ (q15_t)0xA898, (q15_t)0x5D83, (q15_t)0xA873, (q15_t)0x5D60,
+ (q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA82A, (q15_t)0x5D1B,
+ (q15_t)0xA806, (q15_t)0x5CF9, (q15_t)0xA7E1, (q15_t)0x5CD6,
+ (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA798, (q15_t)0x5C91,
+ (q15_t)0xA774, (q15_t)0x5C6E, (q15_t)0xA750, (q15_t)0x5C4B,
+ (q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA707, (q15_t)0x5C06,
+ (q15_t)0xA6E3, (q15_t)0x5BE3, (q15_t)0xA6BF, (q15_t)0x5BC0,
+ (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA677, (q15_t)0x5B79,
+ (q15_t)0xA653, (q15_t)0x5B56, (q15_t)0xA62F, (q15_t)0x5B33,
+ (q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5E8, (q15_t)0x5AEC,
+ (q15_t)0xA5C4, (q15_t)0x5AC9, (q15_t)0xA5A1, (q15_t)0x5AA5,
+ (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA55A, (q15_t)0x5A5E,
+ (q15_t)0xA536, (q15_t)0x5A3B, (q15_t)0xA513, (q15_t)0x5A17,
+ (q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4CC, (q15_t)0x59D0,
+ (q15_t)0xA4A9, (q15_t)0x59AC, (q15_t)0xA486, (q15_t)0x5988,
+ (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA43F, (q15_t)0x5940,
+ (q15_t)0xA41C, (q15_t)0x591C, (q15_t)0xA3F9, (q15_t)0x58F8,
+ (q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA3B4, (q15_t)0x58AF,
+ (q15_t)0xA391, (q15_t)0x588B, (q15_t)0xA36E, (q15_t)0x5867,
+ (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA329, (q15_t)0x581E,
+ (q15_t)0xA306, (q15_t)0x57F9, (q15_t)0xA2E4, (q15_t)0x57D5,
+ (q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA29F, (q15_t)0x578C,
+ (q15_t)0xA27C, (q15_t)0x5767, (q15_t)0xA25A, (q15_t)0x5742,
+ (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA216, (q15_t)0x56F9,
+ (q15_t)0xA1F4, (q15_t)0x56D4, (q15_t)0xA1D2, (q15_t)0x56AF,
+ (q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA18E, (q15_t)0x5665,
+ (q15_t)0xA16C, (q15_t)0x5640, (q15_t)0xA14A, (q15_t)0x561A,
+ (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA106, (q15_t)0x55D0,
+ (q15_t)0xA0E5, (q15_t)0x55AB, (q15_t)0xA0C3, (q15_t)0x5585,
+ (q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA080, (q15_t)0x553A,
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+ (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FFB, (q15_t)0x54A4,
+ (q15_t)0x9FD9, (q15_t)0x547E, (q15_t)0x9FB8, (q15_t)0x5458,
+ (q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F76, (q15_t)0x540D,
+ (q15_t)0x9F55, (q15_t)0x53E7, (q15_t)0x9F34, (q15_t)0x53C1,
+ (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9EF2, (q15_t)0x5375,
+ (q15_t)0x9ED2, (q15_t)0x534E, (q15_t)0x9EB1, (q15_t)0x5328,
+ (q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E70, (q15_t)0x52DC,
+ (q15_t)0x9E4F, (q15_t)0x52B5, (q15_t)0x9E2F, (q15_t)0x528F,
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+ (q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D6D, (q15_t)0x51A8,
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+ (q15_t)0x9BD2, (q15_t)0x4FAC, (q15_t)0x9BB2, (q15_t)0x4F85,
+ (q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B74, (q15_t)0x4F36,
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+ (q15_t)0x9A5F, (q15_t)0x4DD1, (q15_t)0x9A40, (q15_t)0x4DA9,
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+ (q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x998A, (q15_t)0x4CB8,
+ (q15_t)0x996C, (q15_t)0x4C90, (q15_t)0x994E, (q15_t)0x4C68,
+ (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9912, (q15_t)0x4C17,
+ (q15_t)0x98F4, (q15_t)0x4BEF, (q15_t)0x98D6, (q15_t)0x4BC6,
+ (q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x989B, (q15_t)0x4B75,
+ (q15_t)0x987D, (q15_t)0x4B4C, (q15_t)0x9860, (q15_t)0x4B24,
+ (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9825, (q15_t)0x4AD2,
+ (q15_t)0x9808, (q15_t)0x4AA9, (q15_t)0x97EA, (q15_t)0x4A81,
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+ (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x973C, (q15_t)0x498A,
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+ (q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x9356, (q15_t)0x43A5,
+ (q15_t)0x933B, (q15_t)0x437B, (q15_t)0x9321, (q15_t)0x4350,
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+ (q15_t)0x92D2, (q15_t)0x42D0, (q15_t)0x92B7, (q15_t)0x42A5,
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+ (q15_t)0x9269, (q15_t)0x4224, (q15_t)0x924F, (q15_t)0x41F9,
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+ (q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x91B5, (q15_t)0x40F6,
+ (q15_t)0x919C, (q15_t)0x40CA, (q15_t)0x9182, (q15_t)0x409F,
+ (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9150, (q15_t)0x4048,
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+ (q15_t)0x8656, (q15_t)0x27C7, (q15_t)0x8646, (q15_t)0x2797,
+ (q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8627, (q15_t)0x2737,
+ (q15_t)0x8618, (q15_t)0x2707, (q15_t)0x8609, (q15_t)0x26D8,
+ (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85EA, (q15_t)0x2678,
+ (q15_t)0x85DB, (q15_t)0x2648, (q15_t)0x85CC, (q15_t)0x2618,
+ (q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85AF, (q15_t)0x25B8,
+ (q15_t)0x85A0, (q15_t)0x2588, (q15_t)0x8591, (q15_t)0x2558,
+ (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8574, (q15_t)0x24F7,
+ (q15_t)0x8565, (q15_t)0x24C7, (q15_t)0x8557, (q15_t)0x2497,
+ (q15_t)0x8549, (q15_t)0x2467, (q15_t)0x853A, (q15_t)0x2437,
+ (q15_t)0x852C, (q15_t)0x2407, (q15_t)0x851E, (q15_t)0x23D6,
+ (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x8502, (q15_t)0x2376,
+ (q15_t)0x84F4, (q15_t)0x2345, (q15_t)0x84E6, (q15_t)0x2315,
+ (q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84CB, (q15_t)0x22B4,
+ (q15_t)0x84BD, (q15_t)0x2284, (q15_t)0x84B0, (q15_t)0x2254,
+ (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8495, (q15_t)0x21F3,
+ (q15_t)0x8488, (q15_t)0x21C2, (q15_t)0x847B, (q15_t)0x2192,
+ (q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8460, (q15_t)0x2131,
+ (q15_t)0x8453, (q15_t)0x2100, (q15_t)0x8446, (q15_t)0x20D0,
+ (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x842D, (q15_t)0x206E,
+ (q15_t)0x8420, (q15_t)0x203E, (q15_t)0x8414, (q15_t)0x200D,
+ (q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83FA, (q15_t)0x1FAC,
+ (q15_t)0x83EE, (q15_t)0x1F7B, (q15_t)0x83E2, (q15_t)0x1F4A,
+ (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83C9, (q15_t)0x1EE9,
+ (q15_t)0x83BD, (q15_t)0x1EB8, (q15_t)0x83B1, (q15_t)0x1E87,
+ (q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x8399, (q15_t)0x1E25,
+ (q15_t)0x838E, (q15_t)0x1DF5, (q15_t)0x8382, (q15_t)0x1DC4,
+ (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x836B, (q15_t)0x1D62,
+ (q15_t)0x835F, (q15_t)0x1D31, (q15_t)0x8354, (q15_t)0x1D00,
+ (q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x833D, (q15_t)0x1C9E,
+ (q15_t)0x8332, (q15_t)0x1C6D, (q15_t)0x8327, (q15_t)0x1C3C,
+ (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8311, (q15_t)0x1BDA,
+ (q15_t)0x8306, (q15_t)0x1BA9, (q15_t)0x82FB, (q15_t)0x1B78,
+ (q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82E6, (q15_t)0x1B16,
+ (q15_t)0x82DB, (q15_t)0x1AE4, (q15_t)0x82D0, (q15_t)0x1AB3,
+ (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82BC, (q15_t)0x1A51,
+ (q15_t)0x82B1, (q15_t)0x1A20, (q15_t)0x82A7, (q15_t)0x19EF,
+ (q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8293, (q15_t)0x198C,
+ (q15_t)0x8289, (q15_t)0x195B, (q15_t)0x827F, (q15_t)0x192A,
+ (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x826B, (q15_t)0x18C7,
+ (q15_t)0x8262, (q15_t)0x1896, (q15_t)0x8258, (q15_t)0x1864,
+ (q15_t)0x824F, (q15_t)0x1833, (q15_t)0x8245, (q15_t)0x1802,
+ (q15_t)0x823C, (q15_t)0x17D0, (q15_t)0x8232, (q15_t)0x179F,
+ (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8220, (q15_t)0x173C,
+ (q15_t)0x8217, (q15_t)0x170A, (q15_t)0x820E, (q15_t)0x16D9,
+ (q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81FC, (q15_t)0x1676,
+ (q15_t)0x81F3, (q15_t)0x1645, (q15_t)0x81EB, (q15_t)0x1613,
+ (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D9, (q15_t)0x15B0,
+ (q15_t)0x81D1, (q15_t)0x157F, (q15_t)0x81C8, (q15_t)0x154D,
+ (q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B8, (q15_t)0x14EA,
+ (q15_t)0x81B0, (q15_t)0x14B8, (q15_t)0x81A8, (q15_t)0x1487,
+ (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8198, (q15_t)0x1423,
+ (q15_t)0x8190, (q15_t)0x13F2, (q15_t)0x8188, (q15_t)0x13C0,
+ (q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8179, (q15_t)0x135D,
+ (q15_t)0x8171, (q15_t)0x132B, (q15_t)0x816A, (q15_t)0x12F9,
+ (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x815B, (q15_t)0x1296,
+ (q15_t)0x8154, (q15_t)0x1264, (q15_t)0x814C, (q15_t)0x1232,
+ (q15_t)0x8145, (q15_t)0x1201, (q15_t)0x813E, (q15_t)0x11CF,
+ (q15_t)0x8137, (q15_t)0x119D, (q15_t)0x8130, (q15_t)0x116B,
+ (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x8123, (q15_t)0x1108,
+ (q15_t)0x811C, (q15_t)0x10D6, (q15_t)0x8116, (q15_t)0x10A4,
+ (q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8109, (q15_t)0x1040,
+ (q15_t)0x8102, (q15_t)0x100E, (q15_t)0x80FC, (q15_t)0x0FDD,
+ (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80F0, (q15_t)0x0F79,
+ (q15_t)0x80EA, (q15_t)0x0F47, (q15_t)0x80E4, (q15_t)0x0F15,
+ (q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D8, (q15_t)0x0EB1,
+ (q15_t)0x80D2, (q15_t)0x0E7F, (q15_t)0x80CD, (q15_t)0x0E4D,
+ (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80C2, (q15_t)0x0DE9,
+ (q15_t)0x80BC, (q15_t)0x0DB7, (q15_t)0x80B7, (q15_t)0x0D85,
+ (q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80AC, (q15_t)0x0D21,
+ (q15_t)0x80A7, (q15_t)0x0CEF, (q15_t)0x80A2, (q15_t)0x0CBD,
+ (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8098, (q15_t)0x0C59,
+ (q15_t)0x8094, (q15_t)0x0C27, (q15_t)0x808F, (q15_t)0x0BF5,
+ (q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8086, (q15_t)0x0B91,
+ (q15_t)0x8081, (q15_t)0x0B5F, (q15_t)0x807D, (q15_t)0x0B2D,
+ (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8074, (q15_t)0x0AC9,
+ (q15_t)0x8070, (q15_t)0x0A97, (q15_t)0x806C, (q15_t)0x0A65,
+ (q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8064, (q15_t)0x0A00,
+ (q15_t)0x8060, (q15_t)0x09CE, (q15_t)0x805C, (q15_t)0x099C,
+ (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8055, (q15_t)0x0938,
+ (q15_t)0x8051, (q15_t)0x0906, (q15_t)0x804E, (q15_t)0x08D4,
+ (q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8047, (q15_t)0x086F,
+ (q15_t)0x8043, (q15_t)0x083D, (q15_t)0x8040, (q15_t)0x080B,
+ (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x803A, (q15_t)0x07A7,
+ (q15_t)0x8037, (q15_t)0x0775, (q15_t)0x8034, (q15_t)0x0742,
+ (q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802F, (q15_t)0x06DE,
+ (q15_t)0x802C, (q15_t)0x06AC, (q15_t)0x8029, (q15_t)0x067A,
+ (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8025, (q15_t)0x0615,
+ (q15_t)0x8022, (q15_t)0x05E3, (q15_t)0x8020, (q15_t)0x05B1,
+ (q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801C, (q15_t)0x054C,
+ (q15_t)0x801A, (q15_t)0x051A, (q15_t)0x8018, (q15_t)0x04E8,
+ (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8014, (q15_t)0x0483,
+ (q15_t)0x8012, (q15_t)0x0451, (q15_t)0x8011, (q15_t)0x041F,
+ (q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800D, (q15_t)0x03BA,
+ (q15_t)0x800C, (q15_t)0x0388, (q15_t)0x800B, (q15_t)0x0356,
+ (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8008, (q15_t)0x02F1,
+ (q15_t)0x8007, (q15_t)0x02BF, (q15_t)0x8006, (q15_t)0x028D,
+ (q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8004, (q15_t)0x0228,
+ (q15_t)0x8003, (q15_t)0x01F6, (q15_t)0x8003, (q15_t)0x01C4,
+ (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x015F,
+ (q15_t)0x8001, (q15_t)0x012D, (q15_t)0x8000, (q15_t)0x00FB,
+ (q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0096,
+ (q15_t)0x8000, (q15_t)0x0064, (q15_t)0x8000, (q15_t)0x0032,
+ (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFFCD,
+ (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFF69,
+ (q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF04,
+ (q15_t)0x8001, (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFEA0,
+ (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE3B,
+ (q15_t)0x8003, (q15_t)0xFE09, (q15_t)0x8004, (q15_t)0xFDD7,
+ (q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8006, (q15_t)0xFD72,
+ (q15_t)0x8007, (q15_t)0xFD40, (q15_t)0x8008, (q15_t)0xFD0E,
+ (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800B, (q15_t)0xFCA9,
+ (q15_t)0x800C, (q15_t)0xFC77, (q15_t)0x800D, (q15_t)0xFC45,
+ (q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8011, (q15_t)0xFBE0,
+ (q15_t)0x8012, (q15_t)0xFBAE, (q15_t)0x8014, (q15_t)0xFB7C,
+ (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x8018, (q15_t)0xFB17,
+ (q15_t)0x801A, (q15_t)0xFAE5, (q15_t)0x801C, (q15_t)0xFAB3,
+ (q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8020, (q15_t)0xFA4E,
+ (q15_t)0x8022, (q15_t)0xFA1C, (q15_t)0x8025, (q15_t)0xF9EA,
+ (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8029, (q15_t)0xF985,
+ (q15_t)0x802C, (q15_t)0xF953, (q15_t)0x802F, (q15_t)0xF921,
+ (q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8034, (q15_t)0xF8BD,
+ (q15_t)0x8037, (q15_t)0xF88A, (q15_t)0x803A, (q15_t)0xF858,
+ (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8040, (q15_t)0xF7F4,
+ (q15_t)0x8043, (q15_t)0xF7C2, (q15_t)0x8047, (q15_t)0xF790,
+ (q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x804E, (q15_t)0xF72B,
+ (q15_t)0x8051, (q15_t)0xF6F9, (q15_t)0x8055, (q15_t)0xF6C7,
+ (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x805C, (q15_t)0xF663,
+ (q15_t)0x8060, (q15_t)0xF631, (q15_t)0x8064, (q15_t)0xF5FF,
+ (q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x806C, (q15_t)0xF59A,
+ (q15_t)0x8070, (q15_t)0xF568, (q15_t)0x8074, (q15_t)0xF536,
+ (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x807D, (q15_t)0xF4D2,
+ (q15_t)0x8081, (q15_t)0xF4A0, (q15_t)0x8086, (q15_t)0xF46E,
+ (q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x808F, (q15_t)0xF40A,
+ (q15_t)0x8094, (q15_t)0xF3D8, (q15_t)0x8098, (q15_t)0xF3A6,
+ (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A2, (q15_t)0xF342,
+ (q15_t)0x80A7, (q15_t)0xF310, (q15_t)0x80AC, (q15_t)0xF2DE,
+ (q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80B7, (q15_t)0xF27A,
+ (q15_t)0x80BC, (q15_t)0xF248, (q15_t)0x80C2, (q15_t)0xF216,
+ (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80CD, (q15_t)0xF1B2,
+ (q15_t)0x80D2, (q15_t)0xF180, (q15_t)0x80D8, (q15_t)0xF14E,
+ (q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80E4, (q15_t)0xF0EA,
+ (q15_t)0x80EA, (q15_t)0xF0B8, (q15_t)0x80F0, (q15_t)0xF086,
+ (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x80FC, (q15_t)0xF022,
+ (q15_t)0x8102, (q15_t)0xEFF1, (q15_t)0x8109, (q15_t)0xEFBF,
+ (q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x8116, (q15_t)0xEF5B,
+ (q15_t)0x811C, (q15_t)0xEF29, (q15_t)0x8123, (q15_t)0xEEF7,
+ (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8130, (q15_t)0xEE94,
+ (q15_t)0x8137, (q15_t)0xEE62, (q15_t)0x813E, (q15_t)0xEE30,
+ (q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x814C, (q15_t)0xEDCD,
+ (q15_t)0x8154, (q15_t)0xED9B, (q15_t)0x815B, (q15_t)0xED69,
+ (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x816A, (q15_t)0xED06,
+ (q15_t)0x8171, (q15_t)0xECD4, (q15_t)0x8179, (q15_t)0xECA2,
+ (q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8188, (q15_t)0xEC3F,
+ (q15_t)0x8190, (q15_t)0xEC0D, (q15_t)0x8198, (q15_t)0xEBDC,
+ (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81A8, (q15_t)0xEB78,
+ (q15_t)0x81B0, (q15_t)0xEB47, (q15_t)0x81B8, (q15_t)0xEB15,
+ (q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81C8, (q15_t)0xEAB2,
+ (q15_t)0x81D1, (q15_t)0xEA80, (q15_t)0x81D9, (q15_t)0xEA4F,
+ (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81EB, (q15_t)0xE9EC,
+ (q15_t)0x81F3, (q15_t)0xE9BA, (q15_t)0x81FC, (q15_t)0xE989,
+ (q15_t)0x8205, (q15_t)0xE957, (q15_t)0x820E, (q15_t)0xE926,
+ (q15_t)0x8217, (q15_t)0xE8F5, (q15_t)0x8220, (q15_t)0xE8C3,
+ (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x8232, (q15_t)0xE860,
+ (q15_t)0x823C, (q15_t)0xE82F, (q15_t)0x8245, (q15_t)0xE7FD,
+ (q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8258, (q15_t)0xE79B,
+ (q15_t)0x8262, (q15_t)0xE769, (q15_t)0x826B, (q15_t)0xE738,
+ (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x827F, (q15_t)0xE6D5,
+ (q15_t)0x8289, (q15_t)0xE6A4, (q15_t)0x8293, (q15_t)0xE673,
+ (q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82A7, (q15_t)0xE610,
+ (q15_t)0x82B1, (q15_t)0xE5DF, (q15_t)0x82BC, (q15_t)0xE5AE,
+ (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82D0, (q15_t)0xE54C,
+ (q15_t)0x82DB, (q15_t)0xE51B, (q15_t)0x82E6, (q15_t)0xE4E9,
+ (q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x82FB, (q15_t)0xE487,
+ (q15_t)0x8306, (q15_t)0xE456, (q15_t)0x8311, (q15_t)0xE425,
+ (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8327, (q15_t)0xE3C3,
+ (q15_t)0x8332, (q15_t)0xE392, (q15_t)0x833D, (q15_t)0xE361,
+ (q15_t)0x8348, (q15_t)0xE330, (q15_t)0x8354, (q15_t)0xE2FF,
+ (q15_t)0x835F, (q15_t)0xE2CE, (q15_t)0x836B, (q15_t)0xE29D,
+ (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x8382, (q15_t)0xE23B,
+ (q15_t)0x838E, (q15_t)0xE20A, (q15_t)0x8399, (q15_t)0xE1DA,
+ (q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83B1, (q15_t)0xE178,
+ (q15_t)0x83BD, (q15_t)0xE147, (q15_t)0x83C9, (q15_t)0xE116,
+ (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83E2, (q15_t)0xE0B5,
+ (q15_t)0x83EE, (q15_t)0xE084, (q15_t)0x83FA, (q15_t)0xE053,
+ (q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8414, (q15_t)0xDFF2,
+ (q15_t)0x8420, (q15_t)0xDFC1, (q15_t)0x842D, (q15_t)0xDF91,
+ (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8446, (q15_t)0xDF2F,
+ (q15_t)0x8453, (q15_t)0xDEFF, (q15_t)0x8460, (q15_t)0xDECE,
+ (q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x847B, (q15_t)0xDE6D,
+ (q15_t)0x8488, (q15_t)0xDE3D, (q15_t)0x8495, (q15_t)0xDE0C,
+ (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84B0, (q15_t)0xDDAB,
+ (q15_t)0x84BD, (q15_t)0xDD7B, (q15_t)0x84CB, (q15_t)0xDD4B,
+ (q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84E6, (q15_t)0xDCEA,
+ (q15_t)0x84F4, (q15_t)0xDCBA, (q15_t)0x8502, (q15_t)0xDC89,
+ (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x851E, (q15_t)0xDC29,
+ (q15_t)0x852C, (q15_t)0xDBF8, (q15_t)0x853A, (q15_t)0xDBC8,
+ (q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8557, (q15_t)0xDB68,
+ (q15_t)0x8565, (q15_t)0xDB38, (q15_t)0x8574, (q15_t)0xDB08,
+ (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8591, (q15_t)0xDAA7,
+ (q15_t)0x85A0, (q15_t)0xDA77, (q15_t)0x85AF, (q15_t)0xDA47,
+ (q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85CC, (q15_t)0xD9E7,
+ (q15_t)0x85DB, (q15_t)0xD9B7, (q15_t)0x85EA, (q15_t)0xD987,
+ (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8609, (q15_t)0xD927,
+ (q15_t)0x8618, (q15_t)0xD8F8, (q15_t)0x8627, (q15_t)0xD8C8,
+ (q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8646, (q15_t)0xD868,
+ (q15_t)0x8656, (q15_t)0xD838, (q15_t)0x8666, (q15_t)0xD809,
+ (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8685, (q15_t)0xD7A9,
+ (q15_t)0x8695, (q15_t)0xD779, (q15_t)0x86A5, (q15_t)0xD74A,
+ (q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86C5, (q15_t)0xD6EA,
+ (q15_t)0x86D5, (q15_t)0xD6BB, (q15_t)0x86E6, (q15_t)0xD68B,
+ (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8706, (q15_t)0xD62C,
+ (q15_t)0x8717, (q15_t)0xD5FD, (q15_t)0x8727, (q15_t)0xD5CD,
+ (q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8749, (q15_t)0xD56E,
+ (q15_t)0x8759, (q15_t)0xD53F, (q15_t)0x876A, (q15_t)0xD510,
+ (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x878C, (q15_t)0xD4B1,
+ (q15_t)0x879D, (q15_t)0xD482, (q15_t)0x87AE, (q15_t)0xD452,
+ (q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87D1, (q15_t)0xD3F4,
+ (q15_t)0x87E2, (q15_t)0xD3C5, (q15_t)0x87F3, (q15_t)0xD396,
+ (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8816, (q15_t)0xD337,
+ (q15_t)0x8828, (q15_t)0xD308, (q15_t)0x883A, (q15_t)0xD2D9,
+ (q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x885D, (q15_t)0xD27B,
+ (q15_t)0x886F, (q15_t)0xD24C, (q15_t)0x8881, (q15_t)0xD21D,
+ (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88A5, (q15_t)0xD1C0,
+ (q15_t)0x88B8, (q15_t)0xD191, (q15_t)0x88CA, (q15_t)0xD162,
+ (q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x88EF, (q15_t)0xD104,
+ (q15_t)0x8901, (q15_t)0xD0D6, (q15_t)0x8914, (q15_t)0xD0A7,
+ (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8939, (q15_t)0xD04A,
+ (q15_t)0x894C, (q15_t)0xD01B, (q15_t)0x895F, (q15_t)0xCFEC,
+ (q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8984, (q15_t)0xCF8F,
+ (q15_t)0x8997, (q15_t)0xCF61, (q15_t)0x89AB, (q15_t)0xCF32,
+ (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89D1, (q15_t)0xCED5,
+ (q15_t)0x89E4, (q15_t)0xCEA7, (q15_t)0x89F8, (q15_t)0xCE79,
+ (q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A1F, (q15_t)0xCE1C,
+ (q15_t)0x8A33, (q15_t)0xCDEE, (q15_t)0x8A46, (q15_t)0xCDBF,
+ (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A6E, (q15_t)0xCD63,
+ (q15_t)0x8A82, (q15_t)0xCD35, (q15_t)0x8A96, (q15_t)0xCD07,
+ (q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8ABE, (q15_t)0xCCAB,
+ (q15_t)0x8AD2, (q15_t)0xCC7D, (q15_t)0x8AE6, (q15_t)0xCC4F,
+ (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B0F, (q15_t)0xCBF3,
+ (q15_t)0x8B24, (q15_t)0xCBC5, (q15_t)0x8B38, (q15_t)0xCB97,
+ (q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B61, (q15_t)0xCB3B,
+ (q15_t)0x8B76, (q15_t)0xCB0D, (q15_t)0x8B8B, (q15_t)0xCAE0,
+ (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BB5, (q15_t)0xCA84,
+ (q15_t)0x8BCA, (q15_t)0xCA57, (q15_t)0x8BDF, (q15_t)0xCA29,
+ (q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C09, (q15_t)0xC9CE,
+ (q15_t)0x8C1F, (q15_t)0xC9A0, (q15_t)0x8C34, (q15_t)0xC973,
+ (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C5F, (q15_t)0xC918,
+ (q15_t)0x8C75, (q15_t)0xC8EB, (q15_t)0x8C8A, (q15_t)0xC8BD,
+ (q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CB6, (q15_t)0xC863,
+ (q15_t)0x8CCC, (q15_t)0xC835, (q15_t)0x8CE2, (q15_t)0xC808,
+ (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D0E, (q15_t)0xC7AE,
+ (q15_t)0x8D24, (q15_t)0xC781, (q15_t)0x8D3A, (q15_t)0xC754,
+ (q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D67, (q15_t)0xC6F9,
+ (q15_t)0x8D7D, (q15_t)0xC6CD, (q15_t)0x8D94, (q15_t)0xC6A0,
+ (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DC1, (q15_t)0xC646,
+ (q15_t)0x8DD8, (q15_t)0xC619, (q15_t)0x8DEE, (q15_t)0xC5EC,
+ (q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E1C, (q15_t)0xC593,
+ (q15_t)0x8E33, (q15_t)0xC566, (q15_t)0x8E4A, (q15_t)0xC539,
+ (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E79, (q15_t)0xC4E0,
+ (q15_t)0x8E90, (q15_t)0xC4B3, (q15_t)0x8EA7, (q15_t)0xC487,
+ (q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8ED6, (q15_t)0xC42E,
+ (q15_t)0x8EED, (q15_t)0xC402, (q15_t)0x8F05, (q15_t)0xC3D5,
+ (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F34, (q15_t)0xC37C,
+ (q15_t)0x8F4C, (q15_t)0xC350, (q15_t)0x8F64, (q15_t)0xC324,
+ (q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8F94, (q15_t)0xC2CC,
+ (q15_t)0x8FAC, (q15_t)0xC29F, (q15_t)0x8FC4, (q15_t)0xC273,
+ (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x8FF5, (q15_t)0xC21B,
+ (q15_t)0x900D, (q15_t)0xC1EF, (q15_t)0x9025, (q15_t)0xC1C3,
+ (q15_t)0x903E, (q15_t)0xC197, (q15_t)0x9056, (q15_t)0xC16C,
+ (q15_t)0x906F, (q15_t)0xC140, (q15_t)0x9088, (q15_t)0xC114,
+ (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90B9, (q15_t)0xC0BC,
+ (q15_t)0x90D2, (q15_t)0xC091, (q15_t)0x90EB, (q15_t)0xC065,
+ (q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x911D, (q15_t)0xC00E,
+ (q15_t)0x9136, (q15_t)0xBFE2, (q15_t)0x9150, (q15_t)0xBFB7,
+ (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x9182, (q15_t)0xBF60,
+ (q15_t)0x919C, (q15_t)0xBF35, (q15_t)0x91B5, (q15_t)0xBF09,
+ (q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x91E8, (q15_t)0xBEB3,
+ (q15_t)0x9202, (q15_t)0xBE88, (q15_t)0x921C, (q15_t)0xBE5D,
+ (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x924F, (q15_t)0xBE06,
+ (q15_t)0x9269, (q15_t)0xBDDB, (q15_t)0x9283, (q15_t)0xBDB0,
+ (q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92B7, (q15_t)0xBD5A,
+ (q15_t)0x92D2, (q15_t)0xBD2F, (q15_t)0x92EC, (q15_t)0xBD05,
+ (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9321, (q15_t)0xBCAF,
+ (q15_t)0x933B, (q15_t)0xBC84, (q15_t)0x9356, (q15_t)0xBC5A,
+ (q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x938B, (q15_t)0xBC04,
+ (q15_t)0x93A6, (q15_t)0xBBDA, (q15_t)0x93C0, (q15_t)0xBBAF,
+ (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x93F6, (q15_t)0xBB5A,
+ (q15_t)0x9411, (q15_t)0xBB30, (q15_t)0x942C, (q15_t)0xBB05,
+ (q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x9463, (q15_t)0xBAB1,
+ (q15_t)0x947E, (q15_t)0xBA87, (q15_t)0x9499, (q15_t)0xBA5C,
+ (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94D0, (q15_t)0xBA08,
+ (q15_t)0x94EC, (q15_t)0xB9DE, (q15_t)0x9507, (q15_t)0xB9B4,
+ (q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x953E, (q15_t)0xB960,
+ (q15_t)0x955A, (q15_t)0xB936, (q15_t)0x9576, (q15_t)0xB90C,
+ (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95AE, (q15_t)0xB8B9,
+ (q15_t)0x95CA, (q15_t)0xB88F, (q15_t)0x95E6, (q15_t)0xB865,
+ (q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x961E, (q15_t)0xB812,
+ (q15_t)0x963B, (q15_t)0xB7E9, (q15_t)0x9657, (q15_t)0xB7BF,
+ (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x9690, (q15_t)0xB76C,
+ (q15_t)0x96AC, (q15_t)0xB743, (q15_t)0x96C9, (q15_t)0xB719,
+ (q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x9702, (q15_t)0xB6C7,
+ (q15_t)0x971F, (q15_t)0xB69E, (q15_t)0x973C, (q15_t)0xB675,
+ (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9776, (q15_t)0xB622,
+ (q15_t)0x9793, (q15_t)0xB5F9, (q15_t)0x97B0, (q15_t)0xB5D0,
+ (q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x97EA, (q15_t)0xB57E,
+ (q15_t)0x9808, (q15_t)0xB556, (q15_t)0x9825, (q15_t)0xB52D,
+ (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x9860, (q15_t)0xB4DB,
+ (q15_t)0x987D, (q15_t)0xB4B3, (q15_t)0x989B, (q15_t)0xB48A,
+ (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98D6, (q15_t)0xB439,
+ (q15_t)0x98F4, (q15_t)0xB410, (q15_t)0x9912, (q15_t)0xB3E8,
+ (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x994E, (q15_t)0xB397,
+ (q15_t)0x996C, (q15_t)0xB36F, (q15_t)0x998A, (q15_t)0xB347,
+ (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99C6, (q15_t)0xB2F6,
+ (q15_t)0x99E5, (q15_t)0xB2CE, (q15_t)0x9A03, (q15_t)0xB2A6,
+ (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A40, (q15_t)0xB256,
+ (q15_t)0x9A5F, (q15_t)0xB22E, (q15_t)0x9A7D, (q15_t)0xB206,
+ (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9ABA, (q15_t)0xB1B7,
+ (q15_t)0x9AD9, (q15_t)0xB18F, (q15_t)0x9AF8, (q15_t)0xB167,
+ (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B36, (q15_t)0xB118,
+ (q15_t)0x9B55, (q15_t)0xB0F0, (q15_t)0x9B74, (q15_t)0xB0C9,
+ (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BB2, (q15_t)0xB07A,
+ (q15_t)0x9BD2, (q15_t)0xB053, (q15_t)0x9BF1, (q15_t)0xB02B,
+ (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C30, (q15_t)0xAFDD,
+ (q15_t)0x9C4F, (q15_t)0xAFB6, (q15_t)0x9C6F, (q15_t)0xAF8F,
+ (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CAE, (q15_t)0xAF40,
+ (q15_t)0x9CCE, (q15_t)0xAF1A, (q15_t)0x9CEE, (q15_t)0xAEF3,
+ (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D2D, (q15_t)0xAEA5,
+ (q15_t)0x9D4D, (q15_t)0xAE7E, (q15_t)0x9D6D, (q15_t)0xAE57,
+ (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DAE, (q15_t)0xAE0A,
+ (q15_t)0x9DCE, (q15_t)0xADE3, (q15_t)0x9DEE, (q15_t)0xADBD,
+ (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E2F, (q15_t)0xAD70,
+ (q15_t)0x9E4F, (q15_t)0xAD4A, (q15_t)0x9E70, (q15_t)0xAD23,
+ (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9EB1, (q15_t)0xACD7,
+ (q15_t)0x9ED2, (q15_t)0xACB1, (q15_t)0x9EF2, (q15_t)0xAC8A,
+ (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F34, (q15_t)0xAC3E,
+ (q15_t)0x9F55, (q15_t)0xAC18, (q15_t)0x9F76, (q15_t)0xABF2,
+ (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FB8, (q15_t)0xABA7,
+ (q15_t)0x9FD9, (q15_t)0xAB81, (q15_t)0x9FFB, (q15_t)0xAB5B,
+ (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA03D, (q15_t)0xAB10,
+ (q15_t)0xA05F, (q15_t)0xAAEA, (q15_t)0xA080, (q15_t)0xAAC5,
+ (q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0C3, (q15_t)0xAA7A,
+ (q15_t)0xA0E5, (q15_t)0xAA54, (q15_t)0xA106, (q15_t)0xAA2F,
+ (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA14A, (q15_t)0xA9E5,
+ (q15_t)0xA16C, (q15_t)0xA9BF, (q15_t)0xA18E, (q15_t)0xA99A,
+ (q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1D2, (q15_t)0xA950,
+ (q15_t)0xA1F4, (q15_t)0xA92B, (q15_t)0xA216, (q15_t)0xA906,
+ (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA25A, (q15_t)0xA8BD,
+ (q15_t)0xA27C, (q15_t)0xA898, (q15_t)0xA29F, (q15_t)0xA873,
+ (q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA2E4, (q15_t)0xA82A,
+ (q15_t)0xA306, (q15_t)0xA806, (q15_t)0xA329, (q15_t)0xA7E1,
+ (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA36E, (q15_t)0xA798,
+ (q15_t)0xA391, (q15_t)0xA774, (q15_t)0xA3B4, (q15_t)0xA750,
+ (q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA3F9, (q15_t)0xA707,
+ (q15_t)0xA41C, (q15_t)0xA6E3, (q15_t)0xA43F, (q15_t)0xA6BF,
+ (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA486, (q15_t)0xA677,
+ (q15_t)0xA4A9, (q15_t)0xA653, (q15_t)0xA4CC, (q15_t)0xA62F,
+ (q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA513, (q15_t)0xA5E8,
+ (q15_t)0xA536, (q15_t)0xA5C4, (q15_t)0xA55A, (q15_t)0xA5A1,
+ (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5A1, (q15_t)0xA55A,
+ (q15_t)0xA5C4, (q15_t)0xA536, (q15_t)0xA5E8, (q15_t)0xA513,
+ (q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA62F, (q15_t)0xA4CC,
+ (q15_t)0xA653, (q15_t)0xA4A9, (q15_t)0xA677, (q15_t)0xA486,
+ (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6BF, (q15_t)0xA43F,
+ (q15_t)0xA6E3, (q15_t)0xA41C, (q15_t)0xA707, (q15_t)0xA3F9,
+ (q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA750, (q15_t)0xA3B4,
+ (q15_t)0xA774, (q15_t)0xA391, (q15_t)0xA798, (q15_t)0xA36E,
+ (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA7E1, (q15_t)0xA329,
+ (q15_t)0xA806, (q15_t)0xA306, (q15_t)0xA82A, (q15_t)0xA2E4,
+ (q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA873, (q15_t)0xA29F,
+ (q15_t)0xA898, (q15_t)0xA27C, (q15_t)0xA8BD, (q15_t)0xA25A,
+ (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA906, (q15_t)0xA216,
+ (q15_t)0xA92B, (q15_t)0xA1F4, (q15_t)0xA950, (q15_t)0xA1D2,
+ (q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA99A, (q15_t)0xA18E,
+ (q15_t)0xA9BF, (q15_t)0xA16C, (q15_t)0xA9E5, (q15_t)0xA14A,
+ (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA2F, (q15_t)0xA106,
+ (q15_t)0xAA54, (q15_t)0xA0E5, (q15_t)0xAA7A, (q15_t)0xA0C3,
+ (q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAC5, (q15_t)0xA080,
+ (q15_t)0xAAEA, (q15_t)0xA05F, (q15_t)0xAB10, (q15_t)0xA03D,
+ (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB5B, (q15_t)0x9FFB,
+ (q15_t)0xAB81, (q15_t)0x9FD9, (q15_t)0xABA7, (q15_t)0x9FB8,
+ (q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xABF2, (q15_t)0x9F76,
+ (q15_t)0xAC18, (q15_t)0x9F55, (q15_t)0xAC3E, (q15_t)0x9F34,
+ (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAC8A, (q15_t)0x9EF2,
+ (q15_t)0xACB1, (q15_t)0x9ED2, (q15_t)0xACD7, (q15_t)0x9EB1,
+ (q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD23, (q15_t)0x9E70,
+ (q15_t)0xAD4A, (q15_t)0x9E4F, (q15_t)0xAD70, (q15_t)0x9E2F,
+ (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADBD, (q15_t)0x9DEE,
+ (q15_t)0xADE3, (q15_t)0x9DCE, (q15_t)0xAE0A, (q15_t)0x9DAE,
+ (q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE57, (q15_t)0x9D6D,
+ (q15_t)0xAE7E, (q15_t)0x9D4D, (q15_t)0xAEA5, (q15_t)0x9D2D,
+ (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAEF3, (q15_t)0x9CEE,
+ (q15_t)0xAF1A, (q15_t)0x9CCE, (q15_t)0xAF40, (q15_t)0x9CAE,
+ (q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAF8F, (q15_t)0x9C6F,
+ (q15_t)0xAFB6, (q15_t)0x9C4F, (q15_t)0xAFDD, (q15_t)0x9C30,
+ (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB02B, (q15_t)0x9BF1,
+ (q15_t)0xB053, (q15_t)0x9BD2, (q15_t)0xB07A, (q15_t)0x9BB2,
+ (q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0C9, (q15_t)0x9B74,
+ (q15_t)0xB0F0, (q15_t)0x9B55, (q15_t)0xB118, (q15_t)0x9B36,
+ (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB167, (q15_t)0x9AF8,
+ (q15_t)0xB18F, (q15_t)0x9AD9, (q15_t)0xB1B7, (q15_t)0x9ABA,
+ (q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB206, (q15_t)0x9A7D,
+ (q15_t)0xB22E, (q15_t)0x9A5F, (q15_t)0xB256, (q15_t)0x9A40,
+ (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2A6, (q15_t)0x9A03,
+ (q15_t)0xB2CE, (q15_t)0x99E5, (q15_t)0xB2F6, (q15_t)0x99C6,
+ (q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB347, (q15_t)0x998A,
+ (q15_t)0xB36F, (q15_t)0x996C, (q15_t)0xB397, (q15_t)0x994E,
+ (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB3E8, (q15_t)0x9912,
+ (q15_t)0xB410, (q15_t)0x98F4, (q15_t)0xB439, (q15_t)0x98D6,
+ (q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB48A, (q15_t)0x989B,
+ (q15_t)0xB4B3, (q15_t)0x987D, (q15_t)0xB4DB, (q15_t)0x9860,
+ (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB52D, (q15_t)0x9825,
+ (q15_t)0xB556, (q15_t)0x9808, (q15_t)0xB57E, (q15_t)0x97EA,
+ (q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5D0, (q15_t)0x97B0,
+ (q15_t)0xB5F9, (q15_t)0x9793, (q15_t)0xB622, (q15_t)0x9776,
+ (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB675, (q15_t)0x973C,
+ (q15_t)0xB69E, (q15_t)0x971F, (q15_t)0xB6C7, (q15_t)0x9702,
+ (q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB719, (q15_t)0x96C9,
+ (q15_t)0xB743, (q15_t)0x96AC, (q15_t)0xB76C, (q15_t)0x9690,
+ (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7BF, (q15_t)0x9657,
+ (q15_t)0xB7E9, (q15_t)0x963B, (q15_t)0xB812, (q15_t)0x961E,
+ (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB865, (q15_t)0x95E6,
+ (q15_t)0xB88F, (q15_t)0x95CA, (q15_t)0xB8B9, (q15_t)0x95AE,
+ (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB90C, (q15_t)0x9576,
+ (q15_t)0xB936, (q15_t)0x955A, (q15_t)0xB960, (q15_t)0x953E,
+ (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9B4, (q15_t)0x9507,
+ (q15_t)0xB9DE, (q15_t)0x94EC, (q15_t)0xBA08, (q15_t)0x94D0,
+ (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA5C, (q15_t)0x9499,
+ (q15_t)0xBA87, (q15_t)0x947E, (q15_t)0xBAB1, (q15_t)0x9463,
+ (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB05, (q15_t)0x942C,
+ (q15_t)0xBB30, (q15_t)0x9411, (q15_t)0xBB5A, (q15_t)0x93F6,
+ (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBAF, (q15_t)0x93C0,
+ (q15_t)0xBBDA, (q15_t)0x93A6, (q15_t)0xBC04, (q15_t)0x938B,
+ (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC5A, (q15_t)0x9356,
+ (q15_t)0xBC84, (q15_t)0x933B, (q15_t)0xBCAF, (q15_t)0x9321,
+ (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD05, (q15_t)0x92EC,
+ (q15_t)0xBD2F, (q15_t)0x92D2, (q15_t)0xBD5A, (q15_t)0x92B7,
+ (q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDB0, (q15_t)0x9283,
+ (q15_t)0xBDDB, (q15_t)0x9269, (q15_t)0xBE06, (q15_t)0x924F,
+ (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE5D, (q15_t)0x921C,
+ (q15_t)0xBE88, (q15_t)0x9202, (q15_t)0xBEB3, (q15_t)0x91E8,
+ (q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF09, (q15_t)0x91B5,
+ (q15_t)0xBF35, (q15_t)0x919C, (q15_t)0xBF60, (q15_t)0x9182,
+ (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFB7, (q15_t)0x9150,
+ (q15_t)0xBFE2, (q15_t)0x9136, (q15_t)0xC00E, (q15_t)0x911D,
+ (q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC065, (q15_t)0x90EB,
+ (q15_t)0xC091, (q15_t)0x90D2, (q15_t)0xC0BC, (q15_t)0x90B9,
+ (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC114, (q15_t)0x9088,
+ (q15_t)0xC140, (q15_t)0x906F, (q15_t)0xC16C, (q15_t)0x9056,
+ (q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1C3, (q15_t)0x9025,
+ (q15_t)0xC1EF, (q15_t)0x900D, (q15_t)0xC21B, (q15_t)0x8FF5,
+ (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC273, (q15_t)0x8FC4,
+ (q15_t)0xC29F, (q15_t)0x8FAC, (q15_t)0xC2CC, (q15_t)0x8F94,
+ (q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC324, (q15_t)0x8F64,
+ (q15_t)0xC350, (q15_t)0x8F4C, (q15_t)0xC37C, (q15_t)0x8F34,
+ (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC3D5, (q15_t)0x8F05,
+ (q15_t)0xC402, (q15_t)0x8EED, (q15_t)0xC42E, (q15_t)0x8ED6,
+ (q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC487, (q15_t)0x8EA7,
+ (q15_t)0xC4B3, (q15_t)0x8E90, (q15_t)0xC4E0, (q15_t)0x8E79,
+ (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC539, (q15_t)0x8E4A,
+ (q15_t)0xC566, (q15_t)0x8E33, (q15_t)0xC593, (q15_t)0x8E1C,
+ (q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC5EC, (q15_t)0x8DEE,
+ (q15_t)0xC619, (q15_t)0x8DD8, (q15_t)0xC646, (q15_t)0x8DC1,
+ (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6A0, (q15_t)0x8D94,
+ (q15_t)0xC6CD, (q15_t)0x8D7D, (q15_t)0xC6F9, (q15_t)0x8D67,
+ (q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC754, (q15_t)0x8D3A,
+ (q15_t)0xC781, (q15_t)0x8D24, (q15_t)0xC7AE, (q15_t)0x8D0E,
+ (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC808, (q15_t)0x8CE2,
+ (q15_t)0xC835, (q15_t)0x8CCC, (q15_t)0xC863, (q15_t)0x8CB6,
+ (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8BD, (q15_t)0x8C8A,
+ (q15_t)0xC8EB, (q15_t)0x8C75, (q15_t)0xC918, (q15_t)0x8C5F,
+ (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC973, (q15_t)0x8C34,
+ (q15_t)0xC9A0, (q15_t)0x8C1F, (q15_t)0xC9CE, (q15_t)0x8C09,
+ (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA29, (q15_t)0x8BDF,
+ (q15_t)0xCA57, (q15_t)0x8BCA, (q15_t)0xCA84, (q15_t)0x8BB5,
+ (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCAE0, (q15_t)0x8B8B,
+ (q15_t)0xCB0D, (q15_t)0x8B76, (q15_t)0xCB3B, (q15_t)0x8B61,
+ (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCB97, (q15_t)0x8B38,
+ (q15_t)0xCBC5, (q15_t)0x8B24, (q15_t)0xCBF3, (q15_t)0x8B0F,
+ (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC4F, (q15_t)0x8AE6,
+ (q15_t)0xCC7D, (q15_t)0x8AD2, (q15_t)0xCCAB, (q15_t)0x8ABE,
+ (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD07, (q15_t)0x8A96,
+ (q15_t)0xCD35, (q15_t)0x8A82, (q15_t)0xCD63, (q15_t)0x8A6E,
+ (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDBF, (q15_t)0x8A46,
+ (q15_t)0xCDEE, (q15_t)0x8A33, (q15_t)0xCE1C, (q15_t)0x8A1F,
+ (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCE79, (q15_t)0x89F8,
+ (q15_t)0xCEA7, (q15_t)0x89E4, (q15_t)0xCED5, (q15_t)0x89D1,
+ (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF32, (q15_t)0x89AB,
+ (q15_t)0xCF61, (q15_t)0x8997, (q15_t)0xCF8F, (q15_t)0x8984,
+ (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xCFEC, (q15_t)0x895F,
+ (q15_t)0xD01B, (q15_t)0x894C, (q15_t)0xD04A, (q15_t)0x8939,
+ (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0A7, (q15_t)0x8914,
+ (q15_t)0xD0D6, (q15_t)0x8901, (q15_t)0xD104, (q15_t)0x88EF,
+ (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD162, (q15_t)0x88CA,
+ (q15_t)0xD191, (q15_t)0x88B8, (q15_t)0xD1C0, (q15_t)0x88A5,
+ (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD21D, (q15_t)0x8881,
+ (q15_t)0xD24C, (q15_t)0x886F, (q15_t)0xD27B, (q15_t)0x885D,
+ (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD2D9, (q15_t)0x883A,
+ (q15_t)0xD308, (q15_t)0x8828, (q15_t)0xD337, (q15_t)0x8816,
+ (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD396, (q15_t)0x87F3,
+ (q15_t)0xD3C5, (q15_t)0x87E2, (q15_t)0xD3F4, (q15_t)0x87D1,
+ (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD452, (q15_t)0x87AE,
+ (q15_t)0xD482, (q15_t)0x879D, (q15_t)0xD4B1, (q15_t)0x878C,
+ (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD510, (q15_t)0x876A,
+ (q15_t)0xD53F, (q15_t)0x8759, (q15_t)0xD56E, (q15_t)0x8749,
+ (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5CD, (q15_t)0x8727,
+ (q15_t)0xD5FD, (q15_t)0x8717, (q15_t)0xD62C, (q15_t)0x8706,
+ (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD68B, (q15_t)0x86E6,
+ (q15_t)0xD6BB, (q15_t)0x86D5, (q15_t)0xD6EA, (q15_t)0x86C5,
+ (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD74A, (q15_t)0x86A5,
+ (q15_t)0xD779, (q15_t)0x8695, (q15_t)0xD7A9, (q15_t)0x8685,
+ (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD809, (q15_t)0x8666,
+ (q15_t)0xD838, (q15_t)0x8656, (q15_t)0xD868, (q15_t)0x8646,
+ (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8C8, (q15_t)0x8627,
+ (q15_t)0xD8F8, (q15_t)0x8618, (q15_t)0xD927, (q15_t)0x8609,
+ (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD987, (q15_t)0x85EA,
+ (q15_t)0xD9B7, (q15_t)0x85DB, (q15_t)0xD9E7, (q15_t)0x85CC,
+ (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA47, (q15_t)0x85AF,
+ (q15_t)0xDA77, (q15_t)0x85A0, (q15_t)0xDAA7, (q15_t)0x8591,
+ (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB08, (q15_t)0x8574,
+ (q15_t)0xDB38, (q15_t)0x8565, (q15_t)0xDB68, (q15_t)0x8557,
+ (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBC8, (q15_t)0x853A,
+ (q15_t)0xDBF8, (q15_t)0x852C, (q15_t)0xDC29, (q15_t)0x851E,
+ (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDC89, (q15_t)0x8502,
+ (q15_t)0xDCBA, (q15_t)0x84F4, (q15_t)0xDCEA, (q15_t)0x84E6,
+ (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD4B, (q15_t)0x84CB,
+ (q15_t)0xDD7B, (q15_t)0x84BD, (q15_t)0xDDAB, (q15_t)0x84B0,
+ (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE0C, (q15_t)0x8495,
+ (q15_t)0xDE3D, (q15_t)0x8488, (q15_t)0xDE6D, (q15_t)0x847B,
+ (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDECE, (q15_t)0x8460,
+ (q15_t)0xDEFF, (q15_t)0x8453, (q15_t)0xDF2F, (q15_t)0x8446,
+ (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDF91, (q15_t)0x842D,
+ (q15_t)0xDFC1, (q15_t)0x8420, (q15_t)0xDFF2, (q15_t)0x8414,
+ (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE053, (q15_t)0x83FA,
+ (q15_t)0xE084, (q15_t)0x83EE, (q15_t)0xE0B5, (q15_t)0x83E2,
+ (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE116, (q15_t)0x83C9,
+ (q15_t)0xE147, (q15_t)0x83BD, (q15_t)0xE178, (q15_t)0x83B1,
+ (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE1DA, (q15_t)0x8399,
+ (q15_t)0xE20A, (q15_t)0x838E, (q15_t)0xE23B, (q15_t)0x8382,
+ (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE29D, (q15_t)0x836B,
+ (q15_t)0xE2CE, (q15_t)0x835F, (q15_t)0xE2FF, (q15_t)0x8354,
+ (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE361, (q15_t)0x833D,
+ (q15_t)0xE392, (q15_t)0x8332, (q15_t)0xE3C3, (q15_t)0x8327,
+ (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE425, (q15_t)0x8311,
+ (q15_t)0xE456, (q15_t)0x8306, (q15_t)0xE487, (q15_t)0x82FB,
+ (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE4E9, (q15_t)0x82E6,
+ (q15_t)0xE51B, (q15_t)0x82DB, (q15_t)0xE54C, (q15_t)0x82D0,
+ (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5AE, (q15_t)0x82BC,
+ (q15_t)0xE5DF, (q15_t)0x82B1, (q15_t)0xE610, (q15_t)0x82A7,
+ (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE673, (q15_t)0x8293,
+ (q15_t)0xE6A4, (q15_t)0x8289, (q15_t)0xE6D5, (q15_t)0x827F,
+ (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE738, (q15_t)0x826B,
+ (q15_t)0xE769, (q15_t)0x8262, (q15_t)0xE79B, (q15_t)0x8258,
+ (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE7FD, (q15_t)0x8245,
+ (q15_t)0xE82F, (q15_t)0x823C, (q15_t)0xE860, (q15_t)0x8232,
+ (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8C3, (q15_t)0x8220,
+ (q15_t)0xE8F5, (q15_t)0x8217, (q15_t)0xE926, (q15_t)0x820E,
+ (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE989, (q15_t)0x81FC,
+ (q15_t)0xE9BA, (q15_t)0x81F3, (q15_t)0xE9EC, (q15_t)0x81EB,
+ (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA4F, (q15_t)0x81D9,
+ (q15_t)0xEA80, (q15_t)0x81D1, (q15_t)0xEAB2, (q15_t)0x81C8,
+ (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB15, (q15_t)0x81B8,
+ (q15_t)0xEB47, (q15_t)0x81B0, (q15_t)0xEB78, (q15_t)0x81A8,
+ (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEBDC, (q15_t)0x8198,
+ (q15_t)0xEC0D, (q15_t)0x8190, (q15_t)0xEC3F, (q15_t)0x8188,
+ (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECA2, (q15_t)0x8179,
+ (q15_t)0xECD4, (q15_t)0x8171, (q15_t)0xED06, (q15_t)0x816A,
+ (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED69, (q15_t)0x815B,
+ (q15_t)0xED9B, (q15_t)0x8154, (q15_t)0xEDCD, (q15_t)0x814C,
+ (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE30, (q15_t)0x813E,
+ (q15_t)0xEE62, (q15_t)0x8137, (q15_t)0xEE94, (q15_t)0x8130,
+ (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEEF7, (q15_t)0x8123,
+ (q15_t)0xEF29, (q15_t)0x811C, (q15_t)0xEF5B, (q15_t)0x8116,
+ (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFBF, (q15_t)0x8109,
+ (q15_t)0xEFF1, (q15_t)0x8102, (q15_t)0xF022, (q15_t)0x80FC,
+ (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF086, (q15_t)0x80F0,
+ (q15_t)0xF0B8, (q15_t)0x80EA, (q15_t)0xF0EA, (q15_t)0x80E4,
+ (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF14E, (q15_t)0x80D8,
+ (q15_t)0xF180, (q15_t)0x80D2, (q15_t)0xF1B2, (q15_t)0x80CD,
+ (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF216, (q15_t)0x80C2,
+ (q15_t)0xF248, (q15_t)0x80BC, (q15_t)0xF27A, (q15_t)0x80B7,
+ (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF2DE, (q15_t)0x80AC,
+ (q15_t)0xF310, (q15_t)0x80A7, (q15_t)0xF342, (q15_t)0x80A2,
+ (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3A6, (q15_t)0x8098,
+ (q15_t)0xF3D8, (q15_t)0x8094, (q15_t)0xF40A, (q15_t)0x808F,
+ (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF46E, (q15_t)0x8086,
+ (q15_t)0xF4A0, (q15_t)0x8081, (q15_t)0xF4D2, (q15_t)0x807D,
+ (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF536, (q15_t)0x8074,
+ (q15_t)0xF568, (q15_t)0x8070, (q15_t)0xF59A, (q15_t)0x806C,
+ (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF5FF, (q15_t)0x8064,
+ (q15_t)0xF631, (q15_t)0x8060, (q15_t)0xF663, (q15_t)0x805C,
+ (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6C7, (q15_t)0x8055,
+ (q15_t)0xF6F9, (q15_t)0x8051, (q15_t)0xF72B, (q15_t)0x804E,
+ (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF790, (q15_t)0x8047,
+ (q15_t)0xF7C2, (q15_t)0x8043, (q15_t)0xF7F4, (q15_t)0x8040,
+ (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF858, (q15_t)0x803A,
+ (q15_t)0xF88A, (q15_t)0x8037, (q15_t)0xF8BD, (q15_t)0x8034,
+ (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF921, (q15_t)0x802F,
+ (q15_t)0xF953, (q15_t)0x802C, (q15_t)0xF985, (q15_t)0x8029,
+ (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xF9EA, (q15_t)0x8025,
+ (q15_t)0xFA1C, (q15_t)0x8022, (q15_t)0xFA4E, (q15_t)0x8020,
+ (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAB3, (q15_t)0x801C,
+ (q15_t)0xFAE5, (q15_t)0x801A, (q15_t)0xFB17, (q15_t)0x8018,
+ (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFB7C, (q15_t)0x8014,
+ (q15_t)0xFBAE, (q15_t)0x8012, (q15_t)0xFBE0, (q15_t)0x8011,
+ (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC45, (q15_t)0x800D,
+ (q15_t)0xFC77, (q15_t)0x800C, (q15_t)0xFCA9, (q15_t)0x800B,
+ (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD0E, (q15_t)0x8008,
+ (q15_t)0xFD40, (q15_t)0x8007, (q15_t)0xFD72, (q15_t)0x8006,
+ (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFDD7, (q15_t)0x8004,
+ (q15_t)0xFE09, (q15_t)0x8003, (q15_t)0xFE3B, (q15_t)0x8003,
+ (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFEA0, (q15_t)0x8001,
+ (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFF04, (q15_t)0x8000,
+ (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF69, (q15_t)0x8000,
+ (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFFCD, (q15_t)0x8000
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+ @} end of CFFT_CIFFT group
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16)
+
+const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH] =
+{
+ /* radix 4, size 12 */
+ 8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32)
+const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH] =
+{
+ /* 4x2, size 24 */
+ 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+ 88,208, 104,176, 120,240, 152,200, 184,232
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64)
+const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH] =
+{
+ /* radix 4, size 56 */
+ 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+ 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+ 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128)
+const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH] =
+{
+ /* 4x2, size 112 */
+ 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+ 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+ 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+ 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+ 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+ 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256)
+const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH] =
+{
+ /* radix 4, size 240 */
+ 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+ 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+ 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+ 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+ 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+ 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+ 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+ 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+ 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+ 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+ 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+ 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+ 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+ 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512)
+const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH] =
+{
+ /* 4x2, size 480 */
+ 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+ 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+ 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+ 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+ 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+ 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+ 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+ 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+ 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+ 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+ 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+ 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+ 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+ 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+ 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+ 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+ 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+ 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+ 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+ 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+ 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+ 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+ 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+ 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+ 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+ 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+ 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+ 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+ 3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024)
+const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH] =
+{
+ /* radix 4, size 992 */
+ 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608,
+ 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352,
+ 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864,
+ 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176,
+ 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688,
+ 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528,
+ 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040,
+ 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088,
+ 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696,
+ 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392,
+ 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904,
+ 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360,
+ 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544,
+ 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008,
+ 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080,
+ 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688,
+ 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432,
+ 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944,
+ 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304,
+ 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696,
+ 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536,
+ 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048,
+ 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168,
+ 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776,
+ 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960,
+ 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320,
+ 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784,
+ 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624,
+ 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112,
+ 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184,
+ 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368,
+ 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832,
+ 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264,
+ 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728,
+ 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008,
+ 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224,
+ 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664,
+ 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944,
+ 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352,
+ 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792,
+ 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072,
+ 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168,
+ 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400,
+ 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936,
+ 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784,
+ 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552,
+ 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208,
+ 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792,
+ 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000,
+ 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848,
+ 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664,
+ 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176,
+ 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384,
+ 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256,
+ 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512,
+ 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192,
+ 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496,
+ 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368,
+ 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112,
+ 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720,
+ 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312,
+ 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080,
+ 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504,
+ 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888,
+ 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680,
+ 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808,
+ 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512,
+ 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736,
+ 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048)
+const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH] =
+{
+ /* 4x2, size 1984 */
+ 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024,
+ 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512,
+ 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848,
+ 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680,
+ 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400,
+ 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520,
+ 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816,
+ 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080,
+ 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416,
+ 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248,
+ 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736,
+ 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856,
+ 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576,
+ 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408,
+ 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744,
+ 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232,
+ 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064,
+ 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208,
+ 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232,
+ 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720,
+ 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840,
+ 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560,
+ 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584,
+ 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072,
+ 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904,
+ 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240,
+ 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264,
+ 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752,
+ 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776,
+ 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496,
+ 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520,
+ 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008,
+ 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032,
+ 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272,
+ 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296,
+ 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784,
+ 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808,
+ 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432,
+ 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456,
+ 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944,
+ 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968,
+ 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496,
+ 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520,
+ 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888,
+ 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608,
+ 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536,
+ 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024,
+ 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048,
+ 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192,
+ 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408,
+ 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848,
+ 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872,
+ 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496,
+ 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712,
+ 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080,
+ 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416,
+ 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344,
+ 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024,
+ 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000,
+ 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624,
+ 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840,
+ 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208,
+ 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304,
+ 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280,
+ 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672,
+ 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888,
+ 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392,
+ 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072,
+ 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096,
+ 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288,
+ 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504,
+ 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776,
+ 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688,
+ 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664,
+ 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248,
+ 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272,
+ 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392,
+ 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736,
+ 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952,
+ 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648,
+ 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992,
+ 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016,
+ 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424,
+ 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008,
+ 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888,
+ 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680,
+ 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264,
+ 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240,
+ 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264,
+ 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848,
+ 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728,
+ 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520,
+ 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104,
+ 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080,
+ 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392,
+ 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976,
+ 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856,
+ 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648,
+ 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232,
+ 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112,
+ 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328,
+ 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864,
+ 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560,
+ 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632,
+ 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096,
+ 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528,
+ 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600,
+ 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064,
+ 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832,
+ 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296,
+ 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368,
+ 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272,
+ 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736,
+ 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600,
+ 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064,
+ 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136,
+ 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400,
+ 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960,
+ 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608,
+ 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240,
+ 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312,
+ 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824,
+ 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616,
+ 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128,
+ 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200,
+ 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560,
+ 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072,
+ 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816,
+ 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328,
+ 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840,
+ 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584,
+ 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048,
+ 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504,
+ 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992,
+ 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688,
+ 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296,
+ 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952,
+ 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672,
+ 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232,
+ 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080,
+ 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848,
+ 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336,
+ 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616,
+ 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152,
+ 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024,
+ 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280,
+ 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680,
+ 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576,
+ 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344,
+ 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184,
+ 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096)
+const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH] =
+{
+ /* radix 4, size 4032 */
+ 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048,
+ 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720,
+ 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312,
+ 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552,
+ 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608,
+ 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136,
+ 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728,
+ 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968,
+ 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640,
+ 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304,
+ 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976,
+ 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568,
+ 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808,
+ 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248,
+ 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912,
+ 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368,
+ 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032,
+ 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320,
+ 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176,
+ 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464,
+ 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632,
+ 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776,
+ 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832,
+ 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688,
+ 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976,
+ 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144,
+ 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288,
+ 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576,
+ 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432,
+ 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720,
+ 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888,
+ 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032,
+ 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088,
+ 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944,
+ 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232,
+ 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400,
+ 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544,
+ 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256,
+ 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496,
+ 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784,
+ 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376,
+ 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232,
+ 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152,
+ 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008,
+ 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296,
+ 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888,
+ 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744,
+ 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896,
+ 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560,
+ 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728,
+ 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392,
+ 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680,
+ 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312,
+ 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976,
+ 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432,
+ 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288,
+ 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576,
+ 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480,
+ 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720,
+ 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312,
+ 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840,
+ 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896,
+ 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136,
+ 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424,
+ 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016,
+ 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872,
+ 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024,
+ 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688,
+ 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856,
+ 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144,
+ 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808,
+ 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440,
+ 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104,
+ 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560,
+ 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224,
+ 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416,
+ 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464,
+ 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752,
+ 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344,
+ 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584,
+ 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640,
+ 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168,
+ 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760,
+ 4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000,
+ 4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288,
+ 4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960,
+ 4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624,
+ 4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792,
+ 4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456,
+ 4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376,
+ 4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424,
+ 4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016,
+ 5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256,
+ 5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544,
+ 5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832,
+ 5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496,
+ 5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472,
+ 5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712,
+ 5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152,
+ 5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816,
+ 5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272,
+ 5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936,
+ 5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800,
+ 5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848,
+ 5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136,
+ 5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112,
+ 5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776,
+ 5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216,
+ 5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456,
+ 6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432,
+ 6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096,
+ 6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672,
+ 6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720,
+ 6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696,
+ 6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744,
+ 6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800,
+ 6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848,
+ 6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016,
+ 6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064,
+ 6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352,
+ 6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024,
+ 6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072,
+ 6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048,
+ 6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712,
+ 6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152,
+ 6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200,
+ 7032,31584, 7048,18272, 7056,10080, 7064,26464, 7080,22368, 7088,14176,
+ 7096,30560, 7112,20320, 7120,12128, 7128,28512, 7136,8032, 7144,24416,
+ 7152,16224, 7160,32608, 7176,16608, 7184,8416, 7192,24800, 7208,20704,
+ 7216,12512, 7224,28896, 7240,18656, 7248,10464, 7256,26848, 7272,22752,
+ 7280,14560, 7288,30944, 7304,17632, 7312,9440, 7320,25824, 7336,21728,
+ 7344,13536, 7352,29920, 7368,19680, 7376,11488, 7384,27872, 7400,23776,
+ 7408,15584, 7416,31968, 7432,17120, 7440,8928, 7448,25312, 7464,21216,
+ 7472,13024, 7480,29408, 7496,19168, 7504,10976, 7512,27360, 7528,23264,
+ 7536,15072, 7544,31456, 7560,18144, 7568,9952, 7576,26336, 7592,22240,
+ 7600,14048, 7608,30432, 7624,20192, 7632,12000, 7640,28384, 7648,7904,
+ 7656,24288, 7664,16096, 7672,32480, 7688,16864, 7696,8672, 7704,25056,
+ 7720,20960, 7728,12768, 7736,29152, 7752,18912, 7760,10720, 7768,27104,
+ 7784,23008, 7792,14816, 7800,31200, 7816,17888, 7824,9696, 7832,26080,
+ 7848,21984, 7856,13792, 7864,30176, 7880,19936, 7888,11744, 7896,28128,
+ 7912,24032, 7920,15840, 7928,32224, 7944,17376, 7952,9184, 7960,25568,
+ 7976,21472, 7984,13280, 7992,29664, 8008,19424, 8016,11232, 8024,27616,
+ 8040,23520, 8048,15328, 8056,31712, 8072,18400, 8080,10208, 8088,26592,
+ 8104,22496, 8112,14304, 8120,30688, 8136,20448, 8144,12256, 8152,28640,
+ 8168,24544, 8176,16352, 8184,32736, 8200,16400, 8216,24592, 8232,20496,
+ 8240,12304, 8248,28688, 8264,18448, 8272,10256, 8280,26640, 8296,22544,
+ 8304,14352, 8312,30736, 8328,17424, 8336,9232, 8344,25616, 8360,21520,
+ 8368,13328, 8376,29712, 8392,19472, 8400,11280, 8408,27664, 8424,23568,
+ 8432,15376, 8440,31760, 8456,16912, 8464,8720, 8472,25104, 8488,21008,
+ 8496,12816, 8504,29200, 8520,18960, 8528,10768, 8536,27152, 8552,23056,
+ 8560,14864, 8568,31248, 8584,17936, 8592,9744, 8600,26128, 8616,22032,
+ 8624,13840, 8632,30224, 8648,19984, 8656,11792, 8664,28176, 8680,24080,
+ 8688,15888, 8696,32272, 8712,16656, 8728,24848, 8744,20752, 8752,12560,
+ 8760,28944, 8776,18704, 8784,10512, 8792,26896, 8808,22800, 8816,14608,
+ 8824,30992, 8840,17680, 8848,9488, 8856,25872, 8872,21776, 8880,13584,
+ 8888,29968, 8904,19728, 8912,11536, 8920,27920, 8936,23824, 8944,15632,
+ 8952,32016, 8968,17168, 8984,25360, 9000,21264, 9008,13072, 9016,29456,
+ 9032,19216, 9040,11024, 9048,27408, 9064,23312, 9072,15120, 9080,31504,
+ 9096,18192, 9104,10000, 9112,26384, 9128,22288, 9136,14096, 9144,30480,
+ 9160,20240, 9168,12048, 9176,28432, 9192,24336, 9200,16144, 9208,32528,
+ 9224,16528, 9240,24720, 9256,20624, 9264,12432, 9272,28816, 9288,18576,
+ 9296,10384, 9304,26768, 9320,22672, 9328,14480, 9336,30864, 9352,17552,
+ 9368,25744, 9384,21648, 9392,13456, 9400,29840, 9416,19600, 9424,11408,
+ 9432,27792, 9448,23696, 9456,15504, 9464,31888, 9480,17040, 9496,25232,
+ 9512,21136, 9520,12944, 9528,29328, 9544,19088, 9552,10896, 9560,27280,
+ 9576,23184, 9584,14992, 9592,31376, 9608,18064, 9616,9872, 9624,26256,
+ 9640,22160, 9648,13968, 9656,30352, 9672,20112, 9680,11920, 9688,28304,
+ 9704,24208, 9712,16016, 9720,32400, 9736,16784, 9752,24976, 9768,20880,
+ 9776,12688, 9784,29072, 9800,18832, 9808,10640, 9816,27024, 9832,22928,
+ 9840,14736, 9848,31120, 9864,17808, 9880,26000, 9896,21904, 9904,13712,
+ 9912,30096, 9928,19856, 9936,11664, 9944,28048, 9960,23952, 9968,15760,
+ 9976,32144, 9992,17296, 10008,25488, 10024,21392, 10032,13200, 10040,29584,
+ 10056,19344, 10064,11152, 10072,27536, 10088,23440, 10096,15248, 10104,31632,
+ 10120,18320, 10136,26512, 10152,22416, 10160,14224, 10168,30608, 10184,20368,
+ 10192,12176, 10200,28560, 10216,24464, 10224,16272, 10232,32656, 10248,16464,
+ 10264,24656, 10280,20560, 10288,12368, 10296,28752, 10312,18512, 10328,26704,
+ 10344,22608, 10352,14416, 10360,30800, 10376,17488, 10392,25680, 10408,21584,
+ 10416,13392, 10424,29776, 10440,19536, 10448,11344, 10456,27728, 10472,23632,
+ 10480,15440, 10488,31824, 10504,16976, 10520,25168, 10536,21072, 10544,12880,
+ 10552,29264, 10568,19024, 10576,10832, 10584,27216, 10600,23120, 10608,14928,
+ 10616,31312, 10632,18000, 10648,26192, 10664,22096, 10672,13904, 10680,30288,
+ 10696,20048, 10704,11856, 10712,28240, 10728,24144, 10736,15952, 10744,32336,
+ 10760,16720, 10776,24912, 10792,20816, 10800,12624, 10808,29008, 10824,18768,
+ 10840,26960, 10856,22864, 10864,14672, 10872,31056, 10888,17744, 10904,25936,
+ 10920,21840, 10928,13648, 10936,30032, 10952,19792, 10960,11600, 10968,27984,
+ 10984,23888, 10992,15696, 11000,32080, 11016,17232, 11032,25424, 11048,21328,
+ 11056,13136, 11064,29520, 11080,19280, 11096,27472, 11112,23376, 11120,15184,
+ 11128,31568, 11144,18256, 11160,26448, 11176,22352, 11184,14160, 11192,30544,
+ 11208,20304, 11216,12112, 11224,28496, 11240,24400, 11248,16208, 11256,32592,
+ 11272,16592, 11288,24784, 11304,20688, 11312,12496, 11320,28880, 11336,18640,
+ 11352,26832, 11368,22736, 11376,14544, 11384,30928, 11400,17616, 11416,25808,
+ 11432,21712, 11440,13520, 11448,29904, 11464,19664, 11480,27856, 11496,23760,
+ 11504,15568, 11512,31952, 11528,17104, 11544,25296, 11560,21200, 11568,13008,
+ 11576,29392, 11592,19152, 11608,27344, 11624,23248, 11632,15056, 11640,31440,
+ 11656,18128, 11672,26320, 11688,22224, 11696,14032, 11704,30416, 11720,20176,
+ 11728,11984, 11736,28368, 11752,24272, 11760,16080, 11768,32464, 11784,16848,
+ 11800,25040, 11816,20944, 11824,12752, 11832,29136, 11848,18896, 11864,27088,
+ 11880,22992, 11888,14800, 11896,31184, 11912,17872, 11928,26064, 11944,21968,
+ 11952,13776, 11960,30160, 11976,19920, 11992,28112, 12008,24016, 12016,15824,
+ 12024,32208, 12040,17360, 12056,25552, 12072,21456, 12080,13264, 12088,29648,
+ 12104,19408, 12120,27600, 12136,23504, 12144,15312, 12152,31696, 12168,18384,
+ 12184,26576, 12200,22480, 12208,14288, 12216,30672, 12232,20432, 12248,28624,
+ 12264,24528, 12272,16336, 12280,32720, 12296,16432, 12312,24624, 12328,20528,
+ 12344,28720, 12360,18480, 12376,26672, 12392,22576, 12400,14384, 12408,30768,
+ 12424,17456, 12440,25648, 12456,21552, 12464,13360, 12472,29744, 12488,19504,
+ 12504,27696, 12520,23600, 12528,15408, 12536,31792, 12552,16944, 12568,25136,
+ 12584,21040, 12592,12848, 12600,29232, 12616,18992, 12632,27184, 12648,23088,
+ 12656,14896, 12664,31280, 12680,17968, 12696,26160, 12712,22064, 12720,13872,
+ 12728,30256, 12744,20016, 12760,28208, 12776,24112, 12784,15920, 12792,32304,
+ 12808,16688, 12824,24880, 12840,20784, 12856,28976, 12872,18736, 12888,26928,
+ 12904,22832, 12912,14640, 12920,31024, 12936,17712, 12952,25904, 12968,21808,
+ 12976,13616, 12984,30000, 13000,19760, 13016,27952, 13032,23856, 13040,15664,
+ 13048,32048, 13064,17200, 13080,25392, 13096,21296, 13112,29488, 13128,19248,
+ 13144,27440, 13160,23344, 13168,15152, 13176,31536, 13192,18224, 13208,26416,
+ 13224,22320, 13232,14128, 13240,30512, 13256,20272, 13272,28464, 13288,24368,
+ 13296,16176, 13304,32560, 13320,16560, 13336,24752, 13352,20656, 13368,28848,
+ 13384,18608, 13400,26800, 13416,22704, 13424,14512, 13432,30896, 13448,17584,
+ 13464,25776, 13480,21680, 13496,29872, 13512,19632, 13528,27824, 13544,23728,
+ 13552,15536, 13560,31920, 13576,17072, 13592,25264, 13608,21168, 13624,29360,
+ 13640,19120, 13656,27312, 13672,23216, 13680,15024, 13688,31408, 13704,18096,
+ 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336,
+ 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912,
+ 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152,
+ 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080,
+ 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424,
+ 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664,
+ 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592,
+ 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592,
+ 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520,
+ 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664,
+ 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296,
+ 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032,
+ 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176,
+ 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040,
+ 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968,
+ 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728,
+ 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312,
+ 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384,
+ 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624,
+ 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864,
+ 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936,
+ 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328,
+ 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472,
+ 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400,
+ 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976,
+ 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904,
+ 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048,
+ 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440,
+ 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512,
+ 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584,
+ 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728,
+ 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656,
+ 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192,
+ 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120,
+ 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264,
+ 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792,
+ 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720,
+ 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448,
+ 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376,
+ 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520,
+ 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664,
+ 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784,
+ 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080,
+ 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152,
+ 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968,
+ 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112,
+ 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944,
+ 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528,
+ 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360,
+ 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744,
+ 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768,
+ 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064,
+ 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184,
+ 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328,
+ 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048,
+ 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880,
+ 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368,
+ 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488,
+ 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824,
+ 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848,
+ 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336,
+ 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168,
+ 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128,
+ 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152,
+ 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640,
+ 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664,
+ 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664,
+ 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688,
+ 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176,
+ 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200,
+ 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824,
+ 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848,
+ 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528,
+ 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552,
+ 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768,
+ 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352,
+ 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376,
+ 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048,
+ 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976,
+ 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656,
+ 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680,
+ 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752,
+ 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144,
+ 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360,
+ 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056,
+ 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496,
+ 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616,
+ 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928,
+ 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464,
+ 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064,
+ 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136,
+ 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600,
+ 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744,
+ 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208,
+ 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280,
+ 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928,
+ 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488,
+ 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848,
+ 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264,
+ 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128,
+ 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640,
+ 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784,
+ 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296,
+ 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992,
+ 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600,
+ 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448,
+ 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168,
+ 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776,
+ 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312,
+ 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568,
+ 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160,
+ 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376,
+ 31480,32120, 31736,32632, 32248,32504
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
+
+const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH] =
+{
+ /* 8x2, size 20 */
+ 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32)
+
+const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH] =
+{
+ /* 8x4, size 48 */
+ 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208,
+ 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208,
+ 152,224, 176,208, 184,232, 216,240, 200,224, 232,240
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64)
+
+const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH] =
+{
+ /* radix 8, size 56 */
+ 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200,
+ 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400,
+ 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480,
+ 368,424, 376,488, 440,496
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128)
+
+const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] =
+{
+ /* 8x2, size 208 */
+ 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768,
+ 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520,
+ 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776,
+ 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320,
+ 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400,
+ 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584,
+ 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600,
+ 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608,
+ 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864,
+ 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808,
+ 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832,
+ 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008,
+ 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256)
+
+const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] =
+{
+ /* 8x4, size 440 */
+ 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640,
+ 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768,
+ 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384,
+ 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984,
+ 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608,
+ 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736,
+ 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864,
+ 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992,
+ 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104,
+ 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720,
+ 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160,
+ 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936,
+ 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048,
+ 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808,
+ 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544,
+ 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880,
+ 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496,
+ 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120,
+ 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552,
+ 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824,
+ 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672,
+ 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016,
+ 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640,
+ 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432,
+ 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936,
+ 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960,
+ 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648,
+ 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936,
+ 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928,
+ 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840,
+ 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888,
+ 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032,
+ 1960,1968, 2008,2032, 1992,2016, 2024,2032
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512)
+
+const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] =
+{
+ /* radix 8, size 448 */
+ 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576,
+ 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152,
+ 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216,
+ 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280,
+ 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344,
+ 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408,
+ 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472,
+ 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544,
+ 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120,
+ 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696,
+ 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272,
+ 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848,
+ 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416,
+ 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992,
+ 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576,
+ 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152,
+ 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728,
+ 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808,
+ 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384,
+ 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960,
+ 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536,
+ 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136,
+ 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224,
+ 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328,
+ 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416,
+ 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520,
+ 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616,
+ 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744,
+ 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872,
+ 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000,
+ 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176,
+ 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368,
+ 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560,
+ 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888,
+ 3448,3952, 3512,4016, 3576,4080
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024)
+
+const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH] =
+{
+ /* 8x2, size 1800 */
+ 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048,
+ 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048,
+ 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696,
+ 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648,
+ 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248,
+ 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200,
+ 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800,
+ 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752,
+ 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352,
+ 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304,
+ 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936,
+ 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856,
+ 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488,
+ 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408,
+ 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040,
+ 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960,
+ 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592,
+ 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096,
+ 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544,
+ 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080,
+ 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400,
+ 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120,
+ 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656,
+ 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168,
+ 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696,
+ 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208,
+ 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736,
+ 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272,
+ 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480,
+ 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312,
+ 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848,
+ 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280,
+ 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888,
+ 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288,
+ 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928,
+ 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464,
+ 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592,
+ 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504,
+ 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040,
+ 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136,
+ 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088,
+ 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816,
+ 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576,
+ 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664,
+ 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264,
+ 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800,
+ 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304,
+ 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840,
+ 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376,
+ 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392,
+ 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344,
+ 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944,
+ 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480,
+ 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016,
+ 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032,
+ 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984,
+ 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584,
+ 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632,
+ 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632,
+ 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168,
+ 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704,
+ 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208,
+ 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744,
+ 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248,
+ 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784,
+ 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320,
+ 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824,
+ 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360,
+ 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896,
+ 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400,
+ 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936,
+ 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440,
+ 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976,
+ 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512,
+ 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016,
+ 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552,
+ 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088,
+ 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592,
+ 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128,
+ 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160,
+ 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176,
+ 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712,
+ 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216,
+ 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752,
+ 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416,
+ 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304,
+ 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624,
+ 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296,
+ 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680,
+ 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208,
+ 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400,
+ 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808,
+ 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688,
+ 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976,
+ 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160,
+ 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344,
+ 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728,
+ 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736,
+ 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928,
+ 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872,
+ 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672,
+ 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208,
+ 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456,
+ 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248,
+ 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784,
+ 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448,
+ 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824,
+ 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240,
+ 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504,
+ 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168,
+ 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264,
+ 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456,
+ 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552,
+ 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312,
+ 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576,
+ 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248,
+ 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504,
+ 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360,
+ 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624,
+ 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384,
+ 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264,
+ 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664,
+ 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520,
+ 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280,
+ 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536,
+ 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048,
+ 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752,
+ 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992,
+ 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280,
+ 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856,
+ 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024,
+ 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624,
+ 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104,
+ 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664,
+ 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280,
+ 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688,
+ 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952,
+ 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456,
+ 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864,
+ 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784,
+ 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048,
+ 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728,
+ 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096,
+ 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112,
+ 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984,
+ 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160,
+ 8112,8136, 8120,8168, 8136,8160, 8152,8176
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048)
+
+const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH] =
+{
+ /* 8x2, size 3808 */
+ 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024,
+ 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824,
+ 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752,
+ 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680,
+ 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576,
+ 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376,
+ 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304,
+ 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232,
+ 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048,
+ 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928,
+ 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856,
+ 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784,
+ 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712,
+ 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480,
+ 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408,
+ 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336,
+ 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264,
+ 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064,
+ 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960,
+ 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792,
+ 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496,
+ 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328,
+ 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032,
+ 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928,
+ 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856,
+ 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560,
+ 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392,
+ 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096,
+ 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240,
+ 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600,
+ 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432,
+ 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136,
+ 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968,
+ 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640,
+ 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392,
+ 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176,
+ 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008,
+ 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712,
+ 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096,
+ 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712,
+ 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480,
+ 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248,
+ 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080,
+ 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784,
+ 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248,
+ 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288,
+ 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128,
+ 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824,
+ 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656,
+ 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328,
+ 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400,
+ 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864,
+ 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280,
+ 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400,
+ 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168,
+ 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904,
+ 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552,
+ 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440,
+ 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272,
+ 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976,
+ 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288,
+ 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480,
+ 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168,
+ 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016,
+ 3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848,
+ 3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520,
+ 3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440,
+ 3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056,
+ 3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320,
+ 3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592,
+ 3544,15688, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208,
+ 3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096,
+ 3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592,
+ 3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632,
+ 3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472,
+ 3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168,
+ 3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360,
+ 3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672,
+ 3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240,
+ 3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208,
+ 4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624,
+ 4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208,
+ 4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448,
+ 4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744,
+ 4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328,
+ 4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280,
+ 4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216,
+ 4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784,
+ 4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600,
+ 4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320,
+ 4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480,
+ 4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856,
+ 4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368,
+ 4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360,
+ 4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248,
+ 4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896,
+ 4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632,
+ 4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400,
+ 4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520,
+ 4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936,
+ 4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400,
+ 5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472,
+ 5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256,
+ 5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976,
+ 5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640,
+ 5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512,
+ 5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520,
+ 5320,7440, 5328,11536, 5336,15632, 5344,8648, 5352,7952, 5360,12048,
+ 5368,16144, 5376,9280, 5384,9296, 5392,8528, 5400,12624, 5408,9408,
+ 5416,9424, 5424,9040, 5432,13136, 5440,9536, 5448,5456, 5456,9552,
+ 5464,13648, 5472,9664, 5480,5968, 5488,10064, 5496,14160, 5504,9288,
+ 5512,6480, 5520,10576, 5528,14672, 5536,9416, 5544,6992, 5552,11088,
+ 5560,15184, 5568,9544, 5576,7504, 5584,11600, 5592,15696, 5600,9672,
+ 5608,8016, 5616,12112, 5624,16208, 5632,10304, 5640,10320, 5648,8592,
+ 5656,12688, 5664,10432, 5672,10448, 5680,9104, 5688,13200, 5696,10560,
+ 5704,10576, 5712,9616, 5720,13712, 5728,10688, 5736,6032, 5744,10128,
+ 5752,14224, 5760,10312, 5768,6544, 5776,10640, 5784,14736, 5792,10440,
+ 5800,7056, 5808,11152, 5816,15248, 5824,10568, 5832,7568, 5840,11664,
+ 5848,15760, 5856,10696, 5864,8080, 5872,12176, 5880,16272, 5888,11328,
+ 5896,11344, 5904,8656, 5912,12752, 5920,11456, 5928,11472, 5936,9168,
+ 5944,13264, 5952,11584, 5960,11600, 5968,9680, 5976,13776, 5984,11712,
+ 5992,6096, 6000,10192, 6008,14288, 6016,11336, 6024,6608, 6032,10704,
+ 6040,14800, 6048,11464, 6056,7120, 6064,11216, 6072,15312, 6080,11592,
+ 6088,7632, 6096,11728, 6104,15824, 6112,11720, 6120,8144, 6128,12240,
+ 6136,16336, 6144,12288, 6152,12304, 6160,8216, 6168,12312, 6176,12416,
+ 6184,12432, 6192,8728, 6200,12824, 6208,12544, 6216,12560, 6224,9240,
+ 6232,13336, 6240,12672, 6248,12688, 6256,9752, 6264,13848, 6272,12296,
+ 6280,12312, 6288,10264, 6296,14360, 6304,12424, 6312,6680, 6320,10776,
+ 6328,14872, 6336,12552, 6344,7192, 6352,11288, 6360,15384, 6368,12680,
+ 6376,7704, 6384,11800, 6392,15896, 6400,13312, 6408,13328, 6416,8280,
+ 6424,12376, 6432,13440, 6440,13456, 6448,8792, 6456,12888, 6464,13568,
+ 6472,13584, 6480,9304, 6488,13400, 6496,13696, 6504,13712, 6512,9816,
+ 6520,13912, 6528,13320, 6536,13336, 6544,10328, 6552,14424, 6560,13448,
+ 6568,6744, 6576,10840, 6584,14936, 6592,13576, 6600,7256, 6608,11352,
+ 6616,15448, 6624,13704, 6632,7768, 6640,11864, 6648,15960, 6656,14336,
+ 6664,14352, 6672,8344, 6680,12440, 6688,14464, 6696,14480, 6704,8856,
+ 6712,12952, 6720,14592, 6728,14608, 6736,9368, 6744,13464, 6752,14720,
+ 6760,14736, 6768,9880, 6776,13976, 6784,14344, 6792,14360, 6800,10392,
+ 6808,14488, 6816,14472, 6824,14488, 6832,10904, 6840,15000, 6848,14600,
+ 6856,7320, 6864,11416, 6872,15512, 6880,14728, 6888,7832, 6896,11928,
+ 6904,16024, 6912,15360, 6920,15376, 6928,8408, 6936,12504, 6944,15488,
+ 6952,15504, 6960,8920, 6968,13016, 6976,15616, 6984,15632, 6992,9432,
+ 7000,13528, 7008,15744, 7016,15760, 7024,9944, 7032,14040, 7040,15368,
+ 7048,15384, 7056,10456, 7064,14552, 7072,15496, 7080,15512, 7088,10968,
+ 7096,15064, 7104,15624, 7112,7384, 7120,11480, 7128,15576, 7136,15752,
+ 7144,7896, 7152,11992, 7160,16088, 7168,12352, 7176,12368, 7184,8472,
+ 7192,12568, 7200,12480, 7208,12496, 7216,8984, 7224,13080, 7232,12608,
+ 7240,12624, 7248,9496, 7256,13592, 7264,12736, 7272,12752, 7280,10008,
+ 7288,14104, 7296,12360, 7304,12376, 7312,10520, 7320,14616, 7328,12488,
+ 7336,12504, 7344,11032, 7352,15128, 7360,12616, 7368,7448, 7376,11544,
+ 7384,15640, 7392,12744, 7400,7960, 7408,12056, 7416,16152, 7424,13376,
+ 7432,13392, 7440,8536, 7448,12632, 7456,13504, 7464,13520, 7472,9048,
+ 7480,13144, 7488,13632, 7496,13648, 7504,9560, 7512,13656, 7520,13760,
+ 7528,13776, 7536,10072, 7544,14168, 7552,13384, 7560,13400, 7568,10584,
+ 7576,14680, 7584,13512, 7592,13528, 7600,11096, 7608,15192, 7616,13640,
+ 7624,13656, 7632,11608, 7640,15704, 7648,13768, 7656,8024, 7664,12120,
+ 7672,16216, 7680,14400, 7688,14416, 7696,8600, 7704,12696, 7712,14528,
+ 7720,14544, 7728,9112, 7736,13208, 7744,14656, 7752,14672, 7760,9624,
+ 7768,13720, 7776,14784, 7784,14800, 7792,10136, 7800,14232, 7808,14408,
+ 7816,14424, 7824,10648, 7832,14744, 7840,14536, 7848,14552, 7856,11160,
+ 7864,15256, 7872,14664, 7880,14680, 7888,11672, 7896,15768, 7904,14792,
+ 7912,8088, 7920,12184, 7928,16280, 7936,15424, 7944,15440, 7952,8664,
+ 7960,12760, 7968,15552, 7976,15568, 7984,9176, 7992,13272, 8000,15680,
+ 8008,15696, 8016,9688, 8024,13784, 8032,15808, 8040,15824, 8048,10200,
+ 8056,14296, 8064,15432, 8072,15448, 8080,10712, 8088,14808, 8096,15560,
+ 8104,15576, 8112,11224, 8120,15320, 8128,15688, 8136,15704, 8144,11736,
+ 8152,15832, 8160,15816, 8168,15832, 8176,12248, 8184,16344, 8200,8320,
+ 8208,8224, 8216,12320, 8232,10368, 8240,8736, 8248,12832, 8256,8448,
+ 8264,8384, 8272,9248, 8280,13344, 8288,9232, 8296,10432, 8304,9760,
+ 8312,13856, 8328,12416, 8336,10272, 8344,14368, 8352,12296, 8360,14464,
+ 8368,10784, 8376,14880, 8384,8456, 8392,12480, 8400,11296, 8408,15392,
+ 8416,12552, 8424,14528, 8432,11808, 8440,15904, 8448,9216, 8456,8576,
+ 8464,9232, 8472,12384, 8480,9248, 8488,10624, 8496,8800, 8504,12896,
+ 8512,9472, 8520,8640, 8528,9312, 8536,13408, 8544,9296, 8552,10688,
+ 8560,9824, 8568,13920, 8576,9224, 8584,12672, 8592,10336, 8600,14432,
+ 8608,13320, 8616,14720, 8624,10848, 8632,14944, 8640,9480, 8648,12736,
+ 8656,11360, 8664,15456, 8672,13576, 8680,14784, 8688,11872, 8696,15968,
+ 8704,12288, 8712,12416, 8720,12296, 8728,12448, 8736,12304, 8744,10376,
+ 8752,8864, 8760,12960, 8768,12352, 8776,12480, 8784,9376, 8792,13472,
+ 8800,12368, 8808,10440, 8816,9888, 8824,13984, 8832,12320, 8840,12424,
+ 8848,10400, 8856,14496, 8864,12312, 8872,14472, 8880,10912, 8888,15008,
+ 8896,12384, 8904,12488, 8912,11424, 8920,15520, 8928,12568, 8936,14536,
+ 8944,11936, 8952,16032, 8960,12544, 8968,12672, 8976,12552, 8984,12512,
+ 8992,12560, 9000,10632, 9008,12568, 9016,13024, 9024,12608, 9032,12736,
+ 9040,9440, 9048,13536, 9056,12624, 9064,10696, 9072,9952, 9080,14048,
+ 9088,9240, 9096,12680, 9104,10464, 9112,14560, 9120,13336, 9128,14728,
+ 9136,10976, 9144,15072, 9152,9496, 9160,12744, 9168,11488, 9176,15584,
+ 9184,13592, 9192,14792, 9200,12000, 9208,16096, 9224,9344, 9232,9248,
+ 9240,12576, 9256,11392, 9264,12560, 9272,13088, 9280,9472, 9288,9408,
+ 9296,9504, 9304,13600, 9312,9488, 9320,11456, 9328,10016, 9336,14112,
+ 9352,13440, 9360,10528, 9368,14624, 9376,12360, 9384,15488, 9392,11040,
+ 9400,15136, 9408,9480, 9416,13504, 9424,11552, 9432,15648, 9440,12616,
+ 9448,15552, 9456,12064, 9464,16160, 9480,9600, 9488,9504, 9496,12640,
+ 9512,11648, 9520,12624, 9528,13152, 9544,9664, 9552,9568, 9560,13664,
+ 9576,11712, 9584,10080, 9592,14176, 9608,13696, 9616,10592, 9624,14688,
+ 9632,13384, 9640,15744, 9648,11104, 9656,15200, 9672,13760, 9680,11616,
+ 9688,15712, 9696,13640, 9704,15808, 9712,12128, 9720,16224, 9728,13312,
+ 9736,13440, 9744,13320, 9752,12704, 9760,13328, 9768,11400, 9776,13336,
+ 9784,13216, 9792,13376, 9800,13504, 9808,13384, 9816,13728, 9824,13392,
+ 9832,11464, 9840,10144, 9848,14240, 9856,13344, 9864,13448, 9872,10656,
+ 9880,14752, 9888,12376, 9896,15496, 9904,11168, 9912,15264, 9920,13408,
+ 9928,13512, 9936,11680, 9944,15776, 9952,12632, 9960,15560, 9968,12192,
+ 9976,16288, 9984,13568, 9992,13696, 10000,13576, 10008,12768, 10016,13584,
+ 10024,11656, 10032,13592, 10040,13280, 10048,13632, 10056,13760,
+ 10064,13640, 10072,13792, 10080,13648, 10088,11720, 10096,10208,
+ 10104,14304, 10112,13600, 10120,13704, 10128,10720, 10136,14816,
+ 10144,13400, 10152,15752, 10160,11232, 10168,15328, 10176,13664,
+ 10184,13768, 10192,11744, 10200,15840, 10208,13656, 10216,15816,
+ 10224,12256, 10232,16352, 10248,10272, 10256,10368, 10264,12328,
+ 10280,10384, 10288,10376, 10296,12840, 10304,11264, 10312,11296,
+ 10320,11392, 10328,13352, 10336,11272, 10344,10448, 10352,11400,
+ 10360,13864, 10376,12432, 10392,14376, 10400,12328, 10408,14480,
+ 10416,10792, 10424,14888, 10432,11280, 10440,12496, 10448,11304,
+ 10456,15400, 10464,11288, 10472,14544, 10480,11816, 10488,15912,
+ 10496,11264, 10504,11272, 10512,11280, 10520,12392, 10528,11296,
+ 10536,10640, 10544,12496, 10552,12904, 10560,11328, 10568,11360,
+ 10576,11456, 10584,13416, 10592,11336, 10600,10704, 10608,11464,
+ 10616,13928, 10624,11392, 10632,12688, 10640,11304, 10648,14440,
+ 10656,13352, 10664,14736, 10672,10856, 10680,14952, 10688,11344,
+ 10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800,
+ 10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464,
+ 10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968,
+ 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368,
+ 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440,
+ 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488,
+ 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528,
+ 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400,
+ 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440,
+ 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552,
+ 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056,
+ 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424,
+ 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760,
+ 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008,
+ 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408,
+ 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648,
+ 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120,
+ 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440,
+ 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656,
+ 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552,
+ 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160,
+ 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720,
+ 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760,
+ 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672,
+ 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624,
+ 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728,
+ 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736,
+ 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608,
+ 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512,
+ 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760,
+ 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296,
+ 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664,
+ 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712,
+ 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816,
+ 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824,
+ 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696,
+ 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832,
+ 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544,
+ 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584,
+ 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496,
+ 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688,
+ 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920,
+ 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344,
+ 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576,
+ 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400,
+ 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448,
+ 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696,
+ 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816,
+ 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344,
+ 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976,
+ 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416,
+ 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496,
+ 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488,
+ 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536,
+ 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592,
+ 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736,
+ 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664,
+ 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064,
+ 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464,
+ 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816,
+ 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768,
+ 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576,
+ 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592,
+ 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536,
+ 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664,
+ 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616,
+ 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704,
+ 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728,
+ 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488,
+ 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384,
+ 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560,
+ 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392,
+ 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528,
+ 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464,
+ 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304,
+ 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632,
+ 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808,
+ 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704,
+ 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832,
+ 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712,
+ 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848,
+ 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600,
+ 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640,
+ 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728,
+ 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928,
+ 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384,
+ 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616,
+ 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656,
+ 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504,
+ 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528,
+ 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776,
+ 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880,
+ 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024,
+ 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232,
+ 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024,
+ 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544,
+ 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872,
+ 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016,
+ 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160,
+ 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304,
+ 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008,
+ 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152,
+ 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296,
+ 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632,
+ 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768,
+ 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760,
+ 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184,
+ 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856,
+ 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000,
+ 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160,
+ 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264,
+ 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048,
+ 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184,
+ 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264,
+ 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208,
+ 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352,
+ 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368,
+ 16328,16352, 16360,16368
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096)
+
+const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH] =
+{
+ /* radix 8, size 4032 */
+ 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512,
+ 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184,
+ 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600,
+ 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016,
+ 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432,
+ 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848,
+ 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264,
+ 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680,
+ 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160,
+ 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672,
+ 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088,
+ 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760,
+ 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176,
+ 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592,
+ 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008,
+ 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424,
+ 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840,
+ 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224,
+ 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800,
+ 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216,
+ 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632,
+ 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952,
+ 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272,
+ 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848,
+ 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168,
+ 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488,
+ 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808,
+ 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384,
+ 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768,
+ 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184,
+ 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600,
+ 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016,
+ 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336,
+ 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912,
+ 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232,
+ 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552,
+ 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872,
+ 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448,
+ 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832,
+ 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248,
+ 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664,
+ 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080,
+ 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496,
+ 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816,
+ 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392,
+ 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712,
+ 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032,
+ 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416,
+ 2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992,
+ 2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408,
+ 2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824,
+ 2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240,
+ 2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656,
+ 2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072,
+ 2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392,
+ 2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968,
+ 3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288,
+ 3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672,
+ 3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088,
+ 3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504,
+ 3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080,
+ 3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496,
+ 3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912,
+ 3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328,
+ 3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744,
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+ 18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864,
+ 18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792,
+ 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496,
+ 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328,
+ 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936,
+ 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544,
+ 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440,
+ 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368,
+ 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072,
+ 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904,
+ 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512,
+ 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408,
+ 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112,
+ 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040,
+ 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968,
+ 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576,
+ 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472,
+ 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176,
+ 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104,
+ 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032,
+ 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736,
+ 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224,
+ 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152,
+ 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080,
+ 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784,
+ 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776,
+ 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800,
+ 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728,
+ 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656,
+ 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360,
+ 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768,
+ 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696,
+ 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400,
+ 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328,
+ 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416,
+ 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760,
+ 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464,
+ 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392,
+ 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480,
+ 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920,
+ 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848,
+ 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552,
+ 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960,
+ 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080,
+ 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104,
+ 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096,
+ 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536,
+ 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656,
+ 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680,
+ 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088,
+ 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208,
+ 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648,
+ 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648,
+ 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768,
+ 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208,
+ 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808,
+ 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248,
+ 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368,
+ 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384,
+ 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824,
+ 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424,
+ 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376,
+ 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496,
+ 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024,
+ 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464,
+ 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576,
+ 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528,
+ 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640,
+ 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688,
+ 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216,
+ 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752,
+ 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312,
+ 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864,
+ 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928,
+ 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504,
+ 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632,
+ 32248,32696
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16)
+
+const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH] =
+{
+ /* radix 4, size 12 */
+ 8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32)
+const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH] =
+{
+ /* 4x2, size 24 */
+ 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+ 88,208, 104,176, 120,240, 152,200, 184,232
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64)
+const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH] =
+{
+ /* radix 4, size 56 */
+ 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+ 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+ 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128)
+const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH] =
+{
+ /* 4x2, size 112 */
+ 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+ 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+ 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+ 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+ 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+ 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256)
+const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH] =
+{
+ /* radix 4, size 240 */
+ 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+ 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+ 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+ 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+ 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+ 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+ 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+ 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+ 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+ 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+ 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+ 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+ 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+ 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512)
+const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH] =
+{
+ /* 4x2, size 480 */
+ 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+ 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+ 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+ 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+ 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+ 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+ 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+ 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+ 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+ 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+ 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+ 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+ 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+ 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+ 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+ 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+ 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+ 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+ 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+ 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+ 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+ 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+ 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+ 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+ 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+ 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+ 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+ 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+ 3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024)
+const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] =
+{
+ /* radix 4, size 992 */
+ 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608,
+ 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352,
+ 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864,
+ 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176,
+ 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688,
+ 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528,
+ 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040,
+ 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088,
+ 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696,
+ 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392,
+ 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904,
+ 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360,
+ 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544,
+ 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008,
+ 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080,
+ 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688,
+ 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432,
+ 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944,
+ 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304,
+ 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696,
+ 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536,
+ 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048,
+ 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168,
+ 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776,
+ 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960,
+ 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320,
+ 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784,
+ 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624,
+ 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112,
+ 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184,
+ 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368,
+ 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832,
+ 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264,
+ 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728,
+ 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008,
+ 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224,
+ 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664,
+ 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944,
+ 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352,
+ 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792,
+ 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072,
+ 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168,
+ 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400,
+ 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936,
+ 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784,
+ 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552,
+ 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208,
+ 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792,
+ 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000,
+ 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848,
+ 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664,
+ 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176,
+ 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384,
+ 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256,
+ 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512,
+ 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192,
+ 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496,
+ 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368,
+ 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112,
+ 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720,
+ 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312,
+ 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080,
+ 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504,
+ 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888,
+ 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680,
+ 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808,
+ 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512,
+ 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736,
+ 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048)
+const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] =
+{
+ /* 4x2, size 1984 */
+ 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024,
+ 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512,
+ 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848,
+ 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680,
+ 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400,
+ 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520,
+ 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816,
+ 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080,
+ 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416,
+ 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248,
+ 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736,
+ 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856,
+ 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576,
+ 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408,
+ 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744,
+ 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232,
+ 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064,
+ 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208,
+ 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232,
+ 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720,
+ 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840,
+ 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560,
+ 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584,
+ 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072,
+ 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904,
+ 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240,
+ 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264,
+ 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752,
+ 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776,
+ 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496,
+ 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520,
+ 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008,
+ 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032,
+ 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272,
+ 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296,
+ 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784,
+ 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808,
+ 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432,
+ 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456,
+ 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944,
+ 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968,
+ 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496,
+ 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520,
+ 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888,
+ 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608,
+ 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536,
+ 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024,
+ 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048,
+ 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192,
+ 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408,
+ 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848,
+ 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872,
+ 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496,
+ 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712,
+ 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080,
+ 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416,
+ 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344,
+ 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024,
+ 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000,
+ 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624,
+ 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840,
+ 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208,
+ 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304,
+ 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280,
+ 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672,
+ 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888,
+ 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392,
+ 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072,
+ 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096,
+ 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288,
+ 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504,
+ 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776,
+ 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688,
+ 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664,
+ 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248,
+ 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272,
+ 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392,
+ 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736,
+ 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952,
+ 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648,
+ 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992,
+ 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016,
+ 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424,
+ 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008,
+ 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888,
+ 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680,
+ 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264,
+ 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240,
+ 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264,
+ 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848,
+ 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728,
+ 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520,
+ 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104,
+ 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080,
+ 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392,
+ 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976,
+ 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856,
+ 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648,
+ 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232,
+ 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112,
+ 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328,
+ 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864,
+ 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560,
+ 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632,
+ 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096,
+ 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528,
+ 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600,
+ 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064,
+ 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832,
+ 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296,
+ 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368,
+ 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272,
+ 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736,
+ 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600,
+ 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064,
+ 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136,
+ 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400,
+ 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960,
+ 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608,
+ 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240,
+ 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312,
+ 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824,
+ 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616,
+ 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128,
+ 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200,
+ 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560,
+ 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072,
+ 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816,
+ 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328,
+ 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840,
+ 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584,
+ 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048,
+ 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504,
+ 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992,
+ 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688,
+ 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296,
+ 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952,
+ 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672,
+ 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232,
+ 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080,
+ 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848,
+ 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336,
+ 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616,
+ 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152,
+ 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024,
+ 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280,
+ 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680,
+ 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576,
+ 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344,
+ 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184,
+ 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096)
+const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] =
+{
+ /* radix 4, size 4032 */
+ 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048,
+ 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720,
+ 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312,
+ 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552,
+ 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608,
+ 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136,
+ 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728,
+ 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968,
+ 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640,
+ 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304,
+ 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976,
+ 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568,
+ 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808,
+ 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248,
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+ 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336,
+ 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912,
+ 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152,
+ 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080,
+ 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424,
+ 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664,
+ 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592,
+ 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592,
+ 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520,
+ 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664,
+ 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296,
+ 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032,
+ 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176,
+ 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040,
+ 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968,
+ 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728,
+ 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312,
+ 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384,
+ 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624,
+ 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864,
+ 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936,
+ 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328,
+ 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472,
+ 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400,
+ 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976,
+ 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904,
+ 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048,
+ 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440,
+ 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512,
+ 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584,
+ 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728,
+ 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656,
+ 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192,
+ 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120,
+ 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264,
+ 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792,
+ 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720,
+ 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448,
+ 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376,
+ 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520,
+ 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664,
+ 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784,
+ 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080,
+ 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152,
+ 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968,
+ 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112,
+ 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944,
+ 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528,
+ 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360,
+ 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744,
+ 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768,
+ 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064,
+ 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184,
+ 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328,
+ 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048,
+ 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880,
+ 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368,
+ 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488,
+ 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824,
+ 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848,
+ 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336,
+ 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168,
+ 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128,
+ 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152,
+ 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640,
+ 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664,
+ 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664,
+ 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688,
+ 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176,
+ 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200,
+ 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824,
+ 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848,
+ 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528,
+ 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552,
+ 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768,
+ 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352,
+ 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376,
+ 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048,
+ 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976,
+ 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656,
+ 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680,
+ 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752,
+ 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144,
+ 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360,
+ 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056,
+ 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496,
+ 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616,
+ 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928,
+ 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464,
+ 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064,
+ 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136,
+ 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600,
+ 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744,
+ 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208,
+ 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280,
+ 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928,
+ 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488,
+ 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848,
+ 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264,
+ 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128,
+ 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640,
+ 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784,
+ 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296,
+ 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992,
+ 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600,
+ 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448,
+ 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168,
+ 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776,
+ 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312,
+ 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568,
+ 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160,
+ 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376,
+ 31480,32120, 31736,32632, 32248,32504
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
+/**
+ @par
+ Example code for Double Precision Floating-point RFFT Twiddle factors Generation:
+ @par
+ TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'+ @par + Real and Imag values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_rfft_32[32] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, //0.19509, 0.98079 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, //0.38268, 0.92388 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, //0.55557, 0.83147 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //0.70711, 0.70711 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, //0.83147, 0.55557 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, //0.92388, 0.38268 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, //0.98079, 0.19509 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, //0.98079,-0.19509 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, //0.92388,-0.38268 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, //0.83147,-0.55557 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //0.70711,-0.70711 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, //0.55557,-0.83147 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, //0.38268,-0.92388 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, //0.19509,-0.98079 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) +const uint64_t twiddleCoefF64_rfft_64[64] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) +const uint64_t twiddleCoefF64_rfft_128[128] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) +const uint64_t twiddleCoefF64_rfft_256[256] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997 + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) +const uint64_t twiddleCoefF64_rfft_512[512] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, //0.012272, 0.99992' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997' + 0x3fa2d865759455cd, 0x3feffa72effef75d, //0.036807, 0.99932' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3faf656e79f820e0, 0x3feff095658e71ad, //0.061321, 0.99812' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //0.085797, 0.99631' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //0.085797, -0.99631' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, //0.061321, -0.99812' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, //0.036807, -0.99932' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, //0.012272, -0.99992' + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) +const uint64_t twiddleCoefF64_rfft_1024[1024] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992' + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997' + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953' + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932' + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848' + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812' + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729' + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631' + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272' + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541' + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807' + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068' + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321' + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565' + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797' + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017' + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631' + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729' + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812' + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932' + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997' + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992' + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) +const uint64_t twiddleCoefF64_rfft_2048[2048] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) +const uint64_t twiddleCoefF64_rfft_4096[4096] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, //0.0046019, 0.99999 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, //0.0076698, 0.99997 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, //0.0076698, -0.99997 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, //0.0046019, -0.99999 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 +}; + +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) +/** + @par + Example code for Floating-point RFFT Twiddle factors Generation: + @par +
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'+ @par + Real and Imag values are in interleaved fashion +*/ +const float32_t twiddleCoef_rfft_32[32] = { + 0.000000000f, 1.000000000f, + 0.195090322f, 0.980785280f, + 0.382683432f, 0.923879533f, + 0.555570233f, 0.831469612f, + 0.707106781f, 0.707106781f, + 0.831469612f, 0.555570233f, + 0.923879533f, 0.382683432f, + 0.980785280f, 0.195090322f, + 1.000000000f, 0.000000000f, + 0.980785280f, -0.195090322f, + 0.923879533f, -0.382683432f, + 0.831469612f, -0.555570233f, + 0.707106781f, -0.707106781f, + 0.555570233f, -0.831469612f, + 0.382683432f, -0.923879533f, + 0.195090322f, -0.980785280f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) +const float32_t twiddleCoef_rfft_64[64] = { + 0.000000000000000f, 1.000000000000000f, + 0.098017140329561f, 0.995184726672197f, + 0.195090322016128f, 0.980785280403230f, + 0.290284677254462f, 0.956940335732209f, + 0.382683432365090f, 0.923879532511287f, + 0.471396736825998f, 0.881921264348355f, + 0.555570233019602f, 0.831469612302545f, + 0.634393284163645f, 0.773010453362737f, + 0.707106781186547f, 0.707106781186548f, + 0.773010453362737f, 0.634393284163645f, + 0.831469612302545f, 0.555570233019602f, + 0.881921264348355f, 0.471396736825998f, + 0.923879532511287f, 0.382683432365090f, + 0.956940335732209f, 0.290284677254462f, + 0.980785280403230f, 0.195090322016128f, + 0.995184726672197f, 0.098017140329561f, + 1.000000000000000f, 0.000000000000000f, + 0.995184726672197f, -0.098017140329561f, + 0.980785280403230f, -0.195090322016128f, + 0.956940335732209f, -0.290284677254462f, + 0.923879532511287f, -0.382683432365090f, + 0.881921264348355f, -0.471396736825998f, + 0.831469612302545f, -0.555570233019602f, + 0.773010453362737f, -0.634393284163645f, + 0.707106781186548f, -0.707106781186547f, + 0.634393284163645f, -0.773010453362737f, + 0.555570233019602f, -0.831469612302545f, + 0.471396736825998f, -0.881921264348355f, + 0.382683432365090f, -0.923879532511287f, + 0.290284677254462f, -0.956940335732209f, + 0.195090322016129f, -0.980785280403230f, + 0.098017140329561f, -0.995184726672197f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) +const float32_t twiddleCoef_rfft_128[128] = { + 0.000000000f, 1.000000000f, + 0.049067674f, 0.998795456f, + 0.098017140f, 0.995184727f, + 0.146730474f, 0.989176510f, + 0.195090322f, 0.980785280f, + 0.242980180f, 0.970031253f, + 0.290284677f, 0.956940336f, + 0.336889853f, 0.941544065f, + 0.382683432f, 0.923879533f, + 0.427555093f, 0.903989293f, + 0.471396737f, 0.881921264f, + 0.514102744f, 0.857728610f, + 0.555570233f, 0.831469612f, + 0.595699304f, 0.803207531f, + 0.634393284f, 0.773010453f, + 0.671558955f, 0.740951125f, + 0.707106781f, 0.707106781f, + 0.740951125f, 0.671558955f, + 0.773010453f, 0.634393284f, + 0.803207531f, 0.595699304f, + 0.831469612f, 0.555570233f, + 0.857728610f, 0.514102744f, + 0.881921264f, 0.471396737f, + 0.903989293f, 0.427555093f, + 0.923879533f, 0.382683432f, + 0.941544065f, 0.336889853f, + 0.956940336f, 0.290284677f, + 0.970031253f, 0.242980180f, + 0.980785280f, 0.195090322f, + 0.989176510f, 0.146730474f, + 0.995184727f, 0.098017140f, + 0.998795456f, 0.049067674f, + 1.000000000f, 0.000000000f, + 0.998795456f, -0.049067674f, + 0.995184727f, -0.098017140f, + 0.989176510f, -0.146730474f, + 0.980785280f, -0.195090322f, + 0.970031253f, -0.242980180f, + 0.956940336f, -0.290284677f, + 0.941544065f, -0.336889853f, + 0.923879533f, -0.382683432f, + 0.903989293f, -0.427555093f, + 0.881921264f, -0.471396737f, + 0.857728610f, -0.514102744f, + 0.831469612f, -0.555570233f, + 0.803207531f, -0.595699304f, + 0.773010453f, -0.634393284f, + 0.740951125f, -0.671558955f, + 0.707106781f, -0.707106781f, + 0.671558955f, -0.740951125f, + 0.634393284f, -0.773010453f, + 0.595699304f, -0.803207531f, + 0.555570233f, -0.831469612f, + 0.514102744f, -0.857728610f, + 0.471396737f, -0.881921264f, + 0.427555093f, -0.903989293f, + 0.382683432f, -0.923879533f, + 0.336889853f, -0.941544065f, + 0.290284677f, -0.956940336f, + 0.242980180f, -0.970031253f, + 0.195090322f, -0.980785280f, + 0.146730474f, -0.989176510f, + 0.098017140f, -0.995184727f, + 0.049067674f, -0.998795456f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) +const float32_t twiddleCoef_rfft_256[256] = { + 0.000000000f, 1.000000000f, + 0.024541229f, 0.999698819f, + 0.049067674f, 0.998795456f, + 0.073564564f, 0.997290457f, + 0.098017140f, 0.995184727f, + 0.122410675f, 0.992479535f, + 0.146730474f, 0.989176510f, + 0.170961889f, 0.985277642f, + 0.195090322f, 0.980785280f, + 0.219101240f, 0.975702130f, + 0.242980180f, 0.970031253f, + 0.266712757f, 0.963776066f, + 0.290284677f, 0.956940336f, + 0.313681740f, 0.949528181f, + 0.336889853f, 0.941544065f, + 0.359895037f, 0.932992799f, + 0.382683432f, 0.923879533f, + 0.405241314f, 0.914209756f, + 0.427555093f, 0.903989293f, + 0.449611330f, 0.893224301f, + 0.471396737f, 0.881921264f, + 0.492898192f, 0.870086991f, + 0.514102744f, 0.857728610f, + 0.534997620f, 0.844853565f, + 0.555570233f, 0.831469612f, + 0.575808191f, 0.817584813f, + 0.595699304f, 0.803207531f, + 0.615231591f, 0.788346428f, + 0.634393284f, 0.773010453f, + 0.653172843f, 0.757208847f, + 0.671558955f, 0.740951125f, + 0.689540545f, 0.724247083f, + 0.707106781f, 0.707106781f, + 0.724247083f, 0.689540545f, + 0.740951125f, 0.671558955f, + 0.757208847f, 0.653172843f, + 0.773010453f, 0.634393284f, + 0.788346428f, 0.615231591f, + 0.803207531f, 0.595699304f, + 0.817584813f, 0.575808191f, + 0.831469612f, 0.555570233f, + 0.844853565f, 0.534997620f, + 0.857728610f, 0.514102744f, + 0.870086991f, 0.492898192f, + 0.881921264f, 0.471396737f, + 0.893224301f, 0.449611330f, + 0.903989293f, 0.427555093f, + 0.914209756f, 0.405241314f, + 0.923879533f, 0.382683432f, + 0.932992799f, 0.359895037f, + 0.941544065f, 0.336889853f, + 0.949528181f, 0.313681740f, + 0.956940336f, 0.290284677f, + 0.963776066f, 0.266712757f, + 0.970031253f, 0.242980180f, + 0.975702130f, 0.219101240f, + 0.980785280f, 0.195090322f, + 0.985277642f, 0.170961889f, + 0.989176510f, 0.146730474f, + 0.992479535f, 0.122410675f, + 0.995184727f, 0.098017140f, + 0.997290457f, 0.073564564f, + 0.998795456f, 0.049067674f, + 0.999698819f, 0.024541229f, + 1.000000000f, 0.000000000f, + 0.999698819f, -0.024541229f, + 0.998795456f, -0.049067674f, + 0.997290457f, -0.073564564f, + 0.995184727f, -0.098017140f, + 0.992479535f, -0.122410675f, + 0.989176510f, -0.146730474f, + 0.985277642f, -0.170961889f, + 0.980785280f, -0.195090322f, + 0.975702130f, -0.219101240f, + 0.970031253f, -0.242980180f, + 0.963776066f, -0.266712757f, + 0.956940336f, -0.290284677f, + 0.949528181f, -0.313681740f, + 0.941544065f, -0.336889853f, + 0.932992799f, -0.359895037f, + 0.923879533f, -0.382683432f, + 0.914209756f, -0.405241314f, + 0.903989293f, -0.427555093f, + 0.893224301f, -0.449611330f, + 0.881921264f, -0.471396737f, + 0.870086991f, -0.492898192f, + 0.857728610f, -0.514102744f, + 0.844853565f, -0.534997620f, + 0.831469612f, -0.555570233f, + 0.817584813f, -0.575808191f, + 0.803207531f, -0.595699304f, + 0.788346428f, -0.615231591f, + 0.773010453f, -0.634393284f, + 0.757208847f, -0.653172843f, + 0.740951125f, -0.671558955f, + 0.724247083f, -0.689540545f, + 0.707106781f, -0.707106781f, + 0.689540545f, -0.724247083f, + 0.671558955f, -0.740951125f, + 0.653172843f, -0.757208847f, + 0.634393284f, -0.773010453f, + 0.615231591f, -0.788346428f, + 0.595699304f, -0.803207531f, + 0.575808191f, -0.817584813f, + 0.555570233f, -0.831469612f, + 0.534997620f, -0.844853565f, + 0.514102744f, -0.857728610f, + 0.492898192f, -0.870086991f, + 0.471396737f, -0.881921264f, + 0.449611330f, -0.893224301f, + 0.427555093f, -0.903989293f, + 0.405241314f, -0.914209756f, + 0.382683432f, -0.923879533f, + 0.359895037f, -0.932992799f, + 0.336889853f, -0.941544065f, + 0.313681740f, -0.949528181f, + 0.290284677f, -0.956940336f, + 0.266712757f, -0.963776066f, + 0.242980180f, -0.970031253f, + 0.219101240f, -0.975702130f, + 0.195090322f, -0.980785280f, + 0.170961889f, -0.985277642f, + 0.146730474f, -0.989176510f, + 0.122410675f, -0.992479535f, + 0.098017140f, -0.995184727f, + 0.073564564f, -0.997290457f, + 0.049067674f, -0.998795456f, + 0.024541229f, -0.999698819f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) +const float32_t twiddleCoef_rfft_512[512] = { + 0.000000000f, 1.000000000f, + 0.012271538f, 0.999924702f, + 0.024541229f, 0.999698819f, + 0.036807223f, 0.999322385f, + 0.049067674f, 0.998795456f, + 0.061320736f, 0.998118113f, + 0.073564564f, 0.997290457f, + 0.085797312f, 0.996312612f, + 0.098017140f, 0.995184727f, + 0.110222207f, 0.993906970f, + 0.122410675f, 0.992479535f, + 0.134580709f, 0.990902635f, + 0.146730474f, 0.989176510f, + 0.158858143f, 0.987301418f, + 0.170961889f, 0.985277642f, + 0.183039888f, 0.983105487f, + 0.195090322f, 0.980785280f, + 0.207111376f, 0.978317371f, + 0.219101240f, 0.975702130f, + 0.231058108f, 0.972939952f, + 0.242980180f, 0.970031253f, + 0.254865660f, 0.966976471f, + 0.266712757f, 0.963776066f, + 0.278519689f, 0.960430519f, + 0.290284677f, 0.956940336f, + 0.302005949f, 0.953306040f, + 0.313681740f, 0.949528181f, + 0.325310292f, 0.945607325f, + 0.336889853f, 0.941544065f, + 0.348418680f, 0.937339012f, + 0.359895037f, 0.932992799f, + 0.371317194f, 0.928506080f, + 0.382683432f, 0.923879533f, + 0.393992040f, 0.919113852f, + 0.405241314f, 0.914209756f, + 0.416429560f, 0.909167983f, + 0.427555093f, 0.903989293f, + 0.438616239f, 0.898674466f, + 0.449611330f, 0.893224301f, + 0.460538711f, 0.887639620f, + 0.471396737f, 0.881921264f, + 0.482183772f, 0.876070094f, + 0.492898192f, 0.870086991f, + 0.503538384f, 0.863972856f, + 0.514102744f, 0.857728610f, + 0.524589683f, 0.851355193f, + 0.534997620f, 0.844853565f, + 0.545324988f, 0.838224706f, + 0.555570233f, 0.831469612f, + 0.565731811f, 0.824589303f, + 0.575808191f, 0.817584813f, + 0.585797857f, 0.810457198f, + 0.595699304f, 0.803207531f, + 0.605511041f, 0.795836905f, + 0.615231591f, 0.788346428f, + 0.624859488f, 0.780737229f, + 0.634393284f, 0.773010453f, + 0.643831543f, 0.765167266f, + 0.653172843f, 0.757208847f, + 0.662415778f, 0.749136395f, + 0.671558955f, 0.740951125f, + 0.680600998f, 0.732654272f, + 0.689540545f, 0.724247083f, + 0.698376249f, 0.715730825f, + 0.707106781f, 0.707106781f, + 0.715730825f, 0.698376249f, + 0.724247083f, 0.689540545f, + 0.732654272f, 0.680600998f, + 0.740951125f, 0.671558955f, + 0.749136395f, 0.662415778f, + 0.757208847f, 0.653172843f, + 0.765167266f, 0.643831543f, + 0.773010453f, 0.634393284f, + 0.780737229f, 0.624859488f, + 0.788346428f, 0.615231591f, + 0.795836905f, 0.605511041f, + 0.803207531f, 0.595699304f, + 0.810457198f, 0.585797857f, + 0.817584813f, 0.575808191f, + 0.824589303f, 0.565731811f, + 0.831469612f, 0.555570233f, + 0.838224706f, 0.545324988f, + 0.844853565f, 0.534997620f, + 0.851355193f, 0.524589683f, + 0.857728610f, 0.514102744f, + 0.863972856f, 0.503538384f, + 0.870086991f, 0.492898192f, + 0.876070094f, 0.482183772f, + 0.881921264f, 0.471396737f, + 0.887639620f, 0.460538711f, + 0.893224301f, 0.449611330f, + 0.898674466f, 0.438616239f, + 0.903989293f, 0.427555093f, + 0.909167983f, 0.416429560f, + 0.914209756f, 0.405241314f, + 0.919113852f, 0.393992040f, + 0.923879533f, 0.382683432f, + 0.928506080f, 0.371317194f, + 0.932992799f, 0.359895037f, + 0.937339012f, 0.348418680f, + 0.941544065f, 0.336889853f, + 0.945607325f, 0.325310292f, + 0.949528181f, 0.313681740f, + 0.953306040f, 0.302005949f, + 0.956940336f, 0.290284677f, + 0.960430519f, 0.278519689f, + 0.963776066f, 0.266712757f, + 0.966976471f, 0.254865660f, + 0.970031253f, 0.242980180f, + 0.972939952f, 0.231058108f, + 0.975702130f, 0.219101240f, + 0.978317371f, 0.207111376f, + 0.980785280f, 0.195090322f, + 0.983105487f, 0.183039888f, + 0.985277642f, 0.170961889f, + 0.987301418f, 0.158858143f, + 0.989176510f, 0.146730474f, + 0.990902635f, 0.134580709f, + 0.992479535f, 0.122410675f, + 0.993906970f, 0.110222207f, + 0.995184727f, 0.098017140f, + 0.996312612f, 0.085797312f, + 0.997290457f, 0.073564564f, + 0.998118113f, 0.061320736f, + 0.998795456f, 0.049067674f, + 0.999322385f, 0.036807223f, + 0.999698819f, 0.024541229f, + 0.999924702f, 0.012271538f, + 1.000000000f, 0.000000000f, + 0.999924702f, -0.012271538f, + 0.999698819f, -0.024541229f, + 0.999322385f, -0.036807223f, + 0.998795456f, -0.049067674f, + 0.998118113f, -0.061320736f, + 0.997290457f, -0.073564564f, + 0.996312612f, -0.085797312f, + 0.995184727f, -0.098017140f, + 0.993906970f, -0.110222207f, + 0.992479535f, -0.122410675f, + 0.990902635f, -0.134580709f, + 0.989176510f, -0.146730474f, + 0.987301418f, -0.158858143f, + 0.985277642f, -0.170961889f, + 0.983105487f, -0.183039888f, + 0.980785280f, -0.195090322f, + 0.978317371f, -0.207111376f, + 0.975702130f, -0.219101240f, + 0.972939952f, -0.231058108f, + 0.970031253f, -0.242980180f, + 0.966976471f, -0.254865660f, + 0.963776066f, -0.266712757f, + 0.960430519f, -0.278519689f, + 0.956940336f, -0.290284677f, + 0.953306040f, -0.302005949f, + 0.949528181f, -0.313681740f, + 0.945607325f, -0.325310292f, + 0.941544065f, -0.336889853f, + 0.937339012f, -0.348418680f, + 0.932992799f, -0.359895037f, + 0.928506080f, -0.371317194f, + 0.923879533f, -0.382683432f, + 0.919113852f, -0.393992040f, + 0.914209756f, -0.405241314f, + 0.909167983f, -0.416429560f, + 0.903989293f, -0.427555093f, + 0.898674466f, -0.438616239f, + 0.893224301f, -0.449611330f, + 0.887639620f, -0.460538711f, + 0.881921264f, 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-0.990695025f, + 0.134580709f, -0.990902635f, + 0.133060525f, -0.991107914f, + 0.131540029f, -0.991310860f, + 0.130019223f, -0.991511473f, + 0.128498111f, -0.991709754f, + 0.126976696f, -0.991905700f, + 0.125454983f, -0.992099313f, + 0.123932975f, -0.992290591f, + 0.122410675f, -0.992479535f, + 0.120888087f, -0.992666142f, + 0.119365215f, -0.992850414f, + 0.117842062f, -0.993032350f, + 0.116318631f, -0.993211949f, + 0.114794927f, -0.993389211f, + 0.113270952f, -0.993564136f, + 0.111746711f, -0.993736722f, + 0.110222207f, -0.993906970f, + 0.108697444f, -0.994074879f, + 0.107172425f, -0.994240449f, + 0.105647154f, -0.994403680f, + 0.104121634f, -0.994564571f, + 0.102595869f, -0.994723121f, + 0.101069863f, -0.994879331f, + 0.099543619f, -0.995033199f, + 0.098017140f, -0.995184727f, + 0.096490431f, -0.995333912f, + 0.094963495f, -0.995480755f, + 0.093436336f, -0.995625256f, + 0.091908956f, -0.995767414f, + 0.090381361f, -0.995907229f, + 0.088853553f, -0.996044701f, + 0.087325535f, -0.996179829f, + 0.085797312f, -0.996312612f, + 0.084268888f, -0.996443051f, + 0.082740265f, -0.996571146f, + 0.081211447f, -0.996696895f, + 0.079682438f, -0.996820299f, + 0.078153242f, -0.996941358f, + 0.076623861f, -0.997060070f, + 0.075094301f, -0.997176437f, + 0.073564564f, -0.997290457f, + 0.072034653f, -0.997402130f, + 0.070504573f, -0.997511456f, + 0.068974328f, -0.997618435f, + 0.067443920f, -0.997723067f, + 0.065913353f, -0.997825350f, + 0.064382631f, -0.997925286f, + 0.062851758f, -0.998022874f, + 0.061320736f, -0.998118113f, + 0.059789571f, -0.998211003f, + 0.058258265f, -0.998301545f, + 0.056726821f, -0.998389737f, + 0.055195244f, -0.998475581f, + 0.053663538f, -0.998559074f, + 0.052131705f, -0.998640218f, + 0.050599749f, -0.998719012f, + 0.049067674f, -0.998795456f, + 0.047535484f, -0.998869550f, + 0.046003182f, -0.998941293f, + 0.044470772f, -0.999010686f, + 0.042938257f, -0.999077728f, + 0.041405641f, -0.999142419f, + 0.039872928f, -0.999204759f, + 0.038340120f, -0.999264747f, + 0.036807223f, -0.999322385f, + 0.035274239f, -0.999377670f, + 0.033741172f, -0.999430605f, + 0.032208025f, -0.999481187f, + 0.030674803f, -0.999529418f, + 0.029141509f, -0.999575296f, + 0.027608146f, -0.999618822f, + 0.026074718f, -0.999659997f, + 0.024541229f, -0.999698819f, + 0.023007681f, -0.999735288f, + 0.021474080f, -0.999769405f, + 0.019940429f, -0.999801170f, + 0.018406730f, -0.999830582f, + 0.016872988f, -0.999857641f, + 0.015339206f, -0.999882347f, + 0.013805389f, -0.999904701f, + 0.012271538f, -0.999924702f, + 0.010737659f, -0.999942350f, + 0.009203755f, -0.999957645f, + 0.007669829f, -0.999970586f, + 0.006135885f, -0.999981175f, + 0.004601926f, -0.999989411f, + 0.003067957f, -0.999995294f, + 0.001533980f, -0.999998823f +}; + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALL_TABLES) */ + +/** + @ingroup RealFFT + */ + +/** + @addtogroup RealFFT_Table Real FFT Tables + @{ + */ + +/** + @par + Generation of realCoefA array: + @par + n = 4096 +
for (i = 0; i < n; i++)
+ {
+ pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+ pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32)
+const float32_t realCoefA[8192] = {
+ 0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f,
+ 0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f,
+ 0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f,
+ 0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f,
+ 0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f,
+ 0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f,
+ 0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f,
+ 0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f,
+ 0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f,
+ 0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f,
+ 0.492330402135849f, -0.499941170215607f, 0.491946935653687f, -0.499935150146484f,
+ 0.491563498973846f, -0.499928832054138f, 0.491180062294006f, -0.499922215938568f,
+ 0.490796625614166f, -0.499915301799774f, 0.490413218736649f, -0.499908089637756f,
+ 0.490029782056808f, -0.499900579452515f, 0.489646375179291f, -0.499892801046371f,
+ 0.489262968301773f, -0.499884694814682f, 0.488879561424255f, -0.499876320362091f,
+ 0.488496154546738f, -0.499867647886276f, 0.488112777471542f, -0.499858677387238f,
+ 0.487729400396347f, -0.499849408864975f, 0.487346023321152f, -0.499839842319489f,
+ 0.486962646245956f, -0.499830007553101f, 0.486579269170761f, -0.499819844961166f,
+ 0.486195921897888f, -0.499809414148331f, 0.485812574625015f, -0.499798685312271f,
+ 0.485429257154465f, -0.499787658452988f, 0.485045909881592f, -0.499776333570480f,
+ 0.484662592411041f, -0.499764710664749f, 0.484279274940491f, -0.499752789735794f,
+ 0.483895987272263f, -0.499740600585938f, 0.483512699604034f, -0.499728083610535f,
+ 0.483129411935806f, -0.499715298414230f, 0.482746154069901f, -0.499702215194702f,
+ 0.482362866401672f, -0.499688833951950f, 0.481979638338089f, -0.499675154685974f,
+ 0.481596380472183f, -0.499661177396774f, 0.481213152408600f, -0.499646931886673f,
+ 0.480829954147339f, -0.499632388353348f, 0.480446726083755f, -0.499617516994476f,
+ 0.480063527822495f, -0.499602377414703f, 0.479680359363556f, -0.499586939811707f,
+ 0.479297190904617f, -0.499571204185486f, 0.478914022445679f, -0.499555170536041f,
+ 0.478530883789063f, -0.499538868665695f, 0.478147745132446f, -0.499522238969803f,
+ 0.477764606475830f, -0.499505341053009f, 0.477381497621536f, -0.499488145112991f,
+ 0.476998418569565f, -0.499470651149750f, 0.476615339517593f, -0.499452859163284f,
+ 0.476232260465622f, -0.499434769153595f, 0.475849211215973f, -0.499416410923004f,
+ 0.475466161966324f, -0.499397724866867f, 0.475083142518997f, -0.499378770589828f,
+ 0.474700123071671f, -0.499359518289566f, 0.474317133426666f, -0.499339967966080f,
+ 0.473934143781662f, -0.499320119619370f, 0.473551183938980f, -0.499299973249435f,
+ 0.473168224096298f, -0.499279528856277f, 0.472785294055939f, -0.499258816242218f,
+ 0.472402364015579f, -0.499237775802612f, 0.472019463777542f, -0.499216467142105f,
+ 0.471636593341827f, -0.499194860458374f, 0.471253722906113f, -0.499172955751419f,
+ 0.470870882272720f, -0.499150782823563f, 0.470488041639328f, -0.499128282070160f,
+ 0.470105201005936f, -0.499105513095856f, 0.469722419977188f, -0.499082416296005f,
+ 0.469339638948441f, -0.499059051275253f, 0.468956857919693f, -0.499035388231277f,
+ 0.468574106693268f, -0.499011427164078f, 0.468191385269165f, -0.498987197875977f,
+ 0.467808693647385f, -0.498962640762329f, 0.467426002025604f, -0.498937815427780f,
+ 0.467043310403824f, -0.498912662267685f, 0.466660678386688f, -0.498887240886688f,
+ 0.466278046369553f, -0.498861521482468f, 0.465895414352417f, -0.498835533857346f,
+ 0.465512841939926f, -0.498809218406677f, 0.465130269527435f, -0.498782604932785f,
+ 0.464747726917267f, -0.498755723237991f, 0.464365184307098f, -0.498728543519974f,
+ 0.463982671499252f, -0.498701065778732f, 0.463600188493729f, -0.498673290014267f,
+ 0.463217705488205f, -0.498645216226578f, 0.462835282087326f, -0.498616874217987f,
+ 0.462452858686447f, -0.498588204383850f, 0.462070435285568f, -0.498559266328812f,
+ 0.461688071489334f, -0.498530030250549f, 0.461305707693100f, -0.498500496149063f,
+ 0.460923373699188f, -0.498470664024353f, 0.460541069507599f, -0.498440563678741f,
+ 0.460158795118332f, -0.498410135507584f, 0.459776520729065f, -0.498379439115524f,
+ 0.459394276142120f, -0.498348444700241f, 0.459012061357498f, -0.498317152261734f,
+ 0.458629876375198f, -0.498285561800003f, 0.458247691392899f, -0.498253703117371f,
+ 0.457865566015244f, -0.498221516609192f, 0.457483440637589f, -0.498189061880112f,
+ 0.457101345062256f, -0.498156309127808f, 0.456719279289246f, -0.498123258352280f,
+ 0.456337243318558f, -0.498089909553528f, 0.455955207347870f, -0.498056292533875f,
+ 0.455573230981827f, -0.498022347688675f, 0.455191254615784f, -0.497988134622574f,
+ 0.454809308052063f, -0.497953623533249f, 0.454427421092987f, -0.497918814420700f,
+ 0.454045534133911f, -0.497883707284927f, 0.453663676977158f, -0.497848302125931f,
+ 0.453281819820404f, -0.497812628746033f, 0.452900022268295f, -0.497776657342911f,
+ 0.452518254518509f, -0.497740387916565f, 0.452136516571045f, -0.497703820466995f,
+ 0.451754778623581f, -0.497666954994202f, 0.451373100280762f, -0.497629791498184f,
+ 0.450991421937943f, -0.497592359781265f, 0.450609803199768f, -0.497554630041122f,
+ 0.450228184461594f, -0.497516602277756f, 0.449846625328064f, -0.497478276491165f,
+ 0.449465066194534f, -0.497439652681351f, 0.449083566665649f, -0.497400760650635f,
+ 0.448702067136765f, -0.497361570596695f, 0.448320597410202f, -0.497322082519531f,
+ 0.447939187288284f, -0.497282296419144f, 0.447557777166367f, -0.497242212295532f,
+ 0.447176426649094f, -0.497201830148697f, 0.446795076131821f, -0.497161179780960f,
+ 0.446413785219193f, -0.497120231389999f, 0.446032524108887f, -0.497078984975815f,
+ 0.445651292800903f, -0.497037440538406f, 0.445270061492920f, -0.496995598077774f,
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+ 0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f,
+ 0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f,
+ 0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f,
+ 0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f,
+ 0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f,
+ 0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f,
+ 0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f,
+ 0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f,
+ 0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f,
+ 0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f,
+ 0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f,
+ 0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f,
+ 0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f,
+ 0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f,
+};
+
+
+/**
+ @par
+ Generation of realCoefB array:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+ pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ */
+
+const float32_t realCoefB[8192] = {
+ 0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f,
+ 0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f,
+ 0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f,
+ 0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f,
+ 0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f,
+ 0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f,
+ 0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f,
+ 0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f,
+ 0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f,
+ 0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f,
+ 0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f,
+ 0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f,
+ 0.509203374385834f, 0.499915301799774f, 0.509586811065674f, 0.499908089637756f,
+ 0.509970188140869f, 0.499900579452515f, 0.510353624820709f, 0.499892801046371f,
+ 0.510737061500549f, 0.499884694814682f, 0.511120438575745f, 0.499876320362091f,
+ 0.511503815650940f, 0.499867647886276f, 0.511887252330780f, 0.499858677387238f,
+ 0.512270629405975f, 0.499849408864975f, 0.512654006481171f, 0.499839842319489f,
+ 0.513037383556366f, 0.499830007553101f, 0.513420701026917f, 0.499819844961166f,
+ 0.513804078102112f, 0.499809414148331f, 0.514187395572662f, 0.499798685312271f,
+ 0.514570772647858f, 0.499787658452988f, 0.514954090118408f, 0.499776333570480f,
+ 0.515337407588959f, 0.499764710664749f, 0.515720725059509f, 0.499752789735794f,
+ 0.516103982925415f, 0.499740600585938f, 0.516487300395966f, 0.499728083610535f,
+ 0.516870558261871f, 0.499715298414230f, 0.517253875732422f, 0.499702215194702f,
+ 0.517637133598328f, 0.499688833951950f, 0.518020391464233f, 0.499675154685974f,
+ 0.518403589725494f, 0.499661177396774f, 0.518786847591400f, 0.499646931886673f,
+ 0.519170045852661f, 0.499632388353348f, 0.519553244113922f, 0.499617516994476f,
+ 0.519936442375183f, 0.499602377414703f, 0.520319640636444f, 0.499586939811707f,
+ 0.520702838897705f, 0.499571204185486f, 0.521085977554321f, 0.499555170536041f,
+ 0.521469116210938f, 0.499538868665695f, 0.521852254867554f, 0.499522238969803f,
+ 0.522235393524170f, 0.499505341053009f, 0.522618472576141f, 0.499488145112991f,
+ 0.523001611232758f, 0.499470651149750f, 0.523384690284729f, 0.499452859163284f,
+ 0.523767769336700f, 0.499434769153595f, 0.524150788784027f, 0.499416410923004f,
+ 0.524533808231354f, 0.499397724866867f, 0.524916887283325f, 0.499378770589828f,
+ 0.525299847126007f, 0.499359518289566f, 0.525682866573334f, 0.499339967966080f,
+ 0.526065826416016f, 0.499320119619370f, 0.526448845863342f, 0.499299973249435f,
+ 0.526831746101379f, 0.499279528856277f, 0.527214705944061f, 0.499258816242218f,
+ 0.527597606182098f, 0.499237775802612f, 0.527980506420136f, 0.499216467142105f,
+ 0.528363406658173f, 0.499194860458374f, 0.528746306896210f, 0.499172955751419f,
+ 0.529129147529602f, 0.499150782823563f, 0.529511988162994f, 0.499128282070160f,
+ 0.529894769191742f, 0.499105513095856f, 0.530277609825134f, 0.499082416296005f,
+ 0.530660390853882f, 0.499059051275253f, 0.531043112277985f, 0.499035388231277f,
+ 0.531425893306732f, 0.499011427164078f, 0.531808614730835f, 0.498987197875977f,
+ 0.532191336154938f, 0.498962640762329f, 0.532573997974396f, 0.498937815427780f,
+ 0.532956659793854f, 0.498912662267685f, 0.533339321613312f, 0.498887240886688f,
+ 0.533721983432770f, 0.498861521482468f, 0.534104585647583f, 0.498835533857346f,
+ 0.534487187862396f, 0.498809218406677f, 0.534869730472565f, 0.498782604932785f,
+ 0.535252273082733f, 0.498755723237991f, 0.535634815692902f, 0.498728543519974f,
+ 0.536017298698425f, 0.498701065778732f, 0.536399841308594f, 0.498673290014267f,
+ 0.536782264709473f, 0.498645216226578f, 0.537164747714996f, 0.498616874217987f,
+ 0.537547171115875f, 0.498588204383850f, 0.537929534912109f, 0.498559266328812f,
+ 0.538311958312988f, 0.498530030250549f, 0.538694262504578f, 0.498500496149063f,
+ 0.539076626300812f, 0.498470664024353f, 0.539458930492401f, 0.498440563678741f,
+ 0.539841234683990f, 0.498410135507584f, 0.540223479270935f, 0.498379439115524f,
+ 0.540605723857880f, 0.498348444700241f, 0.540987968444824f, 0.498317152261734f,
+ 0.541370153427124f, 0.498285561800003f, 0.541752278804779f, 0.498253703117371f,
+ 0.542134463787079f, 0.498221516609192f, 0.542516589164734f, 0.498189061880112f,
+ 0.542898654937744f, 0.498156309127808f, 0.543280720710754f, 0.498123258352280f,
+ 0.543662786483765f, 0.498089909553528f, 0.544044792652130f, 0.498056292533875f,
+ 0.544426798820496f, 0.498022347688675f, 0.544808745384216f, 0.497988134622574f,
+ 0.545190691947937f, 0.497953623533249f, 0.545572578907013f, 0.497918814420700f,
+ 0.545954465866089f, 0.497883707284927f, 0.546336352825165f, 0.497848302125931f,
+ 0.546718180179596f, 0.497812628746033f, 0.547099947929382f, 0.497776657342911f,
+ 0.547481775283813f, 0.497740387916565f, 0.547863483428955f, 0.497703820466995f,
+ 0.548245191574097f, 0.497666954994202f, 0.548626899719238f, 0.497629791498184f,
+ 0.549008548259735f, 0.497592359781265f, 0.549390196800232f, 0.497554630041122f,
+ 0.549771785736084f, 0.497516602277756f, 0.550153374671936f, 0.497478276491165f,
+ 0.550534904003143f, 0.497439652681351f, 0.550916433334351f, 0.497400760650635f,
+ 0.551297962665558f, 0.497361570596695f, 0.551679372787476f, 0.497322082519531f,
+ 0.552060842514038f, 0.497282296419144f, 0.552442193031311f, 0.497242212295532f,
+ 0.552823603153229f, 0.497201830148697f, 0.553204894065857f, 0.497161179780960f,
+ 0.553586184978485f, 0.497120231389999f, 0.553967475891113f, 0.497078984975815f,
+ 0.554348707199097f, 0.497037440538406f, 0.554729938507080f, 0.496995598077774f,
+ 0.555111110210419f, 0.496953487396240f, 0.555492222309113f, 0.496911078691483f,
+ 0.555873334407806f, 0.496868371963501f, 0.556254446506500f, 0.496825367212296f,
+ 0.556635499000549f, 0.496782064437866f, 0.557016491889954f, 0.496738493442535f,
+ 0.557397484779358f, 0.496694594621658f, 0.557778418064117f, 0.496650427579880f,
+ 0.558159291744232f, 0.496605962514877f, 0.558540165424347f, 0.496561229228973f,
+ 0.558921039104462f, 0.496516168117523f, 0.559301853179932f, 0.496470838785172f,
+ 0.559682607650757f, 0.496425211429596f, 0.560063362121582f, 0.496379286050797f,
+ 0.560444056987762f, 0.496333062648773f, 0.560824692249298f, 0.496286571025848f,
+ 0.561205327510834f, 0.496239781379700f, 0.561585903167725f, 0.496192663908005f,
+ 0.561966478824615f, 0.496145308017731f, 0.562346994876862f, 0.496097624301910f,
+ 0.562727510929108f, 0.496049642562866f, 0.563107967376709f, 0.496001392602921f,
+ 0.563488364219666f, 0.495952844619751f, 0.563868701457977f, 0.495903998613358f,
+ 0.564249038696289f, 0.495854884386063f, 0.564629375934601f, 0.495805442333221f,
+ 0.565009593963623f, 0.495755732059479f, 0.565389811992645f, 0.495705723762512f,
+ 0.565770030021667f, 0.495655417442322f, 0.566150128841400f, 0.495604842901230f,
+ 0.566530287265778f, 0.495553970336914f, 0.566910326480865f, 0.495502769947052f,
+ 0.567290365695953f, 0.495451331138611f, 0.567670345306396f, 0.495399564504623f,
+ 0.568050265312195f, 0.495347499847412f, 0.568430185317993f, 0.495295166969299f,
+ 0.568810045719147f, 0.495242536067963f, 0.569189906120300f, 0.495189607143402f,
+ 0.569569647312164f, 0.495136409997940f, 0.569949388504028f, 0.495082914829254f,
+ 0.570329129695892f, 0.495029091835022f, 0.570708811283112f, 0.494975030422211f,
+ 0.571088373661041f, 0.494920641183853f, 0.571467995643616f, 0.494865983724594f,
+ 0.571847498416901f, 0.494810998439789f, 0.572227001190186f, 0.494755744934082f,
+ 0.572606444358826f, 0.494700223207474f, 0.572985887527466f, 0.494644373655319f,
+ 0.573365211486816f, 0.494588255882263f, 0.573744535446167f, 0.494531840085983f,
+ 0.574123859405518f, 0.494475126266479f, 0.574503064155579f, 0.494418144226074f,
+ 0.574882268905640f, 0.494360834360123f, 0.575261414051056f, 0.494303256273270f,
+ 0.575640499591827f, 0.494245409965515f, 0.576019585132599f, 0.494187235832214f,
+ 0.576398611068726f, 0.494128793478012f, 0.576777577400208f, 0.494070053100586f,
+ 0.577156484127045f, 0.494011014699936f, 0.577535390853882f, 0.493951678276062f,
+ 0.577914178371429f, 0.493892073631287f, 0.578292965888977f, 0.493832170963287f,
+ 0.578671753406525f, 0.493771970272064f, 0.579050421714783f, 0.493711471557617f,
+ 0.579429090023041f, 0.493650704622269f, 0.579807698726654f, 0.493589639663696f,
+ 0.580186247825623f, 0.493528276681900f, 0.580564737319946f, 0.493466645479202f,
+ 0.580943167209625f, 0.493404686450958f, 0.581321597099304f, 0.493342459201813f,
+ 0.581699967384338f, 0.493279963731766f, 0.582078278064728f, 0.493217140436172f,
+ 0.582456588745117f, 0.493154048919678f, 0.582834780216217f, 0.493090659379959f,
+ 0.583212971687317f, 0.493026971817017f, 0.583591103553772f, 0.492963016033173f,
+ 0.583969175815582f, 0.492898762226105f, 0.584347188472748f, 0.492834210395813f,
+ 0.584725141525269f, 0.492769360542297f, 0.585103094577789f, 0.492704242467880f,
+ 0.585480928421021f, 0.492638826370239f, 0.585858762264252f, 0.492573112249374f,
+ 0.586236536502838f, 0.492507129907608f, 0.586614251136780f, 0.492440819740295f,
+ 0.586991965770721f, 0.492374241352081f, 0.587369561195374f, 0.492307394742966f,
+ 0.587747097015381f, 0.492240220308304f, 0.588124632835388f, 0.492172777652740f,
+ 0.588502109050751f, 0.492105036973953f, 0.588879525661469f, 0.492037028074265f,
+ 0.589256882667542f, 0.491968721151352f, 0.589634180068970f, 0.491900116205215f,
+ 0.590011477470398f, 0.491831213235855f, 0.590388655662537f, 0.491762012243271f,
+ 0.590765833854675f, 0.491692543029785f, 0.591142892837524f, 0.491622805595398f,
+ 0.591519951820374f, 0.491552740335464f, 0.591896951198578f, 0.491482406854630f,
+ 0.592273890972137f, 0.491411775350571f, 0.592650771141052f, 0.491340845823288f,
+ 0.593027591705322f, 0.491269648075104f, 0.593404352664948f, 0.491198152303696f,
+ 0.593781054019928f, 0.491126358509064f, 0.594157755374908f, 0.491054296493530f,
+ 0.594534337520599f, 0.490981936454773f, 0.594910860061646f, 0.490909278392792f,
+ 0.595287382602692f, 0.490836352109909f, 0.595663845539093f, 0.490763127803802f,
+ 0.596040189266205f, 0.490689605474472f, 0.596416532993317f, 0.490615785121918f,
+ 0.596792817115784f, 0.490541696548462f, 0.597168982028961f, 0.490467309951782f,
+ 0.597545146942139f, 0.490392625331879f, 0.597921252250671f, 0.490317672491074f,
+ 0.598297297954559f, 0.490242421627045f, 0.598673284053802f, 0.490166902542114f,
+ 0.599049210548401f, 0.490091055631638f, 0.599425077438354f, 0.490014940500259f,
+ 0.599800884723663f, 0.489938557147980f, 0.600176632404327f, 0.489861875772476f,
+ 0.600552320480347f, 0.489784896373749f, 0.600927948951721f, 0.489707618951797f,
+ 0.601303517818451f, 0.489630073308945f, 0.601679027080536f, 0.489552229642868f,
+ 0.602054476737976f, 0.489474087953568f, 0.602429866790771f, 0.489395678043365f,
+ 0.602805197238922f, 0.489316970109940f, 0.603180468082428f, 0.489237964153290f,
+ 0.603555679321289f, 0.489158689975739f, 0.603930830955505f, 0.489079117774963f,
+ 0.604305922985077f, 0.488999247550964f, 0.604680955410004f, 0.488919109106064f,
+ 0.605055928230286f, 0.488838672637939f, 0.605430841445923f, 0.488757967948914f,
+ 0.605805635452271f, 0.488676935434341f, 0.606180429458618f, 0.488595664501190f,
+ 0.606555163860321f, 0.488514065742493f, 0.606929838657379f, 0.488432198762894f,
+ 0.607304394245148f, 0.488350033760071f, 0.607678949832916f, 0.488267600536346f,
+ 0.608053386211395f, 0.488184869289398f, 0.608427822589874f, 0.488101840019226f,
+ 0.608802139759064f, 0.488018542528152f, 0.609176397323608f, 0.487934947013855f,
+ 0.609550595283508f, 0.487851053476334f, 0.609924793243408f, 0.487766891717911f,
+ 0.610298871994019f, 0.487682431936264f, 0.610672831535339f, 0.487597703933716f,
+ 0.611046791076660f, 0.487512677907944f, 0.611420691013336f, 0.487427353858948f,
+ 0.611794531345367f, 0.487341761589050f, 0.612168252468109f, 0.487255871295929f,
+ 0.612541973590851f, 0.487169682979584f, 0.612915575504303f, 0.487083226442337f,
+ 0.613289117813110f, 0.486996471881866f, 0.613662600517273f, 0.486909449100494f,
+ 0.614036023616791f, 0.486822128295898f, 0.614409387111664f, 0.486734509468079f,
+ 0.614782691001892f, 0.486646622419357f, 0.615155875682831f, 0.486558437347412f,
+ 0.615529060363770f, 0.486469984054565f, 0.615902125835419f, 0.486381232738495f,
+ 0.616275131702423f, 0.486292183399200f, 0.616648077964783f, 0.486202865839005f,
+ 0.617020964622498f, 0.486113250255585f, 0.617393791675568f, 0.486023366451263f,
+ 0.617766559123993f, 0.485933154821396f, 0.618139207363129f, 0.485842704772949f,
+ 0.618511795997620f, 0.485751956701279f, 0.618884325027466f, 0.485660910606384f,
+ 0.619256794452667f, 0.485569566488266f, 0.619629204273224f, 0.485477954149246f,
+ 0.620001494884491f, 0.485386073589325f, 0.620373785495758f, 0.485293895006180f,
+ 0.620745956897736f, 0.485201418399811f, 0.621118068695068f, 0.485108673572540f,
+ 0.621490061283112f, 0.485015630722046f, 0.621862053871155f, 0.484922289848328f,
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+ 0.590765833854675f, -0.491692543029785f, 0.590388655662537f, -0.491762012243271f,
+ 0.590011477470398f, -0.491831213235855f, 0.589634180068970f, -0.491900116205215f,
+ 0.589256882667542f, -0.491968721151352f, 0.588879525661469f, -0.492037028074265f,
+ 0.588502109050751f, -0.492105036973953f, 0.588124632835388f, -0.492172777652740f,
+ 0.587747097015381f, -0.492240220308304f, 0.587369561195374f, -0.492307394742966f,
+ 0.586991965770721f, -0.492374241352081f, 0.586614251136780f, -0.492440819740295f,
+ 0.586236536502838f, -0.492507129907608f, 0.585858762264252f, -0.492573112249374f,
+ 0.585480928421021f, -0.492638826370239f, 0.585103094577789f, -0.492704242467880f,
+ 0.584725141525269f, -0.492769360542297f, 0.584347188472748f, -0.492834210395813f,
+ 0.583969175815582f, -0.492898762226105f, 0.583591103553772f, -0.492963016033173f,
+ 0.583212971687317f, -0.493026971817017f, 0.582834780216217f, -0.493090659379959f,
+ 0.582456588745117f, -0.493154048919678f, 0.582078278064728f, -0.493217140436172f,
+ 0.581699967384338f, -0.493279963731766f, 0.581321597099304f, -0.493342459201813f,
+ 0.580943167209625f, -0.493404686450958f, 0.580564737319946f, -0.493466645479202f,
+ 0.580186247825623f, -0.493528276681900f, 0.579807698726654f, -0.493589639663696f,
+ 0.579429090023041f, -0.493650704622269f, 0.579050421714783f, -0.493711471557617f,
+ 0.578671753406525f, -0.493771970272064f, 0.578292965888977f, -0.493832170963287f,
+ 0.577914178371429f, -0.493892073631287f, 0.577535390853882f, -0.493951678276062f,
+ 0.577156484127045f, -0.494011014699936f, 0.576777577400208f, -0.494070053100586f,
+ 0.576398611068726f, -0.494128793478012f, 0.576019585132599f, -0.494187235832214f,
+ 0.575640499591827f, -0.494245409965515f, 0.575261414051056f, -0.494303256273270f,
+ 0.574882268905640f, -0.494360834360123f, 0.574503064155579f, -0.494418144226074f,
+ 0.574123859405518f, -0.494475126266479f, 0.573744535446167f, -0.494531840085983f,
+ 0.573365211486816f, -0.494588255882263f, 0.572985887527466f, -0.494644373655319f,
+ 0.572606444358826f, -0.494700223207474f, 0.572227001190186f, -0.494755744934082f,
+ 0.571847498416901f, -0.494810998439789f, 0.571467995643616f, -0.494865983724594f,
+ 0.571088373661041f, -0.494920641183853f, 0.570708811283112f, -0.494975030422211f,
+ 0.570329129695892f, -0.495029091835022f, 0.569949388504028f, -0.495082914829254f,
+ 0.569569647312164f, -0.495136409997940f, 0.569189906120300f, -0.495189607143402f,
+ 0.568810045719147f, -0.495242536067963f, 0.568430185317993f, -0.495295166969299f,
+ 0.568050265312195f, -0.495347499847412f, 0.567670345306396f, -0.495399564504623f,
+ 0.567290365695953f, -0.495451331138611f, 0.566910326480865f, -0.495502769947052f,
+ 0.566530287265778f, -0.495553970336914f, 0.566150128841400f, -0.495604842901230f,
+ 0.565770030021667f, -0.495655417442322f, 0.565389811992645f, -0.495705723762512f,
+ 0.565009593963623f, -0.495755732059479f, 0.564629375934601f, -0.495805442333221f,
+ 0.564249038696289f, -0.495854884386063f, 0.563868701457977f, -0.495903998613358f,
+ 0.563488364219666f, -0.495952844619751f, 0.563107967376709f, -0.496001392602921f,
+ 0.562727510929108f, -0.496049642562866f, 0.562346994876862f, -0.496097624301910f,
+ 0.561966478824615f, -0.496145308017731f, 0.561585903167725f, -0.496192663908005f,
+ 0.561205327510834f, -0.496239781379700f, 0.560824692249298f, -0.496286571025848f,
+ 0.560444056987762f, -0.496333062648773f, 0.560063362121582f, -0.496379286050797f,
+ 0.559682607650757f, -0.496425211429596f, 0.559301853179932f, -0.496470838785172f,
+ 0.558921039104462f, -0.496516168117523f, 0.558540165424347f, -0.496561229228973f,
+ 0.558159291744232f, -0.496605962514877f, 0.557778418064117f, -0.496650427579880f,
+ 0.557397484779358f, -0.496694594621658f, 0.557016491889954f, -0.496738493442535f,
+ 0.556635499000549f, -0.496782064437866f, 0.556254446506500f, -0.496825367212296f,
+ 0.555873334407806f, -0.496868371963501f, 0.555492222309113f, -0.496911078691483f,
+ 0.555111110210419f, -0.496953487396240f, 0.554729938507080f, -0.496995598077774f,
+ 0.554348707199097f, -0.497037440538406f, 0.553967475891113f, -0.497078984975815f,
+ 0.553586184978485f, -0.497120231389999f, 0.553204894065857f, -0.497161179780960f,
+ 0.552823603153229f, -0.497201830148697f, 0.552442193031311f, -0.497242212295532f,
+ 0.552060842514038f, -0.497282296419144f, 0.551679372787476f, -0.497322082519531f,
+ 0.551297962665558f, -0.497361570596695f, 0.550916433334351f, -0.497400760650635f,
+ 0.550534904003143f, -0.497439652681351f, 0.550153374671936f, -0.497478276491165f,
+ 0.549771785736084f, -0.497516602277756f, 0.549390196800232f, -0.497554630041122f,
+ 0.549008548259735f, -0.497592359781265f, 0.548626899719238f, -0.497629791498184f,
+ 0.548245191574097f, -0.497666954994202f, 0.547863483428955f, -0.497703820466995f,
+ 0.547481775283813f, -0.497740387916565f, 0.547099947929382f, -0.497776657342911f,
+ 0.546718180179596f, -0.497812628746033f, 0.546336352825165f, -0.497848302125931f,
+ 0.545954465866089f, -0.497883707284927f, 0.545572578907013f, -0.497918814420700f,
+ 0.545190691947937f, -0.497953623533249f, 0.544808745384216f, -0.497988134622574f,
+ 0.544426798820496f, -0.498022347688675f, 0.544044792652130f, -0.498056292533875f,
+ 0.543662786483765f, -0.498089909553528f, 0.543280720710754f, -0.498123258352280f,
+ 0.542898654937744f, -0.498156309127808f, 0.542516589164734f, -0.498189061880112f,
+ 0.542134463787079f, -0.498221516609192f, 0.541752278804779f, -0.498253703117371f,
+ 0.541370153427124f, -0.498285561800003f, 0.540987968444824f, -0.498317152261734f,
+ 0.540605723857880f, -0.498348444700241f, 0.540223479270935f, -0.498379439115524f,
+ 0.539841234683990f, -0.498410135507584f, 0.539458930492401f, -0.498440563678741f,
+ 0.539076626300812f, -0.498470664024353f, 0.538694262504578f, -0.498500496149063f,
+ 0.538311958312988f, -0.498530030250549f, 0.537929534912109f, -0.498559266328812f,
+ 0.537547171115875f, -0.498588204383850f, 0.537164747714996f, -0.498616874217987f,
+ 0.536782264709473f, -0.498645216226578f, 0.536399841308594f, -0.498673290014267f,
+ 0.536017298698425f, -0.498701065778732f, 0.535634815692902f, -0.498728543519974f,
+ 0.535252273082733f, -0.498755723237991f, 0.534869730472565f, -0.498782604932785f,
+ 0.534487187862396f, -0.498809218406677f, 0.534104585647583f, -0.498835533857346f,
+ 0.533721983432770f, -0.498861521482468f, 0.533339321613312f, -0.498887240886688f,
+ 0.532956659793854f, -0.498912662267685f, 0.532573997974396f, -0.498937815427780f,
+ 0.532191336154938f, -0.498962640762329f, 0.531808614730835f, -0.498987197875977f,
+ 0.531425893306732f, -0.499011427164078f, 0.531043112277985f, -0.499035388231277f,
+ 0.530660390853882f, -0.499059051275253f, 0.530277609825134f, -0.499082416296005f,
+ 0.529894769191742f, -0.499105513095856f, 0.529511988162994f, -0.499128282070160f,
+ 0.529129147529602f, -0.499150782823563f, 0.528746306896210f, -0.499172955751419f,
+ 0.528363406658173f, -0.499194860458374f, 0.527980506420136f, -0.499216467142105f,
+ 0.527597606182098f, -0.499237775802612f, 0.527214705944061f, -0.499258816242218f,
+ 0.526831746101379f, -0.499279528856277f, 0.526448845863342f, -0.499299973249435f,
+ 0.526065826416016f, -0.499320119619370f, 0.525682866573334f, -0.499339967966080f,
+ 0.525299847126007f, -0.499359518289566f, 0.524916887283325f, -0.499378770589828f,
+ 0.524533808231354f, -0.499397724866867f, 0.524150788784027f, -0.499416410923004f,
+ 0.523767769336700f, -0.499434769153595f, 0.523384690284729f, -0.499452859163284f,
+ 0.523001611232758f, -0.499470651149750f, 0.522618472576141f, -0.499488145112991f,
+ 0.522235393524170f, -0.499505341053009f, 0.521852254867554f, -0.499522238969803f,
+ 0.521469116210938f, -0.499538868665695f, 0.521085977554321f, -0.499555170536041f,
+ 0.520702838897705f, -0.499571204185486f, 0.520319640636444f, -0.499586939811707f,
+ 0.519936442375183f, -0.499602377414703f, 0.519553244113922f, -0.499617516994476f,
+ 0.519170045852661f, -0.499632388353348f, 0.518786847591400f, -0.499646931886673f,
+ 0.518403589725494f, -0.499661177396774f, 0.518020391464233f, -0.499675154685974f,
+ 0.517637133598328f, -0.499688833951950f, 0.517253875732422f, -0.499702215194702f,
+ 0.516870558261871f, -0.499715298414230f, 0.516487300395966f, -0.499728083610535f,
+ 0.516103982925415f, -0.499740600585938f, 0.515720725059509f, -0.499752789735794f,
+ 0.515337407588959f, -0.499764710664749f, 0.514954090118408f, -0.499776333570480f,
+ 0.514570772647858f, -0.499787658452988f, 0.514187395572662f, -0.499798685312271f,
+ 0.513804078102112f, -0.499809414148331f, 0.513420701026917f, -0.499819844961166f,
+ 0.513037383556366f, -0.499830007553101f, 0.512654006481171f, -0.499839842319489f,
+ 0.512270629405975f, -0.499849408864975f, 0.511887252330780f, -0.499858677387238f,
+ 0.511503815650940f, -0.499867647886276f, 0.511120438575745f, -0.499876320362091f,
+ 0.510737061500549f, -0.499884694814682f, 0.510353624820709f, -0.499892801046371f,
+ 0.509970188140869f, -0.499900579452515f, 0.509586811065674f, -0.499908089637756f,
+ 0.509203374385834f, -0.499915301799774f, 0.508819937705994f, -0.499922215938568f,
+ 0.508436501026154f, -0.499928832054138f, 0.508053064346313f, -0.499935150146484f,
+ 0.507669627666473f, -0.499941170215607f, 0.507286131381989f, -0.499946922063828f,
+ 0.506902694702148f, -0.499952346086502f, 0.506519258022308f, -0.499957501888275f,
+ 0.506135761737823f, -0.499962359666824f, 0.505752325057983f, -0.499966919422150f,
+ 0.505368828773499f, -0.499971181154251f, 0.504985332489014f, -0.499975144863129f,
+ 0.504601895809174f, -0.499978810548782f, 0.504218399524689f, -0.499982208013535f,
+ 0.503834903240204f, -0.499985307455063f, 0.503451406955719f, -0.499988079071045f,
+ 0.503067970275879f, -0.499990582466125f, 0.502684473991394f, -0.499992787837982f,
+ 0.502300977706909f, -0.499994695186615f, 0.501917481422424f, -0.499996334314346f,
+ 0.501533985137939f, -0.499997645616531f, 0.501150488853455f, -0.499998688697815f,
+ 0.500766992568970f, -0.499999403953552f, 0.500383496284485f, -0.499999850988388f,
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31)
+/**
+ @par
+ Generation fixed-point realCoefAQ31 array in Q31 format:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+ pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q31 format
+ round(pATable[i] * pow(2, 31))
+*/
+const q31_t realCoefAQ31[8192] = {
+ (q31_t)0x40000000, (q31_t)0xc0000000, (q31_t)0x3ff36f02, (q31_t)0xc000013c,
+ (q31_t)0x3fe6de05, (q31_t)0xc00004ef, (q31_t)0x3fda4d09, (q31_t)0xc0000b1a,
+ (q31_t)0x3fcdbc0f, (q31_t)0xc00013bd, (q31_t)0x3fc12b16, (q31_t)0xc0001ed8,
+ (q31_t)0x3fb49a1f, (q31_t)0xc0002c6a, (q31_t)0x3fa8092c, (q31_t)0xc0003c74,
+ (q31_t)0x3f9b783c, (q31_t)0xc0004ef5, (q31_t)0x3f8ee750, (q31_t)0xc00063ee,
+ (q31_t)0x3f825668, (q31_t)0xc0007b5f, (q31_t)0x3f75c585, (q31_t)0xc0009547,
+ (q31_t)0x3f6934a8, (q31_t)0xc000b1a7, (q31_t)0x3f5ca3d0, (q31_t)0xc000d07e,
+ (q31_t)0x3f5012fe, (q31_t)0xc000f1ce, (q31_t)0x3f438234, (q31_t)0xc0011594,
+ (q31_t)0x3f36f170, (q31_t)0xc0013bd3, (q31_t)0x3f2a60b4, (q31_t)0xc0016489,
+ (q31_t)0x3f1dd001, (q31_t)0xc0018fb6, (q31_t)0x3f113f56, (q31_t)0xc001bd5c,
+ (q31_t)0x3f04aeb5, (q31_t)0xc001ed78, (q31_t)0x3ef81e1d, (q31_t)0xc002200d,
+ (q31_t)0x3eeb8d8f, (q31_t)0xc0025519, (q31_t)0x3edefd0c, (q31_t)0xc0028c9c,
+ (q31_t)0x3ed26c94, (q31_t)0xc002c697, (q31_t)0x3ec5dc28, (q31_t)0xc003030a,
+ (q31_t)0x3eb94bc8, (q31_t)0xc00341f4, (q31_t)0x3eacbb74, (q31_t)0xc0038356,
+ (q31_t)0x3ea02b2e, (q31_t)0xc003c72f, (q31_t)0x3e939af5, (q31_t)0xc0040d80,
+ (q31_t)0x3e870aca, (q31_t)0xc0045648, (q31_t)0x3e7a7aae, (q31_t)0xc004a188,
+ (q31_t)0x3e6deaa1, (q31_t)0xc004ef3f, (q31_t)0x3e615aa3, (q31_t)0xc0053f6e,
+ (q31_t)0x3e54cab5, (q31_t)0xc0059214, (q31_t)0x3e483ad8, (q31_t)0xc005e731,
+ (q31_t)0x3e3bab0b, (q31_t)0xc0063ec6, (q31_t)0x3e2f1b50, (q31_t)0xc00698d3,
+ (q31_t)0x3e228ba7, (q31_t)0xc006f556, (q31_t)0x3e15fc11, (q31_t)0xc0075452,
+ (q31_t)0x3e096c8d, (q31_t)0xc007b5c4, (q31_t)0x3dfcdd1d, (q31_t)0xc00819ae,
+ (q31_t)0x3df04dc0, (q31_t)0xc008800f, (q31_t)0x3de3be78, (q31_t)0xc008e8e8,
+ (q31_t)0x3dd72f45, (q31_t)0xc0095438, (q31_t)0x3dcaa027, (q31_t)0xc009c1ff,
+ (q31_t)0x3dbe111e, (q31_t)0xc00a323d, (q31_t)0x3db1822c, (q31_t)0xc00aa4f3,
+ (q31_t)0x3da4f351, (q31_t)0xc00b1a20, (q31_t)0x3d98648d, (q31_t)0xc00b91c4,
+ (q31_t)0x3d8bd5e1, (q31_t)0xc00c0be0, (q31_t)0x3d7f474d, (q31_t)0xc00c8872,
+ (q31_t)0x3d72b8d2, (q31_t)0xc00d077c, (q31_t)0x3d662a70, (q31_t)0xc00d88fd,
+ (q31_t)0x3d599c28, (q31_t)0xc00e0cf5, (q31_t)0x3d4d0df9, (q31_t)0xc00e9364,
+ (q31_t)0x3d407fe6, (q31_t)0xc00f1c4a, (q31_t)0x3d33f1ed, (q31_t)0xc00fa7a8,
+ (q31_t)0x3d276410, (q31_t)0xc010357c, (q31_t)0x3d1ad650, (q31_t)0xc010c5c7,
+ (q31_t)0x3d0e48ab, (q31_t)0xc011588a, (q31_t)0x3d01bb24, (q31_t)0xc011edc3,
+ (q31_t)0x3cf52dbb, (q31_t)0xc0128574, (q31_t)0x3ce8a06f, (q31_t)0xc0131f9b,
+ (q31_t)0x3cdc1342, (q31_t)0xc013bc39, (q31_t)0x3ccf8634, (q31_t)0xc0145b4e,
+ (q31_t)0x3cc2f945, (q31_t)0xc014fcda, (q31_t)0x3cb66c77, (q31_t)0xc015a0dd,
+ (q31_t)0x3ca9dfc8, (q31_t)0xc0164757, (q31_t)0x3c9d533b, (q31_t)0xc016f047,
+ (q31_t)0x3c90c6cf, (q31_t)0xc0179bae, (q31_t)0x3c843a85, (q31_t)0xc018498c,
+ (q31_t)0x3c77ae5e, (q31_t)0xc018f9e1, (q31_t)0x3c6b2259, (q31_t)0xc019acac,
+ (q31_t)0x3c5e9678, (q31_t)0xc01a61ee, (q31_t)0x3c520aba, (q31_t)0xc01b19a7,
+ (q31_t)0x3c457f21, (q31_t)0xc01bd3d6, (q31_t)0x3c38f3ac, (q31_t)0xc01c907c,
+ (q31_t)0x3c2c685d, (q31_t)0xc01d4f99, (q31_t)0x3c1fdd34, (q31_t)0xc01e112b,
+ (q31_t)0x3c135231, (q31_t)0xc01ed535, (q31_t)0x3c06c754, (q31_t)0xc01f9bb5,
+ (q31_t)0x3bfa3c9f, (q31_t)0xc02064ab, (q31_t)0x3bedb212, (q31_t)0xc0213018,
+ (q31_t)0x3be127ac, (q31_t)0xc021fdfb, (q31_t)0x3bd49d70, (q31_t)0xc022ce54,
+ (q31_t)0x3bc8135c, (q31_t)0xc023a124, (q31_t)0x3bbb8973, (q31_t)0xc024766a,
+ (q31_t)0x3baeffb3, (q31_t)0xc0254e27, (q31_t)0x3ba2761e, (q31_t)0xc0262859,
+ (q31_t)0x3b95ecb4, (q31_t)0xc0270502, (q31_t)0x3b896375, (q31_t)0xc027e421,
+ (q31_t)0x3b7cda63, (q31_t)0xc028c5b6, (q31_t)0x3b70517d, (q31_t)0xc029a9c1,
+ (q31_t)0x3b63c8c4, (q31_t)0xc02a9042, (q31_t)0x3b574039, (q31_t)0xc02b7939,
+ (q31_t)0x3b4ab7db, (q31_t)0xc02c64a6, (q31_t)0x3b3e2fac, (q31_t)0xc02d5289,
+ (q31_t)0x3b31a7ac, (q31_t)0xc02e42e2, (q31_t)0x3b251fdc, (q31_t)0xc02f35b1,
+ (q31_t)0x3b18983b, (q31_t)0xc0302af5, (q31_t)0x3b0c10cb, (q31_t)0xc03122b0,
+ (q31_t)0x3aff898c, (q31_t)0xc0321ce0, (q31_t)0x3af3027e, (q31_t)0xc0331986,
+ (q31_t)0x3ae67ba2, (q31_t)0xc03418a2, (q31_t)0x3ad9f4f8, (q31_t)0xc0351a33,
+ (q31_t)0x3acd6e81, (q31_t)0xc0361e3a, (q31_t)0x3ac0e83d, (q31_t)0xc03724b6,
+ (q31_t)0x3ab4622d, (q31_t)0xc0382da8, (q31_t)0x3aa7dc52, (q31_t)0xc0393910,
+ (q31_t)0x3a9b56ab, (q31_t)0xc03a46ed, (q31_t)0x3a8ed139, (q31_t)0xc03b573f,
+ (q31_t)0x3a824bfd, (q31_t)0xc03c6a07, (q31_t)0x3a75c6f8, (q31_t)0xc03d7f44,
+ (q31_t)0x3a694229, (q31_t)0xc03e96f6, (q31_t)0x3a5cbd91, (q31_t)0xc03fb11d,
+ (q31_t)0x3a503930, (q31_t)0xc040cdba, (q31_t)0x3a43b508, (q31_t)0xc041eccc,
+ (q31_t)0x3a373119, (q31_t)0xc0430e53, (q31_t)0x3a2aad62, (q31_t)0xc044324f,
+ (q31_t)0x3a1e29e5, (q31_t)0xc04558c0, (q31_t)0x3a11a6a3, (q31_t)0xc04681a6,
+ (q31_t)0x3a05239a, (q31_t)0xc047ad01, (q31_t)0x39f8a0cd, (q31_t)0xc048dad1,
+ (q31_t)0x39ec1e3b, (q31_t)0xc04a0b16, (q31_t)0x39df9be6, (q31_t)0xc04b3dcf,
+ (q31_t)0x39d319cc, (q31_t)0xc04c72fe, (q31_t)0x39c697f0, (q31_t)0xc04daaa1,
+ (q31_t)0x39ba1651, (q31_t)0xc04ee4b8, (q31_t)0x39ad94f0, (q31_t)0xc0502145,
+ (q31_t)0x39a113cd, (q31_t)0xc0516045, (q31_t)0x399492ea, (q31_t)0xc052a1bb,
+ (q31_t)0x39881245, (q31_t)0xc053e5a5, (q31_t)0x397b91e1, (q31_t)0xc0552c03,
+ (q31_t)0x396f11bc, (q31_t)0xc05674d6, (q31_t)0x396291d9, (q31_t)0xc057c01d,
+ (q31_t)0x39561237, (q31_t)0xc0590dd8, (q31_t)0x394992d7, (q31_t)0xc05a5e07,
+ (q31_t)0x393d13b8, (q31_t)0xc05bb0ab, (q31_t)0x393094dd, (q31_t)0xc05d05c3,
+ (q31_t)0x39241645, (q31_t)0xc05e5d4e, (q31_t)0x391797f0, (q31_t)0xc05fb74e,
+ (q31_t)0x390b19e0, (q31_t)0xc06113c2, (q31_t)0x38fe9c15, (q31_t)0xc06272aa,
+ (q31_t)0x38f21e8e, (q31_t)0xc063d405, (q31_t)0x38e5a14d, (q31_t)0xc06537d4,
+ (q31_t)0x38d92452, (q31_t)0xc0669e18, (q31_t)0x38cca79e, (q31_t)0xc06806ce,
+ (q31_t)0x38c02b31, (q31_t)0xc06971f9, (q31_t)0x38b3af0c, (q31_t)0xc06adf97,
+ (q31_t)0x38a7332e, (q31_t)0xc06c4fa8, (q31_t)0x389ab799, (q31_t)0xc06dc22e,
+ (q31_t)0x388e3c4d, (q31_t)0xc06f3726, (q31_t)0x3881c14b, (q31_t)0xc070ae92,
+ (q31_t)0x38754692, (q31_t)0xc0722871, (q31_t)0x3868cc24, (q31_t)0xc073a4c3,
+ (q31_t)0x385c5201, (q31_t)0xc0752389, (q31_t)0x384fd829, (q31_t)0xc076a4c2,
+ (q31_t)0x38435e9d, (q31_t)0xc078286e, (q31_t)0x3836e55d, (q31_t)0xc079ae8c,
+ (q31_t)0x382a6c6a, (q31_t)0xc07b371e, (q31_t)0x381df3c5, (q31_t)0xc07cc223,
+ (q31_t)0x38117b6d, (q31_t)0xc07e4f9b, (q31_t)0x38050364, (q31_t)0xc07fdf85,
+ (q31_t)0x37f88ba9, (q31_t)0xc08171e2, (q31_t)0x37ec143e, (q31_t)0xc08306b2,
+ (q31_t)0x37df9d22, (q31_t)0xc0849df4, (q31_t)0x37d32657, (q31_t)0xc08637a9,
+ (q31_t)0x37c6afdc, (q31_t)0xc087d3d0, (q31_t)0x37ba39b3, (q31_t)0xc089726a,
+ (q31_t)0x37adc3db, (q31_t)0xc08b1376, (q31_t)0x37a14e55, (q31_t)0xc08cb6f5,
+ (q31_t)0x3794d922, (q31_t)0xc08e5ce5, (q31_t)0x37886442, (q31_t)0xc0900548,
+ (q31_t)0x377befb5, (q31_t)0xc091b01d, (q31_t)0x376f7b7d, (q31_t)0xc0935d64,
+ (q31_t)0x37630799, (q31_t)0xc0950d1d, (q31_t)0x3756940a, (q31_t)0xc096bf48,
+ (q31_t)0x374a20d0, (q31_t)0xc09873e4, (q31_t)0x373daded, (q31_t)0xc09a2af3,
+ (q31_t)0x37313b60, (q31_t)0xc09be473, (q31_t)0x3724c92a, (q31_t)0xc09da065,
+ (q31_t)0x3718574b, (q31_t)0xc09f5ec8, (q31_t)0x370be5c4, (q31_t)0xc0a11f9d,
+ (q31_t)0x36ff7496, (q31_t)0xc0a2e2e3, (q31_t)0x36f303c0, (q31_t)0xc0a4a89b,
+ (q31_t)0x36e69344, (q31_t)0xc0a670c4, (q31_t)0x36da2321, (q31_t)0xc0a83b5e,
+ (q31_t)0x36cdb359, (q31_t)0xc0aa086a, (q31_t)0x36c143ec, (q31_t)0xc0abd7e6,
+ (q31_t)0x36b4d4d9, (q31_t)0xc0ada9d4, (q31_t)0x36a86623, (q31_t)0xc0af7e33,
+ (q31_t)0x369bf7c9, (q31_t)0xc0b15502, (q31_t)0x368f89cb, (q31_t)0xc0b32e42,
+ (q31_t)0x36831c2b, (q31_t)0xc0b509f3, (q31_t)0x3676aee8, (q31_t)0xc0b6e815,
+ (q31_t)0x366a4203, (q31_t)0xc0b8c8a7, (q31_t)0x365dd57d, (q31_t)0xc0baabaa,
+ (q31_t)0x36516956, (q31_t)0xc0bc911d, (q31_t)0x3644fd8f, (q31_t)0xc0be7901,
+ (q31_t)0x36389228, (q31_t)0xc0c06355, (q31_t)0x362c2721, (q31_t)0xc0c25019,
+ (q31_t)0x361fbc7b, (q31_t)0xc0c43f4d, (q31_t)0x36135237, (q31_t)0xc0c630f2,
+ (q31_t)0x3606e854, (q31_t)0xc0c82506, (q31_t)0x35fa7ed4, (q31_t)0xc0ca1b8a,
+ (q31_t)0x35ee15b7, (q31_t)0xc0cc147f, (q31_t)0x35e1acfd, (q31_t)0xc0ce0fe3,
+ (q31_t)0x35d544a7, (q31_t)0xc0d00db6, (q31_t)0x35c8dcb6, (q31_t)0xc0d20dfa,
+ (q31_t)0x35bc7529, (q31_t)0xc0d410ad, (q31_t)0x35b00e02, (q31_t)0xc0d615cf,
+ (q31_t)0x35a3a740, (q31_t)0xc0d81d61, (q31_t)0x359740e5, (q31_t)0xc0da2762,
+ (q31_t)0x358adaf0, (q31_t)0xc0dc33d2, (q31_t)0x357e7563, (q31_t)0xc0de42b2,
+ (q31_t)0x3572103d, (q31_t)0xc0e05401, (q31_t)0x3565ab80, (q31_t)0xc0e267be,
+ (q31_t)0x3559472b, (q31_t)0xc0e47deb, (q31_t)0x354ce33f, (q31_t)0xc0e69686,
+ (q31_t)0x35407fbd, (q31_t)0xc0e8b190, (q31_t)0x35341ca5, (q31_t)0xc0eacf09,
+ (q31_t)0x3527b9f7, (q31_t)0xc0eceef1, (q31_t)0x351b57b5, (q31_t)0xc0ef1147,
+ (q31_t)0x350ef5de, (q31_t)0xc0f1360b, (q31_t)0x35029473, (q31_t)0xc0f35d3e,
+ (q31_t)0x34f63374, (q31_t)0xc0f586df, (q31_t)0x34e9d2e3, (q31_t)0xc0f7b2ee,
+ (q31_t)0x34dd72be, (q31_t)0xc0f9e16b, (q31_t)0x34d11308, (q31_t)0xc0fc1257,
+ (q31_t)0x34c4b3c0, (q31_t)0xc0fe45b0, (q31_t)0x34b854e7, (q31_t)0xc1007b77,
+ (q31_t)0x34abf67e, (q31_t)0xc102b3ac, (q31_t)0x349f9884, (q31_t)0xc104ee4f,
+ (q31_t)0x34933afa, (q31_t)0xc1072b5f, (q31_t)0x3486dde1, (q31_t)0xc1096add,
+ (q31_t)0x347a8139, (q31_t)0xc10bacc8, (q31_t)0x346e2504, (q31_t)0xc10df120,
+ (q31_t)0x3461c940, (q31_t)0xc11037e6, (q31_t)0x34556def, (q31_t)0xc1128119,
+ (q31_t)0x34491311, (q31_t)0xc114ccb9, (q31_t)0x343cb8a7, (q31_t)0xc1171ac6,
+ (q31_t)0x34305eb0, (q31_t)0xc1196b3f, (q31_t)0x3424052f, (q31_t)0xc11bbe26,
+ (q31_t)0x3417ac22, (q31_t)0xc11e1379, (q31_t)0x340b538b, (q31_t)0xc1206b39,
+ (q31_t)0x33fefb6a, (q31_t)0xc122c566, (q31_t)0x33f2a3bf, (q31_t)0xc12521ff,
+ (q31_t)0x33e64c8c, (q31_t)0xc1278104, (q31_t)0x33d9f5cf, (q31_t)0xc129e276,
+ (q31_t)0x33cd9f8b, (q31_t)0xc12c4653, (q31_t)0x33c149bf, (q31_t)0xc12eac9d,
+ (q31_t)0x33b4f46c, (q31_t)0xc1311553, (q31_t)0x33a89f92, (q31_t)0xc1338075,
+ (q31_t)0x339c4b32, (q31_t)0xc135ee02, (q31_t)0x338ff74d, (q31_t)0xc1385dfb,
+ (q31_t)0x3383a3e2, (q31_t)0xc13ad060, (q31_t)0x337750f2, (q31_t)0xc13d4530,
+ (q31_t)0x336afe7e, (q31_t)0xc13fbc6c, (q31_t)0x335eac86, (q31_t)0xc1423613,
+ (q31_t)0x33525b0b, (q31_t)0xc144b225, (q31_t)0x33460a0d, (q31_t)0xc14730a3,
+ (q31_t)0x3339b98d, (q31_t)0xc149b18b, (q31_t)0x332d698a, (q31_t)0xc14c34df,
+ (q31_t)0x33211a07, (q31_t)0xc14eba9d, (q31_t)0x3314cb02, (q31_t)0xc15142c6,
+ (q31_t)0x33087c7d, (q31_t)0xc153cd5a, (q31_t)0x32fc2e77, (q31_t)0xc1565a58,
+ (q31_t)0x32efe0f2, (q31_t)0xc158e9c1, (q31_t)0x32e393ef, (q31_t)0xc15b7b94,
+ (q31_t)0x32d7476c, (q31_t)0xc15e0fd1, (q31_t)0x32cafb6b, (q31_t)0xc160a678,
+ (q31_t)0x32beafed, (q31_t)0xc1633f8a, (q31_t)0x32b264f2, (q31_t)0xc165db05,
+ (q31_t)0x32a61a7a, (q31_t)0xc16878eb, (q31_t)0x3299d085, (q31_t)0xc16b193a,
+ (q31_t)0x328d8715, (q31_t)0xc16dbbf3, (q31_t)0x32813e2a, (q31_t)0xc1706115,
+ (q31_t)0x3274f5c3, (q31_t)0xc17308a1, (q31_t)0x3268ade3, (q31_t)0xc175b296,
+ (q31_t)0x325c6688, (q31_t)0xc1785ef4, (q31_t)0x32501fb5, (q31_t)0xc17b0dbb,
+ (q31_t)0x3243d968, (q31_t)0xc17dbeec, (q31_t)0x323793a3, (q31_t)0xc1807285,
+ (q31_t)0x322b4e66, (q31_t)0xc1832888, (q31_t)0x321f09b1, (q31_t)0xc185e0f3,
+ (q31_t)0x3212c585, (q31_t)0xc1889bc6, (q31_t)0x320681e3, (q31_t)0xc18b5903,
+ (q31_t)0x31fa3ecb, (q31_t)0xc18e18a7, (q31_t)0x31edfc3d, (q31_t)0xc190dab4,
+ (q31_t)0x31e1ba3a, (q31_t)0xc1939f29, (q31_t)0x31d578c2, (q31_t)0xc1966606,
+ (q31_t)0x31c937d6, (q31_t)0xc1992f4c, (q31_t)0x31bcf777, (q31_t)0xc19bfaf9,
+ (q31_t)0x31b0b7a4, (q31_t)0xc19ec90d, (q31_t)0x31a4785e, (q31_t)0xc1a1998a,
+ (q31_t)0x319839a6, (q31_t)0xc1a46c6e, (q31_t)0x318bfb7d, (q31_t)0xc1a741b9,
+ (q31_t)0x317fbde2, (q31_t)0xc1aa196c, (q31_t)0x317380d6, (q31_t)0xc1acf386,
+ (q31_t)0x31674459, (q31_t)0xc1afd007, (q31_t)0x315b086d, (q31_t)0xc1b2aef0,
+ (q31_t)0x314ecd11, (q31_t)0xc1b5903f, (q31_t)0x31429247, (q31_t)0xc1b873f5,
+ (q31_t)0x3136580d, (q31_t)0xc1bb5a11, (q31_t)0x312a1e66, (q31_t)0xc1be4294,
+ (q31_t)0x311de551, (q31_t)0xc1c12d7e, (q31_t)0x3111accf, (q31_t)0xc1c41ace,
+ (q31_t)0x310574e0, (q31_t)0xc1c70a84, (q31_t)0x30f93d86, (q31_t)0xc1c9fca0,
+ (q31_t)0x30ed06bf, (q31_t)0xc1ccf122, (q31_t)0x30e0d08d, (q31_t)0xc1cfe80a,
+ (q31_t)0x30d49af1, (q31_t)0xc1d2e158, (q31_t)0x30c865ea, (q31_t)0xc1d5dd0c,
+ (q31_t)0x30bc317a, (q31_t)0xc1d8db25, (q31_t)0x30affda0, (q31_t)0xc1dbdba3,
+ (q31_t)0x30a3ca5d, (q31_t)0xc1dede87, (q31_t)0x309797b2, (q31_t)0xc1e1e3d0,
+ (q31_t)0x308b659f, (q31_t)0xc1e4eb7e, (q31_t)0x307f3424, (q31_t)0xc1e7f591,
+ (q31_t)0x30730342, (q31_t)0xc1eb0209, (q31_t)0x3066d2fa, (q31_t)0xc1ee10e5,
+ (q31_t)0x305aa34c, (q31_t)0xc1f12227, (q31_t)0x304e7438, (q31_t)0xc1f435cc,
+ (q31_t)0x304245c0, (q31_t)0xc1f74bd6, (q31_t)0x303617e2, (q31_t)0xc1fa6445,
+ (q31_t)0x3029eaa1, (q31_t)0xc1fd7f17, (q31_t)0x301dbdfb, (q31_t)0xc2009c4e,
+ (q31_t)0x301191f3, (q31_t)0xc203bbe8, (q31_t)0x30056687, (q31_t)0xc206dde6,
+ (q31_t)0x2ff93bba, (q31_t)0xc20a0248, (q31_t)0x2fed118a, (q31_t)0xc20d290d,
+ (q31_t)0x2fe0e7f9, (q31_t)0xc2105236, (q31_t)0x2fd4bf08, (q31_t)0xc2137dc2,
+ (q31_t)0x2fc896b5, (q31_t)0xc216abb1, (q31_t)0x2fbc6f03, (q31_t)0xc219dc03,
+ (q31_t)0x2fb047f2, (q31_t)0xc21d0eb8, (q31_t)0x2fa42181, (q31_t)0xc22043d0,
+ (q31_t)0x2f97fbb2, (q31_t)0xc2237b4b, (q31_t)0x2f8bd685, (q31_t)0xc226b528,
+ (q31_t)0x2f7fb1fa, (q31_t)0xc229f167, (q31_t)0x2f738e12, (q31_t)0xc22d3009,
+ (q31_t)0x2f676ace, (q31_t)0xc230710d, (q31_t)0x2f5b482d, (q31_t)0xc233b473,
+ (q31_t)0x2f4f2630, (q31_t)0xc236fa3b, (q31_t)0x2f4304d8, (q31_t)0xc23a4265,
+ (q31_t)0x2f36e426, (q31_t)0xc23d8cf1, (q31_t)0x2f2ac419, (q31_t)0xc240d9de,
+ (q31_t)0x2f1ea4b2, (q31_t)0xc244292c, (q31_t)0x2f1285f2, (q31_t)0xc2477adc,
+ (q31_t)0x2f0667d9, (q31_t)0xc24aceed, (q31_t)0x2efa4a67, (q31_t)0xc24e255e,
+ (q31_t)0x2eee2d9d, (q31_t)0xc2517e31, (q31_t)0x2ee2117c, (q31_t)0xc254d965,
+ (q31_t)0x2ed5f604, (q31_t)0xc25836f9, (q31_t)0x2ec9db35, (q31_t)0xc25b96ee,
+ (q31_t)0x2ebdc110, (q31_t)0xc25ef943, (q31_t)0x2eb1a796, (q31_t)0xc2625df8,
+ (q31_t)0x2ea58ec6, (q31_t)0xc265c50e, (q31_t)0x2e9976a1, (q31_t)0xc2692e83,
+ (q31_t)0x2e8d5f29, (q31_t)0xc26c9a58, (q31_t)0x2e81485c, (q31_t)0xc270088e,
+ (q31_t)0x2e75323c, (q31_t)0xc2737922, (q31_t)0x2e691cc9, (q31_t)0xc276ec16,
+ (q31_t)0x2e5d0804, (q31_t)0xc27a616a, (q31_t)0x2e50f3ed, (q31_t)0xc27dd91c,
+ (q31_t)0x2e44e084, (q31_t)0xc281532e, (q31_t)0x2e38cdcb, (q31_t)0xc284cf9f,
+ (q31_t)0x2e2cbbc1, (q31_t)0xc2884e6e, (q31_t)0x2e20aa67, (q31_t)0xc28bcf9c,
+ (q31_t)0x2e1499bd, (q31_t)0xc28f5329, (q31_t)0x2e0889c4, (q31_t)0xc292d914,
+ (q31_t)0x2dfc7a7c, (q31_t)0xc296615d, (q31_t)0x2df06be6, (q31_t)0xc299ec05,
+ (q31_t)0x2de45e03, (q31_t)0xc29d790a, (q31_t)0x2dd850d2, (q31_t)0xc2a1086d,
+ (q31_t)0x2dcc4454, (q31_t)0xc2a49a2e, (q31_t)0x2dc0388a, (q31_t)0xc2a82e4d,
+ (q31_t)0x2db42d74, (q31_t)0xc2abc4c9, (q31_t)0x2da82313, (q31_t)0xc2af5da2,
+ (q31_t)0x2d9c1967, (q31_t)0xc2b2f8d8, (q31_t)0x2d901070, (q31_t)0xc2b6966c,
+ (q31_t)0x2d84082f, (q31_t)0xc2ba365c, (q31_t)0x2d7800a5, (q31_t)0xc2bdd8a9,
+ (q31_t)0x2d6bf9d1, (q31_t)0xc2c17d52, (q31_t)0x2d5ff3b5, (q31_t)0xc2c52459,
+ (q31_t)0x2d53ee51, (q31_t)0xc2c8cdbb, (q31_t)0x2d47e9a5, (q31_t)0xc2cc7979,
+ (q31_t)0x2d3be5b1, (q31_t)0xc2d02794, (q31_t)0x2d2fe277, (q31_t)0xc2d3d80a,
+ (q31_t)0x2d23dff7, (q31_t)0xc2d78add, (q31_t)0x2d17de31, (q31_t)0xc2db400a,
+ (q31_t)0x2d0bdd25, (q31_t)0xc2def794, (q31_t)0x2cffdcd4, (q31_t)0xc2e2b178,
+ (q31_t)0x2cf3dd3f, (q31_t)0xc2e66db8, (q31_t)0x2ce7de66, (q31_t)0xc2ea2c53,
+ (q31_t)0x2cdbe04a, (q31_t)0xc2eded49, (q31_t)0x2ccfe2ea, (q31_t)0xc2f1b099,
+ (q31_t)0x2cc3e648, (q31_t)0xc2f57644, (q31_t)0x2cb7ea63, (q31_t)0xc2f93e4a,
+ (q31_t)0x2cabef3d, (q31_t)0xc2fd08a9, (q31_t)0x2c9ff4d6, (q31_t)0xc300d563,
+ (q31_t)0x2c93fb2e, (q31_t)0xc304a477, (q31_t)0x2c880245, (q31_t)0xc30875e5,
+ (q31_t)0x2c7c0a1d, (q31_t)0xc30c49ad, (q31_t)0x2c7012b5, (q31_t)0xc3101fce,
+ (q31_t)0x2c641c0e, (q31_t)0xc313f848, (q31_t)0x2c582629, (q31_t)0xc317d31c,
+ (q31_t)0x2c4c3106, (q31_t)0xc31bb049, (q31_t)0x2c403ca5, (q31_t)0xc31f8fcf,
+ (q31_t)0x2c344908, (q31_t)0xc32371ae, (q31_t)0x2c28562d, (q31_t)0xc32755e5,
+ (q31_t)0x2c1c6417, (q31_t)0xc32b3c75, (q31_t)0x2c1072c4, (q31_t)0xc32f255e,
+ (q31_t)0x2c048237, (q31_t)0xc333109e, (q31_t)0x2bf8926f, (q31_t)0xc336fe37,
+ (q31_t)0x2beca36c, (q31_t)0xc33aee27, (q31_t)0x2be0b52f, (q31_t)0xc33ee070,
+ (q31_t)0x2bd4c7ba, (q31_t)0xc342d510, (q31_t)0x2bc8db0b, (q31_t)0xc346cc07,
+ (q31_t)0x2bbcef23, (q31_t)0xc34ac556, (q31_t)0x2bb10404, (q31_t)0xc34ec0fc,
+ (q31_t)0x2ba519ad, (q31_t)0xc352bef9, (q31_t)0x2b99301f, (q31_t)0xc356bf4d,
+ (q31_t)0x2b8d475b, (q31_t)0xc35ac1f7, (q31_t)0x2b815f60, (q31_t)0xc35ec6f8,
+ (q31_t)0x2b75782f, (q31_t)0xc362ce50, (q31_t)0x2b6991ca, (q31_t)0xc366d7fd,
+ (q31_t)0x2b5dac2f, (q31_t)0xc36ae401, (q31_t)0x2b51c760, (q31_t)0xc36ef25b,
+ (q31_t)0x2b45e35d, (q31_t)0xc373030a, (q31_t)0x2b3a0027, (q31_t)0xc377160f,
+ (q31_t)0x2b2e1dbe, (q31_t)0xc37b2b6a, (q31_t)0x2b223c22, (q31_t)0xc37f4319,
+ (q31_t)0x2b165b54, (q31_t)0xc3835d1e, (q31_t)0x2b0a7b54, (q31_t)0xc3877978,
+ (q31_t)0x2afe9c24, (q31_t)0xc38b9827, (q31_t)0x2af2bdc3, (q31_t)0xc38fb92a,
+ (q31_t)0x2ae6e031, (q31_t)0xc393dc82, (q31_t)0x2adb0370, (q31_t)0xc398022f,
+ (q31_t)0x2acf277f, (q31_t)0xc39c2a2f, (q31_t)0x2ac34c60, (q31_t)0xc3a05484,
+ (q31_t)0x2ab77212, (q31_t)0xc3a4812c, (q31_t)0x2aab9896, (q31_t)0xc3a8b028,
+ (q31_t)0x2a9fbfed, (q31_t)0xc3ace178, (q31_t)0x2a93e817, (q31_t)0xc3b1151b,
+ (q31_t)0x2a881114, (q31_t)0xc3b54b11, (q31_t)0x2a7c3ae5, (q31_t)0xc3b9835a,
+ (q31_t)0x2a70658a, (q31_t)0xc3bdbdf6, (q31_t)0x2a649105, (q31_t)0xc3c1fae5,
+ (q31_t)0x2a58bd54, (q31_t)0xc3c63a26, (q31_t)0x2a4cea79, (q31_t)0xc3ca7bba,
+ (q31_t)0x2a411874, (q31_t)0xc3cebfa0, (q31_t)0x2a354746, (q31_t)0xc3d305d8,
+ (q31_t)0x2a2976ef, (q31_t)0xc3d74e62, (q31_t)0x2a1da770, (q31_t)0xc3db993e,
+ (q31_t)0x2a11d8c8, (q31_t)0xc3dfe66c, (q31_t)0x2a060af9, (q31_t)0xc3e435ea,
+ (q31_t)0x29fa3e03, (q31_t)0xc3e887bb, (q31_t)0x29ee71e6, (q31_t)0xc3ecdbdc,
+ (q31_t)0x29e2a6a3, (q31_t)0xc3f1324e, (q31_t)0x29d6dc3b, (q31_t)0xc3f58b10,
+ (q31_t)0x29cb12ad, (q31_t)0xc3f9e624, (q31_t)0x29bf49fa, (q31_t)0xc3fe4388,
+ (q31_t)0x29b38223, (q31_t)0xc402a33c, (q31_t)0x29a7bb28, (q31_t)0xc4070540,
+ (q31_t)0x299bf509, (q31_t)0xc40b6994, (q31_t)0x29902fc7, (q31_t)0xc40fd037,
+ (q31_t)0x29846b63, (q31_t)0xc414392b, (q31_t)0x2978a7dd, (q31_t)0xc418a46d,
+ (q31_t)0x296ce535, (q31_t)0xc41d11ff, (q31_t)0x2961236c, (q31_t)0xc42181e0,
+ (q31_t)0x29556282, (q31_t)0xc425f410, (q31_t)0x2949a278, (q31_t)0xc42a688f,
+ (q31_t)0x293de34e, (q31_t)0xc42edf5c, (q31_t)0x29322505, (q31_t)0xc4335877,
+ (q31_t)0x2926679c, (q31_t)0xc437d3e1, (q31_t)0x291aab16, (q31_t)0xc43c5199,
+ (q31_t)0x290eef71, (q31_t)0xc440d19e, (q31_t)0x290334af, (q31_t)0xc44553f2,
+ (q31_t)0x28f77acf, (q31_t)0xc449d892, (q31_t)0x28ebc1d3, (q31_t)0xc44e5f80,
+ (q31_t)0x28e009ba, (q31_t)0xc452e8bc, (q31_t)0x28d45286, (q31_t)0xc4577444,
+ (q31_t)0x28c89c37, (q31_t)0xc45c0219, (q31_t)0x28bce6cd, (q31_t)0xc460923b,
+ (q31_t)0x28b13248, (q31_t)0xc46524a9, (q31_t)0x28a57ea9, (q31_t)0xc469b963,
+ (q31_t)0x2899cbf1, (q31_t)0xc46e5069, (q31_t)0x288e1a20, (q31_t)0xc472e9bc,
+ (q31_t)0x28826936, (q31_t)0xc477855a, (q31_t)0x2876b934, (q31_t)0xc47c2344,
+ (q31_t)0x286b0a1a, (q31_t)0xc480c379, (q31_t)0x285f5be9, (q31_t)0xc48565f9,
+ (q31_t)0x2853aea1, (q31_t)0xc48a0ac4, (q31_t)0x28480243, (q31_t)0xc48eb1db,
+ (q31_t)0x283c56cf, (q31_t)0xc4935b3c, (q31_t)0x2830ac45, (q31_t)0xc49806e7,
+ (q31_t)0x282502a7, (q31_t)0xc49cb4dd, (q31_t)0x281959f4, (q31_t)0xc4a1651c,
+ (q31_t)0x280db22d, (q31_t)0xc4a617a6, (q31_t)0x28020b52, (q31_t)0xc4aacc7a,
+ (q31_t)0x27f66564, (q31_t)0xc4af8397, (q31_t)0x27eac063, (q31_t)0xc4b43cfd,
+ (q31_t)0x27df1c50, (q31_t)0xc4b8f8ad, (q31_t)0x27d3792b, (q31_t)0xc4bdb6a6,
+ (q31_t)0x27c7d6f4, (q31_t)0xc4c276e8, (q31_t)0x27bc35ad, (q31_t)0xc4c73972,
+ (q31_t)0x27b09555, (q31_t)0xc4cbfe45, (q31_t)0x27a4f5ed, (q31_t)0xc4d0c560,
+ (q31_t)0x27995776, (q31_t)0xc4d58ec3, (q31_t)0x278db9ef, (q31_t)0xc4da5a6f,
+ (q31_t)0x27821d59, (q31_t)0xc4df2862, (q31_t)0x277681b6, (q31_t)0xc4e3f89c,
+ (q31_t)0x276ae704, (q31_t)0xc4e8cb1e, (q31_t)0x275f4d45, (q31_t)0xc4ed9fe7,
+ (q31_t)0x2753b479, (q31_t)0xc4f276f7, (q31_t)0x27481ca1, (q31_t)0xc4f7504e,
+ (q31_t)0x273c85bc, (q31_t)0xc4fc2bec, (q31_t)0x2730efcc, (q31_t)0xc50109d0,
+ (q31_t)0x27255ad1, (q31_t)0xc505e9fb, (q31_t)0x2719c6cb, (q31_t)0xc50acc6b,
+ (q31_t)0x270e33bb, (q31_t)0xc50fb121, (q31_t)0x2702a1a1, (q31_t)0xc514981d,
+ (q31_t)0x26f7107e, (q31_t)0xc519815f, (q31_t)0x26eb8052, (q31_t)0xc51e6ce6,
+ (q31_t)0x26dff11d, (q31_t)0xc5235ab2, (q31_t)0x26d462e1, (q31_t)0xc5284ac3,
+ (q31_t)0x26c8d59c, (q31_t)0xc52d3d18, (q31_t)0x26bd4951, (q31_t)0xc53231b3,
+ (q31_t)0x26b1bdff, (q31_t)0xc5372891, (q31_t)0x26a633a6, (q31_t)0xc53c21b4,
+ (q31_t)0x269aaa48, (q31_t)0xc5411d1b, (q31_t)0x268f21e5, (q31_t)0xc5461ac6,
+ (q31_t)0x26839a7c, (q31_t)0xc54b1ab4, (q31_t)0x26781410, (q31_t)0xc5501ce5,
+ (q31_t)0x266c8e9f, (q31_t)0xc555215a, (q31_t)0x26610a2a, (q31_t)0xc55a2812,
+ (q31_t)0x265586b3, (q31_t)0xc55f310d, (q31_t)0x264a0438, (q31_t)0xc5643c4a,
+ (q31_t)0x263e82bc, (q31_t)0xc56949ca, (q31_t)0x2633023e, (q31_t)0xc56e598c,
+ (q31_t)0x262782be, (q31_t)0xc5736b90, (q31_t)0x261c043d, (q31_t)0xc5787fd6,
+ (q31_t)0x261086bc, (q31_t)0xc57d965d, (q31_t)0x26050a3b, (q31_t)0xc582af26,
+ (q31_t)0x25f98ebb, (q31_t)0xc587ca31, (q31_t)0x25ee143b, (q31_t)0xc58ce77c,
+ (q31_t)0x25e29abc, (q31_t)0xc5920708, (q31_t)0x25d72240, (q31_t)0xc59728d5,
+ (q31_t)0x25cbaac5, (q31_t)0xc59c4ce3, (q31_t)0x25c0344d, (q31_t)0xc5a17330,
+ (q31_t)0x25b4bed8, (q31_t)0xc5a69bbe, (q31_t)0x25a94a67, (q31_t)0xc5abc68c,
+ (q31_t)0x259dd6f9, (q31_t)0xc5b0f399, (q31_t)0x25926490, (q31_t)0xc5b622e6,
+ (q31_t)0x2586f32c, (q31_t)0xc5bb5472, (q31_t)0x257b82cd, (q31_t)0xc5c0883d,
+ (q31_t)0x25701374, (q31_t)0xc5c5be47, (q31_t)0x2564a521, (q31_t)0xc5caf690,
+ (q31_t)0x255937d5, (q31_t)0xc5d03118, (q31_t)0x254dcb8f, (q31_t)0xc5d56ddd,
+ (q31_t)0x25426051, (q31_t)0xc5daace1, (q31_t)0x2536f61b, (q31_t)0xc5dfee22,
+ (q31_t)0x252b8cee, (q31_t)0xc5e531a1, (q31_t)0x252024c9, (q31_t)0xc5ea775e,
+ (q31_t)0x2514bdad, (q31_t)0xc5efbf58, (q31_t)0x2509579b, (q31_t)0xc5f5098f,
+ (q31_t)0x24fdf294, (q31_t)0xc5fa5603, (q31_t)0x24f28e96, (q31_t)0xc5ffa4b3,
+ (q31_t)0x24e72ba4, (q31_t)0xc604f5a0, (q31_t)0x24dbc9bd, (q31_t)0xc60a48c9,
+ (q31_t)0x24d068e2, (q31_t)0xc60f9e2e, (q31_t)0x24c50914, (q31_t)0xc614f5cf,
+ (q31_t)0x24b9aa52, (q31_t)0xc61a4fac, (q31_t)0x24ae4c9d, (q31_t)0xc61fabc4,
+ (q31_t)0x24a2eff6, (q31_t)0xc6250a18, (q31_t)0x2497945d, (q31_t)0xc62a6aa6,
+ (q31_t)0x248c39d3, (q31_t)0xc62fcd6f, (q31_t)0x2480e057, (q31_t)0xc6353273,
+ (q31_t)0x247587eb, (q31_t)0xc63a99b1, (q31_t)0x246a308f, (q31_t)0xc6400329,
+ (q31_t)0x245eda43, (q31_t)0xc6456edb, (q31_t)0x24538507, (q31_t)0xc64adcc7,
+ (q31_t)0x244830dd, (q31_t)0xc6504ced, (q31_t)0x243cddc4, (q31_t)0xc655bf4c,
+ (q31_t)0x24318bbe, (q31_t)0xc65b33e4, (q31_t)0x24263ac9, (q31_t)0xc660aab5,
+ (q31_t)0x241aeae8, (q31_t)0xc66623be, (q31_t)0x240f9c1a, (q31_t)0xc66b9f01,
+ (q31_t)0x24044e60, (q31_t)0xc6711c7b, (q31_t)0x23f901ba, (q31_t)0xc6769c2e,
+ (q31_t)0x23edb628, (q31_t)0xc67c1e18, (q31_t)0x23e26bac, (q31_t)0xc681a23a,
+ (q31_t)0x23d72245, (q31_t)0xc6872894, (q31_t)0x23cbd9f4, (q31_t)0xc68cb124,
+ (q31_t)0x23c092b9, (q31_t)0xc6923bec, (q31_t)0x23b54c95, (q31_t)0xc697c8eb,
+ (q31_t)0x23aa0788, (q31_t)0xc69d5820, (q31_t)0x239ec393, (q31_t)0xc6a2e98b,
+ (q31_t)0x239380b6, (q31_t)0xc6a87d2d, (q31_t)0x23883ef2, (q31_t)0xc6ae1304,
+ (q31_t)0x237cfe47, (q31_t)0xc6b3ab12, (q31_t)0x2371beb5, (q31_t)0xc6b94554,
+ (q31_t)0x2366803c, (q31_t)0xc6bee1cd, (q31_t)0x235b42df, (q31_t)0xc6c4807a,
+ (q31_t)0x2350069b, (q31_t)0xc6ca215c, (q31_t)0x2344cb73, (q31_t)0xc6cfc472,
+ (q31_t)0x23399167, (q31_t)0xc6d569be, (q31_t)0x232e5876, (q31_t)0xc6db113d,
+ (q31_t)0x232320a2, (q31_t)0xc6e0baf0, (q31_t)0x2317e9eb, (q31_t)0xc6e666d7,
+ (q31_t)0x230cb451, (q31_t)0xc6ec14f2, (q31_t)0x23017fd5, (q31_t)0xc6f1c540,
+ (q31_t)0x22f64c77, (q31_t)0xc6f777c1, (q31_t)0x22eb1a37, (q31_t)0xc6fd2c75,
+ (q31_t)0x22dfe917, (q31_t)0xc702e35c, (q31_t)0x22d4b916, (q31_t)0xc7089c75,
+ (q31_t)0x22c98a35, (q31_t)0xc70e57c0, (q31_t)0x22be5c74, (q31_t)0xc714153e,
+ (q31_t)0x22b32fd4, (q31_t)0xc719d4ed, (q31_t)0x22a80456, (q31_t)0xc71f96ce,
+ (q31_t)0x229cd9f8, (q31_t)0xc7255ae0, (q31_t)0x2291b0bd, (q31_t)0xc72b2123,
+ (q31_t)0x228688a4, (q31_t)0xc730e997, (q31_t)0x227b61af, (q31_t)0xc736b43c,
+ (q31_t)0x22703bdc, (q31_t)0xc73c8111, (q31_t)0x2265172e, (q31_t)0xc7425016,
+ (q31_t)0x2259f3a3, (q31_t)0xc748214c, (q31_t)0x224ed13d, (q31_t)0xc74df4b1,
+ (q31_t)0x2243affc, (q31_t)0xc753ca46, (q31_t)0x22388fe1, (q31_t)0xc759a20a,
+ (q31_t)0x222d70eb, (q31_t)0xc75f7bfe, (q31_t)0x2222531c, (q31_t)0xc7655820,
+ (q31_t)0x22173674, (q31_t)0xc76b3671, (q31_t)0x220c1af3, (q31_t)0xc77116f0,
+ (q31_t)0x22010099, (q31_t)0xc776f99d, (q31_t)0x21f5e768, (q31_t)0xc77cde79,
+ (q31_t)0x21eacf5f, (q31_t)0xc782c582, (q31_t)0x21dfb87f, (q31_t)0xc788aeb9,
+ (q31_t)0x21d4a2c8, (q31_t)0xc78e9a1d, (q31_t)0x21c98e3b, (q31_t)0xc79487ae,
+ (q31_t)0x21be7ad8, (q31_t)0xc79a776c, (q31_t)0x21b368a0, (q31_t)0xc7a06957,
+ (q31_t)0x21a85793, (q31_t)0xc7a65d6e, (q31_t)0x219d47b1, (q31_t)0xc7ac53b1,
+ (q31_t)0x219238fb, (q31_t)0xc7b24c20, (q31_t)0x21872b72, (q31_t)0xc7b846ba,
+ (q31_t)0x217c1f15, (q31_t)0xc7be4381, (q31_t)0x217113e5, (q31_t)0xc7c44272,
+ (q31_t)0x216609e3, (q31_t)0xc7ca438f, (q31_t)0x215b0110, (q31_t)0xc7d046d6,
+ (q31_t)0x214ff96a, (q31_t)0xc7d64c47, (q31_t)0x2144f2f3, (q31_t)0xc7dc53e3,
+ (q31_t)0x2139edac, (q31_t)0xc7e25daa, (q31_t)0x212ee995, (q31_t)0xc7e8699a,
+ (q31_t)0x2123e6ad, (q31_t)0xc7ee77b3, (q31_t)0x2118e4f6, (q31_t)0xc7f487f6,
+ (q31_t)0x210de470, (q31_t)0xc7fa9a62, (q31_t)0x2102e51c, (q31_t)0xc800aef7,
+ (q31_t)0x20f7e6f9, (q31_t)0xc806c5b5, (q31_t)0x20ecea09, (q31_t)0xc80cde9b,
+ (q31_t)0x20e1ee4b, (q31_t)0xc812f9a9, (q31_t)0x20d6f3c1, (q31_t)0xc81916df,
+ (q31_t)0x20cbfa6a, (q31_t)0xc81f363d, (q31_t)0x20c10247, (q31_t)0xc82557c3,
+ (q31_t)0x20b60b58, (q31_t)0xc82b7b70, (q31_t)0x20ab159e, (q31_t)0xc831a143,
+ (q31_t)0x20a0211a, (q31_t)0xc837c93e, (q31_t)0x20952dcb, (q31_t)0xc83df35f,
+ (q31_t)0x208a3bb2, (q31_t)0xc8441fa6, (q31_t)0x207f4acf, (q31_t)0xc84a4e14,
+ (q31_t)0x20745b24, (q31_t)0xc8507ea7, (q31_t)0x20696cb0, (q31_t)0xc856b160,
+ (q31_t)0x205e7f74, (q31_t)0xc85ce63e, (q31_t)0x2053936f, (q31_t)0xc8631d42,
+ (q31_t)0x2048a8a4, (q31_t)0xc869566a, (q31_t)0x203dbf11, (q31_t)0xc86f91b7,
+ (q31_t)0x2032d6b8, (q31_t)0xc875cf28, (q31_t)0x2027ef99, (q31_t)0xc87c0ebd,
+ (q31_t)0x201d09b4, (q31_t)0xc8825077, (q31_t)0x2012250a, (q31_t)0xc8889454,
+ (q31_t)0x2007419b, (q31_t)0xc88eda54, (q31_t)0x1ffc5f67, (q31_t)0xc8952278,
+ (q31_t)0x1ff17e70, (q31_t)0xc89b6cbf, (q31_t)0x1fe69eb4, (q31_t)0xc8a1b928,
+ (q31_t)0x1fdbc036, (q31_t)0xc8a807b4, (q31_t)0x1fd0e2f5, (q31_t)0xc8ae5862,
+ (q31_t)0x1fc606f1, (q31_t)0xc8b4ab32, (q31_t)0x1fbb2c2c, (q31_t)0xc8bb0023,
+ (q31_t)0x1fb052a5, (q31_t)0xc8c15736, (q31_t)0x1fa57a5d, (q31_t)0xc8c7b06b,
+ (q31_t)0x1f9aa354, (q31_t)0xc8ce0bc0, (q31_t)0x1f8fcd8b, (q31_t)0xc8d46936,
+ (q31_t)0x1f84f902, (q31_t)0xc8dac8cd, (q31_t)0x1f7a25ba, (q31_t)0xc8e12a84,
+ (q31_t)0x1f6f53b3, (q31_t)0xc8e78e5b, (q31_t)0x1f6482ed, (q31_t)0xc8edf452,
+ (q31_t)0x1f59b369, (q31_t)0xc8f45c68, (q31_t)0x1f4ee527, (q31_t)0xc8fac69e,
+ (q31_t)0x1f441828, (q31_t)0xc90132f2, (q31_t)0x1f394c6b, (q31_t)0xc907a166,
+ (q31_t)0x1f2e81f3, (q31_t)0xc90e11f7, (q31_t)0x1f23b8be, (q31_t)0xc91484a8,
+ (q31_t)0x1f18f0ce, (q31_t)0xc91af976, (q31_t)0x1f0e2a22, (q31_t)0xc9217062,
+ (q31_t)0x1f0364bc, (q31_t)0xc927e96b, (q31_t)0x1ef8a09b, (q31_t)0xc92e6492,
+ (q31_t)0x1eedddc0, (q31_t)0xc934e1d6, (q31_t)0x1ee31c2b, (q31_t)0xc93b6137,
+ (q31_t)0x1ed85bdd, (q31_t)0xc941e2b4, (q31_t)0x1ecd9cd7, (q31_t)0xc948664d,
+ (q31_t)0x1ec2df18, (q31_t)0xc94eec03, (q31_t)0x1eb822a1, (q31_t)0xc95573d4,
+ (q31_t)0x1ead6773, (q31_t)0xc95bfdc1, (q31_t)0x1ea2ad8d, (q31_t)0xc96289c9,
+ (q31_t)0x1e97f4f1, (q31_t)0xc96917ec, (q31_t)0x1e8d3d9e, (q31_t)0xc96fa82a,
+ (q31_t)0x1e828796, (q31_t)0xc9763a83, (q31_t)0x1e77d2d8, (q31_t)0xc97ccef5,
+ (q31_t)0x1e6d1f65, (q31_t)0xc9836582, (q31_t)0x1e626d3e, (q31_t)0xc989fe29,
+ (q31_t)0x1e57bc62, (q31_t)0xc99098e9, (q31_t)0x1e4d0cd2, (q31_t)0xc99735c2,
+ (q31_t)0x1e425e8f, (q31_t)0xc99dd4b4, (q31_t)0x1e37b199, (q31_t)0xc9a475bf,
+ (q31_t)0x1e2d05f1, (q31_t)0xc9ab18e3, (q31_t)0x1e225b96, (q31_t)0xc9b1be1e,
+ (q31_t)0x1e17b28a, (q31_t)0xc9b86572, (q31_t)0x1e0d0acc, (q31_t)0xc9bf0edd,
+ (q31_t)0x1e02645d, (q31_t)0xc9c5ba60, (q31_t)0x1df7bf3e, (q31_t)0xc9cc67fa,
+ (q31_t)0x1ded1b6e, (q31_t)0xc9d317ab, (q31_t)0x1de278ef, (q31_t)0xc9d9c973,
+ (q31_t)0x1dd7d7c1, (q31_t)0xc9e07d51, (q31_t)0x1dcd37e4, (q31_t)0xc9e73346,
+ (q31_t)0x1dc29958, (q31_t)0xc9edeb50, (q31_t)0x1db7fc1e, (q31_t)0xc9f4a570,
+ (q31_t)0x1dad6036, (q31_t)0xc9fb61a5, (q31_t)0x1da2c5a2, (q31_t)0xca021fef,
+ (q31_t)0x1d982c60, (q31_t)0xca08e04f, (q31_t)0x1d8d9472, (q31_t)0xca0fa2c3,
+ (q31_t)0x1d82fdd8, (q31_t)0xca16674b, (q31_t)0x1d786892, (q31_t)0xca1d2de7,
+ (q31_t)0x1d6dd4a2, (q31_t)0xca23f698, (q31_t)0x1d634206, (q31_t)0xca2ac15b,
+ (q31_t)0x1d58b0c0, (q31_t)0xca318e32, (q31_t)0x1d4e20d0, (q31_t)0xca385d1d,
+ (q31_t)0x1d439236, (q31_t)0xca3f2e19, (q31_t)0x1d3904f4, (q31_t)0xca460129,
+ (q31_t)0x1d2e7908, (q31_t)0xca4cd64b, (q31_t)0x1d23ee74, (q31_t)0xca53ad7e,
+ (q31_t)0x1d196538, (q31_t)0xca5a86c4, (q31_t)0x1d0edd55, (q31_t)0xca61621b,
+ (q31_t)0x1d0456ca, (q31_t)0xca683f83, (q31_t)0x1cf9d199, (q31_t)0xca6f1efc,
+ (q31_t)0x1cef4dc2, (q31_t)0xca760086, (q31_t)0x1ce4cb44, (q31_t)0xca7ce420,
+ (q31_t)0x1cda4a21, (q31_t)0xca83c9ca, (q31_t)0x1ccfca59, (q31_t)0xca8ab184,
+ (q31_t)0x1cc54bec, (q31_t)0xca919b4e, (q31_t)0x1cbacedb, (q31_t)0xca988727,
+ (q31_t)0x1cb05326, (q31_t)0xca9f750f, (q31_t)0x1ca5d8cd, (q31_t)0xcaa66506,
+ (q31_t)0x1c9b5fd2, (q31_t)0xcaad570c, (q31_t)0x1c90e834, (q31_t)0xcab44b1f,
+ (q31_t)0x1c8671f3, (q31_t)0xcabb4141, (q31_t)0x1c7bfd11, (q31_t)0xcac23971,
+ (q31_t)0x1c71898d, (q31_t)0xcac933ae, (q31_t)0x1c671768, (q31_t)0xcad02ff8,
+ (q31_t)0x1c5ca6a2, (q31_t)0xcad72e4f, (q31_t)0x1c52373c, (q31_t)0xcade2eb3,
+ (q31_t)0x1c47c936, (q31_t)0xcae53123, (q31_t)0x1c3d5c91, (q31_t)0xcaec35a0,
+ (q31_t)0x1c32f14d, (q31_t)0xcaf33c28, (q31_t)0x1c28876a, (q31_t)0xcafa44bc,
+ (q31_t)0x1c1e1ee9, (q31_t)0xcb014f5b, (q31_t)0x1c13b7c9, (q31_t)0xcb085c05,
+ (q31_t)0x1c09520d, (q31_t)0xcb0f6aba, (q31_t)0x1bfeedb3, (q31_t)0xcb167b79,
+ (q31_t)0x1bf48abd, (q31_t)0xcb1d8e43, (q31_t)0x1bea292b, (q31_t)0xcb24a316,
+ (q31_t)0x1bdfc8fc, (q31_t)0xcb2bb9f4, (q31_t)0x1bd56a32, (q31_t)0xcb32d2da,
+ (q31_t)0x1bcb0cce, (q31_t)0xcb39edca, (q31_t)0x1bc0b0ce, (q31_t)0xcb410ac3,
+ (q31_t)0x1bb65634, (q31_t)0xcb4829c4, (q31_t)0x1babfd01, (q31_t)0xcb4f4acd,
+ (q31_t)0x1ba1a534, (q31_t)0xcb566ddf, (q31_t)0x1b974ece, (q31_t)0xcb5d92f8,
+ (q31_t)0x1b8cf9cf, (q31_t)0xcb64ba19, (q31_t)0x1b82a638, (q31_t)0xcb6be341,
+ (q31_t)0x1b785409, (q31_t)0xcb730e70, (q31_t)0x1b6e0342, (q31_t)0xcb7a3ba5,
+ (q31_t)0x1b63b3e5, (q31_t)0xcb816ae1, (q31_t)0x1b5965f1, (q31_t)0xcb889c23,
+ (q31_t)0x1b4f1967, (q31_t)0xcb8fcf6b, (q31_t)0x1b44ce46, (q31_t)0xcb9704b9,
+ (q31_t)0x1b3a8491, (q31_t)0xcb9e3c0b, (q31_t)0x1b303c46, (q31_t)0xcba57563,
+ (q31_t)0x1b25f566, (q31_t)0xcbacb0bf, (q31_t)0x1b1baff2, (q31_t)0xcbb3ee20,
+ (q31_t)0x1b116beb, (q31_t)0xcbbb2d85, (q31_t)0x1b072950, (q31_t)0xcbc26eee,
+ (q31_t)0x1afce821, (q31_t)0xcbc9b25a, (q31_t)0x1af2a860, (q31_t)0xcbd0f7ca,
+ (q31_t)0x1ae86a0d, (q31_t)0xcbd83f3d, (q31_t)0x1ade2d28, (q31_t)0xcbdf88b3,
+ (q31_t)0x1ad3f1b1, (q31_t)0xcbe6d42b, (q31_t)0x1ac9b7a9, (q31_t)0xcbee21a5,
+ (q31_t)0x1abf7f11, (q31_t)0xcbf57121, (q31_t)0x1ab547e8, (q31_t)0xcbfcc29f,
+ (q31_t)0x1aab122f, (q31_t)0xcc04161e, (q31_t)0x1aa0dde7, (q31_t)0xcc0b6b9e,
+ (q31_t)0x1a96ab0f, (q31_t)0xcc12c31f, (q31_t)0x1a8c79a9, (q31_t)0xcc1a1ca0,
+ (q31_t)0x1a8249b4, (q31_t)0xcc217822, (q31_t)0x1a781b31, (q31_t)0xcc28d5a3,
+ (q31_t)0x1a6dee21, (q31_t)0xcc303524, (q31_t)0x1a63c284, (q31_t)0xcc3796a5,
+ (q31_t)0x1a599859, (q31_t)0xcc3efa25, (q31_t)0x1a4f6fa3, (q31_t)0xcc465fa3,
+ (q31_t)0x1a454860, (q31_t)0xcc4dc720, (q31_t)0x1a3b2292, (q31_t)0xcc55309b,
+ (q31_t)0x1a30fe38, (q31_t)0xcc5c9c14, (q31_t)0x1a26db54, (q31_t)0xcc64098b,
+ (q31_t)0x1a1cb9e5, (q31_t)0xcc6b78ff, (q31_t)0x1a1299ec, (q31_t)0xcc72ea70,
+ (q31_t)0x1a087b69, (q31_t)0xcc7a5dde, (q31_t)0x19fe5e5e, (q31_t)0xcc81d349,
+ (q31_t)0x19f442c9, (q31_t)0xcc894aaf, (q31_t)0x19ea28ac, (q31_t)0xcc90c412,
+ (q31_t)0x19e01006, (q31_t)0xcc983f70, (q31_t)0x19d5f8d9, (q31_t)0xcc9fbcca,
+ (q31_t)0x19cbe325, (q31_t)0xcca73c1e, (q31_t)0x19c1cee9, (q31_t)0xccaebd6e,
+ (q31_t)0x19b7bc27, (q31_t)0xccb640b8, (q31_t)0x19adaadf, (q31_t)0xccbdc5fc,
+ (q31_t)0x19a39b11, (q31_t)0xccc54d3a, (q31_t)0x19998cbe, (q31_t)0xccccd671,
+ (q31_t)0x198f7fe6, (q31_t)0xccd461a2, (q31_t)0x19857489, (q31_t)0xccdbeecc,
+ (q31_t)0x197b6aa8, (q31_t)0xcce37def, (q31_t)0x19716243, (q31_t)0xcceb0f0a,
+ (q31_t)0x19675b5a, (q31_t)0xccf2a21d, (q31_t)0x195d55ef, (q31_t)0xccfa3729,
+ (q31_t)0x19535201, (q31_t)0xcd01ce2b, (q31_t)0x19494f90, (q31_t)0xcd096725,
+ (q31_t)0x193f4e9e, (q31_t)0xcd110216, (q31_t)0x19354f2a, (q31_t)0xcd189efe,
+ (q31_t)0x192b5135, (q31_t)0xcd203ddc, (q31_t)0x192154bf, (q31_t)0xcd27deb0,
+ (q31_t)0x191759c9, (q31_t)0xcd2f817b, (q31_t)0x190d6053, (q31_t)0xcd37263a,
+ (q31_t)0x1903685d, (q31_t)0xcd3eccef, (q31_t)0x18f971e8, (q31_t)0xcd467599,
+ (q31_t)0x18ef7cf4, (q31_t)0xcd4e2037, (q31_t)0x18e58982, (q31_t)0xcd55ccca,
+ (q31_t)0x18db9792, (q31_t)0xcd5d7b50, (q31_t)0x18d1a724, (q31_t)0xcd652bcb,
+ (q31_t)0x18c7b838, (q31_t)0xcd6cde39, (q31_t)0x18bdcad0, (q31_t)0xcd74929a,
+ (q31_t)0x18b3deeb, (q31_t)0xcd7c48ee, (q31_t)0x18a9f48a, (q31_t)0xcd840134,
+ (q31_t)0x18a00bae, (q31_t)0xcd8bbb6d, (q31_t)0x18962456, (q31_t)0xcd937798,
+ (q31_t)0x188c3e83, (q31_t)0xcd9b35b4, (q31_t)0x18825a35, (q31_t)0xcda2f5c2,
+ (q31_t)0x1878776d, (q31_t)0xcdaab7c0, (q31_t)0x186e962b, (q31_t)0xcdb27bb0,
+ (q31_t)0x1864b670, (q31_t)0xcdba4190, (q31_t)0x185ad83c, (q31_t)0xcdc20960,
+ (q31_t)0x1850fb8e, (q31_t)0xcdc9d320, (q31_t)0x18472069, (q31_t)0xcdd19ed0,
+ (q31_t)0x183d46cc, (q31_t)0xcdd96c6f, (q31_t)0x18336eb7, (q31_t)0xcde13bfd,
+ (q31_t)0x1829982b, (q31_t)0xcde90d79, (q31_t)0x181fc328, (q31_t)0xcdf0e0e4,
+ (q31_t)0x1815efae, (q31_t)0xcdf8b63d, (q31_t)0x180c1dbf, (q31_t)0xce008d84,
+ (q31_t)0x18024d59, (q31_t)0xce0866b8, (q31_t)0x17f87e7f, (q31_t)0xce1041d9,
+ (q31_t)0x17eeb130, (q31_t)0xce181ee8, (q31_t)0x17e4e56c, (q31_t)0xce1ffde2,
+ (q31_t)0x17db1b34, (q31_t)0xce27dec9, (q31_t)0x17d15288, (q31_t)0xce2fc19c,
+ (q31_t)0x17c78b68, (q31_t)0xce37a65b, (q31_t)0x17bdc5d6, (q31_t)0xce3f8d05,
+ (q31_t)0x17b401d1, (q31_t)0xce47759a, (q31_t)0x17aa3f5a, (q31_t)0xce4f6019,
+ (q31_t)0x17a07e70, (q31_t)0xce574c84, (q31_t)0x1796bf16, (q31_t)0xce5f3ad8,
+ (q31_t)0x178d014a, (q31_t)0xce672b16, (q31_t)0x1783450d, (q31_t)0xce6f1d3d,
+ (q31_t)0x17798a60, (q31_t)0xce77114e, (q31_t)0x176fd143, (q31_t)0xce7f0748,
+ (q31_t)0x176619b6, (q31_t)0xce86ff2a, (q31_t)0x175c63ba, (q31_t)0xce8ef8f4,
+ (q31_t)0x1752af4f, (q31_t)0xce96f4a7, (q31_t)0x1748fc75, (q31_t)0xce9ef241,
+ (q31_t)0x173f4b2e, (q31_t)0xcea6f1c2, (q31_t)0x17359b78, (q31_t)0xceaef32b,
+ (q31_t)0x172bed55, (q31_t)0xceb6f67a, (q31_t)0x172240c5, (q31_t)0xcebefbb0,
+ (q31_t)0x171895c9, (q31_t)0xcec702cb, (q31_t)0x170eec60, (q31_t)0xcecf0bcd,
+ (q31_t)0x1705448b, (q31_t)0xced716b4, (q31_t)0x16fb9e4b, (q31_t)0xcedf2380,
+ (q31_t)0x16f1f99f, (q31_t)0xcee73231, (q31_t)0x16e85689, (q31_t)0xceef42c7,
+ (q31_t)0x16deb508, (q31_t)0xcef75541, (q31_t)0x16d5151d, (q31_t)0xceff699f,
+ (q31_t)0x16cb76c9, (q31_t)0xcf077fe1, (q31_t)0x16c1da0b, (q31_t)0xcf0f9805,
+ (q31_t)0x16b83ee4, (q31_t)0xcf17b20d, (q31_t)0x16aea555, (q31_t)0xcf1fcdf8,
+ (q31_t)0x16a50d5d, (q31_t)0xcf27ebc5, (q31_t)0x169b76fe, (q31_t)0xcf300b74,
+ (q31_t)0x1691e237, (q31_t)0xcf382d05, (q31_t)0x16884f09, (q31_t)0xcf405077,
+ (q31_t)0x167ebd74, (q31_t)0xcf4875ca, (q31_t)0x16752d79, (q31_t)0xcf509cfe,
+ (q31_t)0x166b9f18, (q31_t)0xcf58c613, (q31_t)0x16621251, (q31_t)0xcf60f108,
+ (q31_t)0x16588725, (q31_t)0xcf691ddd, (q31_t)0x164efd94, (q31_t)0xcf714c91,
+ (q31_t)0x1645759f, (q31_t)0xcf797d24, (q31_t)0x163bef46, (q31_t)0xcf81af97,
+ (q31_t)0x16326a88, (q31_t)0xcf89e3e8, (q31_t)0x1628e767, (q31_t)0xcf921a17,
+ (q31_t)0x161f65e4, (q31_t)0xcf9a5225, (q31_t)0x1615e5fd, (q31_t)0xcfa28c10,
+ (q31_t)0x160c67b4, (q31_t)0xcfaac7d8, (q31_t)0x1602eb0a, (q31_t)0xcfb3057d,
+ (q31_t)0x15f96ffd, (q31_t)0xcfbb4500, (q31_t)0x15eff690, (q31_t)0xcfc3865e,
+ (q31_t)0x15e67ec1, (q31_t)0xcfcbc999, (q31_t)0x15dd0892, (q31_t)0xcfd40eaf,
+ (q31_t)0x15d39403, (q31_t)0xcfdc55a1, (q31_t)0x15ca2115, (q31_t)0xcfe49e6d,
+ (q31_t)0x15c0afc6, (q31_t)0xcfece915, (q31_t)0x15b74019, (q31_t)0xcff53597,
+ (q31_t)0x15add20d, (q31_t)0xcffd83f4, (q31_t)0x15a465a3, (q31_t)0xd005d42a,
+ (q31_t)0x159afadb, (q31_t)0xd00e2639, (q31_t)0x159191b5, (q31_t)0xd0167a22,
+ (q31_t)0x15882a32, (q31_t)0xd01ecfe4, (q31_t)0x157ec452, (q31_t)0xd027277e,
+ (q31_t)0x15756016, (q31_t)0xd02f80f1, (q31_t)0x156bfd7d, (q31_t)0xd037dc3b,
+ (q31_t)0x15629c89, (q31_t)0xd040395d, (q31_t)0x15593d3a, (q31_t)0xd0489856,
+ (q31_t)0x154fdf8f, (q31_t)0xd050f926, (q31_t)0x15468389, (q31_t)0xd0595bcd,
+ (q31_t)0x153d292a, (q31_t)0xd061c04a, (q31_t)0x1533d070, (q31_t)0xd06a269d,
+ (q31_t)0x152a795d, (q31_t)0xd0728ec6, (q31_t)0x152123f0, (q31_t)0xd07af8c4,
+ (q31_t)0x1517d02b, (q31_t)0xd0836497, (q31_t)0x150e7e0d, (q31_t)0xd08bd23f,
+ (q31_t)0x15052d97, (q31_t)0xd09441bb, (q31_t)0x14fbdec9, (q31_t)0xd09cb30b,
+ (q31_t)0x14f291a4, (q31_t)0xd0a5262f, (q31_t)0x14e94627, (q31_t)0xd0ad9b26,
+ (q31_t)0x14dffc54, (q31_t)0xd0b611f1, (q31_t)0x14d6b42b, (q31_t)0xd0be8a8d,
+ (q31_t)0x14cd6dab, (q31_t)0xd0c704fd, (q31_t)0x14c428d6, (q31_t)0xd0cf813e,
+ (q31_t)0x14bae5ab, (q31_t)0xd0d7ff51, (q31_t)0x14b1a42c, (q31_t)0xd0e07f36,
+ (q31_t)0x14a86458, (q31_t)0xd0e900ec, (q31_t)0x149f2630, (q31_t)0xd0f18472,
+ (q31_t)0x1495e9b3, (q31_t)0xd0fa09c9, (q31_t)0x148caee4, (q31_t)0xd10290f0,
+ (q31_t)0x148375c1, (q31_t)0xd10b19e7, (q31_t)0x147a3e4b, (q31_t)0xd113a4ad,
+ (q31_t)0x14710883, (q31_t)0xd11c3142, (q31_t)0x1467d469, (q31_t)0xd124bfa6,
+ (q31_t)0x145ea1fd, (q31_t)0xd12d4fd9, (q31_t)0x14557140, (q31_t)0xd135e1d9,
+ (q31_t)0x144c4232, (q31_t)0xd13e75a8, (q31_t)0x144314d3, (q31_t)0xd1470b44,
+ (q31_t)0x1439e923, (q31_t)0xd14fa2ad, (q31_t)0x1430bf24, (q31_t)0xd1583be2,
+ (q31_t)0x142796d5, (q31_t)0xd160d6e5, (q31_t)0x141e7037, (q31_t)0xd16973b3,
+ (q31_t)0x14154b4a, (q31_t)0xd172124d, (q31_t)0x140c280e, (q31_t)0xd17ab2b3,
+ (q31_t)0x14030684, (q31_t)0xd18354e4, (q31_t)0x13f9e6ad, (q31_t)0xd18bf8e0,
+ (q31_t)0x13f0c887, (q31_t)0xd1949ea6, (q31_t)0x13e7ac15, (q31_t)0xd19d4636,
+ (q31_t)0x13de9156, (q31_t)0xd1a5ef90, (q31_t)0x13d5784a, (q31_t)0xd1ae9ab4,
+ (q31_t)0x13cc60f2, (q31_t)0xd1b747a0, (q31_t)0x13c34b4f, (q31_t)0xd1bff656,
+ (q31_t)0x13ba3760, (q31_t)0xd1c8a6d4, (q31_t)0x13b12526, (q31_t)0xd1d1591a,
+ (q31_t)0x13a814a2, (q31_t)0xd1da0d28, (q31_t)0x139f05d3, (q31_t)0xd1e2c2fd,
+ (q31_t)0x1395f8ba, (q31_t)0xd1eb7a9a, (q31_t)0x138ced57, (q31_t)0xd1f433fd,
+ (q31_t)0x1383e3ab, (q31_t)0xd1fcef27, (q31_t)0x137adbb6, (q31_t)0xd205ac17,
+ (q31_t)0x1371d579, (q31_t)0xd20e6acc, (q31_t)0x1368d0f3, (q31_t)0xd2172b48,
+ (q31_t)0x135fce26, (q31_t)0xd21fed88, (q31_t)0x1356cd11, (q31_t)0xd228b18d,
+ (q31_t)0x134dcdb4, (q31_t)0xd2317756, (q31_t)0x1344d011, (q31_t)0xd23a3ee4,
+ (q31_t)0x133bd427, (q31_t)0xd2430835, (q31_t)0x1332d9f7, (q31_t)0xd24bd34a,
+ (q31_t)0x1329e181, (q31_t)0xd254a021, (q31_t)0x1320eac6, (q31_t)0xd25d6ebc,
+ (q31_t)0x1317f5c6, (q31_t)0xd2663f19, (q31_t)0x130f0280, (q31_t)0xd26f1138,
+ (q31_t)0x130610f7, (q31_t)0xd277e518, (q31_t)0x12fd2129, (q31_t)0xd280babb,
+ (q31_t)0x12f43318, (q31_t)0xd289921e, (q31_t)0x12eb46c3, (q31_t)0xd2926b41,
+ (q31_t)0x12e25c2b, (q31_t)0xd29b4626, (q31_t)0x12d97350, (q31_t)0xd2a422ca,
+ (q31_t)0x12d08c33, (q31_t)0xd2ad012e, (q31_t)0x12c7a6d4, (q31_t)0xd2b5e151,
+ (q31_t)0x12bec333, (q31_t)0xd2bec333, (q31_t)0x12b5e151, (q31_t)0xd2c7a6d4,
+ (q31_t)0x12ad012e, (q31_t)0xd2d08c33, (q31_t)0x12a422ca, (q31_t)0xd2d97350,
+ (q31_t)0x129b4626, (q31_t)0xd2e25c2b, (q31_t)0x12926b41, (q31_t)0xd2eb46c3,
+ (q31_t)0x1289921e, (q31_t)0xd2f43318, (q31_t)0x1280babb, (q31_t)0xd2fd2129,
+ (q31_t)0x1277e518, (q31_t)0xd30610f7, (q31_t)0x126f1138, (q31_t)0xd30f0280,
+ (q31_t)0x12663f19, (q31_t)0xd317f5c6, (q31_t)0x125d6ebc, (q31_t)0xd320eac6,
+ (q31_t)0x1254a021, (q31_t)0xd329e181, (q31_t)0x124bd34a, (q31_t)0xd332d9f7,
+ (q31_t)0x12430835, (q31_t)0xd33bd427, (q31_t)0x123a3ee4, (q31_t)0xd344d011,
+ (q31_t)0x12317756, (q31_t)0xd34dcdb4, (q31_t)0x1228b18d, (q31_t)0xd356cd11,
+ (q31_t)0x121fed88, (q31_t)0xd35fce26, (q31_t)0x12172b48, (q31_t)0xd368d0f3,
+ (q31_t)0x120e6acc, (q31_t)0xd371d579, (q31_t)0x1205ac17, (q31_t)0xd37adbb6,
+ (q31_t)0x11fcef27, (q31_t)0xd383e3ab, (q31_t)0x11f433fd, (q31_t)0xd38ced57,
+ (q31_t)0x11eb7a9a, (q31_t)0xd395f8ba, (q31_t)0x11e2c2fd, (q31_t)0xd39f05d3,
+ (q31_t)0x11da0d28, (q31_t)0xd3a814a2, (q31_t)0x11d1591a, (q31_t)0xd3b12526,
+ (q31_t)0x11c8a6d4, (q31_t)0xd3ba3760, (q31_t)0x11bff656, (q31_t)0xd3c34b4f,
+ (q31_t)0x11b747a0, (q31_t)0xd3cc60f2, (q31_t)0x11ae9ab4, (q31_t)0xd3d5784a,
+ (q31_t)0x11a5ef90, (q31_t)0xd3de9156, (q31_t)0x119d4636, (q31_t)0xd3e7ac15,
+ (q31_t)0x11949ea6, (q31_t)0xd3f0c887, (q31_t)0x118bf8e0, (q31_t)0xd3f9e6ad,
+ (q31_t)0x118354e4, (q31_t)0xd4030684, (q31_t)0x117ab2b3, (q31_t)0xd40c280e,
+ (q31_t)0x1172124d, (q31_t)0xd4154b4a, (q31_t)0x116973b3, (q31_t)0xd41e7037,
+ (q31_t)0x1160d6e5, (q31_t)0xd42796d5, (q31_t)0x11583be2, (q31_t)0xd430bf24,
+ (q31_t)0x114fa2ad, (q31_t)0xd439e923, (q31_t)0x11470b44, (q31_t)0xd44314d3,
+ (q31_t)0x113e75a8, (q31_t)0xd44c4232, (q31_t)0x1135e1d9, (q31_t)0xd4557140,
+ (q31_t)0x112d4fd9, (q31_t)0xd45ea1fd, (q31_t)0x1124bfa6, (q31_t)0xd467d469,
+ (q31_t)0x111c3142, (q31_t)0xd4710883, (q31_t)0x1113a4ad, (q31_t)0xd47a3e4b,
+ (q31_t)0x110b19e7, (q31_t)0xd48375c1, (q31_t)0x110290f0, (q31_t)0xd48caee4,
+ (q31_t)0x10fa09c9, (q31_t)0xd495e9b3, (q31_t)0x10f18472, (q31_t)0xd49f2630,
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+ (q31_t)0x10d7ff51, (q31_t)0xd4bae5ab, (q31_t)0x10cf813e, (q31_t)0xd4c428d6,
+ (q31_t)0x10c704fd, (q31_t)0xd4cd6dab, (q31_t)0x10be8a8d, (q31_t)0xd4d6b42b,
+ (q31_t)0x10b611f1, (q31_t)0xd4dffc54, (q31_t)0x10ad9b26, (q31_t)0xd4e94627,
+ (q31_t)0x10a5262f, (q31_t)0xd4f291a4, (q31_t)0x109cb30b, (q31_t)0xd4fbdec9,
+ (q31_t)0x109441bb, (q31_t)0xd5052d97, (q31_t)0x108bd23f, (q31_t)0xd50e7e0d,
+ (q31_t)0x10836497, (q31_t)0xd517d02b, (q31_t)0x107af8c4, (q31_t)0xd52123f0,
+ (q31_t)0x10728ec6, (q31_t)0xd52a795d, (q31_t)0x106a269d, (q31_t)0xd533d070,
+ (q31_t)0x1061c04a, (q31_t)0xd53d292a, (q31_t)0x10595bcd, (q31_t)0xd5468389,
+ (q31_t)0x1050f926, (q31_t)0xd54fdf8f, (q31_t)0x10489856, (q31_t)0xd5593d3a,
+ (q31_t)0x1040395d, (q31_t)0xd5629c89, (q31_t)0x1037dc3b, (q31_t)0xd56bfd7d,
+ (q31_t)0x102f80f1, (q31_t)0xd5756016, (q31_t)0x1027277e, (q31_t)0xd57ec452,
+ (q31_t)0x101ecfe4, (q31_t)0xd5882a32, (q31_t)0x10167a22, (q31_t)0xd59191b5,
+ (q31_t)0x100e2639, (q31_t)0xd59afadb, (q31_t)0x1005d42a, (q31_t)0xd5a465a3,
+ (q31_t)0xffd83f4, (q31_t)0xd5add20d, (q31_t)0xff53597, (q31_t)0xd5b74019,
+ (q31_t)0xfece915, (q31_t)0xd5c0afc6, (q31_t)0xfe49e6d, (q31_t)0xd5ca2115,
+ (q31_t)0xfdc55a1, (q31_t)0xd5d39403, (q31_t)0xfd40eaf, (q31_t)0xd5dd0892,
+ (q31_t)0xfcbc999, (q31_t)0xd5e67ec1, (q31_t)0xfc3865e, (q31_t)0xd5eff690,
+ (q31_t)0xfbb4500, (q31_t)0xd5f96ffd, (q31_t)0xfb3057d, (q31_t)0xd602eb0a,
+ (q31_t)0xfaac7d8, (q31_t)0xd60c67b4, (q31_t)0xfa28c10, (q31_t)0xd615e5fd,
+ (q31_t)0xf9a5225, (q31_t)0xd61f65e4, (q31_t)0xf921a17, (q31_t)0xd628e767,
+ (q31_t)0xf89e3e8, (q31_t)0xd6326a88, (q31_t)0xf81af97, (q31_t)0xd63bef46,
+ (q31_t)0xf797d24, (q31_t)0xd645759f, (q31_t)0xf714c91, (q31_t)0xd64efd94,
+ (q31_t)0xf691ddd, (q31_t)0xd6588725, (q31_t)0xf60f108, (q31_t)0xd6621251,
+ (q31_t)0xf58c613, (q31_t)0xd66b9f18, (q31_t)0xf509cfe, (q31_t)0xd6752d79,
+ (q31_t)0xf4875ca, (q31_t)0xd67ebd74, (q31_t)0xf405077, (q31_t)0xd6884f09,
+ (q31_t)0xf382d05, (q31_t)0xd691e237, (q31_t)0xf300b74, (q31_t)0xd69b76fe,
+ (q31_t)0xf27ebc5, (q31_t)0xd6a50d5d, (q31_t)0xf1fcdf8, (q31_t)0xd6aea555,
+ (q31_t)0xf17b20d, (q31_t)0xd6b83ee4, (q31_t)0xf0f9805, (q31_t)0xd6c1da0b,
+ (q31_t)0xf077fe1, (q31_t)0xd6cb76c9, (q31_t)0xeff699f, (q31_t)0xd6d5151d,
+ (q31_t)0xef75541, (q31_t)0xd6deb508, (q31_t)0xeef42c7, (q31_t)0xd6e85689,
+ (q31_t)0xee73231, (q31_t)0xd6f1f99f, (q31_t)0xedf2380, (q31_t)0xd6fb9e4b,
+ (q31_t)0xed716b4, (q31_t)0xd705448b, (q31_t)0xecf0bcd, (q31_t)0xd70eec60,
+ (q31_t)0xec702cb, (q31_t)0xd71895c9, (q31_t)0xebefbb0, (q31_t)0xd72240c5,
+ (q31_t)0xeb6f67a, (q31_t)0xd72bed55, (q31_t)0xeaef32b, (q31_t)0xd7359b78,
+ (q31_t)0xea6f1c2, (q31_t)0xd73f4b2e, (q31_t)0xe9ef241, (q31_t)0xd748fc75,
+ (q31_t)0xe96f4a7, (q31_t)0xd752af4f, (q31_t)0xe8ef8f4, (q31_t)0xd75c63ba,
+ (q31_t)0xe86ff2a, (q31_t)0xd76619b6, (q31_t)0xe7f0748, (q31_t)0xd76fd143,
+ (q31_t)0xe77114e, (q31_t)0xd7798a60, (q31_t)0xe6f1d3d, (q31_t)0xd783450d,
+ (q31_t)0xe672b16, (q31_t)0xd78d014a, (q31_t)0xe5f3ad8, (q31_t)0xd796bf16,
+ (q31_t)0xe574c84, (q31_t)0xd7a07e70, (q31_t)0xe4f6019, (q31_t)0xd7aa3f5a,
+ (q31_t)0xe47759a, (q31_t)0xd7b401d1, (q31_t)0xe3f8d05, (q31_t)0xd7bdc5d6,
+ (q31_t)0xe37a65b, (q31_t)0xd7c78b68, (q31_t)0xe2fc19c, (q31_t)0xd7d15288,
+ (q31_t)0xe27dec9, (q31_t)0xd7db1b34, (q31_t)0xe1ffde2, (q31_t)0xd7e4e56c,
+ (q31_t)0xe181ee8, (q31_t)0xd7eeb130, (q31_t)0xe1041d9, (q31_t)0xd7f87e7f,
+ (q31_t)0xe0866b8, (q31_t)0xd8024d59, (q31_t)0xe008d84, (q31_t)0xd80c1dbf,
+ (q31_t)0xdf8b63d, (q31_t)0xd815efae, (q31_t)0xdf0e0e4, (q31_t)0xd81fc328,
+ (q31_t)0xde90d79, (q31_t)0xd829982b, (q31_t)0xde13bfd, (q31_t)0xd8336eb7,
+ (q31_t)0xdd96c6f, (q31_t)0xd83d46cc, (q31_t)0xdd19ed0, (q31_t)0xd8472069,
+ (q31_t)0xdc9d320, (q31_t)0xd850fb8e, (q31_t)0xdc20960, (q31_t)0xd85ad83c,
+ (q31_t)0xdba4190, (q31_t)0xd864b670, (q31_t)0xdb27bb0, (q31_t)0xd86e962b,
+ (q31_t)0xdaab7c0, (q31_t)0xd878776d, (q31_t)0xda2f5c2, (q31_t)0xd8825a35,
+ (q31_t)0xd9b35b4, (q31_t)0xd88c3e83, (q31_t)0xd937798, (q31_t)0xd8962456,
+ (q31_t)0xd8bbb6d, (q31_t)0xd8a00bae, (q31_t)0xd840134, (q31_t)0xd8a9f48a,
+ (q31_t)0xd7c48ee, (q31_t)0xd8b3deeb, (q31_t)0xd74929a, (q31_t)0xd8bdcad0,
+ (q31_t)0xd6cde39, (q31_t)0xd8c7b838, (q31_t)0xd652bcb, (q31_t)0xd8d1a724,
+ (q31_t)0xd5d7b50, (q31_t)0xd8db9792, (q31_t)0xd55ccca, (q31_t)0xd8e58982,
+ (q31_t)0xd4e2037, (q31_t)0xd8ef7cf4, (q31_t)0xd467599, (q31_t)0xd8f971e8,
+ (q31_t)0xd3eccef, (q31_t)0xd903685d, (q31_t)0xd37263a, (q31_t)0xd90d6053,
+ (q31_t)0xd2f817b, (q31_t)0xd91759c9, (q31_t)0xd27deb0, (q31_t)0xd92154bf,
+ (q31_t)0xd203ddc, (q31_t)0xd92b5135, (q31_t)0xd189efe, (q31_t)0xd9354f2a,
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+ (q31_t)0xd01ce2b, (q31_t)0xd9535201, (q31_t)0xcfa3729, (q31_t)0xd95d55ef,
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+ (q31_t)0x3c457f21, (q31_t)0x3fe42c2a, (q31_t)0x3c520aba, (q31_t)0x3fe4e659,
+ (q31_t)0x3c5e9678, (q31_t)0x3fe59e12, (q31_t)0x3c6b2259, (q31_t)0x3fe65354,
+ (q31_t)0x3c77ae5e, (q31_t)0x3fe7061f, (q31_t)0x3c843a85, (q31_t)0x3fe7b674,
+ (q31_t)0x3c90c6cf, (q31_t)0x3fe86452, (q31_t)0x3c9d533b, (q31_t)0x3fe90fb9,
+ (q31_t)0x3ca9dfc8, (q31_t)0x3fe9b8a9, (q31_t)0x3cb66c77, (q31_t)0x3fea5f23,
+ (q31_t)0x3cc2f945, (q31_t)0x3feb0326, (q31_t)0x3ccf8634, (q31_t)0x3feba4b2,
+ (q31_t)0x3cdc1342, (q31_t)0x3fec43c7, (q31_t)0x3ce8a06f, (q31_t)0x3fece065,
+ (q31_t)0x3cf52dbb, (q31_t)0x3fed7a8c, (q31_t)0x3d01bb24, (q31_t)0x3fee123d,
+ (q31_t)0x3d0e48ab, (q31_t)0x3feea776, (q31_t)0x3d1ad650, (q31_t)0x3fef3a39,
+ (q31_t)0x3d276410, (q31_t)0x3fefca84, (q31_t)0x3d33f1ed, (q31_t)0x3ff05858,
+ (q31_t)0x3d407fe6, (q31_t)0x3ff0e3b6, (q31_t)0x3d4d0df9, (q31_t)0x3ff16c9c,
+ (q31_t)0x3d599c28, (q31_t)0x3ff1f30b, (q31_t)0x3d662a70, (q31_t)0x3ff27703,
+ (q31_t)0x3d72b8d2, (q31_t)0x3ff2f884, (q31_t)0x3d7f474d, (q31_t)0x3ff3778e,
+ (q31_t)0x3d8bd5e1, (q31_t)0x3ff3f420, (q31_t)0x3d98648d, (q31_t)0x3ff46e3c,
+ (q31_t)0x3da4f351, (q31_t)0x3ff4e5e0, (q31_t)0x3db1822c, (q31_t)0x3ff55b0d,
+ (q31_t)0x3dbe111e, (q31_t)0x3ff5cdc3, (q31_t)0x3dcaa027, (q31_t)0x3ff63e01,
+ (q31_t)0x3dd72f45, (q31_t)0x3ff6abc8, (q31_t)0x3de3be78, (q31_t)0x3ff71718,
+ (q31_t)0x3df04dc0, (q31_t)0x3ff77ff1, (q31_t)0x3dfcdd1d, (q31_t)0x3ff7e652,
+ (q31_t)0x3e096c8d, (q31_t)0x3ff84a3c, (q31_t)0x3e15fc11, (q31_t)0x3ff8abae,
+ (q31_t)0x3e228ba7, (q31_t)0x3ff90aaa, (q31_t)0x3e2f1b50, (q31_t)0x3ff9672d,
+ (q31_t)0x3e3bab0b, (q31_t)0x3ff9c13a, (q31_t)0x3e483ad8, (q31_t)0x3ffa18cf,
+ (q31_t)0x3e54cab5, (q31_t)0x3ffa6dec, (q31_t)0x3e615aa3, (q31_t)0x3ffac092,
+ (q31_t)0x3e6deaa1, (q31_t)0x3ffb10c1, (q31_t)0x3e7a7aae, (q31_t)0x3ffb5e78,
+ (q31_t)0x3e870aca, (q31_t)0x3ffba9b8, (q31_t)0x3e939af5, (q31_t)0x3ffbf280,
+ (q31_t)0x3ea02b2e, (q31_t)0x3ffc38d1, (q31_t)0x3eacbb74, (q31_t)0x3ffc7caa,
+ (q31_t)0x3eb94bc8, (q31_t)0x3ffcbe0c, (q31_t)0x3ec5dc28, (q31_t)0x3ffcfcf6,
+ (q31_t)0x3ed26c94, (q31_t)0x3ffd3969, (q31_t)0x3edefd0c, (q31_t)0x3ffd7364,
+ (q31_t)0x3eeb8d8f, (q31_t)0x3ffdaae7, (q31_t)0x3ef81e1d, (q31_t)0x3ffddff3,
+ (q31_t)0x3f04aeb5, (q31_t)0x3ffe1288, (q31_t)0x3f113f56, (q31_t)0x3ffe42a4,
+ (q31_t)0x3f1dd001, (q31_t)0x3ffe704a, (q31_t)0x3f2a60b4, (q31_t)0x3ffe9b77,
+ (q31_t)0x3f36f170, (q31_t)0x3ffec42d, (q31_t)0x3f438234, (q31_t)0x3ffeea6c,
+ (q31_t)0x3f5012fe, (q31_t)0x3fff0e32, (q31_t)0x3f5ca3d0, (q31_t)0x3fff2f82,
+ (q31_t)0x3f6934a8, (q31_t)0x3fff4e59, (q31_t)0x3f75c585, (q31_t)0x3fff6ab9,
+ (q31_t)0x3f825668, (q31_t)0x3fff84a1, (q31_t)0x3f8ee750, (q31_t)0x3fff9c12,
+ (q31_t)0x3f9b783c, (q31_t)0x3fffb10b, (q31_t)0x3fa8092c, (q31_t)0x3fffc38c,
+ (q31_t)0x3fb49a1f, (q31_t)0x3fffd396, (q31_t)0x3fc12b16, (q31_t)0x3fffe128,
+ (q31_t)0x3fcdbc0f, (q31_t)0x3fffec43, (q31_t)0x3fda4d09, (q31_t)0x3ffff4e6,
+ (q31_t)0x3fe6de05, (q31_t)0x3ffffb11, (q31_t)0x3ff36f02, (q31_t)0x3ffffec4,
+};
+
+
+/**
+ @par
+ Generation of realCoefBQ31 array:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+ pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q31 format
+ round(pBTable[i] * pow(2, 31))
+ */
+
+const q31_t realCoefBQ31[8192] = {
+ (q31_t)0x40000000, (q31_t)0x40000000, (q31_t)0x400c90fe, (q31_t)0x3ffffec4,
+ (q31_t)0x401921fb, (q31_t)0x3ffffb11, (q31_t)0x4025b2f7, (q31_t)0x3ffff4e6,
+ (q31_t)0x403243f1, (q31_t)0x3fffec43, (q31_t)0x403ed4ea, (q31_t)0x3fffe128,
+ (q31_t)0x404b65e1, (q31_t)0x3fffd396, (q31_t)0x4057f6d4, (q31_t)0x3fffc38c,
+ (q31_t)0x406487c4, (q31_t)0x3fffb10b, (q31_t)0x407118b0, (q31_t)0x3fff9c12,
+ (q31_t)0x407da998, (q31_t)0x3fff84a1, (q31_t)0x408a3a7b, (q31_t)0x3fff6ab9,
+ (q31_t)0x4096cb58, (q31_t)0x3fff4e59, (q31_t)0x40a35c30, (q31_t)0x3fff2f82,
+ (q31_t)0x40afed02, (q31_t)0x3fff0e32, (q31_t)0x40bc7dcc, (q31_t)0x3ffeea6c,
+ (q31_t)0x40c90e90, (q31_t)0x3ffec42d, (q31_t)0x40d59f4c, (q31_t)0x3ffe9b77,
+ (q31_t)0x40e22fff, (q31_t)0x3ffe704a, (q31_t)0x40eec0aa, (q31_t)0x3ffe42a4,
+ (q31_t)0x40fb514b, (q31_t)0x3ffe1288, (q31_t)0x4107e1e3, (q31_t)0x3ffddff3,
+ (q31_t)0x41147271, (q31_t)0x3ffdaae7, (q31_t)0x412102f4, (q31_t)0x3ffd7364,
+ (q31_t)0x412d936c, (q31_t)0x3ffd3969, (q31_t)0x413a23d8, (q31_t)0x3ffcfcf6,
+ (q31_t)0x4146b438, (q31_t)0x3ffcbe0c, (q31_t)0x4153448c, (q31_t)0x3ffc7caa,
+ (q31_t)0x415fd4d2, (q31_t)0x3ffc38d1, (q31_t)0x416c650b, (q31_t)0x3ffbf280,
+ (q31_t)0x4178f536, (q31_t)0x3ffba9b8, (q31_t)0x41858552, (q31_t)0x3ffb5e78,
+ (q31_t)0x4192155f, (q31_t)0x3ffb10c1, (q31_t)0x419ea55d, (q31_t)0x3ffac092,
+ (q31_t)0x41ab354b, (q31_t)0x3ffa6dec, (q31_t)0x41b7c528, (q31_t)0x3ffa18cf,
+ (q31_t)0x41c454f5, (q31_t)0x3ff9c13a, (q31_t)0x41d0e4b0, (q31_t)0x3ff9672d,
+ (q31_t)0x41dd7459, (q31_t)0x3ff90aaa, (q31_t)0x41ea03ef, (q31_t)0x3ff8abae,
+ (q31_t)0x41f69373, (q31_t)0x3ff84a3c, (q31_t)0x420322e3, (q31_t)0x3ff7e652,
+ (q31_t)0x420fb240, (q31_t)0x3ff77ff1, (q31_t)0x421c4188, (q31_t)0x3ff71718,
+ (q31_t)0x4228d0bb, (q31_t)0x3ff6abc8, (q31_t)0x42355fd9, (q31_t)0x3ff63e01,
+ (q31_t)0x4241eee2, (q31_t)0x3ff5cdc3, (q31_t)0x424e7dd4, (q31_t)0x3ff55b0d,
+ (q31_t)0x425b0caf, (q31_t)0x3ff4e5e0, (q31_t)0x42679b73, (q31_t)0x3ff46e3c,
+ (q31_t)0x42742a1f, (q31_t)0x3ff3f420, (q31_t)0x4280b8b3, (q31_t)0x3ff3778e,
+ (q31_t)0x428d472e, (q31_t)0x3ff2f884, (q31_t)0x4299d590, (q31_t)0x3ff27703,
+ (q31_t)0x42a663d8, (q31_t)0x3ff1f30b, (q31_t)0x42b2f207, (q31_t)0x3ff16c9c,
+ (q31_t)0x42bf801a, (q31_t)0x3ff0e3b6, (q31_t)0x42cc0e13, (q31_t)0x3ff05858,
+ (q31_t)0x42d89bf0, (q31_t)0x3fefca84, (q31_t)0x42e529b0, (q31_t)0x3fef3a39,
+ (q31_t)0x42f1b755, (q31_t)0x3feea776, (q31_t)0x42fe44dc, (q31_t)0x3fee123d,
+ (q31_t)0x430ad245, (q31_t)0x3fed7a8c, (q31_t)0x43175f91, (q31_t)0x3fece065,
+ (q31_t)0x4323ecbe, (q31_t)0x3fec43c7, (q31_t)0x433079cc, (q31_t)0x3feba4b2,
+ (q31_t)0x433d06bb, (q31_t)0x3feb0326, (q31_t)0x43499389, (q31_t)0x3fea5f23,
+ (q31_t)0x43562038, (q31_t)0x3fe9b8a9, (q31_t)0x4362acc5, (q31_t)0x3fe90fb9,
+ (q31_t)0x436f3931, (q31_t)0x3fe86452, (q31_t)0x437bc57b, (q31_t)0x3fe7b674,
+ (q31_t)0x438851a2, (q31_t)0x3fe7061f, (q31_t)0x4394dda7, (q31_t)0x3fe65354,
+ (q31_t)0x43a16988, (q31_t)0x3fe59e12, (q31_t)0x43adf546, (q31_t)0x3fe4e659,
+ (q31_t)0x43ba80df, (q31_t)0x3fe42c2a, (q31_t)0x43c70c54, (q31_t)0x3fe36f84,
+ (q31_t)0x43d397a3, (q31_t)0x3fe2b067, (q31_t)0x43e022cc, (q31_t)0x3fe1eed5,
+ (q31_t)0x43ecadcf, (q31_t)0x3fe12acb, (q31_t)0x43f938ac, (q31_t)0x3fe0644b,
+ (q31_t)0x4405c361, (q31_t)0x3fdf9b55, (q31_t)0x44124dee, (q31_t)0x3fdecfe8,
+ (q31_t)0x441ed854, (q31_t)0x3fde0205, (q31_t)0x442b6290, (q31_t)0x3fdd31ac,
+ (q31_t)0x4437eca4, (q31_t)0x3fdc5edc, (q31_t)0x4444768d, (q31_t)0x3fdb8996,
+ (q31_t)0x4451004d, (q31_t)0x3fdab1d9, (q31_t)0x445d89e2, (q31_t)0x3fd9d7a7,
+ (q31_t)0x446a134c, (q31_t)0x3fd8fafe, (q31_t)0x44769c8b, (q31_t)0x3fd81bdf,
+ (q31_t)0x4483259d, (q31_t)0x3fd73a4a, (q31_t)0x448fae83, (q31_t)0x3fd6563f,
+ (q31_t)0x449c373c, (q31_t)0x3fd56fbe, (q31_t)0x44a8bfc7, (q31_t)0x3fd486c7,
+ (q31_t)0x44b54825, (q31_t)0x3fd39b5a, (q31_t)0x44c1d054, (q31_t)0x3fd2ad77,
+ (q31_t)0x44ce5854, (q31_t)0x3fd1bd1e, (q31_t)0x44dae024, (q31_t)0x3fd0ca4f,
+ (q31_t)0x44e767c5, (q31_t)0x3fcfd50b, (q31_t)0x44f3ef35, (q31_t)0x3fcedd50,
+ (q31_t)0x45007674, (q31_t)0x3fcde320, (q31_t)0x450cfd82, (q31_t)0x3fcce67a,
+ (q31_t)0x4519845e, (q31_t)0x3fcbe75e, (q31_t)0x45260b08, (q31_t)0x3fcae5cd,
+ (q31_t)0x4532917f, (q31_t)0x3fc9e1c6, (q31_t)0x453f17c3, (q31_t)0x3fc8db4a,
+ (q31_t)0x454b9dd3, (q31_t)0x3fc7d258, (q31_t)0x455823ae, (q31_t)0x3fc6c6f0,
+ (q31_t)0x4564a955, (q31_t)0x3fc5b913, (q31_t)0x45712ec7, (q31_t)0x3fc4a8c1,
+ (q31_t)0x457db403, (q31_t)0x3fc395f9, (q31_t)0x458a3908, (q31_t)0x3fc280bc,
+ (q31_t)0x4596bdd7, (q31_t)0x3fc1690a, (q31_t)0x45a3426f, (q31_t)0x3fc04ee3,
+ (q31_t)0x45afc6d0, (q31_t)0x3fbf3246, (q31_t)0x45bc4af8, (q31_t)0x3fbe1334,
+ (q31_t)0x45c8cee7, (q31_t)0x3fbcf1ad, (q31_t)0x45d5529e, (q31_t)0x3fbbcdb1,
+ (q31_t)0x45e1d61b, (q31_t)0x3fbaa740, (q31_t)0x45ee595d, (q31_t)0x3fb97e5a,
+ (q31_t)0x45fadc66, (q31_t)0x3fb852ff, (q31_t)0x46075f33, (q31_t)0x3fb7252f,
+ (q31_t)0x4613e1c5, (q31_t)0x3fb5f4ea, (q31_t)0x4620641a, (q31_t)0x3fb4c231,
+ (q31_t)0x462ce634, (q31_t)0x3fb38d02, (q31_t)0x46396810, (q31_t)0x3fb2555f,
+ (q31_t)0x4645e9af, (q31_t)0x3fb11b48, (q31_t)0x46526b10, (q31_t)0x3fafdebb,
+ (q31_t)0x465eec33, (q31_t)0x3fae9fbb, (q31_t)0x466b6d16, (q31_t)0x3fad5e45,
+ (q31_t)0x4677edbb, (q31_t)0x3fac1a5b, (q31_t)0x46846e1f, (q31_t)0x3faad3fd,
+ (q31_t)0x4690ee44, (q31_t)0x3fa98b2a, (q31_t)0x469d6e27, (q31_t)0x3fa83fe3,
+ (q31_t)0x46a9edc9, (q31_t)0x3fa6f228, (q31_t)0x46b66d29, (q31_t)0x3fa5a1f9,
+ (q31_t)0x46c2ec48, (q31_t)0x3fa44f55, (q31_t)0x46cf6b23, (q31_t)0x3fa2fa3d,
+ (q31_t)0x46dbe9bb, (q31_t)0x3fa1a2b2, (q31_t)0x46e86810, (q31_t)0x3fa048b2,
+ (q31_t)0x46f4e620, (q31_t)0x3f9eec3e, (q31_t)0x470163eb, (q31_t)0x3f9d8d56,
+ (q31_t)0x470de172, (q31_t)0x3f9c2bfb, (q31_t)0x471a5eb3, (q31_t)0x3f9ac82c,
+ (q31_t)0x4726dbae, (q31_t)0x3f9961e8, (q31_t)0x47335862, (q31_t)0x3f97f932,
+ (q31_t)0x473fd4cf, (q31_t)0x3f968e07, (q31_t)0x474c50f4, (q31_t)0x3f952069,
+ (q31_t)0x4758ccd2, (q31_t)0x3f93b058, (q31_t)0x47654867, (q31_t)0x3f923dd2,
+ (q31_t)0x4771c3b3, (q31_t)0x3f90c8da, (q31_t)0x477e3eb5, (q31_t)0x3f8f516e,
+ (q31_t)0x478ab96e, (q31_t)0x3f8dd78f, (q31_t)0x479733dc, (q31_t)0x3f8c5b3d,
+ (q31_t)0x47a3adff, (q31_t)0x3f8adc77, (q31_t)0x47b027d7, (q31_t)0x3f895b3e,
+ (q31_t)0x47bca163, (q31_t)0x3f87d792, (q31_t)0x47c91aa3, (q31_t)0x3f865174,
+ (q31_t)0x47d59396, (q31_t)0x3f84c8e2, (q31_t)0x47e20c3b, (q31_t)0x3f833ddd,
+ (q31_t)0x47ee8493, (q31_t)0x3f81b065, (q31_t)0x47fafc9c, (q31_t)0x3f80207b,
+ (q31_t)0x48077457, (q31_t)0x3f7e8e1e, (q31_t)0x4813ebc2, (q31_t)0x3f7cf94e,
+ (q31_t)0x482062de, (q31_t)0x3f7b620c, (q31_t)0x482cd9a9, (q31_t)0x3f79c857,
+ (q31_t)0x48395024, (q31_t)0x3f782c30, (q31_t)0x4845c64d, (q31_t)0x3f768d96,
+ (q31_t)0x48523c25, (q31_t)0x3f74ec8a, (q31_t)0x485eb1ab, (q31_t)0x3f73490b,
+ (q31_t)0x486b26de, (q31_t)0x3f71a31b, (q31_t)0x48779bbe, (q31_t)0x3f6ffab8,
+ (q31_t)0x4884104b, (q31_t)0x3f6e4fe3, (q31_t)0x48908483, (q31_t)0x3f6ca29c,
+ (q31_t)0x489cf867, (q31_t)0x3f6af2e3, (q31_t)0x48a96bf6, (q31_t)0x3f6940b8,
+ (q31_t)0x48b5df30, (q31_t)0x3f678c1c, (q31_t)0x48c25213, (q31_t)0x3f65d50d,
+ (q31_t)0x48cec4a0, (q31_t)0x3f641b8d, (q31_t)0x48db36d6, (q31_t)0x3f625f9b,
+ (q31_t)0x48e7a8b5, (q31_t)0x3f60a138, (q31_t)0x48f41a3c, (q31_t)0x3f5ee063,
+ (q31_t)0x49008b6a, (q31_t)0x3f5d1d1d, (q31_t)0x490cfc40, (q31_t)0x3f5b5765,
+ (q31_t)0x49196cbc, (q31_t)0x3f598f3c, (q31_t)0x4925dcdf, (q31_t)0x3f57c4a2,
+ (q31_t)0x49324ca7, (q31_t)0x3f55f796, (q31_t)0x493ebc14, (q31_t)0x3f54281a,
+ (q31_t)0x494b2b27, (q31_t)0x3f52562c, (q31_t)0x495799dd, (q31_t)0x3f5081cd,
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+ (q31_t)0x7f13110f, (q31_t)0xad84609, (q31_t)0x7f1530f7, (q31_t)0xacbe35b,
+ (q31_t)0x7f174e70, (q31_t)0xabf8043, (q31_t)0x7f19697a, (q31_t)0xab31cc1,
+ (q31_t)0x7f1b8215, (q31_t)0xaa6b8d5, (q31_t)0x7f1d9842, (q31_t)0xa9a5480,
+ (q31_t)0x7f1fabff, (q31_t)0xa8defc3, (q31_t)0x7f21bd4e, (q31_t)0xa818a9d,
+ (q31_t)0x7f23cc2e, (q31_t)0xa752510, (q31_t)0x7f25d89e, (q31_t)0xa68bf1b,
+ (q31_t)0x7f27e29f, (q31_t)0xa5c58c0, (q31_t)0x7f29ea31, (q31_t)0xa4ff1fe,
+ (q31_t)0x7f2bef53, (q31_t)0xa438ad7, (q31_t)0x7f2df206, (q31_t)0xa37234a,
+ (q31_t)0x7f2ff24a, (q31_t)0xa2abb59, (q31_t)0x7f31f01d, (q31_t)0xa1e5303,
+ (q31_t)0x7f33eb81, (q31_t)0xa11ea49, (q31_t)0x7f35e476, (q31_t)0xa05812c,
+ (q31_t)0x7f37dafa, (q31_t)0x9f917ac, (q31_t)0x7f39cf0e, (q31_t)0x9ecadc9,
+ (q31_t)0x7f3bc0b3, (q31_t)0x9e04385, (q31_t)0x7f3dafe7, (q31_t)0x9d3d8df,
+ (q31_t)0x7f3f9cab, (q31_t)0x9c76dd8, (q31_t)0x7f4186ff, (q31_t)0x9bb0271,
+ (q31_t)0x7f436ee3, (q31_t)0x9ae96aa, (q31_t)0x7f455456, (q31_t)0x9a22a83,
+ (q31_t)0x7f473759, (q31_t)0x995bdfd, (q31_t)0x7f4917eb, (q31_t)0x9895118,
+ (q31_t)0x7f4af60d, (q31_t)0x97ce3d5, (q31_t)0x7f4cd1be, (q31_t)0x9707635,
+ (q31_t)0x7f4eaafe, (q31_t)0x9640837, (q31_t)0x7f5081cd, (q31_t)0x95799dd,
+ (q31_t)0x7f52562c, (q31_t)0x94b2b27, (q31_t)0x7f54281a, (q31_t)0x93ebc14,
+ (q31_t)0x7f55f796, (q31_t)0x9324ca7, (q31_t)0x7f57c4a2, (q31_t)0x925dcdf,
+ (q31_t)0x7f598f3c, (q31_t)0x9196cbc, (q31_t)0x7f5b5765, (q31_t)0x90cfc40,
+ (q31_t)0x7f5d1d1d, (q31_t)0x9008b6a, (q31_t)0x7f5ee063, (q31_t)0x8f41a3c,
+ (q31_t)0x7f60a138, (q31_t)0x8e7a8b5, (q31_t)0x7f625f9b, (q31_t)0x8db36d6,
+ (q31_t)0x7f641b8d, (q31_t)0x8cec4a0, (q31_t)0x7f65d50d, (q31_t)0x8c25213,
+ (q31_t)0x7f678c1c, (q31_t)0x8b5df30, (q31_t)0x7f6940b8, (q31_t)0x8a96bf6,
+ (q31_t)0x7f6af2e3, (q31_t)0x89cf867, (q31_t)0x7f6ca29c, (q31_t)0x8908483,
+ (q31_t)0x7f6e4fe3, (q31_t)0x884104b, (q31_t)0x7f6ffab8, (q31_t)0x8779bbe,
+ (q31_t)0x7f71a31b, (q31_t)0x86b26de, (q31_t)0x7f73490b, (q31_t)0x85eb1ab,
+ (q31_t)0x7f74ec8a, (q31_t)0x8523c25, (q31_t)0x7f768d96, (q31_t)0x845c64d,
+ (q31_t)0x7f782c30, (q31_t)0x8395024, (q31_t)0x7f79c857, (q31_t)0x82cd9a9,
+ (q31_t)0x7f7b620c, (q31_t)0x82062de, (q31_t)0x7f7cf94e, (q31_t)0x813ebc2,
+ (q31_t)0x7f7e8e1e, (q31_t)0x8077457, (q31_t)0x7f80207b, (q31_t)0x7fafc9c,
+ (q31_t)0x7f81b065, (q31_t)0x7ee8493, (q31_t)0x7f833ddd, (q31_t)0x7e20c3b,
+ (q31_t)0x7f84c8e2, (q31_t)0x7d59396, (q31_t)0x7f865174, (q31_t)0x7c91aa3,
+ (q31_t)0x7f87d792, (q31_t)0x7bca163, (q31_t)0x7f895b3e, (q31_t)0x7b027d7,
+ (q31_t)0x7f8adc77, (q31_t)0x7a3adff, (q31_t)0x7f8c5b3d, (q31_t)0x79733dc,
+ (q31_t)0x7f8dd78f, (q31_t)0x78ab96e, (q31_t)0x7f8f516e, (q31_t)0x77e3eb5,
+ (q31_t)0x7f90c8da, (q31_t)0x771c3b3, (q31_t)0x7f923dd2, (q31_t)0x7654867,
+ (q31_t)0x7f93b058, (q31_t)0x758ccd2, (q31_t)0x7f952069, (q31_t)0x74c50f4,
+ (q31_t)0x7f968e07, (q31_t)0x73fd4cf, (q31_t)0x7f97f932, (q31_t)0x7335862,
+ (q31_t)0x7f9961e8, (q31_t)0x726dbae, (q31_t)0x7f9ac82c, (q31_t)0x71a5eb3,
+ (q31_t)0x7f9c2bfb, (q31_t)0x70de172, (q31_t)0x7f9d8d56, (q31_t)0x70163eb,
+ (q31_t)0x7f9eec3e, (q31_t)0x6f4e620, (q31_t)0x7fa048b2, (q31_t)0x6e86810,
+ (q31_t)0x7fa1a2b2, (q31_t)0x6dbe9bb, (q31_t)0x7fa2fa3d, (q31_t)0x6cf6b23,
+ (q31_t)0x7fa44f55, (q31_t)0x6c2ec48, (q31_t)0x7fa5a1f9, (q31_t)0x6b66d29,
+ (q31_t)0x7fa6f228, (q31_t)0x6a9edc9, (q31_t)0x7fa83fe3, (q31_t)0x69d6e27,
+ (q31_t)0x7fa98b2a, (q31_t)0x690ee44, (q31_t)0x7faad3fd, (q31_t)0x6846e1f,
+ (q31_t)0x7fac1a5b, (q31_t)0x677edbb, (q31_t)0x7fad5e45, (q31_t)0x66b6d16,
+ (q31_t)0x7fae9fbb, (q31_t)0x65eec33, (q31_t)0x7fafdebb, (q31_t)0x6526b10,
+ (q31_t)0x7fb11b48, (q31_t)0x645e9af, (q31_t)0x7fb2555f, (q31_t)0x6396810,
+ (q31_t)0x7fb38d02, (q31_t)0x62ce634, (q31_t)0x7fb4c231, (q31_t)0x620641a,
+ (q31_t)0x7fb5f4ea, (q31_t)0x613e1c5, (q31_t)0x7fb7252f, (q31_t)0x6075f33,
+ (q31_t)0x7fb852ff, (q31_t)0x5fadc66, (q31_t)0x7fb97e5a, (q31_t)0x5ee595d,
+ (q31_t)0x7fbaa740, (q31_t)0x5e1d61b, (q31_t)0x7fbbcdb1, (q31_t)0x5d5529e,
+ (q31_t)0x7fbcf1ad, (q31_t)0x5c8cee7, (q31_t)0x7fbe1334, (q31_t)0x5bc4af8,
+ (q31_t)0x7fbf3246, (q31_t)0x5afc6d0, (q31_t)0x7fc04ee3, (q31_t)0x5a3426f,
+ (q31_t)0x7fc1690a, (q31_t)0x596bdd7, (q31_t)0x7fc280bc, (q31_t)0x58a3908,
+ (q31_t)0x7fc395f9, (q31_t)0x57db403, (q31_t)0x7fc4a8c1, (q31_t)0x5712ec7,
+ (q31_t)0x7fc5b913, (q31_t)0x564a955, (q31_t)0x7fc6c6f0, (q31_t)0x55823ae,
+ (q31_t)0x7fc7d258, (q31_t)0x54b9dd3, (q31_t)0x7fc8db4a, (q31_t)0x53f17c3,
+ (q31_t)0x7fc9e1c6, (q31_t)0x532917f, (q31_t)0x7fcae5cd, (q31_t)0x5260b08,
+ (q31_t)0x7fcbe75e, (q31_t)0x519845e, (q31_t)0x7fcce67a, (q31_t)0x50cfd82,
+ (q31_t)0x7fcde320, (q31_t)0x5007674, (q31_t)0x7fcedd50, (q31_t)0x4f3ef35,
+ (q31_t)0x7fcfd50b, (q31_t)0x4e767c5, (q31_t)0x7fd0ca4f, (q31_t)0x4dae024,
+ (q31_t)0x7fd1bd1e, (q31_t)0x4ce5854, (q31_t)0x7fd2ad77, (q31_t)0x4c1d054,
+ (q31_t)0x7fd39b5a, (q31_t)0x4b54825, (q31_t)0x7fd486c7, (q31_t)0x4a8bfc7,
+ (q31_t)0x7fd56fbe, (q31_t)0x49c373c, (q31_t)0x7fd6563f, (q31_t)0x48fae83,
+ (q31_t)0x7fd73a4a, (q31_t)0x483259d, (q31_t)0x7fd81bdf, (q31_t)0x4769c8b,
+ (q31_t)0x7fd8fafe, (q31_t)0x46a134c, (q31_t)0x7fd9d7a7, (q31_t)0x45d89e2,
+ (q31_t)0x7fdab1d9, (q31_t)0x451004d, (q31_t)0x7fdb8996, (q31_t)0x444768d,
+ (q31_t)0x7fdc5edc, (q31_t)0x437eca4, (q31_t)0x7fdd31ac, (q31_t)0x42b6290,
+ (q31_t)0x7fde0205, (q31_t)0x41ed854, (q31_t)0x7fdecfe8, (q31_t)0x4124dee,
+ (q31_t)0x7fdf9b55, (q31_t)0x405c361, (q31_t)0x7fe0644b, (q31_t)0x3f938ac,
+ (q31_t)0x7fe12acb, (q31_t)0x3ecadcf, (q31_t)0x7fe1eed5, (q31_t)0x3e022cc,
+ (q31_t)0x7fe2b067, (q31_t)0x3d397a3, (q31_t)0x7fe36f84, (q31_t)0x3c70c54,
+ (q31_t)0x7fe42c2a, (q31_t)0x3ba80df, (q31_t)0x7fe4e659, (q31_t)0x3adf546,
+ (q31_t)0x7fe59e12, (q31_t)0x3a16988, (q31_t)0x7fe65354, (q31_t)0x394dda7,
+ (q31_t)0x7fe7061f, (q31_t)0x38851a2, (q31_t)0x7fe7b674, (q31_t)0x37bc57b,
+ (q31_t)0x7fe86452, (q31_t)0x36f3931, (q31_t)0x7fe90fb9, (q31_t)0x362acc5,
+ (q31_t)0x7fe9b8a9, (q31_t)0x3562038, (q31_t)0x7fea5f23, (q31_t)0x3499389,
+ (q31_t)0x7feb0326, (q31_t)0x33d06bb, (q31_t)0x7feba4b2, (q31_t)0x33079cc,
+ (q31_t)0x7fec43c7, (q31_t)0x323ecbe, (q31_t)0x7fece065, (q31_t)0x3175f91,
+ (q31_t)0x7fed7a8c, (q31_t)0x30ad245, (q31_t)0x7fee123d, (q31_t)0x2fe44dc,
+ (q31_t)0x7feea776, (q31_t)0x2f1b755, (q31_t)0x7fef3a39, (q31_t)0x2e529b0,
+ (q31_t)0x7fefca84, (q31_t)0x2d89bf0, (q31_t)0x7ff05858, (q31_t)0x2cc0e13,
+ (q31_t)0x7ff0e3b6, (q31_t)0x2bf801a, (q31_t)0x7ff16c9c, (q31_t)0x2b2f207,
+ (q31_t)0x7ff1f30b, (q31_t)0x2a663d8, (q31_t)0x7ff27703, (q31_t)0x299d590,
+ (q31_t)0x7ff2f884, (q31_t)0x28d472e, (q31_t)0x7ff3778e, (q31_t)0x280b8b3,
+ (q31_t)0x7ff3f420, (q31_t)0x2742a1f, (q31_t)0x7ff46e3c, (q31_t)0x2679b73,
+ (q31_t)0x7ff4e5e0, (q31_t)0x25b0caf, (q31_t)0x7ff55b0d, (q31_t)0x24e7dd4,
+ (q31_t)0x7ff5cdc3, (q31_t)0x241eee2, (q31_t)0x7ff63e01, (q31_t)0x2355fd9,
+ (q31_t)0x7ff6abc8, (q31_t)0x228d0bb, (q31_t)0x7ff71718, (q31_t)0x21c4188,
+ (q31_t)0x7ff77ff1, (q31_t)0x20fb240, (q31_t)0x7ff7e652, (q31_t)0x20322e3,
+ (q31_t)0x7ff84a3c, (q31_t)0x1f69373, (q31_t)0x7ff8abae, (q31_t)0x1ea03ef,
+ (q31_t)0x7ff90aaa, (q31_t)0x1dd7459, (q31_t)0x7ff9672d, (q31_t)0x1d0e4b0,
+ (q31_t)0x7ff9c13a, (q31_t)0x1c454f5, (q31_t)0x7ffa18cf, (q31_t)0x1b7c528,
+ (q31_t)0x7ffa6dec, (q31_t)0x1ab354b, (q31_t)0x7ffac092, (q31_t)0x19ea55d,
+ (q31_t)0x7ffb10c1, (q31_t)0x192155f, (q31_t)0x7ffb5e78, (q31_t)0x1858552,
+ (q31_t)0x7ffba9b8, (q31_t)0x178f536, (q31_t)0x7ffbf280, (q31_t)0x16c650b,
+ (q31_t)0x7ffc38d1, (q31_t)0x15fd4d2, (q31_t)0x7ffc7caa, (q31_t)0x153448c,
+ (q31_t)0x7ffcbe0c, (q31_t)0x146b438, (q31_t)0x7ffcfcf6, (q31_t)0x13a23d8,
+ (q31_t)0x7ffd3969, (q31_t)0x12d936c, (q31_t)0x7ffd7364, (q31_t)0x12102f4,
+ (q31_t)0x7ffdaae7, (q31_t)0x1147271, (q31_t)0x7ffddff3, (q31_t)0x107e1e3,
+ (q31_t)0x7ffe1288, (q31_t)0xfb514b, (q31_t)0x7ffe42a4, (q31_t)0xeec0aa,
+ (q31_t)0x7ffe704a, (q31_t)0xe22fff, (q31_t)0x7ffe9b77, (q31_t)0xd59f4c,
+ (q31_t)0x7ffec42d, (q31_t)0xc90e90, (q31_t)0x7ffeea6c, (q31_t)0xbc7dcc,
+ (q31_t)0x7fff0e32, (q31_t)0xafed02, (q31_t)0x7fff2f82, (q31_t)0xa35c30,
+ (q31_t)0x7fff4e59, (q31_t)0x96cb58, (q31_t)0x7fff6ab9, (q31_t)0x8a3a7b,
+ (q31_t)0x7fff84a1, (q31_t)0x7da998, (q31_t)0x7fff9c12, (q31_t)0x7118b0,
+ (q31_t)0x7fffb10b, (q31_t)0x6487c4, (q31_t)0x7fffc38c, (q31_t)0x57f6d4,
+ (q31_t)0x7fffd396, (q31_t)0x4b65e1, (q31_t)0x7fffe128, (q31_t)0x3ed4ea,
+ (q31_t)0x7fffec43, (q31_t)0x3243f1, (q31_t)0x7ffff4e6, (q31_t)0x25b2f7,
+ (q31_t)0x7ffffb11, (q31_t)0x1921fb, (q31_t)0x7ffffec4, (q31_t)0xc90fe,
+ (q31_t)0x7fffffff, (q31_t)0x0, (q31_t)0x7ffffec4, (q31_t)0xfff36f02,
+ (q31_t)0x7ffffb11, (q31_t)0xffe6de05, (q31_t)0x7ffff4e6, (q31_t)0xffda4d09,
+ (q31_t)0x7fffec43, (q31_t)0xffcdbc0f, (q31_t)0x7fffe128, (q31_t)0xffc12b16,
+ (q31_t)0x7fffd396, (q31_t)0xffb49a1f, (q31_t)0x7fffc38c, (q31_t)0xffa8092c,
+ (q31_t)0x7fffb10b, (q31_t)0xff9b783c, (q31_t)0x7fff9c12, (q31_t)0xff8ee750,
+ (q31_t)0x7fff84a1, (q31_t)0xff825668, (q31_t)0x7fff6ab9, (q31_t)0xff75c585,
+ (q31_t)0x7fff4e59, (q31_t)0xff6934a8, (q31_t)0x7fff2f82, (q31_t)0xff5ca3d0,
+ (q31_t)0x7fff0e32, (q31_t)0xff5012fe, (q31_t)0x7ffeea6c, (q31_t)0xff438234,
+ (q31_t)0x7ffec42d, (q31_t)0xff36f170, (q31_t)0x7ffe9b77, (q31_t)0xff2a60b4,
+ (q31_t)0x7ffe704a, (q31_t)0xff1dd001, (q31_t)0x7ffe42a4, (q31_t)0xff113f56,
+ (q31_t)0x7ffe1288, (q31_t)0xff04aeb5, (q31_t)0x7ffddff3, (q31_t)0xfef81e1d,
+ (q31_t)0x7ffdaae7, (q31_t)0xfeeb8d8f, (q31_t)0x7ffd7364, (q31_t)0xfedefd0c,
+ (q31_t)0x7ffd3969, (q31_t)0xfed26c94, (q31_t)0x7ffcfcf6, (q31_t)0xfec5dc28,
+ (q31_t)0x7ffcbe0c, (q31_t)0xfeb94bc8, (q31_t)0x7ffc7caa, (q31_t)0xfeacbb74,
+ (q31_t)0x7ffc38d1, (q31_t)0xfea02b2e, (q31_t)0x7ffbf280, (q31_t)0xfe939af5,
+ (q31_t)0x7ffba9b8, (q31_t)0xfe870aca, (q31_t)0x7ffb5e78, (q31_t)0xfe7a7aae,
+ (q31_t)0x7ffb10c1, (q31_t)0xfe6deaa1, (q31_t)0x7ffac092, (q31_t)0xfe615aa3,
+ (q31_t)0x7ffa6dec, (q31_t)0xfe54cab5, (q31_t)0x7ffa18cf, (q31_t)0xfe483ad8,
+ (q31_t)0x7ff9c13a, (q31_t)0xfe3bab0b, (q31_t)0x7ff9672d, (q31_t)0xfe2f1b50,
+ (q31_t)0x7ff90aaa, (q31_t)0xfe228ba7, (q31_t)0x7ff8abae, (q31_t)0xfe15fc11,
+ (q31_t)0x7ff84a3c, (q31_t)0xfe096c8d, (q31_t)0x7ff7e652, (q31_t)0xfdfcdd1d,
+ (q31_t)0x7ff77ff1, (q31_t)0xfdf04dc0, (q31_t)0x7ff71718, (q31_t)0xfde3be78,
+ (q31_t)0x7ff6abc8, (q31_t)0xfdd72f45, (q31_t)0x7ff63e01, (q31_t)0xfdcaa027,
+ (q31_t)0x7ff5cdc3, (q31_t)0xfdbe111e, (q31_t)0x7ff55b0d, (q31_t)0xfdb1822c,
+ (q31_t)0x7ff4e5e0, (q31_t)0xfda4f351, (q31_t)0x7ff46e3c, (q31_t)0xfd98648d,
+ (q31_t)0x7ff3f420, (q31_t)0xfd8bd5e1, (q31_t)0x7ff3778e, (q31_t)0xfd7f474d,
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+ (q31_t)0x5d09b389, (q31_t)0xc6f777c1, (q31_t)0x5cfe802b, (q31_t)0xc6f1c540,
+ (q31_t)0x5cf34baf, (q31_t)0xc6ec14f2, (q31_t)0x5ce81615, (q31_t)0xc6e666d7,
+ (q31_t)0x5cdcdf5e, (q31_t)0xc6e0baf0, (q31_t)0x5cd1a78a, (q31_t)0xc6db113d,
+ (q31_t)0x5cc66e99, (q31_t)0xc6d569be, (q31_t)0x5cbb348d, (q31_t)0xc6cfc472,
+ (q31_t)0x5caff965, (q31_t)0xc6ca215c, (q31_t)0x5ca4bd21, (q31_t)0xc6c4807a,
+ (q31_t)0x5c997fc4, (q31_t)0xc6bee1cd, (q31_t)0x5c8e414b, (q31_t)0xc6b94554,
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+ (q31_t)0x5c6c7f4a, (q31_t)0xc6a87d2d, (q31_t)0x5c613c6d, (q31_t)0xc6a2e98b,
+ (q31_t)0x5c55f878, (q31_t)0xc69d5820, (q31_t)0x5c4ab36b, (q31_t)0xc697c8eb,
+ (q31_t)0x5c3f6d47, (q31_t)0xc6923bec, (q31_t)0x5c34260c, (q31_t)0xc68cb124,
+ (q31_t)0x5c28ddbb, (q31_t)0xc6872894, (q31_t)0x5c1d9454, (q31_t)0xc681a23a,
+ (q31_t)0x5c1249d8, (q31_t)0xc67c1e18, (q31_t)0x5c06fe46, (q31_t)0xc6769c2e,
+ (q31_t)0x5bfbb1a0, (q31_t)0xc6711c7b, (q31_t)0x5bf063e6, (q31_t)0xc66b9f01,
+ (q31_t)0x5be51518, (q31_t)0xc66623be, (q31_t)0x5bd9c537, (q31_t)0xc660aab5,
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+ (q31_t)0x5bb7cf23, (q31_t)0xc6504ced, (q31_t)0x5bac7af9, (q31_t)0xc64adcc7,
+ (q31_t)0x5ba125bd, (q31_t)0xc6456edb, (q31_t)0x5b95cf71, (q31_t)0xc6400329,
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+ (q31_t)0x5b73c62d, (q31_t)0xc62fcd6f, (q31_t)0x5b686ba3, (q31_t)0xc62a6aa6,
+ (q31_t)0x5b5d100a, (q31_t)0xc6250a18, (q31_t)0x5b51b363, (q31_t)0xc61fabc4,
+ (q31_t)0x5b4655ae, (q31_t)0xc61a4fac, (q31_t)0x5b3af6ec, (q31_t)0xc614f5cf,
+ (q31_t)0x5b2f971e, (q31_t)0xc60f9e2e, (q31_t)0x5b243643, (q31_t)0xc60a48c9,
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+ (q31_t)0x5b020d6c, (q31_t)0xc5fa5603, (q31_t)0x5af6a865, (q31_t)0xc5f5098f,
+ (q31_t)0x5aeb4253, (q31_t)0xc5efbf58, (q31_t)0x5adfdb37, (q31_t)0xc5ea775e,
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+ (q31_t)0x5aa6c82b, (q31_t)0xc5d03118, (q31_t)0x5a9b5adf, (q31_t)0xc5caf690,
+ (q31_t)0x5a8fec8c, (q31_t)0xc5c5be47, (q31_t)0x5a847d33, (q31_t)0xc5c0883d,
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+ (q31_t)0x5a622907, (q31_t)0xc5b0f399, (q31_t)0x5a56b599, (q31_t)0xc5abc68c,
+ (q31_t)0x5a4b4128, (q31_t)0xc5a69bbe, (q31_t)0x5a3fcbb3, (q31_t)0xc5a17330,
+ (q31_t)0x5a34553b, (q31_t)0xc59c4ce3, (q31_t)0x5a28ddc0, (q31_t)0xc59728d5,
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+ (q31_t)0x5a067145, (q31_t)0xc587ca31, (q31_t)0x59faf5c5, (q31_t)0xc582af26,
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+ (q31_t)0x59d87d42, (q31_t)0xc5736b90, (q31_t)0x59ccfdc2, (q31_t)0xc56e598c,
+ (q31_t)0x59c17d44, (q31_t)0xc56949ca, (q31_t)0x59b5fbc8, (q31_t)0xc5643c4a,
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+ (q31_t)0x59937161, (q31_t)0xc555215a, (q31_t)0x5987ebf0, (q31_t)0xc5501ce5,
+ (q31_t)0x597c6584, (q31_t)0xc54b1ab4, (q31_t)0x5970de1b, (q31_t)0xc5461ac6,
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+ (q31_t)0x594e4201, (q31_t)0xc5372891, (q31_t)0x5942b6af, (q31_t)0xc53231b3,
+ (q31_t)0x59372a64, (q31_t)0xc52d3d18, (q31_t)0x592b9d1f, (q31_t)0xc5284ac3,
+ (q31_t)0x59200ee3, (q31_t)0xc5235ab2, (q31_t)0x59147fae, (q31_t)0xc51e6ce6,
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+ (q31_t)0x58ac4b87, (q31_t)0xc4f276f7, (q31_t)0x58a0b2bb, (q31_t)0xc4ed9fe7,
+ (q31_t)0x589518fc, (q31_t)0xc4e8cb1e, (q31_t)0x58897e4a, (q31_t)0xc4e3f89c,
+ (q31_t)0x587de2a7, (q31_t)0xc4df2862, (q31_t)0x58724611, (q31_t)0xc4da5a6f,
+ (q31_t)0x5866a88a, (q31_t)0xc4d58ec3, (q31_t)0x585b0a13, (q31_t)0xc4d0c560,
+ (q31_t)0x584f6aab, (q31_t)0xc4cbfe45, (q31_t)0x5843ca53, (q31_t)0xc4c73972,
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+ (q31_t)0x5820e3b0, (q31_t)0xc4b8f8ad, (q31_t)0x58153f9d, (q31_t)0xc4b43cfd,
+ (q31_t)0x58099a9c, (q31_t)0xc4af8397, (q31_t)0x57fdf4ae, (q31_t)0xc4aacc7a,
+ (q31_t)0x57f24dd3, (q31_t)0xc4a617a6, (q31_t)0x57e6a60c, (q31_t)0xc4a1651c,
+ (q31_t)0x57dafd59, (q31_t)0xc49cb4dd, (q31_t)0x57cf53bb, (q31_t)0xc49806e7,
+ (q31_t)0x57c3a931, (q31_t)0xc4935b3c, (q31_t)0x57b7fdbd, (q31_t)0xc48eb1db,
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+ (q31_t)0x5766340f, (q31_t)0xc46e5069, (q31_t)0x575a8157, (q31_t)0xc469b963,
+ (q31_t)0x574ecdb8, (q31_t)0xc46524a9, (q31_t)0x57431933, (q31_t)0xc460923b,
+ (q31_t)0x573763c9, (q31_t)0xc45c0219, (q31_t)0x572bad7a, (q31_t)0xc4577444,
+ (q31_t)0x571ff646, (q31_t)0xc452e8bc, (q31_t)0x57143e2d, (q31_t)0xc44e5f80,
+ (q31_t)0x57088531, (q31_t)0xc449d892, (q31_t)0x56fccb51, (q31_t)0xc44553f2,
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+ (q31_t)0x56aa9d7e, (q31_t)0xc425f410, (q31_t)0x569edc94, (q31_t)0xc42181e0,
+ (q31_t)0x56931acb, (q31_t)0xc41d11ff, (q31_t)0x56875823, (q31_t)0xc418a46d,
+ (q31_t)0x567b949d, (q31_t)0xc414392b, (q31_t)0x566fd039, (q31_t)0xc40fd037,
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+ (q31_t)0x564c7ddd, (q31_t)0xc402a33c, (q31_t)0x5640b606, (q31_t)0xc3fe4388,
+ (q31_t)0x5634ed53, (q31_t)0xc3f9e624, (q31_t)0x562923c5, (q31_t)0xc3f58b10,
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+ (q31_t)0x558f9a76, (q31_t)0xc3bdbdf6, (q31_t)0x5583c51b, (q31_t)0xc3b9835a,
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+ (q31_t)0x545ae653, (q31_t)0xc352bef9, (q31_t)0x544efbfc, (q31_t)0xc34ec0fc,
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+ (q31_t)0x542b3846, (q31_t)0xc342d510, (q31_t)0x541f4ad1, (q31_t)0xc33ee070,
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+ (q31_t)0x539be3f2, (q31_t)0xc313f848, (q31_t)0x538fed4b, (q31_t)0xc3101fce,
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+ (q31_t)0x533c19b8, (q31_t)0xc2f57644, (q31_t)0x53301d16, (q31_t)0xc2f1b099,
+ (q31_t)0x53241fb6, (q31_t)0xc2eded49, (q31_t)0x5318219a, (q31_t)0xc2ea2c53,
+ (q31_t)0x530c22c1, (q31_t)0xc2e66db8, (q31_t)0x5300232c, (q31_t)0xc2e2b178,
+ (q31_t)0x52f422db, (q31_t)0xc2def794, (q31_t)0x52e821cf, (q31_t)0xc2db400a,
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+ (q31_t)0x527bf7d1, (q31_t)0xc2ba365c, (q31_t)0x526fef90, (q31_t)0xc2b6966c,
+ (q31_t)0x5263e699, (q31_t)0xc2b2f8d8, (q31_t)0x5257dced, (q31_t)0xc2af5da2,
+ (q31_t)0x524bd28c, (q31_t)0xc2abc4c9, (q31_t)0x523fc776, (q31_t)0xc2a82e4d,
+ (q31_t)0x5233bbac, (q31_t)0xc2a49a2e, (q31_t)0x5227af2e, (q31_t)0xc2a1086d,
+ (q31_t)0x521ba1fd, (q31_t)0xc29d790a, (q31_t)0x520f941a, (q31_t)0xc299ec05,
+ (q31_t)0x52038584, (q31_t)0xc296615d, (q31_t)0x51f7763c, (q31_t)0xc292d914,
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+ (q31_t)0x51d3443f, (q31_t)0xc2884e6e, (q31_t)0x51c73235, (q31_t)0xc284cf9f,
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+ (q31_t)0x51a2f7fc, (q31_t)0xc27a616a, (q31_t)0x5196e337, (q31_t)0xc276ec16,
+ (q31_t)0x518acdc4, (q31_t)0xc2737922, (q31_t)0x517eb7a4, (q31_t)0xc270088e,
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+ (q31_t)0x512a09fc, (q31_t)0xc25836f9, (q31_t)0x511dee84, (q31_t)0xc254d965,
+ (q31_t)0x5111d263, (q31_t)0xc2517e31, (q31_t)0x5105b599, (q31_t)0xc24e255e,
+ (q31_t)0x50f99827, (q31_t)0xc24aceed, (q31_t)0x50ed7a0e, (q31_t)0xc2477adc,
+ (q31_t)0x50e15b4e, (q31_t)0xc244292c, (q31_t)0x50d53be7, (q31_t)0xc240d9de,
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+ (q31_t)0x50b0d9d0, (q31_t)0xc236fa3b, (q31_t)0x50a4b7d3, (q31_t)0xc233b473,
+ (q31_t)0x50989532, (q31_t)0xc230710d, (q31_t)0x508c71ee, (q31_t)0xc22d3009,
+ (q31_t)0x50804e06, (q31_t)0xc229f167, (q31_t)0x5074297b, (q31_t)0xc226b528,
+ (q31_t)0x5068044e, (q31_t)0xc2237b4b, (q31_t)0x505bde7f, (q31_t)0xc22043d0,
+ (q31_t)0x504fb80e, (q31_t)0xc21d0eb8, (q31_t)0x504390fd, (q31_t)0xc219dc03,
+ (q31_t)0x5037694b, (q31_t)0xc216abb1, (q31_t)0x502b40f8, (q31_t)0xc2137dc2,
+ (q31_t)0x501f1807, (q31_t)0xc2105236, (q31_t)0x5012ee76, (q31_t)0xc20d290d,
+ (q31_t)0x5006c446, (q31_t)0xc20a0248, (q31_t)0x4ffa9979, (q31_t)0xc206dde6,
+ (q31_t)0x4fee6e0d, (q31_t)0xc203bbe8, (q31_t)0x4fe24205, (q31_t)0xc2009c4e,
+ (q31_t)0x4fd6155f, (q31_t)0xc1fd7f17, (q31_t)0x4fc9e81e, (q31_t)0xc1fa6445,
+ (q31_t)0x4fbdba40, (q31_t)0xc1f74bd6, (q31_t)0x4fb18bc8, (q31_t)0xc1f435cc,
+ (q31_t)0x4fa55cb4, (q31_t)0xc1f12227, (q31_t)0x4f992d06, (q31_t)0xc1ee10e5,
+ (q31_t)0x4f8cfcbe, (q31_t)0xc1eb0209, (q31_t)0x4f80cbdc, (q31_t)0xc1e7f591,
+ (q31_t)0x4f749a61, (q31_t)0xc1e4eb7e, (q31_t)0x4f68684e, (q31_t)0xc1e1e3d0,
+ (q31_t)0x4f5c35a3, (q31_t)0xc1dede87, (q31_t)0x4f500260, (q31_t)0xc1dbdba3,
+ (q31_t)0x4f43ce86, (q31_t)0xc1d8db25, (q31_t)0x4f379a16, (q31_t)0xc1d5dd0c,
+ (q31_t)0x4f2b650f, (q31_t)0xc1d2e158, (q31_t)0x4f1f2f73, (q31_t)0xc1cfe80a,
+ (q31_t)0x4f12f941, (q31_t)0xc1ccf122, (q31_t)0x4f06c27a, (q31_t)0xc1c9fca0,
+ (q31_t)0x4efa8b20, (q31_t)0xc1c70a84, (q31_t)0x4eee5331, (q31_t)0xc1c41ace,
+ (q31_t)0x4ee21aaf, (q31_t)0xc1c12d7e, (q31_t)0x4ed5e19a, (q31_t)0xc1be4294,
+ (q31_t)0x4ec9a7f3, (q31_t)0xc1bb5a11, (q31_t)0x4ebd6db9, (q31_t)0xc1b873f5,
+ (q31_t)0x4eb132ef, (q31_t)0xc1b5903f, (q31_t)0x4ea4f793, (q31_t)0xc1b2aef0,
+ (q31_t)0x4e98bba7, (q31_t)0xc1afd007, (q31_t)0x4e8c7f2a, (q31_t)0xc1acf386,
+ (q31_t)0x4e80421e, (q31_t)0xc1aa196c, (q31_t)0x4e740483, (q31_t)0xc1a741b9,
+ (q31_t)0x4e67c65a, (q31_t)0xc1a46c6e, (q31_t)0x4e5b87a2, (q31_t)0xc1a1998a,
+ (q31_t)0x4e4f485c, (q31_t)0xc19ec90d, (q31_t)0x4e430889, (q31_t)0xc19bfaf9,
+ (q31_t)0x4e36c82a, (q31_t)0xc1992f4c, (q31_t)0x4e2a873e, (q31_t)0xc1966606,
+ (q31_t)0x4e1e45c6, (q31_t)0xc1939f29, (q31_t)0x4e1203c3, (q31_t)0xc190dab4,
+ (q31_t)0x4e05c135, (q31_t)0xc18e18a7, (q31_t)0x4df97e1d, (q31_t)0xc18b5903,
+ (q31_t)0x4ded3a7b, (q31_t)0xc1889bc6, (q31_t)0x4de0f64f, (q31_t)0xc185e0f3,
+ (q31_t)0x4dd4b19a, (q31_t)0xc1832888, (q31_t)0x4dc86c5d, (q31_t)0xc1807285,
+ (q31_t)0x4dbc2698, (q31_t)0xc17dbeec, (q31_t)0x4dafe04b, (q31_t)0xc17b0dbb,
+ (q31_t)0x4da39978, (q31_t)0xc1785ef4, (q31_t)0x4d97521d, (q31_t)0xc175b296,
+ (q31_t)0x4d8b0a3d, (q31_t)0xc17308a1, (q31_t)0x4d7ec1d6, (q31_t)0xc1706115,
+ (q31_t)0x4d7278eb, (q31_t)0xc16dbbf3, (q31_t)0x4d662f7b, (q31_t)0xc16b193a,
+ (q31_t)0x4d59e586, (q31_t)0xc16878eb, (q31_t)0x4d4d9b0e, (q31_t)0xc165db05,
+ (q31_t)0x4d415013, (q31_t)0xc1633f8a, (q31_t)0x4d350495, (q31_t)0xc160a678,
+ (q31_t)0x4d28b894, (q31_t)0xc15e0fd1, (q31_t)0x4d1c6c11, (q31_t)0xc15b7b94,
+ (q31_t)0x4d101f0e, (q31_t)0xc158e9c1, (q31_t)0x4d03d189, (q31_t)0xc1565a58,
+ (q31_t)0x4cf78383, (q31_t)0xc153cd5a, (q31_t)0x4ceb34fe, (q31_t)0xc15142c6,
+ (q31_t)0x4cdee5f9, (q31_t)0xc14eba9d, (q31_t)0x4cd29676, (q31_t)0xc14c34df,
+ (q31_t)0x4cc64673, (q31_t)0xc149b18b, (q31_t)0x4cb9f5f3, (q31_t)0xc14730a3,
+ (q31_t)0x4cada4f5, (q31_t)0xc144b225, (q31_t)0x4ca1537a, (q31_t)0xc1423613,
+ (q31_t)0x4c950182, (q31_t)0xc13fbc6c, (q31_t)0x4c88af0e, (q31_t)0xc13d4530,
+ (q31_t)0x4c7c5c1e, (q31_t)0xc13ad060, (q31_t)0x4c7008b3, (q31_t)0xc1385dfb,
+ (q31_t)0x4c63b4ce, (q31_t)0xc135ee02, (q31_t)0x4c57606e, (q31_t)0xc1338075,
+ (q31_t)0x4c4b0b94, (q31_t)0xc1311553, (q31_t)0x4c3eb641, (q31_t)0xc12eac9d,
+ (q31_t)0x4c326075, (q31_t)0xc12c4653, (q31_t)0x4c260a31, (q31_t)0xc129e276,
+ (q31_t)0x4c19b374, (q31_t)0xc1278104, (q31_t)0x4c0d5c41, (q31_t)0xc12521ff,
+ (q31_t)0x4c010496, (q31_t)0xc122c566, (q31_t)0x4bf4ac75, (q31_t)0xc1206b39,
+ (q31_t)0x4be853de, (q31_t)0xc11e1379, (q31_t)0x4bdbfad1, (q31_t)0xc11bbe26,
+ (q31_t)0x4bcfa150, (q31_t)0xc1196b3f, (q31_t)0x4bc34759, (q31_t)0xc1171ac6,
+ (q31_t)0x4bb6ecef, (q31_t)0xc114ccb9, (q31_t)0x4baa9211, (q31_t)0xc1128119,
+ (q31_t)0x4b9e36c0, (q31_t)0xc11037e6, (q31_t)0x4b91dafc, (q31_t)0xc10df120,
+ (q31_t)0x4b857ec7, (q31_t)0xc10bacc8, (q31_t)0x4b79221f, (q31_t)0xc1096add,
+ (q31_t)0x4b6cc506, (q31_t)0xc1072b5f, (q31_t)0x4b60677c, (q31_t)0xc104ee4f,
+ (q31_t)0x4b540982, (q31_t)0xc102b3ac, (q31_t)0x4b47ab19, (q31_t)0xc1007b77,
+ (q31_t)0x4b3b4c40, (q31_t)0xc0fe45b0, (q31_t)0x4b2eecf8, (q31_t)0xc0fc1257,
+ (q31_t)0x4b228d42, (q31_t)0xc0f9e16b, (q31_t)0x4b162d1d, (q31_t)0xc0f7b2ee,
+ (q31_t)0x4b09cc8c, (q31_t)0xc0f586df, (q31_t)0x4afd6b8d, (q31_t)0xc0f35d3e,
+ (q31_t)0x4af10a22, (q31_t)0xc0f1360b, (q31_t)0x4ae4a84b, (q31_t)0xc0ef1147,
+ (q31_t)0x4ad84609, (q31_t)0xc0eceef1, (q31_t)0x4acbe35b, (q31_t)0xc0eacf09,
+ (q31_t)0x4abf8043, (q31_t)0xc0e8b190, (q31_t)0x4ab31cc1, (q31_t)0xc0e69686,
+ (q31_t)0x4aa6b8d5, (q31_t)0xc0e47deb, (q31_t)0x4a9a5480, (q31_t)0xc0e267be,
+ (q31_t)0x4a8defc3, (q31_t)0xc0e05401, (q31_t)0x4a818a9d, (q31_t)0xc0de42b2,
+ (q31_t)0x4a752510, (q31_t)0xc0dc33d2, (q31_t)0x4a68bf1b, (q31_t)0xc0da2762,
+ (q31_t)0x4a5c58c0, (q31_t)0xc0d81d61, (q31_t)0x4a4ff1fe, (q31_t)0xc0d615cf,
+ (q31_t)0x4a438ad7, (q31_t)0xc0d410ad, (q31_t)0x4a37234a, (q31_t)0xc0d20dfa,
+ (q31_t)0x4a2abb59, (q31_t)0xc0d00db6, (q31_t)0x4a1e5303, (q31_t)0xc0ce0fe3,
+ (q31_t)0x4a11ea49, (q31_t)0xc0cc147f, (q31_t)0x4a05812c, (q31_t)0xc0ca1b8a,
+ (q31_t)0x49f917ac, (q31_t)0xc0c82506, (q31_t)0x49ecadc9, (q31_t)0xc0c630f2,
+ (q31_t)0x49e04385, (q31_t)0xc0c43f4d, (q31_t)0x49d3d8df, (q31_t)0xc0c25019,
+ (q31_t)0x49c76dd8, (q31_t)0xc0c06355, (q31_t)0x49bb0271, (q31_t)0xc0be7901,
+ (q31_t)0x49ae96aa, (q31_t)0xc0bc911d, (q31_t)0x49a22a83, (q31_t)0xc0baabaa,
+ (q31_t)0x4995bdfd, (q31_t)0xc0b8c8a7, (q31_t)0x49895118, (q31_t)0xc0b6e815,
+ (q31_t)0x497ce3d5, (q31_t)0xc0b509f3, (q31_t)0x49707635, (q31_t)0xc0b32e42,
+ (q31_t)0x49640837, (q31_t)0xc0b15502, (q31_t)0x495799dd, (q31_t)0xc0af7e33,
+ (q31_t)0x494b2b27, (q31_t)0xc0ada9d4, (q31_t)0x493ebc14, (q31_t)0xc0abd7e6,
+ (q31_t)0x49324ca7, (q31_t)0xc0aa086a, (q31_t)0x4925dcdf, (q31_t)0xc0a83b5e,
+ (q31_t)0x49196cbc, (q31_t)0xc0a670c4, (q31_t)0x490cfc40, (q31_t)0xc0a4a89b,
+ (q31_t)0x49008b6a, (q31_t)0xc0a2e2e3, (q31_t)0x48f41a3c, (q31_t)0xc0a11f9d,
+ (q31_t)0x48e7a8b5, (q31_t)0xc09f5ec8, (q31_t)0x48db36d6, (q31_t)0xc09da065,
+ (q31_t)0x48cec4a0, (q31_t)0xc09be473, (q31_t)0x48c25213, (q31_t)0xc09a2af3,
+ (q31_t)0x48b5df30, (q31_t)0xc09873e4, (q31_t)0x48a96bf6, (q31_t)0xc096bf48,
+ (q31_t)0x489cf867, (q31_t)0xc0950d1d, (q31_t)0x48908483, (q31_t)0xc0935d64,
+ (q31_t)0x4884104b, (q31_t)0xc091b01d, (q31_t)0x48779bbe, (q31_t)0xc0900548,
+ (q31_t)0x486b26de, (q31_t)0xc08e5ce5, (q31_t)0x485eb1ab, (q31_t)0xc08cb6f5,
+ (q31_t)0x48523c25, (q31_t)0xc08b1376, (q31_t)0x4845c64d, (q31_t)0xc089726a,
+ (q31_t)0x48395024, (q31_t)0xc087d3d0, (q31_t)0x482cd9a9, (q31_t)0xc08637a9,
+ (q31_t)0x482062de, (q31_t)0xc0849df4, (q31_t)0x4813ebc2, (q31_t)0xc08306b2,
+ (q31_t)0x48077457, (q31_t)0xc08171e2, (q31_t)0x47fafc9c, (q31_t)0xc07fdf85,
+ (q31_t)0x47ee8493, (q31_t)0xc07e4f9b, (q31_t)0x47e20c3b, (q31_t)0xc07cc223,
+ (q31_t)0x47d59396, (q31_t)0xc07b371e, (q31_t)0x47c91aa3, (q31_t)0xc079ae8c,
+ (q31_t)0x47bca163, (q31_t)0xc078286e, (q31_t)0x47b027d7, (q31_t)0xc076a4c2,
+ (q31_t)0x47a3adff, (q31_t)0xc0752389, (q31_t)0x479733dc, (q31_t)0xc073a4c3,
+ (q31_t)0x478ab96e, (q31_t)0xc0722871, (q31_t)0x477e3eb5, (q31_t)0xc070ae92,
+ (q31_t)0x4771c3b3, (q31_t)0xc06f3726, (q31_t)0x47654867, (q31_t)0xc06dc22e,
+ (q31_t)0x4758ccd2, (q31_t)0xc06c4fa8, (q31_t)0x474c50f4, (q31_t)0xc06adf97,
+ (q31_t)0x473fd4cf, (q31_t)0xc06971f9, (q31_t)0x47335862, (q31_t)0xc06806ce,
+ (q31_t)0x4726dbae, (q31_t)0xc0669e18, (q31_t)0x471a5eb3, (q31_t)0xc06537d4,
+ (q31_t)0x470de172, (q31_t)0xc063d405, (q31_t)0x470163eb, (q31_t)0xc06272aa,
+ (q31_t)0x46f4e620, (q31_t)0xc06113c2, (q31_t)0x46e86810, (q31_t)0xc05fb74e,
+ (q31_t)0x46dbe9bb, (q31_t)0xc05e5d4e, (q31_t)0x46cf6b23, (q31_t)0xc05d05c3,
+ (q31_t)0x46c2ec48, (q31_t)0xc05bb0ab, (q31_t)0x46b66d29, (q31_t)0xc05a5e07,
+ (q31_t)0x46a9edc9, (q31_t)0xc0590dd8, (q31_t)0x469d6e27, (q31_t)0xc057c01d,
+ (q31_t)0x4690ee44, (q31_t)0xc05674d6, (q31_t)0x46846e1f, (q31_t)0xc0552c03,
+ (q31_t)0x4677edbb, (q31_t)0xc053e5a5, (q31_t)0x466b6d16, (q31_t)0xc052a1bb,
+ (q31_t)0x465eec33, (q31_t)0xc0516045, (q31_t)0x46526b10, (q31_t)0xc0502145,
+ (q31_t)0x4645e9af, (q31_t)0xc04ee4b8, (q31_t)0x46396810, (q31_t)0xc04daaa1,
+ (q31_t)0x462ce634, (q31_t)0xc04c72fe, (q31_t)0x4620641a, (q31_t)0xc04b3dcf,
+ (q31_t)0x4613e1c5, (q31_t)0xc04a0b16, (q31_t)0x46075f33, (q31_t)0xc048dad1,
+ (q31_t)0x45fadc66, (q31_t)0xc047ad01, (q31_t)0x45ee595d, (q31_t)0xc04681a6,
+ (q31_t)0x45e1d61b, (q31_t)0xc04558c0, (q31_t)0x45d5529e, (q31_t)0xc044324f,
+ (q31_t)0x45c8cee7, (q31_t)0xc0430e53, (q31_t)0x45bc4af8, (q31_t)0xc041eccc,
+ (q31_t)0x45afc6d0, (q31_t)0xc040cdba, (q31_t)0x45a3426f, (q31_t)0xc03fb11d,
+ (q31_t)0x4596bdd7, (q31_t)0xc03e96f6, (q31_t)0x458a3908, (q31_t)0xc03d7f44,
+ (q31_t)0x457db403, (q31_t)0xc03c6a07, (q31_t)0x45712ec7, (q31_t)0xc03b573f,
+ (q31_t)0x4564a955, (q31_t)0xc03a46ed, (q31_t)0x455823ae, (q31_t)0xc0393910,
+ (q31_t)0x454b9dd3, (q31_t)0xc0382da8, (q31_t)0x453f17c3, (q31_t)0xc03724b6,
+ (q31_t)0x4532917f, (q31_t)0xc0361e3a, (q31_t)0x45260b08, (q31_t)0xc0351a33,
+ (q31_t)0x4519845e, (q31_t)0xc03418a2, (q31_t)0x450cfd82, (q31_t)0xc0331986,
+ (q31_t)0x45007674, (q31_t)0xc0321ce0, (q31_t)0x44f3ef35, (q31_t)0xc03122b0,
+ (q31_t)0x44e767c5, (q31_t)0xc0302af5, (q31_t)0x44dae024, (q31_t)0xc02f35b1,
+ (q31_t)0x44ce5854, (q31_t)0xc02e42e2, (q31_t)0x44c1d054, (q31_t)0xc02d5289,
+ (q31_t)0x44b54825, (q31_t)0xc02c64a6, (q31_t)0x44a8bfc7, (q31_t)0xc02b7939,
+ (q31_t)0x449c373c, (q31_t)0xc02a9042, (q31_t)0x448fae83, (q31_t)0xc029a9c1,
+ (q31_t)0x4483259d, (q31_t)0xc028c5b6, (q31_t)0x44769c8b, (q31_t)0xc027e421,
+ (q31_t)0x446a134c, (q31_t)0xc0270502, (q31_t)0x445d89e2, (q31_t)0xc0262859,
+ (q31_t)0x4451004d, (q31_t)0xc0254e27, (q31_t)0x4444768d, (q31_t)0xc024766a,
+ (q31_t)0x4437eca4, (q31_t)0xc023a124, (q31_t)0x442b6290, (q31_t)0xc022ce54,
+ (q31_t)0x441ed854, (q31_t)0xc021fdfb, (q31_t)0x44124dee, (q31_t)0xc0213018,
+ (q31_t)0x4405c361, (q31_t)0xc02064ab, (q31_t)0x43f938ac, (q31_t)0xc01f9bb5,
+ (q31_t)0x43ecadcf, (q31_t)0xc01ed535, (q31_t)0x43e022cc, (q31_t)0xc01e112b,
+ (q31_t)0x43d397a3, (q31_t)0xc01d4f99, (q31_t)0x43c70c54, (q31_t)0xc01c907c,
+ (q31_t)0x43ba80df, (q31_t)0xc01bd3d6, (q31_t)0x43adf546, (q31_t)0xc01b19a7,
+ (q31_t)0x43a16988, (q31_t)0xc01a61ee, (q31_t)0x4394dda7, (q31_t)0xc019acac,
+ (q31_t)0x438851a2, (q31_t)0xc018f9e1, (q31_t)0x437bc57b, (q31_t)0xc018498c,
+ (q31_t)0x436f3931, (q31_t)0xc0179bae, (q31_t)0x4362acc5, (q31_t)0xc016f047,
+ (q31_t)0x43562038, (q31_t)0xc0164757, (q31_t)0x43499389, (q31_t)0xc015a0dd,
+ (q31_t)0x433d06bb, (q31_t)0xc014fcda, (q31_t)0x433079cc, (q31_t)0xc0145b4e,
+ (q31_t)0x4323ecbe, (q31_t)0xc013bc39, (q31_t)0x43175f91, (q31_t)0xc0131f9b,
+ (q31_t)0x430ad245, (q31_t)0xc0128574, (q31_t)0x42fe44dc, (q31_t)0xc011edc3,
+ (q31_t)0x42f1b755, (q31_t)0xc011588a, (q31_t)0x42e529b0, (q31_t)0xc010c5c7,
+ (q31_t)0x42d89bf0, (q31_t)0xc010357c, (q31_t)0x42cc0e13, (q31_t)0xc00fa7a8,
+ (q31_t)0x42bf801a, (q31_t)0xc00f1c4a, (q31_t)0x42b2f207, (q31_t)0xc00e9364,
+ (q31_t)0x42a663d8, (q31_t)0xc00e0cf5, (q31_t)0x4299d590, (q31_t)0xc00d88fd,
+ (q31_t)0x428d472e, (q31_t)0xc00d077c, (q31_t)0x4280b8b3, (q31_t)0xc00c8872,
+ (q31_t)0x42742a1f, (q31_t)0xc00c0be0, (q31_t)0x42679b73, (q31_t)0xc00b91c4,
+ (q31_t)0x425b0caf, (q31_t)0xc00b1a20, (q31_t)0x424e7dd4, (q31_t)0xc00aa4f3,
+ (q31_t)0x4241eee2, (q31_t)0xc00a323d, (q31_t)0x42355fd9, (q31_t)0xc009c1ff,
+ (q31_t)0x4228d0bb, (q31_t)0xc0095438, (q31_t)0x421c4188, (q31_t)0xc008e8e8,
+ (q31_t)0x420fb240, (q31_t)0xc008800f, (q31_t)0x420322e3, (q31_t)0xc00819ae,
+ (q31_t)0x41f69373, (q31_t)0xc007b5c4, (q31_t)0x41ea03ef, (q31_t)0xc0075452,
+ (q31_t)0x41dd7459, (q31_t)0xc006f556, (q31_t)0x41d0e4b0, (q31_t)0xc00698d3,
+ (q31_t)0x41c454f5, (q31_t)0xc0063ec6, (q31_t)0x41b7c528, (q31_t)0xc005e731,
+ (q31_t)0x41ab354b, (q31_t)0xc0059214, (q31_t)0x419ea55d, (q31_t)0xc0053f6e,
+ (q31_t)0x4192155f, (q31_t)0xc004ef3f, (q31_t)0x41858552, (q31_t)0xc004a188,
+ (q31_t)0x4178f536, (q31_t)0xc0045648, (q31_t)0x416c650b, (q31_t)0xc0040d80,
+ (q31_t)0x415fd4d2, (q31_t)0xc003c72f, (q31_t)0x4153448c, (q31_t)0xc0038356,
+ (q31_t)0x4146b438, (q31_t)0xc00341f4, (q31_t)0x413a23d8, (q31_t)0xc003030a,
+ (q31_t)0x412d936c, (q31_t)0xc002c697, (q31_t)0x412102f4, (q31_t)0xc0028c9c,
+ (q31_t)0x41147271, (q31_t)0xc0025519, (q31_t)0x4107e1e3, (q31_t)0xc002200d,
+ (q31_t)0x40fb514b, (q31_t)0xc001ed78, (q31_t)0x40eec0aa, (q31_t)0xc001bd5c,
+ (q31_t)0x40e22fff, (q31_t)0xc0018fb6, (q31_t)0x40d59f4c, (q31_t)0xc0016489,
+ (q31_t)0x40c90e90, (q31_t)0xc0013bd3, (q31_t)0x40bc7dcc, (q31_t)0xc0011594,
+ (q31_t)0x40afed02, (q31_t)0xc000f1ce, (q31_t)0x40a35c30, (q31_t)0xc000d07e,
+ (q31_t)0x4096cb58, (q31_t)0xc000b1a7, (q31_t)0x408a3a7b, (q31_t)0xc0009547,
+ (q31_t)0x407da998, (q31_t)0xc0007b5f, (q31_t)0x407118b0, (q31_t)0xc00063ee,
+ (q31_t)0x406487c4, (q31_t)0xc0004ef5, (q31_t)0x4057f6d4, (q31_t)0xc0003c74,
+ (q31_t)0x404b65e1, (q31_t)0xc0002c6a, (q31_t)0x403ed4ea, (q31_t)0xc0001ed8,
+ (q31_t)0x403243f1, (q31_t)0xc00013bd, (q31_t)0x4025b2f7, (q31_t)0xc0000b1a,
+ (q31_t)0x401921fb, (q31_t)0xc00004ef, (q31_t)0x400c90fe, (q31_t)0xc000013c,
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15)
+/**
+ @par
+ Generation fixed-point realCoefAQ15 array in Q15 format:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pATable[2 * i] = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+ pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q15 format
+ round(pATable[i] * pow(2, 15))
+ */
+const q15_t __ALIGNED(4) realCoefAQ15[8192] = {
+ (q15_t)0x4000, (q15_t)0xc000, (q15_t)0x3ff3, (q15_t)0xc000, (q15_t)0x3fe7, (q15_t)0xc000, (q15_t)0x3fda, (q15_t)0xc000,
+ (q15_t)0x3fce, (q15_t)0xc000, (q15_t)0x3fc1, (q15_t)0xc000, (q15_t)0x3fb5, (q15_t)0xc000, (q15_t)0x3fa8, (q15_t)0xc000,
+ (q15_t)0x3f9b, (q15_t)0xc000, (q15_t)0x3f8f, (q15_t)0xc000, (q15_t)0x3f82, (q15_t)0xc000, (q15_t)0x3f76, (q15_t)0xc001,
+ (q15_t)0x3f69, (q15_t)0xc001, (q15_t)0x3f5d, (q15_t)0xc001, (q15_t)0x3f50, (q15_t)0xc001, (q15_t)0x3f44, (q15_t)0xc001,
+ (q15_t)0x3f37, (q15_t)0xc001, (q15_t)0x3f2a, (q15_t)0xc001, (q15_t)0x3f1e, (q15_t)0xc002, (q15_t)0x3f11, (q15_t)0xc002,
+ (q15_t)0x3f05, (q15_t)0xc002, (q15_t)0x3ef8, (q15_t)0xc002, (q15_t)0x3eec, (q15_t)0xc002, (q15_t)0x3edf, (q15_t)0xc003,
+ (q15_t)0x3ed2, (q15_t)0xc003, (q15_t)0x3ec6, (q15_t)0xc003, (q15_t)0x3eb9, (q15_t)0xc003, (q15_t)0x3ead, (q15_t)0xc004,
+ (q15_t)0x3ea0, (q15_t)0xc004, (q15_t)0x3e94, (q15_t)0xc004, (q15_t)0x3e87, (q15_t)0xc004, (q15_t)0x3e7a, (q15_t)0xc005,
+ (q15_t)0x3e6e, (q15_t)0xc005, (q15_t)0x3e61, (q15_t)0xc005, (q15_t)0x3e55, (q15_t)0xc006, (q15_t)0x3e48, (q15_t)0xc006,
+ (q15_t)0x3e3c, (q15_t)0xc006, (q15_t)0x3e2f, (q15_t)0xc007, (q15_t)0x3e23, (q15_t)0xc007, (q15_t)0x3e16, (q15_t)0xc007,
+ (q15_t)0x3e09, (q15_t)0xc008, (q15_t)0x3dfd, (q15_t)0xc008, (q15_t)0x3df0, (q15_t)0xc009, (q15_t)0x3de4, (q15_t)0xc009,
+ (q15_t)0x3dd7, (q15_t)0xc009, (q15_t)0x3dcb, (q15_t)0xc00a, (q15_t)0x3dbe, (q15_t)0xc00a, (q15_t)0x3db2, (q15_t)0xc00b,
+ (q15_t)0x3da5, (q15_t)0xc00b, (q15_t)0x3d98, (q15_t)0xc00c, (q15_t)0x3d8c, (q15_t)0xc00c, (q15_t)0x3d7f, (q15_t)0xc00d,
+ (q15_t)0x3d73, (q15_t)0xc00d, (q15_t)0x3d66, (q15_t)0xc00e, (q15_t)0x3d5a, (q15_t)0xc00e, (q15_t)0x3d4d, (q15_t)0xc00f,
+ (q15_t)0x3d40, (q15_t)0xc00f, (q15_t)0x3d34, (q15_t)0xc010, (q15_t)0x3d27, (q15_t)0xc010, (q15_t)0x3d1b, (q15_t)0xc011,
+ (q15_t)0x3d0e, (q15_t)0xc011, (q15_t)0x3d02, (q15_t)0xc012, (q15_t)0x3cf5, (q15_t)0xc013, (q15_t)0x3ce9, (q15_t)0xc013,
+ (q15_t)0x3cdc, (q15_t)0xc014, (q15_t)0x3cd0, (q15_t)0xc014, (q15_t)0x3cc3, (q15_t)0xc015, (q15_t)0x3cb6, (q15_t)0xc016,
+ (q15_t)0x3caa, (q15_t)0xc016, (q15_t)0x3c9d, (q15_t)0xc017, (q15_t)0x3c91, (q15_t)0xc018, (q15_t)0x3c84, (q15_t)0xc018,
+ (q15_t)0x3c78, (q15_t)0xc019, (q15_t)0x3c6b, (q15_t)0xc01a, (q15_t)0x3c5f, (q15_t)0xc01a, (q15_t)0x3c52, (q15_t)0xc01b,
+ (q15_t)0x3c45, (q15_t)0xc01c, (q15_t)0x3c39, (q15_t)0xc01d, (q15_t)0x3c2c, (q15_t)0xc01d, (q15_t)0x3c20, (q15_t)0xc01e,
+ (q15_t)0x3c13, (q15_t)0xc01f, (q15_t)0x3c07, (q15_t)0xc020, (q15_t)0x3bfa, (q15_t)0xc020, (q15_t)0x3bee, (q15_t)0xc021,
+ (q15_t)0x3be1, (q15_t)0xc022, (q15_t)0x3bd5, (q15_t)0xc023, (q15_t)0x3bc8, (q15_t)0xc024, (q15_t)0x3bbc, (q15_t)0xc024,
+ (q15_t)0x3baf, (q15_t)0xc025, (q15_t)0x3ba2, (q15_t)0xc026, (q15_t)0x3b96, (q15_t)0xc027, (q15_t)0x3b89, (q15_t)0xc028,
+ (q15_t)0x3b7d, (q15_t)0xc029, (q15_t)0x3b70, (q15_t)0xc02a, (q15_t)0x3b64, (q15_t)0xc02b, (q15_t)0x3b57, (q15_t)0xc02b,
+ (q15_t)0x3b4b, (q15_t)0xc02c, (q15_t)0x3b3e, (q15_t)0xc02d, (q15_t)0x3b32, (q15_t)0xc02e, (q15_t)0x3b25, (q15_t)0xc02f,
+ (q15_t)0x3b19, (q15_t)0xc030, (q15_t)0x3b0c, (q15_t)0xc031, (q15_t)0x3b00, (q15_t)0xc032, (q15_t)0x3af3, (q15_t)0xc033,
+ (q15_t)0x3ae6, (q15_t)0xc034, (q15_t)0x3ada, (q15_t)0xc035, (q15_t)0x3acd, (q15_t)0xc036, (q15_t)0x3ac1, (q15_t)0xc037,
+ (q15_t)0x3ab4, (q15_t)0xc038, (q15_t)0x3aa8, (q15_t)0xc039, (q15_t)0x3a9b, (q15_t)0xc03a, (q15_t)0x3a8f, (q15_t)0xc03b,
+ (q15_t)0x3a82, (q15_t)0xc03c, (q15_t)0x3a76, (q15_t)0xc03d, (q15_t)0x3a69, (q15_t)0xc03f, (q15_t)0x3a5d, (q15_t)0xc040,
+ (q15_t)0x3a50, (q15_t)0xc041, (q15_t)0x3a44, (q15_t)0xc042, (q15_t)0x3a37, (q15_t)0xc043, (q15_t)0x3a2b, (q15_t)0xc044,
+ (q15_t)0x3a1e, (q15_t)0xc045, (q15_t)0x3a12, (q15_t)0xc047, (q15_t)0x3a05, (q15_t)0xc048, (q15_t)0x39f9, (q15_t)0xc049,
+ (q15_t)0x39ec, (q15_t)0xc04a, (q15_t)0x39e0, (q15_t)0xc04b, (q15_t)0x39d3, (q15_t)0xc04c, (q15_t)0x39c7, (q15_t)0xc04e,
+ (q15_t)0x39ba, (q15_t)0xc04f, (q15_t)0x39ae, (q15_t)0xc050, (q15_t)0x39a1, (q15_t)0xc051, (q15_t)0x3995, (q15_t)0xc053,
+ (q15_t)0x3988, (q15_t)0xc054, (q15_t)0x397c, (q15_t)0xc055, (q15_t)0x396f, (q15_t)0xc056, (q15_t)0x3963, (q15_t)0xc058,
+ (q15_t)0x3956, (q15_t)0xc059, (q15_t)0x394a, (q15_t)0xc05a, (q15_t)0x393d, (q15_t)0xc05c, (q15_t)0x3931, (q15_t)0xc05d,
+ (q15_t)0x3924, (q15_t)0xc05e, (q15_t)0x3918, (q15_t)0xc060, (q15_t)0x390b, (q15_t)0xc061, (q15_t)0x38ff, (q15_t)0xc062,
+ (q15_t)0x38f2, (q15_t)0xc064, (q15_t)0x38e6, (q15_t)0xc065, (q15_t)0x38d9, (q15_t)0xc067, (q15_t)0x38cd, (q15_t)0xc068,
+ (q15_t)0x38c0, (q15_t)0xc069, (q15_t)0x38b4, (q15_t)0xc06b, (q15_t)0x38a7, (q15_t)0xc06c, (q15_t)0x389b, (q15_t)0xc06e,
+ (q15_t)0x388e, (q15_t)0xc06f, (q15_t)0x3882, (q15_t)0xc071, (q15_t)0x3875, (q15_t)0xc072, (q15_t)0x3869, (q15_t)0xc074,
+ (q15_t)0x385c, (q15_t)0xc075, (q15_t)0x3850, (q15_t)0xc077, (q15_t)0x3843, (q15_t)0xc078, (q15_t)0x3837, (q15_t)0xc07a,
+ (q15_t)0x382a, (q15_t)0xc07b, (q15_t)0x381e, (q15_t)0xc07d, (q15_t)0x3811, (q15_t)0xc07e, (q15_t)0x3805, (q15_t)0xc080,
+ (q15_t)0x37f9, (q15_t)0xc081, (q15_t)0x37ec, (q15_t)0xc083, (q15_t)0x37e0, (q15_t)0xc085, (q15_t)0x37d3, (q15_t)0xc086,
+ (q15_t)0x37c7, (q15_t)0xc088, (q15_t)0x37ba, (q15_t)0xc089, (q15_t)0x37ae, (q15_t)0xc08b, (q15_t)0x37a1, (q15_t)0xc08d,
+ (q15_t)0x3795, (q15_t)0xc08e, (q15_t)0x3788, (q15_t)0xc090, (q15_t)0x377c, (q15_t)0xc092, (q15_t)0x376f, (q15_t)0xc093,
+ (q15_t)0x3763, (q15_t)0xc095, (q15_t)0x3757, (q15_t)0xc097, (q15_t)0x374a, (q15_t)0xc098, (q15_t)0x373e, (q15_t)0xc09a,
+ (q15_t)0x3731, (q15_t)0xc09c, (q15_t)0x3725, (q15_t)0xc09e, (q15_t)0x3718, (q15_t)0xc09f, (q15_t)0x370c, (q15_t)0xc0a1,
+ (q15_t)0x36ff, (q15_t)0xc0a3, (q15_t)0x36f3, (q15_t)0xc0a5, (q15_t)0x36e7, (q15_t)0xc0a6, (q15_t)0x36da, (q15_t)0xc0a8,
+ (q15_t)0x36ce, (q15_t)0xc0aa, (q15_t)0x36c1, (q15_t)0xc0ac, (q15_t)0x36b5, (q15_t)0xc0ae, (q15_t)0x36a8, (q15_t)0xc0af,
+ (q15_t)0x369c, (q15_t)0xc0b1, (q15_t)0x3690, (q15_t)0xc0b3, (q15_t)0x3683, (q15_t)0xc0b5, (q15_t)0x3677, (q15_t)0xc0b7,
+ (q15_t)0x366a, (q15_t)0xc0b9, (q15_t)0x365e, (q15_t)0xc0bb, (q15_t)0x3651, (q15_t)0xc0bd, (q15_t)0x3645, (q15_t)0xc0be,
+ (q15_t)0x3639, (q15_t)0xc0c0, (q15_t)0x362c, (q15_t)0xc0c2, (q15_t)0x3620, (q15_t)0xc0c4, (q15_t)0x3613, (q15_t)0xc0c6,
+ (q15_t)0x3607, (q15_t)0xc0c8, (q15_t)0x35fa, (q15_t)0xc0ca, (q15_t)0x35ee, (q15_t)0xc0cc, (q15_t)0x35e2, (q15_t)0xc0ce,
+ (q15_t)0x35d5, (q15_t)0xc0d0, (q15_t)0x35c9, (q15_t)0xc0d2, (q15_t)0x35bc, (q15_t)0xc0d4, (q15_t)0x35b0, (q15_t)0xc0d6,
+ (q15_t)0x35a4, (q15_t)0xc0d8, (q15_t)0x3597, (q15_t)0xc0da, (q15_t)0x358b, (q15_t)0xc0dc, (q15_t)0x357e, (q15_t)0xc0de,
+ (q15_t)0x3572, (q15_t)0xc0e0, (q15_t)0x3566, (q15_t)0xc0e2, (q15_t)0x3559, (q15_t)0xc0e4, (q15_t)0x354d, (q15_t)0xc0e7,
+ (q15_t)0x3540, (q15_t)0xc0e9, (q15_t)0x3534, (q15_t)0xc0eb, (q15_t)0x3528, (q15_t)0xc0ed, (q15_t)0x351b, (q15_t)0xc0ef,
+ (q15_t)0x350f, (q15_t)0xc0f1, (q15_t)0x3503, (q15_t)0xc0f3, (q15_t)0x34f6, (q15_t)0xc0f6, (q15_t)0x34ea, (q15_t)0xc0f8,
+ (q15_t)0x34dd, (q15_t)0xc0fa, (q15_t)0x34d1, (q15_t)0xc0fc, (q15_t)0x34c5, (q15_t)0xc0fe, (q15_t)0x34b8, (q15_t)0xc100,
+ (q15_t)0x34ac, (q15_t)0xc103, (q15_t)0x34a0, (q15_t)0xc105, (q15_t)0x3493, (q15_t)0xc107, (q15_t)0x3487, (q15_t)0xc109,
+ (q15_t)0x347b, (q15_t)0xc10c, (q15_t)0x346e, (q15_t)0xc10e, (q15_t)0x3462, (q15_t)0xc110, (q15_t)0x3455, (q15_t)0xc113,
+ (q15_t)0x3449, (q15_t)0xc115, (q15_t)0x343d, (q15_t)0xc117, (q15_t)0x3430, (q15_t)0xc119, (q15_t)0x3424, (q15_t)0xc11c,
+ (q15_t)0x3418, (q15_t)0xc11e, (q15_t)0x340b, (q15_t)0xc120, (q15_t)0x33ff, (q15_t)0xc123, (q15_t)0x33f3, (q15_t)0xc125,
+ (q15_t)0x33e6, (q15_t)0xc128, (q15_t)0x33da, (q15_t)0xc12a, (q15_t)0x33ce, (q15_t)0xc12c, (q15_t)0x33c1, (q15_t)0xc12f,
+ (q15_t)0x33b5, (q15_t)0xc131, (q15_t)0x33a9, (q15_t)0xc134, (q15_t)0x339c, (q15_t)0xc136, (q15_t)0x3390, (q15_t)0xc138,
+ (q15_t)0x3384, (q15_t)0xc13b, (q15_t)0x3377, (q15_t)0xc13d, (q15_t)0x336b, (q15_t)0xc140, (q15_t)0x335f, (q15_t)0xc142,
+ (q15_t)0x3352, (q15_t)0xc145, (q15_t)0x3346, (q15_t)0xc147, (q15_t)0x333a, (q15_t)0xc14a, (q15_t)0x332d, (q15_t)0xc14c,
+ (q15_t)0x3321, (q15_t)0xc14f, (q15_t)0x3315, (q15_t)0xc151, (q15_t)0x3308, (q15_t)0xc154, (q15_t)0x32fc, (q15_t)0xc156,
+ (q15_t)0x32f0, (q15_t)0xc159, (q15_t)0x32e4, (q15_t)0xc15b, (q15_t)0x32d7, (q15_t)0xc15e, (q15_t)0x32cb, (q15_t)0xc161,
+ (q15_t)0x32bf, (q15_t)0xc163, (q15_t)0x32b2, (q15_t)0xc166, (q15_t)0x32a6, (q15_t)0xc168, (q15_t)0x329a, (q15_t)0xc16b,
+ (q15_t)0x328e, (q15_t)0xc16e, (q15_t)0x3281, (q15_t)0xc170, (q15_t)0x3275, (q15_t)0xc173, (q15_t)0x3269, (q15_t)0xc176,
+ (q15_t)0x325c, (q15_t)0xc178, (q15_t)0x3250, (q15_t)0xc17b, (q15_t)0x3244, (q15_t)0xc17e, (q15_t)0x3238, (q15_t)0xc180,
+ (q15_t)0x322b, (q15_t)0xc183, (q15_t)0x321f, (q15_t)0xc186, (q15_t)0x3213, (q15_t)0xc189, (q15_t)0x3207, (q15_t)0xc18b,
+ (q15_t)0x31fa, (q15_t)0xc18e, (q15_t)0x31ee, (q15_t)0xc191, (q15_t)0x31e2, (q15_t)0xc194, (q15_t)0x31d5, (q15_t)0xc196,
+ (q15_t)0x31c9, (q15_t)0xc199, (q15_t)0x31bd, (q15_t)0xc19c, (q15_t)0x31b1, (q15_t)0xc19f, (q15_t)0x31a4, (q15_t)0xc1a2,
+ (q15_t)0x3198, (q15_t)0xc1a4, (q15_t)0x318c, (q15_t)0xc1a7, (q15_t)0x3180, (q15_t)0xc1aa, (q15_t)0x3174, (q15_t)0xc1ad,
+ (q15_t)0x3167, (q15_t)0xc1b0, (q15_t)0x315b, (q15_t)0xc1b3, (q15_t)0x314f, (q15_t)0xc1b6, (q15_t)0x3143, (q15_t)0xc1b8,
+ (q15_t)0x3136, (q15_t)0xc1bb, (q15_t)0x312a, (q15_t)0xc1be, (q15_t)0x311e, (q15_t)0xc1c1, (q15_t)0x3112, (q15_t)0xc1c4,
+ (q15_t)0x3105, (q15_t)0xc1c7, (q15_t)0x30f9, (q15_t)0xc1ca, (q15_t)0x30ed, (q15_t)0xc1cd, (q15_t)0x30e1, (q15_t)0xc1d0,
+ (q15_t)0x30d5, (q15_t)0xc1d3, (q15_t)0x30c8, (q15_t)0xc1d6, (q15_t)0x30bc, (q15_t)0xc1d9, (q15_t)0x30b0, (q15_t)0xc1dc,
+ (q15_t)0x30a4, (q15_t)0xc1df, (q15_t)0x3098, (q15_t)0xc1e2, (q15_t)0x308b, (q15_t)0xc1e5, (q15_t)0x307f, (q15_t)0xc1e8,
+ (q15_t)0x3073, (q15_t)0xc1eb, (q15_t)0x3067, (q15_t)0xc1ee, (q15_t)0x305b, (q15_t)0xc1f1, (q15_t)0x304e, (q15_t)0xc1f4,
+ (q15_t)0x3042, (q15_t)0xc1f7, (q15_t)0x3036, (q15_t)0xc1fa, (q15_t)0x302a, (q15_t)0xc1fd, (q15_t)0x301e, (q15_t)0xc201,
+ (q15_t)0x3012, (q15_t)0xc204, (q15_t)0x3005, (q15_t)0xc207, (q15_t)0x2ff9, (q15_t)0xc20a, (q15_t)0x2fed, (q15_t)0xc20d,
+ (q15_t)0x2fe1, (q15_t)0xc210, (q15_t)0x2fd5, (q15_t)0xc213, (q15_t)0x2fc9, (q15_t)0xc217, (q15_t)0x2fbc, (q15_t)0xc21a,
+ (q15_t)0x2fb0, (q15_t)0xc21d, (q15_t)0x2fa4, (q15_t)0xc220, (q15_t)0x2f98, (q15_t)0xc223, (q15_t)0x2f8c, (q15_t)0xc227,
+ (q15_t)0x2f80, (q15_t)0xc22a, (q15_t)0x2f74, (q15_t)0xc22d, (q15_t)0x2f67, (q15_t)0xc230, (q15_t)0x2f5b, (q15_t)0xc234,
+ (q15_t)0x2f4f, (q15_t)0xc237, (q15_t)0x2f43, (q15_t)0xc23a, (q15_t)0x2f37, (q15_t)0xc23e, (q15_t)0x2f2b, (q15_t)0xc241,
+ (q15_t)0x2f1f, (q15_t)0xc244, (q15_t)0x2f13, (q15_t)0xc247, (q15_t)0x2f06, (q15_t)0xc24b, (q15_t)0x2efa, (q15_t)0xc24e,
+ (q15_t)0x2eee, (q15_t)0xc251, (q15_t)0x2ee2, (q15_t)0xc255, (q15_t)0x2ed6, (q15_t)0xc258, (q15_t)0x2eca, (q15_t)0xc25c,
+ (q15_t)0x2ebe, (q15_t)0xc25f, (q15_t)0x2eb2, (q15_t)0xc262, (q15_t)0x2ea6, (q15_t)0xc266, (q15_t)0x2e99, (q15_t)0xc269,
+ (q15_t)0x2e8d, (q15_t)0xc26d, (q15_t)0x2e81, (q15_t)0xc270, (q15_t)0x2e75, (q15_t)0xc273, (q15_t)0x2e69, (q15_t)0xc277,
+ (q15_t)0x2e5d, (q15_t)0xc27a, (q15_t)0x2e51, (q15_t)0xc27e, (q15_t)0x2e45, (q15_t)0xc281, (q15_t)0x2e39, (q15_t)0xc285,
+ (q15_t)0x2e2d, (q15_t)0xc288, (q15_t)0x2e21, (q15_t)0xc28c, (q15_t)0x2e15, (q15_t)0xc28f, (q15_t)0x2e09, (q15_t)0xc293,
+ (q15_t)0x2dfc, (q15_t)0xc296, (q15_t)0x2df0, (q15_t)0xc29a, (q15_t)0x2de4, (q15_t)0xc29d, (q15_t)0x2dd8, (q15_t)0xc2a1,
+ (q15_t)0x2dcc, (q15_t)0xc2a5, (q15_t)0x2dc0, (q15_t)0xc2a8, (q15_t)0x2db4, (q15_t)0xc2ac, (q15_t)0x2da8, (q15_t)0xc2af,
+ (q15_t)0x2d9c, (q15_t)0xc2b3, (q15_t)0x2d90, (q15_t)0xc2b7, (q15_t)0x2d84, (q15_t)0xc2ba, (q15_t)0x2d78, (q15_t)0xc2be,
+ (q15_t)0x2d6c, (q15_t)0xc2c1, (q15_t)0x2d60, (q15_t)0xc2c5, (q15_t)0x2d54, (q15_t)0xc2c9, (q15_t)0x2d48, (q15_t)0xc2cc,
+ (q15_t)0x2d3c, (q15_t)0xc2d0, (q15_t)0x2d30, (q15_t)0xc2d4, (q15_t)0x2d24, (q15_t)0xc2d8, (q15_t)0x2d18, (q15_t)0xc2db,
+ (q15_t)0x2d0c, (q15_t)0xc2df, (q15_t)0x2d00, (q15_t)0xc2e3, (q15_t)0x2cf4, (q15_t)0xc2e6, (q15_t)0x2ce8, (q15_t)0xc2ea,
+ (q15_t)0x2cdc, (q15_t)0xc2ee, (q15_t)0x2cd0, (q15_t)0xc2f2, (q15_t)0x2cc4, (q15_t)0xc2f5, (q15_t)0x2cb8, (q15_t)0xc2f9,
+ (q15_t)0x2cac, (q15_t)0xc2fd, (q15_t)0x2ca0, (q15_t)0xc301, (q15_t)0x2c94, (q15_t)0xc305, (q15_t)0x2c88, (q15_t)0xc308,
+ (q15_t)0x2c7c, (q15_t)0xc30c, (q15_t)0x2c70, (q15_t)0xc310, (q15_t)0x2c64, (q15_t)0xc314, (q15_t)0x2c58, (q15_t)0xc318,
+ (q15_t)0x2c4c, (q15_t)0xc31c, (q15_t)0x2c40, (q15_t)0xc320, (q15_t)0x2c34, (q15_t)0xc323, (q15_t)0x2c28, (q15_t)0xc327,
+ (q15_t)0x2c1c, (q15_t)0xc32b, (q15_t)0x2c10, (q15_t)0xc32f, (q15_t)0x2c05, (q15_t)0xc333, (q15_t)0x2bf9, (q15_t)0xc337,
+ (q15_t)0x2bed, (q15_t)0xc33b, (q15_t)0x2be1, (q15_t)0xc33f, (q15_t)0x2bd5, (q15_t)0xc343, (q15_t)0x2bc9, (q15_t)0xc347,
+ (q15_t)0x2bbd, (q15_t)0xc34b, (q15_t)0x2bb1, (q15_t)0xc34f, (q15_t)0x2ba5, (q15_t)0xc353, (q15_t)0x2b99, (q15_t)0xc357,
+ (q15_t)0x2b8d, (q15_t)0xc35b, (q15_t)0x2b81, (q15_t)0xc35f, (q15_t)0x2b75, (q15_t)0xc363, (q15_t)0x2b6a, (q15_t)0xc367,
+ (q15_t)0x2b5e, (q15_t)0xc36b, (q15_t)0x2b52, (q15_t)0xc36f, (q15_t)0x2b46, (q15_t)0xc373, (q15_t)0x2b3a, (q15_t)0xc377,
+ (q15_t)0x2b2e, (q15_t)0xc37b, (q15_t)0x2b22, (q15_t)0xc37f, (q15_t)0x2b16, (q15_t)0xc383, (q15_t)0x2b0a, (q15_t)0xc387,
+ (q15_t)0x2aff, (q15_t)0xc38c, (q15_t)0x2af3, (q15_t)0xc390, (q15_t)0x2ae7, (q15_t)0xc394, (q15_t)0x2adb, (q15_t)0xc398,
+ (q15_t)0x2acf, (q15_t)0xc39c, (q15_t)0x2ac3, (q15_t)0xc3a0, (q15_t)0x2ab7, (q15_t)0xc3a5, (q15_t)0x2aac, (q15_t)0xc3a9,
+ (q15_t)0x2aa0, (q15_t)0xc3ad, (q15_t)0x2a94, (q15_t)0xc3b1, (q15_t)0x2a88, (q15_t)0xc3b5, (q15_t)0x2a7c, (q15_t)0xc3ba,
+ (q15_t)0x2a70, (q15_t)0xc3be, (q15_t)0x2a65, (q15_t)0xc3c2, (q15_t)0x2a59, (q15_t)0xc3c6, (q15_t)0x2a4d, (q15_t)0xc3ca,
+ (q15_t)0x2a41, (q15_t)0xc3cf, (q15_t)0x2a35, (q15_t)0xc3d3, (q15_t)0x2a29, (q15_t)0xc3d7, (q15_t)0x2a1e, (q15_t)0xc3dc,
+ (q15_t)0x2a12, (q15_t)0xc3e0, (q15_t)0x2a06, (q15_t)0xc3e4, (q15_t)0x29fa, (q15_t)0xc3e9, (q15_t)0x29ee, (q15_t)0xc3ed,
+ (q15_t)0x29e3, (q15_t)0xc3f1, (q15_t)0x29d7, (q15_t)0xc3f6, (q15_t)0x29cb, (q15_t)0xc3fa, (q15_t)0x29bf, (q15_t)0xc3fe,
+ (q15_t)0x29b4, (q15_t)0xc403, (q15_t)0x29a8, (q15_t)0xc407, (q15_t)0x299c, (q15_t)0xc40b, (q15_t)0x2990, (q15_t)0xc410,
+ (q15_t)0x2984, (q15_t)0xc414, (q15_t)0x2979, (q15_t)0xc419, (q15_t)0x296d, (q15_t)0xc41d, (q15_t)0x2961, (q15_t)0xc422,
+ (q15_t)0x2955, (q15_t)0xc426, (q15_t)0x294a, (q15_t)0xc42a, (q15_t)0x293e, (q15_t)0xc42f, (q15_t)0x2932, (q15_t)0xc433,
+ (q15_t)0x2926, (q15_t)0xc438, (q15_t)0x291b, (q15_t)0xc43c, (q15_t)0x290f, (q15_t)0xc441, (q15_t)0x2903, (q15_t)0xc445,
+ (q15_t)0x28f7, (q15_t)0xc44a, (q15_t)0x28ec, (q15_t)0xc44e, (q15_t)0x28e0, (q15_t)0xc453, (q15_t)0x28d4, (q15_t)0xc457,
+ (q15_t)0x28c9, (q15_t)0xc45c, (q15_t)0x28bd, (q15_t)0xc461, (q15_t)0x28b1, (q15_t)0xc465, (q15_t)0x28a5, (q15_t)0xc46a,
+ (q15_t)0x289a, (q15_t)0xc46e, (q15_t)0x288e, (q15_t)0xc473, (q15_t)0x2882, (q15_t)0xc478, (q15_t)0x2877, (q15_t)0xc47c,
+ (q15_t)0x286b, (q15_t)0xc481, (q15_t)0x285f, (q15_t)0xc485, (q15_t)0x2854, (q15_t)0xc48a, (q15_t)0x2848, (q15_t)0xc48f,
+ (q15_t)0x283c, (q15_t)0xc493, (q15_t)0x2831, (q15_t)0xc498, (q15_t)0x2825, (q15_t)0xc49d, (q15_t)0x2819, (q15_t)0xc4a1,
+ (q15_t)0x280e, (q15_t)0xc4a6, (q15_t)0x2802, (q15_t)0xc4ab, (q15_t)0x27f6, (q15_t)0xc4b0, (q15_t)0x27eb, (q15_t)0xc4b4,
+ (q15_t)0x27df, (q15_t)0xc4b9, (q15_t)0x27d3, (q15_t)0xc4be, (q15_t)0x27c8, (q15_t)0xc4c2, (q15_t)0x27bc, (q15_t)0xc4c7,
+ (q15_t)0x27b1, (q15_t)0xc4cc, (q15_t)0x27a5, (q15_t)0xc4d1, (q15_t)0x2799, (q15_t)0xc4d6, (q15_t)0x278e, (q15_t)0xc4da,
+ (q15_t)0x2782, (q15_t)0xc4df, (q15_t)0x2777, (q15_t)0xc4e4, (q15_t)0x276b, (q15_t)0xc4e9, (q15_t)0x275f, (q15_t)0xc4ee,
+ (q15_t)0x2754, (q15_t)0xc4f2, (q15_t)0x2748, (q15_t)0xc4f7, (q15_t)0x273d, (q15_t)0xc4fc, (q15_t)0x2731, (q15_t)0xc501,
+ (q15_t)0x2725, (q15_t)0xc506, (q15_t)0x271a, (q15_t)0xc50b, (q15_t)0x270e, (q15_t)0xc510, (q15_t)0x2703, (q15_t)0xc515,
+ (q15_t)0x26f7, (q15_t)0xc51a, (q15_t)0x26ec, (q15_t)0xc51e, (q15_t)0x26e0, (q15_t)0xc523, (q15_t)0x26d4, (q15_t)0xc528,
+ (q15_t)0x26c9, (q15_t)0xc52d, (q15_t)0x26bd, (q15_t)0xc532, (q15_t)0x26b2, (q15_t)0xc537, (q15_t)0x26a6, (q15_t)0xc53c,
+ (q15_t)0x269b, (q15_t)0xc541, (q15_t)0x268f, (q15_t)0xc546, (q15_t)0x2684, (q15_t)0xc54b, (q15_t)0x2678, (q15_t)0xc550,
+ (q15_t)0x266d, (q15_t)0xc555, (q15_t)0x2661, (q15_t)0xc55a, (q15_t)0x2656, (q15_t)0xc55f, (q15_t)0x264a, (q15_t)0xc564,
+ (q15_t)0x263f, (q15_t)0xc569, (q15_t)0x2633, (q15_t)0xc56e, (q15_t)0x2628, (q15_t)0xc573, (q15_t)0x261c, (q15_t)0xc578,
+ (q15_t)0x2611, (q15_t)0xc57e, (q15_t)0x2605, (q15_t)0xc583, (q15_t)0x25fa, (q15_t)0xc588, (q15_t)0x25ee, (q15_t)0xc58d,
+ (q15_t)0x25e3, (q15_t)0xc592, (q15_t)0x25d7, (q15_t)0xc597, (q15_t)0x25cc, (q15_t)0xc59c, (q15_t)0x25c0, (q15_t)0xc5a1,
+ (q15_t)0x25b5, (q15_t)0xc5a7, (q15_t)0x25a9, (q15_t)0xc5ac, (q15_t)0x259e, (q15_t)0xc5b1, (q15_t)0x2592, (q15_t)0xc5b6,
+ (q15_t)0x2587, (q15_t)0xc5bb, (q15_t)0x257c, (q15_t)0xc5c1, (q15_t)0x2570, (q15_t)0xc5c6, (q15_t)0x2565, (q15_t)0xc5cb,
+ (q15_t)0x2559, (q15_t)0xc5d0, (q15_t)0x254e, (q15_t)0xc5d5, (q15_t)0x2542, (q15_t)0xc5db, (q15_t)0x2537, (q15_t)0xc5e0,
+ (q15_t)0x252c, (q15_t)0xc5e5, (q15_t)0x2520, (q15_t)0xc5ea, (q15_t)0x2515, (q15_t)0xc5f0, (q15_t)0x2509, (q15_t)0xc5f5,
+ (q15_t)0x24fe, (q15_t)0xc5fa, (q15_t)0x24f3, (q15_t)0xc600, (q15_t)0x24e7, (q15_t)0xc605, (q15_t)0x24dc, (q15_t)0xc60a,
+ (q15_t)0x24d0, (q15_t)0xc610, (q15_t)0x24c5, (q15_t)0xc615, (q15_t)0x24ba, (q15_t)0xc61a, (q15_t)0x24ae, (q15_t)0xc620,
+ (q15_t)0x24a3, (q15_t)0xc625, (q15_t)0x2498, (q15_t)0xc62a, (q15_t)0x248c, (q15_t)0xc630, (q15_t)0x2481, (q15_t)0xc635,
+ (q15_t)0x2476, (q15_t)0xc63b, (q15_t)0x246a, (q15_t)0xc640, (q15_t)0x245f, (q15_t)0xc645, (q15_t)0x2454, (q15_t)0xc64b,
+ (q15_t)0x2448, (q15_t)0xc650, (q15_t)0x243d, (q15_t)0xc656, (q15_t)0x2432, (q15_t)0xc65b, (q15_t)0x2426, (q15_t)0xc661,
+ (q15_t)0x241b, (q15_t)0xc666, (q15_t)0x2410, (q15_t)0xc66c, (q15_t)0x2404, (q15_t)0xc671, (q15_t)0x23f9, (q15_t)0xc677,
+ (q15_t)0x23ee, (q15_t)0xc67c, (q15_t)0x23e2, (q15_t)0xc682, (q15_t)0x23d7, (q15_t)0xc687, (q15_t)0x23cc, (q15_t)0xc68d,
+ (q15_t)0x23c1, (q15_t)0xc692, (q15_t)0x23b5, (q15_t)0xc698, (q15_t)0x23aa, (q15_t)0xc69d, (q15_t)0x239f, (q15_t)0xc6a3,
+ (q15_t)0x2394, (q15_t)0xc6a8, (q15_t)0x2388, (q15_t)0xc6ae, (q15_t)0x237d, (q15_t)0xc6b4, (q15_t)0x2372, (q15_t)0xc6b9,
+ (q15_t)0x2367, (q15_t)0xc6bf, (q15_t)0x235b, (q15_t)0xc6c5, (q15_t)0x2350, (q15_t)0xc6ca, (q15_t)0x2345, (q15_t)0xc6d0,
+ (q15_t)0x233a, (q15_t)0xc6d5, (q15_t)0x232e, (q15_t)0xc6db, (q15_t)0x2323, (q15_t)0xc6e1, (q15_t)0x2318, (q15_t)0xc6e6,
+ (q15_t)0x230d, (q15_t)0xc6ec, (q15_t)0x2301, (q15_t)0xc6f2, (q15_t)0x22f6, (q15_t)0xc6f7, (q15_t)0x22eb, (q15_t)0xc6fd,
+ (q15_t)0x22e0, (q15_t)0xc703, (q15_t)0x22d5, (q15_t)0xc709, (q15_t)0x22ca, (q15_t)0xc70e, (q15_t)0x22be, (q15_t)0xc714,
+ (q15_t)0x22b3, (q15_t)0xc71a, (q15_t)0x22a8, (q15_t)0xc720, (q15_t)0x229d, (q15_t)0xc725, (q15_t)0x2292, (q15_t)0xc72b,
+ (q15_t)0x2287, (q15_t)0xc731, (q15_t)0x227b, (q15_t)0xc737, (q15_t)0x2270, (q15_t)0xc73d, (q15_t)0x2265, (q15_t)0xc742,
+ (q15_t)0x225a, (q15_t)0xc748, (q15_t)0x224f, (q15_t)0xc74e, (q15_t)0x2244, (q15_t)0xc754, (q15_t)0x2239, (q15_t)0xc75a,
+ (q15_t)0x222d, (q15_t)0xc75f, (q15_t)0x2222, (q15_t)0xc765, (q15_t)0x2217, (q15_t)0xc76b, (q15_t)0x220c, (q15_t)0xc771,
+ (q15_t)0x2201, (q15_t)0xc777, (q15_t)0x21f6, (q15_t)0xc77d, (q15_t)0x21eb, (q15_t)0xc783, (q15_t)0x21e0, (q15_t)0xc789,
+ (q15_t)0x21d5, (q15_t)0xc78f, (q15_t)0x21ca, (q15_t)0xc795, (q15_t)0x21be, (q15_t)0xc79a, (q15_t)0x21b3, (q15_t)0xc7a0,
+ (q15_t)0x21a8, (q15_t)0xc7a6, (q15_t)0x219d, (q15_t)0xc7ac, (q15_t)0x2192, (q15_t)0xc7b2, (q15_t)0x2187, (q15_t)0xc7b8,
+ (q15_t)0x217c, (q15_t)0xc7be, (q15_t)0x2171, (q15_t)0xc7c4, (q15_t)0x2166, (q15_t)0xc7ca, (q15_t)0x215b, (q15_t)0xc7d0,
+ (q15_t)0x2150, (q15_t)0xc7d6, (q15_t)0x2145, (q15_t)0xc7dc, (q15_t)0x213a, (q15_t)0xc7e2, (q15_t)0x212f, (q15_t)0xc7e8,
+ (q15_t)0x2124, (q15_t)0xc7ee, (q15_t)0x2119, (q15_t)0xc7f5, (q15_t)0x210e, (q15_t)0xc7fb, (q15_t)0x2103, (q15_t)0xc801,
+ (q15_t)0x20f8, (q15_t)0xc807, (q15_t)0x20ed, (q15_t)0xc80d, (q15_t)0x20e2, (q15_t)0xc813, (q15_t)0x20d7, (q15_t)0xc819,
+ (q15_t)0x20cc, (q15_t)0xc81f, (q15_t)0x20c1, (q15_t)0xc825, (q15_t)0x20b6, (q15_t)0xc82b, (q15_t)0x20ab, (q15_t)0xc832,
+ (q15_t)0x20a0, (q15_t)0xc838, (q15_t)0x2095, (q15_t)0xc83e, (q15_t)0x208a, (q15_t)0xc844, (q15_t)0x207f, (q15_t)0xc84a,
+ (q15_t)0x2074, (q15_t)0xc850, (q15_t)0x2069, (q15_t)0xc857, (q15_t)0x205e, (q15_t)0xc85d, (q15_t)0x2054, (q15_t)0xc863,
+ (q15_t)0x2049, (q15_t)0xc869, (q15_t)0x203e, (q15_t)0xc870, (q15_t)0x2033, (q15_t)0xc876, (q15_t)0x2028, (q15_t)0xc87c,
+ (q15_t)0x201d, (q15_t)0xc882, (q15_t)0x2012, (q15_t)0xc889, (q15_t)0x2007, (q15_t)0xc88f, (q15_t)0x1ffc, (q15_t)0xc895,
+ (q15_t)0x1ff1, (q15_t)0xc89b, (q15_t)0x1fe7, (q15_t)0xc8a2, (q15_t)0x1fdc, (q15_t)0xc8a8, (q15_t)0x1fd1, (q15_t)0xc8ae,
+ (q15_t)0x1fc6, (q15_t)0xc8b5, (q15_t)0x1fbb, (q15_t)0xc8bb, (q15_t)0x1fb0, (q15_t)0xc8c1, (q15_t)0x1fa5, (q15_t)0xc8c8,
+ (q15_t)0x1f9b, (q15_t)0xc8ce, (q15_t)0x1f90, (q15_t)0xc8d4, (q15_t)0x1f85, (q15_t)0xc8db, (q15_t)0x1f7a, (q15_t)0xc8e1,
+ (q15_t)0x1f6f, (q15_t)0xc8e8, (q15_t)0x1f65, (q15_t)0xc8ee, (q15_t)0x1f5a, (q15_t)0xc8f4, (q15_t)0x1f4f, (q15_t)0xc8fb,
+ (q15_t)0x1f44, (q15_t)0xc901, (q15_t)0x1f39, (q15_t)0xc908, (q15_t)0x1f2f, (q15_t)0xc90e, (q15_t)0x1f24, (q15_t)0xc915,
+ (q15_t)0x1f19, (q15_t)0xc91b, (q15_t)0x1f0e, (q15_t)0xc921, (q15_t)0x1f03, (q15_t)0xc928, (q15_t)0x1ef9, (q15_t)0xc92e,
+ (q15_t)0x1eee, (q15_t)0xc935, (q15_t)0x1ee3, (q15_t)0xc93b, (q15_t)0x1ed8, (q15_t)0xc942, (q15_t)0x1ece, (q15_t)0xc948,
+ (q15_t)0x1ec3, (q15_t)0xc94f, (q15_t)0x1eb8, (q15_t)0xc955, (q15_t)0x1ead, (q15_t)0xc95c, (q15_t)0x1ea3, (q15_t)0xc963,
+ (q15_t)0x1e98, (q15_t)0xc969, (q15_t)0x1e8d, (q15_t)0xc970, (q15_t)0x1e83, (q15_t)0xc976, (q15_t)0x1e78, (q15_t)0xc97d,
+ (q15_t)0x1e6d, (q15_t)0xc983, (q15_t)0x1e62, (q15_t)0xc98a, (q15_t)0x1e58, (q15_t)0xc991, (q15_t)0x1e4d, (q15_t)0xc997,
+ (q15_t)0x1e42, (q15_t)0xc99e, (q15_t)0x1e38, (q15_t)0xc9a4, (q15_t)0x1e2d, (q15_t)0xc9ab, (q15_t)0x1e22, (q15_t)0xc9b2,
+ (q15_t)0x1e18, (q15_t)0xc9b8, (q15_t)0x1e0d, (q15_t)0xc9bf, (q15_t)0x1e02, (q15_t)0xc9c6, (q15_t)0x1df8, (q15_t)0xc9cc,
+ (q15_t)0x1ded, (q15_t)0xc9d3, (q15_t)0x1de2, (q15_t)0xc9da, (q15_t)0x1dd8, (q15_t)0xc9e0, (q15_t)0x1dcd, (q15_t)0xc9e7,
+ (q15_t)0x1dc3, (q15_t)0xc9ee, (q15_t)0x1db8, (q15_t)0xc9f5, (q15_t)0x1dad, (q15_t)0xc9fb, (q15_t)0x1da3, (q15_t)0xca02,
+ (q15_t)0x1d98, (q15_t)0xca09, (q15_t)0x1d8e, (q15_t)0xca10, (q15_t)0x1d83, (q15_t)0xca16, (q15_t)0x1d78, (q15_t)0xca1d,
+ (q15_t)0x1d6e, (q15_t)0xca24, (q15_t)0x1d63, (q15_t)0xca2b, (q15_t)0x1d59, (q15_t)0xca32, (q15_t)0x1d4e, (q15_t)0xca38,
+ (q15_t)0x1d44, (q15_t)0xca3f, (q15_t)0x1d39, (q15_t)0xca46, (q15_t)0x1d2e, (q15_t)0xca4d, (q15_t)0x1d24, (q15_t)0xca54,
+ (q15_t)0x1d19, (q15_t)0xca5b, (q15_t)0x1d0f, (q15_t)0xca61, (q15_t)0x1d04, (q15_t)0xca68, (q15_t)0x1cfa, (q15_t)0xca6f,
+ (q15_t)0x1cef, (q15_t)0xca76, (q15_t)0x1ce5, (q15_t)0xca7d, (q15_t)0x1cda, (q15_t)0xca84, (q15_t)0x1cd0, (q15_t)0xca8b,
+ (q15_t)0x1cc5, (q15_t)0xca92, (q15_t)0x1cbb, (q15_t)0xca99, (q15_t)0x1cb0, (q15_t)0xca9f, (q15_t)0x1ca6, (q15_t)0xcaa6,
+ (q15_t)0x1c9b, (q15_t)0xcaad, (q15_t)0x1c91, (q15_t)0xcab4, (q15_t)0x1c86, (q15_t)0xcabb, (q15_t)0x1c7c, (q15_t)0xcac2,
+ (q15_t)0x1c72, (q15_t)0xcac9, (q15_t)0x1c67, (q15_t)0xcad0, (q15_t)0x1c5d, (q15_t)0xcad7, (q15_t)0x1c52, (q15_t)0xcade,
+ (q15_t)0x1c48, (q15_t)0xcae5, (q15_t)0x1c3d, (q15_t)0xcaec, (q15_t)0x1c33, (q15_t)0xcaf3, (q15_t)0x1c29, (q15_t)0xcafa,
+ (q15_t)0x1c1e, (q15_t)0xcb01, (q15_t)0x1c14, (q15_t)0xcb08, (q15_t)0x1c09, (q15_t)0xcb0f, (q15_t)0x1bff, (q15_t)0xcb16,
+ (q15_t)0x1bf5, (q15_t)0xcb1e, (q15_t)0x1bea, (q15_t)0xcb25, (q15_t)0x1be0, (q15_t)0xcb2c, (q15_t)0x1bd5, (q15_t)0xcb33,
+ (q15_t)0x1bcb, (q15_t)0xcb3a, (q15_t)0x1bc1, (q15_t)0xcb41, (q15_t)0x1bb6, (q15_t)0xcb48, (q15_t)0x1bac, (q15_t)0xcb4f,
+ (q15_t)0x1ba2, (q15_t)0xcb56, (q15_t)0x1b97, (q15_t)0xcb5e, (q15_t)0x1b8d, (q15_t)0xcb65, (q15_t)0x1b83, (q15_t)0xcb6c,
+ (q15_t)0x1b78, (q15_t)0xcb73, (q15_t)0x1b6e, (q15_t)0xcb7a, (q15_t)0x1b64, (q15_t)0xcb81, (q15_t)0x1b59, (q15_t)0xcb89,
+ (q15_t)0x1b4f, (q15_t)0xcb90, (q15_t)0x1b45, (q15_t)0xcb97, (q15_t)0x1b3b, (q15_t)0xcb9e, (q15_t)0x1b30, (q15_t)0xcba5,
+ (q15_t)0x1b26, (q15_t)0xcbad, (q15_t)0x1b1c, (q15_t)0xcbb4, (q15_t)0x1b11, (q15_t)0xcbbb, (q15_t)0x1b07, (q15_t)0xcbc2,
+ (q15_t)0x1afd, (q15_t)0xcbca, (q15_t)0x1af3, (q15_t)0xcbd1, (q15_t)0x1ae8, (q15_t)0xcbd8, (q15_t)0x1ade, (q15_t)0xcbe0,
+ (q15_t)0x1ad4, (q15_t)0xcbe7, (q15_t)0x1aca, (q15_t)0xcbee, (q15_t)0x1abf, (q15_t)0xcbf5, (q15_t)0x1ab5, (q15_t)0xcbfd,
+ (q15_t)0x1aab, (q15_t)0xcc04, (q15_t)0x1aa1, (q15_t)0xcc0b, (q15_t)0x1a97, (q15_t)0xcc13, (q15_t)0x1a8c, (q15_t)0xcc1a,
+ (q15_t)0x1a82, (q15_t)0xcc21, (q15_t)0x1a78, (q15_t)0xcc29, (q15_t)0x1a6e, (q15_t)0xcc30, (q15_t)0x1a64, (q15_t)0xcc38,
+ (q15_t)0x1a5a, (q15_t)0xcc3f, (q15_t)0x1a4f, (q15_t)0xcc46, (q15_t)0x1a45, (q15_t)0xcc4e, (q15_t)0x1a3b, (q15_t)0xcc55,
+ (q15_t)0x1a31, (q15_t)0xcc5d, (q15_t)0x1a27, (q15_t)0xcc64, (q15_t)0x1a1d, (q15_t)0xcc6b, (q15_t)0x1a13, (q15_t)0xcc73,
+ (q15_t)0x1a08, (q15_t)0xcc7a, (q15_t)0x19fe, (q15_t)0xcc82, (q15_t)0x19f4, (q15_t)0xcc89, (q15_t)0x19ea, (q15_t)0xcc91,
+ (q15_t)0x19e0, (q15_t)0xcc98, (q15_t)0x19d6, (q15_t)0xcca0, (q15_t)0x19cc, (q15_t)0xcca7, (q15_t)0x19c2, (q15_t)0xccaf,
+ (q15_t)0x19b8, (q15_t)0xccb6, (q15_t)0x19ae, (q15_t)0xccbe, (q15_t)0x19a4, (q15_t)0xccc5, (q15_t)0x199a, (q15_t)0xcccd,
+ (q15_t)0x198f, (q15_t)0xccd4, (q15_t)0x1985, (q15_t)0xccdc, (q15_t)0x197b, (q15_t)0xcce3, (q15_t)0x1971, (q15_t)0xcceb,
+ (q15_t)0x1967, (q15_t)0xccf3, (q15_t)0x195d, (q15_t)0xccfa, (q15_t)0x1953, (q15_t)0xcd02, (q15_t)0x1949, (q15_t)0xcd09,
+ (q15_t)0x193f, (q15_t)0xcd11, (q15_t)0x1935, (q15_t)0xcd19, (q15_t)0x192b, (q15_t)0xcd20, (q15_t)0x1921, (q15_t)0xcd28,
+ (q15_t)0x1917, (q15_t)0xcd30, (q15_t)0x190d, (q15_t)0xcd37, (q15_t)0x1903, (q15_t)0xcd3f, (q15_t)0x18f9, (q15_t)0xcd46,
+ (q15_t)0x18ef, (q15_t)0xcd4e, (q15_t)0x18e6, (q15_t)0xcd56, (q15_t)0x18dc, (q15_t)0xcd5d, (q15_t)0x18d2, (q15_t)0xcd65,
+ (q15_t)0x18c8, (q15_t)0xcd6d, (q15_t)0x18be, (q15_t)0xcd75, (q15_t)0x18b4, (q15_t)0xcd7c, (q15_t)0x18aa, (q15_t)0xcd84,
+ (q15_t)0x18a0, (q15_t)0xcd8c, (q15_t)0x1896, (q15_t)0xcd93, (q15_t)0x188c, (q15_t)0xcd9b, (q15_t)0x1882, (q15_t)0xcda3,
+ (q15_t)0x1878, (q15_t)0xcdab, (q15_t)0x186f, (q15_t)0xcdb2, (q15_t)0x1865, (q15_t)0xcdba, (q15_t)0x185b, (q15_t)0xcdc2,
+ (q15_t)0x1851, (q15_t)0xcdca, (q15_t)0x1847, (q15_t)0xcdd2, (q15_t)0x183d, (q15_t)0xcdd9, (q15_t)0x1833, (q15_t)0xcde1,
+ (q15_t)0x182a, (q15_t)0xcde9, (q15_t)0x1820, (q15_t)0xcdf1, (q15_t)0x1816, (q15_t)0xcdf9, (q15_t)0x180c, (q15_t)0xce01,
+ (q15_t)0x1802, (q15_t)0xce08, (q15_t)0x17f8, (q15_t)0xce10, (q15_t)0x17ef, (q15_t)0xce18, (q15_t)0x17e5, (q15_t)0xce20,
+ (q15_t)0x17db, (q15_t)0xce28, (q15_t)0x17d1, (q15_t)0xce30, (q15_t)0x17c8, (q15_t)0xce38, (q15_t)0x17be, (q15_t)0xce40,
+ (q15_t)0x17b4, (q15_t)0xce47, (q15_t)0x17aa, (q15_t)0xce4f, (q15_t)0x17a0, (q15_t)0xce57, (q15_t)0x1797, (q15_t)0xce5f,
+ (q15_t)0x178d, (q15_t)0xce67, (q15_t)0x1783, (q15_t)0xce6f, (q15_t)0x177a, (q15_t)0xce77, (q15_t)0x1770, (q15_t)0xce7f,
+ (q15_t)0x1766, (q15_t)0xce87, (q15_t)0x175c, (q15_t)0xce8f, (q15_t)0x1753, (q15_t)0xce97, (q15_t)0x1749, (q15_t)0xce9f,
+ (q15_t)0x173f, (q15_t)0xcea7, (q15_t)0x1736, (q15_t)0xceaf, (q15_t)0x172c, (q15_t)0xceb7, (q15_t)0x1722, (q15_t)0xcebf,
+ (q15_t)0x1719, (q15_t)0xcec7, (q15_t)0x170f, (q15_t)0xcecf, (q15_t)0x1705, (q15_t)0xced7, (q15_t)0x16fc, (q15_t)0xcedf,
+ (q15_t)0x16f2, (q15_t)0xcee7, (q15_t)0x16e8, (q15_t)0xceef, (q15_t)0x16df, (q15_t)0xcef7, (q15_t)0x16d5, (q15_t)0xceff,
+ (q15_t)0x16cb, (q15_t)0xcf07, (q15_t)0x16c2, (q15_t)0xcf10, (q15_t)0x16b8, (q15_t)0xcf18, (q15_t)0x16af, (q15_t)0xcf20,
+ (q15_t)0x16a5, (q15_t)0xcf28, (q15_t)0x169b, (q15_t)0xcf30, (q15_t)0x1692, (q15_t)0xcf38, (q15_t)0x1688, (q15_t)0xcf40,
+ (q15_t)0x167f, (q15_t)0xcf48, (q15_t)0x1675, (q15_t)0xcf51, (q15_t)0x166c, (q15_t)0xcf59, (q15_t)0x1662, (q15_t)0xcf61,
+ (q15_t)0x1659, (q15_t)0xcf69, (q15_t)0x164f, (q15_t)0xcf71, (q15_t)0x1645, (q15_t)0xcf79, (q15_t)0x163c, (q15_t)0xcf82,
+ (q15_t)0x1632, (q15_t)0xcf8a, (q15_t)0x1629, (q15_t)0xcf92, (q15_t)0x161f, (q15_t)0xcf9a, (q15_t)0x1616, (q15_t)0xcfa3,
+ (q15_t)0x160c, (q15_t)0xcfab, (q15_t)0x1603, (q15_t)0xcfb3, (q15_t)0x15f9, (q15_t)0xcfbb, (q15_t)0x15f0, (q15_t)0xcfc4,
+ (q15_t)0x15e6, (q15_t)0xcfcc, (q15_t)0x15dd, (q15_t)0xcfd4, (q15_t)0x15d4, (q15_t)0xcfdc, (q15_t)0x15ca, (q15_t)0xcfe5,
+ (q15_t)0x15c1, (q15_t)0xcfed, (q15_t)0x15b7, (q15_t)0xcff5, (q15_t)0x15ae, (q15_t)0xcffe, (q15_t)0x15a4, (q15_t)0xd006,
+ (q15_t)0x159b, (q15_t)0xd00e, (q15_t)0x1592, (q15_t)0xd016, (q15_t)0x1588, (q15_t)0xd01f, (q15_t)0x157f, (q15_t)0xd027,
+ (q15_t)0x1575, (q15_t)0xd030, (q15_t)0x156c, (q15_t)0xd038, (q15_t)0x1563, (q15_t)0xd040, (q15_t)0x1559, (q15_t)0xd049,
+ (q15_t)0x1550, (q15_t)0xd051, (q15_t)0x1547, (q15_t)0xd059, (q15_t)0x153d, (q15_t)0xd062, (q15_t)0x1534, (q15_t)0xd06a,
+ (q15_t)0x152a, (q15_t)0xd073, (q15_t)0x1521, (q15_t)0xd07b, (q15_t)0x1518, (q15_t)0xd083, (q15_t)0x150e, (q15_t)0xd08c,
+ (q15_t)0x1505, (q15_t)0xd094, (q15_t)0x14fc, (q15_t)0xd09d, (q15_t)0x14f3, (q15_t)0xd0a5, (q15_t)0x14e9, (q15_t)0xd0ae,
+ (q15_t)0x14e0, (q15_t)0xd0b6, (q15_t)0x14d7, (q15_t)0xd0bf, (q15_t)0x14cd, (q15_t)0xd0c7, (q15_t)0x14c4, (q15_t)0xd0d0,
+ (q15_t)0x14bb, (q15_t)0xd0d8, (q15_t)0x14b2, (q15_t)0xd0e0, (q15_t)0x14a8, (q15_t)0xd0e9, (q15_t)0x149f, (q15_t)0xd0f2,
+ (q15_t)0x1496, (q15_t)0xd0fa, (q15_t)0x148d, (q15_t)0xd103, (q15_t)0x1483, (q15_t)0xd10b, (q15_t)0x147a, (q15_t)0xd114,
+ (q15_t)0x1471, (q15_t)0xd11c, (q15_t)0x1468, (q15_t)0xd125, (q15_t)0x145f, (q15_t)0xd12d, (q15_t)0x1455, (q15_t)0xd136,
+ (q15_t)0x144c, (q15_t)0xd13e, (q15_t)0x1443, (q15_t)0xd147, (q15_t)0x143a, (q15_t)0xd150, (q15_t)0x1431, (q15_t)0xd158,
+ (q15_t)0x1428, (q15_t)0xd161, (q15_t)0x141e, (q15_t)0xd169, (q15_t)0x1415, (q15_t)0xd172, (q15_t)0x140c, (q15_t)0xd17b,
+ (q15_t)0x1403, (q15_t)0xd183, (q15_t)0x13fa, (q15_t)0xd18c, (q15_t)0x13f1, (q15_t)0xd195, (q15_t)0x13e8, (q15_t)0xd19d,
+ (q15_t)0x13df, (q15_t)0xd1a6, (q15_t)0x13d5, (q15_t)0xd1af, (q15_t)0x13cc, (q15_t)0xd1b7, (q15_t)0x13c3, (q15_t)0xd1c0,
+ (q15_t)0x13ba, (q15_t)0xd1c9, (q15_t)0x13b1, (q15_t)0xd1d1, (q15_t)0x13a8, (q15_t)0xd1da, (q15_t)0x139f, (q15_t)0xd1e3,
+ (q15_t)0x1396, (q15_t)0xd1eb, (q15_t)0x138d, (q15_t)0xd1f4, (q15_t)0x1384, (q15_t)0xd1fd, (q15_t)0x137b, (q15_t)0xd206,
+ (q15_t)0x1372, (q15_t)0xd20e, (q15_t)0x1369, (q15_t)0xd217, (q15_t)0x1360, (q15_t)0xd220, (q15_t)0x1357, (q15_t)0xd229,
+ (q15_t)0x134e, (q15_t)0xd231, (q15_t)0x1345, (q15_t)0xd23a, (q15_t)0x133c, (q15_t)0xd243, (q15_t)0x1333, (q15_t)0xd24c,
+ (q15_t)0x132a, (q15_t)0xd255, (q15_t)0x1321, (q15_t)0xd25d, (q15_t)0x1318, (q15_t)0xd266, (q15_t)0x130f, (q15_t)0xd26f,
+ (q15_t)0x1306, (q15_t)0xd278, (q15_t)0x12fd, (q15_t)0xd281, (q15_t)0x12f4, (q15_t)0xd28a, (q15_t)0x12eb, (q15_t)0xd292,
+ (q15_t)0x12e2, (q15_t)0xd29b, (q15_t)0x12d9, (q15_t)0xd2a4, (q15_t)0x12d1, (q15_t)0xd2ad, (q15_t)0x12c8, (q15_t)0xd2b6,
+ (q15_t)0x12bf, (q15_t)0xd2bf, (q15_t)0x12b6, (q15_t)0xd2c8, (q15_t)0x12ad, (q15_t)0xd2d1, (q15_t)0x12a4, (q15_t)0xd2d9,
+ (q15_t)0x129b, (q15_t)0xd2e2, (q15_t)0x1292, (q15_t)0xd2eb, (q15_t)0x128a, (q15_t)0xd2f4, (q15_t)0x1281, (q15_t)0xd2fd,
+ (q15_t)0x1278, (q15_t)0xd306, (q15_t)0x126f, (q15_t)0xd30f, (q15_t)0x1266, (q15_t)0xd318, (q15_t)0x125d, (q15_t)0xd321,
+ (q15_t)0x1255, (q15_t)0xd32a, (q15_t)0x124c, (q15_t)0xd333, (q15_t)0x1243, (q15_t)0xd33c, (q15_t)0x123a, (q15_t)0xd345,
+ (q15_t)0x1231, (q15_t)0xd34e, (q15_t)0x1229, (q15_t)0xd357, (q15_t)0x1220, (q15_t)0xd360, (q15_t)0x1217, (q15_t)0xd369,
+ (q15_t)0x120e, (q15_t)0xd372, (q15_t)0x1206, (q15_t)0xd37b, (q15_t)0x11fd, (q15_t)0xd384, (q15_t)0x11f4, (q15_t)0xd38d,
+ (q15_t)0x11eb, (q15_t)0xd396, (q15_t)0x11e3, (q15_t)0xd39f, (q15_t)0x11da, (q15_t)0xd3a8, (q15_t)0x11d1, (q15_t)0xd3b1,
+ (q15_t)0x11c9, (q15_t)0xd3ba, (q15_t)0x11c0, (q15_t)0xd3c3, (q15_t)0x11b7, (q15_t)0xd3cc, (q15_t)0x11af, (q15_t)0xd3d5,
+ (q15_t)0x11a6, (q15_t)0xd3df, (q15_t)0x119d, (q15_t)0xd3e8, (q15_t)0x1195, (q15_t)0xd3f1, (q15_t)0x118c, (q15_t)0xd3fa,
+ (q15_t)0x1183, (q15_t)0xd403, (q15_t)0x117b, (q15_t)0xd40c, (q15_t)0x1172, (q15_t)0xd415, (q15_t)0x1169, (q15_t)0xd41e,
+ (q15_t)0x1161, (q15_t)0xd428, (q15_t)0x1158, (q15_t)0xd431, (q15_t)0x1150, (q15_t)0xd43a, (q15_t)0x1147, (q15_t)0xd443,
+ (q15_t)0x113e, (q15_t)0xd44c, (q15_t)0x1136, (q15_t)0xd455, (q15_t)0x112d, (q15_t)0xd45f, (q15_t)0x1125, (q15_t)0xd468,
+ (q15_t)0x111c, (q15_t)0xd471, (q15_t)0x1114, (q15_t)0xd47a, (q15_t)0x110b, (q15_t)0xd483, (q15_t)0x1103, (q15_t)0xd48d,
+ (q15_t)0x10fa, (q15_t)0xd496, (q15_t)0x10f2, (q15_t)0xd49f, (q15_t)0x10e9, (q15_t)0xd4a8, (q15_t)0x10e0, (q15_t)0xd4b2,
+ (q15_t)0x10d8, (q15_t)0xd4bb, (q15_t)0x10d0, (q15_t)0xd4c4, (q15_t)0x10c7, (q15_t)0xd4cd, (q15_t)0x10bf, (q15_t)0xd4d7,
+ (q15_t)0x10b6, (q15_t)0xd4e0, (q15_t)0x10ae, (q15_t)0xd4e9, (q15_t)0x10a5, (q15_t)0xd4f3, (q15_t)0x109d, (q15_t)0xd4fc,
+ (q15_t)0x1094, (q15_t)0xd505, (q15_t)0x108c, (q15_t)0xd50e, (q15_t)0x1083, (q15_t)0xd518, (q15_t)0x107b, (q15_t)0xd521,
+ (q15_t)0x1073, (q15_t)0xd52a, (q15_t)0x106a, (q15_t)0xd534, (q15_t)0x1062, (q15_t)0xd53d, (q15_t)0x1059, (q15_t)0xd547,
+ (q15_t)0x1051, (q15_t)0xd550, (q15_t)0x1049, (q15_t)0xd559, (q15_t)0x1040, (q15_t)0xd563, (q15_t)0x1038, (q15_t)0xd56c,
+ (q15_t)0x1030, (q15_t)0xd575, (q15_t)0x1027, (q15_t)0xd57f, (q15_t)0x101f, (q15_t)0xd588, (q15_t)0x1016, (q15_t)0xd592,
+ (q15_t)0x100e, (q15_t)0xd59b, (q15_t)0x1006, (q15_t)0xd5a4, (q15_t)0xffe, (q15_t)0xd5ae, (q15_t)0xff5, (q15_t)0xd5b7,
+ (q15_t)0xfed, (q15_t)0xd5c1, (q15_t)0xfe5, (q15_t)0xd5ca, (q15_t)0xfdc, (q15_t)0xd5d4, (q15_t)0xfd4, (q15_t)0xd5dd,
+ (q15_t)0xfcc, (q15_t)0xd5e6, (q15_t)0xfc4, (q15_t)0xd5f0, (q15_t)0xfbb, (q15_t)0xd5f9, (q15_t)0xfb3, (q15_t)0xd603,
+ (q15_t)0xfab, (q15_t)0xd60c, (q15_t)0xfa3, (q15_t)0xd616, (q15_t)0xf9a, (q15_t)0xd61f, (q15_t)0xf92, (q15_t)0xd629,
+ (q15_t)0xf8a, (q15_t)0xd632, (q15_t)0xf82, (q15_t)0xd63c, (q15_t)0xf79, (q15_t)0xd645, (q15_t)0xf71, (q15_t)0xd64f,
+ (q15_t)0xf69, (q15_t)0xd659, (q15_t)0xf61, (q15_t)0xd662, (q15_t)0xf59, (q15_t)0xd66c, (q15_t)0xf51, (q15_t)0xd675,
+ (q15_t)0xf48, (q15_t)0xd67f, (q15_t)0xf40, (q15_t)0xd688, (q15_t)0xf38, (q15_t)0xd692, (q15_t)0xf30, (q15_t)0xd69b,
+ (q15_t)0xf28, (q15_t)0xd6a5, (q15_t)0xf20, (q15_t)0xd6af, (q15_t)0xf18, (q15_t)0xd6b8, (q15_t)0xf10, (q15_t)0xd6c2,
+ (q15_t)0xf07, (q15_t)0xd6cb, (q15_t)0xeff, (q15_t)0xd6d5, (q15_t)0xef7, (q15_t)0xd6df, (q15_t)0xeef, (q15_t)0xd6e8,
+ (q15_t)0xee7, (q15_t)0xd6f2, (q15_t)0xedf, (q15_t)0xd6fc, (q15_t)0xed7, (q15_t)0xd705, (q15_t)0xecf, (q15_t)0xd70f,
+ (q15_t)0xec7, (q15_t)0xd719, (q15_t)0xebf, (q15_t)0xd722, (q15_t)0xeb7, (q15_t)0xd72c, (q15_t)0xeaf, (q15_t)0xd736,
+ (q15_t)0xea7, (q15_t)0xd73f, (q15_t)0xe9f, (q15_t)0xd749, (q15_t)0xe97, (q15_t)0xd753, (q15_t)0xe8f, (q15_t)0xd75c,
+ (q15_t)0xe87, (q15_t)0xd766, (q15_t)0xe7f, (q15_t)0xd770, (q15_t)0xe77, (q15_t)0xd77a, (q15_t)0xe6f, (q15_t)0xd783,
+ (q15_t)0xe67, (q15_t)0xd78d, (q15_t)0xe5f, (q15_t)0xd797, (q15_t)0xe57, (q15_t)0xd7a0, (q15_t)0xe4f, (q15_t)0xd7aa,
+ (q15_t)0xe47, (q15_t)0xd7b4, (q15_t)0xe40, (q15_t)0xd7be, (q15_t)0xe38, (q15_t)0xd7c8, (q15_t)0xe30, (q15_t)0xd7d1,
+ (q15_t)0xe28, (q15_t)0xd7db, (q15_t)0xe20, (q15_t)0xd7e5, (q15_t)0xe18, (q15_t)0xd7ef, (q15_t)0xe10, (q15_t)0xd7f8,
+ (q15_t)0xe08, (q15_t)0xd802, (q15_t)0xe01, (q15_t)0xd80c, (q15_t)0xdf9, (q15_t)0xd816, (q15_t)0xdf1, (q15_t)0xd820,
+ (q15_t)0xde9, (q15_t)0xd82a, (q15_t)0xde1, (q15_t)0xd833, (q15_t)0xdd9, (q15_t)0xd83d, (q15_t)0xdd2, (q15_t)0xd847,
+ (q15_t)0xdca, (q15_t)0xd851, (q15_t)0xdc2, (q15_t)0xd85b, (q15_t)0xdba, (q15_t)0xd865, (q15_t)0xdb2, (q15_t)0xd86f,
+ (q15_t)0xdab, (q15_t)0xd878, (q15_t)0xda3, (q15_t)0xd882, (q15_t)0xd9b, (q15_t)0xd88c, (q15_t)0xd93, (q15_t)0xd896,
+ (q15_t)0xd8c, (q15_t)0xd8a0, (q15_t)0xd84, (q15_t)0xd8aa, (q15_t)0xd7c, (q15_t)0xd8b4, (q15_t)0xd75, (q15_t)0xd8be,
+ (q15_t)0xd6d, (q15_t)0xd8c8, (q15_t)0xd65, (q15_t)0xd8d2, (q15_t)0xd5d, (q15_t)0xd8dc, (q15_t)0xd56, (q15_t)0xd8e6,
+ (q15_t)0xd4e, (q15_t)0xd8ef, (q15_t)0xd46, (q15_t)0xd8f9, (q15_t)0xd3f, (q15_t)0xd903, (q15_t)0xd37, (q15_t)0xd90d,
+ (q15_t)0xd30, (q15_t)0xd917, (q15_t)0xd28, (q15_t)0xd921, (q15_t)0xd20, (q15_t)0xd92b, (q15_t)0xd19, (q15_t)0xd935,
+ (q15_t)0xd11, (q15_t)0xd93f, (q15_t)0xd09, (q15_t)0xd949, (q15_t)0xd02, (q15_t)0xd953, (q15_t)0xcfa, (q15_t)0xd95d,
+ (q15_t)0xcf3, (q15_t)0xd967, (q15_t)0xceb, (q15_t)0xd971, (q15_t)0xce3, (q15_t)0xd97b, (q15_t)0xcdc, (q15_t)0xd985,
+ (q15_t)0xcd4, (q15_t)0xd98f, (q15_t)0xccd, (q15_t)0xd99a, (q15_t)0xcc5, (q15_t)0xd9a4, (q15_t)0xcbe, (q15_t)0xd9ae,
+ (q15_t)0xcb6, (q15_t)0xd9b8, (q15_t)0xcaf, (q15_t)0xd9c2, (q15_t)0xca7, (q15_t)0xd9cc, (q15_t)0xca0, (q15_t)0xd9d6,
+ (q15_t)0xc98, (q15_t)0xd9e0, (q15_t)0xc91, (q15_t)0xd9ea, (q15_t)0xc89, (q15_t)0xd9f4, (q15_t)0xc82, (q15_t)0xd9fe,
+ (q15_t)0xc7a, (q15_t)0xda08, (q15_t)0xc73, (q15_t)0xda13, (q15_t)0xc6b, (q15_t)0xda1d, (q15_t)0xc64, (q15_t)0xda27,
+ (q15_t)0xc5d, (q15_t)0xda31, (q15_t)0xc55, (q15_t)0xda3b, (q15_t)0xc4e, (q15_t)0xda45, (q15_t)0xc46, (q15_t)0xda4f,
+ (q15_t)0xc3f, (q15_t)0xda5a, (q15_t)0xc38, (q15_t)0xda64, (q15_t)0xc30, (q15_t)0xda6e, (q15_t)0xc29, (q15_t)0xda78,
+ (q15_t)0xc21, (q15_t)0xda82, (q15_t)0xc1a, (q15_t)0xda8c, (q15_t)0xc13, (q15_t)0xda97, (q15_t)0xc0b, (q15_t)0xdaa1,
+ (q15_t)0xc04, (q15_t)0xdaab, (q15_t)0xbfd, (q15_t)0xdab5, (q15_t)0xbf5, (q15_t)0xdabf, (q15_t)0xbee, (q15_t)0xdaca,
+ (q15_t)0xbe7, (q15_t)0xdad4, (q15_t)0xbe0, (q15_t)0xdade, (q15_t)0xbd8, (q15_t)0xdae8, (q15_t)0xbd1, (q15_t)0xdaf3,
+ (q15_t)0xbca, (q15_t)0xdafd, (q15_t)0xbc2, (q15_t)0xdb07, (q15_t)0xbbb, (q15_t)0xdb11, (q15_t)0xbb4, (q15_t)0xdb1c,
+ (q15_t)0xbad, (q15_t)0xdb26, (q15_t)0xba5, (q15_t)0xdb30, (q15_t)0xb9e, (q15_t)0xdb3b, (q15_t)0xb97, (q15_t)0xdb45,
+ (q15_t)0xb90, (q15_t)0xdb4f, (q15_t)0xb89, (q15_t)0xdb59, (q15_t)0xb81, (q15_t)0xdb64, (q15_t)0xb7a, (q15_t)0xdb6e,
+ (q15_t)0xb73, (q15_t)0xdb78, (q15_t)0xb6c, (q15_t)0xdb83, (q15_t)0xb65, (q15_t)0xdb8d, (q15_t)0xb5e, (q15_t)0xdb97,
+ (q15_t)0xb56, (q15_t)0xdba2, (q15_t)0xb4f, (q15_t)0xdbac, (q15_t)0xb48, (q15_t)0xdbb6, (q15_t)0xb41, (q15_t)0xdbc1,
+ (q15_t)0xb3a, (q15_t)0xdbcb, (q15_t)0xb33, (q15_t)0xdbd5, (q15_t)0xb2c, (q15_t)0xdbe0, (q15_t)0xb25, (q15_t)0xdbea,
+ (q15_t)0xb1e, (q15_t)0xdbf5, (q15_t)0xb16, (q15_t)0xdbff, (q15_t)0xb0f, (q15_t)0xdc09, (q15_t)0xb08, (q15_t)0xdc14,
+ (q15_t)0xb01, (q15_t)0xdc1e, (q15_t)0xafa, (q15_t)0xdc29, (q15_t)0xaf3, (q15_t)0xdc33, (q15_t)0xaec, (q15_t)0xdc3d,
+ (q15_t)0xae5, (q15_t)0xdc48, (q15_t)0xade, (q15_t)0xdc52, (q15_t)0xad7, (q15_t)0xdc5d, (q15_t)0xad0, (q15_t)0xdc67,
+ (q15_t)0xac9, (q15_t)0xdc72, (q15_t)0xac2, (q15_t)0xdc7c, (q15_t)0xabb, (q15_t)0xdc86, (q15_t)0xab4, (q15_t)0xdc91,
+ (q15_t)0xaad, (q15_t)0xdc9b, (q15_t)0xaa6, (q15_t)0xdca6, (q15_t)0xa9f, (q15_t)0xdcb0, (q15_t)0xa99, (q15_t)0xdcbb,
+ (q15_t)0xa92, (q15_t)0xdcc5, (q15_t)0xa8b, (q15_t)0xdcd0, (q15_t)0xa84, (q15_t)0xdcda, (q15_t)0xa7d, (q15_t)0xdce5,
+ (q15_t)0xa76, (q15_t)0xdcef, (q15_t)0xa6f, (q15_t)0xdcfa, (q15_t)0xa68, (q15_t)0xdd04, (q15_t)0xa61, (q15_t)0xdd0f,
+ (q15_t)0xa5b, (q15_t)0xdd19, (q15_t)0xa54, (q15_t)0xdd24, (q15_t)0xa4d, (q15_t)0xdd2e, (q15_t)0xa46, (q15_t)0xdd39,
+ (q15_t)0xa3f, (q15_t)0xdd44, (q15_t)0xa38, (q15_t)0xdd4e, (q15_t)0xa32, (q15_t)0xdd59, (q15_t)0xa2b, (q15_t)0xdd63,
+ (q15_t)0xa24, (q15_t)0xdd6e, (q15_t)0xa1d, (q15_t)0xdd78, (q15_t)0xa16, (q15_t)0xdd83, (q15_t)0xa10, (q15_t)0xdd8e,
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+ (q15_t)0x2, (q15_t)0xff05, (q15_t)0x2, (q15_t)0xff11, (q15_t)0x2, (q15_t)0xff1e, (q15_t)0x1, (q15_t)0xff2a,
+ (q15_t)0x1, (q15_t)0xff37, (q15_t)0x1, (q15_t)0xff44, (q15_t)0x1, (q15_t)0xff50, (q15_t)0x1, (q15_t)0xff5d,
+ (q15_t)0x1, (q15_t)0xff69, (q15_t)0x1, (q15_t)0xff76, (q15_t)0x0, (q15_t)0xff82, (q15_t)0x0, (q15_t)0xff8f,
+ (q15_t)0x0, (q15_t)0xff9b, (q15_t)0x0, (q15_t)0xffa8, (q15_t)0x0, (q15_t)0xffb5, (q15_t)0x0, (q15_t)0xffc1,
+ (q15_t)0x0, (q15_t)0xffce, (q15_t)0x0, (q15_t)0xffda, (q15_t)0x0, (q15_t)0xffe7, (q15_t)0x0, (q15_t)0xfff3,
+ (q15_t)0x0, (q15_t)0x0, (q15_t)0x0, (q15_t)0xd, (q15_t)0x0, (q15_t)0x19, (q15_t)0x0, (q15_t)0x26,
+ (q15_t)0x0, (q15_t)0x32, (q15_t)0x0, (q15_t)0x3f, (q15_t)0x0, (q15_t)0x4b, (q15_t)0x0, (q15_t)0x58,
+ (q15_t)0x0, (q15_t)0x65, (q15_t)0x0, (q15_t)0x71, (q15_t)0x0, (q15_t)0x7e, (q15_t)0x1, (q15_t)0x8a,
+ (q15_t)0x1, (q15_t)0x97, (q15_t)0x1, (q15_t)0xa3, (q15_t)0x1, (q15_t)0xb0, (q15_t)0x1, (q15_t)0xbc,
+ (q15_t)0x1, (q15_t)0xc9, (q15_t)0x1, (q15_t)0xd6, (q15_t)0x2, (q15_t)0xe2, (q15_t)0x2, (q15_t)0xef,
+ (q15_t)0x2, (q15_t)0xfb, (q15_t)0x2, (q15_t)0x108, (q15_t)0x2, (q15_t)0x114, (q15_t)0x3, (q15_t)0x121,
+ (q15_t)0x3, (q15_t)0x12e, (q15_t)0x3, (q15_t)0x13a, (q15_t)0x3, (q15_t)0x147, (q15_t)0x4, (q15_t)0x153,
+ (q15_t)0x4, (q15_t)0x160, (q15_t)0x4, (q15_t)0x16c, (q15_t)0x4, (q15_t)0x179, (q15_t)0x5, (q15_t)0x186,
+ (q15_t)0x5, (q15_t)0x192, (q15_t)0x5, (q15_t)0x19f, (q15_t)0x6, (q15_t)0x1ab, (q15_t)0x6, (q15_t)0x1b8,
+ (q15_t)0x6, (q15_t)0x1c4, (q15_t)0x7, (q15_t)0x1d1, (q15_t)0x7, (q15_t)0x1dd, (q15_t)0x7, (q15_t)0x1ea,
+ (q15_t)0x8, (q15_t)0x1f7, (q15_t)0x8, (q15_t)0x203, (q15_t)0x9, (q15_t)0x210, (q15_t)0x9, (q15_t)0x21c,
+ (q15_t)0x9, (q15_t)0x229, (q15_t)0xa, (q15_t)0x235, (q15_t)0xa, (q15_t)0x242, (q15_t)0xb, (q15_t)0x24e,
+ (q15_t)0xb, (q15_t)0x25b, (q15_t)0xc, (q15_t)0x268, (q15_t)0xc, (q15_t)0x274, (q15_t)0xd, (q15_t)0x281,
+ (q15_t)0xd, (q15_t)0x28d, (q15_t)0xe, (q15_t)0x29a, (q15_t)0xe, (q15_t)0x2a6, (q15_t)0xf, (q15_t)0x2b3,
+ (q15_t)0xf, (q15_t)0x2c0, (q15_t)0x10, (q15_t)0x2cc, (q15_t)0x10, (q15_t)0x2d9, (q15_t)0x11, (q15_t)0x2e5,
+ (q15_t)0x11, (q15_t)0x2f2, (q15_t)0x12, (q15_t)0x2fe, (q15_t)0x13, (q15_t)0x30b, (q15_t)0x13, (q15_t)0x317,
+ (q15_t)0x14, (q15_t)0x324, (q15_t)0x14, (q15_t)0x330, (q15_t)0x15, (q15_t)0x33d, (q15_t)0x16, (q15_t)0x34a,
+ (q15_t)0x16, (q15_t)0x356, (q15_t)0x17, (q15_t)0x363, (q15_t)0x18, (q15_t)0x36f, (q15_t)0x18, (q15_t)0x37c,
+ (q15_t)0x19, (q15_t)0x388, (q15_t)0x1a, (q15_t)0x395, (q15_t)0x1a, (q15_t)0x3a1, (q15_t)0x1b, (q15_t)0x3ae,
+ (q15_t)0x1c, (q15_t)0x3bb, (q15_t)0x1d, (q15_t)0x3c7, (q15_t)0x1d, (q15_t)0x3d4, (q15_t)0x1e, (q15_t)0x3e0,
+ (q15_t)0x1f, (q15_t)0x3ed, (q15_t)0x20, (q15_t)0x3f9, (q15_t)0x20, (q15_t)0x406, (q15_t)0x21, (q15_t)0x412,
+ (q15_t)0x22, (q15_t)0x41f, (q15_t)0x23, (q15_t)0x42b, (q15_t)0x24, (q15_t)0x438, (q15_t)0x24, (q15_t)0x444,
+ (q15_t)0x25, (q15_t)0x451, (q15_t)0x26, (q15_t)0x45e, (q15_t)0x27, (q15_t)0x46a, (q15_t)0x28, (q15_t)0x477,
+ (q15_t)0x29, (q15_t)0x483, (q15_t)0x2a, (q15_t)0x490, (q15_t)0x2b, (q15_t)0x49c, (q15_t)0x2b, (q15_t)0x4a9,
+ (q15_t)0x2c, (q15_t)0x4b5, (q15_t)0x2d, (q15_t)0x4c2, (q15_t)0x2e, (q15_t)0x4ce, (q15_t)0x2f, (q15_t)0x4db,
+ (q15_t)0x30, (q15_t)0x4e7, (q15_t)0x31, (q15_t)0x4f4, (q15_t)0x32, (q15_t)0x500, (q15_t)0x33, (q15_t)0x50d,
+ (q15_t)0x34, (q15_t)0x51a, (q15_t)0x35, (q15_t)0x526, (q15_t)0x36, (q15_t)0x533, (q15_t)0x37, (q15_t)0x53f,
+ (q15_t)0x38, (q15_t)0x54c, (q15_t)0x39, (q15_t)0x558, (q15_t)0x3a, (q15_t)0x565, (q15_t)0x3b, (q15_t)0x571,
+ (q15_t)0x3c, (q15_t)0x57e, (q15_t)0x3d, (q15_t)0x58a, (q15_t)0x3f, (q15_t)0x597, (q15_t)0x40, (q15_t)0x5a3,
+ (q15_t)0x41, (q15_t)0x5b0, (q15_t)0x42, (q15_t)0x5bc, (q15_t)0x43, (q15_t)0x5c9, (q15_t)0x44, (q15_t)0x5d5,
+ (q15_t)0x45, (q15_t)0x5e2, (q15_t)0x47, (q15_t)0x5ee, (q15_t)0x48, (q15_t)0x5fb, (q15_t)0x49, (q15_t)0x607,
+ (q15_t)0x4a, (q15_t)0x614, (q15_t)0x4b, (q15_t)0x620, (q15_t)0x4c, (q15_t)0x62d, (q15_t)0x4e, (q15_t)0x639,
+ (q15_t)0x4f, (q15_t)0x646, (q15_t)0x50, (q15_t)0x652, (q15_t)0x51, (q15_t)0x65f, (q15_t)0x53, (q15_t)0x66b,
+ (q15_t)0x54, (q15_t)0x678, (q15_t)0x55, (q15_t)0x684, (q15_t)0x56, (q15_t)0x691, (q15_t)0x58, (q15_t)0x69d,
+ (q15_t)0x59, (q15_t)0x6aa, (q15_t)0x5a, (q15_t)0x6b6, (q15_t)0x5c, (q15_t)0x6c3, (q15_t)0x5d, (q15_t)0x6cf,
+ (q15_t)0x5e, (q15_t)0x6dc, (q15_t)0x60, (q15_t)0x6e8, (q15_t)0x61, (q15_t)0x6f5, (q15_t)0x62, (q15_t)0x701,
+ (q15_t)0x64, (q15_t)0x70e, (q15_t)0x65, (q15_t)0x71a, (q15_t)0x67, (q15_t)0x727, (q15_t)0x68, (q15_t)0x733,
+ (q15_t)0x69, (q15_t)0x740, (q15_t)0x6b, (q15_t)0x74c, (q15_t)0x6c, (q15_t)0x759, (q15_t)0x6e, (q15_t)0x765,
+ (q15_t)0x6f, (q15_t)0x772, (q15_t)0x71, (q15_t)0x77e, (q15_t)0x72, (q15_t)0x78b, (q15_t)0x74, (q15_t)0x797,
+ (q15_t)0x75, (q15_t)0x7a4, (q15_t)0x77, (q15_t)0x7b0, (q15_t)0x78, (q15_t)0x7bd, (q15_t)0x7a, (q15_t)0x7c9,
+ (q15_t)0x7b, (q15_t)0x7d6, (q15_t)0x7d, (q15_t)0x7e2, (q15_t)0x7e, (q15_t)0x7ef, (q15_t)0x80, (q15_t)0x7fb,
+ (q15_t)0x81, (q15_t)0x807, (q15_t)0x83, (q15_t)0x814, (q15_t)0x85, (q15_t)0x820, (q15_t)0x86, (q15_t)0x82d,
+ (q15_t)0x88, (q15_t)0x839, (q15_t)0x89, (q15_t)0x846, (q15_t)0x8b, (q15_t)0x852, (q15_t)0x8d, (q15_t)0x85f,
+ (q15_t)0x8e, (q15_t)0x86b, (q15_t)0x90, (q15_t)0x878, (q15_t)0x92, (q15_t)0x884, (q15_t)0x93, (q15_t)0x891,
+ (q15_t)0x95, (q15_t)0x89d, (q15_t)0x97, (q15_t)0x8a9, (q15_t)0x98, (q15_t)0x8b6, (q15_t)0x9a, (q15_t)0x8c2,
+ (q15_t)0x9c, (q15_t)0x8cf, (q15_t)0x9e, (q15_t)0x8db, (q15_t)0x9f, (q15_t)0x8e8, (q15_t)0xa1, (q15_t)0x8f4,
+ (q15_t)0xa3, (q15_t)0x901, (q15_t)0xa5, (q15_t)0x90d, (q15_t)0xa6, (q15_t)0x919, (q15_t)0xa8, (q15_t)0x926,
+ (q15_t)0xaa, (q15_t)0x932, (q15_t)0xac, (q15_t)0x93f, (q15_t)0xae, (q15_t)0x94b, (q15_t)0xaf, (q15_t)0x958,
+ (q15_t)0xb1, (q15_t)0x964, (q15_t)0xb3, (q15_t)0x970, (q15_t)0xb5, (q15_t)0x97d, (q15_t)0xb7, (q15_t)0x989,
+ (q15_t)0xb9, (q15_t)0x996, (q15_t)0xbb, (q15_t)0x9a2, (q15_t)0xbd, (q15_t)0x9af, (q15_t)0xbe, (q15_t)0x9bb,
+ (q15_t)0xc0, (q15_t)0x9c7, (q15_t)0xc2, (q15_t)0x9d4, (q15_t)0xc4, (q15_t)0x9e0, (q15_t)0xc6, (q15_t)0x9ed,
+ (q15_t)0xc8, (q15_t)0x9f9, (q15_t)0xca, (q15_t)0xa06, (q15_t)0xcc, (q15_t)0xa12, (q15_t)0xce, (q15_t)0xa1e,
+ (q15_t)0xd0, (q15_t)0xa2b, (q15_t)0xd2, (q15_t)0xa37, (q15_t)0xd4, (q15_t)0xa44, (q15_t)0xd6, (q15_t)0xa50,
+ (q15_t)0xd8, (q15_t)0xa5c, (q15_t)0xda, (q15_t)0xa69, (q15_t)0xdc, (q15_t)0xa75, (q15_t)0xde, (q15_t)0xa82,
+ (q15_t)0xe0, (q15_t)0xa8e, (q15_t)0xe2, (q15_t)0xa9a, (q15_t)0xe4, (q15_t)0xaa7, (q15_t)0xe7, (q15_t)0xab3,
+ (q15_t)0xe9, (q15_t)0xac0, (q15_t)0xeb, (q15_t)0xacc, (q15_t)0xed, (q15_t)0xad8, (q15_t)0xef, (q15_t)0xae5,
+ (q15_t)0xf1, (q15_t)0xaf1, (q15_t)0xf3, (q15_t)0xafd, (q15_t)0xf6, (q15_t)0xb0a, (q15_t)0xf8, (q15_t)0xb16,
+ (q15_t)0xfa, (q15_t)0xb23, (q15_t)0xfc, (q15_t)0xb2f, (q15_t)0xfe, (q15_t)0xb3b, (q15_t)0x100, (q15_t)0xb48,
+ (q15_t)0x103, (q15_t)0xb54, (q15_t)0x105, (q15_t)0xb60, (q15_t)0x107, (q15_t)0xb6d, (q15_t)0x109, (q15_t)0xb79,
+ (q15_t)0x10c, (q15_t)0xb85, (q15_t)0x10e, (q15_t)0xb92, (q15_t)0x110, (q15_t)0xb9e, (q15_t)0x113, (q15_t)0xbab,
+ (q15_t)0x115, (q15_t)0xbb7, (q15_t)0x117, (q15_t)0xbc3, (q15_t)0x119, (q15_t)0xbd0, (q15_t)0x11c, (q15_t)0xbdc,
+ (q15_t)0x11e, (q15_t)0xbe8, (q15_t)0x120, (q15_t)0xbf5, (q15_t)0x123, (q15_t)0xc01, (q15_t)0x125, (q15_t)0xc0d,
+ (q15_t)0x128, (q15_t)0xc1a, (q15_t)0x12a, (q15_t)0xc26, (q15_t)0x12c, (q15_t)0xc32, (q15_t)0x12f, (q15_t)0xc3f,
+ (q15_t)0x131, (q15_t)0xc4b, (q15_t)0x134, (q15_t)0xc57, (q15_t)0x136, (q15_t)0xc64, (q15_t)0x138, (q15_t)0xc70,
+ (q15_t)0x13b, (q15_t)0xc7c, (q15_t)0x13d, (q15_t)0xc89, (q15_t)0x140, (q15_t)0xc95, (q15_t)0x142, (q15_t)0xca1,
+ (q15_t)0x145, (q15_t)0xcae, (q15_t)0x147, (q15_t)0xcba, (q15_t)0x14a, (q15_t)0xcc6, (q15_t)0x14c, (q15_t)0xcd3,
+ (q15_t)0x14f, (q15_t)0xcdf, (q15_t)0x151, (q15_t)0xceb, (q15_t)0x154, (q15_t)0xcf8, (q15_t)0x156, (q15_t)0xd04,
+ (q15_t)0x159, (q15_t)0xd10, (q15_t)0x15b, (q15_t)0xd1c, (q15_t)0x15e, (q15_t)0xd29, (q15_t)0x161, (q15_t)0xd35,
+ (q15_t)0x163, (q15_t)0xd41, (q15_t)0x166, (q15_t)0xd4e, (q15_t)0x168, (q15_t)0xd5a, (q15_t)0x16b, (q15_t)0xd66,
+ (q15_t)0x16e, (q15_t)0xd72, (q15_t)0x170, (q15_t)0xd7f, (q15_t)0x173, (q15_t)0xd8b, (q15_t)0x176, (q15_t)0xd97,
+ (q15_t)0x178, (q15_t)0xda4, (q15_t)0x17b, (q15_t)0xdb0, (q15_t)0x17e, (q15_t)0xdbc, (q15_t)0x180, (q15_t)0xdc8,
+ (q15_t)0x183, (q15_t)0xdd5, (q15_t)0x186, (q15_t)0xde1, (q15_t)0x189, (q15_t)0xded, (q15_t)0x18b, (q15_t)0xdf9,
+ (q15_t)0x18e, (q15_t)0xe06, (q15_t)0x191, (q15_t)0xe12, (q15_t)0x194, (q15_t)0xe1e, (q15_t)0x196, (q15_t)0xe2b,
+ (q15_t)0x199, (q15_t)0xe37, (q15_t)0x19c, (q15_t)0xe43, (q15_t)0x19f, (q15_t)0xe4f, (q15_t)0x1a2, (q15_t)0xe5c,
+ (q15_t)0x1a4, (q15_t)0xe68, (q15_t)0x1a7, (q15_t)0xe74, (q15_t)0x1aa, (q15_t)0xe80, (q15_t)0x1ad, (q15_t)0xe8c,
+ (q15_t)0x1b0, (q15_t)0xe99, (q15_t)0x1b3, (q15_t)0xea5, (q15_t)0x1b6, (q15_t)0xeb1, (q15_t)0x1b8, (q15_t)0xebd,
+ (q15_t)0x1bb, (q15_t)0xeca, (q15_t)0x1be, (q15_t)0xed6, (q15_t)0x1c1, (q15_t)0xee2, (q15_t)0x1c4, (q15_t)0xeee,
+ (q15_t)0x1c7, (q15_t)0xefb, (q15_t)0x1ca, (q15_t)0xf07, (q15_t)0x1cd, (q15_t)0xf13, (q15_t)0x1d0, (q15_t)0xf1f,
+ (q15_t)0x1d3, (q15_t)0xf2b, (q15_t)0x1d6, (q15_t)0xf38, (q15_t)0x1d9, (q15_t)0xf44, (q15_t)0x1dc, (q15_t)0xf50,
+ (q15_t)0x1df, (q15_t)0xf5c, (q15_t)0x1e2, (q15_t)0xf68, (q15_t)0x1e5, (q15_t)0xf75, (q15_t)0x1e8, (q15_t)0xf81,
+ (q15_t)0x1eb, (q15_t)0xf8d, (q15_t)0x1ee, (q15_t)0xf99, (q15_t)0x1f1, (q15_t)0xfa5, (q15_t)0x1f4, (q15_t)0xfb2,
+ (q15_t)0x1f7, (q15_t)0xfbe, (q15_t)0x1fa, (q15_t)0xfca, (q15_t)0x1fd, (q15_t)0xfd6, (q15_t)0x201, (q15_t)0xfe2,
+ (q15_t)0x204, (q15_t)0xfee, (q15_t)0x207, (q15_t)0xffb, (q15_t)0x20a, (q15_t)0x1007, (q15_t)0x20d, (q15_t)0x1013,
+ (q15_t)0x210, (q15_t)0x101f, (q15_t)0x213, (q15_t)0x102b, (q15_t)0x217, (q15_t)0x1037, (q15_t)0x21a, (q15_t)0x1044,
+ (q15_t)0x21d, (q15_t)0x1050, (q15_t)0x220, (q15_t)0x105c, (q15_t)0x223, (q15_t)0x1068, (q15_t)0x227, (q15_t)0x1074,
+ (q15_t)0x22a, (q15_t)0x1080, (q15_t)0x22d, (q15_t)0x108c, (q15_t)0x230, (q15_t)0x1099, (q15_t)0x234, (q15_t)0x10a5,
+ (q15_t)0x237, (q15_t)0x10b1, (q15_t)0x23a, (q15_t)0x10bd, (q15_t)0x23e, (q15_t)0x10c9, (q15_t)0x241, (q15_t)0x10d5,
+ (q15_t)0x244, (q15_t)0x10e1, (q15_t)0x247, (q15_t)0x10ed, (q15_t)0x24b, (q15_t)0x10fa, (q15_t)0x24e, (q15_t)0x1106,
+ (q15_t)0x251, (q15_t)0x1112, (q15_t)0x255, (q15_t)0x111e, (q15_t)0x258, (q15_t)0x112a, (q15_t)0x25c, (q15_t)0x1136,
+ (q15_t)0x25f, (q15_t)0x1142, (q15_t)0x262, (q15_t)0x114e, (q15_t)0x266, (q15_t)0x115a, (q15_t)0x269, (q15_t)0x1167,
+ (q15_t)0x26d, (q15_t)0x1173, (q15_t)0x270, (q15_t)0x117f, (q15_t)0x273, (q15_t)0x118b, (q15_t)0x277, (q15_t)0x1197,
+ (q15_t)0x27a, (q15_t)0x11a3, (q15_t)0x27e, (q15_t)0x11af, (q15_t)0x281, (q15_t)0x11bb, (q15_t)0x285, (q15_t)0x11c7,
+ (q15_t)0x288, (q15_t)0x11d3, (q15_t)0x28c, (q15_t)0x11df, (q15_t)0x28f, (q15_t)0x11eb, (q15_t)0x293, (q15_t)0x11f7,
+ (q15_t)0x296, (q15_t)0x1204, (q15_t)0x29a, (q15_t)0x1210, (q15_t)0x29d, (q15_t)0x121c, (q15_t)0x2a1, (q15_t)0x1228,
+ (q15_t)0x2a5, (q15_t)0x1234, (q15_t)0x2a8, (q15_t)0x1240, (q15_t)0x2ac, (q15_t)0x124c, (q15_t)0x2af, (q15_t)0x1258,
+ (q15_t)0x2b3, (q15_t)0x1264, (q15_t)0x2b7, (q15_t)0x1270, (q15_t)0x2ba, (q15_t)0x127c, (q15_t)0x2be, (q15_t)0x1288,
+ (q15_t)0x2c1, (q15_t)0x1294, (q15_t)0x2c5, (q15_t)0x12a0, (q15_t)0x2c9, (q15_t)0x12ac, (q15_t)0x2cc, (q15_t)0x12b8,
+ (q15_t)0x2d0, (q15_t)0x12c4, (q15_t)0x2d4, (q15_t)0x12d0, (q15_t)0x2d8, (q15_t)0x12dc, (q15_t)0x2db, (q15_t)0x12e8,
+ (q15_t)0x2df, (q15_t)0x12f4, (q15_t)0x2e3, (q15_t)0x1300, (q15_t)0x2e6, (q15_t)0x130c, (q15_t)0x2ea, (q15_t)0x1318,
+ (q15_t)0x2ee, (q15_t)0x1324, (q15_t)0x2f2, (q15_t)0x1330, (q15_t)0x2f5, (q15_t)0x133c, (q15_t)0x2f9, (q15_t)0x1348,
+ (q15_t)0x2fd, (q15_t)0x1354, (q15_t)0x301, (q15_t)0x1360, (q15_t)0x305, (q15_t)0x136c, (q15_t)0x308, (q15_t)0x1378,
+ (q15_t)0x30c, (q15_t)0x1384, (q15_t)0x310, (q15_t)0x1390, (q15_t)0x314, (q15_t)0x139c, (q15_t)0x318, (q15_t)0x13a8,
+ (q15_t)0x31c, (q15_t)0x13b4, (q15_t)0x320, (q15_t)0x13c0, (q15_t)0x323, (q15_t)0x13cc, (q15_t)0x327, (q15_t)0x13d8,
+ (q15_t)0x32b, (q15_t)0x13e4, (q15_t)0x32f, (q15_t)0x13f0, (q15_t)0x333, (q15_t)0x13fb, (q15_t)0x337, (q15_t)0x1407,
+ (q15_t)0x33b, (q15_t)0x1413, (q15_t)0x33f, (q15_t)0x141f, (q15_t)0x343, (q15_t)0x142b, (q15_t)0x347, (q15_t)0x1437,
+ (q15_t)0x34b, (q15_t)0x1443, (q15_t)0x34f, (q15_t)0x144f, (q15_t)0x353, (q15_t)0x145b, (q15_t)0x357, (q15_t)0x1467,
+ (q15_t)0x35b, (q15_t)0x1473, (q15_t)0x35f, (q15_t)0x147f, (q15_t)0x363, (q15_t)0x148b, (q15_t)0x367, (q15_t)0x1496,
+ (q15_t)0x36b, (q15_t)0x14a2, (q15_t)0x36f, (q15_t)0x14ae, (q15_t)0x373, (q15_t)0x14ba, (q15_t)0x377, (q15_t)0x14c6,
+ (q15_t)0x37b, (q15_t)0x14d2, (q15_t)0x37f, (q15_t)0x14de, (q15_t)0x383, (q15_t)0x14ea, (q15_t)0x387, (q15_t)0x14f6,
+ (q15_t)0x38c, (q15_t)0x1501, (q15_t)0x390, (q15_t)0x150d, (q15_t)0x394, (q15_t)0x1519, (q15_t)0x398, (q15_t)0x1525,
+ (q15_t)0x39c, (q15_t)0x1531, (q15_t)0x3a0, (q15_t)0x153d, (q15_t)0x3a5, (q15_t)0x1549, (q15_t)0x3a9, (q15_t)0x1554,
+ (q15_t)0x3ad, (q15_t)0x1560, (q15_t)0x3b1, (q15_t)0x156c, (q15_t)0x3b5, (q15_t)0x1578, (q15_t)0x3ba, (q15_t)0x1584,
+ (q15_t)0x3be, (q15_t)0x1590, (q15_t)0x3c2, (q15_t)0x159b, (q15_t)0x3c6, (q15_t)0x15a7, (q15_t)0x3ca, (q15_t)0x15b3,
+ (q15_t)0x3cf, (q15_t)0x15bf, (q15_t)0x3d3, (q15_t)0x15cb, (q15_t)0x3d7, (q15_t)0x15d7, (q15_t)0x3dc, (q15_t)0x15e2,
+ (q15_t)0x3e0, (q15_t)0x15ee, (q15_t)0x3e4, (q15_t)0x15fa, (q15_t)0x3e9, (q15_t)0x1606, (q15_t)0x3ed, (q15_t)0x1612,
+ (q15_t)0x3f1, (q15_t)0x161d, (q15_t)0x3f6, (q15_t)0x1629, (q15_t)0x3fa, (q15_t)0x1635, (q15_t)0x3fe, (q15_t)0x1641,
+ (q15_t)0x403, (q15_t)0x164c, (q15_t)0x407, (q15_t)0x1658, (q15_t)0x40b, (q15_t)0x1664, (q15_t)0x410, (q15_t)0x1670,
+ (q15_t)0x414, (q15_t)0x167c, (q15_t)0x419, (q15_t)0x1687, (q15_t)0x41d, (q15_t)0x1693, (q15_t)0x422, (q15_t)0x169f,
+ (q15_t)0x426, (q15_t)0x16ab, (q15_t)0x42a, (q15_t)0x16b6, (q15_t)0x42f, (q15_t)0x16c2, (q15_t)0x433, (q15_t)0x16ce,
+ (q15_t)0x438, (q15_t)0x16da, (q15_t)0x43c, (q15_t)0x16e5, (q15_t)0x441, (q15_t)0x16f1, (q15_t)0x445, (q15_t)0x16fd,
+ (q15_t)0x44a, (q15_t)0x1709, (q15_t)0x44e, (q15_t)0x1714, (q15_t)0x453, (q15_t)0x1720, (q15_t)0x457, (q15_t)0x172c,
+ (q15_t)0x45c, (q15_t)0x1737, (q15_t)0x461, (q15_t)0x1743, (q15_t)0x465, (q15_t)0x174f, (q15_t)0x46a, (q15_t)0x175b,
+ (q15_t)0x46e, (q15_t)0x1766, (q15_t)0x473, (q15_t)0x1772, (q15_t)0x478, (q15_t)0x177e, (q15_t)0x47c, (q15_t)0x1789,
+ (q15_t)0x481, (q15_t)0x1795, (q15_t)0x485, (q15_t)0x17a1, (q15_t)0x48a, (q15_t)0x17ac, (q15_t)0x48f, (q15_t)0x17b8,
+ (q15_t)0x493, (q15_t)0x17c4, (q15_t)0x498, (q15_t)0x17cf, (q15_t)0x49d, (q15_t)0x17db, (q15_t)0x4a1, (q15_t)0x17e7,
+ (q15_t)0x4a6, (q15_t)0x17f2, (q15_t)0x4ab, (q15_t)0x17fe, (q15_t)0x4b0, (q15_t)0x180a, (q15_t)0x4b4, (q15_t)0x1815,
+ (q15_t)0x4b9, (q15_t)0x1821, (q15_t)0x4be, (q15_t)0x182d, (q15_t)0x4c2, (q15_t)0x1838, (q15_t)0x4c7, (q15_t)0x1844,
+ (q15_t)0x4cc, (q15_t)0x184f, (q15_t)0x4d1, (q15_t)0x185b, (q15_t)0x4d6, (q15_t)0x1867, (q15_t)0x4da, (q15_t)0x1872,
+ (q15_t)0x4df, (q15_t)0x187e, (q15_t)0x4e4, (q15_t)0x1889, (q15_t)0x4e9, (q15_t)0x1895, (q15_t)0x4ee, (q15_t)0x18a1,
+ (q15_t)0x4f2, (q15_t)0x18ac, (q15_t)0x4f7, (q15_t)0x18b8, (q15_t)0x4fc, (q15_t)0x18c3, (q15_t)0x501, (q15_t)0x18cf,
+ (q15_t)0x506, (q15_t)0x18db, (q15_t)0x50b, (q15_t)0x18e6, (q15_t)0x510, (q15_t)0x18f2, (q15_t)0x515, (q15_t)0x18fd,
+ (q15_t)0x51a, (q15_t)0x1909, (q15_t)0x51e, (q15_t)0x1914, (q15_t)0x523, (q15_t)0x1920, (q15_t)0x528, (q15_t)0x192c,
+ (q15_t)0x52d, (q15_t)0x1937, (q15_t)0x532, (q15_t)0x1943, (q15_t)0x537, (q15_t)0x194e, (q15_t)0x53c, (q15_t)0x195a,
+ (q15_t)0x541, (q15_t)0x1965, (q15_t)0x546, (q15_t)0x1971, (q15_t)0x54b, (q15_t)0x197c, (q15_t)0x550, (q15_t)0x1988,
+ (q15_t)0x555, (q15_t)0x1993, (q15_t)0x55a, (q15_t)0x199f, (q15_t)0x55f, (q15_t)0x19aa, (q15_t)0x564, (q15_t)0x19b6,
+ (q15_t)0x569, (q15_t)0x19c1, (q15_t)0x56e, (q15_t)0x19cd, (q15_t)0x573, (q15_t)0x19d8, (q15_t)0x578, (q15_t)0x19e4,
+ (q15_t)0x57e, (q15_t)0x19ef, (q15_t)0x583, (q15_t)0x19fb, (q15_t)0x588, (q15_t)0x1a06, (q15_t)0x58d, (q15_t)0x1a12,
+ (q15_t)0x592, (q15_t)0x1a1d, (q15_t)0x597, (q15_t)0x1a29, (q15_t)0x59c, (q15_t)0x1a34, (q15_t)0x5a1, (q15_t)0x1a40,
+ (q15_t)0x5a7, (q15_t)0x1a4b, (q15_t)0x5ac, (q15_t)0x1a57, (q15_t)0x5b1, (q15_t)0x1a62, (q15_t)0x5b6, (q15_t)0x1a6e,
+ (q15_t)0x5bb, (q15_t)0x1a79, (q15_t)0x5c1, (q15_t)0x1a84, (q15_t)0x5c6, (q15_t)0x1a90, (q15_t)0x5cb, (q15_t)0x1a9b,
+ (q15_t)0x5d0, (q15_t)0x1aa7, (q15_t)0x5d5, (q15_t)0x1ab2, (q15_t)0x5db, (q15_t)0x1abe, (q15_t)0x5e0, (q15_t)0x1ac9,
+ (q15_t)0x5e5, (q15_t)0x1ad4, (q15_t)0x5ea, (q15_t)0x1ae0, (q15_t)0x5f0, (q15_t)0x1aeb, (q15_t)0x5f5, (q15_t)0x1af7,
+ (q15_t)0x5fa, (q15_t)0x1b02, (q15_t)0x600, (q15_t)0x1b0d, (q15_t)0x605, (q15_t)0x1b19, (q15_t)0x60a, (q15_t)0x1b24,
+ (q15_t)0x610, (q15_t)0x1b30, (q15_t)0x615, (q15_t)0x1b3b, (q15_t)0x61a, (q15_t)0x1b46, (q15_t)0x620, (q15_t)0x1b52,
+ (q15_t)0x625, (q15_t)0x1b5d, (q15_t)0x62a, (q15_t)0x1b68, (q15_t)0x630, (q15_t)0x1b74, (q15_t)0x635, (q15_t)0x1b7f,
+ (q15_t)0x63b, (q15_t)0x1b8a, (q15_t)0x640, (q15_t)0x1b96, (q15_t)0x645, (q15_t)0x1ba1, (q15_t)0x64b, (q15_t)0x1bac,
+ (q15_t)0x650, (q15_t)0x1bb8, (q15_t)0x656, (q15_t)0x1bc3, (q15_t)0x65b, (q15_t)0x1bce, (q15_t)0x661, (q15_t)0x1bda,
+ (q15_t)0x666, (q15_t)0x1be5, (q15_t)0x66c, (q15_t)0x1bf0, (q15_t)0x671, (q15_t)0x1bfc, (q15_t)0x677, (q15_t)0x1c07,
+ (q15_t)0x67c, (q15_t)0x1c12, (q15_t)0x682, (q15_t)0x1c1e, (q15_t)0x687, (q15_t)0x1c29, (q15_t)0x68d, (q15_t)0x1c34,
+ (q15_t)0x692, (q15_t)0x1c3f, (q15_t)0x698, (q15_t)0x1c4b, (q15_t)0x69d, (q15_t)0x1c56, (q15_t)0x6a3, (q15_t)0x1c61,
+ (q15_t)0x6a8, (q15_t)0x1c6c, (q15_t)0x6ae, (q15_t)0x1c78, (q15_t)0x6b4, (q15_t)0x1c83, (q15_t)0x6b9, (q15_t)0x1c8e,
+ (q15_t)0x6bf, (q15_t)0x1c99, (q15_t)0x6c5, (q15_t)0x1ca5, (q15_t)0x6ca, (q15_t)0x1cb0, (q15_t)0x6d0, (q15_t)0x1cbb,
+ (q15_t)0x6d5, (q15_t)0x1cc6, (q15_t)0x6db, (q15_t)0x1cd2, (q15_t)0x6e1, (q15_t)0x1cdd, (q15_t)0x6e6, (q15_t)0x1ce8,
+ (q15_t)0x6ec, (q15_t)0x1cf3, (q15_t)0x6f2, (q15_t)0x1cff, (q15_t)0x6f7, (q15_t)0x1d0a, (q15_t)0x6fd, (q15_t)0x1d15,
+ (q15_t)0x703, (q15_t)0x1d20, (q15_t)0x709, (q15_t)0x1d2b, (q15_t)0x70e, (q15_t)0x1d36, (q15_t)0x714, (q15_t)0x1d42,
+ (q15_t)0x71a, (q15_t)0x1d4d, (q15_t)0x720, (q15_t)0x1d58, (q15_t)0x725, (q15_t)0x1d63, (q15_t)0x72b, (q15_t)0x1d6e,
+ (q15_t)0x731, (q15_t)0x1d79, (q15_t)0x737, (q15_t)0x1d85, (q15_t)0x73d, (q15_t)0x1d90, (q15_t)0x742, (q15_t)0x1d9b,
+ (q15_t)0x748, (q15_t)0x1da6, (q15_t)0x74e, (q15_t)0x1db1, (q15_t)0x754, (q15_t)0x1dbc, (q15_t)0x75a, (q15_t)0x1dc7,
+ (q15_t)0x75f, (q15_t)0x1dd3, (q15_t)0x765, (q15_t)0x1dde, (q15_t)0x76b, (q15_t)0x1de9, (q15_t)0x771, (q15_t)0x1df4,
+ (q15_t)0x777, (q15_t)0x1dff, (q15_t)0x77d, (q15_t)0x1e0a, (q15_t)0x783, (q15_t)0x1e15, (q15_t)0x789, (q15_t)0x1e20,
+ (q15_t)0x78f, (q15_t)0x1e2b, (q15_t)0x795, (q15_t)0x1e36, (q15_t)0x79a, (q15_t)0x1e42, (q15_t)0x7a0, (q15_t)0x1e4d,
+ (q15_t)0x7a6, (q15_t)0x1e58, (q15_t)0x7ac, (q15_t)0x1e63, (q15_t)0x7b2, (q15_t)0x1e6e, (q15_t)0x7b8, (q15_t)0x1e79,
+ (q15_t)0x7be, (q15_t)0x1e84, (q15_t)0x7c4, (q15_t)0x1e8f, (q15_t)0x7ca, (q15_t)0x1e9a, (q15_t)0x7d0, (q15_t)0x1ea5,
+ (q15_t)0x7d6, (q15_t)0x1eb0, (q15_t)0x7dc, (q15_t)0x1ebb, (q15_t)0x7e2, (q15_t)0x1ec6, (q15_t)0x7e8, (q15_t)0x1ed1,
+ (q15_t)0x7ee, (q15_t)0x1edc, (q15_t)0x7f5, (q15_t)0x1ee7, (q15_t)0x7fb, (q15_t)0x1ef2, (q15_t)0x801, (q15_t)0x1efd,
+ (q15_t)0x807, (q15_t)0x1f08, (q15_t)0x80d, (q15_t)0x1f13, (q15_t)0x813, (q15_t)0x1f1e, (q15_t)0x819, (q15_t)0x1f29,
+ (q15_t)0x81f, (q15_t)0x1f34, (q15_t)0x825, (q15_t)0x1f3f, (q15_t)0x82b, (q15_t)0x1f4a, (q15_t)0x832, (q15_t)0x1f55,
+ (q15_t)0x838, (q15_t)0x1f60, (q15_t)0x83e, (q15_t)0x1f6b, (q15_t)0x844, (q15_t)0x1f76, (q15_t)0x84a, (q15_t)0x1f81,
+ (q15_t)0x850, (q15_t)0x1f8c, (q15_t)0x857, (q15_t)0x1f97, (q15_t)0x85d, (q15_t)0x1fa2, (q15_t)0x863, (q15_t)0x1fac,
+ (q15_t)0x869, (q15_t)0x1fb7, (q15_t)0x870, (q15_t)0x1fc2, (q15_t)0x876, (q15_t)0x1fcd, (q15_t)0x87c, (q15_t)0x1fd8,
+ (q15_t)0x882, (q15_t)0x1fe3, (q15_t)0x889, (q15_t)0x1fee, (q15_t)0x88f, (q15_t)0x1ff9, (q15_t)0x895, (q15_t)0x2004,
+ (q15_t)0x89b, (q15_t)0x200f, (q15_t)0x8a2, (q15_t)0x2019, (q15_t)0x8a8, (q15_t)0x2024, (q15_t)0x8ae, (q15_t)0x202f,
+ (q15_t)0x8b5, (q15_t)0x203a, (q15_t)0x8bb, (q15_t)0x2045, (q15_t)0x8c1, (q15_t)0x2050, (q15_t)0x8c8, (q15_t)0x205b,
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+ (q15_t)0x94f, (q15_t)0x213d, (q15_t)0x955, (q15_t)0x2148, (q15_t)0x95c, (q15_t)0x2153, (q15_t)0x963, (q15_t)0x215d,
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+ (q15_t)0x113e, (q15_t)0x2bb4, (q15_t)0x1147, (q15_t)0x2bbd, (q15_t)0x1150, (q15_t)0x2bc6, (q15_t)0x1158, (q15_t)0x2bcf,
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+ (q15_t)0x1278, (q15_t)0x2cfa, (q15_t)0x1281, (q15_t)0x2d03, (q15_t)0x128a, (q15_t)0x2d0c, (q15_t)0x1292, (q15_t)0x2d15,
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+ (q15_t)0x12e2, (q15_t)0x2d65, (q15_t)0x12eb, (q15_t)0x2d6e, (q15_t)0x12f4, (q15_t)0x2d76, (q15_t)0x12fd, (q15_t)0x2d7f,
+ (q15_t)0x1306, (q15_t)0x2d88, (q15_t)0x130f, (q15_t)0x2d91, (q15_t)0x1318, (q15_t)0x2d9a, (q15_t)0x1321, (q15_t)0x2da3,
+ (q15_t)0x132a, (q15_t)0x2dab, (q15_t)0x1333, (q15_t)0x2db4, (q15_t)0x133c, (q15_t)0x2dbd, (q15_t)0x1345, (q15_t)0x2dc6,
+ (q15_t)0x134e, (q15_t)0x2dcf, (q15_t)0x1357, (q15_t)0x2dd7, (q15_t)0x1360, (q15_t)0x2de0, (q15_t)0x1369, (q15_t)0x2de9,
+ (q15_t)0x1372, (q15_t)0x2df2, (q15_t)0x137b, (q15_t)0x2dfa, (q15_t)0x1384, (q15_t)0x2e03, (q15_t)0x138d, (q15_t)0x2e0c,
+ (q15_t)0x1396, (q15_t)0x2e15, (q15_t)0x139f, (q15_t)0x2e1d, (q15_t)0x13a8, (q15_t)0x2e26, (q15_t)0x13b1, (q15_t)0x2e2f,
+ (q15_t)0x13ba, (q15_t)0x2e37, (q15_t)0x13c3, (q15_t)0x2e40, (q15_t)0x13cc, (q15_t)0x2e49, (q15_t)0x13d5, (q15_t)0x2e51,
+ (q15_t)0x13df, (q15_t)0x2e5a, (q15_t)0x13e8, (q15_t)0x2e63, (q15_t)0x13f1, (q15_t)0x2e6b, (q15_t)0x13fa, (q15_t)0x2e74,
+ (q15_t)0x1403, (q15_t)0x2e7d, (q15_t)0x140c, (q15_t)0x2e85, (q15_t)0x1415, (q15_t)0x2e8e, (q15_t)0x141e, (q15_t)0x2e97,
+ (q15_t)0x1428, (q15_t)0x2e9f, (q15_t)0x1431, (q15_t)0x2ea8, (q15_t)0x143a, (q15_t)0x2eb0, (q15_t)0x1443, (q15_t)0x2eb9,
+ (q15_t)0x144c, (q15_t)0x2ec2, (q15_t)0x1455, (q15_t)0x2eca, (q15_t)0x145f, (q15_t)0x2ed3, (q15_t)0x1468, (q15_t)0x2edb,
+ (q15_t)0x1471, (q15_t)0x2ee4, (q15_t)0x147a, (q15_t)0x2eec, (q15_t)0x1483, (q15_t)0x2ef5, (q15_t)0x148d, (q15_t)0x2efd,
+ (q15_t)0x1496, (q15_t)0x2f06, (q15_t)0x149f, (q15_t)0x2f0e, (q15_t)0x14a8, (q15_t)0x2f17, (q15_t)0x14b2, (q15_t)0x2f20,
+ (q15_t)0x14bb, (q15_t)0x2f28, (q15_t)0x14c4, (q15_t)0x2f30, (q15_t)0x14cd, (q15_t)0x2f39, (q15_t)0x14d7, (q15_t)0x2f41,
+ (q15_t)0x14e0, (q15_t)0x2f4a, (q15_t)0x14e9, (q15_t)0x2f52, (q15_t)0x14f3, (q15_t)0x2f5b, (q15_t)0x14fc, (q15_t)0x2f63,
+ (q15_t)0x1505, (q15_t)0x2f6c, (q15_t)0x150e, (q15_t)0x2f74, (q15_t)0x1518, (q15_t)0x2f7d, (q15_t)0x1521, (q15_t)0x2f85,
+ (q15_t)0x152a, (q15_t)0x2f8d, (q15_t)0x1534, (q15_t)0x2f96, (q15_t)0x153d, (q15_t)0x2f9e, (q15_t)0x1547, (q15_t)0x2fa7,
+ (q15_t)0x1550, (q15_t)0x2faf, (q15_t)0x1559, (q15_t)0x2fb7, (q15_t)0x1563, (q15_t)0x2fc0, (q15_t)0x156c, (q15_t)0x2fc8,
+ (q15_t)0x1575, (q15_t)0x2fd0, (q15_t)0x157f, (q15_t)0x2fd9, (q15_t)0x1588, (q15_t)0x2fe1, (q15_t)0x1592, (q15_t)0x2fea,
+ (q15_t)0x159b, (q15_t)0x2ff2, (q15_t)0x15a4, (q15_t)0x2ffa, (q15_t)0x15ae, (q15_t)0x3002, (q15_t)0x15b7, (q15_t)0x300b,
+ (q15_t)0x15c1, (q15_t)0x3013, (q15_t)0x15ca, (q15_t)0x301b, (q15_t)0x15d4, (q15_t)0x3024, (q15_t)0x15dd, (q15_t)0x302c,
+ (q15_t)0x15e6, (q15_t)0x3034, (q15_t)0x15f0, (q15_t)0x303c, (q15_t)0x15f9, (q15_t)0x3045, (q15_t)0x1603, (q15_t)0x304d,
+ (q15_t)0x160c, (q15_t)0x3055, (q15_t)0x1616, (q15_t)0x305d, (q15_t)0x161f, (q15_t)0x3066, (q15_t)0x1629, (q15_t)0x306e,
+ (q15_t)0x1632, (q15_t)0x3076, (q15_t)0x163c, (q15_t)0x307e, (q15_t)0x1645, (q15_t)0x3087, (q15_t)0x164f, (q15_t)0x308f,
+ (q15_t)0x1659, (q15_t)0x3097, (q15_t)0x1662, (q15_t)0x309f, (q15_t)0x166c, (q15_t)0x30a7, (q15_t)0x1675, (q15_t)0x30af,
+ (q15_t)0x167f, (q15_t)0x30b8, (q15_t)0x1688, (q15_t)0x30c0, (q15_t)0x1692, (q15_t)0x30c8, (q15_t)0x169b, (q15_t)0x30d0,
+ (q15_t)0x16a5, (q15_t)0x30d8, (q15_t)0x16af, (q15_t)0x30e0, (q15_t)0x16b8, (q15_t)0x30e8, (q15_t)0x16c2, (q15_t)0x30f0,
+ (q15_t)0x16cb, (q15_t)0x30f9, (q15_t)0x16d5, (q15_t)0x3101, (q15_t)0x16df, (q15_t)0x3109, (q15_t)0x16e8, (q15_t)0x3111,
+ (q15_t)0x16f2, (q15_t)0x3119, (q15_t)0x16fc, (q15_t)0x3121, (q15_t)0x1705, (q15_t)0x3129, (q15_t)0x170f, (q15_t)0x3131,
+ (q15_t)0x1719, (q15_t)0x3139, (q15_t)0x1722, (q15_t)0x3141, (q15_t)0x172c, (q15_t)0x3149, (q15_t)0x1736, (q15_t)0x3151,
+ (q15_t)0x173f, (q15_t)0x3159, (q15_t)0x1749, (q15_t)0x3161, (q15_t)0x1753, (q15_t)0x3169, (q15_t)0x175c, (q15_t)0x3171,
+ (q15_t)0x1766, (q15_t)0x3179, (q15_t)0x1770, (q15_t)0x3181, (q15_t)0x177a, (q15_t)0x3189, (q15_t)0x1783, (q15_t)0x3191,
+ (q15_t)0x178d, (q15_t)0x3199, (q15_t)0x1797, (q15_t)0x31a1, (q15_t)0x17a0, (q15_t)0x31a9, (q15_t)0x17aa, (q15_t)0x31b1,
+ (q15_t)0x17b4, (q15_t)0x31b9, (q15_t)0x17be, (q15_t)0x31c0, (q15_t)0x17c8, (q15_t)0x31c8, (q15_t)0x17d1, (q15_t)0x31d0,
+ (q15_t)0x17db, (q15_t)0x31d8, (q15_t)0x17e5, (q15_t)0x31e0, (q15_t)0x17ef, (q15_t)0x31e8, (q15_t)0x17f8, (q15_t)0x31f0,
+ (q15_t)0x1802, (q15_t)0x31f8, (q15_t)0x180c, (q15_t)0x31ff, (q15_t)0x1816, (q15_t)0x3207, (q15_t)0x1820, (q15_t)0x320f,
+ (q15_t)0x182a, (q15_t)0x3217, (q15_t)0x1833, (q15_t)0x321f, (q15_t)0x183d, (q15_t)0x3227, (q15_t)0x1847, (q15_t)0x322e,
+ (q15_t)0x1851, (q15_t)0x3236, (q15_t)0x185b, (q15_t)0x323e, (q15_t)0x1865, (q15_t)0x3246, (q15_t)0x186f, (q15_t)0x324e,
+ (q15_t)0x1878, (q15_t)0x3255, (q15_t)0x1882, (q15_t)0x325d, (q15_t)0x188c, (q15_t)0x3265, (q15_t)0x1896, (q15_t)0x326d,
+ (q15_t)0x18a0, (q15_t)0x3274, (q15_t)0x18aa, (q15_t)0x327c, (q15_t)0x18b4, (q15_t)0x3284, (q15_t)0x18be, (q15_t)0x328b,
+ (q15_t)0x18c8, (q15_t)0x3293, (q15_t)0x18d2, (q15_t)0x329b, (q15_t)0x18dc, (q15_t)0x32a3, (q15_t)0x18e6, (q15_t)0x32aa,
+ (q15_t)0x18ef, (q15_t)0x32b2, (q15_t)0x18f9, (q15_t)0x32ba, (q15_t)0x1903, (q15_t)0x32c1, (q15_t)0x190d, (q15_t)0x32c9,
+ (q15_t)0x1917, (q15_t)0x32d0, (q15_t)0x1921, (q15_t)0x32d8, (q15_t)0x192b, (q15_t)0x32e0, (q15_t)0x1935, (q15_t)0x32e7,
+ (q15_t)0x193f, (q15_t)0x32ef, (q15_t)0x1949, (q15_t)0x32f7, (q15_t)0x1953, (q15_t)0x32fe, (q15_t)0x195d, (q15_t)0x3306,
+ (q15_t)0x1967, (q15_t)0x330d, (q15_t)0x1971, (q15_t)0x3315, (q15_t)0x197b, (q15_t)0x331d, (q15_t)0x1985, (q15_t)0x3324,
+ (q15_t)0x198f, (q15_t)0x332c, (q15_t)0x199a, (q15_t)0x3333, (q15_t)0x19a4, (q15_t)0x333b, (q15_t)0x19ae, (q15_t)0x3342,
+ (q15_t)0x19b8, (q15_t)0x334a, (q15_t)0x19c2, (q15_t)0x3351, (q15_t)0x19cc, (q15_t)0x3359, (q15_t)0x19d6, (q15_t)0x3360,
+ (q15_t)0x19e0, (q15_t)0x3368, (q15_t)0x19ea, (q15_t)0x336f, (q15_t)0x19f4, (q15_t)0x3377, (q15_t)0x19fe, (q15_t)0x337e,
+ (q15_t)0x1a08, (q15_t)0x3386, (q15_t)0x1a13, (q15_t)0x338d, (q15_t)0x1a1d, (q15_t)0x3395, (q15_t)0x1a27, (q15_t)0x339c,
+ (q15_t)0x1a31, (q15_t)0x33a3, (q15_t)0x1a3b, (q15_t)0x33ab, (q15_t)0x1a45, (q15_t)0x33b2, (q15_t)0x1a4f, (q15_t)0x33ba,
+ (q15_t)0x1a5a, (q15_t)0x33c1, (q15_t)0x1a64, (q15_t)0x33c8, (q15_t)0x1a6e, (q15_t)0x33d0, (q15_t)0x1a78, (q15_t)0x33d7,
+ (q15_t)0x1a82, (q15_t)0x33df, (q15_t)0x1a8c, (q15_t)0x33e6, (q15_t)0x1a97, (q15_t)0x33ed, (q15_t)0x1aa1, (q15_t)0x33f5,
+ (q15_t)0x1aab, (q15_t)0x33fc, (q15_t)0x1ab5, (q15_t)0x3403, (q15_t)0x1abf, (q15_t)0x340b, (q15_t)0x1aca, (q15_t)0x3412,
+ (q15_t)0x1ad4, (q15_t)0x3419, (q15_t)0x1ade, (q15_t)0x3420, (q15_t)0x1ae8, (q15_t)0x3428, (q15_t)0x1af3, (q15_t)0x342f,
+ (q15_t)0x1afd, (q15_t)0x3436, (q15_t)0x1b07, (q15_t)0x343e, (q15_t)0x1b11, (q15_t)0x3445, (q15_t)0x1b1c, (q15_t)0x344c,
+ (q15_t)0x1b26, (q15_t)0x3453, (q15_t)0x1b30, (q15_t)0x345b, (q15_t)0x1b3b, (q15_t)0x3462, (q15_t)0x1b45, (q15_t)0x3469,
+ (q15_t)0x1b4f, (q15_t)0x3470, (q15_t)0x1b59, (q15_t)0x3477, (q15_t)0x1b64, (q15_t)0x347f, (q15_t)0x1b6e, (q15_t)0x3486,
+ (q15_t)0x1b78, (q15_t)0x348d, (q15_t)0x1b83, (q15_t)0x3494, (q15_t)0x1b8d, (q15_t)0x349b, (q15_t)0x1b97, (q15_t)0x34a2,
+ (q15_t)0x1ba2, (q15_t)0x34aa, (q15_t)0x1bac, (q15_t)0x34b1, (q15_t)0x1bb6, (q15_t)0x34b8, (q15_t)0x1bc1, (q15_t)0x34bf,
+ (q15_t)0x1bcb, (q15_t)0x34c6, (q15_t)0x1bd5, (q15_t)0x34cd, (q15_t)0x1be0, (q15_t)0x34d4, (q15_t)0x1bea, (q15_t)0x34db,
+ (q15_t)0x1bf5, (q15_t)0x34e2, (q15_t)0x1bff, (q15_t)0x34ea, (q15_t)0x1c09, (q15_t)0x34f1, (q15_t)0x1c14, (q15_t)0x34f8,
+ (q15_t)0x1c1e, (q15_t)0x34ff, (q15_t)0x1c29, (q15_t)0x3506, (q15_t)0x1c33, (q15_t)0x350d, (q15_t)0x1c3d, (q15_t)0x3514,
+ (q15_t)0x1c48, (q15_t)0x351b, (q15_t)0x1c52, (q15_t)0x3522, (q15_t)0x1c5d, (q15_t)0x3529, (q15_t)0x1c67, (q15_t)0x3530,
+ (q15_t)0x1c72, (q15_t)0x3537, (q15_t)0x1c7c, (q15_t)0x353e, (q15_t)0x1c86, (q15_t)0x3545, (q15_t)0x1c91, (q15_t)0x354c,
+ (q15_t)0x1c9b, (q15_t)0x3553, (q15_t)0x1ca6, (q15_t)0x355a, (q15_t)0x1cb0, (q15_t)0x3561, (q15_t)0x1cbb, (q15_t)0x3567,
+ (q15_t)0x1cc5, (q15_t)0x356e, (q15_t)0x1cd0, (q15_t)0x3575, (q15_t)0x1cda, (q15_t)0x357c, (q15_t)0x1ce5, (q15_t)0x3583,
+ (q15_t)0x1cef, (q15_t)0x358a, (q15_t)0x1cfa, (q15_t)0x3591, (q15_t)0x1d04, (q15_t)0x3598, (q15_t)0x1d0f, (q15_t)0x359f,
+ (q15_t)0x1d19, (q15_t)0x35a5, (q15_t)0x1d24, (q15_t)0x35ac, (q15_t)0x1d2e, (q15_t)0x35b3, (q15_t)0x1d39, (q15_t)0x35ba,
+ (q15_t)0x1d44, (q15_t)0x35c1, (q15_t)0x1d4e, (q15_t)0x35c8, (q15_t)0x1d59, (q15_t)0x35ce, (q15_t)0x1d63, (q15_t)0x35d5,
+ (q15_t)0x1d6e, (q15_t)0x35dc, (q15_t)0x1d78, (q15_t)0x35e3, (q15_t)0x1d83, (q15_t)0x35ea, (q15_t)0x1d8e, (q15_t)0x35f0,
+ (q15_t)0x1d98, (q15_t)0x35f7, (q15_t)0x1da3, (q15_t)0x35fe, (q15_t)0x1dad, (q15_t)0x3605, (q15_t)0x1db8, (q15_t)0x360b,
+ (q15_t)0x1dc3, (q15_t)0x3612, (q15_t)0x1dcd, (q15_t)0x3619, (q15_t)0x1dd8, (q15_t)0x3620, (q15_t)0x1de2, (q15_t)0x3626,
+ (q15_t)0x1ded, (q15_t)0x362d, (q15_t)0x1df8, (q15_t)0x3634, (q15_t)0x1e02, (q15_t)0x363a, (q15_t)0x1e0d, (q15_t)0x3641,
+ (q15_t)0x1e18, (q15_t)0x3648, (q15_t)0x1e22, (q15_t)0x364e, (q15_t)0x1e2d, (q15_t)0x3655, (q15_t)0x1e38, (q15_t)0x365c,
+ (q15_t)0x1e42, (q15_t)0x3662, (q15_t)0x1e4d, (q15_t)0x3669, (q15_t)0x1e58, (q15_t)0x366f, (q15_t)0x1e62, (q15_t)0x3676,
+ (q15_t)0x1e6d, (q15_t)0x367d, (q15_t)0x1e78, (q15_t)0x3683, (q15_t)0x1e83, (q15_t)0x368a, (q15_t)0x1e8d, (q15_t)0x3690,
+ (q15_t)0x1e98, (q15_t)0x3697, (q15_t)0x1ea3, (q15_t)0x369d, (q15_t)0x1ead, (q15_t)0x36a4, (q15_t)0x1eb8, (q15_t)0x36ab,
+ (q15_t)0x1ec3, (q15_t)0x36b1, (q15_t)0x1ece, (q15_t)0x36b8, (q15_t)0x1ed8, (q15_t)0x36be, (q15_t)0x1ee3, (q15_t)0x36c5,
+ (q15_t)0x1eee, (q15_t)0x36cb, (q15_t)0x1ef9, (q15_t)0x36d2, (q15_t)0x1f03, (q15_t)0x36d8, (q15_t)0x1f0e, (q15_t)0x36df,
+ (q15_t)0x1f19, (q15_t)0x36e5, (q15_t)0x1f24, (q15_t)0x36eb, (q15_t)0x1f2f, (q15_t)0x36f2, (q15_t)0x1f39, (q15_t)0x36f8,
+ (q15_t)0x1f44, (q15_t)0x36ff, (q15_t)0x1f4f, (q15_t)0x3705, (q15_t)0x1f5a, (q15_t)0x370c, (q15_t)0x1f65, (q15_t)0x3712,
+ (q15_t)0x1f6f, (q15_t)0x3718, (q15_t)0x1f7a, (q15_t)0x371f, (q15_t)0x1f85, (q15_t)0x3725, (q15_t)0x1f90, (q15_t)0x372c,
+ (q15_t)0x1f9b, (q15_t)0x3732, (q15_t)0x1fa5, (q15_t)0x3738, (q15_t)0x1fb0, (q15_t)0x373f, (q15_t)0x1fbb, (q15_t)0x3745,
+ (q15_t)0x1fc6, (q15_t)0x374b, (q15_t)0x1fd1, (q15_t)0x3752, (q15_t)0x1fdc, (q15_t)0x3758, (q15_t)0x1fe7, (q15_t)0x375e,
+ (q15_t)0x1ff1, (q15_t)0x3765, (q15_t)0x1ffc, (q15_t)0x376b, (q15_t)0x2007, (q15_t)0x3771, (q15_t)0x2012, (q15_t)0x3777,
+ (q15_t)0x201d, (q15_t)0x377e, (q15_t)0x2028, (q15_t)0x3784, (q15_t)0x2033, (q15_t)0x378a, (q15_t)0x203e, (q15_t)0x3790,
+ (q15_t)0x2049, (q15_t)0x3797, (q15_t)0x2054, (q15_t)0x379d, (q15_t)0x205e, (q15_t)0x37a3, (q15_t)0x2069, (q15_t)0x37a9,
+ (q15_t)0x2074, (q15_t)0x37b0, (q15_t)0x207f, (q15_t)0x37b6, (q15_t)0x208a, (q15_t)0x37bc, (q15_t)0x2095, (q15_t)0x37c2,
+ (q15_t)0x20a0, (q15_t)0x37c8, (q15_t)0x20ab, (q15_t)0x37ce, (q15_t)0x20b6, (q15_t)0x37d5, (q15_t)0x20c1, (q15_t)0x37db,
+ (q15_t)0x20cc, (q15_t)0x37e1, (q15_t)0x20d7, (q15_t)0x37e7, (q15_t)0x20e2, (q15_t)0x37ed, (q15_t)0x20ed, (q15_t)0x37f3,
+ (q15_t)0x20f8, (q15_t)0x37f9, (q15_t)0x2103, (q15_t)0x37ff, (q15_t)0x210e, (q15_t)0x3805, (q15_t)0x2119, (q15_t)0x380b,
+ (q15_t)0x2124, (q15_t)0x3812, (q15_t)0x212f, (q15_t)0x3818, (q15_t)0x213a, (q15_t)0x381e, (q15_t)0x2145, (q15_t)0x3824,
+ (q15_t)0x2150, (q15_t)0x382a, (q15_t)0x215b, (q15_t)0x3830, (q15_t)0x2166, (q15_t)0x3836, (q15_t)0x2171, (q15_t)0x383c,
+ (q15_t)0x217c, (q15_t)0x3842, (q15_t)0x2187, (q15_t)0x3848, (q15_t)0x2192, (q15_t)0x384e, (q15_t)0x219d, (q15_t)0x3854,
+ (q15_t)0x21a8, (q15_t)0x385a, (q15_t)0x21b3, (q15_t)0x3860, (q15_t)0x21be, (q15_t)0x3866, (q15_t)0x21ca, (q15_t)0x386b,
+ (q15_t)0x21d5, (q15_t)0x3871, (q15_t)0x21e0, (q15_t)0x3877, (q15_t)0x21eb, (q15_t)0x387d, (q15_t)0x21f6, (q15_t)0x3883,
+ (q15_t)0x2201, (q15_t)0x3889, (q15_t)0x220c, (q15_t)0x388f, (q15_t)0x2217, (q15_t)0x3895, (q15_t)0x2222, (q15_t)0x389b,
+ (q15_t)0x222d, (q15_t)0x38a1, (q15_t)0x2239, (q15_t)0x38a6, (q15_t)0x2244, (q15_t)0x38ac, (q15_t)0x224f, (q15_t)0x38b2,
+ (q15_t)0x225a, (q15_t)0x38b8, (q15_t)0x2265, (q15_t)0x38be, (q15_t)0x2270, (q15_t)0x38c3, (q15_t)0x227b, (q15_t)0x38c9,
+ (q15_t)0x2287, (q15_t)0x38cf, (q15_t)0x2292, (q15_t)0x38d5, (q15_t)0x229d, (q15_t)0x38db, (q15_t)0x22a8, (q15_t)0x38e0,
+ (q15_t)0x22b3, (q15_t)0x38e6, (q15_t)0x22be, (q15_t)0x38ec, (q15_t)0x22ca, (q15_t)0x38f2, (q15_t)0x22d5, (q15_t)0x38f7,
+ (q15_t)0x22e0, (q15_t)0x38fd, (q15_t)0x22eb, (q15_t)0x3903, (q15_t)0x22f6, (q15_t)0x3909, (q15_t)0x2301, (q15_t)0x390e,
+ (q15_t)0x230d, (q15_t)0x3914, (q15_t)0x2318, (q15_t)0x391a, (q15_t)0x2323, (q15_t)0x391f, (q15_t)0x232e, (q15_t)0x3925,
+ (q15_t)0x233a, (q15_t)0x392b, (q15_t)0x2345, (q15_t)0x3930, (q15_t)0x2350, (q15_t)0x3936, (q15_t)0x235b, (q15_t)0x393b,
+ (q15_t)0x2367, (q15_t)0x3941, (q15_t)0x2372, (q15_t)0x3947, (q15_t)0x237d, (q15_t)0x394c, (q15_t)0x2388, (q15_t)0x3952,
+ (q15_t)0x2394, (q15_t)0x3958, (q15_t)0x239f, (q15_t)0x395d, (q15_t)0x23aa, (q15_t)0x3963, (q15_t)0x23b5, (q15_t)0x3968,
+ (q15_t)0x23c1, (q15_t)0x396e, (q15_t)0x23cc, (q15_t)0x3973, (q15_t)0x23d7, (q15_t)0x3979, (q15_t)0x23e2, (q15_t)0x397e,
+ (q15_t)0x23ee, (q15_t)0x3984, (q15_t)0x23f9, (q15_t)0x3989, (q15_t)0x2404, (q15_t)0x398f, (q15_t)0x2410, (q15_t)0x3994,
+ (q15_t)0x241b, (q15_t)0x399a, (q15_t)0x2426, (q15_t)0x399f, (q15_t)0x2432, (q15_t)0x39a5, (q15_t)0x243d, (q15_t)0x39aa,
+ (q15_t)0x2448, (q15_t)0x39b0, (q15_t)0x2454, (q15_t)0x39b5, (q15_t)0x245f, (q15_t)0x39bb, (q15_t)0x246a, (q15_t)0x39c0,
+ (q15_t)0x2476, (q15_t)0x39c5, (q15_t)0x2481, (q15_t)0x39cb, (q15_t)0x248c, (q15_t)0x39d0, (q15_t)0x2498, (q15_t)0x39d6,
+ (q15_t)0x24a3, (q15_t)0x39db, (q15_t)0x24ae, (q15_t)0x39e0, (q15_t)0x24ba, (q15_t)0x39e6, (q15_t)0x24c5, (q15_t)0x39eb,
+ (q15_t)0x24d0, (q15_t)0x39f0, (q15_t)0x24dc, (q15_t)0x39f6, (q15_t)0x24e7, (q15_t)0x39fb, (q15_t)0x24f3, (q15_t)0x3a00,
+ (q15_t)0x24fe, (q15_t)0x3a06, (q15_t)0x2509, (q15_t)0x3a0b, (q15_t)0x2515, (q15_t)0x3a10, (q15_t)0x2520, (q15_t)0x3a16,
+ (q15_t)0x252c, (q15_t)0x3a1b, (q15_t)0x2537, (q15_t)0x3a20, (q15_t)0x2542, (q15_t)0x3a25, (q15_t)0x254e, (q15_t)0x3a2b,
+ (q15_t)0x2559, (q15_t)0x3a30, (q15_t)0x2565, (q15_t)0x3a35, (q15_t)0x2570, (q15_t)0x3a3a, (q15_t)0x257c, (q15_t)0x3a3f,
+ (q15_t)0x2587, (q15_t)0x3a45, (q15_t)0x2592, (q15_t)0x3a4a, (q15_t)0x259e, (q15_t)0x3a4f, (q15_t)0x25a9, (q15_t)0x3a54,
+ (q15_t)0x25b5, (q15_t)0x3a59, (q15_t)0x25c0, (q15_t)0x3a5f, (q15_t)0x25cc, (q15_t)0x3a64, (q15_t)0x25d7, (q15_t)0x3a69,
+ (q15_t)0x25e3, (q15_t)0x3a6e, (q15_t)0x25ee, (q15_t)0x3a73, (q15_t)0x25fa, (q15_t)0x3a78, (q15_t)0x2605, (q15_t)0x3a7d,
+ (q15_t)0x2611, (q15_t)0x3a82, (q15_t)0x261c, (q15_t)0x3a88, (q15_t)0x2628, (q15_t)0x3a8d, (q15_t)0x2633, (q15_t)0x3a92,
+ (q15_t)0x263f, (q15_t)0x3a97, (q15_t)0x264a, (q15_t)0x3a9c, (q15_t)0x2656, (q15_t)0x3aa1, (q15_t)0x2661, (q15_t)0x3aa6,
+ (q15_t)0x266d, (q15_t)0x3aab, (q15_t)0x2678, (q15_t)0x3ab0, (q15_t)0x2684, (q15_t)0x3ab5, (q15_t)0x268f, (q15_t)0x3aba,
+ (q15_t)0x269b, (q15_t)0x3abf, (q15_t)0x26a6, (q15_t)0x3ac4, (q15_t)0x26b2, (q15_t)0x3ac9, (q15_t)0x26bd, (q15_t)0x3ace,
+ (q15_t)0x26c9, (q15_t)0x3ad3, (q15_t)0x26d4, (q15_t)0x3ad8, (q15_t)0x26e0, (q15_t)0x3add, (q15_t)0x26ec, (q15_t)0x3ae2,
+ (q15_t)0x26f7, (q15_t)0x3ae6, (q15_t)0x2703, (q15_t)0x3aeb, (q15_t)0x270e, (q15_t)0x3af0, (q15_t)0x271a, (q15_t)0x3af5,
+ (q15_t)0x2725, (q15_t)0x3afa, (q15_t)0x2731, (q15_t)0x3aff, (q15_t)0x273d, (q15_t)0x3b04, (q15_t)0x2748, (q15_t)0x3b09,
+ (q15_t)0x2754, (q15_t)0x3b0e, (q15_t)0x275f, (q15_t)0x3b12, (q15_t)0x276b, (q15_t)0x3b17, (q15_t)0x2777, (q15_t)0x3b1c,
+ (q15_t)0x2782, (q15_t)0x3b21, (q15_t)0x278e, (q15_t)0x3b26, (q15_t)0x2799, (q15_t)0x3b2a, (q15_t)0x27a5, (q15_t)0x3b2f,
+ (q15_t)0x27b1, (q15_t)0x3b34, (q15_t)0x27bc, (q15_t)0x3b39, (q15_t)0x27c8, (q15_t)0x3b3e, (q15_t)0x27d3, (q15_t)0x3b42,
+ (q15_t)0x27df, (q15_t)0x3b47, (q15_t)0x27eb, (q15_t)0x3b4c, (q15_t)0x27f6, (q15_t)0x3b50, (q15_t)0x2802, (q15_t)0x3b55,
+ (q15_t)0x280e, (q15_t)0x3b5a, (q15_t)0x2819, (q15_t)0x3b5f, (q15_t)0x2825, (q15_t)0x3b63, (q15_t)0x2831, (q15_t)0x3b68,
+ (q15_t)0x283c, (q15_t)0x3b6d, (q15_t)0x2848, (q15_t)0x3b71, (q15_t)0x2854, (q15_t)0x3b76, (q15_t)0x285f, (q15_t)0x3b7b,
+ (q15_t)0x286b, (q15_t)0x3b7f, (q15_t)0x2877, (q15_t)0x3b84, (q15_t)0x2882, (q15_t)0x3b88, (q15_t)0x288e, (q15_t)0x3b8d,
+ (q15_t)0x289a, (q15_t)0x3b92, (q15_t)0x28a5, (q15_t)0x3b96, (q15_t)0x28b1, (q15_t)0x3b9b, (q15_t)0x28bd, (q15_t)0x3b9f,
+ (q15_t)0x28c9, (q15_t)0x3ba4, (q15_t)0x28d4, (q15_t)0x3ba9, (q15_t)0x28e0, (q15_t)0x3bad, (q15_t)0x28ec, (q15_t)0x3bb2,
+ (q15_t)0x28f7, (q15_t)0x3bb6, (q15_t)0x2903, (q15_t)0x3bbb, (q15_t)0x290f, (q15_t)0x3bbf, (q15_t)0x291b, (q15_t)0x3bc4,
+ (q15_t)0x2926, (q15_t)0x3bc8, (q15_t)0x2932, (q15_t)0x3bcd, (q15_t)0x293e, (q15_t)0x3bd1, (q15_t)0x294a, (q15_t)0x3bd6,
+ (q15_t)0x2955, (q15_t)0x3bda, (q15_t)0x2961, (q15_t)0x3bde, (q15_t)0x296d, (q15_t)0x3be3, (q15_t)0x2979, (q15_t)0x3be7,
+ (q15_t)0x2984, (q15_t)0x3bec, (q15_t)0x2990, (q15_t)0x3bf0, (q15_t)0x299c, (q15_t)0x3bf5, (q15_t)0x29a8, (q15_t)0x3bf9,
+ (q15_t)0x29b4, (q15_t)0x3bfd, (q15_t)0x29bf, (q15_t)0x3c02, (q15_t)0x29cb, (q15_t)0x3c06, (q15_t)0x29d7, (q15_t)0x3c0a,
+ (q15_t)0x29e3, (q15_t)0x3c0f, (q15_t)0x29ee, (q15_t)0x3c13, (q15_t)0x29fa, (q15_t)0x3c17, (q15_t)0x2a06, (q15_t)0x3c1c,
+ (q15_t)0x2a12, (q15_t)0x3c20, (q15_t)0x2a1e, (q15_t)0x3c24, (q15_t)0x2a29, (q15_t)0x3c29, (q15_t)0x2a35, (q15_t)0x3c2d,
+ (q15_t)0x2a41, (q15_t)0x3c31, (q15_t)0x2a4d, (q15_t)0x3c36, (q15_t)0x2a59, (q15_t)0x3c3a, (q15_t)0x2a65, (q15_t)0x3c3e,
+ (q15_t)0x2a70, (q15_t)0x3c42, (q15_t)0x2a7c, (q15_t)0x3c46, (q15_t)0x2a88, (q15_t)0x3c4b, (q15_t)0x2a94, (q15_t)0x3c4f,
+ (q15_t)0x2aa0, (q15_t)0x3c53, (q15_t)0x2aac, (q15_t)0x3c57, (q15_t)0x2ab7, (q15_t)0x3c5b, (q15_t)0x2ac3, (q15_t)0x3c60,
+ (q15_t)0x2acf, (q15_t)0x3c64, (q15_t)0x2adb, (q15_t)0x3c68, (q15_t)0x2ae7, (q15_t)0x3c6c, (q15_t)0x2af3, (q15_t)0x3c70,
+ (q15_t)0x2aff, (q15_t)0x3c74, (q15_t)0x2b0a, (q15_t)0x3c79, (q15_t)0x2b16, (q15_t)0x3c7d, (q15_t)0x2b22, (q15_t)0x3c81,
+ (q15_t)0x2b2e, (q15_t)0x3c85, (q15_t)0x2b3a, (q15_t)0x3c89, (q15_t)0x2b46, (q15_t)0x3c8d, (q15_t)0x2b52, (q15_t)0x3c91,
+ (q15_t)0x2b5e, (q15_t)0x3c95, (q15_t)0x2b6a, (q15_t)0x3c99, (q15_t)0x2b75, (q15_t)0x3c9d, (q15_t)0x2b81, (q15_t)0x3ca1,
+ (q15_t)0x2b8d, (q15_t)0x3ca5, (q15_t)0x2b99, (q15_t)0x3ca9, (q15_t)0x2ba5, (q15_t)0x3cad, (q15_t)0x2bb1, (q15_t)0x3cb1,
+ (q15_t)0x2bbd, (q15_t)0x3cb5, (q15_t)0x2bc9, (q15_t)0x3cb9, (q15_t)0x2bd5, (q15_t)0x3cbd, (q15_t)0x2be1, (q15_t)0x3cc1,
+ (q15_t)0x2bed, (q15_t)0x3cc5, (q15_t)0x2bf9, (q15_t)0x3cc9, (q15_t)0x2c05, (q15_t)0x3ccd, (q15_t)0x2c10, (q15_t)0x3cd1,
+ (q15_t)0x2c1c, (q15_t)0x3cd5, (q15_t)0x2c28, (q15_t)0x3cd9, (q15_t)0x2c34, (q15_t)0x3cdd, (q15_t)0x2c40, (q15_t)0x3ce0,
+ (q15_t)0x2c4c, (q15_t)0x3ce4, (q15_t)0x2c58, (q15_t)0x3ce8, (q15_t)0x2c64, (q15_t)0x3cec, (q15_t)0x2c70, (q15_t)0x3cf0,
+ (q15_t)0x2c7c, (q15_t)0x3cf4, (q15_t)0x2c88, (q15_t)0x3cf8, (q15_t)0x2c94, (q15_t)0x3cfb, (q15_t)0x2ca0, (q15_t)0x3cff,
+ (q15_t)0x2cac, (q15_t)0x3d03, (q15_t)0x2cb8, (q15_t)0x3d07, (q15_t)0x2cc4, (q15_t)0x3d0b, (q15_t)0x2cd0, (q15_t)0x3d0e,
+ (q15_t)0x2cdc, (q15_t)0x3d12, (q15_t)0x2ce8, (q15_t)0x3d16, (q15_t)0x2cf4, (q15_t)0x3d1a, (q15_t)0x2d00, (q15_t)0x3d1d,
+ (q15_t)0x2d0c, (q15_t)0x3d21, (q15_t)0x2d18, (q15_t)0x3d25, (q15_t)0x2d24, (q15_t)0x3d28, (q15_t)0x2d30, (q15_t)0x3d2c,
+ (q15_t)0x2d3c, (q15_t)0x3d30, (q15_t)0x2d48, (q15_t)0x3d34, (q15_t)0x2d54, (q15_t)0x3d37, (q15_t)0x2d60, (q15_t)0x3d3b,
+ (q15_t)0x2d6c, (q15_t)0x3d3f, (q15_t)0x2d78, (q15_t)0x3d42, (q15_t)0x2d84, (q15_t)0x3d46, (q15_t)0x2d90, (q15_t)0x3d49,
+ (q15_t)0x2d9c, (q15_t)0x3d4d, (q15_t)0x2da8, (q15_t)0x3d51, (q15_t)0x2db4, (q15_t)0x3d54, (q15_t)0x2dc0, (q15_t)0x3d58,
+ (q15_t)0x2dcc, (q15_t)0x3d5b, (q15_t)0x2dd8, (q15_t)0x3d5f, (q15_t)0x2de4, (q15_t)0x3d63, (q15_t)0x2df0, (q15_t)0x3d66,
+ (q15_t)0x2dfc, (q15_t)0x3d6a, (q15_t)0x2e09, (q15_t)0x3d6d, (q15_t)0x2e15, (q15_t)0x3d71, (q15_t)0x2e21, (q15_t)0x3d74,
+ (q15_t)0x2e2d, (q15_t)0x3d78, (q15_t)0x2e39, (q15_t)0x3d7b, (q15_t)0x2e45, (q15_t)0x3d7f, (q15_t)0x2e51, (q15_t)0x3d82,
+ (q15_t)0x2e5d, (q15_t)0x3d86, (q15_t)0x2e69, (q15_t)0x3d89, (q15_t)0x2e75, (q15_t)0x3d8d, (q15_t)0x2e81, (q15_t)0x3d90,
+ (q15_t)0x2e8d, (q15_t)0x3d93, (q15_t)0x2e99, (q15_t)0x3d97, (q15_t)0x2ea6, (q15_t)0x3d9a, (q15_t)0x2eb2, (q15_t)0x3d9e,
+ (q15_t)0x2ebe, (q15_t)0x3da1, (q15_t)0x2eca, (q15_t)0x3da4, (q15_t)0x2ed6, (q15_t)0x3da8, (q15_t)0x2ee2, (q15_t)0x3dab,
+ (q15_t)0x2eee, (q15_t)0x3daf, (q15_t)0x2efa, (q15_t)0x3db2, (q15_t)0x2f06, (q15_t)0x3db5, (q15_t)0x2f13, (q15_t)0x3db9,
+ (q15_t)0x2f1f, (q15_t)0x3dbc, (q15_t)0x2f2b, (q15_t)0x3dbf, (q15_t)0x2f37, (q15_t)0x3dc2, (q15_t)0x2f43, (q15_t)0x3dc6,
+ (q15_t)0x2f4f, (q15_t)0x3dc9, (q15_t)0x2f5b, (q15_t)0x3dcc, (q15_t)0x2f67, (q15_t)0x3dd0, (q15_t)0x2f74, (q15_t)0x3dd3,
+ (q15_t)0x2f80, (q15_t)0x3dd6, (q15_t)0x2f8c, (q15_t)0x3dd9, (q15_t)0x2f98, (q15_t)0x3ddd, (q15_t)0x2fa4, (q15_t)0x3de0,
+ (q15_t)0x2fb0, (q15_t)0x3de3, (q15_t)0x2fbc, (q15_t)0x3de6, (q15_t)0x2fc9, (q15_t)0x3de9, (q15_t)0x2fd5, (q15_t)0x3ded,
+ (q15_t)0x2fe1, (q15_t)0x3df0, (q15_t)0x2fed, (q15_t)0x3df3, (q15_t)0x2ff9, (q15_t)0x3df6, (q15_t)0x3005, (q15_t)0x3df9,
+ (q15_t)0x3012, (q15_t)0x3dfc, (q15_t)0x301e, (q15_t)0x3dff, (q15_t)0x302a, (q15_t)0x3e03, (q15_t)0x3036, (q15_t)0x3e06,
+ (q15_t)0x3042, (q15_t)0x3e09, (q15_t)0x304e, (q15_t)0x3e0c, (q15_t)0x305b, (q15_t)0x3e0f, (q15_t)0x3067, (q15_t)0x3e12,
+ (q15_t)0x3073, (q15_t)0x3e15, (q15_t)0x307f, (q15_t)0x3e18, (q15_t)0x308b, (q15_t)0x3e1b, (q15_t)0x3098, (q15_t)0x3e1e,
+ (q15_t)0x30a4, (q15_t)0x3e21, (q15_t)0x30b0, (q15_t)0x3e24, (q15_t)0x30bc, (q15_t)0x3e27, (q15_t)0x30c8, (q15_t)0x3e2a,
+ (q15_t)0x30d5, (q15_t)0x3e2d, (q15_t)0x30e1, (q15_t)0x3e30, (q15_t)0x30ed, (q15_t)0x3e33, (q15_t)0x30f9, (q15_t)0x3e36,
+ (q15_t)0x3105, (q15_t)0x3e39, (q15_t)0x3112, (q15_t)0x3e3c, (q15_t)0x311e, (q15_t)0x3e3f, (q15_t)0x312a, (q15_t)0x3e42,
+ (q15_t)0x3136, (q15_t)0x3e45, (q15_t)0x3143, (q15_t)0x3e48, (q15_t)0x314f, (q15_t)0x3e4a, (q15_t)0x315b, (q15_t)0x3e4d,
+ (q15_t)0x3167, (q15_t)0x3e50, (q15_t)0x3174, (q15_t)0x3e53, (q15_t)0x3180, (q15_t)0x3e56, (q15_t)0x318c, (q15_t)0x3e59,
+ (q15_t)0x3198, (q15_t)0x3e5c, (q15_t)0x31a4, (q15_t)0x3e5e, (q15_t)0x31b1, (q15_t)0x3e61, (q15_t)0x31bd, (q15_t)0x3e64,
+ (q15_t)0x31c9, (q15_t)0x3e67, (q15_t)0x31d5, (q15_t)0x3e6a, (q15_t)0x31e2, (q15_t)0x3e6c, (q15_t)0x31ee, (q15_t)0x3e6f,
+ (q15_t)0x31fa, (q15_t)0x3e72, (q15_t)0x3207, (q15_t)0x3e75, (q15_t)0x3213, (q15_t)0x3e77, (q15_t)0x321f, (q15_t)0x3e7a,
+ (q15_t)0x322b, (q15_t)0x3e7d, (q15_t)0x3238, (q15_t)0x3e80, (q15_t)0x3244, (q15_t)0x3e82, (q15_t)0x3250, (q15_t)0x3e85,
+ (q15_t)0x325c, (q15_t)0x3e88, (q15_t)0x3269, (q15_t)0x3e8a, (q15_t)0x3275, (q15_t)0x3e8d, (q15_t)0x3281, (q15_t)0x3e90,
+ (q15_t)0x328e, (q15_t)0x3e92, (q15_t)0x329a, (q15_t)0x3e95, (q15_t)0x32a6, (q15_t)0x3e98, (q15_t)0x32b2, (q15_t)0x3e9a,
+ (q15_t)0x32bf, (q15_t)0x3e9d, (q15_t)0x32cb, (q15_t)0x3e9f, (q15_t)0x32d7, (q15_t)0x3ea2, (q15_t)0x32e4, (q15_t)0x3ea5,
+ (q15_t)0x32f0, (q15_t)0x3ea7, (q15_t)0x32fc, (q15_t)0x3eaa, (q15_t)0x3308, (q15_t)0x3eac, (q15_t)0x3315, (q15_t)0x3eaf,
+ (q15_t)0x3321, (q15_t)0x3eb1, (q15_t)0x332d, (q15_t)0x3eb4, (q15_t)0x333a, (q15_t)0x3eb6, (q15_t)0x3346, (q15_t)0x3eb9,
+ (q15_t)0x3352, (q15_t)0x3ebb, (q15_t)0x335f, (q15_t)0x3ebe, (q15_t)0x336b, (q15_t)0x3ec0, (q15_t)0x3377, (q15_t)0x3ec3,
+ (q15_t)0x3384, (q15_t)0x3ec5, (q15_t)0x3390, (q15_t)0x3ec8, (q15_t)0x339c, (q15_t)0x3eca, (q15_t)0x33a9, (q15_t)0x3ecc,
+ (q15_t)0x33b5, (q15_t)0x3ecf, (q15_t)0x33c1, (q15_t)0x3ed1, (q15_t)0x33ce, (q15_t)0x3ed4, (q15_t)0x33da, (q15_t)0x3ed6,
+ (q15_t)0x33e6, (q15_t)0x3ed8, (q15_t)0x33f3, (q15_t)0x3edb, (q15_t)0x33ff, (q15_t)0x3edd, (q15_t)0x340b, (q15_t)0x3ee0,
+ (q15_t)0x3418, (q15_t)0x3ee2, (q15_t)0x3424, (q15_t)0x3ee4, (q15_t)0x3430, (q15_t)0x3ee7, (q15_t)0x343d, (q15_t)0x3ee9,
+ (q15_t)0x3449, (q15_t)0x3eeb, (q15_t)0x3455, (q15_t)0x3eed, (q15_t)0x3462, (q15_t)0x3ef0, (q15_t)0x346e, (q15_t)0x3ef2,
+ (q15_t)0x347b, (q15_t)0x3ef4, (q15_t)0x3487, (q15_t)0x3ef7, (q15_t)0x3493, (q15_t)0x3ef9, (q15_t)0x34a0, (q15_t)0x3efb,
+ (q15_t)0x34ac, (q15_t)0x3efd, (q15_t)0x34b8, (q15_t)0x3f00, (q15_t)0x34c5, (q15_t)0x3f02, (q15_t)0x34d1, (q15_t)0x3f04,
+ (q15_t)0x34dd, (q15_t)0x3f06, (q15_t)0x34ea, (q15_t)0x3f08, (q15_t)0x34f6, (q15_t)0x3f0a, (q15_t)0x3503, (q15_t)0x3f0d,
+ (q15_t)0x350f, (q15_t)0x3f0f, (q15_t)0x351b, (q15_t)0x3f11, (q15_t)0x3528, (q15_t)0x3f13, (q15_t)0x3534, (q15_t)0x3f15,
+ (q15_t)0x3540, (q15_t)0x3f17, (q15_t)0x354d, (q15_t)0x3f19, (q15_t)0x3559, (q15_t)0x3f1c, (q15_t)0x3566, (q15_t)0x3f1e,
+ (q15_t)0x3572, (q15_t)0x3f20, (q15_t)0x357e, (q15_t)0x3f22, (q15_t)0x358b, (q15_t)0x3f24, (q15_t)0x3597, (q15_t)0x3f26,
+ (q15_t)0x35a4, (q15_t)0x3f28, (q15_t)0x35b0, (q15_t)0x3f2a, (q15_t)0x35bc, (q15_t)0x3f2c, (q15_t)0x35c9, (q15_t)0x3f2e,
+ (q15_t)0x35d5, (q15_t)0x3f30, (q15_t)0x35e2, (q15_t)0x3f32, (q15_t)0x35ee, (q15_t)0x3f34, (q15_t)0x35fa, (q15_t)0x3f36,
+ (q15_t)0x3607, (q15_t)0x3f38, (q15_t)0x3613, (q15_t)0x3f3a, (q15_t)0x3620, (q15_t)0x3f3c, (q15_t)0x362c, (q15_t)0x3f3e,
+ (q15_t)0x3639, (q15_t)0x3f40, (q15_t)0x3645, (q15_t)0x3f42, (q15_t)0x3651, (q15_t)0x3f43, (q15_t)0x365e, (q15_t)0x3f45,
+ (q15_t)0x366a, (q15_t)0x3f47, (q15_t)0x3677, (q15_t)0x3f49, (q15_t)0x3683, (q15_t)0x3f4b, (q15_t)0x3690, (q15_t)0x3f4d,
+ (q15_t)0x369c, (q15_t)0x3f4f, (q15_t)0x36a8, (q15_t)0x3f51, (q15_t)0x36b5, (q15_t)0x3f52, (q15_t)0x36c1, (q15_t)0x3f54,
+ (q15_t)0x36ce, (q15_t)0x3f56, (q15_t)0x36da, (q15_t)0x3f58, (q15_t)0x36e7, (q15_t)0x3f5a, (q15_t)0x36f3, (q15_t)0x3f5b,
+ (q15_t)0x36ff, (q15_t)0x3f5d, (q15_t)0x370c, (q15_t)0x3f5f, (q15_t)0x3718, (q15_t)0x3f61, (q15_t)0x3725, (q15_t)0x3f62,
+ (q15_t)0x3731, (q15_t)0x3f64, (q15_t)0x373e, (q15_t)0x3f66, (q15_t)0x374a, (q15_t)0x3f68, (q15_t)0x3757, (q15_t)0x3f69,
+ (q15_t)0x3763, (q15_t)0x3f6b, (q15_t)0x376f, (q15_t)0x3f6d, (q15_t)0x377c, (q15_t)0x3f6e, (q15_t)0x3788, (q15_t)0x3f70,
+ (q15_t)0x3795, (q15_t)0x3f72, (q15_t)0x37a1, (q15_t)0x3f73, (q15_t)0x37ae, (q15_t)0x3f75, (q15_t)0x37ba, (q15_t)0x3f77,
+ (q15_t)0x37c7, (q15_t)0x3f78, (q15_t)0x37d3, (q15_t)0x3f7a, (q15_t)0x37e0, (q15_t)0x3f7b, (q15_t)0x37ec, (q15_t)0x3f7d,
+ (q15_t)0x37f9, (q15_t)0x3f7f, (q15_t)0x3805, (q15_t)0x3f80, (q15_t)0x3811, (q15_t)0x3f82, (q15_t)0x381e, (q15_t)0x3f83,
+ (q15_t)0x382a, (q15_t)0x3f85, (q15_t)0x3837, (q15_t)0x3f86, (q15_t)0x3843, (q15_t)0x3f88, (q15_t)0x3850, (q15_t)0x3f89,
+ (q15_t)0x385c, (q15_t)0x3f8b, (q15_t)0x3869, (q15_t)0x3f8c, (q15_t)0x3875, (q15_t)0x3f8e, (q15_t)0x3882, (q15_t)0x3f8f,
+ (q15_t)0x388e, (q15_t)0x3f91, (q15_t)0x389b, (q15_t)0x3f92, (q15_t)0x38a7, (q15_t)0x3f94, (q15_t)0x38b4, (q15_t)0x3f95,
+ (q15_t)0x38c0, (q15_t)0x3f97, (q15_t)0x38cd, (q15_t)0x3f98, (q15_t)0x38d9, (q15_t)0x3f99, (q15_t)0x38e6, (q15_t)0x3f9b,
+ (q15_t)0x38f2, (q15_t)0x3f9c, (q15_t)0x38ff, (q15_t)0x3f9e, (q15_t)0x390b, (q15_t)0x3f9f, (q15_t)0x3918, (q15_t)0x3fa0,
+ (q15_t)0x3924, (q15_t)0x3fa2, (q15_t)0x3931, (q15_t)0x3fa3, (q15_t)0x393d, (q15_t)0x3fa4, (q15_t)0x394a, (q15_t)0x3fa6,
+ (q15_t)0x3956, (q15_t)0x3fa7, (q15_t)0x3963, (q15_t)0x3fa8, (q15_t)0x396f, (q15_t)0x3faa, (q15_t)0x397c, (q15_t)0x3fab,
+ (q15_t)0x3988, (q15_t)0x3fac, (q15_t)0x3995, (q15_t)0x3fad, (q15_t)0x39a1, (q15_t)0x3faf, (q15_t)0x39ae, (q15_t)0x3fb0,
+ (q15_t)0x39ba, (q15_t)0x3fb1, (q15_t)0x39c7, (q15_t)0x3fb2, (q15_t)0x39d3, (q15_t)0x3fb4, (q15_t)0x39e0, (q15_t)0x3fb5,
+ (q15_t)0x39ec, (q15_t)0x3fb6, (q15_t)0x39f9, (q15_t)0x3fb7, (q15_t)0x3a05, (q15_t)0x3fb8, (q15_t)0x3a12, (q15_t)0x3fb9,
+ (q15_t)0x3a1e, (q15_t)0x3fbb, (q15_t)0x3a2b, (q15_t)0x3fbc, (q15_t)0x3a37, (q15_t)0x3fbd, (q15_t)0x3a44, (q15_t)0x3fbe,
+ (q15_t)0x3a50, (q15_t)0x3fbf, (q15_t)0x3a5d, (q15_t)0x3fc0, (q15_t)0x3a69, (q15_t)0x3fc1, (q15_t)0x3a76, (q15_t)0x3fc3,
+ (q15_t)0x3a82, (q15_t)0x3fc4, (q15_t)0x3a8f, (q15_t)0x3fc5, (q15_t)0x3a9b, (q15_t)0x3fc6, (q15_t)0x3aa8, (q15_t)0x3fc7,
+ (q15_t)0x3ab4, (q15_t)0x3fc8, (q15_t)0x3ac1, (q15_t)0x3fc9, (q15_t)0x3acd, (q15_t)0x3fca, (q15_t)0x3ada, (q15_t)0x3fcb,
+ (q15_t)0x3ae6, (q15_t)0x3fcc, (q15_t)0x3af3, (q15_t)0x3fcd, (q15_t)0x3b00, (q15_t)0x3fce, (q15_t)0x3b0c, (q15_t)0x3fcf,
+ (q15_t)0x3b19, (q15_t)0x3fd0, (q15_t)0x3b25, (q15_t)0x3fd1, (q15_t)0x3b32, (q15_t)0x3fd2, (q15_t)0x3b3e, (q15_t)0x3fd3,
+ (q15_t)0x3b4b, (q15_t)0x3fd4, (q15_t)0x3b57, (q15_t)0x3fd5, (q15_t)0x3b64, (q15_t)0x3fd5, (q15_t)0x3b70, (q15_t)0x3fd6,
+ (q15_t)0x3b7d, (q15_t)0x3fd7, (q15_t)0x3b89, (q15_t)0x3fd8, (q15_t)0x3b96, (q15_t)0x3fd9, (q15_t)0x3ba2, (q15_t)0x3fda,
+ (q15_t)0x3baf, (q15_t)0x3fdb, (q15_t)0x3bbc, (q15_t)0x3fdc, (q15_t)0x3bc8, (q15_t)0x3fdc, (q15_t)0x3bd5, (q15_t)0x3fdd,
+ (q15_t)0x3be1, (q15_t)0x3fde, (q15_t)0x3bee, (q15_t)0x3fdf, (q15_t)0x3bfa, (q15_t)0x3fe0, (q15_t)0x3c07, (q15_t)0x3fe0,
+ (q15_t)0x3c13, (q15_t)0x3fe1, (q15_t)0x3c20, (q15_t)0x3fe2, (q15_t)0x3c2c, (q15_t)0x3fe3, (q15_t)0x3c39, (q15_t)0x3fe3,
+ (q15_t)0x3c45, (q15_t)0x3fe4, (q15_t)0x3c52, (q15_t)0x3fe5, (q15_t)0x3c5f, (q15_t)0x3fe6, (q15_t)0x3c6b, (q15_t)0x3fe6,
+ (q15_t)0x3c78, (q15_t)0x3fe7, (q15_t)0x3c84, (q15_t)0x3fe8, (q15_t)0x3c91, (q15_t)0x3fe8, (q15_t)0x3c9d, (q15_t)0x3fe9,
+ (q15_t)0x3caa, (q15_t)0x3fea, (q15_t)0x3cb6, (q15_t)0x3fea, (q15_t)0x3cc3, (q15_t)0x3feb, (q15_t)0x3cd0, (q15_t)0x3fec,
+ (q15_t)0x3cdc, (q15_t)0x3fec, (q15_t)0x3ce9, (q15_t)0x3fed, (q15_t)0x3cf5, (q15_t)0x3fed, (q15_t)0x3d02, (q15_t)0x3fee,
+ (q15_t)0x3d0e, (q15_t)0x3fef, (q15_t)0x3d1b, (q15_t)0x3fef, (q15_t)0x3d27, (q15_t)0x3ff0, (q15_t)0x3d34, (q15_t)0x3ff0,
+ (q15_t)0x3d40, (q15_t)0x3ff1, (q15_t)0x3d4d, (q15_t)0x3ff1, (q15_t)0x3d5a, (q15_t)0x3ff2, (q15_t)0x3d66, (q15_t)0x3ff2,
+ (q15_t)0x3d73, (q15_t)0x3ff3, (q15_t)0x3d7f, (q15_t)0x3ff3, (q15_t)0x3d8c, (q15_t)0x3ff4, (q15_t)0x3d98, (q15_t)0x3ff4,
+ (q15_t)0x3da5, (q15_t)0x3ff5, (q15_t)0x3db2, (q15_t)0x3ff5, (q15_t)0x3dbe, (q15_t)0x3ff6, (q15_t)0x3dcb, (q15_t)0x3ff6,
+ (q15_t)0x3dd7, (q15_t)0x3ff7, (q15_t)0x3de4, (q15_t)0x3ff7, (q15_t)0x3df0, (q15_t)0x3ff7, (q15_t)0x3dfd, (q15_t)0x3ff8,
+ (q15_t)0x3e09, (q15_t)0x3ff8, (q15_t)0x3e16, (q15_t)0x3ff9, (q15_t)0x3e23, (q15_t)0x3ff9, (q15_t)0x3e2f, (q15_t)0x3ff9,
+ (q15_t)0x3e3c, (q15_t)0x3ffa, (q15_t)0x3e48, (q15_t)0x3ffa, (q15_t)0x3e55, (q15_t)0x3ffa, (q15_t)0x3e61, (q15_t)0x3ffb,
+ (q15_t)0x3e6e, (q15_t)0x3ffb, (q15_t)0x3e7a, (q15_t)0x3ffb, (q15_t)0x3e87, (q15_t)0x3ffc, (q15_t)0x3e94, (q15_t)0x3ffc,
+ (q15_t)0x3ea0, (q15_t)0x3ffc, (q15_t)0x3ead, (q15_t)0x3ffc, (q15_t)0x3eb9, (q15_t)0x3ffd, (q15_t)0x3ec6, (q15_t)0x3ffd,
+ (q15_t)0x3ed2, (q15_t)0x3ffd, (q15_t)0x3edf, (q15_t)0x3ffd, (q15_t)0x3eec, (q15_t)0x3ffe, (q15_t)0x3ef8, (q15_t)0x3ffe,
+ (q15_t)0x3f05, (q15_t)0x3ffe, (q15_t)0x3f11, (q15_t)0x3ffe, (q15_t)0x3f1e, (q15_t)0x3ffe, (q15_t)0x3f2a, (q15_t)0x3fff,
+ (q15_t)0x3f37, (q15_t)0x3fff, (q15_t)0x3f44, (q15_t)0x3fff, (q15_t)0x3f50, (q15_t)0x3fff, (q15_t)0x3f5d, (q15_t)0x3fff,
+ (q15_t)0x3f69, (q15_t)0x3fff, (q15_t)0x3f76, (q15_t)0x3fff, (q15_t)0x3f82, (q15_t)0x4000, (q15_t)0x3f8f, (q15_t)0x4000,
+ (q15_t)0x3f9b, (q15_t)0x4000, (q15_t)0x3fa8, (q15_t)0x4000, (q15_t)0x3fb5, (q15_t)0x4000, (q15_t)0x3fc1, (q15_t)0x4000,
+ (q15_t)0x3fce, (q15_t)0x4000, (q15_t)0x3fda, (q15_t)0x4000, (q15_t)0x3fe7, (q15_t)0x4000, (q15_t)0x3ff3, (q15_t)0x4000,
+};
+
+/**
+ @par
+ Generation of real_CoefB array:
+ @par
+ n = 4096
+ for (i = 0; i < n; i++)
+ {
+ pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+ pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+ }
+ @par
+ Convert to fixed point Q15 format
+ round(pBTable[i] * pow(2, 15))
+*/
+const q15_t __ALIGNED(4) realCoefBQ15[8192] = {
+ (q15_t)0x4000, (q15_t)0x4000, (q15_t)0x400d, (q15_t)0x4000, (q15_t)0x4019, (q15_t)0x4000, (q15_t)0x4026, (q15_t)0x4000,
+ (q15_t)0x4032, (q15_t)0x4000, (q15_t)0x403f, (q15_t)0x4000, (q15_t)0x404b, (q15_t)0x4000, (q15_t)0x4058, (q15_t)0x4000,
+ (q15_t)0x4065, (q15_t)0x4000, (q15_t)0x4071, (q15_t)0x4000, (q15_t)0x407e, (q15_t)0x4000, (q15_t)0x408a, (q15_t)0x3fff,
+ (q15_t)0x4097, (q15_t)0x3fff, (q15_t)0x40a3, (q15_t)0x3fff, (q15_t)0x40b0, (q15_t)0x3fff, (q15_t)0x40bc, (q15_t)0x3fff,
+ (q15_t)0x40c9, (q15_t)0x3fff, (q15_t)0x40d6, (q15_t)0x3fff, (q15_t)0x40e2, (q15_t)0x3ffe, (q15_t)0x40ef, (q15_t)0x3ffe,
+ (q15_t)0x40fb, (q15_t)0x3ffe, (q15_t)0x4108, (q15_t)0x3ffe, (q15_t)0x4114, (q15_t)0x3ffe, (q15_t)0x4121, (q15_t)0x3ffd,
+ (q15_t)0x412e, (q15_t)0x3ffd, (q15_t)0x413a, (q15_t)0x3ffd, (q15_t)0x4147, (q15_t)0x3ffd, (q15_t)0x4153, (q15_t)0x3ffc,
+ (q15_t)0x4160, (q15_t)0x3ffc, (q15_t)0x416c, (q15_t)0x3ffc, (q15_t)0x4179, (q15_t)0x3ffc, (q15_t)0x4186, (q15_t)0x3ffb,
+ (q15_t)0x4192, (q15_t)0x3ffb, (q15_t)0x419f, (q15_t)0x3ffb, (q15_t)0x41ab, (q15_t)0x3ffa, (q15_t)0x41b8, (q15_t)0x3ffa,
+ (q15_t)0x41c4, (q15_t)0x3ffa, (q15_t)0x41d1, (q15_t)0x3ff9, (q15_t)0x41dd, (q15_t)0x3ff9, (q15_t)0x41ea, (q15_t)0x3ff9,
+ (q15_t)0x41f7, (q15_t)0x3ff8, (q15_t)0x4203, (q15_t)0x3ff8, (q15_t)0x4210, (q15_t)0x3ff7, (q15_t)0x421c, (q15_t)0x3ff7,
+ (q15_t)0x4229, (q15_t)0x3ff7, (q15_t)0x4235, (q15_t)0x3ff6, (q15_t)0x4242, (q15_t)0x3ff6, (q15_t)0x424e, (q15_t)0x3ff5,
+ (q15_t)0x425b, (q15_t)0x3ff5, (q15_t)0x4268, (q15_t)0x3ff4, (q15_t)0x4274, (q15_t)0x3ff4, (q15_t)0x4281, (q15_t)0x3ff3,
+ (q15_t)0x428d, (q15_t)0x3ff3, (q15_t)0x429a, (q15_t)0x3ff2, (q15_t)0x42a6, (q15_t)0x3ff2, (q15_t)0x42b3, (q15_t)0x3ff1,
+ (q15_t)0x42c0, (q15_t)0x3ff1, (q15_t)0x42cc, (q15_t)0x3ff0, (q15_t)0x42d9, (q15_t)0x3ff0, (q15_t)0x42e5, (q15_t)0x3fef,
+ (q15_t)0x42f2, (q15_t)0x3fef, (q15_t)0x42fe, (q15_t)0x3fee, (q15_t)0x430b, (q15_t)0x3fed, (q15_t)0x4317, (q15_t)0x3fed,
+ (q15_t)0x4324, (q15_t)0x3fec, (q15_t)0x4330, (q15_t)0x3fec, (q15_t)0x433d, (q15_t)0x3feb, (q15_t)0x434a, (q15_t)0x3fea,
+ (q15_t)0x4356, (q15_t)0x3fea, (q15_t)0x4363, (q15_t)0x3fe9, (q15_t)0x436f, (q15_t)0x3fe8, (q15_t)0x437c, (q15_t)0x3fe8,
+ (q15_t)0x4388, (q15_t)0x3fe7, (q15_t)0x4395, (q15_t)0x3fe6, (q15_t)0x43a1, (q15_t)0x3fe6, (q15_t)0x43ae, (q15_t)0x3fe5,
+ (q15_t)0x43bb, (q15_t)0x3fe4, (q15_t)0x43c7, (q15_t)0x3fe3, (q15_t)0x43d4, (q15_t)0x3fe3, (q15_t)0x43e0, (q15_t)0x3fe2,
+ (q15_t)0x43ed, (q15_t)0x3fe1, (q15_t)0x43f9, (q15_t)0x3fe0, (q15_t)0x4406, (q15_t)0x3fe0, (q15_t)0x4412, (q15_t)0x3fdf,
+ (q15_t)0x441f, (q15_t)0x3fde, (q15_t)0x442b, (q15_t)0x3fdd, (q15_t)0x4438, (q15_t)0x3fdc, (q15_t)0x4444, (q15_t)0x3fdc,
+ (q15_t)0x4451, (q15_t)0x3fdb, (q15_t)0x445e, (q15_t)0x3fda, (q15_t)0x446a, (q15_t)0x3fd9, (q15_t)0x4477, (q15_t)0x3fd8,
+ (q15_t)0x4483, (q15_t)0x3fd7, (q15_t)0x4490, (q15_t)0x3fd6, (q15_t)0x449c, (q15_t)0x3fd5, (q15_t)0x44a9, (q15_t)0x3fd5,
+ (q15_t)0x44b5, (q15_t)0x3fd4, (q15_t)0x44c2, (q15_t)0x3fd3, (q15_t)0x44ce, (q15_t)0x3fd2, (q15_t)0x44db, (q15_t)0x3fd1,
+ (q15_t)0x44e7, (q15_t)0x3fd0, (q15_t)0x44f4, (q15_t)0x3fcf, (q15_t)0x4500, (q15_t)0x3fce, (q15_t)0x450d, (q15_t)0x3fcd,
+ (q15_t)0x451a, (q15_t)0x3fcc, (q15_t)0x4526, (q15_t)0x3fcb, (q15_t)0x4533, (q15_t)0x3fca, (q15_t)0x453f, (q15_t)0x3fc9,
+ (q15_t)0x454c, (q15_t)0x3fc8, (q15_t)0x4558, (q15_t)0x3fc7, (q15_t)0x4565, (q15_t)0x3fc6, (q15_t)0x4571, (q15_t)0x3fc5,
+ (q15_t)0x457e, (q15_t)0x3fc4, (q15_t)0x458a, (q15_t)0x3fc3, (q15_t)0x4597, (q15_t)0x3fc1, (q15_t)0x45a3, (q15_t)0x3fc0,
+ (q15_t)0x45b0, (q15_t)0x3fbf, (q15_t)0x45bc, (q15_t)0x3fbe, (q15_t)0x45c9, (q15_t)0x3fbd, (q15_t)0x45d5, (q15_t)0x3fbc,
+ (q15_t)0x45e2, (q15_t)0x3fbb, (q15_t)0x45ee, (q15_t)0x3fb9, (q15_t)0x45fb, (q15_t)0x3fb8, (q15_t)0x4607, (q15_t)0x3fb7,
+ (q15_t)0x4614, (q15_t)0x3fb6, (q15_t)0x4620, (q15_t)0x3fb5, (q15_t)0x462d, (q15_t)0x3fb4, (q15_t)0x4639, (q15_t)0x3fb2,
+ (q15_t)0x4646, (q15_t)0x3fb1, (q15_t)0x4652, (q15_t)0x3fb0, (q15_t)0x465f, (q15_t)0x3faf, (q15_t)0x466b, (q15_t)0x3fad,
+ (q15_t)0x4678, (q15_t)0x3fac, (q15_t)0x4684, (q15_t)0x3fab, (q15_t)0x4691, (q15_t)0x3faa, (q15_t)0x469d, (q15_t)0x3fa8,
+ (q15_t)0x46aa, (q15_t)0x3fa7, (q15_t)0x46b6, (q15_t)0x3fa6, (q15_t)0x46c3, (q15_t)0x3fa4, (q15_t)0x46cf, (q15_t)0x3fa3,
+ (q15_t)0x46dc, (q15_t)0x3fa2, (q15_t)0x46e8, (q15_t)0x3fa0, (q15_t)0x46f5, (q15_t)0x3f9f, (q15_t)0x4701, (q15_t)0x3f9e,
+ (q15_t)0x470e, (q15_t)0x3f9c, (q15_t)0x471a, (q15_t)0x3f9b, (q15_t)0x4727, (q15_t)0x3f99, (q15_t)0x4733, (q15_t)0x3f98,
+ (q15_t)0x4740, (q15_t)0x3f97, (q15_t)0x474c, (q15_t)0x3f95, (q15_t)0x4759, (q15_t)0x3f94, (q15_t)0x4765, (q15_t)0x3f92,
+ (q15_t)0x4772, (q15_t)0x3f91, (q15_t)0x477e, (q15_t)0x3f8f, (q15_t)0x478b, (q15_t)0x3f8e, (q15_t)0x4797, (q15_t)0x3f8c,
+ (q15_t)0x47a4, (q15_t)0x3f8b, (q15_t)0x47b0, (q15_t)0x3f89, (q15_t)0x47bd, (q15_t)0x3f88, (q15_t)0x47c9, (q15_t)0x3f86,
+ (q15_t)0x47d6, (q15_t)0x3f85, (q15_t)0x47e2, (q15_t)0x3f83, (q15_t)0x47ef, (q15_t)0x3f82, (q15_t)0x47fb, (q15_t)0x3f80,
+ (q15_t)0x4807, (q15_t)0x3f7f, (q15_t)0x4814, (q15_t)0x3f7d, (q15_t)0x4820, (q15_t)0x3f7b, (q15_t)0x482d, (q15_t)0x3f7a,
+ (q15_t)0x4839, (q15_t)0x3f78, (q15_t)0x4846, (q15_t)0x3f77, (q15_t)0x4852, (q15_t)0x3f75, (q15_t)0x485f, (q15_t)0x3f73,
+ (q15_t)0x486b, (q15_t)0x3f72, (q15_t)0x4878, (q15_t)0x3f70, (q15_t)0x4884, (q15_t)0x3f6e, (q15_t)0x4891, (q15_t)0x3f6d,
+ (q15_t)0x489d, (q15_t)0x3f6b, (q15_t)0x48a9, (q15_t)0x3f69, (q15_t)0x48b6, (q15_t)0x3f68, (q15_t)0x48c2, (q15_t)0x3f66,
+ (q15_t)0x48cf, (q15_t)0x3f64, (q15_t)0x48db, (q15_t)0x3f62, (q15_t)0x48e8, (q15_t)0x3f61, (q15_t)0x48f4, (q15_t)0x3f5f,
+ (q15_t)0x4901, (q15_t)0x3f5d, (q15_t)0x490d, (q15_t)0x3f5b, (q15_t)0x4919, (q15_t)0x3f5a, (q15_t)0x4926, (q15_t)0x3f58,
+ (q15_t)0x4932, (q15_t)0x3f56, (q15_t)0x493f, (q15_t)0x3f54, (q15_t)0x494b, (q15_t)0x3f52, (q15_t)0x4958, (q15_t)0x3f51,
+ (q15_t)0x4964, (q15_t)0x3f4f, (q15_t)0x4970, (q15_t)0x3f4d, (q15_t)0x497d, (q15_t)0x3f4b, (q15_t)0x4989, (q15_t)0x3f49,
+ (q15_t)0x4996, (q15_t)0x3f47, (q15_t)0x49a2, (q15_t)0x3f45, (q15_t)0x49af, (q15_t)0x3f43, (q15_t)0x49bb, (q15_t)0x3f42,
+ (q15_t)0x49c7, (q15_t)0x3f40, (q15_t)0x49d4, (q15_t)0x3f3e, (q15_t)0x49e0, (q15_t)0x3f3c, (q15_t)0x49ed, (q15_t)0x3f3a,
+ (q15_t)0x49f9, (q15_t)0x3f38, (q15_t)0x4a06, (q15_t)0x3f36, (q15_t)0x4a12, (q15_t)0x3f34, (q15_t)0x4a1e, (q15_t)0x3f32,
+ (q15_t)0x4a2b, (q15_t)0x3f30, (q15_t)0x4a37, (q15_t)0x3f2e, (q15_t)0x4a44, (q15_t)0x3f2c, (q15_t)0x4a50, (q15_t)0x3f2a,
+ (q15_t)0x4a5c, (q15_t)0x3f28, (q15_t)0x4a69, (q15_t)0x3f26, (q15_t)0x4a75, (q15_t)0x3f24, (q15_t)0x4a82, (q15_t)0x3f22,
+ (q15_t)0x4a8e, (q15_t)0x3f20, (q15_t)0x4a9a, (q15_t)0x3f1e, (q15_t)0x4aa7, (q15_t)0x3f1c, (q15_t)0x4ab3, (q15_t)0x3f19,
+ (q15_t)0x4ac0, (q15_t)0x3f17, (q15_t)0x4acc, (q15_t)0x3f15, (q15_t)0x4ad8, (q15_t)0x3f13, (q15_t)0x4ae5, (q15_t)0x3f11,
+ (q15_t)0x4af1, (q15_t)0x3f0f, (q15_t)0x4afd, (q15_t)0x3f0d, (q15_t)0x4b0a, (q15_t)0x3f0a, (q15_t)0x4b16, (q15_t)0x3f08,
+ (q15_t)0x4b23, (q15_t)0x3f06, (q15_t)0x4b2f, (q15_t)0x3f04, (q15_t)0x4b3b, (q15_t)0x3f02, (q15_t)0x4b48, (q15_t)0x3f00,
+ (q15_t)0x4b54, (q15_t)0x3efd, (q15_t)0x4b60, (q15_t)0x3efb, (q15_t)0x4b6d, (q15_t)0x3ef9, (q15_t)0x4b79, (q15_t)0x3ef7,
+ (q15_t)0x4b85, (q15_t)0x3ef4, (q15_t)0x4b92, (q15_t)0x3ef2, (q15_t)0x4b9e, (q15_t)0x3ef0, (q15_t)0x4bab, (q15_t)0x3eed,
+ (q15_t)0x4bb7, (q15_t)0x3eeb, (q15_t)0x4bc3, (q15_t)0x3ee9, (q15_t)0x4bd0, (q15_t)0x3ee7, (q15_t)0x4bdc, (q15_t)0x3ee4,
+ (q15_t)0x4be8, (q15_t)0x3ee2, (q15_t)0x4bf5, (q15_t)0x3ee0, (q15_t)0x4c01, (q15_t)0x3edd, (q15_t)0x4c0d, (q15_t)0x3edb,
+ (q15_t)0x4c1a, (q15_t)0x3ed8, (q15_t)0x4c26, (q15_t)0x3ed6, (q15_t)0x4c32, (q15_t)0x3ed4, (q15_t)0x4c3f, (q15_t)0x3ed1,
+ (q15_t)0x4c4b, (q15_t)0x3ecf, (q15_t)0x4c57, (q15_t)0x3ecc, (q15_t)0x4c64, (q15_t)0x3eca, (q15_t)0x4c70, (q15_t)0x3ec8,
+ (q15_t)0x4c7c, (q15_t)0x3ec5, (q15_t)0x4c89, (q15_t)0x3ec3, (q15_t)0x4c95, (q15_t)0x3ec0, (q15_t)0x4ca1, (q15_t)0x3ebe,
+ (q15_t)0x4cae, (q15_t)0x3ebb, (q15_t)0x4cba, (q15_t)0x3eb9, (q15_t)0x4cc6, (q15_t)0x3eb6, (q15_t)0x4cd3, (q15_t)0x3eb4,
+ (q15_t)0x4cdf, (q15_t)0x3eb1, (q15_t)0x4ceb, (q15_t)0x3eaf, (q15_t)0x4cf8, (q15_t)0x3eac, (q15_t)0x4d04, (q15_t)0x3eaa,
+ (q15_t)0x4d10, (q15_t)0x3ea7, (q15_t)0x4d1c, (q15_t)0x3ea5, (q15_t)0x4d29, (q15_t)0x3ea2, (q15_t)0x4d35, (q15_t)0x3e9f,
+ (q15_t)0x4d41, (q15_t)0x3e9d, (q15_t)0x4d4e, (q15_t)0x3e9a, (q15_t)0x4d5a, (q15_t)0x3e98, (q15_t)0x4d66, (q15_t)0x3e95,
+ (q15_t)0x4d72, (q15_t)0x3e92, (q15_t)0x4d7f, (q15_t)0x3e90, (q15_t)0x4d8b, (q15_t)0x3e8d, (q15_t)0x4d97, (q15_t)0x3e8a,
+ (q15_t)0x4da4, (q15_t)0x3e88, (q15_t)0x4db0, (q15_t)0x3e85, (q15_t)0x4dbc, (q15_t)0x3e82, (q15_t)0x4dc8, (q15_t)0x3e80,
+ (q15_t)0x4dd5, (q15_t)0x3e7d, (q15_t)0x4de1, (q15_t)0x3e7a, (q15_t)0x4ded, (q15_t)0x3e77, (q15_t)0x4df9, (q15_t)0x3e75,
+ (q15_t)0x4e06, (q15_t)0x3e72, (q15_t)0x4e12, (q15_t)0x3e6f, (q15_t)0x4e1e, (q15_t)0x3e6c, (q15_t)0x4e2b, (q15_t)0x3e6a,
+ (q15_t)0x4e37, (q15_t)0x3e67, (q15_t)0x4e43, (q15_t)0x3e64, (q15_t)0x4e4f, (q15_t)0x3e61, (q15_t)0x4e5c, (q15_t)0x3e5e,
+ (q15_t)0x4e68, (q15_t)0x3e5c, (q15_t)0x4e74, (q15_t)0x3e59, (q15_t)0x4e80, (q15_t)0x3e56, (q15_t)0x4e8c, (q15_t)0x3e53,
+ (q15_t)0x4e99, (q15_t)0x3e50, (q15_t)0x4ea5, (q15_t)0x3e4d, (q15_t)0x4eb1, (q15_t)0x3e4a, (q15_t)0x4ebd, (q15_t)0x3e48,
+ (q15_t)0x4eca, (q15_t)0x3e45, (q15_t)0x4ed6, (q15_t)0x3e42, (q15_t)0x4ee2, (q15_t)0x3e3f, (q15_t)0x4eee, (q15_t)0x3e3c,
+ (q15_t)0x4efb, (q15_t)0x3e39, (q15_t)0x4f07, (q15_t)0x3e36, (q15_t)0x4f13, (q15_t)0x3e33, (q15_t)0x4f1f, (q15_t)0x3e30,
+ (q15_t)0x4f2b, (q15_t)0x3e2d, (q15_t)0x4f38, (q15_t)0x3e2a, (q15_t)0x4f44, (q15_t)0x3e27, (q15_t)0x4f50, (q15_t)0x3e24,
+ (q15_t)0x4f5c, (q15_t)0x3e21, (q15_t)0x4f68, (q15_t)0x3e1e, (q15_t)0x4f75, (q15_t)0x3e1b, (q15_t)0x4f81, (q15_t)0x3e18,
+ (q15_t)0x4f8d, (q15_t)0x3e15, (q15_t)0x4f99, (q15_t)0x3e12, (q15_t)0x4fa5, (q15_t)0x3e0f, (q15_t)0x4fb2, (q15_t)0x3e0c,
+ (q15_t)0x4fbe, (q15_t)0x3e09, (q15_t)0x4fca, (q15_t)0x3e06, (q15_t)0x4fd6, (q15_t)0x3e03, (q15_t)0x4fe2, (q15_t)0x3dff,
+ (q15_t)0x4fee, (q15_t)0x3dfc, (q15_t)0x4ffb, (q15_t)0x3df9, (q15_t)0x5007, (q15_t)0x3df6, (q15_t)0x5013, (q15_t)0x3df3,
+ (q15_t)0x501f, (q15_t)0x3df0, (q15_t)0x502b, (q15_t)0x3ded, (q15_t)0x5037, (q15_t)0x3de9, (q15_t)0x5044, (q15_t)0x3de6,
+ (q15_t)0x5050, (q15_t)0x3de3, (q15_t)0x505c, (q15_t)0x3de0, (q15_t)0x5068, (q15_t)0x3ddd, (q15_t)0x5074, (q15_t)0x3dd9,
+ (q15_t)0x5080, (q15_t)0x3dd6, (q15_t)0x508c, (q15_t)0x3dd3, (q15_t)0x5099, (q15_t)0x3dd0, (q15_t)0x50a5, (q15_t)0x3dcc,
+ (q15_t)0x50b1, (q15_t)0x3dc9, (q15_t)0x50bd, (q15_t)0x3dc6, (q15_t)0x50c9, (q15_t)0x3dc2, (q15_t)0x50d5, (q15_t)0x3dbf,
+ (q15_t)0x50e1, (q15_t)0x3dbc, (q15_t)0x50ed, (q15_t)0x3db9, (q15_t)0x50fa, (q15_t)0x3db5, (q15_t)0x5106, (q15_t)0x3db2,
+ (q15_t)0x5112, (q15_t)0x3daf, (q15_t)0x511e, (q15_t)0x3dab, (q15_t)0x512a, (q15_t)0x3da8, (q15_t)0x5136, (q15_t)0x3da4,
+ (q15_t)0x5142, (q15_t)0x3da1, (q15_t)0x514e, (q15_t)0x3d9e, (q15_t)0x515a, (q15_t)0x3d9a, (q15_t)0x5167, (q15_t)0x3d97,
+ (q15_t)0x5173, (q15_t)0x3d93, (q15_t)0x517f, (q15_t)0x3d90, (q15_t)0x518b, (q15_t)0x3d8d, (q15_t)0x5197, (q15_t)0x3d89,
+ (q15_t)0x51a3, (q15_t)0x3d86, (q15_t)0x51af, (q15_t)0x3d82, (q15_t)0x51bb, (q15_t)0x3d7f, (q15_t)0x51c7, (q15_t)0x3d7b,
+ (q15_t)0x51d3, (q15_t)0x3d78, (q15_t)0x51df, (q15_t)0x3d74, (q15_t)0x51eb, (q15_t)0x3d71, (q15_t)0x51f7, (q15_t)0x3d6d,
+ (q15_t)0x5204, (q15_t)0x3d6a, (q15_t)0x5210, (q15_t)0x3d66, (q15_t)0x521c, (q15_t)0x3d63, (q15_t)0x5228, (q15_t)0x3d5f,
+ (q15_t)0x5234, (q15_t)0x3d5b, (q15_t)0x5240, (q15_t)0x3d58, (q15_t)0x524c, (q15_t)0x3d54, (q15_t)0x5258, (q15_t)0x3d51,
+ (q15_t)0x5264, (q15_t)0x3d4d, (q15_t)0x5270, (q15_t)0x3d49, (q15_t)0x527c, (q15_t)0x3d46, (q15_t)0x5288, (q15_t)0x3d42,
+ (q15_t)0x5294, (q15_t)0x3d3f, (q15_t)0x52a0, (q15_t)0x3d3b, (q15_t)0x52ac, (q15_t)0x3d37, (q15_t)0x52b8, (q15_t)0x3d34,
+ (q15_t)0x52c4, (q15_t)0x3d30, (q15_t)0x52d0, (q15_t)0x3d2c, (q15_t)0x52dc, (q15_t)0x3d28, (q15_t)0x52e8, (q15_t)0x3d25,
+ (q15_t)0x52f4, (q15_t)0x3d21, (q15_t)0x5300, (q15_t)0x3d1d, (q15_t)0x530c, (q15_t)0x3d1a, (q15_t)0x5318, (q15_t)0x3d16,
+ (q15_t)0x5324, (q15_t)0x3d12, (q15_t)0x5330, (q15_t)0x3d0e, (q15_t)0x533c, (q15_t)0x3d0b, (q15_t)0x5348, (q15_t)0x3d07,
+ (q15_t)0x5354, (q15_t)0x3d03, (q15_t)0x5360, (q15_t)0x3cff, (q15_t)0x536c, (q15_t)0x3cfb, (q15_t)0x5378, (q15_t)0x3cf8,
+ (q15_t)0x5384, (q15_t)0x3cf4, (q15_t)0x5390, (q15_t)0x3cf0, (q15_t)0x539c, (q15_t)0x3cec, (q15_t)0x53a8, (q15_t)0x3ce8,
+ (q15_t)0x53b4, (q15_t)0x3ce4, (q15_t)0x53c0, (q15_t)0x3ce0, (q15_t)0x53cc, (q15_t)0x3cdd, (q15_t)0x53d8, (q15_t)0x3cd9,
+ (q15_t)0x53e4, (q15_t)0x3cd5, (q15_t)0x53f0, (q15_t)0x3cd1, (q15_t)0x53fb, (q15_t)0x3ccd, (q15_t)0x5407, (q15_t)0x3cc9,
+ (q15_t)0x5413, (q15_t)0x3cc5, (q15_t)0x541f, (q15_t)0x3cc1, (q15_t)0x542b, (q15_t)0x3cbd, (q15_t)0x5437, (q15_t)0x3cb9,
+ (q15_t)0x5443, (q15_t)0x3cb5, (q15_t)0x544f, (q15_t)0x3cb1, (q15_t)0x545b, (q15_t)0x3cad, (q15_t)0x5467, (q15_t)0x3ca9,
+ (q15_t)0x5473, (q15_t)0x3ca5, (q15_t)0x547f, (q15_t)0x3ca1, (q15_t)0x548b, (q15_t)0x3c9d, (q15_t)0x5496, (q15_t)0x3c99,
+ (q15_t)0x54a2, (q15_t)0x3c95, (q15_t)0x54ae, (q15_t)0x3c91, (q15_t)0x54ba, (q15_t)0x3c8d, (q15_t)0x54c6, (q15_t)0x3c89,
+ (q15_t)0x54d2, (q15_t)0x3c85, (q15_t)0x54de, (q15_t)0x3c81, (q15_t)0x54ea, (q15_t)0x3c7d, (q15_t)0x54f6, (q15_t)0x3c79,
+ (q15_t)0x5501, (q15_t)0x3c74, (q15_t)0x550d, (q15_t)0x3c70, (q15_t)0x5519, (q15_t)0x3c6c, (q15_t)0x5525, (q15_t)0x3c68,
+ (q15_t)0x5531, (q15_t)0x3c64, (q15_t)0x553d, (q15_t)0x3c60, (q15_t)0x5549, (q15_t)0x3c5b, (q15_t)0x5554, (q15_t)0x3c57,
+ (q15_t)0x5560, (q15_t)0x3c53, (q15_t)0x556c, (q15_t)0x3c4f, (q15_t)0x5578, (q15_t)0x3c4b, (q15_t)0x5584, (q15_t)0x3c46,
+ (q15_t)0x5590, (q15_t)0x3c42, (q15_t)0x559b, (q15_t)0x3c3e, (q15_t)0x55a7, (q15_t)0x3c3a, (q15_t)0x55b3, (q15_t)0x3c36,
+ (q15_t)0x55bf, (q15_t)0x3c31, (q15_t)0x55cb, (q15_t)0x3c2d, (q15_t)0x55d7, (q15_t)0x3c29, (q15_t)0x55e2, (q15_t)0x3c24,
+ (q15_t)0x55ee, (q15_t)0x3c20, (q15_t)0x55fa, (q15_t)0x3c1c, (q15_t)0x5606, (q15_t)0x3c17, (q15_t)0x5612, (q15_t)0x3c13,
+ (q15_t)0x561d, (q15_t)0x3c0f, (q15_t)0x5629, (q15_t)0x3c0a, (q15_t)0x5635, (q15_t)0x3c06, (q15_t)0x5641, (q15_t)0x3c02,
+ (q15_t)0x564c, (q15_t)0x3bfd, (q15_t)0x5658, (q15_t)0x3bf9, (q15_t)0x5664, (q15_t)0x3bf5, (q15_t)0x5670, (q15_t)0x3bf0,
+ (q15_t)0x567c, (q15_t)0x3bec, (q15_t)0x5687, (q15_t)0x3be7, (q15_t)0x5693, (q15_t)0x3be3, (q15_t)0x569f, (q15_t)0x3bde,
+ (q15_t)0x56ab, (q15_t)0x3bda, (q15_t)0x56b6, (q15_t)0x3bd6, (q15_t)0x56c2, (q15_t)0x3bd1, (q15_t)0x56ce, (q15_t)0x3bcd,
+ (q15_t)0x56da, (q15_t)0x3bc8, (q15_t)0x56e5, (q15_t)0x3bc4, (q15_t)0x56f1, (q15_t)0x3bbf, (q15_t)0x56fd, (q15_t)0x3bbb,
+ (q15_t)0x5709, (q15_t)0x3bb6, (q15_t)0x5714, (q15_t)0x3bb2, (q15_t)0x5720, (q15_t)0x3bad, (q15_t)0x572c, (q15_t)0x3ba9,
+ (q15_t)0x5737, (q15_t)0x3ba4, (q15_t)0x5743, (q15_t)0x3b9f, (q15_t)0x574f, (q15_t)0x3b9b, (q15_t)0x575b, (q15_t)0x3b96,
+ (q15_t)0x5766, (q15_t)0x3b92, (q15_t)0x5772, (q15_t)0x3b8d, (q15_t)0x577e, (q15_t)0x3b88, (q15_t)0x5789, (q15_t)0x3b84,
+ (q15_t)0x5795, (q15_t)0x3b7f, (q15_t)0x57a1, (q15_t)0x3b7b, (q15_t)0x57ac, (q15_t)0x3b76, (q15_t)0x57b8, (q15_t)0x3b71,
+ (q15_t)0x57c4, (q15_t)0x3b6d, (q15_t)0x57cf, (q15_t)0x3b68, (q15_t)0x57db, (q15_t)0x3b63, (q15_t)0x57e7, (q15_t)0x3b5f,
+ (q15_t)0x57f2, (q15_t)0x3b5a, (q15_t)0x57fe, (q15_t)0x3b55, (q15_t)0x580a, (q15_t)0x3b50, (q15_t)0x5815, (q15_t)0x3b4c,
+ (q15_t)0x5821, (q15_t)0x3b47, (q15_t)0x582d, (q15_t)0x3b42, (q15_t)0x5838, (q15_t)0x3b3e, (q15_t)0x5844, (q15_t)0x3b39,
+ (q15_t)0x584f, (q15_t)0x3b34, (q15_t)0x585b, (q15_t)0x3b2f, (q15_t)0x5867, (q15_t)0x3b2a, (q15_t)0x5872, (q15_t)0x3b26,
+ (q15_t)0x587e, (q15_t)0x3b21, (q15_t)0x5889, (q15_t)0x3b1c, (q15_t)0x5895, (q15_t)0x3b17, (q15_t)0x58a1, (q15_t)0x3b12,
+ (q15_t)0x58ac, (q15_t)0x3b0e, (q15_t)0x58b8, (q15_t)0x3b09, (q15_t)0x58c3, (q15_t)0x3b04, (q15_t)0x58cf, (q15_t)0x3aff,
+ (q15_t)0x58db, (q15_t)0x3afa, (q15_t)0x58e6, (q15_t)0x3af5, (q15_t)0x58f2, (q15_t)0x3af0, (q15_t)0x58fd, (q15_t)0x3aeb,
+ (q15_t)0x5909, (q15_t)0x3ae6, (q15_t)0x5914, (q15_t)0x3ae2, (q15_t)0x5920, (q15_t)0x3add, (q15_t)0x592c, (q15_t)0x3ad8,
+ (q15_t)0x5937, (q15_t)0x3ad3, (q15_t)0x5943, (q15_t)0x3ace, (q15_t)0x594e, (q15_t)0x3ac9, (q15_t)0x595a, (q15_t)0x3ac4,
+ (q15_t)0x5965, (q15_t)0x3abf, (q15_t)0x5971, (q15_t)0x3aba, (q15_t)0x597c, (q15_t)0x3ab5, (q15_t)0x5988, (q15_t)0x3ab0,
+ (q15_t)0x5993, (q15_t)0x3aab, (q15_t)0x599f, (q15_t)0x3aa6, (q15_t)0x59aa, (q15_t)0x3aa1, (q15_t)0x59b6, (q15_t)0x3a9c,
+ (q15_t)0x59c1, (q15_t)0x3a97, (q15_t)0x59cd, (q15_t)0x3a92, (q15_t)0x59d8, (q15_t)0x3a8d, (q15_t)0x59e4, (q15_t)0x3a88,
+ (q15_t)0x59ef, (q15_t)0x3a82, (q15_t)0x59fb, (q15_t)0x3a7d, (q15_t)0x5a06, (q15_t)0x3a78, (q15_t)0x5a12, (q15_t)0x3a73,
+ (q15_t)0x5a1d, (q15_t)0x3a6e, (q15_t)0x5a29, (q15_t)0x3a69, (q15_t)0x5a34, (q15_t)0x3a64, (q15_t)0x5a40, (q15_t)0x3a5f,
+ (q15_t)0x5a4b, (q15_t)0x3a59, (q15_t)0x5a57, (q15_t)0x3a54, (q15_t)0x5a62, (q15_t)0x3a4f, (q15_t)0x5a6e, (q15_t)0x3a4a,
+ (q15_t)0x5a79, (q15_t)0x3a45, (q15_t)0x5a84, (q15_t)0x3a3f, (q15_t)0x5a90, (q15_t)0x3a3a, (q15_t)0x5a9b, (q15_t)0x3a35,
+ (q15_t)0x5aa7, (q15_t)0x3a30, (q15_t)0x5ab2, (q15_t)0x3a2b, (q15_t)0x5abe, (q15_t)0x3a25, (q15_t)0x5ac9, (q15_t)0x3a20,
+ (q15_t)0x5ad4, (q15_t)0x3a1b, (q15_t)0x5ae0, (q15_t)0x3a16, (q15_t)0x5aeb, (q15_t)0x3a10, (q15_t)0x5af7, (q15_t)0x3a0b,
+ (q15_t)0x5b02, (q15_t)0x3a06, (q15_t)0x5b0d, (q15_t)0x3a00, (q15_t)0x5b19, (q15_t)0x39fb, (q15_t)0x5b24, (q15_t)0x39f6,
+ (q15_t)0x5b30, (q15_t)0x39f0, (q15_t)0x5b3b, (q15_t)0x39eb, (q15_t)0x5b46, (q15_t)0x39e6, (q15_t)0x5b52, (q15_t)0x39e0,
+ (q15_t)0x5b5d, (q15_t)0x39db, (q15_t)0x5b68, (q15_t)0x39d6, (q15_t)0x5b74, (q15_t)0x39d0, (q15_t)0x5b7f, (q15_t)0x39cb,
+ (q15_t)0x5b8a, (q15_t)0x39c5, (q15_t)0x5b96, (q15_t)0x39c0, (q15_t)0x5ba1, (q15_t)0x39bb, (q15_t)0x5bac, (q15_t)0x39b5,
+ (q15_t)0x5bb8, (q15_t)0x39b0, (q15_t)0x5bc3, (q15_t)0x39aa, (q15_t)0x5bce, (q15_t)0x39a5, (q15_t)0x5bda, (q15_t)0x399f,
+ (q15_t)0x5be5, (q15_t)0x399a, (q15_t)0x5bf0, (q15_t)0x3994, (q15_t)0x5bfc, (q15_t)0x398f, (q15_t)0x5c07, (q15_t)0x3989,
+ (q15_t)0x5c12, (q15_t)0x3984, (q15_t)0x5c1e, (q15_t)0x397e, (q15_t)0x5c29, (q15_t)0x3979, (q15_t)0x5c34, (q15_t)0x3973,
+ (q15_t)0x5c3f, (q15_t)0x396e, (q15_t)0x5c4b, (q15_t)0x3968, (q15_t)0x5c56, (q15_t)0x3963, (q15_t)0x5c61, (q15_t)0x395d,
+ (q15_t)0x5c6c, (q15_t)0x3958, (q15_t)0x5c78, (q15_t)0x3952, (q15_t)0x5c83, (q15_t)0x394c, (q15_t)0x5c8e, (q15_t)0x3947,
+ (q15_t)0x5c99, (q15_t)0x3941, (q15_t)0x5ca5, (q15_t)0x393b, (q15_t)0x5cb0, (q15_t)0x3936, (q15_t)0x5cbb, (q15_t)0x3930,
+ (q15_t)0x5cc6, (q15_t)0x392b, (q15_t)0x5cd2, (q15_t)0x3925, (q15_t)0x5cdd, (q15_t)0x391f, (q15_t)0x5ce8, (q15_t)0x391a,
+ (q15_t)0x5cf3, (q15_t)0x3914, (q15_t)0x5cff, (q15_t)0x390e, (q15_t)0x5d0a, (q15_t)0x3909, (q15_t)0x5d15, (q15_t)0x3903,
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+ (q15_t)0x6a65, (q15_t)0x2ff2, (q15_t)0x6a6e, (q15_t)0x2fea, (q15_t)0x6a78, (q15_t)0x2fe1, (q15_t)0x6a81, (q15_t)0x2fd9,
+ (q15_t)0x6a8b, (q15_t)0x2fd0, (q15_t)0x6a94, (q15_t)0x2fc8, (q15_t)0x6a9d, (q15_t)0x2fc0, (q15_t)0x6aa7, (q15_t)0x2fb7,
+ (q15_t)0x6ab0, (q15_t)0x2faf, (q15_t)0x6ab9, (q15_t)0x2fa7, (q15_t)0x6ac3, (q15_t)0x2f9e, (q15_t)0x6acc, (q15_t)0x2f96,
+ (q15_t)0x6ad6, (q15_t)0x2f8d, (q15_t)0x6adf, (q15_t)0x2f85, (q15_t)0x6ae8, (q15_t)0x2f7d, (q15_t)0x6af2, (q15_t)0x2f74,
+ (q15_t)0x6afb, (q15_t)0x2f6c, (q15_t)0x6b04, (q15_t)0x2f63, (q15_t)0x6b0d, (q15_t)0x2f5b, (q15_t)0x6b17, (q15_t)0x2f52,
+ (q15_t)0x6b20, (q15_t)0x2f4a, (q15_t)0x6b29, (q15_t)0x2f41, (q15_t)0x6b33, (q15_t)0x2f39, (q15_t)0x6b3c, (q15_t)0x2f30,
+ (q15_t)0x6b45, (q15_t)0x2f28, (q15_t)0x6b4e, (q15_t)0x2f20, (q15_t)0x6b58, (q15_t)0x2f17, (q15_t)0x6b61, (q15_t)0x2f0e,
+ (q15_t)0x6b6a, (q15_t)0x2f06, (q15_t)0x6b73, (q15_t)0x2efd, (q15_t)0x6b7d, (q15_t)0x2ef5, (q15_t)0x6b86, (q15_t)0x2eec,
+ (q15_t)0x6b8f, (q15_t)0x2ee4, (q15_t)0x6b98, (q15_t)0x2edb, (q15_t)0x6ba1, (q15_t)0x2ed3, (q15_t)0x6bab, (q15_t)0x2eca,
+ (q15_t)0x6bb4, (q15_t)0x2ec2, (q15_t)0x6bbd, (q15_t)0x2eb9, (q15_t)0x6bc6, (q15_t)0x2eb0, (q15_t)0x6bcf, (q15_t)0x2ea8,
+ (q15_t)0x6bd8, (q15_t)0x2e9f, (q15_t)0x6be2, (q15_t)0x2e97, (q15_t)0x6beb, (q15_t)0x2e8e, (q15_t)0x6bf4, (q15_t)0x2e85,
+ (q15_t)0x6bfd, (q15_t)0x2e7d, (q15_t)0x6c06, (q15_t)0x2e74, (q15_t)0x6c0f, (q15_t)0x2e6b, (q15_t)0x6c18, (q15_t)0x2e63,
+ (q15_t)0x6c21, (q15_t)0x2e5a, (q15_t)0x6c2b, (q15_t)0x2e51, (q15_t)0x6c34, (q15_t)0x2e49, (q15_t)0x6c3d, (q15_t)0x2e40,
+ (q15_t)0x6c46, (q15_t)0x2e37, (q15_t)0x6c4f, (q15_t)0x2e2f, (q15_t)0x6c58, (q15_t)0x2e26, (q15_t)0x6c61, (q15_t)0x2e1d,
+ (q15_t)0x6c6a, (q15_t)0x2e15, (q15_t)0x6c73, (q15_t)0x2e0c, (q15_t)0x6c7c, (q15_t)0x2e03, (q15_t)0x6c85, (q15_t)0x2dfa,
+ (q15_t)0x6c8e, (q15_t)0x2df2, (q15_t)0x6c97, (q15_t)0x2de9, (q15_t)0x6ca0, (q15_t)0x2de0, (q15_t)0x6ca9, (q15_t)0x2dd7,
+ (q15_t)0x6cb2, (q15_t)0x2dcf, (q15_t)0x6cbb, (q15_t)0x2dc6, (q15_t)0x6cc4, (q15_t)0x2dbd, (q15_t)0x6ccd, (q15_t)0x2db4,
+ (q15_t)0x6cd6, (q15_t)0x2dab, (q15_t)0x6cdf, (q15_t)0x2da3, (q15_t)0x6ce8, (q15_t)0x2d9a, (q15_t)0x6cf1, (q15_t)0x2d91,
+ (q15_t)0x6cfa, (q15_t)0x2d88, (q15_t)0x6d03, (q15_t)0x2d7f, (q15_t)0x6d0c, (q15_t)0x2d76, (q15_t)0x6d15, (q15_t)0x2d6e,
+ (q15_t)0x6d1e, (q15_t)0x2d65, (q15_t)0x6d27, (q15_t)0x2d5c, (q15_t)0x6d2f, (q15_t)0x2d53, (q15_t)0x6d38, (q15_t)0x2d4a,
+ (q15_t)0x6d41, (q15_t)0x2d41, (q15_t)0x6d4a, (q15_t)0x2d38, (q15_t)0x6d53, (q15_t)0x2d2f, (q15_t)0x6d5c, (q15_t)0x2d27,
+ (q15_t)0x6d65, (q15_t)0x2d1e, (q15_t)0x6d6e, (q15_t)0x2d15, (q15_t)0x6d76, (q15_t)0x2d0c, (q15_t)0x6d7f, (q15_t)0x2d03,
+ (q15_t)0x6d88, (q15_t)0x2cfa, (q15_t)0x6d91, (q15_t)0x2cf1, (q15_t)0x6d9a, (q15_t)0x2ce8, (q15_t)0x6da3, (q15_t)0x2cdf,
+ (q15_t)0x6dab, (q15_t)0x2cd6, (q15_t)0x6db4, (q15_t)0x2ccd, (q15_t)0x6dbd, (q15_t)0x2cc4, (q15_t)0x6dc6, (q15_t)0x2cbb,
+ (q15_t)0x6dcf, (q15_t)0x2cb2, (q15_t)0x6dd7, (q15_t)0x2ca9, (q15_t)0x6de0, (q15_t)0x2ca0, (q15_t)0x6de9, (q15_t)0x2c97,
+ (q15_t)0x6df2, (q15_t)0x2c8e, (q15_t)0x6dfa, (q15_t)0x2c85, (q15_t)0x6e03, (q15_t)0x2c7c, (q15_t)0x6e0c, (q15_t)0x2c73,
+ (q15_t)0x6e15, (q15_t)0x2c6a, (q15_t)0x6e1d, (q15_t)0x2c61, (q15_t)0x6e26, (q15_t)0x2c58, (q15_t)0x6e2f, (q15_t)0x2c4f,
+ (q15_t)0x6e37, (q15_t)0x2c46, (q15_t)0x6e40, (q15_t)0x2c3d, (q15_t)0x6e49, (q15_t)0x2c34, (q15_t)0x6e51, (q15_t)0x2c2b,
+ (q15_t)0x6e5a, (q15_t)0x2c21, (q15_t)0x6e63, (q15_t)0x2c18, (q15_t)0x6e6b, (q15_t)0x2c0f, (q15_t)0x6e74, (q15_t)0x2c06,
+ (q15_t)0x6e7d, (q15_t)0x2bfd, (q15_t)0x6e85, (q15_t)0x2bf4, (q15_t)0x6e8e, (q15_t)0x2beb, (q15_t)0x6e97, (q15_t)0x2be2,
+ (q15_t)0x6e9f, (q15_t)0x2bd8, (q15_t)0x6ea8, (q15_t)0x2bcf, (q15_t)0x6eb0, (q15_t)0x2bc6, (q15_t)0x6eb9, (q15_t)0x2bbd,
+ (q15_t)0x6ec2, (q15_t)0x2bb4, (q15_t)0x6eca, (q15_t)0x2bab, (q15_t)0x6ed3, (q15_t)0x2ba1, (q15_t)0x6edb, (q15_t)0x2b98,
+ (q15_t)0x6ee4, (q15_t)0x2b8f, (q15_t)0x6eec, (q15_t)0x2b86, (q15_t)0x6ef5, (q15_t)0x2b7d, (q15_t)0x6efd, (q15_t)0x2b73,
+ (q15_t)0x6f06, (q15_t)0x2b6a, (q15_t)0x6f0e, (q15_t)0x2b61, (q15_t)0x6f17, (q15_t)0x2b58, (q15_t)0x6f20, (q15_t)0x2b4e,
+ (q15_t)0x6f28, (q15_t)0x2b45, (q15_t)0x6f30, (q15_t)0x2b3c, (q15_t)0x6f39, (q15_t)0x2b33, (q15_t)0x6f41, (q15_t)0x2b29,
+ (q15_t)0x6f4a, (q15_t)0x2b20, (q15_t)0x6f52, (q15_t)0x2b17, (q15_t)0x6f5b, (q15_t)0x2b0d, (q15_t)0x6f63, (q15_t)0x2b04,
+ (q15_t)0x6f6c, (q15_t)0x2afb, (q15_t)0x6f74, (q15_t)0x2af2, (q15_t)0x6f7d, (q15_t)0x2ae8, (q15_t)0x6f85, (q15_t)0x2adf,
+ (q15_t)0x6f8d, (q15_t)0x2ad6, (q15_t)0x6f96, (q15_t)0x2acc, (q15_t)0x6f9e, (q15_t)0x2ac3, (q15_t)0x6fa7, (q15_t)0x2ab9,
+ (q15_t)0x6faf, (q15_t)0x2ab0, (q15_t)0x6fb7, (q15_t)0x2aa7, (q15_t)0x6fc0, (q15_t)0x2a9d, (q15_t)0x6fc8, (q15_t)0x2a94,
+ (q15_t)0x6fd0, (q15_t)0x2a8b, (q15_t)0x6fd9, (q15_t)0x2a81, (q15_t)0x6fe1, (q15_t)0x2a78, (q15_t)0x6fea, (q15_t)0x2a6e,
+ (q15_t)0x6ff2, (q15_t)0x2a65, (q15_t)0x6ffa, (q15_t)0x2a5c, (q15_t)0x7002, (q15_t)0x2a52, (q15_t)0x700b, (q15_t)0x2a49,
+ (q15_t)0x7013, (q15_t)0x2a3f, (q15_t)0x701b, (q15_t)0x2a36, (q15_t)0x7024, (q15_t)0x2a2c, (q15_t)0x702c, (q15_t)0x2a23,
+ (q15_t)0x7034, (q15_t)0x2a1a, (q15_t)0x703c, (q15_t)0x2a10, (q15_t)0x7045, (q15_t)0x2a07, (q15_t)0x704d, (q15_t)0x29fd,
+ (q15_t)0x7055, (q15_t)0x29f4, (q15_t)0x705d, (q15_t)0x29ea, (q15_t)0x7066, (q15_t)0x29e1, (q15_t)0x706e, (q15_t)0x29d7,
+ (q15_t)0x7076, (q15_t)0x29ce, (q15_t)0x707e, (q15_t)0x29c4, (q15_t)0x7087, (q15_t)0x29bb, (q15_t)0x708f, (q15_t)0x29b1,
+ (q15_t)0x7097, (q15_t)0x29a7, (q15_t)0x709f, (q15_t)0x299e, (q15_t)0x70a7, (q15_t)0x2994, (q15_t)0x70af, (q15_t)0x298b,
+ (q15_t)0x70b8, (q15_t)0x2981, (q15_t)0x70c0, (q15_t)0x2978, (q15_t)0x70c8, (q15_t)0x296e, (q15_t)0x70d0, (q15_t)0x2965,
+ (q15_t)0x70d8, (q15_t)0x295b, (q15_t)0x70e0, (q15_t)0x2951, (q15_t)0x70e8, (q15_t)0x2948, (q15_t)0x70f0, (q15_t)0x293e,
+ (q15_t)0x70f9, (q15_t)0x2935, (q15_t)0x7101, (q15_t)0x292b, (q15_t)0x7109, (q15_t)0x2921, (q15_t)0x7111, (q15_t)0x2918,
+ (q15_t)0x7119, (q15_t)0x290e, (q15_t)0x7121, (q15_t)0x2904, (q15_t)0x7129, (q15_t)0x28fb, (q15_t)0x7131, (q15_t)0x28f1,
+ (q15_t)0x7139, (q15_t)0x28e7, (q15_t)0x7141, (q15_t)0x28de, (q15_t)0x7149, (q15_t)0x28d4, (q15_t)0x7151, (q15_t)0x28ca,
+ (q15_t)0x7159, (q15_t)0x28c1, (q15_t)0x7161, (q15_t)0x28b7, (q15_t)0x7169, (q15_t)0x28ad, (q15_t)0x7171, (q15_t)0x28a4,
+ (q15_t)0x7179, (q15_t)0x289a, (q15_t)0x7181, (q15_t)0x2890, (q15_t)0x7189, (q15_t)0x2886, (q15_t)0x7191, (q15_t)0x287d,
+ (q15_t)0x7199, (q15_t)0x2873, (q15_t)0x71a1, (q15_t)0x2869, (q15_t)0x71a9, (q15_t)0x2860, (q15_t)0x71b1, (q15_t)0x2856,
+ (q15_t)0x71b9, (q15_t)0x284c, (q15_t)0x71c0, (q15_t)0x2842, (q15_t)0x71c8, (q15_t)0x2838, (q15_t)0x71d0, (q15_t)0x282f,
+ (q15_t)0x71d8, (q15_t)0x2825, (q15_t)0x71e0, (q15_t)0x281b, (q15_t)0x71e8, (q15_t)0x2811, (q15_t)0x71f0, (q15_t)0x2808,
+ (q15_t)0x71f8, (q15_t)0x27fe, (q15_t)0x71ff, (q15_t)0x27f4, (q15_t)0x7207, (q15_t)0x27ea, (q15_t)0x720f, (q15_t)0x27e0,
+ (q15_t)0x7217, (q15_t)0x27d6, (q15_t)0x721f, (q15_t)0x27cd, (q15_t)0x7227, (q15_t)0x27c3, (q15_t)0x722e, (q15_t)0x27b9,
+ (q15_t)0x7236, (q15_t)0x27af, (q15_t)0x723e, (q15_t)0x27a5, (q15_t)0x7246, (q15_t)0x279b, (q15_t)0x724e, (q15_t)0x2791,
+ (q15_t)0x7255, (q15_t)0x2788, (q15_t)0x725d, (q15_t)0x277e, (q15_t)0x7265, (q15_t)0x2774, (q15_t)0x726d, (q15_t)0x276a,
+ (q15_t)0x7274, (q15_t)0x2760, (q15_t)0x727c, (q15_t)0x2756, (q15_t)0x7284, (q15_t)0x274c, (q15_t)0x728b, (q15_t)0x2742,
+ (q15_t)0x7293, (q15_t)0x2738, (q15_t)0x729b, (q15_t)0x272e, (q15_t)0x72a3, (q15_t)0x2724, (q15_t)0x72aa, (q15_t)0x271a,
+ (q15_t)0x72b2, (q15_t)0x2711, (q15_t)0x72ba, (q15_t)0x2707, (q15_t)0x72c1, (q15_t)0x26fd, (q15_t)0x72c9, (q15_t)0x26f3,
+ (q15_t)0x72d0, (q15_t)0x26e9, (q15_t)0x72d8, (q15_t)0x26df, (q15_t)0x72e0, (q15_t)0x26d5, (q15_t)0x72e7, (q15_t)0x26cb,
+ (q15_t)0x72ef, (q15_t)0x26c1, (q15_t)0x72f7, (q15_t)0x26b7, (q15_t)0x72fe, (q15_t)0x26ad, (q15_t)0x7306, (q15_t)0x26a3,
+ (q15_t)0x730d, (q15_t)0x2699, (q15_t)0x7315, (q15_t)0x268f, (q15_t)0x731d, (q15_t)0x2685, (q15_t)0x7324, (q15_t)0x267b,
+ (q15_t)0x732c, (q15_t)0x2671, (q15_t)0x7333, (q15_t)0x2666, (q15_t)0x733b, (q15_t)0x265c, (q15_t)0x7342, (q15_t)0x2652,
+ (q15_t)0x734a, (q15_t)0x2648, (q15_t)0x7351, (q15_t)0x263e, (q15_t)0x7359, (q15_t)0x2634, (q15_t)0x7360, (q15_t)0x262a,
+ (q15_t)0x7368, (q15_t)0x2620, (q15_t)0x736f, (q15_t)0x2616, (q15_t)0x7377, (q15_t)0x260c, (q15_t)0x737e, (q15_t)0x2602,
+ (q15_t)0x7386, (q15_t)0x25f8, (q15_t)0x738d, (q15_t)0x25ed, (q15_t)0x7395, (q15_t)0x25e3, (q15_t)0x739c, (q15_t)0x25d9,
+ (q15_t)0x73a3, (q15_t)0x25cf, (q15_t)0x73ab, (q15_t)0x25c5, (q15_t)0x73b2, (q15_t)0x25bb, (q15_t)0x73ba, (q15_t)0x25b1,
+ (q15_t)0x73c1, (q15_t)0x25a6, (q15_t)0x73c8, (q15_t)0x259c, (q15_t)0x73d0, (q15_t)0x2592, (q15_t)0x73d7, (q15_t)0x2588,
+ (q15_t)0x73df, (q15_t)0x257e, (q15_t)0x73e6, (q15_t)0x2574, (q15_t)0x73ed, (q15_t)0x2569, (q15_t)0x73f5, (q15_t)0x255f,
+ (q15_t)0x73fc, (q15_t)0x2555, (q15_t)0x7403, (q15_t)0x254b, (q15_t)0x740b, (q15_t)0x2541, (q15_t)0x7412, (q15_t)0x2536,
+ (q15_t)0x7419, (q15_t)0x252c, (q15_t)0x7420, (q15_t)0x2522, (q15_t)0x7428, (q15_t)0x2518, (q15_t)0x742f, (q15_t)0x250d,
+ (q15_t)0x7436, (q15_t)0x2503, (q15_t)0x743e, (q15_t)0x24f9, (q15_t)0x7445, (q15_t)0x24ef, (q15_t)0x744c, (q15_t)0x24e4,
+ (q15_t)0x7453, (q15_t)0x24da, (q15_t)0x745b, (q15_t)0x24d0, (q15_t)0x7462, (q15_t)0x24c5, (q15_t)0x7469, (q15_t)0x24bb,
+ (q15_t)0x7470, (q15_t)0x24b1, (q15_t)0x7477, (q15_t)0x24a7, (q15_t)0x747f, (q15_t)0x249c, (q15_t)0x7486, (q15_t)0x2492,
+ (q15_t)0x748d, (q15_t)0x2488, (q15_t)0x7494, (q15_t)0x247d, (q15_t)0x749b, (q15_t)0x2473, (q15_t)0x74a2, (q15_t)0x2469,
+ (q15_t)0x74aa, (q15_t)0x245e, (q15_t)0x74b1, (q15_t)0x2454, (q15_t)0x74b8, (q15_t)0x244a, (q15_t)0x74bf, (q15_t)0x243f,
+ (q15_t)0x74c6, (q15_t)0x2435, (q15_t)0x74cd, (q15_t)0x242b, (q15_t)0x74d4, (q15_t)0x2420, (q15_t)0x74db, (q15_t)0x2416,
+ (q15_t)0x74e2, (q15_t)0x240b, (q15_t)0x74ea, (q15_t)0x2401, (q15_t)0x74f1, (q15_t)0x23f7, (q15_t)0x74f8, (q15_t)0x23ec,
+ (q15_t)0x74ff, (q15_t)0x23e2, (q15_t)0x7506, (q15_t)0x23d7, (q15_t)0x750d, (q15_t)0x23cd, (q15_t)0x7514, (q15_t)0x23c3,
+ (q15_t)0x751b, (q15_t)0x23b8, (q15_t)0x7522, (q15_t)0x23ae, (q15_t)0x7529, (q15_t)0x23a3, (q15_t)0x7530, (q15_t)0x2399,
+ (q15_t)0x7537, (q15_t)0x238e, (q15_t)0x753e, (q15_t)0x2384, (q15_t)0x7545, (q15_t)0x237a, (q15_t)0x754c, (q15_t)0x236f,
+ (q15_t)0x7553, (q15_t)0x2365, (q15_t)0x755a, (q15_t)0x235a, (q15_t)0x7561, (q15_t)0x2350, (q15_t)0x7567, (q15_t)0x2345,
+ (q15_t)0x756e, (q15_t)0x233b, (q15_t)0x7575, (q15_t)0x2330, (q15_t)0x757c, (q15_t)0x2326, (q15_t)0x7583, (q15_t)0x231b,
+ (q15_t)0x758a, (q15_t)0x2311, (q15_t)0x7591, (q15_t)0x2306, (q15_t)0x7598, (q15_t)0x22fc, (q15_t)0x759f, (q15_t)0x22f1,
+ (q15_t)0x75a5, (q15_t)0x22e7, (q15_t)0x75ac, (q15_t)0x22dc, (q15_t)0x75b3, (q15_t)0x22d2, (q15_t)0x75ba, (q15_t)0x22c7,
+ (q15_t)0x75c1, (q15_t)0x22bc, (q15_t)0x75c8, (q15_t)0x22b2, (q15_t)0x75ce, (q15_t)0x22a7, (q15_t)0x75d5, (q15_t)0x229d,
+ (q15_t)0x75dc, (q15_t)0x2292, (q15_t)0x75e3, (q15_t)0x2288, (q15_t)0x75ea, (q15_t)0x227d, (q15_t)0x75f0, (q15_t)0x2272,
+ (q15_t)0x75f7, (q15_t)0x2268, (q15_t)0x75fe, (q15_t)0x225d, (q15_t)0x7605, (q15_t)0x2253, (q15_t)0x760b, (q15_t)0x2248,
+ (q15_t)0x7612, (q15_t)0x223d, (q15_t)0x7619, (q15_t)0x2233, (q15_t)0x7620, (q15_t)0x2228, (q15_t)0x7626, (q15_t)0x221e,
+ (q15_t)0x762d, (q15_t)0x2213, (q15_t)0x7634, (q15_t)0x2208, (q15_t)0x763a, (q15_t)0x21fe, (q15_t)0x7641, (q15_t)0x21f3,
+ (q15_t)0x7648, (q15_t)0x21e8, (q15_t)0x764e, (q15_t)0x21de, (q15_t)0x7655, (q15_t)0x21d3, (q15_t)0x765c, (q15_t)0x21c8,
+ (q15_t)0x7662, (q15_t)0x21be, (q15_t)0x7669, (q15_t)0x21b3, (q15_t)0x766f, (q15_t)0x21a8, (q15_t)0x7676, (q15_t)0x219e,
+ (q15_t)0x767d, (q15_t)0x2193, (q15_t)0x7683, (q15_t)0x2188, (q15_t)0x768a, (q15_t)0x217d, (q15_t)0x7690, (q15_t)0x2173,
+ (q15_t)0x7697, (q15_t)0x2168, (q15_t)0x769d, (q15_t)0x215d, (q15_t)0x76a4, (q15_t)0x2153, (q15_t)0x76ab, (q15_t)0x2148,
+ (q15_t)0x76b1, (q15_t)0x213d, (q15_t)0x76b8, (q15_t)0x2132, (q15_t)0x76be, (q15_t)0x2128, (q15_t)0x76c5, (q15_t)0x211d,
+ (q15_t)0x76cb, (q15_t)0x2112, (q15_t)0x76d2, (q15_t)0x2107, (q15_t)0x76d8, (q15_t)0x20fd, (q15_t)0x76df, (q15_t)0x20f2,
+ (q15_t)0x76e5, (q15_t)0x20e7, (q15_t)0x76eb, (q15_t)0x20dc, (q15_t)0x76f2, (q15_t)0x20d1, (q15_t)0x76f8, (q15_t)0x20c7,
+ (q15_t)0x76ff, (q15_t)0x20bc, (q15_t)0x7705, (q15_t)0x20b1, (q15_t)0x770c, (q15_t)0x20a6, (q15_t)0x7712, (q15_t)0x209b,
+ (q15_t)0x7718, (q15_t)0x2091, (q15_t)0x771f, (q15_t)0x2086, (q15_t)0x7725, (q15_t)0x207b, (q15_t)0x772c, (q15_t)0x2070,
+ (q15_t)0x7732, (q15_t)0x2065, (q15_t)0x7738, (q15_t)0x205b, (q15_t)0x773f, (q15_t)0x2050, (q15_t)0x7745, (q15_t)0x2045,
+ (q15_t)0x774b, (q15_t)0x203a, (q15_t)0x7752, (q15_t)0x202f, (q15_t)0x7758, (q15_t)0x2024, (q15_t)0x775e, (q15_t)0x2019,
+ (q15_t)0x7765, (q15_t)0x200f, (q15_t)0x776b, (q15_t)0x2004, (q15_t)0x7771, (q15_t)0x1ff9, (q15_t)0x7777, (q15_t)0x1fee,
+ (q15_t)0x777e, (q15_t)0x1fe3, (q15_t)0x7784, (q15_t)0x1fd8, (q15_t)0x778a, (q15_t)0x1fcd, (q15_t)0x7790, (q15_t)0x1fc2,
+ (q15_t)0x7797, (q15_t)0x1fb7, (q15_t)0x779d, (q15_t)0x1fac, (q15_t)0x77a3, (q15_t)0x1fa2, (q15_t)0x77a9, (q15_t)0x1f97,
+ (q15_t)0x77b0, (q15_t)0x1f8c, (q15_t)0x77b6, (q15_t)0x1f81, (q15_t)0x77bc, (q15_t)0x1f76, (q15_t)0x77c2, (q15_t)0x1f6b,
+ (q15_t)0x77c8, (q15_t)0x1f60, (q15_t)0x77ce, (q15_t)0x1f55, (q15_t)0x77d5, (q15_t)0x1f4a, (q15_t)0x77db, (q15_t)0x1f3f,
+ (q15_t)0x77e1, (q15_t)0x1f34, (q15_t)0x77e7, (q15_t)0x1f29, (q15_t)0x77ed, (q15_t)0x1f1e, (q15_t)0x77f3, (q15_t)0x1f13,
+ (q15_t)0x77f9, (q15_t)0x1f08, (q15_t)0x77ff, (q15_t)0x1efd, (q15_t)0x7805, (q15_t)0x1ef2, (q15_t)0x780b, (q15_t)0x1ee7,
+ (q15_t)0x7812, (q15_t)0x1edc, (q15_t)0x7818, (q15_t)0x1ed1, (q15_t)0x781e, (q15_t)0x1ec6, (q15_t)0x7824, (q15_t)0x1ebb,
+ (q15_t)0x782a, (q15_t)0x1eb0, (q15_t)0x7830, (q15_t)0x1ea5, (q15_t)0x7836, (q15_t)0x1e9a, (q15_t)0x783c, (q15_t)0x1e8f,
+ (q15_t)0x7842, (q15_t)0x1e84, (q15_t)0x7848, (q15_t)0x1e79, (q15_t)0x784e, (q15_t)0x1e6e, (q15_t)0x7854, (q15_t)0x1e63,
+ (q15_t)0x785a, (q15_t)0x1e58, (q15_t)0x7860, (q15_t)0x1e4d, (q15_t)0x7866, (q15_t)0x1e42, (q15_t)0x786b, (q15_t)0x1e36,
+ (q15_t)0x7871, (q15_t)0x1e2b, (q15_t)0x7877, (q15_t)0x1e20, (q15_t)0x787d, (q15_t)0x1e15, (q15_t)0x7883, (q15_t)0x1e0a,
+ (q15_t)0x7889, (q15_t)0x1dff, (q15_t)0x788f, (q15_t)0x1df4, (q15_t)0x7895, (q15_t)0x1de9, (q15_t)0x789b, (q15_t)0x1dde,
+ (q15_t)0x78a1, (q15_t)0x1dd3, (q15_t)0x78a6, (q15_t)0x1dc7, (q15_t)0x78ac, (q15_t)0x1dbc, (q15_t)0x78b2, (q15_t)0x1db1,
+ (q15_t)0x78b8, (q15_t)0x1da6, (q15_t)0x78be, (q15_t)0x1d9b, (q15_t)0x78c3, (q15_t)0x1d90, (q15_t)0x78c9, (q15_t)0x1d85,
+ (q15_t)0x78cf, (q15_t)0x1d79, (q15_t)0x78d5, (q15_t)0x1d6e, (q15_t)0x78db, (q15_t)0x1d63, (q15_t)0x78e0, (q15_t)0x1d58,
+ (q15_t)0x78e6, (q15_t)0x1d4d, (q15_t)0x78ec, (q15_t)0x1d42, (q15_t)0x78f2, (q15_t)0x1d36, (q15_t)0x78f7, (q15_t)0x1d2b,
+ (q15_t)0x78fd, (q15_t)0x1d20, (q15_t)0x7903, (q15_t)0x1d15, (q15_t)0x7909, (q15_t)0x1d0a, (q15_t)0x790e, (q15_t)0x1cff,
+ (q15_t)0x7914, (q15_t)0x1cf3, (q15_t)0x791a, (q15_t)0x1ce8, (q15_t)0x791f, (q15_t)0x1cdd, (q15_t)0x7925, (q15_t)0x1cd2,
+ (q15_t)0x792b, (q15_t)0x1cc6, (q15_t)0x7930, (q15_t)0x1cbb, (q15_t)0x7936, (q15_t)0x1cb0, (q15_t)0x793b, (q15_t)0x1ca5,
+ (q15_t)0x7941, (q15_t)0x1c99, (q15_t)0x7947, (q15_t)0x1c8e, (q15_t)0x794c, (q15_t)0x1c83, (q15_t)0x7952, (q15_t)0x1c78,
+ (q15_t)0x7958, (q15_t)0x1c6c, (q15_t)0x795d, (q15_t)0x1c61, (q15_t)0x7963, (q15_t)0x1c56, (q15_t)0x7968, (q15_t)0x1c4b,
+ (q15_t)0x796e, (q15_t)0x1c3f, (q15_t)0x7973, (q15_t)0x1c34, (q15_t)0x7979, (q15_t)0x1c29, (q15_t)0x797e, (q15_t)0x1c1e,
+ (q15_t)0x7984, (q15_t)0x1c12, (q15_t)0x7989, (q15_t)0x1c07, (q15_t)0x798f, (q15_t)0x1bfc, (q15_t)0x7994, (q15_t)0x1bf0,
+ (q15_t)0x799a, (q15_t)0x1be5, (q15_t)0x799f, (q15_t)0x1bda, (q15_t)0x79a5, (q15_t)0x1bce, (q15_t)0x79aa, (q15_t)0x1bc3,
+ (q15_t)0x79b0, (q15_t)0x1bb8, (q15_t)0x79b5, (q15_t)0x1bac, (q15_t)0x79bb, (q15_t)0x1ba1, (q15_t)0x79c0, (q15_t)0x1b96,
+ (q15_t)0x79c5, (q15_t)0x1b8a, (q15_t)0x79cb, (q15_t)0x1b7f, (q15_t)0x79d0, (q15_t)0x1b74, (q15_t)0x79d6, (q15_t)0x1b68,
+ (q15_t)0x79db, (q15_t)0x1b5d, (q15_t)0x79e0, (q15_t)0x1b52, (q15_t)0x79e6, (q15_t)0x1b46, (q15_t)0x79eb, (q15_t)0x1b3b,
+ (q15_t)0x79f0, (q15_t)0x1b30, (q15_t)0x79f6, (q15_t)0x1b24, (q15_t)0x79fb, (q15_t)0x1b19, (q15_t)0x7a00, (q15_t)0x1b0d,
+ (q15_t)0x7a06, (q15_t)0x1b02, (q15_t)0x7a0b, (q15_t)0x1af7, (q15_t)0x7a10, (q15_t)0x1aeb, (q15_t)0x7a16, (q15_t)0x1ae0,
+ (q15_t)0x7a1b, (q15_t)0x1ad4, (q15_t)0x7a20, (q15_t)0x1ac9, (q15_t)0x7a25, (q15_t)0x1abe, (q15_t)0x7a2b, (q15_t)0x1ab2,
+ (q15_t)0x7a30, (q15_t)0x1aa7, (q15_t)0x7a35, (q15_t)0x1a9b, (q15_t)0x7a3a, (q15_t)0x1a90, (q15_t)0x7a3f, (q15_t)0x1a84,
+ (q15_t)0x7a45, (q15_t)0x1a79, (q15_t)0x7a4a, (q15_t)0x1a6e, (q15_t)0x7a4f, (q15_t)0x1a62, (q15_t)0x7a54, (q15_t)0x1a57,
+ (q15_t)0x7a59, (q15_t)0x1a4b, (q15_t)0x7a5f, (q15_t)0x1a40, (q15_t)0x7a64, (q15_t)0x1a34, (q15_t)0x7a69, (q15_t)0x1a29,
+ (q15_t)0x7a6e, (q15_t)0x1a1d, (q15_t)0x7a73, (q15_t)0x1a12, (q15_t)0x7a78, (q15_t)0x1a06, (q15_t)0x7a7d, (q15_t)0x19fb,
+ (q15_t)0x7a82, (q15_t)0x19ef, (q15_t)0x7a88, (q15_t)0x19e4, (q15_t)0x7a8d, (q15_t)0x19d8, (q15_t)0x7a92, (q15_t)0x19cd,
+ (q15_t)0x7a97, (q15_t)0x19c1, (q15_t)0x7a9c, (q15_t)0x19b6, (q15_t)0x7aa1, (q15_t)0x19aa, (q15_t)0x7aa6, (q15_t)0x199f,
+ (q15_t)0x7aab, (q15_t)0x1993, (q15_t)0x7ab0, (q15_t)0x1988, (q15_t)0x7ab5, (q15_t)0x197c, (q15_t)0x7aba, (q15_t)0x1971,
+ (q15_t)0x7abf, (q15_t)0x1965, (q15_t)0x7ac4, (q15_t)0x195a, (q15_t)0x7ac9, (q15_t)0x194e, (q15_t)0x7ace, (q15_t)0x1943,
+ (q15_t)0x7ad3, (q15_t)0x1937, (q15_t)0x7ad8, (q15_t)0x192c, (q15_t)0x7add, (q15_t)0x1920, (q15_t)0x7ae2, (q15_t)0x1914,
+ (q15_t)0x7ae6, (q15_t)0x1909, (q15_t)0x7aeb, (q15_t)0x18fd, (q15_t)0x7af0, (q15_t)0x18f2, (q15_t)0x7af5, (q15_t)0x18e6,
+ (q15_t)0x7afa, (q15_t)0x18db, (q15_t)0x7aff, (q15_t)0x18cf, (q15_t)0x7b04, (q15_t)0x18c3, (q15_t)0x7b09, (q15_t)0x18b8,
+ (q15_t)0x7b0e, (q15_t)0x18ac, (q15_t)0x7b12, (q15_t)0x18a1, (q15_t)0x7b17, (q15_t)0x1895, (q15_t)0x7b1c, (q15_t)0x1889,
+ (q15_t)0x7b21, (q15_t)0x187e, (q15_t)0x7b26, (q15_t)0x1872, (q15_t)0x7b2a, (q15_t)0x1867, (q15_t)0x7b2f, (q15_t)0x185b,
+ (q15_t)0x7b34, (q15_t)0x184f, (q15_t)0x7b39, (q15_t)0x1844, (q15_t)0x7b3e, (q15_t)0x1838, (q15_t)0x7b42, (q15_t)0x182d,
+ (q15_t)0x7b47, (q15_t)0x1821, (q15_t)0x7b4c, (q15_t)0x1815, (q15_t)0x7b50, (q15_t)0x180a, (q15_t)0x7b55, (q15_t)0x17fe,
+ (q15_t)0x7b5a, (q15_t)0x17f2, (q15_t)0x7b5f, (q15_t)0x17e7, (q15_t)0x7b63, (q15_t)0x17db, (q15_t)0x7b68, (q15_t)0x17cf,
+ (q15_t)0x7b6d, (q15_t)0x17c4, (q15_t)0x7b71, (q15_t)0x17b8, (q15_t)0x7b76, (q15_t)0x17ac, (q15_t)0x7b7b, (q15_t)0x17a1,
+ (q15_t)0x7b7f, (q15_t)0x1795, (q15_t)0x7b84, (q15_t)0x1789, (q15_t)0x7b88, (q15_t)0x177e, (q15_t)0x7b8d, (q15_t)0x1772,
+ (q15_t)0x7b92, (q15_t)0x1766, (q15_t)0x7b96, (q15_t)0x175b, (q15_t)0x7b9b, (q15_t)0x174f, (q15_t)0x7b9f, (q15_t)0x1743,
+ (q15_t)0x7ba4, (q15_t)0x1737, (q15_t)0x7ba9, (q15_t)0x172c, (q15_t)0x7bad, (q15_t)0x1720, (q15_t)0x7bb2, (q15_t)0x1714,
+ (q15_t)0x7bb6, (q15_t)0x1709, (q15_t)0x7bbb, (q15_t)0x16fd, (q15_t)0x7bbf, (q15_t)0x16f1, (q15_t)0x7bc4, (q15_t)0x16e5,
+ (q15_t)0x7bc8, (q15_t)0x16da, (q15_t)0x7bcd, (q15_t)0x16ce, (q15_t)0x7bd1, (q15_t)0x16c2, (q15_t)0x7bd6, (q15_t)0x16b6,
+ (q15_t)0x7bda, (q15_t)0x16ab, (q15_t)0x7bde, (q15_t)0x169f, (q15_t)0x7be3, (q15_t)0x1693, (q15_t)0x7be7, (q15_t)0x1687,
+ (q15_t)0x7bec, (q15_t)0x167c, (q15_t)0x7bf0, (q15_t)0x1670, (q15_t)0x7bf5, (q15_t)0x1664, (q15_t)0x7bf9, (q15_t)0x1658,
+ (q15_t)0x7bfd, (q15_t)0x164c, (q15_t)0x7c02, (q15_t)0x1641, (q15_t)0x7c06, (q15_t)0x1635, (q15_t)0x7c0a, (q15_t)0x1629,
+ (q15_t)0x7c0f, (q15_t)0x161d, (q15_t)0x7c13, (q15_t)0x1612, (q15_t)0x7c17, (q15_t)0x1606, (q15_t)0x7c1c, (q15_t)0x15fa,
+ (q15_t)0x7c20, (q15_t)0x15ee, (q15_t)0x7c24, (q15_t)0x15e2, (q15_t)0x7c29, (q15_t)0x15d7, (q15_t)0x7c2d, (q15_t)0x15cb,
+ (q15_t)0x7c31, (q15_t)0x15bf, (q15_t)0x7c36, (q15_t)0x15b3, (q15_t)0x7c3a, (q15_t)0x15a7, (q15_t)0x7c3e, (q15_t)0x159b,
+ (q15_t)0x7c42, (q15_t)0x1590, (q15_t)0x7c46, (q15_t)0x1584, (q15_t)0x7c4b, (q15_t)0x1578, (q15_t)0x7c4f, (q15_t)0x156c,
+ (q15_t)0x7c53, (q15_t)0x1560, (q15_t)0x7c57, (q15_t)0x1554, (q15_t)0x7c5b, (q15_t)0x1549, (q15_t)0x7c60, (q15_t)0x153d,
+ (q15_t)0x7c64, (q15_t)0x1531, (q15_t)0x7c68, (q15_t)0x1525, (q15_t)0x7c6c, (q15_t)0x1519, (q15_t)0x7c70, (q15_t)0x150d,
+ (q15_t)0x7c74, (q15_t)0x1501, (q15_t)0x7c79, (q15_t)0x14f6, (q15_t)0x7c7d, (q15_t)0x14ea, (q15_t)0x7c81, (q15_t)0x14de,
+ (q15_t)0x7c85, (q15_t)0x14d2, (q15_t)0x7c89, (q15_t)0x14c6, (q15_t)0x7c8d, (q15_t)0x14ba, (q15_t)0x7c91, (q15_t)0x14ae,
+ (q15_t)0x7c95, (q15_t)0x14a2, (q15_t)0x7c99, (q15_t)0x1496, (q15_t)0x7c9d, (q15_t)0x148b, (q15_t)0x7ca1, (q15_t)0x147f,
+ (q15_t)0x7ca5, (q15_t)0x1473, (q15_t)0x7ca9, (q15_t)0x1467, (q15_t)0x7cad, (q15_t)0x145b, (q15_t)0x7cb1, (q15_t)0x144f,
+ (q15_t)0x7cb5, (q15_t)0x1443, (q15_t)0x7cb9, (q15_t)0x1437, (q15_t)0x7cbd, (q15_t)0x142b, (q15_t)0x7cc1, (q15_t)0x141f,
+ (q15_t)0x7cc5, (q15_t)0x1413, (q15_t)0x7cc9, (q15_t)0x1407, (q15_t)0x7ccd, (q15_t)0x13fb, (q15_t)0x7cd1, (q15_t)0x13f0,
+ (q15_t)0x7cd5, (q15_t)0x13e4, (q15_t)0x7cd9, (q15_t)0x13d8, (q15_t)0x7cdd, (q15_t)0x13cc, (q15_t)0x7ce0, (q15_t)0x13c0,
+ (q15_t)0x7ce4, (q15_t)0x13b4, (q15_t)0x7ce8, (q15_t)0x13a8, (q15_t)0x7cec, (q15_t)0x139c, (q15_t)0x7cf0, (q15_t)0x1390,
+ (q15_t)0x7cf4, (q15_t)0x1384, (q15_t)0x7cf8, (q15_t)0x1378, (q15_t)0x7cfb, (q15_t)0x136c, (q15_t)0x7cff, (q15_t)0x1360,
+ (q15_t)0x7d03, (q15_t)0x1354, (q15_t)0x7d07, (q15_t)0x1348, (q15_t)0x7d0b, (q15_t)0x133c, (q15_t)0x7d0e, (q15_t)0x1330,
+ (q15_t)0x7d12, (q15_t)0x1324, (q15_t)0x7d16, (q15_t)0x1318, (q15_t)0x7d1a, (q15_t)0x130c, (q15_t)0x7d1d, (q15_t)0x1300,
+ (q15_t)0x7d21, (q15_t)0x12f4, (q15_t)0x7d25, (q15_t)0x12e8, (q15_t)0x7d28, (q15_t)0x12dc, (q15_t)0x7d2c, (q15_t)0x12d0,
+ (q15_t)0x7d30, (q15_t)0x12c4, (q15_t)0x7d34, (q15_t)0x12b8, (q15_t)0x7d37, (q15_t)0x12ac, (q15_t)0x7d3b, (q15_t)0x12a0,
+ (q15_t)0x7d3f, (q15_t)0x1294, (q15_t)0x7d42, (q15_t)0x1288, (q15_t)0x7d46, (q15_t)0x127c, (q15_t)0x7d49, (q15_t)0x1270,
+ (q15_t)0x7d4d, (q15_t)0x1264, (q15_t)0x7d51, (q15_t)0x1258, (q15_t)0x7d54, (q15_t)0x124c, (q15_t)0x7d58, (q15_t)0x1240,
+ (q15_t)0x7d5b, (q15_t)0x1234, (q15_t)0x7d5f, (q15_t)0x1228, (q15_t)0x7d63, (q15_t)0x121c, (q15_t)0x7d66, (q15_t)0x1210,
+ (q15_t)0x7d6a, (q15_t)0x1204, (q15_t)0x7d6d, (q15_t)0x11f7, (q15_t)0x7d71, (q15_t)0x11eb, (q15_t)0x7d74, (q15_t)0x11df,
+ (q15_t)0x7d78, (q15_t)0x11d3, (q15_t)0x7d7b, (q15_t)0x11c7, (q15_t)0x7d7f, (q15_t)0x11bb, (q15_t)0x7d82, (q15_t)0x11af,
+ (q15_t)0x7d86, (q15_t)0x11a3, (q15_t)0x7d89, (q15_t)0x1197, (q15_t)0x7d8d, (q15_t)0x118b, (q15_t)0x7d90, (q15_t)0x117f,
+ (q15_t)0x7d93, (q15_t)0x1173, (q15_t)0x7d97, (q15_t)0x1167, (q15_t)0x7d9a, (q15_t)0x115a, (q15_t)0x7d9e, (q15_t)0x114e,
+ (q15_t)0x7da1, (q15_t)0x1142, (q15_t)0x7da4, (q15_t)0x1136, (q15_t)0x7da8, (q15_t)0x112a, (q15_t)0x7dab, (q15_t)0x111e,
+ (q15_t)0x7daf, (q15_t)0x1112, (q15_t)0x7db2, (q15_t)0x1106, (q15_t)0x7db5, (q15_t)0x10fa, (q15_t)0x7db9, (q15_t)0x10ed,
+ (q15_t)0x7dbc, (q15_t)0x10e1, (q15_t)0x7dbf, (q15_t)0x10d5, (q15_t)0x7dc2, (q15_t)0x10c9, (q15_t)0x7dc6, (q15_t)0x10bd,
+ (q15_t)0x7dc9, (q15_t)0x10b1, (q15_t)0x7dcc, (q15_t)0x10a5, (q15_t)0x7dd0, (q15_t)0x1099, (q15_t)0x7dd3, (q15_t)0x108c,
+ (q15_t)0x7dd6, (q15_t)0x1080, (q15_t)0x7dd9, (q15_t)0x1074, (q15_t)0x7ddd, (q15_t)0x1068, (q15_t)0x7de0, (q15_t)0x105c,
+ (q15_t)0x7de3, (q15_t)0x1050, (q15_t)0x7de6, (q15_t)0x1044, (q15_t)0x7de9, (q15_t)0x1037, (q15_t)0x7ded, (q15_t)0x102b,
+ (q15_t)0x7df0, (q15_t)0x101f, (q15_t)0x7df3, (q15_t)0x1013, (q15_t)0x7df6, (q15_t)0x1007, (q15_t)0x7df9, (q15_t)0xffb,
+ (q15_t)0x7dfc, (q15_t)0xfee, (q15_t)0x7dff, (q15_t)0xfe2, (q15_t)0x7e03, (q15_t)0xfd6, (q15_t)0x7e06, (q15_t)0xfca,
+ (q15_t)0x7e09, (q15_t)0xfbe, (q15_t)0x7e0c, (q15_t)0xfb2, (q15_t)0x7e0f, (q15_t)0xfa5, (q15_t)0x7e12, (q15_t)0xf99,
+ (q15_t)0x7e15, (q15_t)0xf8d, (q15_t)0x7e18, (q15_t)0xf81, (q15_t)0x7e1b, (q15_t)0xf75, (q15_t)0x7e1e, (q15_t)0xf68,
+ (q15_t)0x7e21, (q15_t)0xf5c, (q15_t)0x7e24, (q15_t)0xf50, (q15_t)0x7e27, (q15_t)0xf44, (q15_t)0x7e2a, (q15_t)0xf38,
+ (q15_t)0x7e2d, (q15_t)0xf2b, (q15_t)0x7e30, (q15_t)0xf1f, (q15_t)0x7e33, (q15_t)0xf13, (q15_t)0x7e36, (q15_t)0xf07,
+ (q15_t)0x7e39, (q15_t)0xefb, (q15_t)0x7e3c, (q15_t)0xeee, (q15_t)0x7e3f, (q15_t)0xee2, (q15_t)0x7e42, (q15_t)0xed6,
+ (q15_t)0x7e45, (q15_t)0xeca, (q15_t)0x7e48, (q15_t)0xebd, (q15_t)0x7e4a, (q15_t)0xeb1, (q15_t)0x7e4d, (q15_t)0xea5,
+ (q15_t)0x7e50, (q15_t)0xe99, (q15_t)0x7e53, (q15_t)0xe8c, (q15_t)0x7e56, (q15_t)0xe80, (q15_t)0x7e59, (q15_t)0xe74,
+ (q15_t)0x7e5c, (q15_t)0xe68, (q15_t)0x7e5e, (q15_t)0xe5c, (q15_t)0x7e61, (q15_t)0xe4f, (q15_t)0x7e64, (q15_t)0xe43,
+ (q15_t)0x7e67, (q15_t)0xe37, (q15_t)0x7e6a, (q15_t)0xe2b, (q15_t)0x7e6c, (q15_t)0xe1e, (q15_t)0x7e6f, (q15_t)0xe12,
+ (q15_t)0x7e72, (q15_t)0xe06, (q15_t)0x7e75, (q15_t)0xdf9, (q15_t)0x7e77, (q15_t)0xded, (q15_t)0x7e7a, (q15_t)0xde1,
+ (q15_t)0x7e7d, (q15_t)0xdd5, (q15_t)0x7e80, (q15_t)0xdc8, (q15_t)0x7e82, (q15_t)0xdbc, (q15_t)0x7e85, (q15_t)0xdb0,
+ (q15_t)0x7e88, (q15_t)0xda4, (q15_t)0x7e8a, (q15_t)0xd97, (q15_t)0x7e8d, (q15_t)0xd8b, (q15_t)0x7e90, (q15_t)0xd7f,
+ (q15_t)0x7e92, (q15_t)0xd72, (q15_t)0x7e95, (q15_t)0xd66, (q15_t)0x7e98, (q15_t)0xd5a, (q15_t)0x7e9a, (q15_t)0xd4e,
+ (q15_t)0x7e9d, (q15_t)0xd41, (q15_t)0x7e9f, (q15_t)0xd35, (q15_t)0x7ea2, (q15_t)0xd29, (q15_t)0x7ea5, (q15_t)0xd1c,
+ (q15_t)0x7ea7, (q15_t)0xd10, (q15_t)0x7eaa, (q15_t)0xd04, (q15_t)0x7eac, (q15_t)0xcf8, (q15_t)0x7eaf, (q15_t)0xceb,
+ (q15_t)0x7eb1, (q15_t)0xcdf, (q15_t)0x7eb4, (q15_t)0xcd3, (q15_t)0x7eb6, (q15_t)0xcc6, (q15_t)0x7eb9, (q15_t)0xcba,
+ (q15_t)0x7ebb, (q15_t)0xcae, (q15_t)0x7ebe, (q15_t)0xca1, (q15_t)0x7ec0, (q15_t)0xc95, (q15_t)0x7ec3, (q15_t)0xc89,
+ (q15_t)0x7ec5, (q15_t)0xc7c, (q15_t)0x7ec8, (q15_t)0xc70, (q15_t)0x7eca, (q15_t)0xc64, (q15_t)0x7ecc, (q15_t)0xc57,
+ (q15_t)0x7ecf, (q15_t)0xc4b, (q15_t)0x7ed1, (q15_t)0xc3f, (q15_t)0x7ed4, (q15_t)0xc32, (q15_t)0x7ed6, (q15_t)0xc26,
+ (q15_t)0x7ed8, (q15_t)0xc1a, (q15_t)0x7edb, (q15_t)0xc0d, (q15_t)0x7edd, (q15_t)0xc01, (q15_t)0x7ee0, (q15_t)0xbf5,
+ (q15_t)0x7ee2, (q15_t)0xbe8, (q15_t)0x7ee4, (q15_t)0xbdc, (q15_t)0x7ee7, (q15_t)0xbd0, (q15_t)0x7ee9, (q15_t)0xbc3,
+ (q15_t)0x7eeb, (q15_t)0xbb7, (q15_t)0x7eed, (q15_t)0xbab, (q15_t)0x7ef0, (q15_t)0xb9e, (q15_t)0x7ef2, (q15_t)0xb92,
+ (q15_t)0x7ef4, (q15_t)0xb85, (q15_t)0x7ef7, (q15_t)0xb79, (q15_t)0x7ef9, (q15_t)0xb6d, (q15_t)0x7efb, (q15_t)0xb60,
+ (q15_t)0x7efd, (q15_t)0xb54, (q15_t)0x7f00, (q15_t)0xb48, (q15_t)0x7f02, (q15_t)0xb3b, (q15_t)0x7f04, (q15_t)0xb2f,
+ (q15_t)0x7f06, (q15_t)0xb23, (q15_t)0x7f08, (q15_t)0xb16, (q15_t)0x7f0a, (q15_t)0xb0a, (q15_t)0x7f0d, (q15_t)0xafd,
+ (q15_t)0x7f0f, (q15_t)0xaf1, (q15_t)0x7f11, (q15_t)0xae5, (q15_t)0x7f13, (q15_t)0xad8, (q15_t)0x7f15, (q15_t)0xacc,
+ (q15_t)0x7f17, (q15_t)0xac0, (q15_t)0x7f19, (q15_t)0xab3, (q15_t)0x7f1c, (q15_t)0xaa7, (q15_t)0x7f1e, (q15_t)0xa9a,
+ (q15_t)0x7f20, (q15_t)0xa8e, (q15_t)0x7f22, (q15_t)0xa82, (q15_t)0x7f24, (q15_t)0xa75, (q15_t)0x7f26, (q15_t)0xa69,
+ (q15_t)0x7f28, (q15_t)0xa5c, (q15_t)0x7f2a, (q15_t)0xa50, (q15_t)0x7f2c, (q15_t)0xa44, (q15_t)0x7f2e, (q15_t)0xa37,
+ (q15_t)0x7f30, (q15_t)0xa2b, (q15_t)0x7f32, (q15_t)0xa1e, (q15_t)0x7f34, (q15_t)0xa12, (q15_t)0x7f36, (q15_t)0xa06,
+ (q15_t)0x7f38, (q15_t)0x9f9, (q15_t)0x7f3a, (q15_t)0x9ed, (q15_t)0x7f3c, (q15_t)0x9e0, (q15_t)0x7f3e, (q15_t)0x9d4,
+ (q15_t)0x7f40, (q15_t)0x9c7, (q15_t)0x7f42, (q15_t)0x9bb, (q15_t)0x7f43, (q15_t)0x9af, (q15_t)0x7f45, (q15_t)0x9a2,
+ (q15_t)0x7f47, (q15_t)0x996, (q15_t)0x7f49, (q15_t)0x989, (q15_t)0x7f4b, (q15_t)0x97d, (q15_t)0x7f4d, (q15_t)0x970,
+ (q15_t)0x7f4f, (q15_t)0x964, (q15_t)0x7f51, (q15_t)0x958, (q15_t)0x7f52, (q15_t)0x94b, (q15_t)0x7f54, (q15_t)0x93f,
+ (q15_t)0x7f56, (q15_t)0x932, (q15_t)0x7f58, (q15_t)0x926, (q15_t)0x7f5a, (q15_t)0x919, (q15_t)0x7f5b, (q15_t)0x90d,
+ (q15_t)0x7f5d, (q15_t)0x901, (q15_t)0x7f5f, (q15_t)0x8f4, (q15_t)0x7f61, (q15_t)0x8e8, (q15_t)0x7f62, (q15_t)0x8db,
+ (q15_t)0x7f64, (q15_t)0x8cf, (q15_t)0x7f66, (q15_t)0x8c2, (q15_t)0x7f68, (q15_t)0x8b6, (q15_t)0x7f69, (q15_t)0x8a9,
+ (q15_t)0x7f6b, (q15_t)0x89d, (q15_t)0x7f6d, (q15_t)0x891, (q15_t)0x7f6e, (q15_t)0x884, (q15_t)0x7f70, (q15_t)0x878,
+ (q15_t)0x7f72, (q15_t)0x86b, (q15_t)0x7f73, (q15_t)0x85f, (q15_t)0x7f75, (q15_t)0x852, (q15_t)0x7f77, (q15_t)0x846,
+ (q15_t)0x7f78, (q15_t)0x839, (q15_t)0x7f7a, (q15_t)0x82d, (q15_t)0x7f7b, (q15_t)0x820, (q15_t)0x7f7d, (q15_t)0x814,
+ (q15_t)0x7f7f, (q15_t)0x807, (q15_t)0x7f80, (q15_t)0x7fb, (q15_t)0x7f82, (q15_t)0x7ef, (q15_t)0x7f83, (q15_t)0x7e2,
+ (q15_t)0x7f85, (q15_t)0x7d6, (q15_t)0x7f86, (q15_t)0x7c9, (q15_t)0x7f88, (q15_t)0x7bd, (q15_t)0x7f89, (q15_t)0x7b0,
+ (q15_t)0x7f8b, (q15_t)0x7a4, (q15_t)0x7f8c, (q15_t)0x797, (q15_t)0x7f8e, (q15_t)0x78b, (q15_t)0x7f8f, (q15_t)0x77e,
+ (q15_t)0x7f91, (q15_t)0x772, (q15_t)0x7f92, (q15_t)0x765, (q15_t)0x7f94, (q15_t)0x759, (q15_t)0x7f95, (q15_t)0x74c,
+ (q15_t)0x7f97, (q15_t)0x740, (q15_t)0x7f98, (q15_t)0x733, (q15_t)0x7f99, (q15_t)0x727, (q15_t)0x7f9b, (q15_t)0x71a,
+ (q15_t)0x7f9c, (q15_t)0x70e, (q15_t)0x7f9e, (q15_t)0x701, (q15_t)0x7f9f, (q15_t)0x6f5, (q15_t)0x7fa0, (q15_t)0x6e8,
+ (q15_t)0x7fa2, (q15_t)0x6dc, (q15_t)0x7fa3, (q15_t)0x6cf, (q15_t)0x7fa4, (q15_t)0x6c3, (q15_t)0x7fa6, (q15_t)0x6b6,
+ (q15_t)0x7fa7, (q15_t)0x6aa, (q15_t)0x7fa8, (q15_t)0x69d, (q15_t)0x7faa, (q15_t)0x691, (q15_t)0x7fab, (q15_t)0x684,
+ (q15_t)0x7fac, (q15_t)0x678, (q15_t)0x7fad, (q15_t)0x66b, (q15_t)0x7faf, (q15_t)0x65f, (q15_t)0x7fb0, (q15_t)0x652,
+ (q15_t)0x7fb1, (q15_t)0x646, (q15_t)0x7fb2, (q15_t)0x639, (q15_t)0x7fb4, (q15_t)0x62d, (q15_t)0x7fb5, (q15_t)0x620,
+ (q15_t)0x7fb6, (q15_t)0x614, (q15_t)0x7fb7, (q15_t)0x607, (q15_t)0x7fb8, (q15_t)0x5fb, (q15_t)0x7fb9, (q15_t)0x5ee,
+ (q15_t)0x7fbb, (q15_t)0x5e2, (q15_t)0x7fbc, (q15_t)0x5d5, (q15_t)0x7fbd, (q15_t)0x5c9, (q15_t)0x7fbe, (q15_t)0x5bc,
+ (q15_t)0x7fbf, (q15_t)0x5b0, (q15_t)0x7fc0, (q15_t)0x5a3, (q15_t)0x7fc1, (q15_t)0x597, (q15_t)0x7fc3, (q15_t)0x58a,
+ (q15_t)0x7fc4, (q15_t)0x57e, (q15_t)0x7fc5, (q15_t)0x571, (q15_t)0x7fc6, (q15_t)0x565, (q15_t)0x7fc7, (q15_t)0x558,
+ (q15_t)0x7fc8, (q15_t)0x54c, (q15_t)0x7fc9, (q15_t)0x53f, (q15_t)0x7fca, (q15_t)0x533, (q15_t)0x7fcb, (q15_t)0x526,
+ (q15_t)0x7fcc, (q15_t)0x51a, (q15_t)0x7fcd, (q15_t)0x50d, (q15_t)0x7fce, (q15_t)0x500, (q15_t)0x7fcf, (q15_t)0x4f4,
+ (q15_t)0x7fd0, (q15_t)0x4e7, (q15_t)0x7fd1, (q15_t)0x4db, (q15_t)0x7fd2, (q15_t)0x4ce, (q15_t)0x7fd3, (q15_t)0x4c2,
+ (q15_t)0x7fd4, (q15_t)0x4b5, (q15_t)0x7fd5, (q15_t)0x4a9, (q15_t)0x7fd5, (q15_t)0x49c, (q15_t)0x7fd6, (q15_t)0x490,
+ (q15_t)0x7fd7, (q15_t)0x483, (q15_t)0x7fd8, (q15_t)0x477, (q15_t)0x7fd9, (q15_t)0x46a, (q15_t)0x7fda, (q15_t)0x45e,
+ (q15_t)0x7fdb, (q15_t)0x451, (q15_t)0x7fdc, (q15_t)0x444, (q15_t)0x7fdc, (q15_t)0x438, (q15_t)0x7fdd, (q15_t)0x42b,
+ (q15_t)0x7fde, (q15_t)0x41f, (q15_t)0x7fdf, (q15_t)0x412, (q15_t)0x7fe0, (q15_t)0x406, (q15_t)0x7fe0, (q15_t)0x3f9,
+ (q15_t)0x7fe1, (q15_t)0x3ed, (q15_t)0x7fe2, (q15_t)0x3e0, (q15_t)0x7fe3, (q15_t)0x3d4, (q15_t)0x7fe3, (q15_t)0x3c7,
+ (q15_t)0x7fe4, (q15_t)0x3bb, (q15_t)0x7fe5, (q15_t)0x3ae, (q15_t)0x7fe6, (q15_t)0x3a1, (q15_t)0x7fe6, (q15_t)0x395,
+ (q15_t)0x7fe7, (q15_t)0x388, (q15_t)0x7fe8, (q15_t)0x37c, (q15_t)0x7fe8, (q15_t)0x36f, (q15_t)0x7fe9, (q15_t)0x363,
+ (q15_t)0x7fea, (q15_t)0x356, (q15_t)0x7fea, (q15_t)0x34a, (q15_t)0x7feb, (q15_t)0x33d, (q15_t)0x7fec, (q15_t)0x330,
+ (q15_t)0x7fec, (q15_t)0x324, (q15_t)0x7fed, (q15_t)0x317, (q15_t)0x7fed, (q15_t)0x30b, (q15_t)0x7fee, (q15_t)0x2fe,
+ (q15_t)0x7fef, (q15_t)0x2f2, (q15_t)0x7fef, (q15_t)0x2e5, (q15_t)0x7ff0, (q15_t)0x2d9, (q15_t)0x7ff0, (q15_t)0x2cc,
+ (q15_t)0x7ff1, (q15_t)0x2c0, (q15_t)0x7ff1, (q15_t)0x2b3, (q15_t)0x7ff2, (q15_t)0x2a6, (q15_t)0x7ff2, (q15_t)0x29a,
+ (q15_t)0x7ff3, (q15_t)0x28d, (q15_t)0x7ff3, (q15_t)0x281, (q15_t)0x7ff4, (q15_t)0x274, (q15_t)0x7ff4, (q15_t)0x268,
+ (q15_t)0x7ff5, (q15_t)0x25b, (q15_t)0x7ff5, (q15_t)0x24e, (q15_t)0x7ff6, (q15_t)0x242, (q15_t)0x7ff6, (q15_t)0x235,
+ (q15_t)0x7ff7, (q15_t)0x229, (q15_t)0x7ff7, (q15_t)0x21c, (q15_t)0x7ff7, (q15_t)0x210, (q15_t)0x7ff8, (q15_t)0x203,
+ (q15_t)0x7ff8, (q15_t)0x1f7, (q15_t)0x7ff9, (q15_t)0x1ea, (q15_t)0x7ff9, (q15_t)0x1dd, (q15_t)0x7ff9, (q15_t)0x1d1,
+ (q15_t)0x7ffa, (q15_t)0x1c4, (q15_t)0x7ffa, (q15_t)0x1b8, (q15_t)0x7ffa, (q15_t)0x1ab, (q15_t)0x7ffb, (q15_t)0x19f,
+ (q15_t)0x7ffb, (q15_t)0x192, (q15_t)0x7ffb, (q15_t)0x186, (q15_t)0x7ffc, (q15_t)0x179, (q15_t)0x7ffc, (q15_t)0x16c,
+ (q15_t)0x7ffc, (q15_t)0x160, (q15_t)0x7ffc, (q15_t)0x153, (q15_t)0x7ffd, (q15_t)0x147, (q15_t)0x7ffd, (q15_t)0x13a,
+ (q15_t)0x7ffd, (q15_t)0x12e, (q15_t)0x7ffd, (q15_t)0x121, (q15_t)0x7ffe, (q15_t)0x114, (q15_t)0x7ffe, (q15_t)0x108,
+ (q15_t)0x7ffe, (q15_t)0xfb, (q15_t)0x7ffe, (q15_t)0xef, (q15_t)0x7ffe, (q15_t)0xe2, (q15_t)0x7fff, (q15_t)0xd6,
+ (q15_t)0x7fff, (q15_t)0xc9, (q15_t)0x7fff, (q15_t)0xbc, (q15_t)0x7fff, (q15_t)0xb0, (q15_t)0x7fff, (q15_t)0xa3,
+ (q15_t)0x7fff, (q15_t)0x97, (q15_t)0x7fff, (q15_t)0x8a, (q15_t)0x7fff, (q15_t)0x7e, (q15_t)0x7fff, (q15_t)0x71,
+ (q15_t)0x7fff, (q15_t)0x65, (q15_t)0x7fff, (q15_t)0x58, (q15_t)0x7fff, (q15_t)0x4b, (q15_t)0x7fff, (q15_t)0x3f,
+ (q15_t)0x7fff, (q15_t)0x32, (q15_t)0x7fff, (q15_t)0x26, (q15_t)0x7fff, (q15_t)0x19, (q15_t)0x7fff, (q15_t)0xd,
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfff3, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffda,
+ (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc1, (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffa8,
+ (q15_t)0x7fff, (q15_t)0xff9b, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff82, (q15_t)0x7fff, (q15_t)0xff76,
+ (q15_t)0x7fff, (q15_t)0xff69, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff50, (q15_t)0x7fff, (q15_t)0xff44,
+ (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff2a, (q15_t)0x7ffe, (q15_t)0xff1e, (q15_t)0x7ffe, (q15_t)0xff11,
+ (q15_t)0x7ffe, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfef8, (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffd, (q15_t)0xfedf,
+ (q15_t)0x7ffd, (q15_t)0xfed2, (q15_t)0x7ffd, (q15_t)0xfec6, (q15_t)0x7ffd, (q15_t)0xfeb9, (q15_t)0x7ffc, (q15_t)0xfead,
+ (q15_t)0x7ffc, (q15_t)0xfea0, (q15_t)0x7ffc, (q15_t)0xfe94, (q15_t)0x7ffc, (q15_t)0xfe87, (q15_t)0x7ffb, (q15_t)0xfe7a,
+ (q15_t)0x7ffb, (q15_t)0xfe6e, (q15_t)0x7ffb, (q15_t)0xfe61, (q15_t)0x7ffa, (q15_t)0xfe55, (q15_t)0x7ffa, (q15_t)0xfe48,
+ (q15_t)0x7ffa, (q15_t)0xfe3c, (q15_t)0x7ff9, (q15_t)0xfe2f, (q15_t)0x7ff9, (q15_t)0xfe23, (q15_t)0x7ff9, (q15_t)0xfe16,
+ (q15_t)0x7ff8, (q15_t)0xfe09, (q15_t)0x7ff8, (q15_t)0xfdfd, (q15_t)0x7ff7, (q15_t)0xfdf0, (q15_t)0x7ff7, (q15_t)0xfde4,
+ (q15_t)0x7ff7, (q15_t)0xfdd7, (q15_t)0x7ff6, (q15_t)0xfdcb, (q15_t)0x7ff6, (q15_t)0xfdbe, (q15_t)0x7ff5, (q15_t)0xfdb2,
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+ (q15_t)0x7ff3, (q15_t)0xfd73, (q15_t)0x7ff2, (q15_t)0xfd66, (q15_t)0x7ff2, (q15_t)0xfd5a, (q15_t)0x7ff1, (q15_t)0xfd4d,
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+ (q15_t)0x7fef, (q15_t)0xfd0e, (q15_t)0x7fee, (q15_t)0xfd02, (q15_t)0x7fed, (q15_t)0xfcf5, (q15_t)0x7fed, (q15_t)0xfce9,
+ (q15_t)0x7fec, (q15_t)0xfcdc, (q15_t)0x7fec, (q15_t)0xfcd0, (q15_t)0x7feb, (q15_t)0xfcc3, (q15_t)0x7fea, (q15_t)0xfcb6,
+ (q15_t)0x7fea, (q15_t)0xfcaa, (q15_t)0x7fe9, (q15_t)0xfc9d, (q15_t)0x7fe8, (q15_t)0xfc91, (q15_t)0x7fe8, (q15_t)0xfc84,
+ (q15_t)0x7fe7, (q15_t)0xfc78, (q15_t)0x7fe6, (q15_t)0xfc6b, (q15_t)0x7fe6, (q15_t)0xfc5f, (q15_t)0x7fe5, (q15_t)0xfc52,
+ (q15_t)0x7fe4, (q15_t)0xfc45, (q15_t)0x7fe3, (q15_t)0xfc39, (q15_t)0x7fe3, (q15_t)0xfc2c, (q15_t)0x7fe2, (q15_t)0xfc20,
+ (q15_t)0x7fe1, (q15_t)0xfc13, (q15_t)0x7fe0, (q15_t)0xfc07, (q15_t)0x7fe0, (q15_t)0xfbfa, (q15_t)0x7fdf, (q15_t)0xfbee,
+ (q15_t)0x7fde, (q15_t)0xfbe1, (q15_t)0x7fdd, (q15_t)0xfbd5, (q15_t)0x7fdc, (q15_t)0xfbc8, (q15_t)0x7fdc, (q15_t)0xfbbc,
+ (q15_t)0x7fdb, (q15_t)0xfbaf, (q15_t)0x7fda, (q15_t)0xfba2, (q15_t)0x7fd9, (q15_t)0xfb96, (q15_t)0x7fd8, (q15_t)0xfb89,
+ (q15_t)0x7fd7, (q15_t)0xfb7d, (q15_t)0x7fd6, (q15_t)0xfb70, (q15_t)0x7fd5, (q15_t)0xfb64, (q15_t)0x7fd5, (q15_t)0xfb57,
+ (q15_t)0x7fd4, (q15_t)0xfb4b, (q15_t)0x7fd3, (q15_t)0xfb3e, (q15_t)0x7fd2, (q15_t)0xfb32, (q15_t)0x7fd1, (q15_t)0xfb25,
+ (q15_t)0x7fd0, (q15_t)0xfb19, (q15_t)0x7fcf, (q15_t)0xfb0c, (q15_t)0x7fce, (q15_t)0xfb00, (q15_t)0x7fcd, (q15_t)0xfaf3,
+ (q15_t)0x7fcc, (q15_t)0xfae6, (q15_t)0x7fcb, (q15_t)0xfada, (q15_t)0x7fca, (q15_t)0xfacd, (q15_t)0x7fc9, (q15_t)0xfac1,
+ (q15_t)0x7fc8, (q15_t)0xfab4, (q15_t)0x7fc7, (q15_t)0xfaa8, (q15_t)0x7fc6, (q15_t)0xfa9b, (q15_t)0x7fc5, (q15_t)0xfa8f,
+ (q15_t)0x7fc4, (q15_t)0xfa82, (q15_t)0x7fc3, (q15_t)0xfa76, (q15_t)0x7fc1, (q15_t)0xfa69, (q15_t)0x7fc0, (q15_t)0xfa5d,
+ (q15_t)0x7fbf, (q15_t)0xfa50, (q15_t)0x7fbe, (q15_t)0xfa44, (q15_t)0x7fbd, (q15_t)0xfa37, (q15_t)0x7fbc, (q15_t)0xfa2b,
+ (q15_t)0x7fbb, (q15_t)0xfa1e, (q15_t)0x7fb9, (q15_t)0xfa12, (q15_t)0x7fb8, (q15_t)0xfa05, (q15_t)0x7fb7, (q15_t)0xf9f9,
+ (q15_t)0x7fb6, (q15_t)0xf9ec, (q15_t)0x7fb5, (q15_t)0xf9e0, (q15_t)0x7fb4, (q15_t)0xf9d3, (q15_t)0x7fb2, (q15_t)0xf9c7,
+ (q15_t)0x7fb1, (q15_t)0xf9ba, (q15_t)0x7fb0, (q15_t)0xf9ae, (q15_t)0x7faf, (q15_t)0xf9a1, (q15_t)0x7fad, (q15_t)0xf995,
+ (q15_t)0x7fac, (q15_t)0xf988, (q15_t)0x7fab, (q15_t)0xf97c, (q15_t)0x7faa, (q15_t)0xf96f, (q15_t)0x7fa8, (q15_t)0xf963,
+ (q15_t)0x7fa7, (q15_t)0xf956, (q15_t)0x7fa6, (q15_t)0xf94a, (q15_t)0x7fa4, (q15_t)0xf93d, (q15_t)0x7fa3, (q15_t)0xf931,
+ (q15_t)0x7fa2, (q15_t)0xf924, (q15_t)0x7fa0, (q15_t)0xf918, (q15_t)0x7f9f, (q15_t)0xf90b, (q15_t)0x7f9e, (q15_t)0xf8ff,
+ (q15_t)0x7f9c, (q15_t)0xf8f2, (q15_t)0x7f9b, (q15_t)0xf8e6, (q15_t)0x7f99, (q15_t)0xf8d9, (q15_t)0x7f98, (q15_t)0xf8cd,
+ (q15_t)0x7f97, (q15_t)0xf8c0, (q15_t)0x7f95, (q15_t)0xf8b4, (q15_t)0x7f94, (q15_t)0xf8a7, (q15_t)0x7f92, (q15_t)0xf89b,
+ (q15_t)0x7f91, (q15_t)0xf88e, (q15_t)0x7f8f, (q15_t)0xf882, (q15_t)0x7f8e, (q15_t)0xf875, (q15_t)0x7f8c, (q15_t)0xf869,
+ (q15_t)0x7f8b, (q15_t)0xf85c, (q15_t)0x7f89, (q15_t)0xf850, (q15_t)0x7f88, (q15_t)0xf843, (q15_t)0x7f86, (q15_t)0xf837,
+ (q15_t)0x7f85, (q15_t)0xf82a, (q15_t)0x7f83, (q15_t)0xf81e, (q15_t)0x7f82, (q15_t)0xf811, (q15_t)0x7f80, (q15_t)0xf805,
+ (q15_t)0x7f7f, (q15_t)0xf7f9, (q15_t)0x7f7d, (q15_t)0xf7ec, (q15_t)0x7f7b, (q15_t)0xf7e0, (q15_t)0x7f7a, (q15_t)0xf7d3,
+ (q15_t)0x7f78, (q15_t)0xf7c7, (q15_t)0x7f77, (q15_t)0xf7ba, (q15_t)0x7f75, (q15_t)0xf7ae, (q15_t)0x7f73, (q15_t)0xf7a1,
+ (q15_t)0x7f72, (q15_t)0xf795, (q15_t)0x7f70, (q15_t)0xf788, (q15_t)0x7f6e, (q15_t)0xf77c, (q15_t)0x7f6d, (q15_t)0xf76f,
+ (q15_t)0x7f6b, (q15_t)0xf763, (q15_t)0x7f69, (q15_t)0xf757, (q15_t)0x7f68, (q15_t)0xf74a, (q15_t)0x7f66, (q15_t)0xf73e,
+ (q15_t)0x7f64, (q15_t)0xf731, (q15_t)0x7f62, (q15_t)0xf725, (q15_t)0x7f61, (q15_t)0xf718, (q15_t)0x7f5f, (q15_t)0xf70c,
+ (q15_t)0x7f5d, (q15_t)0xf6ff, (q15_t)0x7f5b, (q15_t)0xf6f3, (q15_t)0x7f5a, (q15_t)0xf6e7, (q15_t)0x7f58, (q15_t)0xf6da,
+ (q15_t)0x7f56, (q15_t)0xf6ce, (q15_t)0x7f54, (q15_t)0xf6c1, (q15_t)0x7f52, (q15_t)0xf6b5, (q15_t)0x7f51, (q15_t)0xf6a8,
+ (q15_t)0x7f4f, (q15_t)0xf69c, (q15_t)0x7f4d, (q15_t)0xf690, (q15_t)0x7f4b, (q15_t)0xf683, (q15_t)0x7f49, (q15_t)0xf677,
+ (q15_t)0x7f47, (q15_t)0xf66a, (q15_t)0x7f45, (q15_t)0xf65e, (q15_t)0x7f43, (q15_t)0xf651, (q15_t)0x7f42, (q15_t)0xf645,
+ (q15_t)0x7f40, (q15_t)0xf639, (q15_t)0x7f3e, (q15_t)0xf62c, (q15_t)0x7f3c, (q15_t)0xf620, (q15_t)0x7f3a, (q15_t)0xf613,
+ (q15_t)0x7f38, (q15_t)0xf607, (q15_t)0x7f36, (q15_t)0xf5fa, (q15_t)0x7f34, (q15_t)0xf5ee, (q15_t)0x7f32, (q15_t)0xf5e2,
+ (q15_t)0x7f30, (q15_t)0xf5d5, (q15_t)0x7f2e, (q15_t)0xf5c9, (q15_t)0x7f2c, (q15_t)0xf5bc, (q15_t)0x7f2a, (q15_t)0xf5b0,
+ (q15_t)0x7f28, (q15_t)0xf5a4, (q15_t)0x7f26, (q15_t)0xf597, (q15_t)0x7f24, (q15_t)0xf58b, (q15_t)0x7f22, (q15_t)0xf57e,
+ (q15_t)0x7f20, (q15_t)0xf572, (q15_t)0x7f1e, (q15_t)0xf566, (q15_t)0x7f1c, (q15_t)0xf559, (q15_t)0x7f19, (q15_t)0xf54d,
+ (q15_t)0x7f17, (q15_t)0xf540, (q15_t)0x7f15, (q15_t)0xf534, (q15_t)0x7f13, (q15_t)0xf528, (q15_t)0x7f11, (q15_t)0xf51b,
+ (q15_t)0x7f0f, (q15_t)0xf50f, (q15_t)0x7f0d, (q15_t)0xf503, (q15_t)0x7f0a, (q15_t)0xf4f6, (q15_t)0x7f08, (q15_t)0xf4ea,
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+ (q15_t)0x64b1, (q15_t)0xcb90, (q15_t)0x64a7, (q15_t)0xcb89, (q15_t)0x649c, (q15_t)0xcb81, (q15_t)0x6492, (q15_t)0xcb7a,
+ (q15_t)0x6488, (q15_t)0xcb73, (q15_t)0x647d, (q15_t)0xcb6c, (q15_t)0x6473, (q15_t)0xcb65, (q15_t)0x6469, (q15_t)0xcb5e,
+ (q15_t)0x645e, (q15_t)0xcb56, (q15_t)0x6454, (q15_t)0xcb4f, (q15_t)0x644a, (q15_t)0xcb48, (q15_t)0x643f, (q15_t)0xcb41,
+ (q15_t)0x6435, (q15_t)0xcb3a, (q15_t)0x642b, (q15_t)0xcb33, (q15_t)0x6420, (q15_t)0xcb2c, (q15_t)0x6416, (q15_t)0xcb25,
+ (q15_t)0x640b, (q15_t)0xcb1e, (q15_t)0x6401, (q15_t)0xcb16, (q15_t)0x63f7, (q15_t)0xcb0f, (q15_t)0x63ec, (q15_t)0xcb08,
+ (q15_t)0x63e2, (q15_t)0xcb01, (q15_t)0x63d7, (q15_t)0xcafa, (q15_t)0x63cd, (q15_t)0xcaf3, (q15_t)0x63c3, (q15_t)0xcaec,
+ (q15_t)0x63b8, (q15_t)0xcae5, (q15_t)0x63ae, (q15_t)0xcade, (q15_t)0x63a3, (q15_t)0xcad7, (q15_t)0x6399, (q15_t)0xcad0,
+ (q15_t)0x638e, (q15_t)0xcac9, (q15_t)0x6384, (q15_t)0xcac2, (q15_t)0x637a, (q15_t)0xcabb, (q15_t)0x636f, (q15_t)0xcab4,
+ (q15_t)0x6365, (q15_t)0xcaad, (q15_t)0x635a, (q15_t)0xcaa6, (q15_t)0x6350, (q15_t)0xca9f, (q15_t)0x6345, (q15_t)0xca99,
+ (q15_t)0x633b, (q15_t)0xca92, (q15_t)0x6330, (q15_t)0xca8b, (q15_t)0x6326, (q15_t)0xca84, (q15_t)0x631b, (q15_t)0xca7d,
+ (q15_t)0x6311, (q15_t)0xca76, (q15_t)0x6306, (q15_t)0xca6f, (q15_t)0x62fc, (q15_t)0xca68, (q15_t)0x62f1, (q15_t)0xca61,
+ (q15_t)0x62e7, (q15_t)0xca5b, (q15_t)0x62dc, (q15_t)0xca54, (q15_t)0x62d2, (q15_t)0xca4d, (q15_t)0x62c7, (q15_t)0xca46,
+ (q15_t)0x62bc, (q15_t)0xca3f, (q15_t)0x62b2, (q15_t)0xca38, (q15_t)0x62a7, (q15_t)0xca32, (q15_t)0x629d, (q15_t)0xca2b,
+ (q15_t)0x6292, (q15_t)0xca24, (q15_t)0x6288, (q15_t)0xca1d, (q15_t)0x627d, (q15_t)0xca16, (q15_t)0x6272, (q15_t)0xca10,
+ (q15_t)0x6268, (q15_t)0xca09, (q15_t)0x625d, (q15_t)0xca02, (q15_t)0x6253, (q15_t)0xc9fb, (q15_t)0x6248, (q15_t)0xc9f5,
+ (q15_t)0x623d, (q15_t)0xc9ee, (q15_t)0x6233, (q15_t)0xc9e7, (q15_t)0x6228, (q15_t)0xc9e0, (q15_t)0x621e, (q15_t)0xc9da,
+ (q15_t)0x6213, (q15_t)0xc9d3, (q15_t)0x6208, (q15_t)0xc9cc, (q15_t)0x61fe, (q15_t)0xc9c6, (q15_t)0x61f3, (q15_t)0xc9bf,
+ (q15_t)0x61e8, (q15_t)0xc9b8, (q15_t)0x61de, (q15_t)0xc9b2, (q15_t)0x61d3, (q15_t)0xc9ab, (q15_t)0x61c8, (q15_t)0xc9a4,
+ (q15_t)0x61be, (q15_t)0xc99e, (q15_t)0x61b3, (q15_t)0xc997, (q15_t)0x61a8, (q15_t)0xc991, (q15_t)0x619e, (q15_t)0xc98a,
+ (q15_t)0x6193, (q15_t)0xc983, (q15_t)0x6188, (q15_t)0xc97d, (q15_t)0x617d, (q15_t)0xc976, (q15_t)0x6173, (q15_t)0xc970,
+ (q15_t)0x6168, (q15_t)0xc969, (q15_t)0x615d, (q15_t)0xc963, (q15_t)0x6153, (q15_t)0xc95c, (q15_t)0x6148, (q15_t)0xc955,
+ (q15_t)0x613d, (q15_t)0xc94f, (q15_t)0x6132, (q15_t)0xc948, (q15_t)0x6128, (q15_t)0xc942, (q15_t)0x611d, (q15_t)0xc93b,
+ (q15_t)0x6112, (q15_t)0xc935, (q15_t)0x6107, (q15_t)0xc92e, (q15_t)0x60fd, (q15_t)0xc928, (q15_t)0x60f2, (q15_t)0xc921,
+ (q15_t)0x60e7, (q15_t)0xc91b, (q15_t)0x60dc, (q15_t)0xc915, (q15_t)0x60d1, (q15_t)0xc90e, (q15_t)0x60c7, (q15_t)0xc908,
+ (q15_t)0x60bc, (q15_t)0xc901, (q15_t)0x60b1, (q15_t)0xc8fb, (q15_t)0x60a6, (q15_t)0xc8f4, (q15_t)0x609b, (q15_t)0xc8ee,
+ (q15_t)0x6091, (q15_t)0xc8e8, (q15_t)0x6086, (q15_t)0xc8e1, (q15_t)0x607b, (q15_t)0xc8db, (q15_t)0x6070, (q15_t)0xc8d4,
+ (q15_t)0x6065, (q15_t)0xc8ce, (q15_t)0x605b, (q15_t)0xc8c8, (q15_t)0x6050, (q15_t)0xc8c1, (q15_t)0x6045, (q15_t)0xc8bb,
+ (q15_t)0x603a, (q15_t)0xc8b5, (q15_t)0x602f, (q15_t)0xc8ae, (q15_t)0x6024, (q15_t)0xc8a8, (q15_t)0x6019, (q15_t)0xc8a2,
+ (q15_t)0x600f, (q15_t)0xc89b, (q15_t)0x6004, (q15_t)0xc895, (q15_t)0x5ff9, (q15_t)0xc88f, (q15_t)0x5fee, (q15_t)0xc889,
+ (q15_t)0x5fe3, (q15_t)0xc882, (q15_t)0x5fd8, (q15_t)0xc87c, (q15_t)0x5fcd, (q15_t)0xc876, (q15_t)0x5fc2, (q15_t)0xc870,
+ (q15_t)0x5fb7, (q15_t)0xc869, (q15_t)0x5fac, (q15_t)0xc863, (q15_t)0x5fa2, (q15_t)0xc85d, (q15_t)0x5f97, (q15_t)0xc857,
+ (q15_t)0x5f8c, (q15_t)0xc850, (q15_t)0x5f81, (q15_t)0xc84a, (q15_t)0x5f76, (q15_t)0xc844, (q15_t)0x5f6b, (q15_t)0xc83e,
+ (q15_t)0x5f60, (q15_t)0xc838, (q15_t)0x5f55, (q15_t)0xc832, (q15_t)0x5f4a, (q15_t)0xc82b, (q15_t)0x5f3f, (q15_t)0xc825,
+ (q15_t)0x5f34, (q15_t)0xc81f, (q15_t)0x5f29, (q15_t)0xc819, (q15_t)0x5f1e, (q15_t)0xc813, (q15_t)0x5f13, (q15_t)0xc80d,
+ (q15_t)0x5f08, (q15_t)0xc807, (q15_t)0x5efd, (q15_t)0xc801, (q15_t)0x5ef2, (q15_t)0xc7fb, (q15_t)0x5ee7, (q15_t)0xc7f5,
+ (q15_t)0x5edc, (q15_t)0xc7ee, (q15_t)0x5ed1, (q15_t)0xc7e8, (q15_t)0x5ec6, (q15_t)0xc7e2, (q15_t)0x5ebb, (q15_t)0xc7dc,
+ (q15_t)0x5eb0, (q15_t)0xc7d6, (q15_t)0x5ea5, (q15_t)0xc7d0, (q15_t)0x5e9a, (q15_t)0xc7ca, (q15_t)0x5e8f, (q15_t)0xc7c4,
+ (q15_t)0x5e84, (q15_t)0xc7be, (q15_t)0x5e79, (q15_t)0xc7b8, (q15_t)0x5e6e, (q15_t)0xc7b2, (q15_t)0x5e63, (q15_t)0xc7ac,
+ (q15_t)0x5e58, (q15_t)0xc7a6, (q15_t)0x5e4d, (q15_t)0xc7a0, (q15_t)0x5e42, (q15_t)0xc79a, (q15_t)0x5e36, (q15_t)0xc795,
+ (q15_t)0x5e2b, (q15_t)0xc78f, (q15_t)0x5e20, (q15_t)0xc789, (q15_t)0x5e15, (q15_t)0xc783, (q15_t)0x5e0a, (q15_t)0xc77d,
+ (q15_t)0x5dff, (q15_t)0xc777, (q15_t)0x5df4, (q15_t)0xc771, (q15_t)0x5de9, (q15_t)0xc76b, (q15_t)0x5dde, (q15_t)0xc765,
+ (q15_t)0x5dd3, (q15_t)0xc75f, (q15_t)0x5dc7, (q15_t)0xc75a, (q15_t)0x5dbc, (q15_t)0xc754, (q15_t)0x5db1, (q15_t)0xc74e,
+ (q15_t)0x5da6, (q15_t)0xc748, (q15_t)0x5d9b, (q15_t)0xc742, (q15_t)0x5d90, (q15_t)0xc73d, (q15_t)0x5d85, (q15_t)0xc737,
+ (q15_t)0x5d79, (q15_t)0xc731, (q15_t)0x5d6e, (q15_t)0xc72b, (q15_t)0x5d63, (q15_t)0xc725, (q15_t)0x5d58, (q15_t)0xc720,
+ (q15_t)0x5d4d, (q15_t)0xc71a, (q15_t)0x5d42, (q15_t)0xc714, (q15_t)0x5d36, (q15_t)0xc70e, (q15_t)0x5d2b, (q15_t)0xc709,
+ (q15_t)0x5d20, (q15_t)0xc703, (q15_t)0x5d15, (q15_t)0xc6fd, (q15_t)0x5d0a, (q15_t)0xc6f7, (q15_t)0x5cff, (q15_t)0xc6f2,
+ (q15_t)0x5cf3, (q15_t)0xc6ec, (q15_t)0x5ce8, (q15_t)0xc6e6, (q15_t)0x5cdd, (q15_t)0xc6e1, (q15_t)0x5cd2, (q15_t)0xc6db,
+ (q15_t)0x5cc6, (q15_t)0xc6d5, (q15_t)0x5cbb, (q15_t)0xc6d0, (q15_t)0x5cb0, (q15_t)0xc6ca, (q15_t)0x5ca5, (q15_t)0xc6c5,
+ (q15_t)0x5c99, (q15_t)0xc6bf, (q15_t)0x5c8e, (q15_t)0xc6b9, (q15_t)0x5c83, (q15_t)0xc6b4, (q15_t)0x5c78, (q15_t)0xc6ae,
+ (q15_t)0x5c6c, (q15_t)0xc6a8, (q15_t)0x5c61, (q15_t)0xc6a3, (q15_t)0x5c56, (q15_t)0xc69d, (q15_t)0x5c4b, (q15_t)0xc698,
+ (q15_t)0x5c3f, (q15_t)0xc692, (q15_t)0x5c34, (q15_t)0xc68d, (q15_t)0x5c29, (q15_t)0xc687, (q15_t)0x5c1e, (q15_t)0xc682,
+ (q15_t)0x5c12, (q15_t)0xc67c, (q15_t)0x5c07, (q15_t)0xc677, (q15_t)0x5bfc, (q15_t)0xc671, (q15_t)0x5bf0, (q15_t)0xc66c,
+ (q15_t)0x5be5, (q15_t)0xc666, (q15_t)0x5bda, (q15_t)0xc661, (q15_t)0x5bce, (q15_t)0xc65b, (q15_t)0x5bc3, (q15_t)0xc656,
+ (q15_t)0x5bb8, (q15_t)0xc650, (q15_t)0x5bac, (q15_t)0xc64b, (q15_t)0x5ba1, (q15_t)0xc645, (q15_t)0x5b96, (q15_t)0xc640,
+ (q15_t)0x5b8a, (q15_t)0xc63b, (q15_t)0x5b7f, (q15_t)0xc635, (q15_t)0x5b74, (q15_t)0xc630, (q15_t)0x5b68, (q15_t)0xc62a,
+ (q15_t)0x5b5d, (q15_t)0xc625, (q15_t)0x5b52, (q15_t)0xc620, (q15_t)0x5b46, (q15_t)0xc61a, (q15_t)0x5b3b, (q15_t)0xc615,
+ (q15_t)0x5b30, (q15_t)0xc610, (q15_t)0x5b24, (q15_t)0xc60a, (q15_t)0x5b19, (q15_t)0xc605, (q15_t)0x5b0d, (q15_t)0xc600,
+ (q15_t)0x5b02, (q15_t)0xc5fa, (q15_t)0x5af7, (q15_t)0xc5f5, (q15_t)0x5aeb, (q15_t)0xc5f0, (q15_t)0x5ae0, (q15_t)0xc5ea,
+ (q15_t)0x5ad4, (q15_t)0xc5e5, (q15_t)0x5ac9, (q15_t)0xc5e0, (q15_t)0x5abe, (q15_t)0xc5db, (q15_t)0x5ab2, (q15_t)0xc5d5,
+ (q15_t)0x5aa7, (q15_t)0xc5d0, (q15_t)0x5a9b, (q15_t)0xc5cb, (q15_t)0x5a90, (q15_t)0xc5c6, (q15_t)0x5a84, (q15_t)0xc5c1,
+ (q15_t)0x5a79, (q15_t)0xc5bb, (q15_t)0x5a6e, (q15_t)0xc5b6, (q15_t)0x5a62, (q15_t)0xc5b1, (q15_t)0x5a57, (q15_t)0xc5ac,
+ (q15_t)0x5a4b, (q15_t)0xc5a7, (q15_t)0x5a40, (q15_t)0xc5a1, (q15_t)0x5a34, (q15_t)0xc59c, (q15_t)0x5a29, (q15_t)0xc597,
+ (q15_t)0x5a1d, (q15_t)0xc592, (q15_t)0x5a12, (q15_t)0xc58d, (q15_t)0x5a06, (q15_t)0xc588, (q15_t)0x59fb, (q15_t)0xc583,
+ (q15_t)0x59ef, (q15_t)0xc57e, (q15_t)0x59e4, (q15_t)0xc578, (q15_t)0x59d8, (q15_t)0xc573, (q15_t)0x59cd, (q15_t)0xc56e,
+ (q15_t)0x59c1, (q15_t)0xc569, (q15_t)0x59b6, (q15_t)0xc564, (q15_t)0x59aa, (q15_t)0xc55f, (q15_t)0x599f, (q15_t)0xc55a,
+ (q15_t)0x5993, (q15_t)0xc555, (q15_t)0x5988, (q15_t)0xc550, (q15_t)0x597c, (q15_t)0xc54b, (q15_t)0x5971, (q15_t)0xc546,
+ (q15_t)0x5965, (q15_t)0xc541, (q15_t)0x595a, (q15_t)0xc53c, (q15_t)0x594e, (q15_t)0xc537, (q15_t)0x5943, (q15_t)0xc532,
+ (q15_t)0x5937, (q15_t)0xc52d, (q15_t)0x592c, (q15_t)0xc528, (q15_t)0x5920, (q15_t)0xc523, (q15_t)0x5914, (q15_t)0xc51e,
+ (q15_t)0x5909, (q15_t)0xc51a, (q15_t)0x58fd, (q15_t)0xc515, (q15_t)0x58f2, (q15_t)0xc510, (q15_t)0x58e6, (q15_t)0xc50b,
+ (q15_t)0x58db, (q15_t)0xc506, (q15_t)0x58cf, (q15_t)0xc501, (q15_t)0x58c3, (q15_t)0xc4fc, (q15_t)0x58b8, (q15_t)0xc4f7,
+ (q15_t)0x58ac, (q15_t)0xc4f2, (q15_t)0x58a1, (q15_t)0xc4ee, (q15_t)0x5895, (q15_t)0xc4e9, (q15_t)0x5889, (q15_t)0xc4e4,
+ (q15_t)0x587e, (q15_t)0xc4df, (q15_t)0x5872, (q15_t)0xc4da, (q15_t)0x5867, (q15_t)0xc4d6, (q15_t)0x585b, (q15_t)0xc4d1,
+ (q15_t)0x584f, (q15_t)0xc4cc, (q15_t)0x5844, (q15_t)0xc4c7, (q15_t)0x5838, (q15_t)0xc4c2, (q15_t)0x582d, (q15_t)0xc4be,
+ (q15_t)0x5821, (q15_t)0xc4b9, (q15_t)0x5815, (q15_t)0xc4b4, (q15_t)0x580a, (q15_t)0xc4b0, (q15_t)0x57fe, (q15_t)0xc4ab,
+ (q15_t)0x57f2, (q15_t)0xc4a6, (q15_t)0x57e7, (q15_t)0xc4a1, (q15_t)0x57db, (q15_t)0xc49d, (q15_t)0x57cf, (q15_t)0xc498,
+ (q15_t)0x57c4, (q15_t)0xc493, (q15_t)0x57b8, (q15_t)0xc48f, (q15_t)0x57ac, (q15_t)0xc48a, (q15_t)0x57a1, (q15_t)0xc485,
+ (q15_t)0x5795, (q15_t)0xc481, (q15_t)0x5789, (q15_t)0xc47c, (q15_t)0x577e, (q15_t)0xc478, (q15_t)0x5772, (q15_t)0xc473,
+ (q15_t)0x5766, (q15_t)0xc46e, (q15_t)0x575b, (q15_t)0xc46a, (q15_t)0x574f, (q15_t)0xc465, (q15_t)0x5743, (q15_t)0xc461,
+ (q15_t)0x5737, (q15_t)0xc45c, (q15_t)0x572c, (q15_t)0xc457, (q15_t)0x5720, (q15_t)0xc453, (q15_t)0x5714, (q15_t)0xc44e,
+ (q15_t)0x5709, (q15_t)0xc44a, (q15_t)0x56fd, (q15_t)0xc445, (q15_t)0x56f1, (q15_t)0xc441, (q15_t)0x56e5, (q15_t)0xc43c,
+ (q15_t)0x56da, (q15_t)0xc438, (q15_t)0x56ce, (q15_t)0xc433, (q15_t)0x56c2, (q15_t)0xc42f, (q15_t)0x56b6, (q15_t)0xc42a,
+ (q15_t)0x56ab, (q15_t)0xc426, (q15_t)0x569f, (q15_t)0xc422, (q15_t)0x5693, (q15_t)0xc41d, (q15_t)0x5687, (q15_t)0xc419,
+ (q15_t)0x567c, (q15_t)0xc414, (q15_t)0x5670, (q15_t)0xc410, (q15_t)0x5664, (q15_t)0xc40b, (q15_t)0x5658, (q15_t)0xc407,
+ (q15_t)0x564c, (q15_t)0xc403, (q15_t)0x5641, (q15_t)0xc3fe, (q15_t)0x5635, (q15_t)0xc3fa, (q15_t)0x5629, (q15_t)0xc3f6,
+ (q15_t)0x561d, (q15_t)0xc3f1, (q15_t)0x5612, (q15_t)0xc3ed, (q15_t)0x5606, (q15_t)0xc3e9, (q15_t)0x55fa, (q15_t)0xc3e4,
+ (q15_t)0x55ee, (q15_t)0xc3e0, (q15_t)0x55e2, (q15_t)0xc3dc, (q15_t)0x55d7, (q15_t)0xc3d7, (q15_t)0x55cb, (q15_t)0xc3d3,
+ (q15_t)0x55bf, (q15_t)0xc3cf, (q15_t)0x55b3, (q15_t)0xc3ca, (q15_t)0x55a7, (q15_t)0xc3c6, (q15_t)0x559b, (q15_t)0xc3c2,
+ (q15_t)0x5590, (q15_t)0xc3be, (q15_t)0x5584, (q15_t)0xc3ba, (q15_t)0x5578, (q15_t)0xc3b5, (q15_t)0x556c, (q15_t)0xc3b1,
+ (q15_t)0x5560, (q15_t)0xc3ad, (q15_t)0x5554, (q15_t)0xc3a9, (q15_t)0x5549, (q15_t)0xc3a5, (q15_t)0x553d, (q15_t)0xc3a0,
+ (q15_t)0x5531, (q15_t)0xc39c, (q15_t)0x5525, (q15_t)0xc398, (q15_t)0x5519, (q15_t)0xc394, (q15_t)0x550d, (q15_t)0xc390,
+ (q15_t)0x5501, (q15_t)0xc38c, (q15_t)0x54f6, (q15_t)0xc387, (q15_t)0x54ea, (q15_t)0xc383, (q15_t)0x54de, (q15_t)0xc37f,
+ (q15_t)0x54d2, (q15_t)0xc37b, (q15_t)0x54c6, (q15_t)0xc377, (q15_t)0x54ba, (q15_t)0xc373, (q15_t)0x54ae, (q15_t)0xc36f,
+ (q15_t)0x54a2, (q15_t)0xc36b, (q15_t)0x5496, (q15_t)0xc367, (q15_t)0x548b, (q15_t)0xc363, (q15_t)0x547f, (q15_t)0xc35f,
+ (q15_t)0x5473, (q15_t)0xc35b, (q15_t)0x5467, (q15_t)0xc357, (q15_t)0x545b, (q15_t)0xc353, (q15_t)0x544f, (q15_t)0xc34f,
+ (q15_t)0x5443, (q15_t)0xc34b, (q15_t)0x5437, (q15_t)0xc347, (q15_t)0x542b, (q15_t)0xc343, (q15_t)0x541f, (q15_t)0xc33f,
+ (q15_t)0x5413, (q15_t)0xc33b, (q15_t)0x5407, (q15_t)0xc337, (q15_t)0x53fb, (q15_t)0xc333, (q15_t)0x53f0, (q15_t)0xc32f,
+ (q15_t)0x53e4, (q15_t)0xc32b, (q15_t)0x53d8, (q15_t)0xc327, (q15_t)0x53cc, (q15_t)0xc323, (q15_t)0x53c0, (q15_t)0xc320,
+ (q15_t)0x53b4, (q15_t)0xc31c, (q15_t)0x53a8, (q15_t)0xc318, (q15_t)0x539c, (q15_t)0xc314, (q15_t)0x5390, (q15_t)0xc310,
+ (q15_t)0x5384, (q15_t)0xc30c, (q15_t)0x5378, (q15_t)0xc308, (q15_t)0x536c, (q15_t)0xc305, (q15_t)0x5360, (q15_t)0xc301,
+ (q15_t)0x5354, (q15_t)0xc2fd, (q15_t)0x5348, (q15_t)0xc2f9, (q15_t)0x533c, (q15_t)0xc2f5, (q15_t)0x5330, (q15_t)0xc2f2,
+ (q15_t)0x5324, (q15_t)0xc2ee, (q15_t)0x5318, (q15_t)0xc2ea, (q15_t)0x530c, (q15_t)0xc2e6, (q15_t)0x5300, (q15_t)0xc2e3,
+ (q15_t)0x52f4, (q15_t)0xc2df, (q15_t)0x52e8, (q15_t)0xc2db, (q15_t)0x52dc, (q15_t)0xc2d8, (q15_t)0x52d0, (q15_t)0xc2d4,
+ (q15_t)0x52c4, (q15_t)0xc2d0, (q15_t)0x52b8, (q15_t)0xc2cc, (q15_t)0x52ac, (q15_t)0xc2c9, (q15_t)0x52a0, (q15_t)0xc2c5,
+ (q15_t)0x5294, (q15_t)0xc2c1, (q15_t)0x5288, (q15_t)0xc2be, (q15_t)0x527c, (q15_t)0xc2ba, (q15_t)0x5270, (q15_t)0xc2b7,
+ (q15_t)0x5264, (q15_t)0xc2b3, (q15_t)0x5258, (q15_t)0xc2af, (q15_t)0x524c, (q15_t)0xc2ac, (q15_t)0x5240, (q15_t)0xc2a8,
+ (q15_t)0x5234, (q15_t)0xc2a5, (q15_t)0x5228, (q15_t)0xc2a1, (q15_t)0x521c, (q15_t)0xc29d, (q15_t)0x5210, (q15_t)0xc29a,
+ (q15_t)0x5204, (q15_t)0xc296, (q15_t)0x51f7, (q15_t)0xc293, (q15_t)0x51eb, (q15_t)0xc28f, (q15_t)0x51df, (q15_t)0xc28c,
+ (q15_t)0x51d3, (q15_t)0xc288, (q15_t)0x51c7, (q15_t)0xc285, (q15_t)0x51bb, (q15_t)0xc281, (q15_t)0x51af, (q15_t)0xc27e,
+ (q15_t)0x51a3, (q15_t)0xc27a, (q15_t)0x5197, (q15_t)0xc277, (q15_t)0x518b, (q15_t)0xc273, (q15_t)0x517f, (q15_t)0xc270,
+ (q15_t)0x5173, (q15_t)0xc26d, (q15_t)0x5167, (q15_t)0xc269, (q15_t)0x515a, (q15_t)0xc266, (q15_t)0x514e, (q15_t)0xc262,
+ (q15_t)0x5142, (q15_t)0xc25f, (q15_t)0x5136, (q15_t)0xc25c, (q15_t)0x512a, (q15_t)0xc258, (q15_t)0x511e, (q15_t)0xc255,
+ (q15_t)0x5112, (q15_t)0xc251, (q15_t)0x5106, (q15_t)0xc24e, (q15_t)0x50fa, (q15_t)0xc24b, (q15_t)0x50ed, (q15_t)0xc247,
+ (q15_t)0x50e1, (q15_t)0xc244, (q15_t)0x50d5, (q15_t)0xc241, (q15_t)0x50c9, (q15_t)0xc23e, (q15_t)0x50bd, (q15_t)0xc23a,
+ (q15_t)0x50b1, (q15_t)0xc237, (q15_t)0x50a5, (q15_t)0xc234, (q15_t)0x5099, (q15_t)0xc230, (q15_t)0x508c, (q15_t)0xc22d,
+ (q15_t)0x5080, (q15_t)0xc22a, (q15_t)0x5074, (q15_t)0xc227, (q15_t)0x5068, (q15_t)0xc223, (q15_t)0x505c, (q15_t)0xc220,
+ (q15_t)0x5050, (q15_t)0xc21d, (q15_t)0x5044, (q15_t)0xc21a, (q15_t)0x5037, (q15_t)0xc217, (q15_t)0x502b, (q15_t)0xc213,
+ (q15_t)0x501f, (q15_t)0xc210, (q15_t)0x5013, (q15_t)0xc20d, (q15_t)0x5007, (q15_t)0xc20a, (q15_t)0x4ffb, (q15_t)0xc207,
+ (q15_t)0x4fee, (q15_t)0xc204, (q15_t)0x4fe2, (q15_t)0xc201, (q15_t)0x4fd6, (q15_t)0xc1fd, (q15_t)0x4fca, (q15_t)0xc1fa,
+ (q15_t)0x4fbe, (q15_t)0xc1f7, (q15_t)0x4fb2, (q15_t)0xc1f4, (q15_t)0x4fa5, (q15_t)0xc1f1, (q15_t)0x4f99, (q15_t)0xc1ee,
+ (q15_t)0x4f8d, (q15_t)0xc1eb, (q15_t)0x4f81, (q15_t)0xc1e8, (q15_t)0x4f75, (q15_t)0xc1e5, (q15_t)0x4f68, (q15_t)0xc1e2,
+ (q15_t)0x4f5c, (q15_t)0xc1df, (q15_t)0x4f50, (q15_t)0xc1dc, (q15_t)0x4f44, (q15_t)0xc1d9, (q15_t)0x4f38, (q15_t)0xc1d6,
+ (q15_t)0x4f2b, (q15_t)0xc1d3, (q15_t)0x4f1f, (q15_t)0xc1d0, (q15_t)0x4f13, (q15_t)0xc1cd, (q15_t)0x4f07, (q15_t)0xc1ca,
+ (q15_t)0x4efb, (q15_t)0xc1c7, (q15_t)0x4eee, (q15_t)0xc1c4, (q15_t)0x4ee2, (q15_t)0xc1c1, (q15_t)0x4ed6, (q15_t)0xc1be,
+ (q15_t)0x4eca, (q15_t)0xc1bb, (q15_t)0x4ebd, (q15_t)0xc1b8, (q15_t)0x4eb1, (q15_t)0xc1b6, (q15_t)0x4ea5, (q15_t)0xc1b3,
+ (q15_t)0x4e99, (q15_t)0xc1b0, (q15_t)0x4e8c, (q15_t)0xc1ad, (q15_t)0x4e80, (q15_t)0xc1aa, (q15_t)0x4e74, (q15_t)0xc1a7,
+ (q15_t)0x4e68, (q15_t)0xc1a4, (q15_t)0x4e5c, (q15_t)0xc1a2, (q15_t)0x4e4f, (q15_t)0xc19f, (q15_t)0x4e43, (q15_t)0xc19c,
+ (q15_t)0x4e37, (q15_t)0xc199, (q15_t)0x4e2b, (q15_t)0xc196, (q15_t)0x4e1e, (q15_t)0xc194, (q15_t)0x4e12, (q15_t)0xc191,
+ (q15_t)0x4e06, (q15_t)0xc18e, (q15_t)0x4df9, (q15_t)0xc18b, (q15_t)0x4ded, (q15_t)0xc189, (q15_t)0x4de1, (q15_t)0xc186,
+ (q15_t)0x4dd5, (q15_t)0xc183, (q15_t)0x4dc8, (q15_t)0xc180, (q15_t)0x4dbc, (q15_t)0xc17e, (q15_t)0x4db0, (q15_t)0xc17b,
+ (q15_t)0x4da4, (q15_t)0xc178, (q15_t)0x4d97, (q15_t)0xc176, (q15_t)0x4d8b, (q15_t)0xc173, (q15_t)0x4d7f, (q15_t)0xc170,
+ (q15_t)0x4d72, (q15_t)0xc16e, (q15_t)0x4d66, (q15_t)0xc16b, (q15_t)0x4d5a, (q15_t)0xc168, (q15_t)0x4d4e, (q15_t)0xc166,
+ (q15_t)0x4d41, (q15_t)0xc163, (q15_t)0x4d35, (q15_t)0xc161, (q15_t)0x4d29, (q15_t)0xc15e, (q15_t)0x4d1c, (q15_t)0xc15b,
+ (q15_t)0x4d10, (q15_t)0xc159, (q15_t)0x4d04, (q15_t)0xc156, (q15_t)0x4cf8, (q15_t)0xc154, (q15_t)0x4ceb, (q15_t)0xc151,
+ (q15_t)0x4cdf, (q15_t)0xc14f, (q15_t)0x4cd3, (q15_t)0xc14c, (q15_t)0x4cc6, (q15_t)0xc14a, (q15_t)0x4cba, (q15_t)0xc147,
+ (q15_t)0x4cae, (q15_t)0xc145, (q15_t)0x4ca1, (q15_t)0xc142, (q15_t)0x4c95, (q15_t)0xc140, (q15_t)0x4c89, (q15_t)0xc13d,
+ (q15_t)0x4c7c, (q15_t)0xc13b, (q15_t)0x4c70, (q15_t)0xc138, (q15_t)0x4c64, (q15_t)0xc136, (q15_t)0x4c57, (q15_t)0xc134,
+ (q15_t)0x4c4b, (q15_t)0xc131, (q15_t)0x4c3f, (q15_t)0xc12f, (q15_t)0x4c32, (q15_t)0xc12c, (q15_t)0x4c26, (q15_t)0xc12a,
+ (q15_t)0x4c1a, (q15_t)0xc128, (q15_t)0x4c0d, (q15_t)0xc125, (q15_t)0x4c01, (q15_t)0xc123, (q15_t)0x4bf5, (q15_t)0xc120,
+ (q15_t)0x4be8, (q15_t)0xc11e, (q15_t)0x4bdc, (q15_t)0xc11c, (q15_t)0x4bd0, (q15_t)0xc119, (q15_t)0x4bc3, (q15_t)0xc117,
+ (q15_t)0x4bb7, (q15_t)0xc115, (q15_t)0x4bab, (q15_t)0xc113, (q15_t)0x4b9e, (q15_t)0xc110, (q15_t)0x4b92, (q15_t)0xc10e,
+ (q15_t)0x4b85, (q15_t)0xc10c, (q15_t)0x4b79, (q15_t)0xc109, (q15_t)0x4b6d, (q15_t)0xc107, (q15_t)0x4b60, (q15_t)0xc105,
+ (q15_t)0x4b54, (q15_t)0xc103, (q15_t)0x4b48, (q15_t)0xc100, (q15_t)0x4b3b, (q15_t)0xc0fe, (q15_t)0x4b2f, (q15_t)0xc0fc,
+ (q15_t)0x4b23, (q15_t)0xc0fa, (q15_t)0x4b16, (q15_t)0xc0f8, (q15_t)0x4b0a, (q15_t)0xc0f6, (q15_t)0x4afd, (q15_t)0xc0f3,
+ (q15_t)0x4af1, (q15_t)0xc0f1, (q15_t)0x4ae5, (q15_t)0xc0ef, (q15_t)0x4ad8, (q15_t)0xc0ed, (q15_t)0x4acc, (q15_t)0xc0eb,
+ (q15_t)0x4ac0, (q15_t)0xc0e9, (q15_t)0x4ab3, (q15_t)0xc0e7, (q15_t)0x4aa7, (q15_t)0xc0e4, (q15_t)0x4a9a, (q15_t)0xc0e2,
+ (q15_t)0x4a8e, (q15_t)0xc0e0, (q15_t)0x4a82, (q15_t)0xc0de, (q15_t)0x4a75, (q15_t)0xc0dc, (q15_t)0x4a69, (q15_t)0xc0da,
+ (q15_t)0x4a5c, (q15_t)0xc0d8, (q15_t)0x4a50, (q15_t)0xc0d6, (q15_t)0x4a44, (q15_t)0xc0d4, (q15_t)0x4a37, (q15_t)0xc0d2,
+ (q15_t)0x4a2b, (q15_t)0xc0d0, (q15_t)0x4a1e, (q15_t)0xc0ce, (q15_t)0x4a12, (q15_t)0xc0cc, (q15_t)0x4a06, (q15_t)0xc0ca,
+ (q15_t)0x49f9, (q15_t)0xc0c8, (q15_t)0x49ed, (q15_t)0xc0c6, (q15_t)0x49e0, (q15_t)0xc0c4, (q15_t)0x49d4, (q15_t)0xc0c2,
+ (q15_t)0x49c7, (q15_t)0xc0c0, (q15_t)0x49bb, (q15_t)0xc0be, (q15_t)0x49af, (q15_t)0xc0bd, (q15_t)0x49a2, (q15_t)0xc0bb,
+ (q15_t)0x4996, (q15_t)0xc0b9, (q15_t)0x4989, (q15_t)0xc0b7, (q15_t)0x497d, (q15_t)0xc0b5, (q15_t)0x4970, (q15_t)0xc0b3,
+ (q15_t)0x4964, (q15_t)0xc0b1, (q15_t)0x4958, (q15_t)0xc0af, (q15_t)0x494b, (q15_t)0xc0ae, (q15_t)0x493f, (q15_t)0xc0ac,
+ (q15_t)0x4932, (q15_t)0xc0aa, (q15_t)0x4926, (q15_t)0xc0a8, (q15_t)0x4919, (q15_t)0xc0a6, (q15_t)0x490d, (q15_t)0xc0a5,
+ (q15_t)0x4901, (q15_t)0xc0a3, (q15_t)0x48f4, (q15_t)0xc0a1, (q15_t)0x48e8, (q15_t)0xc09f, (q15_t)0x48db, (q15_t)0xc09e,
+ (q15_t)0x48cf, (q15_t)0xc09c, (q15_t)0x48c2, (q15_t)0xc09a, (q15_t)0x48b6, (q15_t)0xc098, (q15_t)0x48a9, (q15_t)0xc097,
+ (q15_t)0x489d, (q15_t)0xc095, (q15_t)0x4891, (q15_t)0xc093, (q15_t)0x4884, (q15_t)0xc092, (q15_t)0x4878, (q15_t)0xc090,
+ (q15_t)0x486b, (q15_t)0xc08e, (q15_t)0x485f, (q15_t)0xc08d, (q15_t)0x4852, (q15_t)0xc08b, (q15_t)0x4846, (q15_t)0xc089,
+ (q15_t)0x4839, (q15_t)0xc088, (q15_t)0x482d, (q15_t)0xc086, (q15_t)0x4820, (q15_t)0xc085, (q15_t)0x4814, (q15_t)0xc083,
+ (q15_t)0x4807, (q15_t)0xc081, (q15_t)0x47fb, (q15_t)0xc080, (q15_t)0x47ef, (q15_t)0xc07e, (q15_t)0x47e2, (q15_t)0xc07d,
+ (q15_t)0x47d6, (q15_t)0xc07b, (q15_t)0x47c9, (q15_t)0xc07a, (q15_t)0x47bd, (q15_t)0xc078, (q15_t)0x47b0, (q15_t)0xc077,
+ (q15_t)0x47a4, (q15_t)0xc075, (q15_t)0x4797, (q15_t)0xc074, (q15_t)0x478b, (q15_t)0xc072, (q15_t)0x477e, (q15_t)0xc071,
+ (q15_t)0x4772, (q15_t)0xc06f, (q15_t)0x4765, (q15_t)0xc06e, (q15_t)0x4759, (q15_t)0xc06c, (q15_t)0x474c, (q15_t)0xc06b,
+ (q15_t)0x4740, (q15_t)0xc069, (q15_t)0x4733, (q15_t)0xc068, (q15_t)0x4727, (q15_t)0xc067, (q15_t)0x471a, (q15_t)0xc065,
+ (q15_t)0x470e, (q15_t)0xc064, (q15_t)0x4701, (q15_t)0xc062, (q15_t)0x46f5, (q15_t)0xc061, (q15_t)0x46e8, (q15_t)0xc060,
+ (q15_t)0x46dc, (q15_t)0xc05e, (q15_t)0x46cf, (q15_t)0xc05d, (q15_t)0x46c3, (q15_t)0xc05c, (q15_t)0x46b6, (q15_t)0xc05a,
+ (q15_t)0x46aa, (q15_t)0xc059, (q15_t)0x469d, (q15_t)0xc058, (q15_t)0x4691, (q15_t)0xc056, (q15_t)0x4684, (q15_t)0xc055,
+ (q15_t)0x4678, (q15_t)0xc054, (q15_t)0x466b, (q15_t)0xc053, (q15_t)0x465f, (q15_t)0xc051, (q15_t)0x4652, (q15_t)0xc050,
+ (q15_t)0x4646, (q15_t)0xc04f, (q15_t)0x4639, (q15_t)0xc04e, (q15_t)0x462d, (q15_t)0xc04c, (q15_t)0x4620, (q15_t)0xc04b,
+ (q15_t)0x4614, (q15_t)0xc04a, (q15_t)0x4607, (q15_t)0xc049, (q15_t)0x45fb, (q15_t)0xc048, (q15_t)0x45ee, (q15_t)0xc047,
+ (q15_t)0x45e2, (q15_t)0xc045, (q15_t)0x45d5, (q15_t)0xc044, (q15_t)0x45c9, (q15_t)0xc043, (q15_t)0x45bc, (q15_t)0xc042,
+ (q15_t)0x45b0, (q15_t)0xc041, (q15_t)0x45a3, (q15_t)0xc040, (q15_t)0x4597, (q15_t)0xc03f, (q15_t)0x458a, (q15_t)0xc03d,
+ (q15_t)0x457e, (q15_t)0xc03c, (q15_t)0x4571, (q15_t)0xc03b, (q15_t)0x4565, (q15_t)0xc03a, (q15_t)0x4558, (q15_t)0xc039,
+ (q15_t)0x454c, (q15_t)0xc038, (q15_t)0x453f, (q15_t)0xc037, (q15_t)0x4533, (q15_t)0xc036, (q15_t)0x4526, (q15_t)0xc035,
+ (q15_t)0x451a, (q15_t)0xc034, (q15_t)0x450d, (q15_t)0xc033, (q15_t)0x4500, (q15_t)0xc032, (q15_t)0x44f4, (q15_t)0xc031,
+ (q15_t)0x44e7, (q15_t)0xc030, (q15_t)0x44db, (q15_t)0xc02f, (q15_t)0x44ce, (q15_t)0xc02e, (q15_t)0x44c2, (q15_t)0xc02d,
+ (q15_t)0x44b5, (q15_t)0xc02c, (q15_t)0x44a9, (q15_t)0xc02b, (q15_t)0x449c, (q15_t)0xc02b, (q15_t)0x4490, (q15_t)0xc02a,
+ (q15_t)0x4483, (q15_t)0xc029, (q15_t)0x4477, (q15_t)0xc028, (q15_t)0x446a, (q15_t)0xc027, (q15_t)0x445e, (q15_t)0xc026,
+ (q15_t)0x4451, (q15_t)0xc025, (q15_t)0x4444, (q15_t)0xc024, (q15_t)0x4438, (q15_t)0xc024, (q15_t)0x442b, (q15_t)0xc023,
+ (q15_t)0x441f, (q15_t)0xc022, (q15_t)0x4412, (q15_t)0xc021, (q15_t)0x4406, (q15_t)0xc020, (q15_t)0x43f9, (q15_t)0xc020,
+ (q15_t)0x43ed, (q15_t)0xc01f, (q15_t)0x43e0, (q15_t)0xc01e, (q15_t)0x43d4, (q15_t)0xc01d, (q15_t)0x43c7, (q15_t)0xc01d,
+ (q15_t)0x43bb, (q15_t)0xc01c, (q15_t)0x43ae, (q15_t)0xc01b, (q15_t)0x43a1, (q15_t)0xc01a, (q15_t)0x4395, (q15_t)0xc01a,
+ (q15_t)0x4388, (q15_t)0xc019, (q15_t)0x437c, (q15_t)0xc018, (q15_t)0x436f, (q15_t)0xc018, (q15_t)0x4363, (q15_t)0xc017,
+ (q15_t)0x4356, (q15_t)0xc016, (q15_t)0x434a, (q15_t)0xc016, (q15_t)0x433d, (q15_t)0xc015, (q15_t)0x4330, (q15_t)0xc014,
+ (q15_t)0x4324, (q15_t)0xc014, (q15_t)0x4317, (q15_t)0xc013, (q15_t)0x430b, (q15_t)0xc013, (q15_t)0x42fe, (q15_t)0xc012,
+ (q15_t)0x42f2, (q15_t)0xc011, (q15_t)0x42e5, (q15_t)0xc011, (q15_t)0x42d9, (q15_t)0xc010, (q15_t)0x42cc, (q15_t)0xc010,
+ (q15_t)0x42c0, (q15_t)0xc00f, (q15_t)0x42b3, (q15_t)0xc00f, (q15_t)0x42a6, (q15_t)0xc00e, (q15_t)0x429a, (q15_t)0xc00e,
+ (q15_t)0x428d, (q15_t)0xc00d, (q15_t)0x4281, (q15_t)0xc00d, (q15_t)0x4274, (q15_t)0xc00c, (q15_t)0x4268, (q15_t)0xc00c,
+ (q15_t)0x425b, (q15_t)0xc00b, (q15_t)0x424e, (q15_t)0xc00b, (q15_t)0x4242, (q15_t)0xc00a, (q15_t)0x4235, (q15_t)0xc00a,
+ (q15_t)0x4229, (q15_t)0xc009, (q15_t)0x421c, (q15_t)0xc009, (q15_t)0x4210, (q15_t)0xc009, (q15_t)0x4203, (q15_t)0xc008,
+ (q15_t)0x41f7, (q15_t)0xc008, (q15_t)0x41ea, (q15_t)0xc007, (q15_t)0x41dd, (q15_t)0xc007, (q15_t)0x41d1, (q15_t)0xc007,
+ (q15_t)0x41c4, (q15_t)0xc006, (q15_t)0x41b8, (q15_t)0xc006, (q15_t)0x41ab, (q15_t)0xc006, (q15_t)0x419f, (q15_t)0xc005,
+ (q15_t)0x4192, (q15_t)0xc005, (q15_t)0x4186, (q15_t)0xc005, (q15_t)0x4179, (q15_t)0xc004, (q15_t)0x416c, (q15_t)0xc004,
+ (q15_t)0x4160, (q15_t)0xc004, (q15_t)0x4153, (q15_t)0xc004, (q15_t)0x4147, (q15_t)0xc003, (q15_t)0x413a, (q15_t)0xc003,
+ (q15_t)0x412e, (q15_t)0xc003, (q15_t)0x4121, (q15_t)0xc003, (q15_t)0x4114, (q15_t)0xc002, (q15_t)0x4108, (q15_t)0xc002,
+ (q15_t)0x40fb, (q15_t)0xc002, (q15_t)0x40ef, (q15_t)0xc002, (q15_t)0x40e2, (q15_t)0xc002, (q15_t)0x40d6, (q15_t)0xc001,
+ (q15_t)0x40c9, (q15_t)0xc001, (q15_t)0x40bc, (q15_t)0xc001, (q15_t)0x40b0, (q15_t)0xc001, (q15_t)0x40a3, (q15_t)0xc001,
+ (q15_t)0x4097, (q15_t)0xc001, (q15_t)0x408a, (q15_t)0xc001, (q15_t)0x407e, (q15_t)0xc000, (q15_t)0x4071, (q15_t)0xc000,
+ (q15_t)0x4065, (q15_t)0xc000, (q15_t)0x4058, (q15_t)0xc000, (q15_t)0x404b, (q15_t)0xc000, (q15_t)0x403f, (q15_t)0xc000,
+ (q15_t)0x4032, (q15_t)0xc000, (q15_t)0x4026, (q15_t)0xc000, (q15_t)0x4019, (q15_t)0xc000, (q15_t)0x400d, (q15_t)0xc000,
+};
+
+#endif
+/**
+ @} end of RealFFT_Table group
+ */
+
+/**
+ @ingroup DCT4_IDCT4
+ */
+
+/**
+ @addtogroup DCT4_IDCT4_Table DCT Type IV Tables
+ @{
+ */
+
+/**
+ @brief Weights Table
+ */
+
+/**
+ @par
+ Weights tables are generated using the formula : weights[n] = e^(-j*n*pi/(2*N))+ @par + C command to generate the table +
+ for(i = 0; i< N; i++)
+ {
+ weights[(2*i)] = cos (i*c);
+ weights[(2*i)+1] = -sin (i*c);
+ }
+ @par
+ where N is the Number of weights to be calculated and c is pi/(2*N)
+ @par
+ In the tables below the real and imaginary values are placed alternatively, hence the
+ array length is 2*N.
+ */
+
+
+/**
+ @par
+ cosFactor tables are generated using the formula : cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))+ @par + C command to generate the table + @par +
for(i = 0; i< N; i++)
+ {
+ cos_factors[i]= 2 * cos((2*i+1)*c/2);
+ }
+ @par
+ where N is the number of factors to generate and c is pi/(2*N)
+*/
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
+ const float32_t Weights_128[256] = {
+ 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, -0.012271538285719925f,
+ 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, -0.036807222941358832f,
+ 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, -0.061320736302208578f,
+ 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, -0.085797312344439894f,
+ 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, -0.110222207293883060f,
+ 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, -0.134580708507126170f,
+ 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, -0.158858143333861450f,
+ 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, -0.183039887955140950f,
+ 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, -0.207111376192218560f,
+ 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, -0.231058108280671110f,
+ 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, -0.254865659604514570f,
+ 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, -0.278519689385053060f,
+ 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, -0.302005949319228080f,
+ 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, -0.325310292162262930f,
+ 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, -0.348418680249434560f,
+ 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, -0.371317193951837540f,
+ 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, -0.393992040061048100f,
+ 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, -0.416429560097637150f,
+ 0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, -0.438616238538527660f,
+ 0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, -0.460538710958240010f,
+ 0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, -0.482183772079122720f,
+ 0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, -0.503538383725717580f,
+ 0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, -0.524589682678468950f,
+ 0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, -0.545324988422046460f,
+ 0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, -0.565731810783613120f,
+ 0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, -0.585797857456438860f,
+ 0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, -0.605511041404325550f,
+ 0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, -0.624859488142386340f,
+ 0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, -0.643831542889791390f,
+ 0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, -0.662415777590171780f,
+ 0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, -0.680600997795453020f,
+ 0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, -0.698376249408972920f,
+ 0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, -0.715730825283818590f,
+ 0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, -0.732654271672412820f,
+ 0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, -0.749136394523459260f,
+ 0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, -0.765167265622458960f,
+ 0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, -0.780737228572094380f,
+ 0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, -0.795836904608883460f,
+ 0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, -0.810457198252594770f,
+ 0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f, -0.824589302785025290f,
+ 0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f, -0.838224705554837970f,
+ 0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f, -0.851355193105265200f,
+ 0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f, -0.863972856121586700f,
+ 0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f, -0.876070094195406600f,
+ 0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f, -0.887639620402853930f,
+ 0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f, -0.898674465693953820f,
+ 0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f, -0.909167983090522270f,
+ 0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f, -0.919113851690057770f,
+ 0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f, -0.928506080473215480f,
+ 0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, -0.937339011912574960f,
+ 0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, -0.945607325380521280f,
+ 0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, -0.953306040354193750f,
+ 0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, -0.960430519415565790f,
+ 0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, -0.966976471044852070f,
+ 0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, -0.972939952205560070f,
+ 0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, -0.978317370719627650f,
+ 0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, -0.983105487431216290f,
+ 0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, -0.987301418157858430f,
+ 0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, -0.990902635427780010f,
+ 0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, -0.993906970002356060f,
+ 0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, -0.996312612182778000f,
+ 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, -0.998118112900149180f,
+ 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, -0.999322384588349540f,
+ 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, -0.999924701839144500f
+};
+
+ const float32_t cos_factors_128[128] = {
+ 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
+ 0.999077727752645360f,
+ 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
+ 0.995767414467659820f,
+ 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
+ 0.990058210262297120f,
+ 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
+ 0.981963869109555240f,
+ 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
+ 0.971503890986251780f,
+ 0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
+ 0.958703474895871600f,
+ 0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
+ 0.943593458161960390f,
+ 0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
+ 0.926210242138311380f,
+ 0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
+ 0.906595704514915330f,
+ 0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
+ 0.884797098430937790f,
+ 0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
+ 0.860866938637767310f,
+ 0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
+ 0.834862874986380010f,
+ 0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
+ 0.806847553543799330f,
+ 0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
+ 0.776888465673232440f,
+ 0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
+ 0.745057785441466060f,
+ 0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
+ 0.711432195745216430f,
+ 0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
+ 0.676092703575316030f,
+ 0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
+ 0.639124444863775730f,
+ 0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
+ 0.600616479383868970f,
+ 0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
+ 0.560661576197336030f,
+ 0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
+ 0.519355990165589530f,
+ 0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
+ 0.476799230063322250f,
+ 0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
+ 0.433093818853152010f,
+ 0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
+ 0.388345046698826300f,
+ 0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
+ 0.342660717311994380f,
+ 0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
+ 0.296150888243623960f,
+ 0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
+ 0.248927605745720260f,
+ 0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
+ 0.201104634842091960f,
+ 0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
+ 0.152797185258443410f,
+ 0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
+ 0.104121633872054730f,
+ 0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
+ 0.055195244349690031f,
+ 0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
+ 0.006135884649154515f
+};
+
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
+ const float32_t Weights_512[1024] = {
+ 1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f, -0.003067956762965976f,
+ 0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, -0.009203754782059819f,
+ 0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, -0.015339206284988100f,
+ 0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, -0.021474080275469508f,
+ 0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, -0.027608145778965740f,
+ 0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, -0.033741171851377580f,
+ 0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f, -0.039872927587739811f,
+ 0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f, -0.046003182130914623f,
+ 0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f, -0.052131704680283324f,
+ 0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f, -0.058258264500435752f,
+ 0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f, -0.064382630929857465f,
+ 0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f, -0.070504573389613856f,
+ 0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f, -0.076623861392031492f,
+ 0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f, -0.082740264549375692f,
+ 0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f, -0.088853552582524600f,
+ 0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f, -0.094963495329638992f,
+ 0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f, -0.101069862754827820f,
+ 0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f, -0.107172424956808840f,
+ 0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f, -0.113270952177564350f,
+ 0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f, -0.119365214810991350f,
+ 0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f, -0.125454983411546230f,
+ 0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f, -0.131540028702883120f,
+ 0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f, -0.137620121586486040f,
+ 0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f, -0.143695033150294470f,
+ 0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f, -0.149764534677321510f,
+ 0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f, -0.155828397654265230f,
+ 0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f, -0.161886393780111830f,
+ 0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f, -0.167938294974731170f,
+ 0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f, -0.173983873387463820f,
+ 0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f, -0.180022901405699510f,
+ 0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f, -0.186055151663446630f,
+ 0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f, -0.192080397049892440f,
+ 0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f, -0.198098410717953560f,
+ 0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f, -0.204108966092816870f,
+ 0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f, -0.210111836880469610f,
+ 0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f, -0.216106797076219520f,
+ 0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f, -0.222093620973203510f,
+ 0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f, -0.228072083170885730f,
+ 0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f, -0.234041958583543430f,
+ 0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f, -0.240003022448741500f,
+ 0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f, -0.245955050335794590f,
+ 0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f, -0.251897818154216970f,
+ 0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f, -0.257831102162158990f,
+ 0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f, -0.263754678974831350f,
+ 0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f, -0.269668325572915090f,
+ 0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f, -0.275571819310958140f,
+ 0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f, -0.281464937925757940f,
+ 0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f, -0.287347459544729510f,
+ 0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f, -0.293219162694258630f,
+ 0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f, -0.299079826308040480f,
+ 0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f, -0.304929229735402370f,
+ 0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f, -0.310767152749611470f,
+ 0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f, -0.316593375556165850f,
+ 0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f, -0.322407678801069850f,
+ 0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f, -0.328209843579092500f,
+ 0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f, -0.333999651442009380f,
+ 0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f, -0.339776884406826850f,
+ 0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f, -0.345541324963989090f,
+ 0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f, -0.351292756085567090f,
+ 0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f, -0.357030961233429980f,
+ 0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f, -0.362755724367397230f,
+ 0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f, -0.368466829953372320f,
+ 0.928506080473215590f, -0.371317193951837540f, 0.927362525650401110f, -0.374164062971457930f,
+ 0.926210242138311380f, -0.377007410216418260f, 0.925049240782677580f, -0.379847208924051160f,
+ 0.923879532511286740f, -0.382683432365089780f, 0.922701128333878630f, -0.385516053843918850f,
+ 0.921514039342042010f, -0.388345046698826250f, 0.920318276709110590f, -0.391170384302253870f,
+ 0.919113851690057770f, -0.393992040061048100f, 0.917900775621390500f, -0.396809987416710310f,
+ 0.916679059921042700f, -0.399624199845646790f, 0.915448716088267830f, -0.402434650859418430f,
+ 0.914209755703530690f, -0.405241314004989860f, 0.912962190428398210f, -0.408044162864978690f,
+ 0.911706032005429880f, -0.410843171057903910f, 0.910441292258067250f, -0.413638312238434500f,
+ 0.909167983090522380f, -0.416429560097637150f, 0.907886116487666260f, -0.419216888363223910f,
+ 0.906595704514915330f, -0.422000270799799680f, 0.905296759318118820f, -0.424779681209108810f,
+ 0.903989293123443340f, -0.427555093430282080f, 0.902673318237258830f, -0.430326481340082610f,
+ 0.901348847046022030f, -0.433093818853151960f, 0.900015892016160280f, -0.435857079922255470f,
+ 0.898674465693953820f, -0.438616238538527660f, 0.897324580705418320f, -0.441371268731716670f,
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+ 0.870086991108711460f, -0.492898192229784040f, 0.868570705971340900f, -0.495565261825772540f,
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+ 0.170961888760301360f, -0.985277642388941220f, 0.167938294974731230f, -0.985797509167567370f,
+ 0.164913120489970090f, -0.986308097244598670f, 0.161886393780111910f, -0.986809401814185420f,
+ 0.158858143333861390f, -0.987301418157858430f, 0.155828397654265320f, -0.987784141644572180f,
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+ 0.140658239332849240f, -0.990058210262297120f, 0.137620121586486180f, -0.990485084256456980f,
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+ 0.128498110793793220f, -0.991709753669099530f, 0.125454983411546210f, -0.992099313142191800f,
+ 0.122410675199216280f, -0.992479534598709970f, 0.119365214810991350f, -0.992850414459865100f,
+ 0.116318630911904880f, -0.993211949234794500f, 0.113270952177564360f, -0.993564135520595300f,
+ 0.110222207293883180f, -0.993906970002356060f, 0.107172424956808870f, -0.994240449453187900f,
+ 0.104121633872054730f, -0.994564570734255420f, 0.101069862754827880f, -0.994879330794805620f,
+ 0.098017140329560770f, -0.995184726672196820f, 0.094963495329639061f, -0.995480755491926940f,
+ 0.091908956497132696f, -0.995767414467659820f, 0.088853552582524684f, -0.996044700901251970f,
+ 0.085797312344439880f, -0.996312612182778000f, 0.082740264549375803f, -0.996571145790554840f,
+ 0.079682437971430126f, -0.996820299291165670f, 0.076623861392031617f, -0.997060070339482960f,
+ 0.073564563599667454f, -0.997290456678690210f, 0.070504573389614009f, -0.997511456140303450f,
+ 0.067443919563664106f, -0.997723066644191640f, 0.064382630929857410f, -0.997925286198596000f,
+ 0.061320736302208648f, -0.998118112900149180f, 0.058258264500435732f, -0.998301544933892890f,
+ 0.055195244349690031f, -0.998475580573294770f, 0.052131704680283317f, -0.998640218180265270f,
+ 0.049067674327418126f, -0.998795456205172410f, 0.046003182130914644f, -0.998941293186856870f,
+ 0.042938256934940959f, -0.999077727752645360f, 0.039872927587739845f, -0.999204758618363890f,
+ 0.036807222941358991f, -0.999322384588349540f, 0.033741171851377642f, -0.999430604555461730f,
+ 0.030674803176636581f, -0.999529417501093140f, 0.027608145778965820f, -0.999618822495178640f,
+ 0.024541228522912264f, -0.999698818696204250f, 0.021474080275469605f, -0.999769405351215280f,
+ 0.018406729905804820f, -0.999830581795823400f, 0.015339206284988220f, -0.999882347454212560f,
+ 0.012271538285719944f, -0.999924701839144500f, 0.009203754782059960f, -0.999957644551963900f,
+ 0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f, -0.999995293809576190f
+};
+
+ const float32_t cos_factors_512[512] = {
+ 0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
+ 0.999942349676023910f,
+ 0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
+ 0.999735288260561680f,
+ 0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
+ 0.999377670388002850f,
+ 0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
+ 0.998869549914283560f,
+ 0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
+ 0.998211003360478190f,
+ 0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
+ 0.997402129901275300f,
+ 0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
+ 0.996443051350042630f,
+ 0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f,
+ 0.995333912140482280f,
+ 0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
+ 0.994074879304879370f,
+ 0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
+ 0.992666142448948020f,
+ 0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
+ 0.991107913723276890f,
+ 0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
+ 0.989400427791380380f,
+ 0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
+ 0.987543941794359230f,
+ 0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
+ 0.985538735312176060f,
+ 0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f,
+ 0.983385110321551180f,
+ 0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f,
+ 0.981083391150486710f,
+ 0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f,
+ 0.978633924429423210f,
+ 0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f,
+ 0.976037079039039020f,
+ 0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f,
+ 0.973293246054698250f,
+ 0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f,
+ 0.970402838687555500f,
+ 0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f,
+ 0.967366292222328510f,
+ 0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f,
+ 0.964184063951745830f,
+ 0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f,
+ 0.960856633107679660f,
+ 0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f,
+ 0.957384500788975860f,
+ 0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f,
+ 0.953768189885990330f,
+ 0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f,
+ 0.950008245001843000f,
+ 0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f,
+ 0.946105232370403450f,
+ 0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f,
+ 0.942059739771017310f,
+ 0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f,
+ 0.937872376439989890f,
+ 0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f,
+ 0.933543772978836170f,
+ 0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f,
+ 0.929074581259315860f,
+ 0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f,
+ 0.924465474325262600f,
+ 0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f,
+ 0.919717146291227360f,
+ 0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f,
+ 0.914830312237946200f,
+ 0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f,
+ 0.909805708104652220f,
+ 0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f,
+ 0.904644090578246240f,
+ 0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f,
+ 0.899346236979341570f,
+ 0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f,
+ 0.893912945145203250f,
+ 0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f,
+ 0.888345033309596350f,
+ 0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f,
+ 0.882643339979562790f,
+ 0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f,
+ 0.876808723809145650f,
+ 0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f,
+ 0.870842063470078980f,
+ 0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f,
+ 0.864744257519462380f,
+ 0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f,
+ 0.858516224264442740f,
+ 0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f,
+ 0.852158901623919830f,
+ 0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f,
+ 0.845673246987299070f,
+ 0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f,
+ 0.839060237070312740f,
+ 0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f,
+ 0.832320867767929680f,
+ 0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f,
+ 0.825456154004377550f,
+ 0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f,
+ 0.818467129580298660f,
+ 0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f,
+ 0.811354847017063730f,
+ 0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f,
+ 0.804120377398265810f,
+ 0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f,
+ 0.796764810208418830f,
+ 0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f,
+ 0.789289253168885650f,
+ 0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f,
+ 0.781694832071059390f,
+ 0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f,
+ 0.773982690606822900f,
+ 0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f,
+ 0.766153990196312920f,
+ 0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f,
+ 0.758209909813015280f,
+ 0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f,
+ 0.750151645806215070f,
+ 0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f,
+ 0.741980411720831070f,
+ 0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f,
+ 0.733697438114660370f,
+ 0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f,
+ 0.725303972373060770f,
+ 0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f,
+ 0.716801278521099540f,
+ 0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f,
+ 0.708190637033195400f,
+ 0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f,
+ 0.699473344640283770f,
+ 0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f,
+ 0.690650714134534720f,
+ 0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f,
+ 0.681724074171649820f,
+ 0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f,
+ 0.672694769070772970f,
+ 0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f,
+ 0.663564158612039880f,
+ 0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f,
+ 0.654333617831800550f,
+ 0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f,
+ 0.645004536815544040f,
+ 0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f,
+ 0.635578320488556230f,
+ 0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f,
+ 0.626056388404343520f,
+ 0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f,
+ 0.616440174530853650f,
+ 0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f,
+ 0.606731127034524480f,
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+ 0.596930708062196500f,
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+ 0.587040393520918080f,
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+ 0.577061672855679550f,
+ 0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f,
+ 0.566996048825108680f,
+ 0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f,
+ 0.556845037275160100f,
+ 0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f,
+ 0.546610166910834860f,
+ 0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f,
+ 0.536292979065963180f,
+ 0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f,
+ 0.525895027471084740f,
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+ 0.515417878019463150f,
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+ 0.504863108531267480f,
+ 0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f,
+ 0.494232308515959730f,
+ 0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f,
+ 0.483527078932918740f,
+ 0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f,
+ 0.472749031950342900f,
+ 0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f,
+ 0.461899790702462840f,
+ 0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f,
+ 0.450980989045103810f,
+ 0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f,
+ 0.439994271309633260f,
+ 0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f,
+ 0.428941292055329550f,
+ 0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f,
+ 0.417823715820212380f,
+ 0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f,
+ 0.406643216870369140f,
+ 0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f,
+ 0.395401478947816300f,
+ 0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f,
+ 0.384100195016935040f,
+ 0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f,
+ 0.372741067009515810f,
+ 0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f,
+ 0.361325805568454340f,
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+ 0.349856129790135030f,
+ 0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f,
+ 0.338333766965541290f,
+ 0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f,
+ 0.326760452320131790f,
+ 0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f,
+ 0.315137928752522440f,
+ 0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f,
+ 0.303467946572011370f,
+ 0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f,
+ 0.291752263234989370f,
+ 0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f,
+ 0.279992643080273380f,
+ 0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f,
+ 0.268190857063403180f,
+ 0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f,
+ 0.256348682489942910f,
+ 0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f,
+ 0.244467902747824210f,
+ 0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f,
+ 0.232550307038775330f,
+ 0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f,
+ 0.220597690108873650f,
+ 0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f,
+ 0.208611851978263460f,
+ 0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f,
+ 0.196594597670080220f,
+ 0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f,
+ 0.184547736938619640f,
+ 0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f,
+ 0.172473083996796030f,
+ 0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f,
+ 0.160372457242928400f,
+ 0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f,
+ 0.148247678986896200f,
+ 0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f,
+ 0.136100575175706200f,
+ 0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f,
+ 0.123932975118512200f,
+ 0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f,
+ 0.111746711211126660f,
+ 0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f,
+ 0.099543618660069444f,
+ 0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f,
+ 0.087325535206192226f,
+ 0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f,
+ 0.075094300847921291f,
+ 0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f,
+ 0.062851757564161420f,
+ 0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f,
+ 0.050599749036899337f,
+ 0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f,
+ 0.038340120373552791f,
+ 0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f,
+ 0.026074717829104040f,
+ 0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f,
+ 0.013805388528060349f,
+ 0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
+ 0.001533980186284766f
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
+ const float32_t Weights_2048[4096] = {
+ 1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f, -0.000766990318742704f,
+ 0.999998823451701880f, -0.001533980186284766f, 0.999997352766978210f, -0.002300969151425805f,
+ 0.999995293809576190f, -0.003067956762965976f, 0.999992646580707190f, -0.003834942569706228f,
+ 0.999989411081928400f, -0.004601926120448571f, 0.999985587315143200f, -0.005368906963996343f,
+ 0.999981175282601110f, -0.006135884649154475f, 0.999976174986897610f, -0.006902858724729756f,
+ 0.999970586430974140f, -0.007669828739531097f, 0.999964409618118280f, -0.008436794242369799f,
+ 0.999957644551963900f, -0.009203754782059819f, 0.999950291236490480f, -0.009970709907418031f,
+ 0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f, -0.011504602110422714f,
+ 0.999924701839144500f, -0.012271538285719925f, 0.999914995573113470f, -0.013038467241987334f,
+ 0.999904701082852900f, -0.013805388528060391f, 0.999893818374418490f, -0.014572301692779064f,
+ 0.999882347454212560f, -0.015339206284988100f, 0.999870288328982950f, -0.016106101853537287f,
+ 0.999857641005823860f, -0.016872987947281710f, 0.999844405492175240f, -0.017639864115082053f,
+ 0.999830581795823400f, -0.018406729905804820f, 0.999816169924900410f, -0.019173584868322623f,
+ 0.999801169887884260f, -0.019940428551514441f, 0.999785581693599210f, -0.020707260504265895f,
+ 0.999769405351215280f, -0.021474080275469508f, 0.999752640870248840f, -0.022240887414024961f,
+ 0.999735288260561680f, -0.023007681468839369f, 0.999717347532362190f, -0.023774461988827555f,
+ 0.999698818696204250f, -0.024541228522912288f, 0.999679701762987930f, -0.025307980620024571f,
+ 0.999659996743959220f, -0.026074717829103901f, 0.999639703650710200f, -0.026841439699098531f,
+ 0.999618822495178640f, -0.027608145778965740f, 0.999597353289648380f, -0.028374835617672099f,
+ 0.999575296046749220f, -0.029141508764193722f, 0.999552650779456990f, -0.029908164767516555f,
+ 0.999529417501093140f, -0.030674803176636626f, 0.999505596225325310f, -0.031441423540560301f,
+ 0.999481186966166950f, -0.032208025408304586f, 0.999456189737977340f, -0.032974608328897335f,
+ 0.999430604555461730f, -0.033741171851377580f, 0.999404431433671300f, -0.034507715524795750f,
+ 0.999377670388002850f, -0.035274238898213947f, 0.999350321434199440f, -0.036040741520706229f,
+ 0.999322384588349540f, -0.036807222941358832f, 0.999293859866887790f, -0.037573682709270494f,
+ 0.999264747286594420f, -0.038340120373552694f, 0.999235046864595850f, -0.039106535483329888f,
+ 0.999204758618363890f, -0.039872927587739811f, 0.999173882565716380f, -0.040639296235933736f,
+ 0.999142418724816910f, -0.041405640977076739f, 0.999110367114174890f, -0.042171961360347947f,
+ 0.999077727752645360f, -0.042938256934940820f, 0.999044500659429290f, -0.043704527250063421f,
+ 0.999010685854073380f, -0.044470771854938668f, 0.998976283356469820f, -0.045236990298804590f,
+ 0.998941293186856870f, -0.046003182130914623f, 0.998905715365818290f, -0.046769346900537863f,
+ 0.998869549914283560f, -0.047535484156959303f, 0.998832796853527990f, -0.048301593449480144f,
+ 0.998795456205172410f, -0.049067674327418015f, 0.998757527991183340f, -0.049833726340107277f,
+ 0.998719012233872940f, -0.050599749036899282f, 0.998679908955899090f, -0.051365741967162593f,
+ 0.998640218180265270f, -0.052131704680283324f, 0.998599939930320370f, -0.052897636725665324f,
+ 0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f, -0.054429407010919133f,
+ 0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f, -0.055961049218520569f,
+ 0.998389737407340160f, -0.056726821166907748f, 0.998345934821212370f, -0.057492559744367566f,
+ 0.998301544933892890f, -0.058258264500435752f, 0.998256567771495180f, -0.059023934984667931f,
+ 0.998211003360478190f, -0.059789570746639868f, 0.998164851727646240f, -0.060555171335947788f,
+ 0.998118112900149180f, -0.061320736302208578f, 0.998070786905482340f, -0.062086265195060088f,
+ 0.998022873771486240f, -0.062851757564161406f, 0.997974373526346990f, -0.063617212959193106f,
+ 0.997925286198596000f, -0.064382630929857465f, 0.997875611817110150f, -0.065148011025878833f,
+ 0.997825350411111640f, -0.065913352797003805f, 0.997774502010167820f, -0.066678655793001557f,
+ 0.997723066644191640f, -0.067443919563664051f, 0.997671044343441000f, -0.068209143658806329f,
+ 0.997618435138519550f, -0.068974327628266746f, 0.997565239060375750f, -0.069739471021907307f,
+ 0.997511456140303450f, -0.070504573389613856f, 0.997457086409941910f, -0.071269634281296401f,
+ 0.997402129901275300f, -0.072034653246889332f, 0.997346586646633230f, -0.072799629836351673f,
+ 0.997290456678690210f, -0.073564563599667426f, 0.997233740030466280f, -0.074329454086845756f,
+ 0.997176436735326190f, -0.075094300847921305f, 0.997118546826979980f, -0.075859103432954447f,
+ 0.997060070339482960f, -0.076623861392031492f, 0.997001007307235290f, -0.077388574275265049f,
+ 0.996941357764982160f, -0.078153241632794232f, 0.996881121747813850f, -0.078917863014784942f,
+ 0.996820299291165670f, -0.079682437971430126f, 0.996758890430818000f, -0.080446966052950014f,
+ 0.996696895202896060f, -0.081211446809592441f, 0.996634313643869900f, -0.081975879791633066f,
+ 0.996571145790554840f, -0.082740264549375692f, 0.996507391680110820f, -0.083504600633152432f,
+ 0.996443051350042630f, -0.084268887593324071f, 0.996378124838200210f, -0.085033124980280275f,
+ 0.996312612182778000f, -0.085797312344439894f, 0.996246513422315520f, -0.086561449236251170f,
+ 0.996179828595696980f, -0.087325535206192059f, 0.996112557742151130f, -0.088089569804770507f,
+ 0.996044700901251970f, -0.088853552582524600f, 0.995976258112917790f, -0.089617483090022959f,
+ 0.995907229417411720f, -0.090381360877864983f, 0.995837614855341610f, -0.091145185496681005f,
+ 0.995767414467659820f, -0.091908956497132724f, 0.995696628295663520f, -0.092672673429913310f,
+ 0.995625256380994310f, -0.093436335845747787f, 0.995553298765638470f, -0.094199943295393204f,
+ 0.995480755491926940f, -0.094963495329638992f, 0.995407626602534900f, -0.095726991499307162f,
+ 0.995333912140482280f, -0.096490431355252593f, 0.995259612149133390f, -0.097253814448363271f,
+ 0.995184726672196930f, -0.098017140329560604f, 0.995109255753726110f, -0.098780408549799623f,
+ 0.995033199438118630f, -0.099543618660069319f, 0.994956557770116380f, -0.100306770211392860f,
+ 0.994879330794805620f, -0.101069862754827820f, 0.994801518557617110f, -0.101832895841466530f,
+ 0.994723121104325700f, -0.102595869022436280f, 0.994644138481050710f, -0.103358781848899610f,
+ 0.994564570734255420f, -0.104121633872054590f, 0.994484417910747600f, -0.104884424643134970f,
+ 0.994403680057679100f, -0.105647153713410620f, 0.994322357222545810f, -0.106409820634187680f,
+ 0.994240449453187900f, -0.107172424956808840f, 0.994157956797789730f, -0.107934966232653650f,
+ 0.994074879304879370f, -0.108697444013138720f, 0.993991217023329380f, -0.109459857849717980f,
+ 0.993906970002356060f, -0.110222207293883060f, 0.993822138291519660f, -0.110984491897163390f,
+ 0.993736721940724600f, -0.111746711211126590f, 0.993650721000219120f, -0.112508864787378690f,
+ 0.993564135520595300f, -0.113270952177564350f, 0.993476965552789190f, -0.114032972933367200f,
+ 0.993389211148080650f, -0.114794926606510080f, 0.993300872358093280f, -0.115556812748755260f,
+ 0.993211949234794500f, -0.116318630911904750f, 0.993122441830495580f, -0.117080380647800590f,
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+ 0.088853552582524684f, -0.996044700901251970f, 0.088089569804770507f,
+ -0.996112557742151130f,
+ 0.087325535206192226f, -0.996179828595696870f, 0.086561449236251239f,
+ -0.996246513422315520f,
+ 0.085797312344439880f, -0.996312612182778000f, 0.085033124980280414f,
+ -0.996378124838200210f,
+ 0.084268887593324127f, -0.996443051350042630f, 0.083504600633152404f,
+ -0.996507391680110820f,
+ 0.082740264549375803f, -0.996571145790554840f, 0.081975879791633108f,
+ -0.996634313643869900f,
+ 0.081211446809592386f, -0.996696895202896060f, 0.080446966052950097f,
+ -0.996758890430818000f,
+ 0.079682437971430126f, -0.996820299291165670f, 0.078917863014785095f,
+ -0.996881121747813850f,
+ 0.078153241632794315f, -0.996941357764982160f, 0.077388574275265049f,
+ -0.997001007307235290f,
+ 0.076623861392031617f, -0.997060070339482960f, 0.075859103432954503f,
+ -0.997118546826979980f,
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+ -0.997233740030466160f,
+ 0.073564563599667454f, -0.997290456678690210f, 0.072799629836351618f,
+ -0.997346586646633230f,
+ 0.072034653246889416f, -0.997402129901275300f, 0.071269634281296415f,
+ -0.997457086409941910f,
+ 0.070504573389614009f, -0.997511456140303450f, 0.069739471021907376f,
+ -0.997565239060375750f,
+ 0.068974327628266732f, -0.997618435138519550f, 0.068209143658806454f,
+ -0.997671044343441000f,
+ 0.067443919563664106f, -0.997723066644191640f, 0.066678655793001543f,
+ -0.997774502010167820f,
+ 0.065913352797003930f, -0.997825350411111640f, 0.065148011025878860f,
+ -0.997875611817110150f,
+ 0.064382630929857410f, -0.997925286198596000f, 0.063617212959193190f,
+ -0.997974373526346990f,
+ 0.062851757564161420f, -0.998022873771486240f, 0.062086265195060247f,
+ -0.998070786905482340f,
+ 0.061320736302208648f, -0.998118112900149180f, 0.060555171335947781f,
+ -0.998164851727646240f,
+ 0.059789570746640007f, -0.998211003360478190f, 0.059023934984667986f,
+ -0.998256567771495180f,
+ 0.058258264500435732f, -0.998301544933892890f, 0.057492559744367684f,
+ -0.998345934821212370f,
+ 0.056726821166907783f, -0.998389737407340160f, 0.055961049218520520f,
+ -0.998432952666508440f,
+ 0.055195244349690031f, -0.998475580573294770f, 0.054429407010919147f,
+ -0.998517621102622210f,
+ 0.053663537652730679f, -0.998559074229759310f, 0.052897636725665401f,
+ -0.998599939930320370f,
+ 0.052131704680283317f, -0.998640218180265270f, 0.051365741967162731f,
+ -0.998679908955899090f,
+ 0.050599749036899337f, -0.998719012233872940f, 0.049833726340107257f,
+ -0.998757527991183340f,
+ 0.049067674327418126f, -0.998795456205172410f, 0.048301593449480172f,
+ -0.998832796853527990f,
+ 0.047535484156959261f, -0.998869549914283560f, 0.046769346900537960f,
+ -0.998905715365818290f,
+ 0.046003182130914644f, -0.998941293186856870f, 0.045236990298804750f,
+ -0.998976283356469820f,
+ 0.044470771854938744f, -0.999010685854073380f, 0.043704527250063421f,
+ -0.999044500659429290f,
+ 0.042938256934940959f, -0.999077727752645360f, 0.042171961360348002f,
+ -0.999110367114174890f,
+ 0.041405640977076712f, -0.999142418724816910f, 0.040639296235933854f,
+ -0.999173882565716380f,
+ 0.039872927587739845f, -0.999204758618363890f, 0.039106535483329839f,
+ -0.999235046864595850f,
+ 0.038340120373552791f, -0.999264747286594420f, 0.037573682709270514f,
+ -0.999293859866887790f,
+ 0.036807222941358991f, -0.999322384588349540f, 0.036040741520706299f,
+ -0.999350321434199440f,
+ 0.035274238898213947f, -0.999377670388002850f, 0.034507715524795889f,
+ -0.999404431433671300f,
+ 0.033741171851377642f, -0.999430604555461730f, 0.032974608328897315f,
+ -0.999456189737977340f,
+ 0.032208025408304704f, -0.999481186966166950f, 0.031441423540560343f,
+ -0.999505596225325310f,
+ 0.030674803176636581f, -0.999529417501093140f, 0.029908164767516655f,
+ -0.999552650779456990f,
+ 0.029141508764193740f, -0.999575296046749220f, 0.028374835617672258f,
+ -0.999597353289648380f,
+ 0.027608145778965820f, -0.999618822495178640f, 0.026841439699098527f,
+ -0.999639703650710200f,
+ 0.026074717829104040f, -0.999659996743959220f, 0.025307980620024630f,
+ -0.999679701762987930f,
+ 0.024541228522912264f, -0.999698818696204250f, 0.023774461988827676f,
+ -0.999717347532362190f,
+ 0.023007681468839410f, -0.999735288260561680f, 0.022240887414024919f,
+ -0.999752640870248840f,
+ 0.021474080275469605f, -0.999769405351215280f, 0.020707260504265912f,
+ -0.999785581693599210f,
+ 0.019940428551514598f, -0.999801169887884260f, 0.019173584868322699f,
+ -0.999816169924900410f,
+ 0.018406729905804820f, -0.999830581795823400f, 0.017639864115082195f,
+ -0.999844405492175240f,
+ 0.016872987947281773f, -0.999857641005823860f, 0.016106101853537263f,
+ -0.999870288328982950f,
+ 0.015339206284988220f, -0.999882347454212560f, 0.014572301692779104f,
+ -0.999893818374418490f,
+ 0.013805388528060349f, -0.999904701082852900f, 0.013038467241987433f,
+ -0.999914995573113470f,
+ 0.012271538285719944f, -0.999924701839144500f, 0.011504602110422875f,
+ -0.999933819875236000f,
+ 0.010737659167264572f, -0.999942349676023910f, 0.009970709907418029f,
+ -0.999950291236490480f,
+ 0.009203754782059960f, -0.999957644551963900f, 0.008436794242369860f,
+ -0.999964409618118280f,
+ 0.007669828739531077f, -0.999970586430974140f, 0.006902858724729877f,
+ -0.999976174986897610f,
+ 0.006135884649154515f, -0.999981175282601110f, 0.005368906963996303f,
+ -0.999985587315143200f,
+ 0.004601926120448672f, -0.999989411081928400f, 0.003834942569706248f,
+ -0.999992646580707190f,
+ 0.003067956762966138f, -0.999995293809576190f, 0.002300969151425887f,
+ -0.999997352766978210f,
+ 0.001533980186284766f, -0.999998823451701880f, 0.000766990318742846f,
+ -0.999999705862882230f
+};
+ const float32_t cos_factors_2048[2048] = {
+ 0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f,
+ 0.999996396822294350f,
+ 0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
+ 0.999983454831937730f,
+ 0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
+ 0.999961100616462820f,
+ 0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
+ 0.999929334386276070f,
+ 0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
+ 0.999888156440373320f,
+ 0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f,
+ 0.999837567166337090f,
+ 0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f,
+ 0.999777567040332940f,
+ 0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
+ 0.999708156627104880f,
+ 0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
+ 0.999629336579970110f,
+ 0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f,
+ 0.999541107640812940f,
+ 0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
+ 0.999443470640077770f,
+ 0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
+ 0.999336426496761240f,
+ 0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
+ 0.999219976218403530f,
+ 0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f,
+ 0.999094120901079070f,
+ 0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f,
+ 0.998958861729386080f,
+ 0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f,
+ 0.998814199976435390f,
+ 0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f,
+ 0.998660137003838490f,
+ 0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
+ 0.998496674261694640f,
+ 0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f,
+ 0.998323813288577560f,
+ 0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f,
+ 0.998141555711520520f,
+ 0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f,
+ 0.997949903246001190f,
+ 0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f,
+ 0.997748857695925690f,
+ 0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f,
+ 0.997538420953611340f,
+ 0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f,
+ 0.997318594999768600f,
+ 0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f,
+ 0.997089381903483400f,
+ 0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f,
+ 0.996850783822196610f,
+ 0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f,
+ 0.996602803001684130f,
+ 0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f,
+ 0.996345441776035900f,
+ 0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f,
+ 0.996078702567633980f,
+ 0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f,
+ 0.995802587887129160f,
+ 0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f,
+ 0.995517100333418110f,
+ 0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f,
+ 0.995222242593618360f,
+ 0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f,
+ 0.994918017443043200f,
+ 0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f,
+ 0.994604427745175660f,
+ 0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f,
+ 0.994281476451641550f,
+ 0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f,
+ 0.993949166602181130f,
+ 0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f,
+ 0.993607501324621610f,
+ 0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f,
+ 0.993256483834846440f,
+ 0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f,
+ 0.992896117436765980f,
+ 0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f,
+ 0.992526405522286100f,
+ 0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f,
+ 0.992147351571276090f,
+ 0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f,
+ 0.991758959151536110f,
+ 0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f,
+ 0.991361231918763460f,
+ 0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f,
+ 0.990954173616518500f,
+ 0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f,
+ 0.990537788076188750f,
+ 0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f,
+ 0.990112079216953770f,
+ 0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f,
+ 0.989677051045747210f,
+ 0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f,
+ 0.989232707657220050f,
+ 0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f,
+ 0.988779053233701520f,
+ 0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f,
+ 0.988316092045159690f,
+ 0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f,
+ 0.987843828449161740f,
+ 0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f,
+ 0.987362266890832400f,
+ 0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f,
+ 0.986871411902812470f,
+ 0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f,
+ 0.986371268105216030f,
+ 0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f,
+ 0.985861840205586980f,
+ 0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f,
+ 0.985343132998854790f,
+ 0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f,
+ 0.984815151367289140f,
+ 0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f,
+ 0.984277900280454370f,
+ 0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f,
+ 0.983731384795162090f,
+ 0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f,
+ 0.983175610055424420f,
+ 0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f,
+ 0.982610581292404750f,
+ 0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f,
+ 0.982036303824369020f,
+ 0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f,
+ 0.981452783056635520f,
+ 0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f,
+ 0.980860024481523870f,
+ 0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f,
+ 0.980258033678303550f,
+ 0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f,
+ 0.979646816313141210f,
+ 0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f,
+ 0.979026378139047580f,
+ 0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f,
+ 0.978396724995823090f,
+ 0.978237872563701090f, 0.978078444659442380f, 0.977918441376834370f,
+ 0.977757862810002760f,
+ 0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f,
+ 0.977109797594800880f,
+ 0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f,
+ 0.976452535450054060f,
+ 0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f,
+ 0.975786082562163930f,
+ 0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f,
+ 0.975110445204038890f,
+ 0.974940101534371830f, 0.974769184332561770f, 0.974597693699155050f,
+ 0.974425629735034990f,
+ 0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f,
+ 0.973731642600896400f,
+ 0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f,
+ 0.973028490333694210f,
+ 0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f,
+ 0.972316179551765300f,
+ 0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f,
+ 0.971594716959650160f,
+ 0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f,
+ 0.970864109348029470f,
+ 0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f,
+ 0.970124363593660280f,
+ 0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f,
+ 0.969375486659311280f,
+ 0.969186841502985950f, 0.968997626199012420f, 0.968807840858700970f,
+ 0.968617485593697540f,
+ 0.968426560515983190f, 0.968235065737874320f, 0.968043001372022260f,
+ 0.967850367531413620f,
+ 0.967657164329369880f, 0.967463391879547550f, 0.967269050295937790f,
+ 0.967074139692867040f,
+ 0.966878660184995910f, 0.966682611887320080f, 0.966485994915169840f,
+ 0.966288809384209690f,
+ 0.966091055410438830f, 0.965892733110190860f, 0.965693842600133690f,
+ 0.965494383997269500f,
+ 0.965294357418934660f, 0.965093762982799590f, 0.964892600806868890f,
+ 0.964690871009481030f,
+ 0.964488573709308410f, 0.964285709025357480f, 0.964082277076968140f,
+ 0.963878277983814200f,
+ 0.963673711865903230f, 0.963468578843575950f, 0.963262879037507070f,
+ 0.963056612568704340f,
+ 0.962849779558509030f, 0.962642380128595710f, 0.962434414400972100f,
+ 0.962225882497979020f,
+ 0.962016784542290560f, 0.961807120656913540f, 0.961596890965187860f,
+ 0.961386095590786250f,
+ 0.961174734657714080f, 0.960962808290309780f, 0.960750316613243950f,
+ 0.960537259751520050f,
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+ 0.340137538973531880f,
+ 0.339416179869623410f, 0.338694621095921190f, 0.337972863076899830f,
+ 0.337250906237150650f,
+ 0.336528751001382350f, 0.335806397794420560f, 0.335083847041206580f,
+ 0.334361099166798900f,
+ 0.333638154596370920f, 0.332915013755212650f, 0.332191677068729320f,
+ 0.331468144962440920f,
+ 0.330744417861982890f, 0.330020496193105530f, 0.329296380381672800f,
+ 0.328572070853663690f,
+ 0.327847568035170960f, 0.327122872352400510f, 0.326397984231672660f,
+ 0.325672904099419900f,
+ 0.324947632382188430f, 0.324222169506637130f, 0.323496515899536760f,
+ 0.322770671987770710f,
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+ 0.319865401835630610f,
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+ 0.316957120988508150f,
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+ 0.314045856820250820f,
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+ 0.311131636732785270f,
+ 0.310402623062358880f, 0.309673426790066490f, 0.308944048344875710f,
+ 0.308214488155861220f,
+ 0.307484746652204160f, 0.306754824263192780f, 0.306024721418221900f,
+ 0.305294438546791720f,
+ 0.304563976078509050f, 0.303833334443086470f, 0.303102514070341060f,
+ 0.302371515390196130f,
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+ 0.299445746197739950f,
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+ 0.296517158507877410f,
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+ 0.264124575123527490f,
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+ 0.261164322860466590f,
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+ 0.234414785556295250f,
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+ 0.153176166043917870f,
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+ 0.150143693675208330f,
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+ 0.147109808096871850f,
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+ 0.144074537864995330f,
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+ 0.141037911548697770f,
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+ 0.137999957729862760f,
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+ 0.134960705002868830f,
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+ 0.131920181974319760f,
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+ 0.128878417262776660f,
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+ 0.125835439498487020f,
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+ 0.122791277323116900f,
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+ 0.119745959389479630f,
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+ 0.116699514361267840f,
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+ 0.113651970912781920f,
+ 0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f,
+ 0.110603357728661910f,
+ 0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f,
+ 0.107553703503615710f,
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+ 0.104503036942150550f,
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+ 0.101451386758302160f,
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+ 0.098398781675363881f,
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+ 0.095345250425617742f,
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+ 0.092290821750062355f,
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+ 0.086179387127484922f,
+ 0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f,
+ 0.083122438703613077f,
+ 0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f,
+ 0.080064707899690932f,
+ 0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f,
+ 0.077006223496245585f,
+ 0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f,
+ 0.073947014280897269f,
+ 0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f,
+ 0.070887109048087787f,
+ 0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
+ 0.067826536598810966f,
+ 0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f,
+ 0.064765325740339871f,
+ 0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f,
+ 0.061703505285957416f,
+ 0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f,
+ 0.058641104054683348f,
+ 0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f,
+ 0.055578150871004817f,
+ 0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f,
+ 0.052514674564603257f,
+ 0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f,
+ 0.049450703970084824f,
+ 0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f,
+ 0.046386267926707213f,
+ 0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f,
+ 0.043321395278109784f,
+ 0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f,
+ 0.040256114872041358f,
+ 0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
+ 0.037190455560088091f,
+ 0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
+ 0.034124446197403423f,
+ 0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
+ 0.031058115642434700f,
+ 0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
+ 0.027991492756653365f,
+ 0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
+ 0.024924606404281485f,
+ 0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
+ 0.021857485452021874f,
+ 0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
+ 0.018790158768784596f,
+ 0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
+ 0.015722655225417017f,
+ 0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
+ 0.012655003694430301f,
+ 0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
+ 0.009587233049729183f,
+ 0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
+ 0.006519372166339549f,
+ 0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
+ 0.003451449920135975f,
+ 0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
+ 0.000383495187571497f
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
+ const float32_t Weights_8192[16384] = {
+ 1.000000000000000000f, -0.000000000000000000f, 0.999999981616429330f,
+ -0.000191747597310703f,
+ 0.999999926465717890f, -0.000383495187571396f, 0.999999834547867670f,
+ -0.000575242763732066f,
+ 0.999999705862882230f, -0.000766990318742704f, 0.999999540410766110f,
+ -0.000958737845553301f,
+ 0.999999338191525530f, -0.001150485337113849f, 0.999999099205167830f,
+ -0.001342232786374338f,
+ 0.999998823451701880f, -0.001533980186284766f, 0.999998510931137790f,
+ -0.001725727529795126f,
+ 0.999998161643486980f, -0.001917474809855419f, 0.999997775588762350f,
+ -0.002109222019415644f,
+ 0.999997352766978210f, -0.002300969151425805f, 0.999996893178149880f,
+ -0.002492716198835908f,
+ 0.999996396822294350f, -0.002684463154595962f, 0.999995863699429940f,
+ -0.002876210011655979f,
+ 0.999995293809576190f, -0.003067956762965976f, 0.999994687152754080f,
+ -0.003259703401475973f,
+ 0.999994043728985820f, -0.003451449920135994f, 0.999993363538295150f,
+ -0.003643196311896068f,
+ 0.999992646580707190f, -0.003834942569706228f, 0.999991892856248010f,
+ -0.004026688686516512f,
+ 0.999991102364945590f, -0.004218434655276963f, 0.999990275106828920f,
+ -0.004410180468937631f,
+ 0.999989411081928400f, -0.004601926120448571f, 0.999988510290275690f,
+ -0.004793671602759841f,
+ 0.999987572731904080f, -0.004985416908821511f, 0.999986598406848000f,
+ -0.005177162031583651f,
+ 0.999985587315143200f, -0.005368906963996343f, 0.999984539456826970f,
+ -0.005560651699009674f,
+ 0.999983454831937730f, -0.005752396229573736f, 0.999982333440515350f,
+ -0.005944140548638633f,
+ 0.999981175282601110f, -0.006135884649154475f, 0.999979980358237650f,
+ -0.006327628524071378f,
+ 0.999978748667468830f, -0.006519372166339468f, 0.999977480210339940f,
+ -0.006711115568908879f,
+ 0.999976174986897610f, -0.006902858724729756f, 0.999974832997189810f,
+ -0.007094601626752250f,
+ 0.999973454241265940f, -0.007286344267926521f, 0.999972038719176730f,
+ -0.007478086641202744f,
+ 0.999970586430974140f, -0.007669828739531097f, 0.999969097376711580f,
+ -0.007861570555861772f,
+ 0.999967571556443780f, -0.008053312083144972f, 0.999966008970226920f,
+ -0.008245053314330906f,
+ 0.999964409618118280f, -0.008436794242369799f, 0.999962773500176930f,
+ -0.008628534860211886f,
+ 0.999961100616462820f, -0.008820275160807412f, 0.999959390967037450f,
+ -0.009012015137106633f,
+ 0.999957644551963900f, -0.009203754782059819f, 0.999955861371306100f,
+ -0.009395494088617252f,
+ 0.999954041425129780f, -0.009587233049729225f, 0.999952184713501780f,
+ -0.009778971658346044f,
+ 0.999950291236490480f, -0.009970709907418031f, 0.999948360994165400f,
+ -0.010162447789895513f,
+ 0.999946393986597460f, -0.010354185298728842f, 0.999944390213859060f,
+ -0.010545922426868378f,
+ 0.999942349676023910f, -0.010737659167264491f, 0.999940272373166960f,
+ -0.010929395512867571f,
+ 0.999938158305364590f, -0.011121131456628021f, 0.999936007472694620f,
+ -0.011312866991496258f,
+ 0.999933819875236000f, -0.011504602110422714f, 0.999931595513069200f,
+ -0.011696336806357838f,
+ 0.999929334386276070f, -0.011888071072252092f, 0.999927036494939640f,
+ -0.012079804901055957f,
+ 0.999924701839144500f, -0.012271538285719925f, 0.999922330418976490f,
+ -0.012463271219194511f,
+ 0.999919922234522750f, -0.012655003694430242f, 0.999917477285871770f,
+ -0.012846735704377662f,
+ 0.999914995573113470f, -0.013038467241987334f, 0.999912477096339240f,
+ -0.013230198300209835f,
+ 0.999909921855641540f, -0.013421928871995765f, 0.999907329851114300f,
+ -0.013613658950295740f,
+ 0.999904701082852900f, -0.013805388528060391f, 0.999902035550953920f,
+ -0.013997117598240367f,
+ 0.999899333255515390f, -0.014188846153786345f, 0.999896594196636680f,
+ -0.014380574187649006f,
+ 0.999893818374418490f, -0.014572301692779064f, 0.999891005788962950f,
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+ -0.999974832997189810f,
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+ -0.999977480210339940f,
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+ -0.999979980358237650f,
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+ -0.999984539456826970f,
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+ -0.999986598406848000f,
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+ -0.999988510290275690f,
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+ -0.999990275106828920f,
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+ -0.999991892856248010f,
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+ -0.999993363538295150f,
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+ -0.999994687152754080f,
+ 0.003067956762966138f, -0.999995293809576190f, 0.002876210011656010f,
+ -0.999995863699429940f,
+ 0.002684463154596083f, -0.999996396822294350f, 0.002492716198835898f,
+ -0.999996893178149880f,
+ 0.002300969151425887f, -0.999997352766978210f, 0.002109222019415816f,
+ -0.999997775588762350f,
+ 0.001917474809855460f, -0.999998161643486980f, 0.001725727529795258f,
+ -0.999998510931137790f,
+ 0.001533980186284766f, -0.999998823451701880f, 0.001342232786374430f,
+ -0.999999099205167830f,
+ 0.001150485337113809f, -0.999999338191525530f, 0.000958737845553352f,
+ -0.999999540410766110f,
+ 0.000766990318742846f, -0.999999705862882230f, 0.000575242763732077f,
+ -0.999999834547867670f,
+ 0.000383495187571497f, -0.999999926465717890f, 0.000191747597310674f,
+ -0.999999981616429330f
+};
+
+ const float32_t cos_factors_8192[8192] = {
+ 1.999999990808214700f, 1.999999917273932200f, 1.999999770205369800f,
+ 1.999999549602533100f,
+ 1.999999255465430200f, 1.999998887794072000f, 1.999998446588471700f,
+ 1.999997931848645600f,
+ 1.999997343574612800f, 1.999996681766395000f, 1.999995946424016200f,
+ 1.999995137547503600f,
+ 1.999994255136887000f, 1.999993299192198700f, 1.999992269713474200f,
+ 1.999991166700750800f,
+ 1.999989990154069600f, 1.999988740073473500f, 1.999987416459008600f,
+ 1.999986019310723500f,
+ 1.999984548628669600f, 1.999983004412901000f, 1.999981386663474400f,
+ 1.999979695380449400f,
+ 1.999977930563888100f, 1.999976092213855400f, 1.999974180330418700f,
+ 1.999972194913648900f,
+ 1.999970135963618400f, 1.999968003480403000f, 1.999965797464081200f,
+ 1.999963517914734100f,
+ 1.999961164832445800f, 1.999958738217302300f, 1.999956238069392900f,
+ 1.999953664388809800f,
+ 1.999951017175647600f, 1.999948296430003500f, 1.999945502151977600f,
+ 1.999942634341672600f,
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+ 1.999930427779810900f,
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+ 1.999917044710405500f,
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+ 1.999902485141329400f,
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+ 1.999886749081147800f,
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+ 1.999851747525188200f,
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+ 1.999832482050000900f,
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+ 1.999812040124888700f,
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+ 1.999664683847668800f,
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+ 1.999606154115092500f,
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+ 1.999575124764850800f,
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+ 1.999474978999432800f,
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+ 1.999364247081633500f,
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+ 1.999324984063775700f,
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+ 1.999284544894541100f,
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+ 1.999242929597719200f,
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+ 1.999200138197791100f,
+ 1.999189256584633600f, 1.999178301467001900f, 1.999167272845298900f,
+ 1.999156170719930100f,
+ 1.999144995091303600f, 1.999133745959830600f, 1.999122423325924200f,
+ 1.999111027190001000f,
+ 1.999099557552479900f, 1.999088014413782800f, 1.999076397774334000f,
+ 1.999064707634560700f,
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+ 1.999017212080857400f,
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+ 1.998968540556831800f,
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+ 1.998707544408208700f,
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+ 1.998651817687737300f,
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+ 1.998594915211895600f,
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+ 1.998536837014157900f,
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+ 1.998477583128690100f,
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+ 1.998417153590349900f,
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+ 1.998355548434686400f,
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+ 1.998292767697940100f,
+ 1.998276888833522300f, 1.998260936498175400f, 1.998244910692486000f,
+ 1.998228811417043700f,
+ 1.998212638672439900f, 1.998196392459269400f, 1.998180072778129600f,
+ 1.998163679629620500f,
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+ 1.998097372373986300f,
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+ 1.998029889689147700f,
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+ 1.997961231614803200f,
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+ 1.997891398191342400f,
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+ 1.997820389459846700f,
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+ 1.997748205462088500f,
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+ 1.997290423310406100f,
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+ 1.997210013676516700f,
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+ 0.208052561419360520f, 0.207671143034492080f, 0.207289717014149830f,
+ 0.206908283372357230f,
+ 0.206526842123138070f, 0.206145393280517730f, 0.205763936858520150f,
+ 0.205382472871171230f,
+ 0.205001001332495910f, 0.204619522256519300f, 0.204238035657268250f,
+ 0.203856541548768030f,
+ 0.203475039945045950f, 0.203093530860128300f, 0.202712014308041620f,
+ 0.202330490302814110f,
+ 0.201948958858472420f, 0.201567419989045200f, 0.201185873708560170f,
+ 0.200804320031045230f,
+ 0.200422758970529910f, 0.200041190541042220f, 0.199659614756612230f,
+ 0.199278031631268500f,
+ 0.198896441179041650f, 0.198514843413961220f, 0.198133238350057030f,
+ 0.197751626001360480f,
+ 0.197370006381901520f, 0.196988379505712050f, 0.196606745386822960f,
+ 0.196225104039265410f,
+ 0.195843455477072190f, 0.195461799714274460f, 0.195080136764905570f,
+ 0.194698466642997730f,
+ 0.194316789362583340f, 0.193935104937696560f, 0.193553413382369890f,
+ 0.193171714710637930f,
+ 0.192790008936534220f, 0.192408296074092570f, 0.192026576137348330f,
+ 0.191644849140335360f,
+ 0.191263115097089540f, 0.190881374021645320f, 0.190499625928039040f,
+ 0.190117870830306100f,
+ 0.189736108742482030f, 0.189354339678604100f, 0.188972563652707950f,
+ 0.188590780678831250f,
+ 0.188208990771010640f, 0.187827193943283040f, 0.187445390209686870f,
+ 0.187063579584259070f,
+ 0.186681762081038650f, 0.186299937714063470f, 0.185918106497371700f,
+ 0.185536268445003070f,
+ 0.185154423570995760f, 0.184772571889390000f, 0.184390713414225000f,
+ 0.184008848159540110f,
+ 0.183626976139376310f, 0.183245097367773090f, 0.182863211858771880f,
+ 0.182481319626412670f,
+ 0.182099420684737420f, 0.181717515047787020f, 0.181335602729602590f,
+ 0.180953683744226880f,
+ 0.180571758105701030f, 0.180189825828068250f, 0.179807886925370670f,
+ 0.179425941411650660f,
+ 0.179043989300952110f, 0.178662030607317450f, 0.178280065344791100f,
+ 0.177898093527416370f,
+ 0.177516115169236820f, 0.177134130284297610f, 0.176752138886642350f,
+ 0.176370140990316640f,
+ 0.175988136609365020f, 0.175606125757832240f, 0.175224108449764660f,
+ 0.174842084699207030f,
+ 0.174460054520206240f, 0.174078017926807490f, 0.173695974933058080f,
+ 0.173313925553004180f,
+ 0.172931869800692250f, 0.172549807690170230f, 0.172167739235484620f,
+ 0.171785664450683800f,
+ 0.171403583349815180f, 0.171021495946926340f, 0.170639402256066410f,
+ 0.170257302291283000f,
+ 0.169875196066625710f, 0.169493083596143100f, 0.169110964893883830f,
+ 0.168728839973898290f,
+ 0.168346708850235140f, 0.167964571536945220f, 0.167582428048078130f,
+ 0.167200278397683750f,
+ 0.166818122599813570f, 0.166435960668517400f, 0.166053792617847200f,
+ 0.165671618461853270f,
+ 0.165289438214587970f, 0.164907251890102520f, 0.164525059502448390f,
+ 0.164142861065678550f,
+ 0.163760656593844480f, 0.163378446100999640f, 0.162996229601196390f,
+ 0.162614007108487250f,
+ 0.162231778636926370f, 0.161849544200566300f, 0.161467303813461580f,
+ 0.161085057489665670f,
+ 0.160702805243232240f, 0.160320547088216470f, 0.159938283038672050f,
+ 0.159556013108654580f,
+ 0.159173737312218650f, 0.158791455663418930f, 0.158409168176311760f,
+ 0.158026874864951870f,
+ 0.157644575743395960f, 0.157262270825699210f, 0.156879960125918730f,
+ 0.156497643658110590f,
+ 0.156115321436331000f, 0.155732993474637760f, 0.155350659787087090f,
+ 0.154968320387737170f,
+ 0.154585975290645110f, 0.154203624509868190f, 0.153821268059465250f,
+ 0.153438905953493550f,
+ 0.153056538206012340f, 0.152674164831079730f, 0.152291785842754070f,
+ 0.151909401255095250f,
+ 0.151527011082161540f, 0.151144615338013210f, 0.150762214036709470f,
+ 0.150379807192309620f,
+ 0.149997394818874590f, 0.149614976930463660f, 0.149232553541138180f,
+ 0.148850124664957870f,
+ 0.148467690315984390f, 0.148085250508278370f, 0.147702805255900570f,
+ 0.147320354572913260f,
+ 0.146937898473377210f, 0.146555436971355090f, 0.146172970080908520f,
+ 0.145790497816099230f,
+ 0.145408020190990560f, 0.145025537219644170f, 0.144643048916123810f,
+ 0.144260555294492000f,
+ 0.143878056368811510f, 0.143495552153146630f, 0.143113042661560050f,
+ 0.142730527908116440f,
+ 0.142348007906879320f, 0.141965482671912420f, 0.141582952217280980f,
+ 0.141200416557048680f,
+ 0.140817875705281120f, 0.140435329676042390f, 0.140052778483398480f,
+ 0.139670222141414250f,
+ 0.139287660664154770f, 0.138905094065686600f, 0.138522522360074780f,
+ 0.138139945561386200f,
+ 0.137757363683686740f, 0.137374776741042340f, 0.136992184747520560f,
+ 0.136609587717187310f,
+ 0.136226985664110460f, 0.135844378602356760f, 0.135461766545993150f,
+ 0.135079149509088060f,
+ 0.134696527505708320f, 0.134313900549922760f, 0.133931268655799020f,
+ 0.133548631837404950f,
+ 0.133165990108809860f, 0.132783343484081580f, 0.132400691977289760f,
+ 0.132018035602502530f,
+ 0.131635374373789940f, 0.131252708305220960f, 0.130870037410864640f,
+ 0.130487361704791580f,
+ 0.130104681201070800f, 0.129721995913773260f, 0.129339305856968730f,
+ 0.128956611044727220f,
+ 0.128573911491120210f, 0.128191207210217570f, 0.127808498216091110f,
+ 0.127425784522811530f,
+ 0.127043066144449680f, 0.126660343095077900f, 0.126277615388766920f,
+ 0.125894883039589430f,
+ 0.125512146061616980f, 0.125129404468921260f, 0.124746658275575490f,
+ 0.124363907495651240f,
+ 0.123981152143222060f, 0.123598392232359880f, 0.123215627777138580f,
+ 0.122832858791630880f,
+ 0.122450085289909640f, 0.122067307286049230f, 0.121684524794122440f,
+ 0.121301737828203960f,
+ 0.120918946402367330f, 0.120536150530686250f, 0.120153350227235940f,
+ 0.119770545506089950f,
+ 0.119387736381323830f, 0.119004922867011920f, 0.118622104977228730f,
+ 0.118239282726050290f,
+ 0.117856456127550970f, 0.117473625195807100f, 0.117090789944893860f,
+ 0.116707950388886520f,
+ 0.116325106541861910f, 0.115942258417895240f, 0.115559406031063570f,
+ 0.115176549395442460f,
+ 0.114793688525109290f, 0.114410823434140360f, 0.114027954136612060f,
+ 0.113645080646602280f,
+ 0.113262202978187320f, 0.112879321145445350f, 0.112496435162453430f,
+ 0.112113545043288730f,
+ 0.111730650802029900f, 0.111347752452754000f, 0.110964850009539970f,
+ 0.110581943486465610f,
+ 0.110199032897608850f, 0.109816118257049110f, 0.109433199578864170f,
+ 0.109050276877133770f,
+ 0.108667350165936400f, 0.108284419459350770f, 0.107901484771457020f,
+ 0.107518546116333660f,
+ 0.107135603508061170f, 0.106752656960718350f, 0.106369706488385940f,
+ 0.105986752105143480f,
+ 0.105603793825070680f, 0.105220831662248700f, 0.104837865630757090f,
+ 0.104454895744677270f,
+ 0.104071922018089540f, 0.103688944465074300f, 0.103305963099713400f,
+ 0.102922977936087120f,
+ 0.102539988988277600f, 0.102156996270365800f, 0.101773999796432830f,
+ 0.101390999580561250f,
+ 0.101007995636832020f, 0.100624987979327970f, 0.100241976622130760f,
+ 0.099858961579322170f,
+ 0.099475942864985456f, 0.099092920493202258f, 0.098709894478056073f,
+ 0.098326864833628791f,
+ 0.097943831574004214f, 0.097560794713264939f, 0.097177754265493674f,
+ 0.096794710244774623f,
+ 0.096411662665190329f, 0.096028611540825232f, 0.095645556885762609f,
+ 0.095262498714085819f,
+ 0.094879437039879722f, 0.094496371877227495f, 0.094113303240214247f,
+ 0.093730231142923864f,
+ 0.093347155599440373f, 0.092964076623849271f, 0.092580994230234359f,
+ 0.092197908432681386f,
+ 0.091814819245274432f, 0.091431726682099479f, 0.091048630757241303f,
+ 0.090665531484784803f,
+ 0.090282428878816323f, 0.089899322953420582f, 0.089516213722684160f,
+ 0.089133101200692441f,
+ 0.088749985401530951f, 0.088366866339286629f, 0.087983744028044805f,
+ 0.087600618481892656f,
+ 0.087217489714916191f, 0.086834357741201490f, 0.086451222574836131f,
+ 0.086068084229906014f,
+ 0.085684942720498897f, 0.085301798060701386f, 0.084918650264600160f,
+ 0.084535499346283349f,
+ 0.084152345319837438f, 0.083769188199350780f, 0.083386027998910095f,
+ 0.083002864732603973f,
+ 0.082619698414519799f, 0.082236529058745025f, 0.081853356679368619f,
+ 0.081470181290477811f,
+ 0.081087002906161790f, 0.080703821540508452f, 0.080320637207605849f,
+ 0.079937449921543474f,
+ 0.079554259696409127f, 0.079171066546292510f, 0.078787870485282088f,
+ 0.078404671527466441f,
+ 0.078021469686935602f, 0.077638264977777913f, 0.077255057414083589f,
+ 0.076871847009941652f,
+ 0.076488633779441206f, 0.076105417736672773f, 0.075722198895725248f,
+ 0.075338977270689375f,
+ 0.074955752875654230f, 0.074572525724710764f, 0.074189295831948693f,
+ 0.073806063211457842f,
+ 0.073422827877329483f, 0.073039589843653177f, 0.072656349124520389f,
+ 0.072273105734021334f,
+ 0.071889859686246352f, 0.071506610995287156f, 0.071123359675233852f,
+ 0.070740105740178361f,
+ 0.070356849204211397f, 0.069973590081423773f, 0.069590328385907715f,
+ 0.069207064131753759f,
+ 0.068823797333054326f, 0.068440528003900616f, 0.068057256158383886f,
+ 0.067673981810596848f,
+ 0.067290704974630494f, 0.066907425664577733f, 0.066524143894529736f,
+ 0.066140859678579578f,
+ 0.065757573030819083f, 0.065374283965340146f, 0.064990992496236119f,
+ 0.064607698637598646f,
+ 0.064224402403521202f, 0.063841103808096086f, 0.063457802865415636f,
+ 0.063074499589573618f,
+ 0.062691193994662109f, 0.062307886094775049f, 0.061924575904005130f,
+ 0.061541263436445129f,
+ 0.061157948706189229f, 0.060774631727329942f, 0.060391312513961619f,
+ 0.060007991080177375f,
+ 0.059624667440070382f, 0.059241341607735261f, 0.058858013597264912f,
+ 0.058474683422754095f,
+ 0.058091351098295878f, 0.057708016637985186f, 0.057324680055915692f,
+ 0.056941341366181127f,
+ 0.056558000582876661f, 0.056174657720095743f, 0.055791312791933681f,
+ 0.055407965812484541f,
+ 0.055024616795842439f, 0.054641265756102911f, 0.054257912707359794f,
+ 0.053874557663708772f,
+ 0.053491200639244271f, 0.053107841648060788f, 0.052724480704254229f,
+ 0.052341117821918783f,
+ 0.051957753015150501f, 0.051574386298044173f, 0.051191017684694640f,
+ 0.050807647189198162f,
+ 0.050424274825649297f, 0.050040900608144430f, 0.049657524550778251f,
+ 0.049274146667647289f,
+ 0.048890766972846805f, 0.048507385480472134f, 0.048124002204620014f,
+ 0.047740617159385448f,
+ 0.047357230358865306f, 0.046973841817155179f, 0.046590451548350717f,
+ 0.046207059566548990f,
+ 0.045823665885845313f, 0.045440270520336883f, 0.045056873484119603f,
+ 0.044673474791289434f,
+ 0.044290074455943754f, 0.043906672492178188f, 0.043523268914090238f,
+ 0.043139863735776100f,
+ 0.042756456971332048f, 0.042373048634855741f, 0.041989638740443119f,
+ 0.041606227302191955f,
+ 0.041222814334198304f, 0.040839399850560058f, 0.040455983865373815f,
+ 0.040072566392736257f,
+ 0.039689147446745419f, 0.039305727041497644f, 0.038922305191091085f,
+ 0.038538881909622631f,
+ 0.038155457211189216f, 0.037772031109889144f, 0.037388603619819022f,
+ 0.037005174755077273f,
+ 0.036621744529761024f, 0.036238312957967478f, 0.035854880053795196f,
+ 0.035471445831341021f,
+ 0.035088010304703626f, 0.034704573487980395f, 0.034321135395268765f,
+ 0.033937696040667535f,
+ 0.033554255438273790f, 0.033170813602186440f, 0.032787370546502645f,
+ 0.032403926285321405f,
+ 0.032020480832740429f, 0.031637034202857461f, 0.031253586409771626f,
+ 0.030870137467580314f,
+ 0.030486687390382738f, 0.030103236192276818f, 0.029719783887360508f,
+ 0.029336330489733147f,
+ 0.028952876013492331f, 0.028569420472737472f, 0.028185963881566689f,
+ 0.027802506254078142f,
+ 0.027419047604371360f, 0.027035587946544135f, 0.026652127294696067f,
+ 0.026268665662925468f,
+ 0.025885203065330677f, 0.025501739516011413f, 0.025118275029065638f,
+ 0.024734809618593138f,
+ 0.024351343298691951f, 0.023967876083461924f, 0.023584407987001611f,
+ 0.023200939023409587f,
+ 0.022817469206785804f, 0.022433998551228459f, 0.022050527070837558f,
+ 0.021667054779711814f,
+ 0.021283581691949955f, 0.020900107821652084f, 0.020516633182916549f,
+ 0.020133157789843505f,
+ 0.019749681656531803f, 0.019366204797080316f, 0.018982727225589285f,
+ 0.018599248956157190f,
+ 0.018215770002884327f, 0.017832290379869671f, 0.017448810101212228f,
+ 0.017065329181012358f,
+ 0.016681847633368677f, 0.016298365472381587f, 0.015914882712149747f,
+ 0.015531399366773606f,
+ 0.015147915450352307f, 0.014764430976985016f, 0.014380945960772247f,
+ 0.013997460415812761f,
+ 0.013613974356207112f, 0.013230487796054543f, 0.012847000749454314f,
+ 0.012463513230507034f,
+ 0.012080025253311559f, 0.011696536831968529f, 0.011313047980577277f,
+ 0.010929558713237145f,
+ 0.010546069044048827f, 0.010162578987111254f, 0.009779088556525145f,
+ 0.009395597766389905f,
+ 0.009012106630804949f, 0.008628615163871038f, 0.008245123379687167f,
+ 0.007861631292354124f,
+ 0.007478138915970929f, 0.007094646264638386f, 0.006711153352455981f,
+ 0.006327660193523208f,
+ 0.005944166801940901f, 0.005560673191808128f, 0.005177179377225743f,
+ 0.004793685372293270f,
+ 0.004410191191110246f, 0.004026696847777542f, 0.003643202356394263f,
+ 0.003259707731061291f,
+ 0.002876212985878184f, 0.002492718134944503f, 0.002109223192361147f,
+ 0.001725728172227238f,
+ 0.001342233088643682f, 0.000958737955710053f, 0.000575242787525925f,
+ 0.000191747598192208f
+};
+ #endif
+
+/**
+ @brief Weights Table
+ */
+
+/**
+ @par
+ Weights tables are generated using the formula : weights[n] = e^(-j*n*pi/(2*N))+ @par + C command to generate the table +
+ for(i = 0; i< N; i++)
+ {
+ weights[(2*i)] = cos(i*c);
+ weights[(2*i)+1] = -sin(i*c);
+ }
+ @par
+ where N is the Number of weights to be calculated and c is pi/(2*N)
+ @par
+ Converted the output to q15 format by multiplying with 2^31 and saturated if required.
+ @par
+ In the tables below the real and imaginary values are placed alternatively, hence the
+ array length is 2*N.
+ */
+
+/**
+ @par
+ cosFactor tables are generated using the formula : cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))+ @par + C command to generate the table +
+ for (i = 0; i< N; i++)
+ {
+ cos_factors[i] = 2 * cos((2*i+1)*c/2);
+ }
+ @par
+ where N is the number of factors to generate and c is pi/(2*N)
+ @par
+ Then converted to q15 format by multiplying with 2^31 and saturated if required.
+*/
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
+
+ const q15_t __ALIGNED(4) WeightsQ15_128[256] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7fe9, (q15_t)0xfb4a,
+ (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f87, (q15_t)0xf505,
+ (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7ed5, (q15_t)0xeec7,
+ (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7dd6, (q15_t)0xe893,
+ (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7c89, (q15_t)0xe26d,
+ (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7aef, (q15_t)0xdc5a,
+ (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7909, (q15_t)0xd65d,
+ (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x76d9, (q15_t)0xd079,
+ (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x745f, (q15_t)0xcab3,
+ (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x719e, (q15_t)0xc50e,
+ (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6e96, (q15_t)0xbf8d,
+ (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6b4a, (q15_t)0xba33,
+ (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x67bd, (q15_t)0xb505,
+ (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x63ef, (q15_t)0xb005,
+ (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x5fe3, (q15_t)0xab36,
+ (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5b9d, (q15_t)0xa69c,
+ (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x571d, (q15_t)0xa239,
+ (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5269, (q15_t)0x9e0f,
+ (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4d81, (q15_t)0x9a23,
+ (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4869, (q15_t)0x9674,
+ (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4325, (q15_t)0x9307,
+ (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3db8, (q15_t)0x8fdd,
+ (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3824, (q15_t)0x8cf9,
+ (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x326e, (q15_t)0x8a5b,
+ (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2c98, (q15_t)0x8806,
+ (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x26a8, (q15_t)0x85fb,
+ (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x209f, (q15_t)0x843b,
+ (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1a82, (q15_t)0x82c7,
+ (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x1455, (q15_t)0x81a1,
+ (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1139, (q15_t)0x812b, (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xe1b, (q15_t)0x80c8,
+ (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xafb, (q15_t)0x8079, (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x7d9, (q15_t)0x803e,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x324, (q15_t)0x800a, (q15_t)0x192, (q15_t)0x8003
+};
+ const q15_t __ALIGNED(4) cos_factorsQ15_128[128] = {
+ (q15_t)0x7fff, (q15_t)0x7ffa, (q15_t)0x7ff0, (q15_t)0x7fe1, (q15_t)0x7fce, (q15_t)0x7fb5, (q15_t)0x7f97, (q15_t)0x7f75,
+ (q15_t)0x7f4d, (q15_t)0x7f21, (q15_t)0x7ef0, (q15_t)0x7eba, (q15_t)0x7e7f, (q15_t)0x7e3f, (q15_t)0x7dfa, (q15_t)0x7db0,
+ (q15_t)0x7d62, (q15_t)0x7d0f, (q15_t)0x7cb7, (q15_t)0x7c5a, (q15_t)0x7bf8, (q15_t)0x7b92, (q15_t)0x7b26, (q15_t)0x7ab6,
+ (q15_t)0x7a42, (q15_t)0x79c8, (q15_t)0x794a, (q15_t)0x78c7, (q15_t)0x7840, (q15_t)0x77b4, (q15_t)0x7723, (q15_t)0x768e,
+ (q15_t)0x75f4, (q15_t)0x7555, (q15_t)0x74b2, (q15_t)0x740b, (q15_t)0x735f, (q15_t)0x72af, (q15_t)0x71fa, (q15_t)0x7141,
+ (q15_t)0x7083, (q15_t)0x6fc1, (q15_t)0x6efb, (q15_t)0x6e30, (q15_t)0x6d62, (q15_t)0x6c8f, (q15_t)0x6bb8, (q15_t)0x6adc,
+ (q15_t)0x69fd, (q15_t)0x6919, (q15_t)0x6832, (q15_t)0x6746, (q15_t)0x6657, (q15_t)0x6563, (q15_t)0x646c, (q15_t)0x6371,
+ (q15_t)0x6271, (q15_t)0x616f, (q15_t)0x6068, (q15_t)0x5f5e, (q15_t)0x5e50, (q15_t)0x5d3e, (q15_t)0x5c29, (q15_t)0x5b10,
+ (q15_t)0x59f3, (q15_t)0x58d4, (q15_t)0x57b0, (q15_t)0x568a, (q15_t)0x5560, (q15_t)0x5433, (q15_t)0x5302, (q15_t)0x51ce,
+ (q15_t)0x5097, (q15_t)0x4f5e, (q15_t)0x4e21, (q15_t)0x4ce1, (q15_t)0x4b9e, (q15_t)0x4a58, (q15_t)0x490f, (q15_t)0x47c3,
+ (q15_t)0x4675, (q15_t)0x4524, (q15_t)0x43d0, (q15_t)0x427a, (q15_t)0x4121, (q15_t)0x3fc5, (q15_t)0x3e68, (q15_t)0x3d07,
+ (q15_t)0x3ba5, (q15_t)0x3a40, (q15_t)0x38d8, (q15_t)0x376f, (q15_t)0x3604, (q15_t)0x3496, (q15_t)0x3326, (q15_t)0x31b5,
+ (q15_t)0x3041, (q15_t)0x2ecc, (q15_t)0x2d55, (q15_t)0x2bdc, (q15_t)0x2a61, (q15_t)0x28e5, (q15_t)0x2767, (q15_t)0x25e8,
+ (q15_t)0x2467, (q15_t)0x22e5, (q15_t)0x2161, (q15_t)0x1fdc, (q15_t)0x1e56, (q15_t)0x1ccf, (q15_t)0x1b47, (q15_t)0x19bd,
+ (q15_t)0x1833, (q15_t)0x16a8, (q15_t)0x151b, (q15_t)0x138e, (q15_t)0x1201, (q15_t)0x1072, (q15_t)0xee3, (q15_t)0xd53,
+ (q15_t)0xbc3, (q15_t)0xa33, (q15_t)0x8a2, (q15_t)0x710, (q15_t)0x57f, (q15_t)0x3ed, (q15_t)0x25b, (q15_t)0xc9
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
+ const q15_t __ALIGNED(4) WeightsQ15_512[1024] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7ffe, (q15_t)0xfed3,
+ (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff8, (q15_t)0xfd41,
+ (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fed, (q15_t)0xfbaf,
+ (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fdd, (q15_t)0xfa1d,
+ (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fc8, (q15_t)0xf88b,
+ (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fae, (q15_t)0xf6fa,
+ (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f8f, (q15_t)0xf569,
+ (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f6b, (q15_t)0xf3d9,
+ (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f43, (q15_t)0xf249,
+ (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f15, (q15_t)0xf0b9,
+ (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7ee3, (q15_t)0xef2a,
+ (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eab, (q15_t)0xed9c,
+ (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e6f, (q15_t)0xec0e,
+ (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e2e, (q15_t)0xea81,
+ (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7de8, (q15_t)0xe8f6,
+ (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7d9d, (q15_t)0xe76a,
+ (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d4e, (q15_t)0xe5e0,
+ (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7cf9, (q15_t)0xe457,
+ (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7ca0, (q15_t)0xe2cf,
+ (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c42, (q15_t)0xe148,
+ (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bdf, (q15_t)0xdfc2,
+ (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b77, (q15_t)0xde3e,
+ (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b0b, (q15_t)0xdcbb,
+ (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7a9a, (q15_t)0xdb39,
+ (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a24, (q15_t)0xd9b8,
+ (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79a9, (q15_t)0xd839,
+ (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x792a, (q15_t)0xd6bc,
+ (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78a6, (q15_t)0xd540,
+ (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x781d, (q15_t)0xd3c6,
+ (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x7790, (q15_t)0xd24d,
+ (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x76fe, (q15_t)0xd0d7,
+ (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7668, (q15_t)0xcf62,
+ (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75cc, (q15_t)0xcdef,
+ (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x752d, (q15_t)0xcc7e,
+ (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x7489, (q15_t)0xcb0e,
+ (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x73e0, (q15_t)0xc9a1,
+ (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7333, (q15_t)0xc836,
+ (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x7282, (q15_t)0xc6ce,
+ (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71cc, (q15_t)0xc567,
+ (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x7112, (q15_t)0xc403,
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+ (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x83d, (q15_t)0x8044,
+ (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x775, (q15_t)0x8038, (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6ac, (q15_t)0x802d,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x51a, (q15_t)0x801b,
+ (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x451, (q15_t)0x8013, (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x388, (q15_t)0x800d,
+ (q15_t)0x324, (q15_t)0x800a, (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x1f6, (q15_t)0x8004,
+ (q15_t)0x192, (q15_t)0x8003, (q15_t)0x12d, (q15_t)0x8002, (q15_t)0xc9, (q15_t)0x8001, (q15_t)0x64, (q15_t)0x8001
+};
+
+ const q15_t __ALIGNED(4) cos_factorsQ15_512[512] = {
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ff9, (q15_t)0x7ff7,
+ (q15_t)0x7ff4, (q15_t)0x7ff2, (q15_t)0x7fee, (q15_t)0x7feb, (q15_t)0x7fe7, (q15_t)0x7fe3, (q15_t)0x7fdf, (q15_t)0x7fda,
+ (q15_t)0x7fd6, (q15_t)0x7fd0, (q15_t)0x7fcb, (q15_t)0x7fc5, (q15_t)0x7fbf, (q15_t)0x7fb8, (q15_t)0x7fb1, (q15_t)0x7faa,
+ (q15_t)0x7fa3, (q15_t)0x7f9b, (q15_t)0x7f93, (q15_t)0x7f8b, (q15_t)0x7f82, (q15_t)0x7f79, (q15_t)0x7f70, (q15_t)0x7f67,
+ (q15_t)0x7f5d, (q15_t)0x7f53, (q15_t)0x7f48, (q15_t)0x7f3d, (q15_t)0x7f32, (q15_t)0x7f27, (q15_t)0x7f1b, (q15_t)0x7f0f,
+ (q15_t)0x7f03, (q15_t)0x7ef6, (q15_t)0x7ee9, (q15_t)0x7edc, (q15_t)0x7ecf, (q15_t)0x7ec1, (q15_t)0x7eb3, (q15_t)0x7ea4,
+ (q15_t)0x7e95, (q15_t)0x7e86, (q15_t)0x7e77, (q15_t)0x7e67, (q15_t)0x7e57, (q15_t)0x7e47, (q15_t)0x7e37, (q15_t)0x7e26,
+ (q15_t)0x7e14, (q15_t)0x7e03, (q15_t)0x7df1, (q15_t)0x7ddf, (q15_t)0x7dcd, (q15_t)0x7dba, (q15_t)0x7da7, (q15_t)0x7d94,
+ (q15_t)0x7d80, (q15_t)0x7d6c, (q15_t)0x7d58, (q15_t)0x7d43, (q15_t)0x7d2f, (q15_t)0x7d19, (q15_t)0x7d04, (q15_t)0x7cee,
+ (q15_t)0x7cd8, (q15_t)0x7cc2, (q15_t)0x7cab, (q15_t)0x7c94, (q15_t)0x7c7d, (q15_t)0x7c66, (q15_t)0x7c4e, (q15_t)0x7c36,
+ (q15_t)0x7c1d, (q15_t)0x7c05, (q15_t)0x7beb, (q15_t)0x7bd2, (q15_t)0x7bb9, (q15_t)0x7b9f, (q15_t)0x7b84, (q15_t)0x7b6a,
+ (q15_t)0x7b4f, (q15_t)0x7b34, (q15_t)0x7b19, (q15_t)0x7afd, (q15_t)0x7ae1, (q15_t)0x7ac5, (q15_t)0x7aa8, (q15_t)0x7a8b,
+ (q15_t)0x7a6e, (q15_t)0x7a50, (q15_t)0x7a33, (q15_t)0x7a15, (q15_t)0x79f6, (q15_t)0x79d8, (q15_t)0x79b9, (q15_t)0x7999,
+ (q15_t)0x797a, (q15_t)0x795a, (q15_t)0x793a, (q15_t)0x7919, (q15_t)0x78f9, (q15_t)0x78d8, (q15_t)0x78b6, (q15_t)0x7895,
+ (q15_t)0x7873, (q15_t)0x7851, (q15_t)0x782e, (q15_t)0x780c, (q15_t)0x77e9, (q15_t)0x77c5, (q15_t)0x77a2, (q15_t)0x777e,
+ (q15_t)0x775a, (q15_t)0x7735, (q15_t)0x7710, (q15_t)0x76eb, (q15_t)0x76c6, (q15_t)0x76a0, (q15_t)0x767b, (q15_t)0x7654,
+ (q15_t)0x762e, (q15_t)0x7607, (q15_t)0x75e0, (q15_t)0x75b9, (q15_t)0x7591, (q15_t)0x7569, (q15_t)0x7541, (q15_t)0x7519,
+ (q15_t)0x74f0, (q15_t)0x74c7, (q15_t)0x749e, (q15_t)0x7474, (q15_t)0x744a, (q15_t)0x7420, (q15_t)0x73f6, (q15_t)0x73cb,
+ (q15_t)0x73a0, (q15_t)0x7375, (q15_t)0x7349, (q15_t)0x731d, (q15_t)0x72f1, (q15_t)0x72c5, (q15_t)0x7298, (q15_t)0x726b,
+ (q15_t)0x723e, (q15_t)0x7211, (q15_t)0x71e3, (q15_t)0x71b5, (q15_t)0x7186, (q15_t)0x7158, (q15_t)0x7129, (q15_t)0x70fa,
+ (q15_t)0x70cb, (q15_t)0x709b, (q15_t)0x706b, (q15_t)0x703b, (q15_t)0x700a, (q15_t)0x6fda, (q15_t)0x6fa9, (q15_t)0x6f77,
+ (q15_t)0x6f46, (q15_t)0x6f14, (q15_t)0x6ee2, (q15_t)0x6eaf, (q15_t)0x6e7d, (q15_t)0x6e4a, (q15_t)0x6e17, (q15_t)0x6de3,
+ (q15_t)0x6db0, (q15_t)0x6d7c, (q15_t)0x6d48, (q15_t)0x6d13, (q15_t)0x6cde, (q15_t)0x6ca9, (q15_t)0x6c74, (q15_t)0x6c3f,
+ (q15_t)0x6c09, (q15_t)0x6bd3, (q15_t)0x6b9c, (q15_t)0x6b66, (q15_t)0x6b2f, (q15_t)0x6af8, (q15_t)0x6ac1, (q15_t)0x6a89,
+ (q15_t)0x6a51, (q15_t)0x6a19, (q15_t)0x69e1, (q15_t)0x69a8, (q15_t)0x696f, (q15_t)0x6936, (q15_t)0x68fd, (q15_t)0x68c3,
+ (q15_t)0x6889, (q15_t)0x684f, (q15_t)0x6815, (q15_t)0x67da, (q15_t)0x679f, (q15_t)0x6764, (q15_t)0x6729, (q15_t)0x66ed,
+ (q15_t)0x66b1, (q15_t)0x6675, (q15_t)0x6639, (q15_t)0x65fc, (q15_t)0x65bf, (q15_t)0x6582, (q15_t)0x6545, (q15_t)0x6507,
+ (q15_t)0x64c9, (q15_t)0x648b, (q15_t)0x644d, (q15_t)0x640e, (q15_t)0x63cf, (q15_t)0x6390, (q15_t)0x6351, (q15_t)0x6311,
+ (q15_t)0x62d2, (q15_t)0x6292, (q15_t)0x6251, (q15_t)0x6211, (q15_t)0x61d0, (q15_t)0x618f, (q15_t)0x614e, (q15_t)0x610d,
+ (q15_t)0x60cb, (q15_t)0x6089, (q15_t)0x6047, (q15_t)0x6004, (q15_t)0x5fc2, (q15_t)0x5f7f, (q15_t)0x5f3c, (q15_t)0x5ef9,
+ (q15_t)0x5eb5, (q15_t)0x5e71, (q15_t)0x5e2d, (q15_t)0x5de9, (q15_t)0x5da5, (q15_t)0x5d60, (q15_t)0x5d1b, (q15_t)0x5cd6,
+ (q15_t)0x5c91, (q15_t)0x5c4b, (q15_t)0x5c06, (q15_t)0x5bc0, (q15_t)0x5b79, (q15_t)0x5b33, (q15_t)0x5aec, (q15_t)0x5aa5,
+ (q15_t)0x5a5e, (q15_t)0x5a17, (q15_t)0x59d0, (q15_t)0x5988, (q15_t)0x5940, (q15_t)0x58f8, (q15_t)0x58af, (q15_t)0x5867,
+ (q15_t)0x581e, (q15_t)0x57d5, (q15_t)0x578c, (q15_t)0x5742, (q15_t)0x56f9, (q15_t)0x56af, (q15_t)0x5665, (q15_t)0x561a,
+ (q15_t)0x55d0, (q15_t)0x5585, (q15_t)0x553a, (q15_t)0x54ef, (q15_t)0x54a4, (q15_t)0x5458, (q15_t)0x540d, (q15_t)0x53c1,
+ (q15_t)0x5375, (q15_t)0x5328, (q15_t)0x52dc, (q15_t)0x528f, (q15_t)0x5242, (q15_t)0x51f5, (q15_t)0x51a8, (q15_t)0x515a,
+ (q15_t)0x510c, (q15_t)0x50bf, (q15_t)0x5070, (q15_t)0x5022, (q15_t)0x4fd4, (q15_t)0x4f85, (q15_t)0x4f36, (q15_t)0x4ee7,
+ (q15_t)0x4e98, (q15_t)0x4e48, (q15_t)0x4df9, (q15_t)0x4da9, (q15_t)0x4d59, (q15_t)0x4d09, (q15_t)0x4cb8, (q15_t)0x4c68,
+ (q15_t)0x4c17, (q15_t)0x4bc6, (q15_t)0x4b75, (q15_t)0x4b24, (q15_t)0x4ad2, (q15_t)0x4a81, (q15_t)0x4a2f, (q15_t)0x49dd,
+ (q15_t)0x498a, (q15_t)0x4938, (q15_t)0x48e6, (q15_t)0x4893, (q15_t)0x4840, (q15_t)0x47ed, (q15_t)0x479a, (q15_t)0x4746,
+ (q15_t)0x46f3, (q15_t)0x469f, (q15_t)0x464b, (q15_t)0x45f7, (q15_t)0x45a3, (q15_t)0x454e, (q15_t)0x44fa, (q15_t)0x44a5,
+ (q15_t)0x4450, (q15_t)0x43fb, (q15_t)0x43a5, (q15_t)0x4350, (q15_t)0x42fa, (q15_t)0x42a5, (q15_t)0x424f, (q15_t)0x41f9,
+ (q15_t)0x41a2, (q15_t)0x414c, (q15_t)0x40f6, (q15_t)0x409f, (q15_t)0x4048, (q15_t)0x3ff1, (q15_t)0x3f9a, (q15_t)0x3f43,
+ (q15_t)0x3eeb, (q15_t)0x3e93, (q15_t)0x3e3c, (q15_t)0x3de4, (q15_t)0x3d8c, (q15_t)0x3d33, (q15_t)0x3cdb, (q15_t)0x3c83,
+ (q15_t)0x3c2a, (q15_t)0x3bd1, (q15_t)0x3b78, (q15_t)0x3b1f, (q15_t)0x3ac6, (q15_t)0x3a6c, (q15_t)0x3a13, (q15_t)0x39b9,
+ (q15_t)0x395f, (q15_t)0x3906, (q15_t)0x38ab, (q15_t)0x3851, (q15_t)0x37f7, (q15_t)0x379c, (q15_t)0x3742, (q15_t)0x36e7,
+ (q15_t)0x368c, (q15_t)0x3631, (q15_t)0x35d6, (q15_t)0x357b, (q15_t)0x351f, (q15_t)0x34c4, (q15_t)0x3468, (q15_t)0x340c,
+ (q15_t)0x33b0, (q15_t)0x3354, (q15_t)0x32f8, (q15_t)0x329c, (q15_t)0x3240, (q15_t)0x31e3, (q15_t)0x3186, (q15_t)0x312a,
+ (q15_t)0x30cd, (q15_t)0x3070, (q15_t)0x3013, (q15_t)0x2fb5, (q15_t)0x2f58, (q15_t)0x2efb, (q15_t)0x2e9d, (q15_t)0x2e3f,
+ (q15_t)0x2de2, (q15_t)0x2d84, (q15_t)0x2d26, (q15_t)0x2cc8, (q15_t)0x2c69, (q15_t)0x2c0b, (q15_t)0x2bad, (q15_t)0x2b4e,
+ (q15_t)0x2aef, (q15_t)0x2a91, (q15_t)0x2a32, (q15_t)0x29d3, (q15_t)0x2974, (q15_t)0x2915, (q15_t)0x28b5, (q15_t)0x2856,
+ (q15_t)0x27f6, (q15_t)0x2797, (q15_t)0x2737, (q15_t)0x26d8, (q15_t)0x2678, (q15_t)0x2618, (q15_t)0x25b8, (q15_t)0x2558,
+ (q15_t)0x24f7, (q15_t)0x2497, (q15_t)0x2437, (q15_t)0x23d6, (q15_t)0x2376, (q15_t)0x2315, (q15_t)0x22b4, (q15_t)0x2254,
+ (q15_t)0x21f3, (q15_t)0x2192, (q15_t)0x2131, (q15_t)0x20d0, (q15_t)0x206e, (q15_t)0x200d, (q15_t)0x1fac, (q15_t)0x1f4a,
+ (q15_t)0x1ee9, (q15_t)0x1e87, (q15_t)0x1e25, (q15_t)0x1dc4, (q15_t)0x1d62, (q15_t)0x1d00, (q15_t)0x1c9e, (q15_t)0x1c3c,
+ (q15_t)0x1bda, (q15_t)0x1b78, (q15_t)0x1b16, (q15_t)0x1ab3, (q15_t)0x1a51, (q15_t)0x19ef, (q15_t)0x198c, (q15_t)0x192a,
+ (q15_t)0x18c7, (q15_t)0x1864, (q15_t)0x1802, (q15_t)0x179f, (q15_t)0x173c, (q15_t)0x16d9, (q15_t)0x1676, (q15_t)0x1613,
+ (q15_t)0x15b0, (q15_t)0x154d, (q15_t)0x14ea, (q15_t)0x1487, (q15_t)0x1423, (q15_t)0x13c0, (q15_t)0x135d, (q15_t)0x12f9,
+ (q15_t)0x1296, (q15_t)0x1232, (q15_t)0x11cf, (q15_t)0x116b, (q15_t)0x1108, (q15_t)0x10a4, (q15_t)0x1040, (q15_t)0xfdd,
+ (q15_t)0xf79, (q15_t)0xf15, (q15_t)0xeb1, (q15_t)0xe4d, (q15_t)0xde9, (q15_t)0xd85, (q15_t)0xd21, (q15_t)0xcbd,
+ (q15_t)0xc59, (q15_t)0xbf5, (q15_t)0xb91, (q15_t)0xb2d, (q15_t)0xac9, (q15_t)0xa65, (q15_t)0xa00, (q15_t)0x99c,
+ (q15_t)0x938, (q15_t)0x8d4, (q15_t)0x86f, (q15_t)0x80b, (q15_t)0x7a7, (q15_t)0x742, (q15_t)0x6de, (q15_t)0x67a,
+ (q15_t)0x615, (q15_t)0x5b1, (q15_t)0x54c, (q15_t)0x4e8, (q15_t)0x483, (q15_t)0x41f, (q15_t)0x3ba, (q15_t)0x356,
+ (q15_t)0x2f1, (q15_t)0x28d, (q15_t)0x228, (q15_t)0x1c4, (q15_t)0x15f, (q15_t)0xfb, (q15_t)0x96, (q15_t)0x32
+};
+
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
+ const q15_t __ALIGNED(4) WeightsQ15_2048[4096] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffb5,
+ (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff51,
+ (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeec,
+ (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffd, (q15_t)0xfe88,
+ (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe23,
+ (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffa, (q15_t)0xfdbe,
+ (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff8, (q15_t)0xfd5a,
+ (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff6, (q15_t)0xfcf5,
+ (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfc91,
+ (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc2c,
+ (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbc8,
+ (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7fea, (q15_t)0xfb64,
+ (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe6, (q15_t)0xfaff,
+ (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe2, (q15_t)0xfa9b,
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+ (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cc5, (q15_t)0x8f59,
+ (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c6c, (q15_t)0x8f2a,
+ (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c14, (q15_t)0x8efa,
+ (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bbb, (q15_t)0x8ecb,
+ (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b62, (q15_t)0x8e9c,
+ (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b09, (q15_t)0x8e6e,
+ (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3aaf, (q15_t)0x8e40,
+ (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a56, (q15_t)0x8e12,
+ (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x39fd, (q15_t)0x8de4,
+ (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39a3, (q15_t)0x8db7,
+ (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x3949, (q15_t)0x8d8a,
+ (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x38ef, (q15_t)0x8d5d,
+ (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x3895, (q15_t)0x8d30,
+ (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x383b, (q15_t)0x8d04,
+ (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37e0, (q15_t)0x8cd8,
+ (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3786, (q15_t)0x8cac,
+ (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x372b, (q15_t)0x8c81,
+ (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36d0, (q15_t)0x8c55,
+ (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3675, (q15_t)0x8c2a,
+ (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x361a, (q15_t)0x8c00,
+ (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35bf, (q15_t)0x8bd5,
+ (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3564, (q15_t)0x8bab,
+ (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x3508, (q15_t)0x8b82,
+ (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34ad, (q15_t)0x8b58,
+ (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3451, (q15_t)0x8b2f,
+ (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x33f5, (q15_t)0x8b06,
+ (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x3399, (q15_t)0x8add,
+ (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x333d, (q15_t)0x8ab5,
+ (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32e1, (q15_t)0x8a8d,
+ (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3285, (q15_t)0x8a65,
+ (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x3228, (q15_t)0x8a3d,
+ (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31cc, (q15_t)0x8a16,
+ (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x316f, (q15_t)0x89ef,
+ (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3112, (q15_t)0x89c8,
+ (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30b6, (q15_t)0x89a2,
+ (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x3059, (q15_t)0x897c,
+ (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x2ffb, (q15_t)0x8956,
+ (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2f9e, (q15_t)0x8931,
+ (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f41, (q15_t)0x890b,
+ (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ee3, (q15_t)0x88e6,
+ (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e86, (q15_t)0x88c2,
+ (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e28, (q15_t)0x889d,
+ (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2dca, (q15_t)0x8879,
+ (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d6c, (q15_t)0x8855,
+ (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d0e, (q15_t)0x8832,
+ (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cb0, (q15_t)0x880f,
+ (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c52, (q15_t)0x87ec,
+ (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2bf3, (q15_t)0x87c9,
+ (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2b95, (q15_t)0x87a7,
+ (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b36, (q15_t)0x8784,
+ (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ad8, (q15_t)0x8763,
+ (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a79, (q15_t)0x8741,
+ (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a1a, (q15_t)0x8720,
+ (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29bb, (q15_t)0x86ff,
+ (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x295c, (q15_t)0x86de,
+ (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x28fd, (q15_t)0x86be,
+ (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x289d, (q15_t)0x869e,
+ (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x283e, (q15_t)0x867e,
+ (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27df, (q15_t)0x865f,
+ (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x277f, (q15_t)0x8640,
+ (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x271f, (q15_t)0x8621,
+ (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26c0, (q15_t)0x8602,
+ (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2660, (q15_t)0x85e4,
+ (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2600, (q15_t)0x85c6,
+ (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25a0, (q15_t)0x85a8,
+ (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2540, (q15_t)0x858b,
+ (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24df, (q15_t)0x856e,
+ (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x247f, (q15_t)0x8551,
+ (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x241f, (q15_t)0x8534,
+ (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23be, (q15_t)0x8518,
+ (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x235e, (q15_t)0x84fc,
+ (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x22fd, (q15_t)0x84e1,
+ (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x229c, (q15_t)0x84c5,
+ (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x223b, (q15_t)0x84aa,
+ (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21da, (q15_t)0x848f,
+ (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x2179, (q15_t)0x8475,
+ (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x2118, (q15_t)0x845b,
+ (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20b7, (q15_t)0x8441,
+ (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2056, (q15_t)0x8427,
+ (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x1ff5, (q15_t)0x840e,
+ (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1f93, (q15_t)0x83f5,
+ (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f32, (q15_t)0x83dd,
+ (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ed0, (q15_t)0x83c4,
+ (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e6f, (q15_t)0x83ac,
+ (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e0d, (q15_t)0x8394,
+ (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dab, (q15_t)0x837d,
+ (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d49, (q15_t)0x8366,
+ (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1ce8, (q15_t)0x834f,
+ (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c86, (q15_t)0x8338,
+ (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c24, (q15_t)0x8322,
+ (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bc1, (q15_t)0x830c,
+ (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b5f, (q15_t)0x82f7,
+ (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1afd, (q15_t)0x82e1,
+ (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1a9b, (q15_t)0x82cc,
+ (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a38, (q15_t)0x82b7,
+ (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19d6, (q15_t)0x82a3,
+ (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1973, (q15_t)0x828f,
+ (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1911, (q15_t)0x827b,
+ (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18ae, (q15_t)0x8268,
+ (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x184c, (q15_t)0x8254,
+ (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17e9, (q15_t)0x8241,
+ (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1786, (q15_t)0x822f,
+ (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1723, (q15_t)0x821c,
+ (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16c0, (q15_t)0x820a,
+ (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x165d, (q15_t)0x81f9,
+ (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x15fa, (q15_t)0x81e7,
+ (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x1597, (q15_t)0x81d6,
+ (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1534, (q15_t)0x81c5,
+ (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14d1, (q15_t)0x81b5,
+ (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x146e, (q15_t)0x81a5,
+ (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x140b, (q15_t)0x8195,
+ (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13a7, (q15_t)0x8185,
+ (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1344, (q15_t)0x8176,
+ (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12e0, (q15_t)0x8167,
+ (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x127d, (q15_t)0x8158,
+ (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x1219, (q15_t)0x814a,
+ (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11b6, (q15_t)0x813c,
+ (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1152, (q15_t)0x812e,
+ (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x10ef, (q15_t)0x8121,
+ (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x108b, (q15_t)0x8113,
+ (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x1027, (q15_t)0x8107,
+ (q15_t)0x100e, (q15_t)0x8103, (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfc4, (q15_t)0x80fa,
+ (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf60, (q15_t)0x80ee,
+ (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xefc, (q15_t)0x80e2,
+ (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xe98, (q15_t)0x80d6,
+ (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe34, (q15_t)0x80cb,
+ (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xdd0, (q15_t)0x80c0,
+ (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd6c, (q15_t)0x80b5,
+ (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd08, (q15_t)0x80ab,
+ (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xca4, (q15_t)0x80a1,
+ (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc40, (q15_t)0x8097,
+ (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbdc, (q15_t)0x808e,
+ (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb78, (q15_t)0x8084,
+ (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb14, (q15_t)0x807b,
+ (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xab0, (q15_t)0x8073,
+ (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa4c, (q15_t)0x806b,
+ (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9e7, (q15_t)0x8063,
+ (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x983, (q15_t)0x805b,
+ (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x951, (q15_t)0x8057, (q15_t)0x938, (q15_t)0x8056, (q15_t)0x91f, (q15_t)0x8054,
+ (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8bb, (q15_t)0x804d,
+ (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x888, (q15_t)0x8049, (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x856, (q15_t)0x8046,
+ (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x824, (q15_t)0x8043, (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x7f2, (q15_t)0x8040,
+ (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x78e, (q15_t)0x803a,
+ (q15_t)0x775, (q15_t)0x8038, (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x742, (q15_t)0x8035, (q15_t)0x729, (q15_t)0x8034,
+ (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6c5, (q15_t)0x802e,
+ (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x693, (q15_t)0x802c, (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x660, (q15_t)0x8029,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x615, (q15_t)0x8026, (q15_t)0x5fc, (q15_t)0x8024,
+ (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x598, (q15_t)0x8020,
+ (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x565, (q15_t)0x801e, (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x533, (q15_t)0x801c,
+ (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4cf, (q15_t)0x8018,
+ (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x483, (q15_t)0x8015, (q15_t)0x46a, (q15_t)0x8014,
+ (q15_t)0x451, (q15_t)0x8013, (q15_t)0x438, (q15_t)0x8012, (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x406, (q15_t)0x8011,
+ (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3a1, (q15_t)0x800e,
+ (q15_t)0x388, (q15_t)0x800d, (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x356, (q15_t)0x800c, (q15_t)0x33d, (q15_t)0x800b,
+ (q15_t)0x324, (q15_t)0x800a, (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2d8, (q15_t)0x8009,
+ (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x274, (q15_t)0x8007,
+ (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x242, (q15_t)0x8006, (q15_t)0x228, (q15_t)0x8005, (q15_t)0x20f, (q15_t)0x8005,
+ (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1ab, (q15_t)0x8003,
+ (q15_t)0x192, (q15_t)0x8003, (q15_t)0x178, (q15_t)0x8003, (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x146, (q15_t)0x8002,
+ (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x114, (q15_t)0x8002, (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xe2, (q15_t)0x8001,
+ (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xaf, (q15_t)0x8001, (q15_t)0x96, (q15_t)0x8001, (q15_t)0x7d, (q15_t)0x8001,
+ (q15_t)0x64, (q15_t)0x8001, (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x32, (q15_t)0x8001, (q15_t)0x19, (q15_t)0x8001
+};
+ const q15_t __ALIGNED(4) cos_factorsQ15_2048[2048] = {
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd,
+ (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa,
+ (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6,
+ (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff1, (q15_t)0x7ff0,
+ (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7fea,
+ (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe3, (q15_t)0x7fe2,
+ (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fda, (q15_t)0x7fd9,
+ (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd0, (q15_t)0x7fce,
+ (q15_t)0x7fcd, (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc4, (q15_t)0x7fc3,
+ (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fbe, (q15_t)0x7fbc, (q15_t)0x7fbb, (q15_t)0x7fb9, (q15_t)0x7fb7, (q15_t)0x7fb6,
+ (q15_t)0x7fb4, (q15_t)0x7fb2, (q15_t)0x7fb1, (q15_t)0x7faf, (q15_t)0x7fad, (q15_t)0x7fab, (q15_t)0x7fa9, (q15_t)0x7fa8,
+ (q15_t)0x7fa6, (q15_t)0x7fa4, (q15_t)0x7fa2, (q15_t)0x7fa0, (q15_t)0x7f9e, (q15_t)0x7f9c, (q15_t)0x7f9a, (q15_t)0x7f98,
+ (q15_t)0x7f96, (q15_t)0x7f94, (q15_t)0x7f92, (q15_t)0x7f90, (q15_t)0x7f8e, (q15_t)0x7f8c, (q15_t)0x7f8a, (q15_t)0x7f88,
+ (q15_t)0x7f86, (q15_t)0x7f83, (q15_t)0x7f81, (q15_t)0x7f7f, (q15_t)0x7f7d, (q15_t)0x7f7b, (q15_t)0x7f78, (q15_t)0x7f76,
+ (q15_t)0x7f74, (q15_t)0x7f71, (q15_t)0x7f6f, (q15_t)0x7f6d, (q15_t)0x7f6a, (q15_t)0x7f68, (q15_t)0x7f65, (q15_t)0x7f63,
+ (q15_t)0x7f60, (q15_t)0x7f5e, (q15_t)0x7f5b, (q15_t)0x7f59, (q15_t)0x7f56, (q15_t)0x7f54, (q15_t)0x7f51, (q15_t)0x7f4f,
+ (q15_t)0x7f4c, (q15_t)0x7f49, (q15_t)0x7f47, (q15_t)0x7f44, (q15_t)0x7f41, (q15_t)0x7f3f, (q15_t)0x7f3c, (q15_t)0x7f39,
+ (q15_t)0x7f36, (q15_t)0x7f34, (q15_t)0x7f31, (q15_t)0x7f2e, (q15_t)0x7f2b, (q15_t)0x7f28, (q15_t)0x7f25, (q15_t)0x7f23,
+ (q15_t)0x7f20, (q15_t)0x7f1d, (q15_t)0x7f1a, (q15_t)0x7f17, (q15_t)0x7f14, (q15_t)0x7f11, (q15_t)0x7f0e, (q15_t)0x7f0b,
+ (q15_t)0x7f08, (q15_t)0x7f04, (q15_t)0x7f01, (q15_t)0x7efe, (q15_t)0x7efb, (q15_t)0x7ef8, (q15_t)0x7ef5, (q15_t)0x7ef1,
+ (q15_t)0x7eee, (q15_t)0x7eeb, (q15_t)0x7ee8, (q15_t)0x7ee4, (q15_t)0x7ee1, (q15_t)0x7ede, (q15_t)0x7eda, (q15_t)0x7ed7,
+ (q15_t)0x7ed4, (q15_t)0x7ed0, (q15_t)0x7ecd, (q15_t)0x7ec9, (q15_t)0x7ec6, (q15_t)0x7ec3, (q15_t)0x7ebf, (q15_t)0x7ebb,
+ (q15_t)0x7eb8, (q15_t)0x7eb4, (q15_t)0x7eb1, (q15_t)0x7ead, (q15_t)0x7eaa, (q15_t)0x7ea6, (q15_t)0x7ea2, (q15_t)0x7e9f,
+ (q15_t)0x7e9b, (q15_t)0x7e97, (q15_t)0x7e94, (q15_t)0x7e90, (q15_t)0x7e8c, (q15_t)0x7e88, (q15_t)0x7e84, (q15_t)0x7e81,
+ (q15_t)0x7e7d, (q15_t)0x7e79, (q15_t)0x7e75, (q15_t)0x7e71, (q15_t)0x7e6d, (q15_t)0x7e69, (q15_t)0x7e65, (q15_t)0x7e61,
+ (q15_t)0x7e5d, (q15_t)0x7e59, (q15_t)0x7e55, (q15_t)0x7e51, (q15_t)0x7e4d, (q15_t)0x7e49, (q15_t)0x7e45, (q15_t)0x7e41,
+ (q15_t)0x7e3d, (q15_t)0x7e39, (q15_t)0x7e34, (q15_t)0x7e30, (q15_t)0x7e2c, (q15_t)0x7e28, (q15_t)0x7e24, (q15_t)0x7e1f,
+ (q15_t)0x7e1b, (q15_t)0x7e17, (q15_t)0x7e12, (q15_t)0x7e0e, (q15_t)0x7e0a, (q15_t)0x7e05, (q15_t)0x7e01, (q15_t)0x7dfc,
+ (q15_t)0x7df8, (q15_t)0x7df3, (q15_t)0x7def, (q15_t)0x7dea, (q15_t)0x7de6, (q15_t)0x7de1, (q15_t)0x7ddd, (q15_t)0x7dd8,
+ (q15_t)0x7dd4, (q15_t)0x7dcf, (q15_t)0x7dca, (q15_t)0x7dc6, (q15_t)0x7dc1, (q15_t)0x7dbc, (q15_t)0x7db8, (q15_t)0x7db3,
+ (q15_t)0x7dae, (q15_t)0x7da9, (q15_t)0x7da5, (q15_t)0x7da0, (q15_t)0x7d9b, (q15_t)0x7d96, (q15_t)0x7d91, (q15_t)0x7d8c,
+ (q15_t)0x7d87, (q15_t)0x7d82, (q15_t)0x7d7e, (q15_t)0x7d79, (q15_t)0x7d74, (q15_t)0x7d6f, (q15_t)0x7d6a, (q15_t)0x7d65,
+ (q15_t)0x7d60, (q15_t)0x7d5a, (q15_t)0x7d55, (q15_t)0x7d50, (q15_t)0x7d4b, (q15_t)0x7d46, (q15_t)0x7d41, (q15_t)0x7d3c,
+ (q15_t)0x7d36, (q15_t)0x7d31, (q15_t)0x7d2c, (q15_t)0x7d27, (q15_t)0x7d21, (q15_t)0x7d1c, (q15_t)0x7d17, (q15_t)0x7d11,
+ (q15_t)0x7d0c, (q15_t)0x7d07, (q15_t)0x7d01, (q15_t)0x7cfc, (q15_t)0x7cf6, (q15_t)0x7cf1, (q15_t)0x7cec, (q15_t)0x7ce6,
+ (q15_t)0x7ce1, (q15_t)0x7cdb, (q15_t)0x7cd5, (q15_t)0x7cd0, (q15_t)0x7cca, (q15_t)0x7cc5, (q15_t)0x7cbf, (q15_t)0x7cb9,
+ (q15_t)0x7cb4, (q15_t)0x7cae, (q15_t)0x7ca8, (q15_t)0x7ca3, (q15_t)0x7c9d, (q15_t)0x7c97, (q15_t)0x7c91, (q15_t)0x7c8c,
+ (q15_t)0x7c86, (q15_t)0x7c80, (q15_t)0x7c7a, (q15_t)0x7c74, (q15_t)0x7c6e, (q15_t)0x7c69, (q15_t)0x7c63, (q15_t)0x7c5d,
+ (q15_t)0x7c57, (q15_t)0x7c51, (q15_t)0x7c4b, (q15_t)0x7c45, (q15_t)0x7c3f, (q15_t)0x7c39, (q15_t)0x7c33, (q15_t)0x7c2d,
+ (q15_t)0x7c26, (q15_t)0x7c20, (q15_t)0x7c1a, (q15_t)0x7c14, (q15_t)0x7c0e, (q15_t)0x7c08, (q15_t)0x7c01, (q15_t)0x7bfb,
+ (q15_t)0x7bf5, (q15_t)0x7bef, (q15_t)0x7be8, (q15_t)0x7be2, (q15_t)0x7bdc, (q15_t)0x7bd5, (q15_t)0x7bcf, (q15_t)0x7bc9,
+ (q15_t)0x7bc2, (q15_t)0x7bbc, (q15_t)0x7bb5, (q15_t)0x7baf, (q15_t)0x7ba8, (q15_t)0x7ba2, (q15_t)0x7b9b, (q15_t)0x7b95,
+ (q15_t)0x7b8e, (q15_t)0x7b88, (q15_t)0x7b81, (q15_t)0x7b7a, (q15_t)0x7b74, (q15_t)0x7b6d, (q15_t)0x7b67, (q15_t)0x7b60,
+ (q15_t)0x7b59, (q15_t)0x7b52, (q15_t)0x7b4c, (q15_t)0x7b45, (q15_t)0x7b3e, (q15_t)0x7b37, (q15_t)0x7b31, (q15_t)0x7b2a,
+ (q15_t)0x7b23, (q15_t)0x7b1c, (q15_t)0x7b15, (q15_t)0x7b0e, (q15_t)0x7b07, (q15_t)0x7b00, (q15_t)0x7af9, (q15_t)0x7af2,
+ (q15_t)0x7aeb, (q15_t)0x7ae4, (q15_t)0x7add, (q15_t)0x7ad6, (q15_t)0x7acf, (q15_t)0x7ac8, (q15_t)0x7ac1, (q15_t)0x7aba,
+ (q15_t)0x7ab3, (q15_t)0x7aac, (q15_t)0x7aa4, (q15_t)0x7a9d, (q15_t)0x7a96, (q15_t)0x7a8f, (q15_t)0x7a87, (q15_t)0x7a80,
+ (q15_t)0x7a79, (q15_t)0x7a72, (q15_t)0x7a6a, (q15_t)0x7a63, (q15_t)0x7a5c, (q15_t)0x7a54, (q15_t)0x7a4d, (q15_t)0x7a45,
+ (q15_t)0x7a3e, (q15_t)0x7a36, (q15_t)0x7a2f, (q15_t)0x7a27, (q15_t)0x7a20, (q15_t)0x7a18, (q15_t)0x7a11, (q15_t)0x7a09,
+ (q15_t)0x7a02, (q15_t)0x79fa, (q15_t)0x79f2, (q15_t)0x79eb, (q15_t)0x79e3, (q15_t)0x79db, (q15_t)0x79d4, (q15_t)0x79cc,
+ (q15_t)0x79c4, (q15_t)0x79bc, (q15_t)0x79b5, (q15_t)0x79ad, (q15_t)0x79a5, (q15_t)0x799d, (q15_t)0x7995, (q15_t)0x798e,
+ (q15_t)0x7986, (q15_t)0x797e, (q15_t)0x7976, (q15_t)0x796e, (q15_t)0x7966, (q15_t)0x795e, (q15_t)0x7956, (q15_t)0x794e,
+ (q15_t)0x7946, (q15_t)0x793e, (q15_t)0x7936, (q15_t)0x792e, (q15_t)0x7926, (q15_t)0x791e, (q15_t)0x7915, (q15_t)0x790d,
+ (q15_t)0x7905, (q15_t)0x78fd, (q15_t)0x78f5, (q15_t)0x78ec, (q15_t)0x78e4, (q15_t)0x78dc, (q15_t)0x78d4, (q15_t)0x78cb,
+ (q15_t)0x78c3, (q15_t)0x78bb, (q15_t)0x78b2, (q15_t)0x78aa, (q15_t)0x78a2, (q15_t)0x7899, (q15_t)0x7891, (q15_t)0x7888,
+ (q15_t)0x7880, (q15_t)0x7877, (q15_t)0x786f, (q15_t)0x7866, (q15_t)0x785e, (q15_t)0x7855, (q15_t)0x784d, (q15_t)0x7844,
+ (q15_t)0x783b, (q15_t)0x7833, (q15_t)0x782a, (q15_t)0x7821, (q15_t)0x7819, (q15_t)0x7810, (q15_t)0x7807, (q15_t)0x77ff,
+ (q15_t)0x77f6, (q15_t)0x77ed, (q15_t)0x77e4, (q15_t)0x77db, (q15_t)0x77d3, (q15_t)0x77ca, (q15_t)0x77c1, (q15_t)0x77b8,
+ (q15_t)0x77af, (q15_t)0x77a6, (q15_t)0x779d, (q15_t)0x7794, (q15_t)0x778b, (q15_t)0x7782, (q15_t)0x7779, (q15_t)0x7770,
+ (q15_t)0x7767, (q15_t)0x775e, (q15_t)0x7755, (q15_t)0x774c, (q15_t)0x7743, (q15_t)0x773a, (q15_t)0x7731, (q15_t)0x7727,
+ (q15_t)0x771e, (q15_t)0x7715, (q15_t)0x770c, (q15_t)0x7703, (q15_t)0x76f9, (q15_t)0x76f0, (q15_t)0x76e7, (q15_t)0x76dd,
+ (q15_t)0x76d4, (q15_t)0x76cb, (q15_t)0x76c1, (q15_t)0x76b8, (q15_t)0x76af, (q15_t)0x76a5, (q15_t)0x769c, (q15_t)0x7692,
+ (q15_t)0x7689, (q15_t)0x767f, (q15_t)0x7676, (q15_t)0x766c, (q15_t)0x7663, (q15_t)0x7659, (q15_t)0x7650, (q15_t)0x7646,
+ (q15_t)0x763c, (q15_t)0x7633, (q15_t)0x7629, (q15_t)0x761f, (q15_t)0x7616, (q15_t)0x760c, (q15_t)0x7602, (q15_t)0x75f9,
+ (q15_t)0x75ef, (q15_t)0x75e5, (q15_t)0x75db, (q15_t)0x75d1, (q15_t)0x75c8, (q15_t)0x75be, (q15_t)0x75b4, (q15_t)0x75aa,
+ (q15_t)0x75a0, (q15_t)0x7596, (q15_t)0x758c, (q15_t)0x7582, (q15_t)0x7578, (q15_t)0x756e, (q15_t)0x7564, (q15_t)0x755a,
+ (q15_t)0x7550, (q15_t)0x7546, (q15_t)0x753c, (q15_t)0x7532, (q15_t)0x7528, (q15_t)0x751e, (q15_t)0x7514, (q15_t)0x7509,
+ (q15_t)0x74ff, (q15_t)0x74f5, (q15_t)0x74eb, (q15_t)0x74e1, (q15_t)0x74d6, (q15_t)0x74cc, (q15_t)0x74c2, (q15_t)0x74b7,
+ (q15_t)0x74ad, (q15_t)0x74a3, (q15_t)0x7498, (q15_t)0x748e, (q15_t)0x7484, (q15_t)0x7479, (q15_t)0x746f, (q15_t)0x7464,
+ (q15_t)0x745a, (q15_t)0x744f, (q15_t)0x7445, (q15_t)0x743a, (q15_t)0x7430, (q15_t)0x7425, (q15_t)0x741b, (q15_t)0x7410,
+ (q15_t)0x7406, (q15_t)0x73fb, (q15_t)0x73f0, (q15_t)0x73e6, (q15_t)0x73db, (q15_t)0x73d0, (q15_t)0x73c6, (q15_t)0x73bb,
+ (q15_t)0x73b0, (q15_t)0x73a5, (q15_t)0x739b, (q15_t)0x7390, (q15_t)0x7385, (q15_t)0x737a, (q15_t)0x736f, (q15_t)0x7364,
+ (q15_t)0x7359, (q15_t)0x734f, (q15_t)0x7344, (q15_t)0x7339, (q15_t)0x732e, (q15_t)0x7323, (q15_t)0x7318, (q15_t)0x730d,
+ (q15_t)0x7302, (q15_t)0x72f7, (q15_t)0x72ec, (q15_t)0x72e1, (q15_t)0x72d5, (q15_t)0x72ca, (q15_t)0x72bf, (q15_t)0x72b4,
+ (q15_t)0x72a9, (q15_t)0x729e, (q15_t)0x7293, (q15_t)0x7287, (q15_t)0x727c, (q15_t)0x7271, (q15_t)0x7266, (q15_t)0x725a,
+ (q15_t)0x724f, (q15_t)0x7244, (q15_t)0x7238, (q15_t)0x722d, (q15_t)0x7222, (q15_t)0x7216, (q15_t)0x720b, (q15_t)0x71ff,
+ (q15_t)0x71f4, (q15_t)0x71e9, (q15_t)0x71dd, (q15_t)0x71d2, (q15_t)0x71c6, (q15_t)0x71bb, (q15_t)0x71af, (q15_t)0x71a3,
+ (q15_t)0x7198, (q15_t)0x718c, (q15_t)0x7181, (q15_t)0x7175, (q15_t)0x7169, (q15_t)0x715e, (q15_t)0x7152, (q15_t)0x7146,
+ (q15_t)0x713b, (q15_t)0x712f, (q15_t)0x7123, (q15_t)0x7117, (q15_t)0x710c, (q15_t)0x7100, (q15_t)0x70f4, (q15_t)0x70e8,
+ (q15_t)0x70dc, (q15_t)0x70d1, (q15_t)0x70c5, (q15_t)0x70b9, (q15_t)0x70ad, (q15_t)0x70a1, (q15_t)0x7095, (q15_t)0x7089,
+ (q15_t)0x707d, (q15_t)0x7071, (q15_t)0x7065, (q15_t)0x7059, (q15_t)0x704d, (q15_t)0x7041, (q15_t)0x7035, (q15_t)0x7029,
+ (q15_t)0x701d, (q15_t)0x7010, (q15_t)0x7004, (q15_t)0x6ff8, (q15_t)0x6fec, (q15_t)0x6fe0, (q15_t)0x6fd3, (q15_t)0x6fc7,
+ (q15_t)0x6fbb, (q15_t)0x6faf, (q15_t)0x6fa2, (q15_t)0x6f96, (q15_t)0x6f8a, (q15_t)0x6f7d, (q15_t)0x6f71, (q15_t)0x6f65,
+ (q15_t)0x6f58, (q15_t)0x6f4c, (q15_t)0x6f3f, (q15_t)0x6f33, (q15_t)0x6f27, (q15_t)0x6f1a, (q15_t)0x6f0e, (q15_t)0x6f01,
+ (q15_t)0x6ef5, (q15_t)0x6ee8, (q15_t)0x6edc, (q15_t)0x6ecf, (q15_t)0x6ec2, (q15_t)0x6eb6, (q15_t)0x6ea9, (q15_t)0x6e9c,
+ (q15_t)0x6e90, (q15_t)0x6e83, (q15_t)0x6e76, (q15_t)0x6e6a, (q15_t)0x6e5d, (q15_t)0x6e50, (q15_t)0x6e44, (q15_t)0x6e37,
+ (q15_t)0x6e2a, (q15_t)0x6e1d, (q15_t)0x6e10, (q15_t)0x6e04, (q15_t)0x6df7, (q15_t)0x6dea, (q15_t)0x6ddd, (q15_t)0x6dd0,
+ (q15_t)0x6dc3, (q15_t)0x6db6, (q15_t)0x6da9, (q15_t)0x6d9c, (q15_t)0x6d8f, (q15_t)0x6d82, (q15_t)0x6d75, (q15_t)0x6d68,
+ (q15_t)0x6d5b, (q15_t)0x6d4e, (q15_t)0x6d41, (q15_t)0x6d34, (q15_t)0x6d27, (q15_t)0x6d1a, (q15_t)0x6d0c, (q15_t)0x6cff,
+ (q15_t)0x6cf2, (q15_t)0x6ce5, (q15_t)0x6cd8, (q15_t)0x6cca, (q15_t)0x6cbd, (q15_t)0x6cb0, (q15_t)0x6ca3, (q15_t)0x6c95,
+ (q15_t)0x6c88, (q15_t)0x6c7b, (q15_t)0x6c6d, (q15_t)0x6c60, (q15_t)0x6c53, (q15_t)0x6c45, (q15_t)0x6c38, (q15_t)0x6c2a,
+ (q15_t)0x6c1d, (q15_t)0x6c0f, (q15_t)0x6c02, (q15_t)0x6bf5, (q15_t)0x6be7, (q15_t)0x6bd9, (q15_t)0x6bcc, (q15_t)0x6bbe,
+ (q15_t)0x6bb1, (q15_t)0x6ba3, (q15_t)0x6b96, (q15_t)0x6b88, (q15_t)0x6b7a, (q15_t)0x6b6d, (q15_t)0x6b5f, (q15_t)0x6b51,
+ (q15_t)0x6b44, (q15_t)0x6b36, (q15_t)0x6b28, (q15_t)0x6b1a, (q15_t)0x6b0d, (q15_t)0x6aff, (q15_t)0x6af1, (q15_t)0x6ae3,
+ (q15_t)0x6ad5, (q15_t)0x6ac8, (q15_t)0x6aba, (q15_t)0x6aac, (q15_t)0x6a9e, (q15_t)0x6a90, (q15_t)0x6a82, (q15_t)0x6a74,
+ (q15_t)0x6a66, (q15_t)0x6a58, (q15_t)0x6a4a, (q15_t)0x6a3c, (q15_t)0x6a2e, (q15_t)0x6a20, (q15_t)0x6a12, (q15_t)0x6a04,
+ (q15_t)0x69f6, (q15_t)0x69e8, (q15_t)0x69da, (q15_t)0x69cb, (q15_t)0x69bd, (q15_t)0x69af, (q15_t)0x69a1, (q15_t)0x6993,
+ (q15_t)0x6985, (q15_t)0x6976, (q15_t)0x6968, (q15_t)0x695a, (q15_t)0x694b, (q15_t)0x693d, (q15_t)0x692f, (q15_t)0x6921,
+ (q15_t)0x6912, (q15_t)0x6904, (q15_t)0x68f5, (q15_t)0x68e7, (q15_t)0x68d9, (q15_t)0x68ca, (q15_t)0x68bc, (q15_t)0x68ad,
+ (q15_t)0x689f, (q15_t)0x6890, (q15_t)0x6882, (q15_t)0x6873, (q15_t)0x6865, (q15_t)0x6856, (q15_t)0x6848, (q15_t)0x6839,
+ (q15_t)0x682b, (q15_t)0x681c, (q15_t)0x680d, (q15_t)0x67ff, (q15_t)0x67f0, (q15_t)0x67e1, (q15_t)0x67d3, (q15_t)0x67c4,
+ (q15_t)0x67b5, (q15_t)0x67a6, (q15_t)0x6798, (q15_t)0x6789, (q15_t)0x677a, (q15_t)0x676b, (q15_t)0x675d, (q15_t)0x674e,
+ (q15_t)0x673f, (q15_t)0x6730, (q15_t)0x6721, (q15_t)0x6712, (q15_t)0x6703, (q15_t)0x66f4, (q15_t)0x66e5, (q15_t)0x66d6,
+ (q15_t)0x66c8, (q15_t)0x66b9, (q15_t)0x66aa, (q15_t)0x669b, (q15_t)0x668b, (q15_t)0x667c, (q15_t)0x666d, (q15_t)0x665e,
+ (q15_t)0x664f, (q15_t)0x6640, (q15_t)0x6631, (q15_t)0x6622, (q15_t)0x6613, (q15_t)0x6603, (q15_t)0x65f4, (q15_t)0x65e5,
+ (q15_t)0x65d6, (q15_t)0x65c7, (q15_t)0x65b7, (q15_t)0x65a8, (q15_t)0x6599, (q15_t)0x658a, (q15_t)0x657a, (q15_t)0x656b,
+ (q15_t)0x655c, (q15_t)0x654c, (q15_t)0x653d, (q15_t)0x652d, (q15_t)0x651e, (q15_t)0x650f, (q15_t)0x64ff, (q15_t)0x64f0,
+ (q15_t)0x64e0, (q15_t)0x64d1, (q15_t)0x64c1, (q15_t)0x64b2, (q15_t)0x64a2, (q15_t)0x6493, (q15_t)0x6483, (q15_t)0x6474,
+ (q15_t)0x6464, (q15_t)0x6454, (q15_t)0x6445, (q15_t)0x6435, (q15_t)0x6426, (q15_t)0x6416, (q15_t)0x6406, (q15_t)0x63f7,
+ (q15_t)0x63e7, (q15_t)0x63d7, (q15_t)0x63c7, (q15_t)0x63b8, (q15_t)0x63a8, (q15_t)0x6398, (q15_t)0x6388, (q15_t)0x6378,
+ (q15_t)0x6369, (q15_t)0x6359, (q15_t)0x6349, (q15_t)0x6339, (q15_t)0x6329, (q15_t)0x6319, (q15_t)0x6309, (q15_t)0x62f9,
+ (q15_t)0x62ea, (q15_t)0x62da, (q15_t)0x62ca, (q15_t)0x62ba, (q15_t)0x62aa, (q15_t)0x629a, (q15_t)0x628a, (q15_t)0x627a,
+ (q15_t)0x6269, (q15_t)0x6259, (q15_t)0x6249, (q15_t)0x6239, (q15_t)0x6229, (q15_t)0x6219, (q15_t)0x6209, (q15_t)0x61f9,
+ (q15_t)0x61e8, (q15_t)0x61d8, (q15_t)0x61c8, (q15_t)0x61b8, (q15_t)0x61a8, (q15_t)0x6197, (q15_t)0x6187, (q15_t)0x6177,
+ (q15_t)0x6166, (q15_t)0x6156, (q15_t)0x6146, (q15_t)0x6135, (q15_t)0x6125, (q15_t)0x6115, (q15_t)0x6104, (q15_t)0x60f4,
+ (q15_t)0x60e4, (q15_t)0x60d3, (q15_t)0x60c3, (q15_t)0x60b2, (q15_t)0x60a2, (q15_t)0x6091, (q15_t)0x6081, (q15_t)0x6070,
+ (q15_t)0x6060, (q15_t)0x604f, (q15_t)0x603f, (q15_t)0x602e, (q15_t)0x601d, (q15_t)0x600d, (q15_t)0x5ffc, (q15_t)0x5fec,
+ (q15_t)0x5fdb, (q15_t)0x5fca, (q15_t)0x5fba, (q15_t)0x5fa9, (q15_t)0x5f98, (q15_t)0x5f87, (q15_t)0x5f77, (q15_t)0x5f66,
+ (q15_t)0x5f55, (q15_t)0x5f44, (q15_t)0x5f34, (q15_t)0x5f23, (q15_t)0x5f12, (q15_t)0x5f01, (q15_t)0x5ef0, (q15_t)0x5edf,
+ (q15_t)0x5ecf, (q15_t)0x5ebe, (q15_t)0x5ead, (q15_t)0x5e9c, (q15_t)0x5e8b, (q15_t)0x5e7a, (q15_t)0x5e69, (q15_t)0x5e58,
+ (q15_t)0x5e47, (q15_t)0x5e36, (q15_t)0x5e25, (q15_t)0x5e14, (q15_t)0x5e03, (q15_t)0x5df2, (q15_t)0x5de1, (q15_t)0x5dd0,
+ (q15_t)0x5dbf, (q15_t)0x5dad, (q15_t)0x5d9c, (q15_t)0x5d8b, (q15_t)0x5d7a, (q15_t)0x5d69, (q15_t)0x5d58, (q15_t)0x5d46,
+ (q15_t)0x5d35, (q15_t)0x5d24, (q15_t)0x5d13, (q15_t)0x5d01, (q15_t)0x5cf0, (q15_t)0x5cdf, (q15_t)0x5cce, (q15_t)0x5cbc,
+ (q15_t)0x5cab, (q15_t)0x5c9a, (q15_t)0x5c88, (q15_t)0x5c77, (q15_t)0x5c66, (q15_t)0x5c54, (q15_t)0x5c43, (q15_t)0x5c31,
+ (q15_t)0x5c20, (q15_t)0x5c0e, (q15_t)0x5bfd, (q15_t)0x5beb, (q15_t)0x5bda, (q15_t)0x5bc8, (q15_t)0x5bb7, (q15_t)0x5ba5,
+ (q15_t)0x5b94, (q15_t)0x5b82, (q15_t)0x5b71, (q15_t)0x5b5f, (q15_t)0x5b4d, (q15_t)0x5b3c, (q15_t)0x5b2a, (q15_t)0x5b19,
+ (q15_t)0x5b07, (q15_t)0x5af5, (q15_t)0x5ae4, (q15_t)0x5ad2, (q15_t)0x5ac0, (q15_t)0x5aae, (q15_t)0x5a9d, (q15_t)0x5a8b,
+ (q15_t)0x5a79, (q15_t)0x5a67, (q15_t)0x5a56, (q15_t)0x5a44, (q15_t)0x5a32, (q15_t)0x5a20, (q15_t)0x5a0e, (q15_t)0x59fc,
+ (q15_t)0x59ea, (q15_t)0x59d9, (q15_t)0x59c7, (q15_t)0x59b5, (q15_t)0x59a3, (q15_t)0x5991, (q15_t)0x597f, (q15_t)0x596d,
+ (q15_t)0x595b, (q15_t)0x5949, (q15_t)0x5937, (q15_t)0x5925, (q15_t)0x5913, (q15_t)0x5901, (q15_t)0x58ef, (q15_t)0x58dd,
+ (q15_t)0x58cb, (q15_t)0x58b8, (q15_t)0x58a6, (q15_t)0x5894, (q15_t)0x5882, (q15_t)0x5870, (q15_t)0x585e, (q15_t)0x584b,
+ (q15_t)0x5839, (q15_t)0x5827, (q15_t)0x5815, (q15_t)0x5803, (q15_t)0x57f0, (q15_t)0x57de, (q15_t)0x57cc, (q15_t)0x57b9,
+ (q15_t)0x57a7, (q15_t)0x5795, (q15_t)0x5783, (q15_t)0x5770, (q15_t)0x575e, (q15_t)0x574b, (q15_t)0x5739, (q15_t)0x5727,
+ (q15_t)0x5714, (q15_t)0x5702, (q15_t)0x56ef, (q15_t)0x56dd, (q15_t)0x56ca, (q15_t)0x56b8, (q15_t)0x56a5, (q15_t)0x5693,
+ (q15_t)0x5680, (q15_t)0x566e, (q15_t)0x565b, (q15_t)0x5649, (q15_t)0x5636, (q15_t)0x5624, (q15_t)0x5611, (q15_t)0x55fe,
+ (q15_t)0x55ec, (q15_t)0x55d9, (q15_t)0x55c7, (q15_t)0x55b4, (q15_t)0x55a1, (q15_t)0x558f, (q15_t)0x557c, (q15_t)0x5569,
+ (q15_t)0x5556, (q15_t)0x5544, (q15_t)0x5531, (q15_t)0x551e, (q15_t)0x550b, (q15_t)0x54f9, (q15_t)0x54e6, (q15_t)0x54d3,
+ (q15_t)0x54c0, (q15_t)0x54ad, (q15_t)0x549a, (q15_t)0x5488, (q15_t)0x5475, (q15_t)0x5462, (q15_t)0x544f, (q15_t)0x543c,
+ (q15_t)0x5429, (q15_t)0x5416, (q15_t)0x5403, (q15_t)0x53f0, (q15_t)0x53dd, (q15_t)0x53ca, (q15_t)0x53b7, (q15_t)0x53a4,
+ (q15_t)0x5391, (q15_t)0x537e, (q15_t)0x536b, (q15_t)0x5358, (q15_t)0x5345, (q15_t)0x5332, (q15_t)0x531f, (q15_t)0x530c,
+ (q15_t)0x52f8, (q15_t)0x52e5, (q15_t)0x52d2, (q15_t)0x52bf, (q15_t)0x52ac, (q15_t)0x5299, (q15_t)0x5285, (q15_t)0x5272,
+ (q15_t)0x525f, (q15_t)0x524c, (q15_t)0x5238, (q15_t)0x5225, (q15_t)0x5212, (q15_t)0x51ff, (q15_t)0x51eb, (q15_t)0x51d8,
+ (q15_t)0x51c5, (q15_t)0x51b1, (q15_t)0x519e, (q15_t)0x518b, (q15_t)0x5177, (q15_t)0x5164, (q15_t)0x5150, (q15_t)0x513d,
+ (q15_t)0x512a, (q15_t)0x5116, (q15_t)0x5103, (q15_t)0x50ef, (q15_t)0x50dc, (q15_t)0x50c8, (q15_t)0x50b5, (q15_t)0x50a1,
+ (q15_t)0x508e, (q15_t)0x507a, (q15_t)0x5067, (q15_t)0x5053, (q15_t)0x503f, (q15_t)0x502c, (q15_t)0x5018, (q15_t)0x5005,
+ (q15_t)0x4ff1, (q15_t)0x4fdd, (q15_t)0x4fca, (q15_t)0x4fb6, (q15_t)0x4fa2, (q15_t)0x4f8f, (q15_t)0x4f7b, (q15_t)0x4f67,
+ (q15_t)0x4f54, (q15_t)0x4f40, (q15_t)0x4f2c, (q15_t)0x4f18, (q15_t)0x4f05, (q15_t)0x4ef1, (q15_t)0x4edd, (q15_t)0x4ec9,
+ (q15_t)0x4eb6, (q15_t)0x4ea2, (q15_t)0x4e8e, (q15_t)0x4e7a, (q15_t)0x4e66, (q15_t)0x4e52, (q15_t)0x4e3e, (q15_t)0x4e2a,
+ (q15_t)0x4e17, (q15_t)0x4e03, (q15_t)0x4def, (q15_t)0x4ddb, (q15_t)0x4dc7, (q15_t)0x4db3, (q15_t)0x4d9f, (q15_t)0x4d8b,
+ (q15_t)0x4d77, (q15_t)0x4d63, (q15_t)0x4d4f, (q15_t)0x4d3b, (q15_t)0x4d27, (q15_t)0x4d13, (q15_t)0x4cff, (q15_t)0x4ceb,
+ (q15_t)0x4cd6, (q15_t)0x4cc2, (q15_t)0x4cae, (q15_t)0x4c9a, (q15_t)0x4c86, (q15_t)0x4c72, (q15_t)0x4c5e, (q15_t)0x4c49,
+ (q15_t)0x4c35, (q15_t)0x4c21, (q15_t)0x4c0d, (q15_t)0x4bf9, (q15_t)0x4be4, (q15_t)0x4bd0, (q15_t)0x4bbc, (q15_t)0x4ba8,
+ (q15_t)0x4b93, (q15_t)0x4b7f, (q15_t)0x4b6b, (q15_t)0x4b56, (q15_t)0x4b42, (q15_t)0x4b2e, (q15_t)0x4b19, (q15_t)0x4b05,
+ (q15_t)0x4af1, (q15_t)0x4adc, (q15_t)0x4ac8, (q15_t)0x4ab4, (q15_t)0x4a9f, (q15_t)0x4a8b, (q15_t)0x4a76, (q15_t)0x4a62,
+ (q15_t)0x4a4d, (q15_t)0x4a39, (q15_t)0x4a24, (q15_t)0x4a10, (q15_t)0x49fb, (q15_t)0x49e7, (q15_t)0x49d2, (q15_t)0x49be,
+ (q15_t)0x49a9, (q15_t)0x4995, (q15_t)0x4980, (q15_t)0x496c, (q15_t)0x4957, (q15_t)0x4942, (q15_t)0x492e, (q15_t)0x4919,
+ (q15_t)0x4905, (q15_t)0x48f0, (q15_t)0x48db, (q15_t)0x48c7, (q15_t)0x48b2, (q15_t)0x489d, (q15_t)0x4888, (q15_t)0x4874,
+ (q15_t)0x485f, (q15_t)0x484a, (q15_t)0x4836, (q15_t)0x4821, (q15_t)0x480c, (q15_t)0x47f7, (q15_t)0x47e2, (q15_t)0x47ce,
+ (q15_t)0x47b9, (q15_t)0x47a4, (q15_t)0x478f, (q15_t)0x477a, (q15_t)0x4765, (q15_t)0x4751, (q15_t)0x473c, (q15_t)0x4727,
+ (q15_t)0x4712, (q15_t)0x46fd, (q15_t)0x46e8, (q15_t)0x46d3, (q15_t)0x46be, (q15_t)0x46a9, (q15_t)0x4694, (q15_t)0x467f,
+ (q15_t)0x466a, (q15_t)0x4655, (q15_t)0x4640, (q15_t)0x462b, (q15_t)0x4616, (q15_t)0x4601, (q15_t)0x45ec, (q15_t)0x45d7,
+ (q15_t)0x45c2, (q15_t)0x45ad, (q15_t)0x4598, (q15_t)0x4583, (q15_t)0x456e, (q15_t)0x4559, (q15_t)0x4544, (q15_t)0x452e,
+ (q15_t)0x4519, (q15_t)0x4504, (q15_t)0x44ef, (q15_t)0x44da, (q15_t)0x44c5, (q15_t)0x44af, (q15_t)0x449a, (q15_t)0x4485,
+ (q15_t)0x4470, (q15_t)0x445a, (q15_t)0x4445, (q15_t)0x4430, (q15_t)0x441b, (q15_t)0x4405, (q15_t)0x43f0, (q15_t)0x43db,
+ (q15_t)0x43c5, (q15_t)0x43b0, (q15_t)0x439b, (q15_t)0x4385, (q15_t)0x4370, (q15_t)0x435b, (q15_t)0x4345, (q15_t)0x4330,
+ (q15_t)0x431b, (q15_t)0x4305, (q15_t)0x42f0, (q15_t)0x42da, (q15_t)0x42c5, (q15_t)0x42af, (q15_t)0x429a, (q15_t)0x4284,
+ (q15_t)0x426f, (q15_t)0x425a, (q15_t)0x4244, (q15_t)0x422f, (q15_t)0x4219, (q15_t)0x4203, (q15_t)0x41ee, (q15_t)0x41d8,
+ (q15_t)0x41c3, (q15_t)0x41ad, (q15_t)0x4198, (q15_t)0x4182, (q15_t)0x416d, (q15_t)0x4157, (q15_t)0x4141, (q15_t)0x412c,
+ (q15_t)0x4116, (q15_t)0x4100, (q15_t)0x40eb, (q15_t)0x40d5, (q15_t)0x40bf, (q15_t)0x40aa, (q15_t)0x4094, (q15_t)0x407e,
+ (q15_t)0x4069, (q15_t)0x4053, (q15_t)0x403d, (q15_t)0x4027, (q15_t)0x4012, (q15_t)0x3ffc, (q15_t)0x3fe6, (q15_t)0x3fd0,
+ (q15_t)0x3fbb, (q15_t)0x3fa5, (q15_t)0x3f8f, (q15_t)0x3f79, (q15_t)0x3f63, (q15_t)0x3f4d, (q15_t)0x3f38, (q15_t)0x3f22,
+ (q15_t)0x3f0c, (q15_t)0x3ef6, (q15_t)0x3ee0, (q15_t)0x3eca, (q15_t)0x3eb4, (q15_t)0x3e9e, (q15_t)0x3e88, (q15_t)0x3e73,
+ (q15_t)0x3e5d, (q15_t)0x3e47, (q15_t)0x3e31, (q15_t)0x3e1b, (q15_t)0x3e05, (q15_t)0x3def, (q15_t)0x3dd9, (q15_t)0x3dc3,
+ (q15_t)0x3dad, (q15_t)0x3d97, (q15_t)0x3d81, (q15_t)0x3d6b, (q15_t)0x3d55, (q15_t)0x3d3e, (q15_t)0x3d28, (q15_t)0x3d12,
+ (q15_t)0x3cfc, (q15_t)0x3ce6, (q15_t)0x3cd0, (q15_t)0x3cba, (q15_t)0x3ca4, (q15_t)0x3c8e, (q15_t)0x3c77, (q15_t)0x3c61,
+ (q15_t)0x3c4b, (q15_t)0x3c35, (q15_t)0x3c1f, (q15_t)0x3c09, (q15_t)0x3bf2, (q15_t)0x3bdc, (q15_t)0x3bc6, (q15_t)0x3bb0,
+ (q15_t)0x3b99, (q15_t)0x3b83, (q15_t)0x3b6d, (q15_t)0x3b57, (q15_t)0x3b40, (q15_t)0x3b2a, (q15_t)0x3b14, (q15_t)0x3afe,
+ (q15_t)0x3ae7, (q15_t)0x3ad1, (q15_t)0x3abb, (q15_t)0x3aa4, (q15_t)0x3a8e, (q15_t)0x3a78, (q15_t)0x3a61, (q15_t)0x3a4b,
+ (q15_t)0x3a34, (q15_t)0x3a1e, (q15_t)0x3a08, (q15_t)0x39f1, (q15_t)0x39db, (q15_t)0x39c4, (q15_t)0x39ae, (q15_t)0x3998,
+ (q15_t)0x3981, (q15_t)0x396b, (q15_t)0x3954, (q15_t)0x393e, (q15_t)0x3927, (q15_t)0x3911, (q15_t)0x38fa, (q15_t)0x38e4,
+ (q15_t)0x38cd, (q15_t)0x38b7, (q15_t)0x38a0, (q15_t)0x388a, (q15_t)0x3873, (q15_t)0x385d, (q15_t)0x3846, (q15_t)0x382f,
+ (q15_t)0x3819, (q15_t)0x3802, (q15_t)0x37ec, (q15_t)0x37d5, (q15_t)0x37be, (q15_t)0x37a8, (q15_t)0x3791, (q15_t)0x377a,
+ (q15_t)0x3764, (q15_t)0x374d, (q15_t)0x3736, (q15_t)0x3720, (q15_t)0x3709, (q15_t)0x36f2, (q15_t)0x36dc, (q15_t)0x36c5,
+ (q15_t)0x36ae, (q15_t)0x3698, (q15_t)0x3681, (q15_t)0x366a, (q15_t)0x3653, (q15_t)0x363d, (q15_t)0x3626, (q15_t)0x360f,
+ (q15_t)0x35f8, (q15_t)0x35e1, (q15_t)0x35cb, (q15_t)0x35b4, (q15_t)0x359d, (q15_t)0x3586, (q15_t)0x356f, (q15_t)0x3558,
+ (q15_t)0x3542, (q15_t)0x352b, (q15_t)0x3514, (q15_t)0x34fd, (q15_t)0x34e6, (q15_t)0x34cf, (q15_t)0x34b8, (q15_t)0x34a1,
+ (q15_t)0x348b, (q15_t)0x3474, (q15_t)0x345d, (q15_t)0x3446, (q15_t)0x342f, (q15_t)0x3418, (q15_t)0x3401, (q15_t)0x33ea,
+ (q15_t)0x33d3, (q15_t)0x33bc, (q15_t)0x33a5, (q15_t)0x338e, (q15_t)0x3377, (q15_t)0x3360, (q15_t)0x3349, (q15_t)0x3332,
+ (q15_t)0x331b, (q15_t)0x3304, (q15_t)0x32ed, (q15_t)0x32d6, (q15_t)0x32bf, (q15_t)0x32a8, (q15_t)0x3290, (q15_t)0x3279,
+ (q15_t)0x3262, (q15_t)0x324b, (q15_t)0x3234, (q15_t)0x321d, (q15_t)0x3206, (q15_t)0x31ef, (q15_t)0x31d8, (q15_t)0x31c0,
+ (q15_t)0x31a9, (q15_t)0x3192, (q15_t)0x317b, (q15_t)0x3164, (q15_t)0x314c, (q15_t)0x3135, (q15_t)0x311e, (q15_t)0x3107,
+ (q15_t)0x30f0, (q15_t)0x30d8, (q15_t)0x30c1, (q15_t)0x30aa, (q15_t)0x3093, (q15_t)0x307b, (q15_t)0x3064, (q15_t)0x304d,
+ (q15_t)0x3036, (q15_t)0x301e, (q15_t)0x3007, (q15_t)0x2ff0, (q15_t)0x2fd8, (q15_t)0x2fc1, (q15_t)0x2faa, (q15_t)0x2f92,
+ (q15_t)0x2f7b, (q15_t)0x2f64, (q15_t)0x2f4c, (q15_t)0x2f35, (q15_t)0x2f1e, (q15_t)0x2f06, (q15_t)0x2eef, (q15_t)0x2ed8,
+ (q15_t)0x2ec0, (q15_t)0x2ea9, (q15_t)0x2e91, (q15_t)0x2e7a, (q15_t)0x2e63, (q15_t)0x2e4b, (q15_t)0x2e34, (q15_t)0x2e1c,
+ (q15_t)0x2e05, (q15_t)0x2ded, (q15_t)0x2dd6, (q15_t)0x2dbe, (q15_t)0x2da7, (q15_t)0x2d8f, (q15_t)0x2d78, (q15_t)0x2d60,
+ (q15_t)0x2d49, (q15_t)0x2d31, (q15_t)0x2d1a, (q15_t)0x2d02, (q15_t)0x2ceb, (q15_t)0x2cd3, (q15_t)0x2cbc, (q15_t)0x2ca4,
+ (q15_t)0x2c8d, (q15_t)0x2c75, (q15_t)0x2c5e, (q15_t)0x2c46, (q15_t)0x2c2e, (q15_t)0x2c17, (q15_t)0x2bff, (q15_t)0x2be8,
+ (q15_t)0x2bd0, (q15_t)0x2bb8, (q15_t)0x2ba1, (q15_t)0x2b89, (q15_t)0x2b71, (q15_t)0x2b5a, (q15_t)0x2b42, (q15_t)0x2b2b,
+ (q15_t)0x2b13, (q15_t)0x2afb, (q15_t)0x2ae4, (q15_t)0x2acc, (q15_t)0x2ab4, (q15_t)0x2a9c, (q15_t)0x2a85, (q15_t)0x2a6d,
+ (q15_t)0x2a55, (q15_t)0x2a3e, (q15_t)0x2a26, (q15_t)0x2a0e, (q15_t)0x29f6, (q15_t)0x29df, (q15_t)0x29c7, (q15_t)0x29af,
+ (q15_t)0x2997, (q15_t)0x2980, (q15_t)0x2968, (q15_t)0x2950, (q15_t)0x2938, (q15_t)0x2920, (q15_t)0x2909, (q15_t)0x28f1,
+ (q15_t)0x28d9, (q15_t)0x28c1, (q15_t)0x28a9, (q15_t)0x2892, (q15_t)0x287a, (q15_t)0x2862, (q15_t)0x284a, (q15_t)0x2832,
+ (q15_t)0x281a, (q15_t)0x2802, (q15_t)0x27eb, (q15_t)0x27d3, (q15_t)0x27bb, (q15_t)0x27a3, (q15_t)0x278b, (q15_t)0x2773,
+ (q15_t)0x275b, (q15_t)0x2743, (q15_t)0x272b, (q15_t)0x2713, (q15_t)0x26fb, (q15_t)0x26e4, (q15_t)0x26cc, (q15_t)0x26b4,
+ (q15_t)0x269c, (q15_t)0x2684, (q15_t)0x266c, (q15_t)0x2654, (q15_t)0x263c, (q15_t)0x2624, (q15_t)0x260c, (q15_t)0x25f4,
+ (q15_t)0x25dc, (q15_t)0x25c4, (q15_t)0x25ac, (q15_t)0x2594, (q15_t)0x257c, (q15_t)0x2564, (q15_t)0x254c, (q15_t)0x2534,
+ (q15_t)0x251c, (q15_t)0x2503, (q15_t)0x24eb, (q15_t)0x24d3, (q15_t)0x24bb, (q15_t)0x24a3, (q15_t)0x248b, (q15_t)0x2473,
+ (q15_t)0x245b, (q15_t)0x2443, (q15_t)0x242b, (q15_t)0x2413, (q15_t)0x23fa, (q15_t)0x23e2, (q15_t)0x23ca, (q15_t)0x23b2,
+ (q15_t)0x239a, (q15_t)0x2382, (q15_t)0x236a, (q15_t)0x2352, (q15_t)0x2339, (q15_t)0x2321, (q15_t)0x2309, (q15_t)0x22f1,
+ (q15_t)0x22d9, (q15_t)0x22c0, (q15_t)0x22a8, (q15_t)0x2290, (q15_t)0x2278, (q15_t)0x2260, (q15_t)0x2247, (q15_t)0x222f,
+ (q15_t)0x2217, (q15_t)0x21ff, (q15_t)0x21e7, (q15_t)0x21ce, (q15_t)0x21b6, (q15_t)0x219e, (q15_t)0x2186, (q15_t)0x216d,
+ (q15_t)0x2155, (q15_t)0x213d, (q15_t)0x2125, (q15_t)0x210c, (q15_t)0x20f4, (q15_t)0x20dc, (q15_t)0x20c3, (q15_t)0x20ab,
+ (q15_t)0x2093, (q15_t)0x207a, (q15_t)0x2062, (q15_t)0x204a, (q15_t)0x2032, (q15_t)0x2019, (q15_t)0x2001, (q15_t)0x1fe9,
+ (q15_t)0x1fd0, (q15_t)0x1fb8, (q15_t)0x1f9f, (q15_t)0x1f87, (q15_t)0x1f6f, (q15_t)0x1f56, (q15_t)0x1f3e, (q15_t)0x1f26,
+ (q15_t)0x1f0d, (q15_t)0x1ef5, (q15_t)0x1edd, (q15_t)0x1ec4, (q15_t)0x1eac, (q15_t)0x1e93, (q15_t)0x1e7b, (q15_t)0x1e62,
+ (q15_t)0x1e4a, (q15_t)0x1e32, (q15_t)0x1e19, (q15_t)0x1e01, (q15_t)0x1de8, (q15_t)0x1dd0, (q15_t)0x1db7, (q15_t)0x1d9f,
+ (q15_t)0x1d87, (q15_t)0x1d6e, (q15_t)0x1d56, (q15_t)0x1d3d, (q15_t)0x1d25, (q15_t)0x1d0c, (q15_t)0x1cf4, (q15_t)0x1cdb,
+ (q15_t)0x1cc3, (q15_t)0x1caa, (q15_t)0x1c92, (q15_t)0x1c79, (q15_t)0x1c61, (q15_t)0x1c48, (q15_t)0x1c30, (q15_t)0x1c17,
+ (q15_t)0x1bff, (q15_t)0x1be6, (q15_t)0x1bce, (q15_t)0x1bb5, (q15_t)0x1b9d, (q15_t)0x1b84, (q15_t)0x1b6c, (q15_t)0x1b53,
+ (q15_t)0x1b3a, (q15_t)0x1b22, (q15_t)0x1b09, (q15_t)0x1af1, (q15_t)0x1ad8, (q15_t)0x1ac0, (q15_t)0x1aa7, (q15_t)0x1a8e,
+ (q15_t)0x1a76, (q15_t)0x1a5d, (q15_t)0x1a45, (q15_t)0x1a2c, (q15_t)0x1a13, (q15_t)0x19fb, (q15_t)0x19e2, (q15_t)0x19ca,
+ (q15_t)0x19b1, (q15_t)0x1998, (q15_t)0x1980, (q15_t)0x1967, (q15_t)0x194e, (q15_t)0x1936, (q15_t)0x191d, (q15_t)0x1905,
+ (q15_t)0x18ec, (q15_t)0x18d3, (q15_t)0x18bb, (q15_t)0x18a2, (q15_t)0x1889, (q15_t)0x1871, (q15_t)0x1858, (q15_t)0x183f,
+ (q15_t)0x1827, (q15_t)0x180e, (q15_t)0x17f5, (q15_t)0x17dd, (q15_t)0x17c4, (q15_t)0x17ab, (q15_t)0x1792, (q15_t)0x177a,
+ (q15_t)0x1761, (q15_t)0x1748, (q15_t)0x1730, (q15_t)0x1717, (q15_t)0x16fe, (q15_t)0x16e5, (q15_t)0x16cd, (q15_t)0x16b4,
+ (q15_t)0x169b, (q15_t)0x1682, (q15_t)0x166a, (q15_t)0x1651, (q15_t)0x1638, (q15_t)0x161f, (q15_t)0x1607, (q15_t)0x15ee,
+ (q15_t)0x15d5, (q15_t)0x15bc, (q15_t)0x15a4, (q15_t)0x158b, (q15_t)0x1572, (q15_t)0x1559, (q15_t)0x1541, (q15_t)0x1528,
+ (q15_t)0x150f, (q15_t)0x14f6, (q15_t)0x14dd, (q15_t)0x14c5, (q15_t)0x14ac, (q15_t)0x1493, (q15_t)0x147a, (q15_t)0x1461,
+ (q15_t)0x1449, (q15_t)0x1430, (q15_t)0x1417, (q15_t)0x13fe, (q15_t)0x13e5, (q15_t)0x13cc, (q15_t)0x13b4, (q15_t)0x139b,
+ (q15_t)0x1382, (q15_t)0x1369, (q15_t)0x1350, (q15_t)0x1337, (q15_t)0x131f, (q15_t)0x1306, (q15_t)0x12ed, (q15_t)0x12d4,
+ (q15_t)0x12bb, (q15_t)0x12a2, (q15_t)0x1289, (q15_t)0x1271, (q15_t)0x1258, (q15_t)0x123f, (q15_t)0x1226, (q15_t)0x120d,
+ (q15_t)0x11f4, (q15_t)0x11db, (q15_t)0x11c2, (q15_t)0x11a9, (q15_t)0x1191, (q15_t)0x1178, (q15_t)0x115f, (q15_t)0x1146,
+ (q15_t)0x112d, (q15_t)0x1114, (q15_t)0x10fb, (q15_t)0x10e2, (q15_t)0x10c9, (q15_t)0x10b0, (q15_t)0x1098, (q15_t)0x107f,
+ (q15_t)0x1066, (q15_t)0x104d, (q15_t)0x1034, (q15_t)0x101b, (q15_t)0x1002, (q15_t)0xfe9, (q15_t)0xfd0, (q15_t)0xfb7,
+ (q15_t)0xf9e, (q15_t)0xf85, (q15_t)0xf6c, (q15_t)0xf53, (q15_t)0xf3a, (q15_t)0xf21, (q15_t)0xf08, (q15_t)0xef0,
+ (q15_t)0xed7, (q15_t)0xebe, (q15_t)0xea5, (q15_t)0xe8c, (q15_t)0xe73, (q15_t)0xe5a, (q15_t)0xe41, (q15_t)0xe28,
+ (q15_t)0xe0f, (q15_t)0xdf6, (q15_t)0xddd, (q15_t)0xdc4, (q15_t)0xdab, (q15_t)0xd92, (q15_t)0xd79, (q15_t)0xd60,
+ (q15_t)0xd47, (q15_t)0xd2e, (q15_t)0xd15, (q15_t)0xcfc, (q15_t)0xce3, (q15_t)0xcca, (q15_t)0xcb1, (q15_t)0xc98,
+ (q15_t)0xc7f, (q15_t)0xc66, (q15_t)0xc4d, (q15_t)0xc34, (q15_t)0xc1b, (q15_t)0xc02, (q15_t)0xbe9, (q15_t)0xbd0,
+ (q15_t)0xbb7, (q15_t)0xb9e, (q15_t)0xb85, (q15_t)0xb6c, (q15_t)0xb53, (q15_t)0xb3a, (q15_t)0xb20, (q15_t)0xb07,
+ (q15_t)0xaee, (q15_t)0xad5, (q15_t)0xabc, (q15_t)0xaa3, (q15_t)0xa8a, (q15_t)0xa71, (q15_t)0xa58, (q15_t)0xa3f,
+ (q15_t)0xa26, (q15_t)0xa0d, (q15_t)0x9f4, (q15_t)0x9db, (q15_t)0x9c2, (q15_t)0x9a9, (q15_t)0x990, (q15_t)0x977,
+ (q15_t)0x95e, (q15_t)0x944, (q15_t)0x92b, (q15_t)0x912, (q15_t)0x8f9, (q15_t)0x8e0, (q15_t)0x8c7, (q15_t)0x8ae,
+ (q15_t)0x895, (q15_t)0x87c, (q15_t)0x863, (q15_t)0x84a, (q15_t)0x831, (q15_t)0x818, (q15_t)0x7fe, (q15_t)0x7e5,
+ (q15_t)0x7cc, (q15_t)0x7b3, (q15_t)0x79a, (q15_t)0x781, (q15_t)0x768, (q15_t)0x74f, (q15_t)0x736, (q15_t)0x71d,
+ (q15_t)0x704, (q15_t)0x6ea, (q15_t)0x6d1, (q15_t)0x6b8, (q15_t)0x69f, (q15_t)0x686, (q15_t)0x66d, (q15_t)0x654,
+ (q15_t)0x63b, (q15_t)0x622, (q15_t)0x609, (q15_t)0x5ef, (q15_t)0x5d6, (q15_t)0x5bd, (q15_t)0x5a4, (q15_t)0x58b,
+ (q15_t)0x572, (q15_t)0x559, (q15_t)0x540, (q15_t)0x527, (q15_t)0x50d, (q15_t)0x4f4, (q15_t)0x4db, (q15_t)0x4c2,
+ (q15_t)0x4a9, (q15_t)0x490, (q15_t)0x477, (q15_t)0x45e, (q15_t)0x445, (q15_t)0x42b, (q15_t)0x412, (q15_t)0x3f9,
+ (q15_t)0x3e0, (q15_t)0x3c7, (q15_t)0x3ae, (q15_t)0x395, (q15_t)0x37c, (q15_t)0x362, (q15_t)0x349, (q15_t)0x330,
+ (q15_t)0x317, (q15_t)0x2fe, (q15_t)0x2e5, (q15_t)0x2cc, (q15_t)0x2b3, (q15_t)0x299, (q15_t)0x280, (q15_t)0x267,
+ (q15_t)0x24e, (q15_t)0x235, (q15_t)0x21c, (q15_t)0x203, (q15_t)0x1ea, (q15_t)0x1d0, (q15_t)0x1b7, (q15_t)0x19e,
+ (q15_t)0x185, (q15_t)0x16c, (q15_t)0x153, (q15_t)0x13a, (q15_t)0x121, (q15_t)0x107, (q15_t)0xee, (q15_t)0xd5,
+ (q15_t)0xbc, (q15_t)0xa3, (q15_t)0x8a, (q15_t)0x71, (q15_t)0x57, (q15_t)0x3e, (q15_t)0x25, (q15_t)0xc
+
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
+ const q15_t __ALIGNED(4) WeightsQ15_8192[16384] = {
+ (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfffa, (q15_t)0x7fff, (q15_t)0xfff4, (q15_t)0x7fff, (q15_t)0xffee,
+ (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffe1, (q15_t)0x7fff, (q15_t)0xffdb, (q15_t)0x7fff, (q15_t)0xffd5,
+ (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc8, (q15_t)0x7fff, (q15_t)0xffc2, (q15_t)0x7fff, (q15_t)0xffbb,
+ (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffaf, (q15_t)0x7fff, (q15_t)0xffa9, (q15_t)0x7fff, (q15_t)0xffa2,
+ (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff96, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff89,
+ (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff7d, (q15_t)0x7fff, (q15_t)0xff76, (q15_t)0x7fff, (q15_t)0xff70,
+ (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff63, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff57,
+ (q15_t)0x7fff, (q15_t)0xff51, (q15_t)0x7fff, (q15_t)0xff4a, (q15_t)0x7fff, (q15_t)0xff44, (q15_t)0x7fff, (q15_t)0xff3e,
+ (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff31, (q15_t)0x7fff, (q15_t)0xff2b, (q15_t)0x7fff, (q15_t)0xff25,
+ (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff18, (q15_t)0x7fff, (q15_t)0xff12, (q15_t)0x7fff, (q15_t)0xff0b,
+ (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeff, (q15_t)0x7ffe, (q15_t)0xfef9, (q15_t)0x7ffe, (q15_t)0xfef2,
+ (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffe, (q15_t)0xfee6, (q15_t)0x7ffe, (q15_t)0xfedf, (q15_t)0x7ffe, (q15_t)0xfed9,
+ (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfecd, (q15_t)0x7ffe, (q15_t)0xfec6, (q15_t)0x7ffe, (q15_t)0xfec0,
+ (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfeb3, (q15_t)0x7ffe, (q15_t)0xfead, (q15_t)0x7ffe, (q15_t)0xfea7,
+ (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffe, (q15_t)0xfe9a, (q15_t)0x7ffd, (q15_t)0xfe94, (q15_t)0x7ffd, (q15_t)0xfe8e,
+ (q15_t)0x7ffd, (q15_t)0xfe88, (q15_t)0x7ffd, (q15_t)0xfe81, (q15_t)0x7ffd, (q15_t)0xfe7b, (q15_t)0x7ffd, (q15_t)0xfe75,
+ (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe68, (q15_t)0x7ffd, (q15_t)0xfe62, (q15_t)0x7ffd, (q15_t)0xfe5c,
+ (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffd, (q15_t)0xfe4f, (q15_t)0x7ffd, (q15_t)0xfe49, (q15_t)0x7ffc, (q15_t)0xfe42,
+ (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe36, (q15_t)0x7ffc, (q15_t)0xfe30, (q15_t)0x7ffc, (q15_t)0xfe29,
+ (q15_t)0x7ffc, (q15_t)0xfe23, (q15_t)0x7ffc, (q15_t)0xfe1d, (q15_t)0x7ffc, (q15_t)0xfe16, (q15_t)0x7ffc, (q15_t)0xfe10,
+ (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffc, (q15_t)0xfe04, (q15_t)0x7ffb, (q15_t)0xfdfd, (q15_t)0x7ffb, (q15_t)0xfdf7,
+ (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdea, (q15_t)0x7ffb, (q15_t)0xfde4, (q15_t)0x7ffb, (q15_t)0xfdde,
+ (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffb, (q15_t)0xfdd1, (q15_t)0x7ffb, (q15_t)0xfdcb, (q15_t)0x7ffb, (q15_t)0xfdc5,
+ (q15_t)0x7ffa, (q15_t)0xfdbe, (q15_t)0x7ffa, (q15_t)0xfdb8, (q15_t)0x7ffa, (q15_t)0xfdb2, (q15_t)0x7ffa, (q15_t)0xfdac,
+ (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ffa, (q15_t)0xfd9f, (q15_t)0x7ffa, (q15_t)0xfd99, (q15_t)0x7ffa, (q15_t)0xfd93,
+ (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd86, (q15_t)0x7ff9, (q15_t)0xfd80, (q15_t)0x7ff9, (q15_t)0xfd79,
+ (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff9, (q15_t)0xfd6d, (q15_t)0x7ff9, (q15_t)0xfd67, (q15_t)0x7ff9, (q15_t)0xfd60,
+ (q15_t)0x7ff8, (q15_t)0xfd5a, (q15_t)0x7ff8, (q15_t)0xfd54, (q15_t)0x7ff8, (q15_t)0xfd4d, (q15_t)0x7ff8, (q15_t)0xfd47,
+ (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff8, (q15_t)0xfd3b, (q15_t)0x7ff8, (q15_t)0xfd34, (q15_t)0x7ff8, (q15_t)0xfd2e,
+ (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd21, (q15_t)0x7ff7, (q15_t)0xfd1b, (q15_t)0x7ff7, (q15_t)0xfd15,
+ (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff7, (q15_t)0xfd08, (q15_t)0x7ff7, (q15_t)0xfd02, (q15_t)0x7ff6, (q15_t)0xfcfc,
+ (q15_t)0x7ff6, (q15_t)0xfcf5, (q15_t)0x7ff6, (q15_t)0xfcef, (q15_t)0x7ff6, (q15_t)0xfce9, (q15_t)0x7ff6, (q15_t)0xfce3,
+ (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcd6, (q15_t)0x7ff5, (q15_t)0xfcd0, (q15_t)0x7ff5, (q15_t)0xfcc9,
+ (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff5, (q15_t)0xfcbd, (q15_t)0x7ff5, (q15_t)0xfcb7, (q15_t)0x7ff5, (q15_t)0xfcb0,
+ (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfca4, (q15_t)0x7ff4, (q15_t)0xfc9e, (q15_t)0x7ff4, (q15_t)0xfc97,
+ (q15_t)0x7ff4, (q15_t)0xfc91, (q15_t)0x7ff4, (q15_t)0xfc8b, (q15_t)0x7ff3, (q15_t)0xfc84, (q15_t)0x7ff3, (q15_t)0xfc7e,
+ (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff3, (q15_t)0xfc72, (q15_t)0x7ff3, (q15_t)0xfc6b, (q15_t)0x7ff2, (q15_t)0xfc65,
+ (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc58, (q15_t)0x7ff2, (q15_t)0xfc52, (q15_t)0x7ff2, (q15_t)0xfc4c,
+ (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc3f, (q15_t)0x7ff1, (q15_t)0xfc39, (q15_t)0x7ff1, (q15_t)0xfc33,
+ (q15_t)0x7ff1, (q15_t)0xfc2c, (q15_t)0x7ff1, (q15_t)0xfc26, (q15_t)0x7ff0, (q15_t)0xfc20, (q15_t)0x7ff0, (q15_t)0xfc1a,
+ (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7ff0, (q15_t)0xfc0d, (q15_t)0x7ff0, (q15_t)0xfc07, (q15_t)0x7fef, (q15_t)0xfc01,
+ (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fef, (q15_t)0xfbf4, (q15_t)0x7fef, (q15_t)0xfbee, (q15_t)0x7fef, (q15_t)0xfbe7,
+ (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbdb, (q15_t)0x7fee, (q15_t)0xfbd5, (q15_t)0x7fee, (q15_t)0xfbce,
+ (q15_t)0x7fee, (q15_t)0xfbc8, (q15_t)0x7fed, (q15_t)0xfbc2, (q15_t)0x7fed, (q15_t)0xfbbb, (q15_t)0x7fed, (q15_t)0xfbb5,
+ (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fed, (q15_t)0xfba9, (q15_t)0x7fec, (q15_t)0xfba2, (q15_t)0x7fec, (q15_t)0xfb9c,
+ (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7fec, (q15_t)0xfb8f, (q15_t)0x7fec, (q15_t)0xfb89, (q15_t)0x7feb, (q15_t)0xfb83,
+ (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7feb, (q15_t)0xfb76, (q15_t)0x7feb, (q15_t)0xfb70, (q15_t)0x7fea, (q15_t)0xfb6a,
+ (q15_t)0x7fea, (q15_t)0xfb64, (q15_t)0x7fea, (q15_t)0xfb5d, (q15_t)0x7fea, (q15_t)0xfb57, (q15_t)0x7fea, (q15_t)0xfb51,
+ (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe9, (q15_t)0xfb44, (q15_t)0x7fe9, (q15_t)0xfb3e, (q15_t)0x7fe9, (q15_t)0xfb38,
+ (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe8, (q15_t)0xfb2b, (q15_t)0x7fe8, (q15_t)0xfb25, (q15_t)0x7fe8, (q15_t)0xfb1e,
+ (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe7, (q15_t)0xfb12, (q15_t)0x7fe7, (q15_t)0xfb0c, (q15_t)0x7fe7, (q15_t)0xfb05,
+ (q15_t)0x7fe6, (q15_t)0xfaff, (q15_t)0x7fe6, (q15_t)0xfaf9, (q15_t)0x7fe6, (q15_t)0xfaf3, (q15_t)0x7fe6, (q15_t)0xfaec,
+ (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe5, (q15_t)0xfae0, (q15_t)0x7fe5, (q15_t)0xfad9, (q15_t)0x7fe5, (q15_t)0xfad3,
+ (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe4, (q15_t)0xfac7, (q15_t)0x7fe4, (q15_t)0xfac0, (q15_t)0x7fe4, (q15_t)0xfaba,
+ (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe3, (q15_t)0xfaad, (q15_t)0x7fe3, (q15_t)0xfaa7, (q15_t)0x7fe3, (q15_t)0xfaa1,
+ (q15_t)0x7fe2, (q15_t)0xfa9b, (q15_t)0x7fe2, (q15_t)0xfa94, (q15_t)0x7fe2, (q15_t)0xfa8e, (q15_t)0x7fe2, (q15_t)0xfa88,
+ (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe1, (q15_t)0xfa7b, (q15_t)0x7fe1, (q15_t)0xfa75, (q15_t)0x7fe0, (q15_t)0xfa6f,
+ (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fe0, (q15_t)0xfa62, (q15_t)0x7fe0, (q15_t)0xfa5c, (q15_t)0x7fdf, (q15_t)0xfa56,
+ (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fdf, (q15_t)0xfa49, (q15_t)0x7fdf, (q15_t)0xfa43, (q15_t)0x7fde, (q15_t)0xfa3c,
+ (q15_t)0x7fde, (q15_t)0xfa36, (q15_t)0x7fde, (q15_t)0xfa30, (q15_t)0x7fdd, (q15_t)0xfa2a, (q15_t)0x7fdd, (q15_t)0xfa23,
+ (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdd, (q15_t)0xfa17, (q15_t)0x7fdc, (q15_t)0xfa11, (q15_t)0x7fdc, (q15_t)0xfa0a,
+ (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fdb, (q15_t)0xf9fe, (q15_t)0x7fdb, (q15_t)0xf9f7, (q15_t)0x7fdb, (q15_t)0xf9f1,
+ (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fda, (q15_t)0xf9e5, (q15_t)0x7fda, (q15_t)0xf9de, (q15_t)0x7fda, (q15_t)0xf9d8,
+ (q15_t)0x7fd9, (q15_t)0xf9d2, (q15_t)0x7fd9, (q15_t)0xf9cb, (q15_t)0x7fd9, (q15_t)0xf9c5, (q15_t)0x7fd8, (q15_t)0xf9bf,
+ (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd8, (q15_t)0xf9b2, (q15_t)0x7fd7, (q15_t)0xf9ac, (q15_t)0x7fd7, (q15_t)0xf9a6,
+ (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf999, (q15_t)0x7fd6, (q15_t)0xf993, (q15_t)0x7fd6, (q15_t)0xf98d,
+ (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd5, (q15_t)0xf980, (q15_t)0x7fd5, (q15_t)0xf97a, (q15_t)0x7fd5, (q15_t)0xf974,
+ (q15_t)0x7fd4, (q15_t)0xf96d, (q15_t)0x7fd4, (q15_t)0xf967, (q15_t)0x7fd4, (q15_t)0xf961, (q15_t)0x7fd3, (q15_t)0xf95b,
+ (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd3, (q15_t)0xf94e, (q15_t)0x7fd2, (q15_t)0xf948, (q15_t)0x7fd2, (q15_t)0xf941,
+ (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd1, (q15_t)0xf935, (q15_t)0x7fd1, (q15_t)0xf92f, (q15_t)0x7fd1, (q15_t)0xf928,
+ (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fd0, (q15_t)0xf91c, (q15_t)0x7fd0, (q15_t)0xf916, (q15_t)0x7fcf, (q15_t)0xf90f,
+ (q15_t)0x7fcf, (q15_t)0xf909, (q15_t)0x7fcf, (q15_t)0xf903, (q15_t)0x7fce, (q15_t)0xf8fc, (q15_t)0x7fce, (q15_t)0xf8f6,
+ (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcd, (q15_t)0xf8ea, (q15_t)0x7fcd, (q15_t)0xf8e3, (q15_t)0x7fcd, (q15_t)0xf8dd,
+ (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcc, (q15_t)0xf8d0, (q15_t)0x7fcb, (q15_t)0xf8ca, (q15_t)0x7fcb, (q15_t)0xf8c4,
+ (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fca, (q15_t)0xf8b7, (q15_t)0x7fca, (q15_t)0xf8b1, (q15_t)0x7fca, (q15_t)0xf8ab,
+ (q15_t)0x7fc9, (q15_t)0xf8a5, (q15_t)0x7fc9, (q15_t)0xf89e, (q15_t)0x7fc9, (q15_t)0xf898, (q15_t)0x7fc8, (q15_t)0xf892,
+ (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc7, (q15_t)0xf885, (q15_t)0x7fc7, (q15_t)0xf87f, (q15_t)0x7fc7, (q15_t)0xf879,
+ (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc6, (q15_t)0xf86c, (q15_t)0x7fc6, (q15_t)0xf866, (q15_t)0x7fc5, (q15_t)0xf860,
+ (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc5, (q15_t)0xf853, (q15_t)0x7fc4, (q15_t)0xf84d, (q15_t)0x7fc4, (q15_t)0xf846,
+ (q15_t)0x7fc3, (q15_t)0xf840, (q15_t)0x7fc3, (q15_t)0xf83a, (q15_t)0x7fc3, (q15_t)0xf834, (q15_t)0x7fc2, (q15_t)0xf82d,
+ (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc1, (q15_t)0xf821, (q15_t)0x7fc1, (q15_t)0xf81b, (q15_t)0x7fc1, (q15_t)0xf814,
+ (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fc0, (q15_t)0xf808, (q15_t)0x7fc0, (q15_t)0xf802, (q15_t)0x7fbf, (q15_t)0xf7fb,
+ (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbe, (q15_t)0xf7ef, (q15_t)0x7fbe, (q15_t)0xf7e8, (q15_t)0x7fbe, (q15_t)0xf7e2,
+ (q15_t)0x7fbd, (q15_t)0xf7dc, (q15_t)0x7fbd, (q15_t)0xf7d6, (q15_t)0x7fbc, (q15_t)0xf7cf, (q15_t)0x7fbc, (q15_t)0xf7c9,
+ (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fbb, (q15_t)0xf7bd, (q15_t)0x7fbb, (q15_t)0xf7b6, (q15_t)0x7fba, (q15_t)0xf7b0,
+ (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb9, (q15_t)0xf7a3, (q15_t)0x7fb9, (q15_t)0xf79d, (q15_t)0x7fb9, (q15_t)0xf797,
+ (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb8, (q15_t)0xf78a, (q15_t)0x7fb7, (q15_t)0xf784, (q15_t)0x7fb7, (q15_t)0xf77e,
+ (q15_t)0x7fb7, (q15_t)0xf778, (q15_t)0x7fb6, (q15_t)0xf771, (q15_t)0x7fb6, (q15_t)0xf76b, (q15_t)0x7fb5, (q15_t)0xf765,
+ (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb4, (q15_t)0xf758, (q15_t)0x7fb4, (q15_t)0xf752, (q15_t)0x7fb4, (q15_t)0xf74c,
+ (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb3, (q15_t)0xf73f, (q15_t)0x7fb2, (q15_t)0xf739, (q15_t)0x7fb2, (q15_t)0xf733,
+ (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb1, (q15_t)0xf726, (q15_t)0x7fb1, (q15_t)0xf720, (q15_t)0x7fb0, (q15_t)0xf71a,
+ (q15_t)0x7fb0, (q15_t)0xf713, (q15_t)0x7faf, (q15_t)0xf70d, (q15_t)0x7faf, (q15_t)0xf707, (q15_t)0x7fae, (q15_t)0xf700,
+ (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fae, (q15_t)0xf6f4, (q15_t)0x7fad, (q15_t)0xf6ee, (q15_t)0x7fad, (q15_t)0xf6e7,
+ (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7fac, (q15_t)0xf6db, (q15_t)0x7fab, (q15_t)0xf6d5, (q15_t)0x7fab, (q15_t)0xf6ce,
+ (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7faa, (q15_t)0xf6c2, (q15_t)0x7fa9, (q15_t)0xf6bc, (q15_t)0x7fa9, (q15_t)0xf6b5,
+ (q15_t)0x7fa9, (q15_t)0xf6af, (q15_t)0x7fa8, (q15_t)0xf6a9, (q15_t)0x7fa8, (q15_t)0xf6a2, (q15_t)0x7fa7, (q15_t)0xf69c,
+ (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa6, (q15_t)0xf690, (q15_t)0x7fa6, (q15_t)0xf689, (q15_t)0x7fa5, (q15_t)0xf683,
+ (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa4, (q15_t)0xf677, (q15_t)0x7fa4, (q15_t)0xf670, (q15_t)0x7fa3, (q15_t)0xf66a,
+ (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa3, (q15_t)0xf65e, (q15_t)0x7fa2, (q15_t)0xf657, (q15_t)0x7fa2, (q15_t)0xf651,
+ (q15_t)0x7fa1, (q15_t)0xf64b, (q15_t)0x7fa1, (q15_t)0xf644, (q15_t)0x7fa0, (q15_t)0xf63e, (q15_t)0x7fa0, (q15_t)0xf638,
+ (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9f, (q15_t)0xf62b, (q15_t)0x7f9e, (q15_t)0xf625, (q15_t)0x7f9e, (q15_t)0xf61f,
+ (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9d, (q15_t)0xf612, (q15_t)0x7f9c, (q15_t)0xf60c, (q15_t)0x7f9c, (q15_t)0xf606,
+ (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f9b, (q15_t)0xf5f9, (q15_t)0x7f9a, (q15_t)0xf5f3, (q15_t)0x7f9a, (q15_t)0xf5ed,
+ (q15_t)0x7f99, (q15_t)0xf5e7, (q15_t)0x7f99, (q15_t)0xf5e0, (q15_t)0x7f98, (q15_t)0xf5da, (q15_t)0x7f98, (q15_t)0xf5d4,
+ (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f97, (q15_t)0xf5c7, (q15_t)0x7f96, (q15_t)0xf5c1, (q15_t)0x7f96, (q15_t)0xf5bb,
+ (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f95, (q15_t)0xf5ae, (q15_t)0x7f94, (q15_t)0xf5a8, (q15_t)0x7f94, (q15_t)0xf5a2,
+ (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f93, (q15_t)0xf595, (q15_t)0x7f92, (q15_t)0xf58f, (q15_t)0x7f92, (q15_t)0xf589,
+ (q15_t)0x7f91, (q15_t)0xf582, (q15_t)0x7f91, (q15_t)0xf57c, (q15_t)0x7f90, (q15_t)0xf576, (q15_t)0x7f90, (q15_t)0xf570,
+ (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8f, (q15_t)0xf563, (q15_t)0x7f8e, (q15_t)0xf55d, (q15_t)0x7f8e, (q15_t)0xf556,
+ (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8d, (q15_t)0xf54a, (q15_t)0x7f8c, (q15_t)0xf544, (q15_t)0x7f8b, (q15_t)0xf53d,
+ (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f8a, (q15_t)0xf531, (q15_t)0x7f8a, (q15_t)0xf52b, (q15_t)0x7f89, (q15_t)0xf524,
+ (q15_t)0x7f89, (q15_t)0xf51e, (q15_t)0x7f88, (q15_t)0xf518, (q15_t)0x7f88, (q15_t)0xf512, (q15_t)0x7f87, (q15_t)0xf50b,
+ (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f86, (q15_t)0xf4ff, (q15_t)0x7f86, (q15_t)0xf4f9, (q15_t)0x7f85, (q15_t)0xf4f2,
+ (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f84, (q15_t)0xf4e6, (q15_t)0x7f83, (q15_t)0xf4e0, (q15_t)0x7f83, (q15_t)0xf4d9,
+ (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f82, (q15_t)0xf4cd, (q15_t)0x7f81, (q15_t)0xf4c6, (q15_t)0x7f81, (q15_t)0xf4c0,
+ (q15_t)0x7f80, (q15_t)0xf4ba, (q15_t)0x7f80, (q15_t)0xf4b4, (q15_t)0x7f7f, (q15_t)0xf4ad, (q15_t)0x7f7e, (q15_t)0xf4a7,
+ (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7d, (q15_t)0xf49b, (q15_t)0x7f7d, (q15_t)0xf494, (q15_t)0x7f7c, (q15_t)0xf48e,
+ (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f7b, (q15_t)0xf482, (q15_t)0x7f7b, (q15_t)0xf47b, (q15_t)0x7f7a, (q15_t)0xf475,
+ (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f79, (q15_t)0xf469, (q15_t)0x7f78, (q15_t)0xf462, (q15_t)0x7f78, (q15_t)0xf45c,
+ (q15_t)0x7f77, (q15_t)0xf456, (q15_t)0x7f77, (q15_t)0xf450, (q15_t)0x7f76, (q15_t)0xf449, (q15_t)0x7f75, (q15_t)0xf443,
+ (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f74, (q15_t)0xf437, (q15_t)0x7f74, (q15_t)0xf430, (q15_t)0x7f73, (q15_t)0xf42a,
+ (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f72, (q15_t)0xf41e, (q15_t)0x7f71, (q15_t)0xf417, (q15_t)0x7f71, (q15_t)0xf411,
+ (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f70, (q15_t)0xf405, (q15_t)0x7f6f, (q15_t)0xf3fe, (q15_t)0x7f6e, (q15_t)0xf3f8,
+ (q15_t)0x7f6e, (q15_t)0xf3f2, (q15_t)0x7f6d, (q15_t)0xf3ec, (q15_t)0x7f6d, (q15_t)0xf3e5, (q15_t)0x7f6c, (q15_t)0xf3df,
+ (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f6b, (q15_t)0xf3d2, (q15_t)0x7f6a, (q15_t)0xf3cc, (q15_t)0x7f6a, (q15_t)0xf3c6,
+ (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f68, (q15_t)0xf3b9, (q15_t)0x7f68, (q15_t)0xf3b3, (q15_t)0x7f67, (q15_t)0xf3ad,
+ (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f66, (q15_t)0xf3a0, (q15_t)0x7f65, (q15_t)0xf39a, (q15_t)0x7f65, (q15_t)0xf394,
+ (q15_t)0x7f64, (q15_t)0xf38e, (q15_t)0x7f64, (q15_t)0xf387, (q15_t)0x7f63, (q15_t)0xf381, (q15_t)0x7f62, (q15_t)0xf37b,
+ (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f61, (q15_t)0xf36e, (q15_t)0x7f60, (q15_t)0xf368, (q15_t)0x7f60, (q15_t)0xf362,
+ (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5f, (q15_t)0xf355, (q15_t)0x7f5e, (q15_t)0xf34f, (q15_t)0x7f5d, (q15_t)0xf349,
+ (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5c, (q15_t)0xf33c, (q15_t)0x7f5b, (q15_t)0xf336, (q15_t)0x7f5b, (q15_t)0xf330,
+ (q15_t)0x7f5a, (q15_t)0xf32a, (q15_t)0x7f5a, (q15_t)0xf323, (q15_t)0x7f59, (q15_t)0xf31d, (q15_t)0x7f58, (q15_t)0xf317,
+ (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f57, (q15_t)0xf30a, (q15_t)0x7f56, (q15_t)0xf304, (q15_t)0x7f56, (q15_t)0xf2fe,
+ (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f55, (q15_t)0xf2f1, (q15_t)0x7f54, (q15_t)0xf2eb, (q15_t)0x7f53, (q15_t)0xf2e5,
+ (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f52, (q15_t)0xf2d8, (q15_t)0x7f51, (q15_t)0xf2d2, (q15_t)0x7f51, (q15_t)0xf2cc,
+ (q15_t)0x7f50, (q15_t)0xf2c6, (q15_t)0x7f4f, (q15_t)0xf2bf, (q15_t)0x7f4f, (q15_t)0xf2b9, (q15_t)0x7f4e, (q15_t)0xf2b3,
+ (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4d, (q15_t)0xf2a6, (q15_t)0x7f4c, (q15_t)0xf2a0, (q15_t)0x7f4b, (q15_t)0xf29a,
+ (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f4a, (q15_t)0xf28d, (q15_t)0x7f49, (q15_t)0xf287, (q15_t)0x7f49, (q15_t)0xf281,
+ (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f47, (q15_t)0xf274, (q15_t)0x7f47, (q15_t)0xf26e, (q15_t)0x7f46, (q15_t)0xf268,
+ (q15_t)0x7f45, (q15_t)0xf262, (q15_t)0x7f45, (q15_t)0xf25b, (q15_t)0x7f44, (q15_t)0xf255, (q15_t)0x7f43, (q15_t)0xf24f,
+ (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f42, (q15_t)0xf242, (q15_t)0x7f41, (q15_t)0xf23c, (q15_t)0x7f41, (q15_t)0xf236,
+ (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3f, (q15_t)0xf229, (q15_t)0x7f3f, (q15_t)0xf223, (q15_t)0x7f3e, (q15_t)0xf21d,
+ (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3d, (q15_t)0xf210, (q15_t)0x7f3c, (q15_t)0xf20a, (q15_t)0x7f3b, (q15_t)0xf204,
+ (q15_t)0x7f3b, (q15_t)0xf1fe, (q15_t)0x7f3a, (q15_t)0xf1f7, (q15_t)0x7f39, (q15_t)0xf1f1, (q15_t)0x7f39, (q15_t)0xf1eb,
+ (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f37, (q15_t)0xf1de, (q15_t)0x7f36, (q15_t)0xf1d8, (q15_t)0x7f36, (q15_t)0xf1d2,
+ (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f34, (q15_t)0xf1c6, (q15_t)0x7f34, (q15_t)0xf1bf, (q15_t)0x7f33, (q15_t)0xf1b9,
+ (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f32, (q15_t)0xf1ad, (q15_t)0x7f31, (q15_t)0xf1a6, (q15_t)0x7f30, (q15_t)0xf1a0,
+ (q15_t)0x7f2f, (q15_t)0xf19a, (q15_t)0x7f2f, (q15_t)0xf194, (q15_t)0x7f2e, (q15_t)0xf18d, (q15_t)0x7f2d, (q15_t)0xf187,
+ (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2c, (q15_t)0xf17b, (q15_t)0x7f2b, (q15_t)0xf174, (q15_t)0x7f2a, (q15_t)0xf16e,
+ (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f29, (q15_t)0xf162, (q15_t)0x7f28, (q15_t)0xf15b, (q15_t)0x7f28, (q15_t)0xf155,
+ (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f26, (q15_t)0xf149, (q15_t)0x7f25, (q15_t)0xf142, (q15_t)0x7f25, (q15_t)0xf13c,
+ (q15_t)0x7f24, (q15_t)0xf136, (q15_t)0x7f23, (q15_t)0xf130, (q15_t)0x7f23, (q15_t)0xf129, (q15_t)0x7f22, (q15_t)0xf123,
+ (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f20, (q15_t)0xf117, (q15_t)0x7f20, (q15_t)0xf110, (q15_t)0x7f1f, (q15_t)0xf10a,
+ (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1d, (q15_t)0xf0fe, (q15_t)0x7f1d, (q15_t)0xf0f8, (q15_t)0x7f1c, (q15_t)0xf0f1,
+ (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f1a, (q15_t)0xf0e5, (q15_t)0x7f1a, (q15_t)0xf0df, (q15_t)0x7f19, (q15_t)0xf0d8,
+ (q15_t)0x7f18, (q15_t)0xf0d2, (q15_t)0x7f17, (q15_t)0xf0cc, (q15_t)0x7f17, (q15_t)0xf0c6, (q15_t)0x7f16, (q15_t)0xf0bf,
+ (q15_t)0x7f15, (q15_t)0xf0b9, (q15_t)0x7f14, (q15_t)0xf0b3, (q15_t)0x7f14, (q15_t)0xf0ad, (q15_t)0x7f13, (q15_t)0xf0a6,
+ (q15_t)0x7f12, (q15_t)0xf0a0, (q15_t)0x7f11, (q15_t)0xf09a, (q15_t)0x7f11, (q15_t)0xf094, (q15_t)0x7f10, (q15_t)0xf08d,
+ (q15_t)0x7f0f, (q15_t)0xf087, (q15_t)0x7f0e, (q15_t)0xf081, (q15_t)0x7f0e, (q15_t)0xf07b, (q15_t)0x7f0d, (q15_t)0xf075,
+ (q15_t)0x7f0c, (q15_t)0xf06e, (q15_t)0x7f0b, (q15_t)0xf068, (q15_t)0x7f0b, (q15_t)0xf062, (q15_t)0x7f0a, (q15_t)0xf05c,
+ (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7f08, (q15_t)0xf04f, (q15_t)0x7f08, (q15_t)0xf049, (q15_t)0x7f07, (q15_t)0xf043,
+ (q15_t)0x7f06, (q15_t)0xf03c, (q15_t)0x7f05, (q15_t)0xf036, (q15_t)0x7f04, (q15_t)0xf030, (q15_t)0x7f04, (q15_t)0xf02a,
+ (q15_t)0x7f03, (q15_t)0xf023, (q15_t)0x7f02, (q15_t)0xf01d, (q15_t)0x7f01, (q15_t)0xf017, (q15_t)0x7f01, (q15_t)0xf011,
+ (q15_t)0x7f00, (q15_t)0xf00b, (q15_t)0x7eff, (q15_t)0xf004, (q15_t)0x7efe, (q15_t)0xeffe, (q15_t)0x7efd, (q15_t)0xeff8,
+ (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7efc, (q15_t)0xefeb, (q15_t)0x7efb, (q15_t)0xefe5, (q15_t)0x7efa, (q15_t)0xefdf,
+ (q15_t)0x7ef9, (q15_t)0xefd9, (q15_t)0x7ef9, (q15_t)0xefd2, (q15_t)0x7ef8, (q15_t)0xefcc, (q15_t)0x7ef7, (q15_t)0xefc6,
+ (q15_t)0x7ef6, (q15_t)0xefc0, (q15_t)0x7ef5, (q15_t)0xefb9, (q15_t)0x7ef5, (q15_t)0xefb3, (q15_t)0x7ef4, (q15_t)0xefad,
+ (q15_t)0x7ef3, (q15_t)0xefa7, (q15_t)0x7ef2, (q15_t)0xefa1, (q15_t)0x7ef1, (q15_t)0xef9a, (q15_t)0x7ef1, (q15_t)0xef94,
+ (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7eef, (q15_t)0xef88, (q15_t)0x7eee, (q15_t)0xef81, (q15_t)0x7eed, (q15_t)0xef7b,
+ (q15_t)0x7eed, (q15_t)0xef75, (q15_t)0x7eec, (q15_t)0xef6f, (q15_t)0x7eeb, (q15_t)0xef68, (q15_t)0x7eea, (q15_t)0xef62,
+ (q15_t)0x7ee9, (q15_t)0xef5c, (q15_t)0x7ee9, (q15_t)0xef56, (q15_t)0x7ee8, (q15_t)0xef50, (q15_t)0x7ee7, (q15_t)0xef49,
+ (q15_t)0x7ee6, (q15_t)0xef43, (q15_t)0x7ee5, (q15_t)0xef3d, (q15_t)0x7ee4, (q15_t)0xef37, (q15_t)0x7ee4, (q15_t)0xef30,
+ (q15_t)0x7ee3, (q15_t)0xef2a, (q15_t)0x7ee2, (q15_t)0xef24, (q15_t)0x7ee1, (q15_t)0xef1e, (q15_t)0x7ee0, (q15_t)0xef18,
+ (q15_t)0x7edf, (q15_t)0xef11, (q15_t)0x7edf, (q15_t)0xef0b, (q15_t)0x7ede, (q15_t)0xef05, (q15_t)0x7edd, (q15_t)0xeeff,
+ (q15_t)0x7edc, (q15_t)0xeef8, (q15_t)0x7edb, (q15_t)0xeef2, (q15_t)0x7eda, (q15_t)0xeeec, (q15_t)0x7eda, (q15_t)0xeee6,
+ (q15_t)0x7ed9, (q15_t)0xeedf, (q15_t)0x7ed8, (q15_t)0xeed9, (q15_t)0x7ed7, (q15_t)0xeed3, (q15_t)0x7ed6, (q15_t)0xeecd,
+ (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ed5, (q15_t)0xeec0, (q15_t)0x7ed4, (q15_t)0xeeba, (q15_t)0x7ed3, (q15_t)0xeeb4,
+ (q15_t)0x7ed2, (q15_t)0xeeae, (q15_t)0x7ed1, (q15_t)0xeea7, (q15_t)0x7ed0, (q15_t)0xeea1, (q15_t)0x7ecf, (q15_t)0xee9b,
+ (q15_t)0x7ecf, (q15_t)0xee95, (q15_t)0x7ece, (q15_t)0xee8f, (q15_t)0x7ecd, (q15_t)0xee88, (q15_t)0x7ecc, (q15_t)0xee82,
+ (q15_t)0x7ecb, (q15_t)0xee7c, (q15_t)0x7eca, (q15_t)0xee76, (q15_t)0x7ec9, (q15_t)0xee6f, (q15_t)0x7ec9, (q15_t)0xee69,
+ (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7ec7, (q15_t)0xee5d, (q15_t)0x7ec6, (q15_t)0xee57, (q15_t)0x7ec5, (q15_t)0xee50,
+ (q15_t)0x7ec4, (q15_t)0xee4a, (q15_t)0x7ec3, (q15_t)0xee44, (q15_t)0x7ec3, (q15_t)0xee3e, (q15_t)0x7ec2, (q15_t)0xee37,
+ (q15_t)0x7ec1, (q15_t)0xee31, (q15_t)0x7ec0, (q15_t)0xee2b, (q15_t)0x7ebf, (q15_t)0xee25, (q15_t)0x7ebe, (q15_t)0xee1f,
+ (q15_t)0x7ebd, (q15_t)0xee18, (q15_t)0x7ebc, (q15_t)0xee12, (q15_t)0x7ebb, (q15_t)0xee0c, (q15_t)0x7ebb, (q15_t)0xee06,
+ (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eb9, (q15_t)0xedf9, (q15_t)0x7eb8, (q15_t)0xedf3, (q15_t)0x7eb7, (q15_t)0xeded,
+ (q15_t)0x7eb6, (q15_t)0xede7, (q15_t)0x7eb5, (q15_t)0xede0, (q15_t)0x7eb4, (q15_t)0xedda, (q15_t)0x7eb4, (q15_t)0xedd4,
+ (q15_t)0x7eb3, (q15_t)0xedce, (q15_t)0x7eb2, (q15_t)0xedc7, (q15_t)0x7eb1, (q15_t)0xedc1, (q15_t)0x7eb0, (q15_t)0xedbb,
+ (q15_t)0x7eaf, (q15_t)0xedb5, (q15_t)0x7eae, (q15_t)0xedaf, (q15_t)0x7ead, (q15_t)0xeda8, (q15_t)0x7eac, (q15_t)0xeda2,
+ (q15_t)0x7eab, (q15_t)0xed9c, (q15_t)0x7eab, (q15_t)0xed96, (q15_t)0x7eaa, (q15_t)0xed8f, (q15_t)0x7ea9, (q15_t)0xed89,
+ (q15_t)0x7ea8, (q15_t)0xed83, (q15_t)0x7ea7, (q15_t)0xed7d, (q15_t)0x7ea6, (q15_t)0xed77, (q15_t)0x7ea5, (q15_t)0xed70,
+ (q15_t)0x7ea4, (q15_t)0xed6a, (q15_t)0x7ea3, (q15_t)0xed64, (q15_t)0x7ea2, (q15_t)0xed5e, (q15_t)0x7ea1, (q15_t)0xed58,
+ (q15_t)0x7ea1, (q15_t)0xed51, (q15_t)0x7ea0, (q15_t)0xed4b, (q15_t)0x7e9f, (q15_t)0xed45, (q15_t)0x7e9e, (q15_t)0xed3f,
+ (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e9c, (q15_t)0xed32, (q15_t)0x7e9b, (q15_t)0xed2c, (q15_t)0x7e9a, (q15_t)0xed26,
+ (q15_t)0x7e99, (q15_t)0xed20, (q15_t)0x7e98, (q15_t)0xed19, (q15_t)0x7e97, (q15_t)0xed13, (q15_t)0x7e96, (q15_t)0xed0d,
+ (q15_t)0x7e95, (q15_t)0xed07, (q15_t)0x7e94, (q15_t)0xed01, (q15_t)0x7e94, (q15_t)0xecfa, (q15_t)0x7e93, (q15_t)0xecf4,
+ (q15_t)0x7e92, (q15_t)0xecee, (q15_t)0x7e91, (q15_t)0xece8, (q15_t)0x7e90, (q15_t)0xece1, (q15_t)0x7e8f, (q15_t)0xecdb,
+ (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e8d, (q15_t)0xeccf, (q15_t)0x7e8c, (q15_t)0xecc9, (q15_t)0x7e8b, (q15_t)0xecc2,
+ (q15_t)0x7e8a, (q15_t)0xecbc, (q15_t)0x7e89, (q15_t)0xecb6, (q15_t)0x7e88, (q15_t)0xecb0, (q15_t)0x7e87, (q15_t)0xecaa,
+ (q15_t)0x7e86, (q15_t)0xeca3, (q15_t)0x7e85, (q15_t)0xec9d, (q15_t)0x7e84, (q15_t)0xec97, (q15_t)0x7e84, (q15_t)0xec91,
+ (q15_t)0x7e83, (q15_t)0xec8a, (q15_t)0x7e82, (q15_t)0xec84, (q15_t)0x7e81, (q15_t)0xec7e, (q15_t)0x7e80, (q15_t)0xec78,
+ (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e7e, (q15_t)0xec6b, (q15_t)0x7e7d, (q15_t)0xec65, (q15_t)0x7e7c, (q15_t)0xec5f,
+ (q15_t)0x7e7b, (q15_t)0xec59, (q15_t)0x7e7a, (q15_t)0xec53, (q15_t)0x7e79, (q15_t)0xec4c, (q15_t)0x7e78, (q15_t)0xec46,
+ (q15_t)0x7e77, (q15_t)0xec40, (q15_t)0x7e76, (q15_t)0xec3a, (q15_t)0x7e75, (q15_t)0xec34, (q15_t)0x7e74, (q15_t)0xec2d,
+ (q15_t)0x7e73, (q15_t)0xec27, (q15_t)0x7e72, (q15_t)0xec21, (q15_t)0x7e71, (q15_t)0xec1b, (q15_t)0x7e70, (q15_t)0xec15,
+ (q15_t)0x7e6f, (q15_t)0xec0e, (q15_t)0x7e6e, (q15_t)0xec08, (q15_t)0x7e6d, (q15_t)0xec02, (q15_t)0x7e6c, (q15_t)0xebfc,
+ (q15_t)0x7e6b, (q15_t)0xebf5, (q15_t)0x7e6a, (q15_t)0xebef, (q15_t)0x7e69, (q15_t)0xebe9, (q15_t)0x7e68, (q15_t)0xebe3,
+ (q15_t)0x7e67, (q15_t)0xebdd, (q15_t)0x7e66, (q15_t)0xebd6, (q15_t)0x7e65, (q15_t)0xebd0, (q15_t)0x7e64, (q15_t)0xebca,
+ (q15_t)0x7e63, (q15_t)0xebc4, (q15_t)0x7e62, (q15_t)0xebbe, (q15_t)0x7e61, (q15_t)0xebb7, (q15_t)0x7e60, (q15_t)0xebb1,
+ (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e5e, (q15_t)0xeba5, (q15_t)0x7e5d, (q15_t)0xeb9f, (q15_t)0x7e5c, (q15_t)0xeb98,
+ (q15_t)0x7e5b, (q15_t)0xeb92, (q15_t)0x7e5a, (q15_t)0xeb8c, (q15_t)0x7e59, (q15_t)0xeb86, (q15_t)0x7e58, (q15_t)0xeb80,
+ (q15_t)0x7e57, (q15_t)0xeb79, (q15_t)0x7e56, (q15_t)0xeb73, (q15_t)0x7e55, (q15_t)0xeb6d, (q15_t)0x7e54, (q15_t)0xeb67,
+ (q15_t)0x7e53, (q15_t)0xeb61, (q15_t)0x7e52, (q15_t)0xeb5a, (q15_t)0x7e51, (q15_t)0xeb54, (q15_t)0x7e50, (q15_t)0xeb4e,
+ (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e4e, (q15_t)0xeb42, (q15_t)0x7e4d, (q15_t)0xeb3b, (q15_t)0x7e4c, (q15_t)0xeb35,
+ (q15_t)0x7e4b, (q15_t)0xeb2f, (q15_t)0x7e4a, (q15_t)0xeb29, (q15_t)0x7e49, (q15_t)0xeb23, (q15_t)0x7e48, (q15_t)0xeb1c,
+ (q15_t)0x7e47, (q15_t)0xeb16, (q15_t)0x7e46, (q15_t)0xeb10, (q15_t)0x7e45, (q15_t)0xeb0a, (q15_t)0x7e44, (q15_t)0xeb04,
+ (q15_t)0x7e43, (q15_t)0xeafd, (q15_t)0x7e42, (q15_t)0xeaf7, (q15_t)0x7e41, (q15_t)0xeaf1, (q15_t)0x7e40, (q15_t)0xeaeb,
+ (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e3e, (q15_t)0xeade, (q15_t)0x7e3d, (q15_t)0xead8, (q15_t)0x7e3c, (q15_t)0xead2,
+ (q15_t)0x7e3b, (q15_t)0xeacc, (q15_t)0x7e3a, (q15_t)0xeac6, (q15_t)0x7e39, (q15_t)0xeabf, (q15_t)0x7e38, (q15_t)0xeab9,
+ (q15_t)0x7e37, (q15_t)0xeab3, (q15_t)0x7e35, (q15_t)0xeaad, (q15_t)0x7e34, (q15_t)0xeaa7, (q15_t)0x7e33, (q15_t)0xeaa0,
+ (q15_t)0x7e32, (q15_t)0xea9a, (q15_t)0x7e31, (q15_t)0xea94, (q15_t)0x7e30, (q15_t)0xea8e, (q15_t)0x7e2f, (q15_t)0xea88,
+ (q15_t)0x7e2e, (q15_t)0xea81, (q15_t)0x7e2d, (q15_t)0xea7b, (q15_t)0x7e2c, (q15_t)0xea75, (q15_t)0x7e2b, (q15_t)0xea6f,
+ (q15_t)0x7e2a, (q15_t)0xea69, (q15_t)0x7e29, (q15_t)0xea63, (q15_t)0x7e28, (q15_t)0xea5c, (q15_t)0x7e27, (q15_t)0xea56,
+ (q15_t)0x7e26, (q15_t)0xea50, (q15_t)0x7e25, (q15_t)0xea4a, (q15_t)0x7e24, (q15_t)0xea44, (q15_t)0x7e22, (q15_t)0xea3d,
+ (q15_t)0x7e21, (q15_t)0xea37, (q15_t)0x7e20, (q15_t)0xea31, (q15_t)0x7e1f, (q15_t)0xea2b, (q15_t)0x7e1e, (q15_t)0xea25,
+ (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e1c, (q15_t)0xea18, (q15_t)0x7e1b, (q15_t)0xea12, (q15_t)0x7e1a, (q15_t)0xea0c,
+ (q15_t)0x7e19, (q15_t)0xea06, (q15_t)0x7e18, (q15_t)0xe9ff, (q15_t)0x7e17, (q15_t)0xe9f9, (q15_t)0x7e16, (q15_t)0xe9f3,
+ (q15_t)0x7e14, (q15_t)0xe9ed, (q15_t)0x7e13, (q15_t)0xe9e7, (q15_t)0x7e12, (q15_t)0xe9e1, (q15_t)0x7e11, (q15_t)0xe9da,
+ (q15_t)0x7e10, (q15_t)0xe9d4, (q15_t)0x7e0f, (q15_t)0xe9ce, (q15_t)0x7e0e, (q15_t)0xe9c8, (q15_t)0x7e0d, (q15_t)0xe9c2,
+ (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7e0b, (q15_t)0xe9b5, (q15_t)0x7e0a, (q15_t)0xe9af, (q15_t)0x7e08, (q15_t)0xe9a9,
+ (q15_t)0x7e07, (q15_t)0xe9a3, (q15_t)0x7e06, (q15_t)0xe99c, (q15_t)0x7e05, (q15_t)0xe996, (q15_t)0x7e04, (q15_t)0xe990,
+ (q15_t)0x7e03, (q15_t)0xe98a, (q15_t)0x7e02, (q15_t)0xe984, (q15_t)0x7e01, (q15_t)0xe97e, (q15_t)0x7e00, (q15_t)0xe977,
+ (q15_t)0x7dff, (q15_t)0xe971, (q15_t)0x7dfd, (q15_t)0xe96b, (q15_t)0x7dfc, (q15_t)0xe965, (q15_t)0x7dfb, (q15_t)0xe95f,
+ (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7df9, (q15_t)0xe952, (q15_t)0x7df8, (q15_t)0xe94c, (q15_t)0x7df7, (q15_t)0xe946,
+ (q15_t)0x7df6, (q15_t)0xe940, (q15_t)0x7df5, (q15_t)0xe93a, (q15_t)0x7df3, (q15_t)0xe933, (q15_t)0x7df2, (q15_t)0xe92d,
+ (q15_t)0x7df1, (q15_t)0xe927, (q15_t)0x7df0, (q15_t)0xe921, (q15_t)0x7def, (q15_t)0xe91b, (q15_t)0x7dee, (q15_t)0xe914,
+ (q15_t)0x7ded, (q15_t)0xe90e, (q15_t)0x7dec, (q15_t)0xe908, (q15_t)0x7dea, (q15_t)0xe902, (q15_t)0x7de9, (q15_t)0xe8fc,
+ (q15_t)0x7de8, (q15_t)0xe8f6, (q15_t)0x7de7, (q15_t)0xe8ef, (q15_t)0x7de6, (q15_t)0xe8e9, (q15_t)0x7de5, (q15_t)0xe8e3,
+ (q15_t)0x7de4, (q15_t)0xe8dd, (q15_t)0x7de2, (q15_t)0xe8d7, (q15_t)0x7de1, (q15_t)0xe8d0, (q15_t)0x7de0, (q15_t)0xe8ca,
+ (q15_t)0x7ddf, (q15_t)0xe8c4, (q15_t)0x7dde, (q15_t)0xe8be, (q15_t)0x7ddd, (q15_t)0xe8b8, (q15_t)0x7ddc, (q15_t)0xe8b2,
+ (q15_t)0x7dda, (q15_t)0xe8ab, (q15_t)0x7dd9, (q15_t)0xe8a5, (q15_t)0x7dd8, (q15_t)0xe89f, (q15_t)0x7dd7, (q15_t)0xe899,
+ (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dd5, (q15_t)0xe88c, (q15_t)0x7dd4, (q15_t)0xe886, (q15_t)0x7dd2, (q15_t)0xe880,
+ (q15_t)0x7dd1, (q15_t)0xe87a, (q15_t)0x7dd0, (q15_t)0xe874, (q15_t)0x7dcf, (q15_t)0xe86e, (q15_t)0x7dce, (q15_t)0xe867,
+ (q15_t)0x7dcd, (q15_t)0xe861, (q15_t)0x7dcc, (q15_t)0xe85b, (q15_t)0x7dca, (q15_t)0xe855, (q15_t)0x7dc9, (q15_t)0xe84f,
+ (q15_t)0x7dc8, (q15_t)0xe849, (q15_t)0x7dc7, (q15_t)0xe842, (q15_t)0x7dc6, (q15_t)0xe83c, (q15_t)0x7dc5, (q15_t)0xe836,
+ (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7dc2, (q15_t)0xe82a, (q15_t)0x7dc1, (q15_t)0xe823, (q15_t)0x7dc0, (q15_t)0xe81d,
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+ (q15_t)0x7dba, (q15_t)0xe7fe, (q15_t)0x7db9, (q15_t)0xe7f8, (q15_t)0x7db8, (q15_t)0xe7f2, (q15_t)0x7db6, (q15_t)0xe7ec,
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+ (q15_t)0x7bf2, (q15_t)0xe00b, (q15_t)0x7bf0, (q15_t)0xe005, (q15_t)0x7bef, (q15_t)0xdfff, (q15_t)0x7bed, (q15_t)0xdff9,
+ (q15_t)0x7beb, (q15_t)0xdff3, (q15_t)0x7bea, (q15_t)0xdfed, (q15_t)0x7be8, (q15_t)0xdfe7, (q15_t)0x7be7, (q15_t)0xdfe1,
+ (q15_t)0x7be5, (q15_t)0xdfdb, (q15_t)0x7be4, (q15_t)0xdfd5, (q15_t)0x7be2, (q15_t)0xdfce, (q15_t)0x7be0, (q15_t)0xdfc8,
+ (q15_t)0x7bdf, (q15_t)0xdfc2, (q15_t)0x7bdd, (q15_t)0xdfbc, (q15_t)0x7bdc, (q15_t)0xdfb6, (q15_t)0x7bda, (q15_t)0xdfb0,
+ (q15_t)0x7bd9, (q15_t)0xdfaa, (q15_t)0x7bd7, (q15_t)0xdfa4, (q15_t)0x7bd5, (q15_t)0xdf9e, (q15_t)0x7bd4, (q15_t)0xdf98,
+ (q15_t)0x7bd2, (q15_t)0xdf92, (q15_t)0x7bd1, (q15_t)0xdf8c, (q15_t)0x7bcf, (q15_t)0xdf86, (q15_t)0x7bcd, (q15_t)0xdf7f,
+ (q15_t)0x7bcc, (q15_t)0xdf79, (q15_t)0x7bca, (q15_t)0xdf73, (q15_t)0x7bc9, (q15_t)0xdf6d, (q15_t)0x7bc7, (q15_t)0xdf67,
+ (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bc4, (q15_t)0xdf5b, (q15_t)0x7bc2, (q15_t)0xdf55, (q15_t)0x7bc1, (q15_t)0xdf4f,
+ (q15_t)0x7bbf, (q15_t)0xdf49, (q15_t)0x7bbd, (q15_t)0xdf43, (q15_t)0x7bbc, (q15_t)0xdf3d, (q15_t)0x7bba, (q15_t)0xdf37,
+ (q15_t)0x7bb9, (q15_t)0xdf30, (q15_t)0x7bb7, (q15_t)0xdf2a, (q15_t)0x7bb5, (q15_t)0xdf24, (q15_t)0x7bb4, (q15_t)0xdf1e,
+ (q15_t)0x7bb2, (q15_t)0xdf18, (q15_t)0x7bb0, (q15_t)0xdf12, (q15_t)0x7baf, (q15_t)0xdf0c, (q15_t)0x7bad, (q15_t)0xdf06,
+ (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7baa, (q15_t)0xdefa, (q15_t)0x7ba8, (q15_t)0xdef4, (q15_t)0x7ba7, (q15_t)0xdeee,
+ (q15_t)0x7ba5, (q15_t)0xdee8, (q15_t)0x7ba3, (q15_t)0xdee2, (q15_t)0x7ba2, (q15_t)0xdedb, (q15_t)0x7ba0, (q15_t)0xded5,
+ (q15_t)0x7b9f, (q15_t)0xdecf, (q15_t)0x7b9d, (q15_t)0xdec9, (q15_t)0x7b9b, (q15_t)0xdec3, (q15_t)0x7b9a, (q15_t)0xdebd,
+ (q15_t)0x7b98, (q15_t)0xdeb7, (q15_t)0x7b96, (q15_t)0xdeb1, (q15_t)0x7b95, (q15_t)0xdeab, (q15_t)0x7b93, (q15_t)0xdea5,
+ (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b90, (q15_t)0xde99, (q15_t)0x7b8e, (q15_t)0xde93, (q15_t)0x7b8d, (q15_t)0xde8d,
+ (q15_t)0x7b8b, (q15_t)0xde87, (q15_t)0x7b89, (q15_t)0xde80, (q15_t)0x7b88, (q15_t)0xde7a, (q15_t)0x7b86, (q15_t)0xde74,
+ (q15_t)0x7b84, (q15_t)0xde6e, (q15_t)0x7b83, (q15_t)0xde68, (q15_t)0x7b81, (q15_t)0xde62, (q15_t)0x7b7f, (q15_t)0xde5c,
+ (q15_t)0x7b7e, (q15_t)0xde56, (q15_t)0x7b7c, (q15_t)0xde50, (q15_t)0x7b7a, (q15_t)0xde4a, (q15_t)0x7b79, (q15_t)0xde44,
+ (q15_t)0x7b77, (q15_t)0xde3e, (q15_t)0x7b76, (q15_t)0xde38, (q15_t)0x7b74, (q15_t)0xde32, (q15_t)0x7b72, (q15_t)0xde2c,
+ (q15_t)0x7b71, (q15_t)0xde26, (q15_t)0x7b6f, (q15_t)0xde1f, (q15_t)0x7b6d, (q15_t)0xde19, (q15_t)0x7b6c, (q15_t)0xde13,
+ (q15_t)0x7b6a, (q15_t)0xde0d, (q15_t)0x7b68, (q15_t)0xde07, (q15_t)0x7b67, (q15_t)0xde01, (q15_t)0x7b65, (q15_t)0xddfb,
+ (q15_t)0x7b63, (q15_t)0xddf5, (q15_t)0x7b62, (q15_t)0xddef, (q15_t)0x7b60, (q15_t)0xdde9, (q15_t)0x7b5e, (q15_t)0xdde3,
+ (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b5b, (q15_t)0xddd7, (q15_t)0x7b59, (q15_t)0xddd1, (q15_t)0x7b57, (q15_t)0xddcb,
+ (q15_t)0x7b56, (q15_t)0xddc5, (q15_t)0x7b54, (q15_t)0xddbf, (q15_t)0x7b52, (q15_t)0xddb9, (q15_t)0x7b51, (q15_t)0xddb2,
+ (q15_t)0x7b4f, (q15_t)0xddac, (q15_t)0x7b4d, (q15_t)0xdda6, (q15_t)0x7b4c, (q15_t)0xdda0, (q15_t)0x7b4a, (q15_t)0xdd9a,
+ (q15_t)0x7b48, (q15_t)0xdd94, (q15_t)0x7b47, (q15_t)0xdd8e, (q15_t)0x7b45, (q15_t)0xdd88, (q15_t)0x7b43, (q15_t)0xdd82,
+ (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b40, (q15_t)0xdd76, (q15_t)0x7b3e, (q15_t)0xdd70, (q15_t)0x7b3c, (q15_t)0xdd6a,
+ (q15_t)0x7b3b, (q15_t)0xdd64, (q15_t)0x7b39, (q15_t)0xdd5e, (q15_t)0x7b37, (q15_t)0xdd58, (q15_t)0x7b36, (q15_t)0xdd52,
+ (q15_t)0x7b34, (q15_t)0xdd4c, (q15_t)0x7b32, (q15_t)0xdd46, (q15_t)0x7b31, (q15_t)0xdd40, (q15_t)0x7b2f, (q15_t)0xdd39,
+ (q15_t)0x7b2d, (q15_t)0xdd33, (q15_t)0x7b2b, (q15_t)0xdd2d, (q15_t)0x7b2a, (q15_t)0xdd27, (q15_t)0x7b28, (q15_t)0xdd21,
+ (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b25, (q15_t)0xdd15, (q15_t)0x7b23, (q15_t)0xdd0f, (q15_t)0x7b21, (q15_t)0xdd09,
+ (q15_t)0x7b1f, (q15_t)0xdd03, (q15_t)0x7b1e, (q15_t)0xdcfd, (q15_t)0x7b1c, (q15_t)0xdcf7, (q15_t)0x7b1a, (q15_t)0xdcf1,
+ (q15_t)0x7b19, (q15_t)0xdceb, (q15_t)0x7b17, (q15_t)0xdce5, (q15_t)0x7b15, (q15_t)0xdcdf, (q15_t)0x7b13, (q15_t)0xdcd9,
+ (q15_t)0x7b12, (q15_t)0xdcd3, (q15_t)0x7b10, (q15_t)0xdccd, (q15_t)0x7b0e, (q15_t)0xdcc7, (q15_t)0x7b0c, (q15_t)0xdcc1,
+ (q15_t)0x7b0b, (q15_t)0xdcbb, (q15_t)0x7b09, (q15_t)0xdcb5, (q15_t)0x7b07, (q15_t)0xdcae, (q15_t)0x7b06, (q15_t)0xdca8,
+ (q15_t)0x7b04, (q15_t)0xdca2, (q15_t)0x7b02, (q15_t)0xdc9c, (q15_t)0x7b00, (q15_t)0xdc96, (q15_t)0x7aff, (q15_t)0xdc90,
+ (q15_t)0x7afd, (q15_t)0xdc8a, (q15_t)0x7afb, (q15_t)0xdc84, (q15_t)0x7af9, (q15_t)0xdc7e, (q15_t)0x7af8, (q15_t)0xdc78,
+ (q15_t)0x7af6, (q15_t)0xdc72, (q15_t)0x7af4, (q15_t)0xdc6c, (q15_t)0x7af2, (q15_t)0xdc66, (q15_t)0x7af1, (q15_t)0xdc60,
+ (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7aed, (q15_t)0xdc54, (q15_t)0x7aeb, (q15_t)0xdc4e, (q15_t)0x7aea, (q15_t)0xdc48,
+ (q15_t)0x7ae8, (q15_t)0xdc42, (q15_t)0x7ae6, (q15_t)0xdc3c, (q15_t)0x7ae4, (q15_t)0xdc36, (q15_t)0x7ae3, (q15_t)0xdc30,
+ (q15_t)0x7ae1, (q15_t)0xdc2a, (q15_t)0x7adf, (q15_t)0xdc24, (q15_t)0x7add, (q15_t)0xdc1e, (q15_t)0x7adc, (q15_t)0xdc18,
+ (q15_t)0x7ada, (q15_t)0xdc12, (q15_t)0x7ad8, (q15_t)0xdc0c, (q15_t)0x7ad6, (q15_t)0xdc06, (q15_t)0x7ad5, (q15_t)0xdbff,
+ (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ad1, (q15_t)0xdbf3, (q15_t)0x7acf, (q15_t)0xdbed, (q15_t)0x7acd, (q15_t)0xdbe7,
+ (q15_t)0x7acc, (q15_t)0xdbe1, (q15_t)0x7aca, (q15_t)0xdbdb, (q15_t)0x7ac8, (q15_t)0xdbd5, (q15_t)0x7ac6, (q15_t)0xdbcf,
+ (q15_t)0x7ac5, (q15_t)0xdbc9, (q15_t)0x7ac3, (q15_t)0xdbc3, (q15_t)0x7ac1, (q15_t)0xdbbd, (q15_t)0x7abf, (q15_t)0xdbb7,
+ (q15_t)0x7abd, (q15_t)0xdbb1, (q15_t)0x7abc, (q15_t)0xdbab, (q15_t)0x7aba, (q15_t)0xdba5, (q15_t)0x7ab8, (q15_t)0xdb9f,
+ (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7ab5, (q15_t)0xdb93, (q15_t)0x7ab3, (q15_t)0xdb8d, (q15_t)0x7ab1, (q15_t)0xdb87,
+ (q15_t)0x7aaf, (q15_t)0xdb81, (q15_t)0x7aad, (q15_t)0xdb7b, (q15_t)0x7aac, (q15_t)0xdb75, (q15_t)0x7aaa, (q15_t)0xdb6f,
+ (q15_t)0x7aa8, (q15_t)0xdb69, (q15_t)0x7aa6, (q15_t)0xdb63, (q15_t)0x7aa4, (q15_t)0xdb5d, (q15_t)0x7aa3, (q15_t)0xdb57,
+ (q15_t)0x7aa1, (q15_t)0xdb51, (q15_t)0x7a9f, (q15_t)0xdb4b, (q15_t)0x7a9d, (q15_t)0xdb45, (q15_t)0x7a9b, (q15_t)0xdb3f,
+ (q15_t)0x7a9a, (q15_t)0xdb39, (q15_t)0x7a98, (q15_t)0xdb33, (q15_t)0x7a96, (q15_t)0xdb2d, (q15_t)0x7a94, (q15_t)0xdb27,
+ (q15_t)0x7a92, (q15_t)0xdb21, (q15_t)0x7a91, (q15_t)0xdb1b, (q15_t)0x7a8f, (q15_t)0xdb15, (q15_t)0x7a8d, (q15_t)0xdb0f,
+ (q15_t)0x7a8b, (q15_t)0xdb09, (q15_t)0x7a89, (q15_t)0xdb03, (q15_t)0x7a87, (q15_t)0xdafd, (q15_t)0x7a86, (q15_t)0xdaf7,
+ (q15_t)0x7a84, (q15_t)0xdaf1, (q15_t)0x7a82, (q15_t)0xdaea, (q15_t)0x7a80, (q15_t)0xdae4, (q15_t)0x7a7e, (q15_t)0xdade,
+ (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a7b, (q15_t)0xdad2, (q15_t)0x7a79, (q15_t)0xdacc, (q15_t)0x7a77, (q15_t)0xdac6,
+ (q15_t)0x7a75, (q15_t)0xdac0, (q15_t)0x7a73, (q15_t)0xdaba, (q15_t)0x7a72, (q15_t)0xdab4, (q15_t)0x7a70, (q15_t)0xdaae,
+ (q15_t)0x7a6e, (q15_t)0xdaa8, (q15_t)0x7a6c, (q15_t)0xdaa2, (q15_t)0x7a6a, (q15_t)0xda9c, (q15_t)0x7a68, (q15_t)0xda96,
+ (q15_t)0x7a67, (q15_t)0xda90, (q15_t)0x7a65, (q15_t)0xda8a, (q15_t)0x7a63, (q15_t)0xda84, (q15_t)0x7a61, (q15_t)0xda7e,
+ (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a5d, (q15_t)0xda72, (q15_t)0x7a5c, (q15_t)0xda6c, (q15_t)0x7a5a, (q15_t)0xda66,
+ (q15_t)0x7a58, (q15_t)0xda60, (q15_t)0x7a56, (q15_t)0xda5a, (q15_t)0x7a54, (q15_t)0xda54, (q15_t)0x7a52, (q15_t)0xda4e,
+ (q15_t)0x7a50, (q15_t)0xda48, (q15_t)0x7a4f, (q15_t)0xda42, (q15_t)0x7a4d, (q15_t)0xda3c, (q15_t)0x7a4b, (q15_t)0xda36,
+ (q15_t)0x7a49, (q15_t)0xda30, (q15_t)0x7a47, (q15_t)0xda2a, (q15_t)0x7a45, (q15_t)0xda24, (q15_t)0x7a43, (q15_t)0xda1e,
+ (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a40, (q15_t)0xda12, (q15_t)0x7a3e, (q15_t)0xda0c, (q15_t)0x7a3c, (q15_t)0xda06,
+ (q15_t)0x7a3a, (q15_t)0xda00, (q15_t)0x7a38, (q15_t)0xd9fa, (q15_t)0x7a36, (q15_t)0xd9f4, (q15_t)0x7a35, (q15_t)0xd9ee,
+ (q15_t)0x7a33, (q15_t)0xd9e8, (q15_t)0x7a31, (q15_t)0xd9e2, (q15_t)0x7a2f, (q15_t)0xd9dc, (q15_t)0x7a2d, (q15_t)0xd9d6,
+ (q15_t)0x7a2b, (q15_t)0xd9d0, (q15_t)0x7a29, (q15_t)0xd9ca, (q15_t)0x7a27, (q15_t)0xd9c4, (q15_t)0x7a26, (q15_t)0xd9be,
+ (q15_t)0x7a24, (q15_t)0xd9b8, (q15_t)0x7a22, (q15_t)0xd9b2, (q15_t)0x7a20, (q15_t)0xd9ac, (q15_t)0x7a1e, (q15_t)0xd9a6,
+ (q15_t)0x7a1c, (q15_t)0xd9a0, (q15_t)0x7a1a, (q15_t)0xd99a, (q15_t)0x7a18, (q15_t)0xd994, (q15_t)0x7a16, (q15_t)0xd98e,
+ (q15_t)0x7a15, (q15_t)0xd988, (q15_t)0x7a13, (q15_t)0xd982, (q15_t)0x7a11, (q15_t)0xd97c, (q15_t)0x7a0f, (q15_t)0xd976,
+ (q15_t)0x7a0d, (q15_t)0xd970, (q15_t)0x7a0b, (q15_t)0xd96a, (q15_t)0x7a09, (q15_t)0xd964, (q15_t)0x7a07, (q15_t)0xd95e,
+ (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x7a04, (q15_t)0xd952, (q15_t)0x7a02, (q15_t)0xd94c, (q15_t)0x7a00, (q15_t)0xd946,
+ (q15_t)0x79fe, (q15_t)0xd940, (q15_t)0x79fc, (q15_t)0xd93a, (q15_t)0x79fa, (q15_t)0xd934, (q15_t)0x79f8, (q15_t)0xd92e,
+ (q15_t)0x79f6, (q15_t)0xd928, (q15_t)0x79f4, (q15_t)0xd922, (q15_t)0x79f2, (q15_t)0xd91c, (q15_t)0x79f0, (q15_t)0xd917,
+ (q15_t)0x79ef, (q15_t)0xd911, (q15_t)0x79ed, (q15_t)0xd90b, (q15_t)0x79eb, (q15_t)0xd905, (q15_t)0x79e9, (q15_t)0xd8ff,
+ (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79e5, (q15_t)0xd8f3, (q15_t)0x79e3, (q15_t)0xd8ed, (q15_t)0x79e1, (q15_t)0xd8e7,
+ (q15_t)0x79df, (q15_t)0xd8e1, (q15_t)0x79dd, (q15_t)0xd8db, (q15_t)0x79db, (q15_t)0xd8d5, (q15_t)0x79d9, (q15_t)0xd8cf,
+ (q15_t)0x79d8, (q15_t)0xd8c9, (q15_t)0x79d6, (q15_t)0xd8c3, (q15_t)0x79d4, (q15_t)0xd8bd, (q15_t)0x79d2, (q15_t)0xd8b7,
+ (q15_t)0x79d0, (q15_t)0xd8b1, (q15_t)0x79ce, (q15_t)0xd8ab, (q15_t)0x79cc, (q15_t)0xd8a5, (q15_t)0x79ca, (q15_t)0xd89f,
+ (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79c6, (q15_t)0xd893, (q15_t)0x79c4, (q15_t)0xd88d, (q15_t)0x79c2, (q15_t)0xd887,
+ (q15_t)0x79c0, (q15_t)0xd881, (q15_t)0x79be, (q15_t)0xd87b, (q15_t)0x79bc, (q15_t)0xd875, (q15_t)0x79bb, (q15_t)0xd86f,
+ (q15_t)0x79b9, (q15_t)0xd869, (q15_t)0x79b7, (q15_t)0xd863, (q15_t)0x79b5, (q15_t)0xd85d, (q15_t)0x79b3, (q15_t)0xd857,
+ (q15_t)0x79b1, (q15_t)0xd851, (q15_t)0x79af, (q15_t)0xd84b, (q15_t)0x79ad, (q15_t)0xd845, (q15_t)0x79ab, (q15_t)0xd83f,
+ (q15_t)0x79a9, (q15_t)0xd839, (q15_t)0x79a7, (q15_t)0xd833, (q15_t)0x79a5, (q15_t)0xd82d, (q15_t)0x79a3, (q15_t)0xd827,
+ (q15_t)0x79a1, (q15_t)0xd821, (q15_t)0x799f, (q15_t)0xd81b, (q15_t)0x799d, (q15_t)0xd815, (q15_t)0x799b, (q15_t)0xd80f,
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+ (q15_t)0x797a, (q15_t)0xd7aa, (q15_t)0x7978, (q15_t)0xd7a4, (q15_t)0x7976, (q15_t)0xd79e, (q15_t)0x7974, (q15_t)0xd798,
+ (q15_t)0x7972, (q15_t)0xd792, (q15_t)0x7970, (q15_t)0xd78c, (q15_t)0x796e, (q15_t)0xd786, (q15_t)0x796c, (q15_t)0xd780,
+ (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x7968, (q15_t)0xd774, (q15_t)0x7966, (q15_t)0xd76e, (q15_t)0x7964, (q15_t)0xd768,
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+ (q15_t)0x795a, (q15_t)0xd74b, (q15_t)0x7958, (q15_t)0xd745, (q15_t)0x7956, (q15_t)0xd73f, (q15_t)0x7954, (q15_t)0xd739,
+ (q15_t)0x7952, (q15_t)0xd733, (q15_t)0x7950, (q15_t)0xd72d, (q15_t)0x794e, (q15_t)0xd727, (q15_t)0x794c, (q15_t)0xd721,
+ (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x7948, (q15_t)0xd715, (q15_t)0x7946, (q15_t)0xd70f, (q15_t)0x7944, (q15_t)0xd709,
+ (q15_t)0x7942, (q15_t)0xd703, (q15_t)0x7940, (q15_t)0xd6fd, (q15_t)0x793e, (q15_t)0xd6f7, (q15_t)0x793c, (q15_t)0xd6f1,
+ (q15_t)0x793a, (q15_t)0xd6eb, (q15_t)0x7938, (q15_t)0xd6e5, (q15_t)0x7936, (q15_t)0xd6e0, (q15_t)0x7934, (q15_t)0xd6da,
+ (q15_t)0x7932, (q15_t)0xd6d4, (q15_t)0x7930, (q15_t)0xd6ce, (q15_t)0x792e, (q15_t)0xd6c8, (q15_t)0x792c, (q15_t)0xd6c2,
+ (q15_t)0x792a, (q15_t)0xd6bc, (q15_t)0x7928, (q15_t)0xd6b6, (q15_t)0x7926, (q15_t)0xd6b0, (q15_t)0x7924, (q15_t)0xd6aa,
+ (q15_t)0x7922, (q15_t)0xd6a4, (q15_t)0x7920, (q15_t)0xd69e, (q15_t)0x791e, (q15_t)0xd698, (q15_t)0x791c, (q15_t)0xd692,
+ (q15_t)0x7919, (q15_t)0xd68c, (q15_t)0x7917, (q15_t)0xd686, (q15_t)0x7915, (q15_t)0xd680, (q15_t)0x7913, (q15_t)0xd67a,
+ (q15_t)0x7911, (q15_t)0xd675, (q15_t)0x790f, (q15_t)0xd66f, (q15_t)0x790d, (q15_t)0xd669, (q15_t)0x790b, (q15_t)0xd663,
+ (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x7907, (q15_t)0xd657, (q15_t)0x7905, (q15_t)0xd651, (q15_t)0x7903, (q15_t)0xd64b,
+ (q15_t)0x7901, (q15_t)0xd645, (q15_t)0x78ff, (q15_t)0xd63f, (q15_t)0x78fd, (q15_t)0xd639, (q15_t)0x78fb, (q15_t)0xd633,
+ (q15_t)0x78f9, (q15_t)0xd62d, (q15_t)0x78f7, (q15_t)0xd627, (q15_t)0x78f5, (q15_t)0xd621, (q15_t)0x78f3, (q15_t)0xd61b,
+ (q15_t)0x78f1, (q15_t)0xd615, (q15_t)0x78ee, (q15_t)0xd610, (q15_t)0x78ec, (q15_t)0xd60a, (q15_t)0x78ea, (q15_t)0xd604,
+ (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78e6, (q15_t)0xd5f8, (q15_t)0x78e4, (q15_t)0xd5f2, (q15_t)0x78e2, (q15_t)0xd5ec,
+ (q15_t)0x78e0, (q15_t)0xd5e6, (q15_t)0x78de, (q15_t)0xd5e0, (q15_t)0x78dc, (q15_t)0xd5da, (q15_t)0x78da, (q15_t)0xd5d4,
+ (q15_t)0x78d8, (q15_t)0xd5ce, (q15_t)0x78d6, (q15_t)0xd5c8, (q15_t)0x78d4, (q15_t)0xd5c2, (q15_t)0x78d2, (q15_t)0xd5bc,
+ (q15_t)0x78cf, (q15_t)0xd5b7, (q15_t)0x78cd, (q15_t)0xd5b1, (q15_t)0x78cb, (q15_t)0xd5ab, (q15_t)0x78c9, (q15_t)0xd5a5,
+ (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78c5, (q15_t)0xd599, (q15_t)0x78c3, (q15_t)0xd593, (q15_t)0x78c1, (q15_t)0xd58d,
+ (q15_t)0x78bf, (q15_t)0xd587, (q15_t)0x78bd, (q15_t)0xd581, (q15_t)0x78bb, (q15_t)0xd57b, (q15_t)0x78b9, (q15_t)0xd575,
+ (q15_t)0x78b6, (q15_t)0xd56f, (q15_t)0x78b4, (q15_t)0xd569, (q15_t)0x78b2, (q15_t)0xd564, (q15_t)0x78b0, (q15_t)0xd55e,
+ (q15_t)0x78ae, (q15_t)0xd558, (q15_t)0x78ac, (q15_t)0xd552, (q15_t)0x78aa, (q15_t)0xd54c, (q15_t)0x78a8, (q15_t)0xd546,
+ (q15_t)0x78a6, (q15_t)0xd540, (q15_t)0x78a4, (q15_t)0xd53a, (q15_t)0x78a2, (q15_t)0xd534, (q15_t)0x789f, (q15_t)0xd52e,
+ (q15_t)0x789d, (q15_t)0xd528, (q15_t)0x789b, (q15_t)0xd522, (q15_t)0x7899, (q15_t)0xd51c, (q15_t)0x7897, (q15_t)0xd517,
+ (q15_t)0x7895, (q15_t)0xd511, (q15_t)0x7893, (q15_t)0xd50b, (q15_t)0x7891, (q15_t)0xd505, (q15_t)0x788f, (q15_t)0xd4ff,
+ (q15_t)0x788c, (q15_t)0xd4f9, (q15_t)0x788a, (q15_t)0xd4f3, (q15_t)0x7888, (q15_t)0xd4ed, (q15_t)0x7886, (q15_t)0xd4e7,
+ (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7882, (q15_t)0xd4db, (q15_t)0x7880, (q15_t)0xd4d5, (q15_t)0x787e, (q15_t)0xd4d0,
+ (q15_t)0x787c, (q15_t)0xd4ca, (q15_t)0x7879, (q15_t)0xd4c4, (q15_t)0x7877, (q15_t)0xd4be, (q15_t)0x7875, (q15_t)0xd4b8,
+ (q15_t)0x7873, (q15_t)0xd4b2, (q15_t)0x7871, (q15_t)0xd4ac, (q15_t)0x786f, (q15_t)0xd4a6, (q15_t)0x786d, (q15_t)0xd4a0,
+ (q15_t)0x786b, (q15_t)0xd49a, (q15_t)0x7868, (q15_t)0xd494, (q15_t)0x7866, (q15_t)0xd48f, (q15_t)0x7864, (q15_t)0xd489,
+ (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7860, (q15_t)0xd47d, (q15_t)0x785e, (q15_t)0xd477, (q15_t)0x785c, (q15_t)0xd471,
+ (q15_t)0x7859, (q15_t)0xd46b, (q15_t)0x7857, (q15_t)0xd465, (q15_t)0x7855, (q15_t)0xd45f, (q15_t)0x7853, (q15_t)0xd459,
+ (q15_t)0x7851, (q15_t)0xd453, (q15_t)0x784f, (q15_t)0xd44e, (q15_t)0x784d, (q15_t)0xd448, (q15_t)0x784a, (q15_t)0xd442,
+ (q15_t)0x7848, (q15_t)0xd43c, (q15_t)0x7846, (q15_t)0xd436, (q15_t)0x7844, (q15_t)0xd430, (q15_t)0x7842, (q15_t)0xd42a,
+ (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x783e, (q15_t)0xd41e, (q15_t)0x783b, (q15_t)0xd418, (q15_t)0x7839, (q15_t)0xd412,
+ (q15_t)0x7837, (q15_t)0xd40d, (q15_t)0x7835, (q15_t)0xd407, (q15_t)0x7833, (q15_t)0xd401, (q15_t)0x7831, (q15_t)0xd3fb,
+ (q15_t)0x782e, (q15_t)0xd3f5, (q15_t)0x782c, (q15_t)0xd3ef, (q15_t)0x782a, (q15_t)0xd3e9, (q15_t)0x7828, (q15_t)0xd3e3,
+ (q15_t)0x7826, (q15_t)0xd3dd, (q15_t)0x7824, (q15_t)0xd3d7, (q15_t)0x7821, (q15_t)0xd3d2, (q15_t)0x781f, (q15_t)0xd3cc,
+ (q15_t)0x781d, (q15_t)0xd3c6, (q15_t)0x781b, (q15_t)0xd3c0, (q15_t)0x7819, (q15_t)0xd3ba, (q15_t)0x7817, (q15_t)0xd3b4,
+ (q15_t)0x7814, (q15_t)0xd3ae, (q15_t)0x7812, (q15_t)0xd3a8, (q15_t)0x7810, (q15_t)0xd3a2, (q15_t)0x780e, (q15_t)0xd39d,
+ (q15_t)0x780c, (q15_t)0xd397, (q15_t)0x780a, (q15_t)0xd391, (q15_t)0x7807, (q15_t)0xd38b, (q15_t)0x7805, (q15_t)0xd385,
+ (q15_t)0x7803, (q15_t)0xd37f, (q15_t)0x7801, (q15_t)0xd379, (q15_t)0x77ff, (q15_t)0xd373, (q15_t)0x77fc, (q15_t)0xd36d,
+ (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77f8, (q15_t)0xd362, (q15_t)0x77f6, (q15_t)0xd35c, (q15_t)0x77f4, (q15_t)0xd356,
+ (q15_t)0x77f1, (q15_t)0xd350, (q15_t)0x77ef, (q15_t)0xd34a, (q15_t)0x77ed, (q15_t)0xd344, (q15_t)0x77eb, (q15_t)0xd33e,
+ (q15_t)0x77e9, (q15_t)0xd338, (q15_t)0x77e6, (q15_t)0xd333, (q15_t)0x77e4, (q15_t)0xd32d, (q15_t)0x77e2, (q15_t)0xd327,
+ (q15_t)0x77e0, (q15_t)0xd321, (q15_t)0x77de, (q15_t)0xd31b, (q15_t)0x77db, (q15_t)0xd315, (q15_t)0x77d9, (q15_t)0xd30f,
+ (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77d5, (q15_t)0xd303, (q15_t)0x77d3, (q15_t)0xd2fe, (q15_t)0x77d0, (q15_t)0xd2f8,
+ (q15_t)0x77ce, (q15_t)0xd2f2, (q15_t)0x77cc, (q15_t)0xd2ec, (q15_t)0x77ca, (q15_t)0xd2e6, (q15_t)0x77c8, (q15_t)0xd2e0,
+ (q15_t)0x77c5, (q15_t)0xd2da, (q15_t)0x77c3, (q15_t)0xd2d4, (q15_t)0x77c1, (q15_t)0xd2cf, (q15_t)0x77bf, (q15_t)0xd2c9,
+ (q15_t)0x77bc, (q15_t)0xd2c3, (q15_t)0x77ba, (q15_t)0xd2bd, (q15_t)0x77b8, (q15_t)0xd2b7, (q15_t)0x77b6, (q15_t)0xd2b1,
+ (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x77b1, (q15_t)0xd2a5, (q15_t)0x77af, (q15_t)0xd2a0, (q15_t)0x77ad, (q15_t)0xd29a,
+ (q15_t)0x77ab, (q15_t)0xd294, (q15_t)0x77a8, (q15_t)0xd28e, (q15_t)0x77a6, (q15_t)0xd288, (q15_t)0x77a4, (q15_t)0xd282,
+ (q15_t)0x77a2, (q15_t)0xd27c, (q15_t)0x77a0, (q15_t)0xd276, (q15_t)0x779d, (q15_t)0xd271, (q15_t)0x779b, (q15_t)0xd26b,
+ (q15_t)0x7799, (q15_t)0xd265, (q15_t)0x7797, (q15_t)0xd25f, (q15_t)0x7794, (q15_t)0xd259, (q15_t)0x7792, (q15_t)0xd253,
+ (q15_t)0x7790, (q15_t)0xd24d, (q15_t)0x778e, (q15_t)0xd247, (q15_t)0x778b, (q15_t)0xd242, (q15_t)0x7789, (q15_t)0xd23c,
+ (q15_t)0x7787, (q15_t)0xd236, (q15_t)0x7785, (q15_t)0xd230, (q15_t)0x7782, (q15_t)0xd22a, (q15_t)0x7780, (q15_t)0xd224,
+ (q15_t)0x777e, (q15_t)0xd21e, (q15_t)0x777c, (q15_t)0xd219, (q15_t)0x7779, (q15_t)0xd213, (q15_t)0x7777, (q15_t)0xd20d,
+ (q15_t)0x7775, (q15_t)0xd207, (q15_t)0x7773, (q15_t)0xd201, (q15_t)0x7770, (q15_t)0xd1fb, (q15_t)0x776e, (q15_t)0xd1f5,
+ (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x776a, (q15_t)0xd1ea, (q15_t)0x7767, (q15_t)0xd1e4, (q15_t)0x7765, (q15_t)0xd1de,
+ (q15_t)0x7763, (q15_t)0xd1d8, (q15_t)0x7760, (q15_t)0xd1d2, (q15_t)0x775e, (q15_t)0xd1cc, (q15_t)0x775c, (q15_t)0xd1c6,
+ (q15_t)0x775a, (q15_t)0xd1c1, (q15_t)0x7757, (q15_t)0xd1bb, (q15_t)0x7755, (q15_t)0xd1b5, (q15_t)0x7753, (q15_t)0xd1af,
+ (q15_t)0x7751, (q15_t)0xd1a9, (q15_t)0x774e, (q15_t)0xd1a3, (q15_t)0x774c, (q15_t)0xd19d, (q15_t)0x774a, (q15_t)0xd198,
+ (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7745, (q15_t)0xd18c, (q15_t)0x7743, (q15_t)0xd186, (q15_t)0x7741, (q15_t)0xd180,
+ (q15_t)0x773e, (q15_t)0xd17a, (q15_t)0x773c, (q15_t)0xd174, (q15_t)0x773a, (q15_t)0xd16f, (q15_t)0x7738, (q15_t)0xd169,
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+ (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x7721, (q15_t)0xd12e, (q15_t)0x771e, (q15_t)0xd128, (q15_t)0x771c, (q15_t)0xd123,
+ (q15_t)0x771a, (q15_t)0xd11d, (q15_t)0x7717, (q15_t)0xd117, (q15_t)0x7715, (q15_t)0xd111, (q15_t)0x7713, (q15_t)0xd10b,
+ (q15_t)0x7710, (q15_t)0xd105, (q15_t)0x770e, (q15_t)0xd0ff, (q15_t)0x770c, (q15_t)0xd0fa, (q15_t)0x770a, (q15_t)0xd0f4,
+ (q15_t)0x7707, (q15_t)0xd0ee, (q15_t)0x7705, (q15_t)0xd0e8, (q15_t)0x7703, (q15_t)0xd0e2, (q15_t)0x7700, (q15_t)0xd0dc,
+ (q15_t)0x76fe, (q15_t)0xd0d7, (q15_t)0x76fc, (q15_t)0xd0d1, (q15_t)0x76f9, (q15_t)0xd0cb, (q15_t)0x76f7, (q15_t)0xd0c5,
+ (q15_t)0x76f5, (q15_t)0xd0bf, (q15_t)0x76f2, (q15_t)0xd0b9, (q15_t)0x76f0, (q15_t)0xd0b4, (q15_t)0x76ee, (q15_t)0xd0ae,
+ (q15_t)0x76eb, (q15_t)0xd0a8, (q15_t)0x76e9, (q15_t)0xd0a2, (q15_t)0x76e7, (q15_t)0xd09c, (q15_t)0x76e4, (q15_t)0xd096,
+ (q15_t)0x76e2, (q15_t)0xd091, (q15_t)0x76e0, (q15_t)0xd08b, (q15_t)0x76dd, (q15_t)0xd085, (q15_t)0x76db, (q15_t)0xd07f,
+ (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76d6, (q15_t)0xd073, (q15_t)0x76d4, (q15_t)0xd06e, (q15_t)0x76d2, (q15_t)0xd068,
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+ (q15_t)0x749e, (q15_t)0xcb3c, (q15_t)0x749b, (q15_t)0xcb36, (q15_t)0x7498, (q15_t)0xcb31, (q15_t)0x7496, (q15_t)0xcb2b,
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+ (q15_t)0x7474, (q15_t)0xcae1, (q15_t)0x7471, (q15_t)0xcadb, (q15_t)0x746f, (q15_t)0xcad5, (q15_t)0x746c, (q15_t)0xcad0,
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+ (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71f7, (q15_t)0xc5bb, (q15_t)0x71f4, (q15_t)0xc5b5, (q15_t)0x71f1, (q15_t)0xc5b0,
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+ (q15_t)0x71d7, (q15_t)0xc57d, (q15_t)0x71d4, (q15_t)0xc578, (q15_t)0x71d2, (q15_t)0xc572, (q15_t)0x71cf, (q15_t)0xc56c,
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+ (q15_t)0x7186, (q15_t)0xc4e1, (q15_t)0x7184, (q15_t)0xc4db, (q15_t)0x7181, (q15_t)0xc4d6, (q15_t)0x717e, (q15_t)0xc4d0,
+ (q15_t)0x717b, (q15_t)0xc4cb, (q15_t)0x7178, (q15_t)0xc4c5, (q15_t)0x7175, (q15_t)0xc4c0, (q15_t)0x7172, (q15_t)0xc4ba,
+ (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x716c, (q15_t)0xc4af, (q15_t)0x7169, (q15_t)0xc4a9, (q15_t)0x7167, (q15_t)0xc4a4,
+ (q15_t)0x7164, (q15_t)0xc49e, (q15_t)0x7161, (q15_t)0xc499, (q15_t)0x715e, (q15_t)0xc493, (q15_t)0x715b, (q15_t)0xc48d,
+ (q15_t)0x7158, (q15_t)0xc488, (q15_t)0x7155, (q15_t)0xc482, (q15_t)0x7152, (q15_t)0xc47d, (q15_t)0x714f, (q15_t)0xc477,
+ (q15_t)0x714c, (q15_t)0xc472, (q15_t)0x7149, (q15_t)0xc46c, (q15_t)0x7146, (q15_t)0xc467, (q15_t)0x7143, (q15_t)0xc461,
+ (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x713e, (q15_t)0xc456, (q15_t)0x713b, (q15_t)0xc450, (q15_t)0x7138, (q15_t)0xc44b,
+ (q15_t)0x7135, (q15_t)0xc445, (q15_t)0x7132, (q15_t)0xc440, (q15_t)0x712f, (q15_t)0xc43a, (q15_t)0x712c, (q15_t)0xc434,
+ (q15_t)0x7129, (q15_t)0xc42f, (q15_t)0x7126, (q15_t)0xc429, (q15_t)0x7123, (q15_t)0xc424, (q15_t)0x7120, (q15_t)0xc41e,
+ (q15_t)0x711d, (q15_t)0xc419, (q15_t)0x711a, (q15_t)0xc413, (q15_t)0x7117, (q15_t)0xc40e, (q15_t)0x7114, (q15_t)0xc408,
+ (q15_t)0x7112, (q15_t)0xc403, (q15_t)0x710f, (q15_t)0xc3fd, (q15_t)0x710c, (q15_t)0xc3f7, (q15_t)0x7109, (q15_t)0xc3f2,
+ (q15_t)0x7106, (q15_t)0xc3ec, (q15_t)0x7103, (q15_t)0xc3e7, (q15_t)0x7100, (q15_t)0xc3e1, (q15_t)0x70fd, (q15_t)0xc3dc,
+ (q15_t)0x70fa, (q15_t)0xc3d6, (q15_t)0x70f7, (q15_t)0xc3d1, (q15_t)0x70f4, (q15_t)0xc3cb, (q15_t)0x70f1, (q15_t)0xc3c5,
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+ (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70df, (q15_t)0xc3a4, (q15_t)0x70dc, (q15_t)0xc39f, (q15_t)0x70d9, (q15_t)0xc399,
+ (q15_t)0x70d6, (q15_t)0xc394, (q15_t)0x70d3, (q15_t)0xc38e, (q15_t)0x70d1, (q15_t)0xc389, (q15_t)0x70ce, (q15_t)0xc383,
+ (q15_t)0x70cb, (q15_t)0xc37d, (q15_t)0x70c8, (q15_t)0xc378, (q15_t)0x70c5, (q15_t)0xc372, (q15_t)0x70c2, (q15_t)0xc36d,
+ (q15_t)0x70bf, (q15_t)0xc367, (q15_t)0x70bc, (q15_t)0xc362, (q15_t)0x70b9, (q15_t)0xc35c, (q15_t)0x70b6, (q15_t)0xc357,
+ (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x70b0, (q15_t)0xc34c, (q15_t)0x70ad, (q15_t)0xc346, (q15_t)0x70aa, (q15_t)0xc341,
+ (q15_t)0x70a7, (q15_t)0xc33b, (q15_t)0x70a4, (q15_t)0xc336, (q15_t)0x70a1, (q15_t)0xc330, (q15_t)0x709e, (q15_t)0xc32a,
+ (q15_t)0x709b, (q15_t)0xc325, (q15_t)0x7098, (q15_t)0xc31f, (q15_t)0x7095, (q15_t)0xc31a, (q15_t)0x7092, (q15_t)0xc314,
+ (q15_t)0x708f, (q15_t)0xc30f, (q15_t)0x708c, (q15_t)0xc309, (q15_t)0x7089, (q15_t)0xc304, (q15_t)0x7086, (q15_t)0xc2fe,
+ (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7080, (q15_t)0xc2f3, (q15_t)0x707d, (q15_t)0xc2ee, (q15_t)0x707a, (q15_t)0xc2e8,
+ (q15_t)0x7077, (q15_t)0xc2e3, (q15_t)0x7074, (q15_t)0xc2dd, (q15_t)0x7071, (q15_t)0xc2d8, (q15_t)0x706e, (q15_t)0xc2d2,
+ (q15_t)0x706b, (q15_t)0xc2cd, (q15_t)0x7068, (q15_t)0xc2c7, (q15_t)0x7065, (q15_t)0xc2c2, (q15_t)0x7062, (q15_t)0xc2bc,
+ (q15_t)0x705f, (q15_t)0xc2b7, (q15_t)0x705c, (q15_t)0xc2b1, (q15_t)0x7059, (q15_t)0xc2ab, (q15_t)0x7056, (q15_t)0xc2a6,
+ (q15_t)0x7053, (q15_t)0xc2a0, (q15_t)0x7050, (q15_t)0xc29b, (q15_t)0x704d, (q15_t)0xc295, (q15_t)0x704a, (q15_t)0xc290,
+ (q15_t)0x7047, (q15_t)0xc28a, (q15_t)0x7044, (q15_t)0xc285, (q15_t)0x7041, (q15_t)0xc27f, (q15_t)0x703e, (q15_t)0xc27a,
+ (q15_t)0x703b, (q15_t)0xc274, (q15_t)0x7038, (q15_t)0xc26f, (q15_t)0x7035, (q15_t)0xc269, (q15_t)0x7032, (q15_t)0xc264,
+ (q15_t)0x702f, (q15_t)0xc25e, (q15_t)0x702c, (q15_t)0xc259, (q15_t)0x7029, (q15_t)0xc253, (q15_t)0x7026, (q15_t)0xc24e,
+ (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x7020, (q15_t)0xc243, (q15_t)0x701d, (q15_t)0xc23d, (q15_t)0x7019, (q15_t)0xc238,
+ (q15_t)0x7016, (q15_t)0xc232, (q15_t)0x7013, (q15_t)0xc22d, (q15_t)0x7010, (q15_t)0xc227, (q15_t)0x700d, (q15_t)0xc222,
+ (q15_t)0x700a, (q15_t)0xc21c, (q15_t)0x7007, (q15_t)0xc217, (q15_t)0x7004, (q15_t)0xc211, (q15_t)0x7001, (q15_t)0xc20c,
+ (q15_t)0x6ffe, (q15_t)0xc206, (q15_t)0x6ffb, (q15_t)0xc201, (q15_t)0x6ff8, (q15_t)0xc1fb, (q15_t)0x6ff5, (q15_t)0xc1f6,
+ (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fef, (q15_t)0xc1eb, (q15_t)0x6fec, (q15_t)0xc1e5, (q15_t)0x6fe9, (q15_t)0xc1e0,
+ (q15_t)0x6fe6, (q15_t)0xc1da, (q15_t)0x6fe3, (q15_t)0xc1d5, (q15_t)0x6fe0, (q15_t)0xc1cf, (q15_t)0x6fdd, (q15_t)0xc1ca,
+ (q15_t)0x6fda, (q15_t)0xc1c4, (q15_t)0x6fd6, (q15_t)0xc1bf, (q15_t)0x6fd3, (q15_t)0xc1b9, (q15_t)0x6fd0, (q15_t)0xc1b4,
+ (q15_t)0x6fcd, (q15_t)0xc1ae, (q15_t)0x6fca, (q15_t)0xc1a9, (q15_t)0x6fc7, (q15_t)0xc1a3, (q15_t)0x6fc4, (q15_t)0xc19e,
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+ (q15_t)0x6fa9, (q15_t)0xc16d, (q15_t)0x6fa5, (q15_t)0xc167, (q15_t)0x6fa2, (q15_t)0xc162, (q15_t)0x6f9f, (q15_t)0xc15c,
+ (q15_t)0x6f9c, (q15_t)0xc157, (q15_t)0x6f99, (q15_t)0xc151, (q15_t)0x6f96, (q15_t)0xc14c, (q15_t)0x6f93, (q15_t)0xc146,
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+ (q15_t)0x6f84, (q15_t)0xc12b, (q15_t)0x6f81, (q15_t)0xc125, (q15_t)0x6f7d, (q15_t)0xc120, (q15_t)0x6f7a, (q15_t)0xc11a,
+ (q15_t)0x6f77, (q15_t)0xc115, (q15_t)0x6f74, (q15_t)0xc10f, (q15_t)0x6f71, (q15_t)0xc10a, (q15_t)0x6f6e, (q15_t)0xc105,
+ (q15_t)0x6f6b, (q15_t)0xc0ff, (q15_t)0x6f68, (q15_t)0xc0fa, (q15_t)0x6f65, (q15_t)0xc0f4, (q15_t)0x6f62, (q15_t)0xc0ef,
+ (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f5b, (q15_t)0xc0e4, (q15_t)0x6f58, (q15_t)0xc0de, (q15_t)0x6f55, (q15_t)0xc0d9,
+ (q15_t)0x6f52, (q15_t)0xc0d3, (q15_t)0x6f4f, (q15_t)0xc0ce, (q15_t)0x6f4c, (q15_t)0xc0c8, (q15_t)0x6f49, (q15_t)0xc0c3,
+ (q15_t)0x6f46, (q15_t)0xc0bd, (q15_t)0x6f43, (q15_t)0xc0b8, (q15_t)0x6f3f, (q15_t)0xc0b3, (q15_t)0x6f3c, (q15_t)0xc0ad,
+ (q15_t)0x6f39, (q15_t)0xc0a8, (q15_t)0x6f36, (q15_t)0xc0a2, (q15_t)0x6f33, (q15_t)0xc09d, (q15_t)0x6f30, (q15_t)0xc097,
+ (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6f2a, (q15_t)0xc08c, (q15_t)0x6f27, (q15_t)0xc087, (q15_t)0x6f23, (q15_t)0xc081,
+ (q15_t)0x6f20, (q15_t)0xc07c, (q15_t)0x6f1d, (q15_t)0xc077, (q15_t)0x6f1a, (q15_t)0xc071, (q15_t)0x6f17, (q15_t)0xc06c,
+ (q15_t)0x6f14, (q15_t)0xc066, (q15_t)0x6f11, (q15_t)0xc061, (q15_t)0x6f0e, (q15_t)0xc05b, (q15_t)0x6f0b, (q15_t)0xc056,
+ (q15_t)0x6f07, (q15_t)0xc050, (q15_t)0x6f04, (q15_t)0xc04b, (q15_t)0x6f01, (q15_t)0xc045, (q15_t)0x6efe, (q15_t)0xc040,
+ (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6ef8, (q15_t)0xc035, (q15_t)0x6ef5, (q15_t)0xc030, (q15_t)0x6ef1, (q15_t)0xc02a,
+ (q15_t)0x6eee, (q15_t)0xc025, (q15_t)0x6eeb, (q15_t)0xc01f, (q15_t)0x6ee8, (q15_t)0xc01a, (q15_t)0x6ee5, (q15_t)0xc014,
+ (q15_t)0x6ee2, (q15_t)0xc00f, (q15_t)0x6edf, (q15_t)0xc00a, (q15_t)0x6edc, (q15_t)0xc004, (q15_t)0x6ed8, (q15_t)0xbfff,
+ (q15_t)0x6ed5, (q15_t)0xbff9, (q15_t)0x6ed2, (q15_t)0xbff4, (q15_t)0x6ecf, (q15_t)0xbfee, (q15_t)0x6ecc, (q15_t)0xbfe9,
+ (q15_t)0x6ec9, (q15_t)0xbfe3, (q15_t)0x6ec6, (q15_t)0xbfde, (q15_t)0x6ec2, (q15_t)0xbfd9, (q15_t)0x6ebf, (q15_t)0xbfd3,
+ (q15_t)0x6ebc, (q15_t)0xbfce, (q15_t)0x6eb9, (q15_t)0xbfc8, (q15_t)0x6eb6, (q15_t)0xbfc3, (q15_t)0x6eb3, (q15_t)0xbfbd,
+ (q15_t)0x6eaf, (q15_t)0xbfb8, (q15_t)0x6eac, (q15_t)0xbfb3, (q15_t)0x6ea9, (q15_t)0xbfad, (q15_t)0x6ea6, (q15_t)0xbfa8,
+ (q15_t)0x6ea3, (q15_t)0xbfa2, (q15_t)0x6ea0, (q15_t)0xbf9d, (q15_t)0x6e9c, (q15_t)0xbf97, (q15_t)0x6e99, (q15_t)0xbf92,
+ (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e93, (q15_t)0xbf87, (q15_t)0x6e90, (q15_t)0xbf82, (q15_t)0x6e8d, (q15_t)0xbf7c,
+ (q15_t)0x6e89, (q15_t)0xbf77, (q15_t)0x6e86, (q15_t)0xbf71, (q15_t)0x6e83, (q15_t)0xbf6c, (q15_t)0x6e80, (q15_t)0xbf67,
+ (q15_t)0x6e7d, (q15_t)0xbf61, (q15_t)0x6e7a, (q15_t)0xbf5c, (q15_t)0x6e76, (q15_t)0xbf56, (q15_t)0x6e73, (q15_t)0xbf51,
+ (q15_t)0x6e70, (q15_t)0xbf4b, (q15_t)0x6e6d, (q15_t)0xbf46, (q15_t)0x6e6a, (q15_t)0xbf41, (q15_t)0x6e67, (q15_t)0xbf3b,
+ (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e60, (q15_t)0xbf30, (q15_t)0x6e5d, (q15_t)0xbf2b, (q15_t)0x6e5a, (q15_t)0xbf26,
+ (q15_t)0x6e57, (q15_t)0xbf20, (q15_t)0x6e53, (q15_t)0xbf1b, (q15_t)0x6e50, (q15_t)0xbf15, (q15_t)0x6e4d, (q15_t)0xbf10,
+ (q15_t)0x6e4a, (q15_t)0xbf0a, (q15_t)0x6e47, (q15_t)0xbf05, (q15_t)0x6e44, (q15_t)0xbf00, (q15_t)0x6e40, (q15_t)0xbefa,
+ (q15_t)0x6e3d, (q15_t)0xbef5, (q15_t)0x6e3a, (q15_t)0xbeef, (q15_t)0x6e37, (q15_t)0xbeea, (q15_t)0x6e34, (q15_t)0xbee5,
+ (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6e2d, (q15_t)0xbeda, (q15_t)0x6e2a, (q15_t)0xbed4, (q15_t)0x6e27, (q15_t)0xbecf,
+ (q15_t)0x6e24, (q15_t)0xbeca, (q15_t)0x6e20, (q15_t)0xbec4, (q15_t)0x6e1d, (q15_t)0xbebf, (q15_t)0x6e1a, (q15_t)0xbeb9,
+ (q15_t)0x6e17, (q15_t)0xbeb4, (q15_t)0x6e14, (q15_t)0xbeae, (q15_t)0x6e10, (q15_t)0xbea9, (q15_t)0x6e0d, (q15_t)0xbea4,
+ (q15_t)0x6e0a, (q15_t)0xbe9e, (q15_t)0x6e07, (q15_t)0xbe99, (q15_t)0x6e04, (q15_t)0xbe93, (q15_t)0x6e00, (q15_t)0xbe8e,
+ (q15_t)0x6dfd, (q15_t)0xbe89, (q15_t)0x6dfa, (q15_t)0xbe83, (q15_t)0x6df7, (q15_t)0xbe7e, (q15_t)0x6df3, (q15_t)0xbe78,
+ (q15_t)0x6df0, (q15_t)0xbe73, (q15_t)0x6ded, (q15_t)0xbe6e, (q15_t)0x6dea, (q15_t)0xbe68, (q15_t)0x6de7, (q15_t)0xbe63,
+ (q15_t)0x6de3, (q15_t)0xbe5e, (q15_t)0x6de0, (q15_t)0xbe58, (q15_t)0x6ddd, (q15_t)0xbe53, (q15_t)0x6dda, (q15_t)0xbe4d,
+ (q15_t)0x6dd6, (q15_t)0xbe48, (q15_t)0x6dd3, (q15_t)0xbe43, (q15_t)0x6dd0, (q15_t)0xbe3d, (q15_t)0x6dcd, (q15_t)0xbe38,
+ (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6dc6, (q15_t)0xbe2d, (q15_t)0x6dc3, (q15_t)0xbe28, (q15_t)0x6dc0, (q15_t)0xbe22,
+ (q15_t)0x6dbd, (q15_t)0xbe1d, (q15_t)0x6db9, (q15_t)0xbe17, (q15_t)0x6db6, (q15_t)0xbe12, (q15_t)0x6db3, (q15_t)0xbe0d,
+ (q15_t)0x6db0, (q15_t)0xbe07, (q15_t)0x6dac, (q15_t)0xbe02, (q15_t)0x6da9, (q15_t)0xbdfd, (q15_t)0x6da6, (q15_t)0xbdf7,
+ (q15_t)0x6da3, (q15_t)0xbdf2, (q15_t)0x6d9f, (q15_t)0xbdec, (q15_t)0x6d9c, (q15_t)0xbde7, (q15_t)0x6d99, (q15_t)0xbde2,
+ (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d92, (q15_t)0xbdd7, (q15_t)0x6d8f, (q15_t)0xbdd1, (q15_t)0x6d8c, (q15_t)0xbdcc,
+ (q15_t)0x6d89, (q15_t)0xbdc7, (q15_t)0x6d85, (q15_t)0xbdc1, (q15_t)0x6d82, (q15_t)0xbdbc, (q15_t)0x6d7f, (q15_t)0xbdb7,
+ (q15_t)0x6d7c, (q15_t)0xbdb1, (q15_t)0x6d78, (q15_t)0xbdac, (q15_t)0x6d75, (q15_t)0xbda6, (q15_t)0x6d72, (q15_t)0xbda1,
+ (q15_t)0x6d6f, (q15_t)0xbd9c, (q15_t)0x6d6b, (q15_t)0xbd96, (q15_t)0x6d68, (q15_t)0xbd91, (q15_t)0x6d65, (q15_t)0xbd8c,
+ (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d5e, (q15_t)0xbd81, (q15_t)0x6d5b, (q15_t)0xbd7c, (q15_t)0x6d58, (q15_t)0xbd76,
+ (q15_t)0x6d55, (q15_t)0xbd71, (q15_t)0x6d51, (q15_t)0xbd6b, (q15_t)0x6d4e, (q15_t)0xbd66, (q15_t)0x6d4b, (q15_t)0xbd61,
+ (q15_t)0x6d48, (q15_t)0xbd5b, (q15_t)0x6d44, (q15_t)0xbd56, (q15_t)0x6d41, (q15_t)0xbd51, (q15_t)0x6d3e, (q15_t)0xbd4b,
+ (q15_t)0x6d3a, (q15_t)0xbd46, (q15_t)0x6d37, (q15_t)0xbd40, (q15_t)0x6d34, (q15_t)0xbd3b, (q15_t)0x6d31, (q15_t)0xbd36,
+ (q15_t)0x6d2d, (q15_t)0xbd30, (q15_t)0x6d2a, (q15_t)0xbd2b, (q15_t)0x6d27, (q15_t)0xbd26, (q15_t)0x6d23, (q15_t)0xbd20,
+ (q15_t)0x6d20, (q15_t)0xbd1b, (q15_t)0x6d1d, (q15_t)0xbd16, (q15_t)0x6d1a, (q15_t)0xbd10, (q15_t)0x6d16, (q15_t)0xbd0b,
+ (q15_t)0x6d13, (q15_t)0xbd06, (q15_t)0x6d10, (q15_t)0xbd00, (q15_t)0x6d0c, (q15_t)0xbcfb, (q15_t)0x6d09, (q15_t)0xbcf5,
+ (q15_t)0x6d06, (q15_t)0xbcf0, (q15_t)0x6d03, (q15_t)0xbceb, (q15_t)0x6cff, (q15_t)0xbce5, (q15_t)0x6cfc, (q15_t)0xbce0,
+ (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cf5, (q15_t)0xbcd5, (q15_t)0x6cf2, (q15_t)0xbcd0, (q15_t)0x6cef, (q15_t)0xbccb,
+ (q15_t)0x6cec, (q15_t)0xbcc5, (q15_t)0x6ce8, (q15_t)0xbcc0, (q15_t)0x6ce5, (q15_t)0xbcbb, (q15_t)0x6ce2, (q15_t)0xbcb5,
+ (q15_t)0x6cde, (q15_t)0xbcb0, (q15_t)0x6cdb, (q15_t)0xbcab, (q15_t)0x6cd8, (q15_t)0xbca5, (q15_t)0x6cd4, (q15_t)0xbca0,
+ (q15_t)0x6cd1, (q15_t)0xbc9b, (q15_t)0x6cce, (q15_t)0xbc95, (q15_t)0x6cca, (q15_t)0xbc90, (q15_t)0x6cc7, (q15_t)0xbc8b,
+ (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6cc1, (q15_t)0xbc80, (q15_t)0x6cbd, (q15_t)0xbc7b, (q15_t)0x6cba, (q15_t)0xbc75,
+ (q15_t)0x6cb7, (q15_t)0xbc70, (q15_t)0x6cb3, (q15_t)0xbc6b, (q15_t)0x6cb0, (q15_t)0xbc65, (q15_t)0x6cad, (q15_t)0xbc60,
+ (q15_t)0x6ca9, (q15_t)0xbc5b, (q15_t)0x6ca6, (q15_t)0xbc55, (q15_t)0x6ca3, (q15_t)0xbc50, (q15_t)0x6c9f, (q15_t)0xbc4b,
+ (q15_t)0x6c9c, (q15_t)0xbc45, (q15_t)0x6c99, (q15_t)0xbc40, (q15_t)0x6c95, (q15_t)0xbc3b, (q15_t)0x6c92, (q15_t)0xbc35,
+ (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c8b, (q15_t)0xbc2b, (q15_t)0x6c88, (q15_t)0xbc25, (q15_t)0x6c85, (q15_t)0xbc20,
+ (q15_t)0x6c81, (q15_t)0xbc1b, (q15_t)0x6c7e, (q15_t)0xbc15, (q15_t)0x6c7b, (q15_t)0xbc10, (q15_t)0x6c77, (q15_t)0xbc0b,
+ (q15_t)0x6c74, (q15_t)0xbc05, (q15_t)0x6c71, (q15_t)0xbc00, (q15_t)0x6c6d, (q15_t)0xbbfb, (q15_t)0x6c6a, (q15_t)0xbbf5,
+ (q15_t)0x6c67, (q15_t)0xbbf0, (q15_t)0x6c63, (q15_t)0xbbeb, (q15_t)0x6c60, (q15_t)0xbbe5, (q15_t)0x6c5d, (q15_t)0xbbe0,
+ (q15_t)0x6c59, (q15_t)0xbbdb, (q15_t)0x6c56, (q15_t)0xbbd5, (q15_t)0x6c53, (q15_t)0xbbd0, (q15_t)0x6c4f, (q15_t)0xbbcb,
+ (q15_t)0x6c4c, (q15_t)0xbbc5, (q15_t)0x6c49, (q15_t)0xbbc0, (q15_t)0x6c45, (q15_t)0xbbbb, (q15_t)0x6c42, (q15_t)0xbbb5,
+ (q15_t)0x6c3f, (q15_t)0xbbb0, (q15_t)0x6c3b, (q15_t)0xbbab, (q15_t)0x6c38, (q15_t)0xbba6, (q15_t)0x6c34, (q15_t)0xbba0,
+ (q15_t)0x6c31, (q15_t)0xbb9b, (q15_t)0x6c2e, (q15_t)0xbb96, (q15_t)0x6c2a, (q15_t)0xbb90, (q15_t)0x6c27, (q15_t)0xbb8b,
+ (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6c20, (q15_t)0xbb80, (q15_t)0x6c1d, (q15_t)0xbb7b, (q15_t)0x6c1a, (q15_t)0xbb76,
+ (q15_t)0x6c16, (q15_t)0xbb70, (q15_t)0x6c13, (q15_t)0xbb6b, (q15_t)0x6c0f, (q15_t)0xbb66, (q15_t)0x6c0c, (q15_t)0xbb61,
+ (q15_t)0x6c09, (q15_t)0xbb5b, (q15_t)0x6c05, (q15_t)0xbb56, (q15_t)0x6c02, (q15_t)0xbb51, (q15_t)0x6bff, (q15_t)0xbb4b,
+ (q15_t)0x6bfb, (q15_t)0xbb46, (q15_t)0x6bf8, (q15_t)0xbb41, (q15_t)0x6bf5, (q15_t)0xbb3b, (q15_t)0x6bf1, (q15_t)0xbb36,
+ (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6bea, (q15_t)0xbb2c, (q15_t)0x6be7, (q15_t)0xbb26, (q15_t)0x6be4, (q15_t)0xbb21,
+ (q15_t)0x6be0, (q15_t)0xbb1c, (q15_t)0x6bdd, (q15_t)0xbb16, (q15_t)0x6bd9, (q15_t)0xbb11, (q15_t)0x6bd6, (q15_t)0xbb0c,
+ (q15_t)0x6bd3, (q15_t)0xbb06, (q15_t)0x6bcf, (q15_t)0xbb01, (q15_t)0x6bcc, (q15_t)0xbafc, (q15_t)0x6bc9, (q15_t)0xbaf7,
+ (q15_t)0x6bc5, (q15_t)0xbaf1, (q15_t)0x6bc2, (q15_t)0xbaec, (q15_t)0x6bbe, (q15_t)0xbae7, (q15_t)0x6bbb, (q15_t)0xbae1,
+ (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6bb4, (q15_t)0xbad7, (q15_t)0x6bb1, (q15_t)0xbad2, (q15_t)0x6bad, (q15_t)0xbacc,
+ (q15_t)0x6baa, (q15_t)0xbac7, (q15_t)0x6ba7, (q15_t)0xbac2, (q15_t)0x6ba3, (q15_t)0xbabc, (q15_t)0x6ba0, (q15_t)0xbab7,
+ (q15_t)0x6b9c, (q15_t)0xbab2, (q15_t)0x6b99, (q15_t)0xbaad, (q15_t)0x6b96, (q15_t)0xbaa7, (q15_t)0x6b92, (q15_t)0xbaa2,
+ (q15_t)0x6b8f, (q15_t)0xba9d, (q15_t)0x6b8b, (q15_t)0xba97, (q15_t)0x6b88, (q15_t)0xba92, (q15_t)0x6b85, (q15_t)0xba8d,
+ (q15_t)0x6b81, (q15_t)0xba88, (q15_t)0x6b7e, (q15_t)0xba82, (q15_t)0x6b7a, (q15_t)0xba7d, (q15_t)0x6b77, (q15_t)0xba78,
+ (q15_t)0x6b73, (q15_t)0xba73, (q15_t)0x6b70, (q15_t)0xba6d, (q15_t)0x6b6d, (q15_t)0xba68, (q15_t)0x6b69, (q15_t)0xba63,
+ (q15_t)0x6b66, (q15_t)0xba5d, (q15_t)0x6b62, (q15_t)0xba58, (q15_t)0x6b5f, (q15_t)0xba53, (q15_t)0x6b5c, (q15_t)0xba4e,
+ (q15_t)0x6b58, (q15_t)0xba48, (q15_t)0x6b55, (q15_t)0xba43, (q15_t)0x6b51, (q15_t)0xba3e, (q15_t)0x6b4e, (q15_t)0xba39,
+ (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b47, (q15_t)0xba2e, (q15_t)0x6b44, (q15_t)0xba29, (q15_t)0x6b40, (q15_t)0xba23,
+ (q15_t)0x6b3d, (q15_t)0xba1e, (q15_t)0x6b39, (q15_t)0xba19, (q15_t)0x6b36, (q15_t)0xba14, (q15_t)0x6b32, (q15_t)0xba0e,
+ (q15_t)0x6b2f, (q15_t)0xba09, (q15_t)0x6b2c, (q15_t)0xba04, (q15_t)0x6b28, (q15_t)0xb9ff, (q15_t)0x6b25, (q15_t)0xb9f9,
+ (q15_t)0x6b21, (q15_t)0xb9f4, (q15_t)0x6b1e, (q15_t)0xb9ef, (q15_t)0x6b1a, (q15_t)0xb9ea, (q15_t)0x6b17, (q15_t)0xb9e4,
+ (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6b10, (q15_t)0xb9da, (q15_t)0x6b0d, (q15_t)0xb9d5, (q15_t)0x6b09, (q15_t)0xb9cf,
+ (q15_t)0x6b06, (q15_t)0xb9ca, (q15_t)0x6b02, (q15_t)0xb9c5, (q15_t)0x6aff, (q15_t)0xb9c0, (q15_t)0x6afb, (q15_t)0xb9ba,
+ (q15_t)0x6af8, (q15_t)0xb9b5, (q15_t)0x6af4, (q15_t)0xb9b0, (q15_t)0x6af1, (q15_t)0xb9ab, (q15_t)0x6aee, (q15_t)0xb9a5,
+ (q15_t)0x6aea, (q15_t)0xb9a0, (q15_t)0x6ae7, (q15_t)0xb99b, (q15_t)0x6ae3, (q15_t)0xb996, (q15_t)0x6ae0, (q15_t)0xb990,
+ (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6ad9, (q15_t)0xb986, (q15_t)0x6ad5, (q15_t)0xb981, (q15_t)0x6ad2, (q15_t)0xb97b,
+ (q15_t)0x6ace, (q15_t)0xb976, (q15_t)0x6acb, (q15_t)0xb971, (q15_t)0x6ac8, (q15_t)0xb96c, (q15_t)0x6ac4, (q15_t)0xb966,
+ (q15_t)0x6ac1, (q15_t)0xb961, (q15_t)0x6abd, (q15_t)0xb95c, (q15_t)0x6aba, (q15_t)0xb957, (q15_t)0x6ab6, (q15_t)0xb951,
+ (q15_t)0x6ab3, (q15_t)0xb94c, (q15_t)0x6aaf, (q15_t)0xb947, (q15_t)0x6aac, (q15_t)0xb942, (q15_t)0x6aa8, (q15_t)0xb93c,
+ (q15_t)0x6aa5, (q15_t)0xb937, (q15_t)0x6aa1, (q15_t)0xb932, (q15_t)0x6a9e, (q15_t)0xb92d, (q15_t)0x6a9a, (q15_t)0xb928,
+ (q15_t)0x6a97, (q15_t)0xb922, (q15_t)0x6a93, (q15_t)0xb91d, (q15_t)0x6a90, (q15_t)0xb918, (q15_t)0x6a8c, (q15_t)0xb913,
+ (q15_t)0x6a89, (q15_t)0xb90d, (q15_t)0x6a86, (q15_t)0xb908, (q15_t)0x6a82, (q15_t)0xb903, (q15_t)0x6a7f, (q15_t)0xb8fe,
+ (q15_t)0x6a7b, (q15_t)0xb8f8, (q15_t)0x6a78, (q15_t)0xb8f3, (q15_t)0x6a74, (q15_t)0xb8ee, (q15_t)0x6a71, (q15_t)0xb8e9,
+ (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a6a, (q15_t)0xb8de, (q15_t)0x6a66, (q15_t)0xb8d9, (q15_t)0x6a63, (q15_t)0xb8d4,
+ (q15_t)0x6a5f, (q15_t)0xb8cf, (q15_t)0x6a5c, (q15_t)0xb8c9, (q15_t)0x6a58, (q15_t)0xb8c4, (q15_t)0x6a55, (q15_t)0xb8bf,
+ (q15_t)0x6a51, (q15_t)0xb8ba, (q15_t)0x6a4e, (q15_t)0xb8b5, (q15_t)0x6a4a, (q15_t)0xb8af, (q15_t)0x6a47, (q15_t)0xb8aa,
+ (q15_t)0x6a43, (q15_t)0xb8a5, (q15_t)0x6a40, (q15_t)0xb8a0, (q15_t)0x6a3c, (q15_t)0xb89b, (q15_t)0x6a39, (q15_t)0xb895,
+ (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x6a32, (q15_t)0xb88b, (q15_t)0x6a2e, (q15_t)0xb886, (q15_t)0x6a2b, (q15_t)0xb880,
+ (q15_t)0x6a27, (q15_t)0xb87b, (q15_t)0x6a24, (q15_t)0xb876, (q15_t)0x6a20, (q15_t)0xb871, (q15_t)0x6a1d, (q15_t)0xb86c,
+ (q15_t)0x6a19, (q15_t)0xb866, (q15_t)0x6a16, (q15_t)0xb861, (q15_t)0x6a12, (q15_t)0xb85c, (q15_t)0x6a0e, (q15_t)0xb857,
+ (q15_t)0x6a0b, (q15_t)0xb852, (q15_t)0x6a07, (q15_t)0xb84c, (q15_t)0x6a04, (q15_t)0xb847, (q15_t)0x6a00, (q15_t)0xb842,
+ (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69f9, (q15_t)0xb838, (q15_t)0x69f6, (q15_t)0xb832, (q15_t)0x69f2, (q15_t)0xb82d,
+ (q15_t)0x69ef, (q15_t)0xb828, (q15_t)0x69eb, (q15_t)0xb823, (q15_t)0x69e8, (q15_t)0xb81e, (q15_t)0x69e4, (q15_t)0xb818,
+ (q15_t)0x69e1, (q15_t)0xb813, (q15_t)0x69dd, (q15_t)0xb80e, (q15_t)0x69da, (q15_t)0xb809, (q15_t)0x69d6, (q15_t)0xb804,
+ (q15_t)0x69d3, (q15_t)0xb7fe, (q15_t)0x69cf, (q15_t)0xb7f9, (q15_t)0x69cb, (q15_t)0xb7f4, (q15_t)0x69c8, (q15_t)0xb7ef,
+ (q15_t)0x69c4, (q15_t)0xb7ea, (q15_t)0x69c1, (q15_t)0xb7e4, (q15_t)0x69bd, (q15_t)0xb7df, (q15_t)0x69ba, (q15_t)0xb7da,
+ (q15_t)0x69b6, (q15_t)0xb7d5, (q15_t)0x69b3, (q15_t)0xb7d0, (q15_t)0x69af, (q15_t)0xb7ca, (q15_t)0x69ac, (q15_t)0xb7c5,
+ (q15_t)0x69a8, (q15_t)0xb7c0, (q15_t)0x69a5, (q15_t)0xb7bb, (q15_t)0x69a1, (q15_t)0xb7b6, (q15_t)0x699d, (q15_t)0xb7b1,
+ (q15_t)0x699a, (q15_t)0xb7ab, (q15_t)0x6996, (q15_t)0xb7a6, (q15_t)0x6993, (q15_t)0xb7a1, (q15_t)0x698f, (q15_t)0xb79c,
+ (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x6988, (q15_t)0xb791, (q15_t)0x6985, (q15_t)0xb78c, (q15_t)0x6981, (q15_t)0xb787,
+ (q15_t)0x697d, (q15_t)0xb782, (q15_t)0x697a, (q15_t)0xb77d, (q15_t)0x6976, (q15_t)0xb778, (q15_t)0x6973, (q15_t)0xb772,
+ (q15_t)0x696f, (q15_t)0xb76d, (q15_t)0x696c, (q15_t)0xb768, (q15_t)0x6968, (q15_t)0xb763, (q15_t)0x6964, (q15_t)0xb75e,
+ (q15_t)0x6961, (q15_t)0xb758, (q15_t)0x695d, (q15_t)0xb753, (q15_t)0x695a, (q15_t)0xb74e, (q15_t)0x6956, (q15_t)0xb749,
+ (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x694f, (q15_t)0xb73f, (q15_t)0x694b, (q15_t)0xb739, (q15_t)0x6948, (q15_t)0xb734,
+ (q15_t)0x6944, (q15_t)0xb72f, (q15_t)0x6941, (q15_t)0xb72a, (q15_t)0x693d, (q15_t)0xb725, (q15_t)0x693a, (q15_t)0xb720,
+ (q15_t)0x6936, (q15_t)0xb71a, (q15_t)0x6932, (q15_t)0xb715, (q15_t)0x692f, (q15_t)0xb710, (q15_t)0x692b, (q15_t)0xb70b,
+ (q15_t)0x6928, (q15_t)0xb706, (q15_t)0x6924, (q15_t)0xb701, (q15_t)0x6921, (q15_t)0xb6fb, (q15_t)0x691d, (q15_t)0xb6f6,
+ (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x6916, (q15_t)0xb6ec, (q15_t)0x6912, (q15_t)0xb6e7, (q15_t)0x690f, (q15_t)0xb6e2,
+ (q15_t)0x690b, (q15_t)0xb6dd, (q15_t)0x6907, (q15_t)0xb6d7, (q15_t)0x6904, (q15_t)0xb6d2, (q15_t)0x6900, (q15_t)0xb6cd,
+ (q15_t)0x68fd, (q15_t)0xb6c8, (q15_t)0x68f9, (q15_t)0xb6c3, (q15_t)0x68f5, (q15_t)0xb6be, (q15_t)0x68f2, (q15_t)0xb6b8,
+ (q15_t)0x68ee, (q15_t)0xb6b3, (q15_t)0x68eb, (q15_t)0xb6ae, (q15_t)0x68e7, (q15_t)0xb6a9, (q15_t)0x68e3, (q15_t)0xb6a4,
+ (q15_t)0x68e0, (q15_t)0xb69f, (q15_t)0x68dc, (q15_t)0xb69a, (q15_t)0x68d9, (q15_t)0xb694, (q15_t)0x68d5, (q15_t)0xb68f,
+ (q15_t)0x68d1, (q15_t)0xb68a, (q15_t)0x68ce, (q15_t)0xb685, (q15_t)0x68ca, (q15_t)0xb680, (q15_t)0x68c7, (q15_t)0xb67b,
+ (q15_t)0x68c3, (q15_t)0xb676, (q15_t)0x68bf, (q15_t)0xb670, (q15_t)0x68bc, (q15_t)0xb66b, (q15_t)0x68b8, (q15_t)0xb666,
+ (q15_t)0x68b5, (q15_t)0xb661, (q15_t)0x68b1, (q15_t)0xb65c, (q15_t)0x68ad, (q15_t)0xb657, (q15_t)0x68aa, (q15_t)0xb652,
+ (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x68a3, (q15_t)0xb647, (q15_t)0x689f, (q15_t)0xb642, (q15_t)0x689b, (q15_t)0xb63d,
+ (q15_t)0x6898, (q15_t)0xb638, (q15_t)0x6894, (q15_t)0xb633, (q15_t)0x6890, (q15_t)0xb62e, (q15_t)0x688d, (q15_t)0xb628,
+ (q15_t)0x6889, (q15_t)0xb623, (q15_t)0x6886, (q15_t)0xb61e, (q15_t)0x6882, (q15_t)0xb619, (q15_t)0x687e, (q15_t)0xb614,
+ (q15_t)0x687b, (q15_t)0xb60f, (q15_t)0x6877, (q15_t)0xb60a, (q15_t)0x6873, (q15_t)0xb605, (q15_t)0x6870, (q15_t)0xb5ff,
+ (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x6868, (q15_t)0xb5f5, (q15_t)0x6865, (q15_t)0xb5f0, (q15_t)0x6861, (q15_t)0xb5eb,
+ (q15_t)0x685e, (q15_t)0xb5e6, (q15_t)0x685a, (q15_t)0xb5e1, (q15_t)0x6856, (q15_t)0xb5dc, (q15_t)0x6853, (q15_t)0xb5d6,
+ (q15_t)0x684f, (q15_t)0xb5d1, (q15_t)0x684b, (q15_t)0xb5cc, (q15_t)0x6848, (q15_t)0xb5c7, (q15_t)0x6844, (q15_t)0xb5c2,
+ (q15_t)0x6840, (q15_t)0xb5bd, (q15_t)0x683d, (q15_t)0xb5b8, (q15_t)0x6839, (q15_t)0xb5b3, (q15_t)0x6835, (q15_t)0xb5ae,
+ (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x682e, (q15_t)0xb5a3, (q15_t)0x682b, (q15_t)0xb59e, (q15_t)0x6827, (q15_t)0xb599,
+ (q15_t)0x6823, (q15_t)0xb594, (q15_t)0x6820, (q15_t)0xb58f, (q15_t)0x681c, (q15_t)0xb58a, (q15_t)0x6818, (q15_t)0xb585,
+ (q15_t)0x6815, (q15_t)0xb57f, (q15_t)0x6811, (q15_t)0xb57a, (q15_t)0x680d, (q15_t)0xb575, (q15_t)0x680a, (q15_t)0xb570,
+ (q15_t)0x6806, (q15_t)0xb56b, (q15_t)0x6802, (q15_t)0xb566, (q15_t)0x67ff, (q15_t)0xb561, (q15_t)0x67fb, (q15_t)0xb55c,
+ (q15_t)0x67f7, (q15_t)0xb557, (q15_t)0x67f4, (q15_t)0xb552, (q15_t)0x67f0, (q15_t)0xb54c, (q15_t)0x67ec, (q15_t)0xb547,
+ (q15_t)0x67e9, (q15_t)0xb542, (q15_t)0x67e5, (q15_t)0xb53d, (q15_t)0x67e1, (q15_t)0xb538, (q15_t)0x67de, (q15_t)0xb533,
+ (q15_t)0x67da, (q15_t)0xb52e, (q15_t)0x67d6, (q15_t)0xb529, (q15_t)0x67d3, (q15_t)0xb524, (q15_t)0x67cf, (q15_t)0xb51f,
+ (q15_t)0x67cb, (q15_t)0xb519, (q15_t)0x67c8, (q15_t)0xb514, (q15_t)0x67c4, (q15_t)0xb50f, (q15_t)0x67c0, (q15_t)0xb50a,
+ (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x67b9, (q15_t)0xb500, (q15_t)0x67b5, (q15_t)0xb4fb, (q15_t)0x67b2, (q15_t)0xb4f6,
+ (q15_t)0x67ae, (q15_t)0xb4f1, (q15_t)0x67aa, (q15_t)0xb4ec, (q15_t)0x67a6, (q15_t)0xb4e7, (q15_t)0x67a3, (q15_t)0xb4e1,
+ (q15_t)0x679f, (q15_t)0xb4dc, (q15_t)0x679b, (q15_t)0xb4d7, (q15_t)0x6798, (q15_t)0xb4d2, (q15_t)0x6794, (q15_t)0xb4cd,
+ (q15_t)0x6790, (q15_t)0xb4c8, (q15_t)0x678d, (q15_t)0xb4c3, (q15_t)0x6789, (q15_t)0xb4be, (q15_t)0x6785, (q15_t)0xb4b9,
+ (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x677e, (q15_t)0xb4af, (q15_t)0x677a, (q15_t)0xb4aa, (q15_t)0x6776, (q15_t)0xb4a4,
+ (q15_t)0x6773, (q15_t)0xb49f, (q15_t)0x676f, (q15_t)0xb49a, (q15_t)0x676b, (q15_t)0xb495, (q15_t)0x6768, (q15_t)0xb490,
+ (q15_t)0x6764, (q15_t)0xb48b, (q15_t)0x6760, (q15_t)0xb486, (q15_t)0x675d, (q15_t)0xb481, (q15_t)0x6759, (q15_t)0xb47c,
+ (q15_t)0x6755, (q15_t)0xb477, (q15_t)0x6751, (q15_t)0xb472, (q15_t)0x674e, (q15_t)0xb46d, (q15_t)0x674a, (q15_t)0xb468,
+ (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x6743, (q15_t)0xb45d, (q15_t)0x673f, (q15_t)0xb458, (q15_t)0x673b, (q15_t)0xb453,
+ (q15_t)0x6737, (q15_t)0xb44e, (q15_t)0x6734, (q15_t)0xb449, (q15_t)0x6730, (q15_t)0xb444, (q15_t)0x672c, (q15_t)0xb43f,
+ (q15_t)0x6729, (q15_t)0xb43a, (q15_t)0x6725, (q15_t)0xb435, (q15_t)0x6721, (q15_t)0xb430, (q15_t)0x671d, (q15_t)0xb42b,
+ (q15_t)0x671a, (q15_t)0xb426, (q15_t)0x6716, (q15_t)0xb421, (q15_t)0x6712, (q15_t)0xb41c, (q15_t)0x670e, (q15_t)0xb417,
+ (q15_t)0x670b, (q15_t)0xb411, (q15_t)0x6707, (q15_t)0xb40c, (q15_t)0x6703, (q15_t)0xb407, (q15_t)0x6700, (q15_t)0xb402,
+ (q15_t)0x66fc, (q15_t)0xb3fd, (q15_t)0x66f8, (q15_t)0xb3f8, (q15_t)0x66f4, (q15_t)0xb3f3, (q15_t)0x66f1, (q15_t)0xb3ee,
+ (q15_t)0x66ed, (q15_t)0xb3e9, (q15_t)0x66e9, (q15_t)0xb3e4, (q15_t)0x66e5, (q15_t)0xb3df, (q15_t)0x66e2, (q15_t)0xb3da,
+ (q15_t)0x66de, (q15_t)0xb3d5, (q15_t)0x66da, (q15_t)0xb3d0, (q15_t)0x66d6, (q15_t)0xb3cb, (q15_t)0x66d3, (q15_t)0xb3c6,
+ (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x66cb, (q15_t)0xb3bc, (q15_t)0x66c8, (q15_t)0xb3b7, (q15_t)0x66c4, (q15_t)0xb3b1,
+ (q15_t)0x66c0, (q15_t)0xb3ac, (q15_t)0x66bc, (q15_t)0xb3a7, (q15_t)0x66b9, (q15_t)0xb3a2, (q15_t)0x66b5, (q15_t)0xb39d,
+ (q15_t)0x66b1, (q15_t)0xb398, (q15_t)0x66ad, (q15_t)0xb393, (q15_t)0x66aa, (q15_t)0xb38e, (q15_t)0x66a6, (q15_t)0xb389,
+ (q15_t)0x66a2, (q15_t)0xb384, (q15_t)0x669e, (q15_t)0xb37f, (q15_t)0x669b, (q15_t)0xb37a, (q15_t)0x6697, (q15_t)0xb375,
+ (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x668f, (q15_t)0xb36b, (q15_t)0x668b, (q15_t)0xb366, (q15_t)0x6688, (q15_t)0xb361,
+ (q15_t)0x6684, (q15_t)0xb35c, (q15_t)0x6680, (q15_t)0xb357, (q15_t)0x667c, (q15_t)0xb352, (q15_t)0x6679, (q15_t)0xb34d,
+ (q15_t)0x6675, (q15_t)0xb348, (q15_t)0x6671, (q15_t)0xb343, (q15_t)0x666d, (q15_t)0xb33e, (q15_t)0x666a, (q15_t)0xb339,
+ (q15_t)0x6666, (q15_t)0xb334, (q15_t)0x6662, (q15_t)0xb32f, (q15_t)0x665e, (q15_t)0xb32a, (q15_t)0x665b, (q15_t)0xb325,
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+ (q15_t)0x611d, (q15_t)0xac9e, (q15_t)0x6119, (q15_t)0xac9a, (q15_t)0x6115, (q15_t)0xac95, (q15_t)0x6111, (q15_t)0xac90,
+ (q15_t)0x610d, (q15_t)0xac8b, (q15_t)0x6108, (q15_t)0xac87, (q15_t)0x6104, (q15_t)0xac82, (q15_t)0x6100, (q15_t)0xac7d,
+ (q15_t)0x60fc, (q15_t)0xac78, (q15_t)0x60f8, (q15_t)0xac74, (q15_t)0x60f4, (q15_t)0xac6f, (q15_t)0x60f0, (q15_t)0xac6a,
+ (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60e8, (q15_t)0xac61, (q15_t)0x60e4, (q15_t)0xac5c, (q15_t)0x60df, (q15_t)0xac57,
+ (q15_t)0x60db, (q15_t)0xac52, (q15_t)0x60d7, (q15_t)0xac4e, (q15_t)0x60d3, (q15_t)0xac49, (q15_t)0x60cf, (q15_t)0xac44,
+ (q15_t)0x60cb, (q15_t)0xac3f, (q15_t)0x60c7, (q15_t)0xac3b, (q15_t)0x60c3, (q15_t)0xac36, (q15_t)0x60bf, (q15_t)0xac31,
+ (q15_t)0x60ba, (q15_t)0xac2c, (q15_t)0x60b6, (q15_t)0xac28, (q15_t)0x60b2, (q15_t)0xac23, (q15_t)0x60ae, (q15_t)0xac1e,
+ (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x60a6, (q15_t)0xac15, (q15_t)0x60a2, (q15_t)0xac10, (q15_t)0x609e, (q15_t)0xac0b,
+ (q15_t)0x6099, (q15_t)0xac06, (q15_t)0x6095, (q15_t)0xac02, (q15_t)0x6091, (q15_t)0xabfd, (q15_t)0x608d, (q15_t)0xabf8,
+ (q15_t)0x6089, (q15_t)0xabf3, (q15_t)0x6085, (q15_t)0xabef, (q15_t)0x6081, (q15_t)0xabea, (q15_t)0x607d, (q15_t)0xabe5,
+ (q15_t)0x6078, (q15_t)0xabe0, (q15_t)0x6074, (q15_t)0xabdc, (q15_t)0x6070, (q15_t)0xabd7, (q15_t)0x606c, (q15_t)0xabd2,
+ (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6064, (q15_t)0xabc9, (q15_t)0x6060, (q15_t)0xabc4, (q15_t)0x605c, (q15_t)0xabbf,
+ (q15_t)0x6057, (q15_t)0xabbb, (q15_t)0x6053, (q15_t)0xabb6, (q15_t)0x604f, (q15_t)0xabb1, (q15_t)0x604b, (q15_t)0xabac,
+ (q15_t)0x6047, (q15_t)0xaba8, (q15_t)0x6043, (q15_t)0xaba3, (q15_t)0x603f, (q15_t)0xab9e, (q15_t)0x603a, (q15_t)0xab99,
+ (q15_t)0x6036, (q15_t)0xab95, (q15_t)0x6032, (q15_t)0xab90, (q15_t)0x602e, (q15_t)0xab8b, (q15_t)0x602a, (q15_t)0xab87,
+ (q15_t)0x6026, (q15_t)0xab82, (q15_t)0x6022, (q15_t)0xab7d, (q15_t)0x601d, (q15_t)0xab78, (q15_t)0x6019, (q15_t)0xab74,
+ (q15_t)0x6015, (q15_t)0xab6f, (q15_t)0x6011, (q15_t)0xab6a, (q15_t)0x600d, (q15_t)0xab66, (q15_t)0x6009, (q15_t)0xab61,
+ (q15_t)0x6004, (q15_t)0xab5c, (q15_t)0x6000, (q15_t)0xab57, (q15_t)0x5ffc, (q15_t)0xab53, (q15_t)0x5ff8, (q15_t)0xab4e,
+ (q15_t)0x5ff4, (q15_t)0xab49, (q15_t)0x5ff0, (q15_t)0xab45, (q15_t)0x5fec, (q15_t)0xab40, (q15_t)0x5fe7, (q15_t)0xab3b,
+ (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fdf, (q15_t)0xab32, (q15_t)0x5fdb, (q15_t)0xab2d, (q15_t)0x5fd7, (q15_t)0xab28,
+ (q15_t)0x5fd3, (q15_t)0xab24, (q15_t)0x5fce, (q15_t)0xab1f, (q15_t)0x5fca, (q15_t)0xab1a, (q15_t)0x5fc6, (q15_t)0xab16,
+ (q15_t)0x5fc2, (q15_t)0xab11, (q15_t)0x5fbe, (q15_t)0xab0c, (q15_t)0x5fba, (q15_t)0xab07, (q15_t)0x5fb5, (q15_t)0xab03,
+ (q15_t)0x5fb1, (q15_t)0xaafe, (q15_t)0x5fad, (q15_t)0xaaf9, (q15_t)0x5fa9, (q15_t)0xaaf5, (q15_t)0x5fa5, (q15_t)0xaaf0,
+ (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f9c, (q15_t)0xaae7, (q15_t)0x5f98, (q15_t)0xaae2, (q15_t)0x5f94, (q15_t)0xaadd,
+ (q15_t)0x5f90, (q15_t)0xaad8, (q15_t)0x5f8c, (q15_t)0xaad4, (q15_t)0x5f87, (q15_t)0xaacf, (q15_t)0x5f83, (q15_t)0xaaca,
+ (q15_t)0x5f7f, (q15_t)0xaac6, (q15_t)0x5f7b, (q15_t)0xaac1, (q15_t)0x5f77, (q15_t)0xaabc, (q15_t)0x5f72, (q15_t)0xaab8,
+ (q15_t)0x5f6e, (q15_t)0xaab3, (q15_t)0x5f6a, (q15_t)0xaaae, (q15_t)0x5f66, (q15_t)0xaaaa, (q15_t)0x5f62, (q15_t)0xaaa5,
+ (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f59, (q15_t)0xaa9c, (q15_t)0x5f55, (q15_t)0xaa97, (q15_t)0x5f51, (q15_t)0xaa92,
+ (q15_t)0x5f4d, (q15_t)0xaa8e, (q15_t)0x5f49, (q15_t)0xaa89, (q15_t)0x5f44, (q15_t)0xaa84, (q15_t)0x5f40, (q15_t)0xaa7f,
+ (q15_t)0x5f3c, (q15_t)0xaa7b, (q15_t)0x5f38, (q15_t)0xaa76, (q15_t)0x5f34, (q15_t)0xaa71, (q15_t)0x5f2f, (q15_t)0xaa6d,
+ (q15_t)0x5f2b, (q15_t)0xaa68, (q15_t)0x5f27, (q15_t)0xaa63, (q15_t)0x5f23, (q15_t)0xaa5f, (q15_t)0x5f1f, (q15_t)0xaa5a,
+ (q15_t)0x5f1a, (q15_t)0xaa55, (q15_t)0x5f16, (q15_t)0xaa51, (q15_t)0x5f12, (q15_t)0xaa4c, (q15_t)0x5f0e, (q15_t)0xaa47,
+ (q15_t)0x5f0a, (q15_t)0xaa43, (q15_t)0x5f05, (q15_t)0xaa3e, (q15_t)0x5f01, (q15_t)0xaa39, (q15_t)0x5efd, (q15_t)0xaa35,
+ (q15_t)0x5ef9, (q15_t)0xaa30, (q15_t)0x5ef5, (q15_t)0xaa2b, (q15_t)0x5ef0, (q15_t)0xaa27, (q15_t)0x5eec, (q15_t)0xaa22,
+ (q15_t)0x5ee8, (q15_t)0xaa1d, (q15_t)0x5ee4, (q15_t)0xaa19, (q15_t)0x5edf, (q15_t)0xaa14, (q15_t)0x5edb, (q15_t)0xaa10,
+ (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5ed3, (q15_t)0xaa06, (q15_t)0x5ecf, (q15_t)0xaa02, (q15_t)0x5eca, (q15_t)0xa9fd,
+ (q15_t)0x5ec6, (q15_t)0xa9f8, (q15_t)0x5ec2, (q15_t)0xa9f4, (q15_t)0x5ebe, (q15_t)0xa9ef, (q15_t)0x5eb9, (q15_t)0xa9ea,
+ (q15_t)0x5eb5, (q15_t)0xa9e6, (q15_t)0x5eb1, (q15_t)0xa9e1, (q15_t)0x5ead, (q15_t)0xa9dc, (q15_t)0x5ea9, (q15_t)0xa9d8,
+ (q15_t)0x5ea4, (q15_t)0xa9d3, (q15_t)0x5ea0, (q15_t)0xa9ce, (q15_t)0x5e9c, (q15_t)0xa9ca, (q15_t)0x5e98, (q15_t)0xa9c5,
+ (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e8f, (q15_t)0xa9bc, (q15_t)0x5e8b, (q15_t)0xa9b7, (q15_t)0x5e87, (q15_t)0xa9b3,
+ (q15_t)0x5e82, (q15_t)0xa9ae, (q15_t)0x5e7e, (q15_t)0xa9a9, (q15_t)0x5e7a, (q15_t)0xa9a5, (q15_t)0x5e76, (q15_t)0xa9a0,
+ (q15_t)0x5e71, (q15_t)0xa99b, (q15_t)0x5e6d, (q15_t)0xa997, (q15_t)0x5e69, (q15_t)0xa992, (q15_t)0x5e65, (q15_t)0xa98d,
+ (q15_t)0x5e60, (q15_t)0xa989, (q15_t)0x5e5c, (q15_t)0xa984, (q15_t)0x5e58, (q15_t)0xa980, (q15_t)0x5e54, (q15_t)0xa97b,
+ (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e4b, (q15_t)0xa972, (q15_t)0x5e47, (q15_t)0xa96d, (q15_t)0x5e43, (q15_t)0xa968,
+ (q15_t)0x5e3f, (q15_t)0xa964, (q15_t)0x5e3a, (q15_t)0xa95f, (q15_t)0x5e36, (q15_t)0xa95b, (q15_t)0x5e32, (q15_t)0xa956,
+ (q15_t)0x5e2d, (q15_t)0xa951, (q15_t)0x5e29, (q15_t)0xa94d, (q15_t)0x5e25, (q15_t)0xa948, (q15_t)0x5e21, (q15_t)0xa943,
+ (q15_t)0x5e1c, (q15_t)0xa93f, (q15_t)0x5e18, (q15_t)0xa93a, (q15_t)0x5e14, (q15_t)0xa936, (q15_t)0x5e10, (q15_t)0xa931,
+ (q15_t)0x5e0b, (q15_t)0xa92c, (q15_t)0x5e07, (q15_t)0xa928, (q15_t)0x5e03, (q15_t)0xa923, (q15_t)0x5dff, (q15_t)0xa91e,
+ (q15_t)0x5dfa, (q15_t)0xa91a, (q15_t)0x5df6, (q15_t)0xa915, (q15_t)0x5df2, (q15_t)0xa911, (q15_t)0x5dee, (q15_t)0xa90c,
+ (q15_t)0x5de9, (q15_t)0xa907, (q15_t)0x5de5, (q15_t)0xa903, (q15_t)0x5de1, (q15_t)0xa8fe, (q15_t)0x5ddc, (q15_t)0xa8fa,
+ (q15_t)0x5dd8, (q15_t)0xa8f5, (q15_t)0x5dd4, (q15_t)0xa8f0, (q15_t)0x5dd0, (q15_t)0xa8ec, (q15_t)0x5dcb, (q15_t)0xa8e7,
+ (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5dc3, (q15_t)0xa8de, (q15_t)0x5dbf, (q15_t)0xa8d9, (q15_t)0x5dba, (q15_t)0xa8d5,
+ (q15_t)0x5db6, (q15_t)0xa8d0, (q15_t)0x5db2, (q15_t)0xa8cc, (q15_t)0x5dad, (q15_t)0xa8c7, (q15_t)0x5da9, (q15_t)0xa8c2,
+ (q15_t)0x5da5, (q15_t)0xa8be, (q15_t)0x5da1, (q15_t)0xa8b9, (q15_t)0x5d9c, (q15_t)0xa8b5, (q15_t)0x5d98, (q15_t)0xa8b0,
+ (q15_t)0x5d94, (q15_t)0xa8ab, (q15_t)0x5d8f, (q15_t)0xa8a7, (q15_t)0x5d8b, (q15_t)0xa8a2, (q15_t)0x5d87, (q15_t)0xa89e,
+ (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d7e, (q15_t)0xa894, (q15_t)0x5d7a, (q15_t)0xa890, (q15_t)0x5d76, (q15_t)0xa88b,
+ (q15_t)0x5d71, (q15_t)0xa887, (q15_t)0x5d6d, (q15_t)0xa882, (q15_t)0x5d69, (q15_t)0xa87d, (q15_t)0x5d65, (q15_t)0xa879,
+ (q15_t)0x5d60, (q15_t)0xa874, (q15_t)0x5d5c, (q15_t)0xa870, (q15_t)0x5d58, (q15_t)0xa86b, (q15_t)0x5d53, (q15_t)0xa867,
+ (q15_t)0x5d4f, (q15_t)0xa862, (q15_t)0x5d4b, (q15_t)0xa85d, (q15_t)0x5d46, (q15_t)0xa859, (q15_t)0x5d42, (q15_t)0xa854,
+ (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5d3a, (q15_t)0xa84b, (q15_t)0x5d35, (q15_t)0xa847, (q15_t)0x5d31, (q15_t)0xa842,
+ (q15_t)0x5d2d, (q15_t)0xa83d, (q15_t)0x5d28, (q15_t)0xa839, (q15_t)0x5d24, (q15_t)0xa834, (q15_t)0x5d20, (q15_t)0xa830,
+ (q15_t)0x5d1b, (q15_t)0xa82b, (q15_t)0x5d17, (q15_t)0xa827, (q15_t)0x5d13, (q15_t)0xa822, (q15_t)0x5d0e, (q15_t)0xa81d,
+ (q15_t)0x5d0a, (q15_t)0xa819, (q15_t)0x5d06, (q15_t)0xa814, (q15_t)0x5d01, (q15_t)0xa810, (q15_t)0x5cfd, (q15_t)0xa80b,
+ (q15_t)0x5cf9, (q15_t)0xa807, (q15_t)0x5cf5, (q15_t)0xa802, (q15_t)0x5cf0, (q15_t)0xa7fd, (q15_t)0x5cec, (q15_t)0xa7f9,
+ (q15_t)0x5ce8, (q15_t)0xa7f4, (q15_t)0x5ce3, (q15_t)0xa7f0, (q15_t)0x5cdf, (q15_t)0xa7eb, (q15_t)0x5cdb, (q15_t)0xa7e7,
+ (q15_t)0x5cd6, (q15_t)0xa7e2, (q15_t)0x5cd2, (q15_t)0xa7de, (q15_t)0x5cce, (q15_t)0xa7d9, (q15_t)0x5cc9, (q15_t)0xa7d4,
+ (q15_t)0x5cc5, (q15_t)0xa7d0, (q15_t)0x5cc1, (q15_t)0xa7cb, (q15_t)0x5cbc, (q15_t)0xa7c7, (q15_t)0x5cb8, (q15_t)0xa7c2,
+ (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5caf, (q15_t)0xa7b9, (q15_t)0x5cab, (q15_t)0xa7b5, (q15_t)0x5ca7, (q15_t)0xa7b0,
+ (q15_t)0x5ca2, (q15_t)0xa7ab, (q15_t)0x5c9e, (q15_t)0xa7a7, (q15_t)0x5c9a, (q15_t)0xa7a2, (q15_t)0x5c95, (q15_t)0xa79e,
+ (q15_t)0x5c91, (q15_t)0xa799, (q15_t)0x5c8d, (q15_t)0xa795, (q15_t)0x5c88, (q15_t)0xa790, (q15_t)0x5c84, (q15_t)0xa78c,
+ (q15_t)0x5c80, (q15_t)0xa787, (q15_t)0x5c7b, (q15_t)0xa783, (q15_t)0x5c77, (q15_t)0xa77e, (q15_t)0x5c73, (q15_t)0xa779,
+ (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c6a, (q15_t)0xa770, (q15_t)0x5c66, (q15_t)0xa76c, (q15_t)0x5c61, (q15_t)0xa767,
+ (q15_t)0x5c5d, (q15_t)0xa763, (q15_t)0x5c58, (q15_t)0xa75e, (q15_t)0x5c54, (q15_t)0xa75a, (q15_t)0x5c50, (q15_t)0xa755,
+ (q15_t)0x5c4b, (q15_t)0xa751, (q15_t)0x5c47, (q15_t)0xa74c, (q15_t)0x5c43, (q15_t)0xa748, (q15_t)0x5c3e, (q15_t)0xa743,
+ (q15_t)0x5c3a, (q15_t)0xa73f, (q15_t)0x5c36, (q15_t)0xa73a, (q15_t)0x5c31, (q15_t)0xa735, (q15_t)0x5c2d, (q15_t)0xa731,
+ (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5c24, (q15_t)0xa728, (q15_t)0x5c20, (q15_t)0xa723, (q15_t)0x5c1b, (q15_t)0xa71f,
+ (q15_t)0x5c17, (q15_t)0xa71a, (q15_t)0x5c13, (q15_t)0xa716, (q15_t)0x5c0e, (q15_t)0xa711, (q15_t)0x5c0a, (q15_t)0xa70d,
+ (q15_t)0x5c06, (q15_t)0xa708, (q15_t)0x5c01, (q15_t)0xa704, (q15_t)0x5bfd, (q15_t)0xa6ff, (q15_t)0x5bf9, (q15_t)0xa6fb,
+ (q15_t)0x5bf4, (q15_t)0xa6f6, (q15_t)0x5bf0, (q15_t)0xa6f2, (q15_t)0x5beb, (q15_t)0xa6ed, (q15_t)0x5be7, (q15_t)0xa6e9,
+ (q15_t)0x5be3, (q15_t)0xa6e4, (q15_t)0x5bde, (q15_t)0xa6e0, (q15_t)0x5bda, (q15_t)0xa6db, (q15_t)0x5bd6, (q15_t)0xa6d7,
+ (q15_t)0x5bd1, (q15_t)0xa6d2, (q15_t)0x5bcd, (q15_t)0xa6ce, (q15_t)0x5bc8, (q15_t)0xa6c9, (q15_t)0x5bc4, (q15_t)0xa6c5,
+ (q15_t)0x5bc0, (q15_t)0xa6c0, (q15_t)0x5bbb, (q15_t)0xa6bc, (q15_t)0x5bb7, (q15_t)0xa6b7, (q15_t)0x5bb2, (q15_t)0xa6b3,
+ (q15_t)0x5bae, (q15_t)0xa6ae, (q15_t)0x5baa, (q15_t)0xa6aa, (q15_t)0x5ba5, (q15_t)0xa6a5, (q15_t)0x5ba1, (q15_t)0xa6a1,
+ (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b98, (q15_t)0xa698, (q15_t)0x5b94, (q15_t)0xa693, (q15_t)0x5b8f, (q15_t)0xa68f,
+ (q15_t)0x5b8b, (q15_t)0xa68a, (q15_t)0x5b87, (q15_t)0xa686, (q15_t)0x5b82, (q15_t)0xa681, (q15_t)0x5b7e, (q15_t)0xa67d,
+ (q15_t)0x5b79, (q15_t)0xa678, (q15_t)0x5b75, (q15_t)0xa674, (q15_t)0x5b71, (q15_t)0xa66f, (q15_t)0x5b6c, (q15_t)0xa66b,
+ (q15_t)0x5b68, (q15_t)0xa666, (q15_t)0x5b63, (q15_t)0xa662, (q15_t)0x5b5f, (q15_t)0xa65d, (q15_t)0x5b5b, (q15_t)0xa659,
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+ (q15_t)0x5b45, (q15_t)0xa642, (q15_t)0x5b40, (q15_t)0xa63e, (q15_t)0x5b3c, (q15_t)0xa639, (q15_t)0x5b37, (q15_t)0xa635,
+ (q15_t)0x5b33, (q15_t)0xa630, (q15_t)0x5b2f, (q15_t)0xa62c, (q15_t)0x5b2a, (q15_t)0xa627, (q15_t)0x5b26, (q15_t)0xa623,
+ (q15_t)0x5b21, (q15_t)0xa61f, (q15_t)0x5b1d, (q15_t)0xa61a, (q15_t)0x5b19, (q15_t)0xa616, (q15_t)0x5b14, (q15_t)0xa611,
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+ (q15_t)0x5afe, (q15_t)0xa5fb, (q15_t)0x5afa, (q15_t)0xa5f6, (q15_t)0x5af5, (q15_t)0xa5f2, (q15_t)0x5af1, (q15_t)0xa5ed,
+ (q15_t)0x5aec, (q15_t)0xa5e9, (q15_t)0x5ae8, (q15_t)0xa5e4, (q15_t)0x5ae4, (q15_t)0xa5e0, (q15_t)0x5adf, (q15_t)0xa5dc,
+ (q15_t)0x5adb, (q15_t)0xa5d7, (q15_t)0x5ad6, (q15_t)0xa5d3, (q15_t)0x5ad2, (q15_t)0xa5ce, (q15_t)0x5acd, (q15_t)0xa5ca,
+ (q15_t)0x5ac9, (q15_t)0xa5c5, (q15_t)0x5ac5, (q15_t)0xa5c1, (q15_t)0x5ac0, (q15_t)0xa5bc, (q15_t)0x5abc, (q15_t)0xa5b8,
+ (q15_t)0x5ab7, (q15_t)0xa5b3, (q15_t)0x5ab3, (q15_t)0xa5af, (q15_t)0x5aae, (q15_t)0xa5aa, (q15_t)0x5aaa, (q15_t)0xa5a6,
+ (q15_t)0x5aa5, (q15_t)0xa5a2, (q15_t)0x5aa1, (q15_t)0xa59d, (q15_t)0x5a9d, (q15_t)0xa599, (q15_t)0x5a98, (q15_t)0xa594,
+ (q15_t)0x5a94, (q15_t)0xa590, (q15_t)0x5a8f, (q15_t)0xa58b, (q15_t)0x5a8b, (q15_t)0xa587, (q15_t)0x5a86, (q15_t)0xa582,
+ (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a7e, (q15_t)0xa57a, (q15_t)0x5a79, (q15_t)0xa575, (q15_t)0x5a75, (q15_t)0xa571,
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+ (q15_t)0x5a5e, (q15_t)0xa55b, (q15_t)0x5a5a, (q15_t)0xa556, (q15_t)0x5a56, (q15_t)0xa552, (q15_t)0x5a51, (q15_t)0xa54d,
+ (q15_t)0x5a4d, (q15_t)0xa549, (q15_t)0x5a48, (q15_t)0xa544, (q15_t)0x5a44, (q15_t)0xa540, (q15_t)0x5a3f, (q15_t)0xa53b,
+ (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x5a36, (q15_t)0xa533, (q15_t)0x5a32, (q15_t)0xa52e, (q15_t)0x5a2d, (q15_t)0xa52a,
+ (q15_t)0x5a29, (q15_t)0xa525, (q15_t)0x5a24, (q15_t)0xa521, (q15_t)0x5a20, (q15_t)0xa51c, (q15_t)0x5a1c, (q15_t)0xa518,
+ (q15_t)0x5a17, (q15_t)0xa514, (q15_t)0x5a13, (q15_t)0xa50f, (q15_t)0x5a0e, (q15_t)0xa50b, (q15_t)0x5a0a, (q15_t)0xa506,
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+ (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59ef, (q15_t)0xa4ec, (q15_t)0x59ea, (q15_t)0xa4e7, (q15_t)0x59e6, (q15_t)0xa4e3,
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+ (q15_t)0x59d0, (q15_t)0xa4cd, (q15_t)0x59cb, (q15_t)0xa4c9, (q15_t)0x59c7, (q15_t)0xa4c4, (q15_t)0x59c2, (q15_t)0xa4c0,
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+ (q15_t)0x59ac, (q15_t)0xa4aa, (q15_t)0x59a7, (q15_t)0xa4a5, (q15_t)0x59a3, (q15_t)0xa4a1, (q15_t)0x599e, (q15_t)0xa49d,
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+ (q15_t)0x5572, (q15_t)0xa0b3, (q15_t)0x556e, (q15_t)0xa0af, (q15_t)0x5569, (q15_t)0xa0ab, (q15_t)0x5564, (q15_t)0xa0a7,
+ (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x555b, (q15_t)0xa09e, (q15_t)0x5556, (q15_t)0xa09a, (q15_t)0x5552, (q15_t)0xa096,
+ (q15_t)0x554d, (q15_t)0xa092, (q15_t)0x5548, (q15_t)0xa08e, (q15_t)0x5544, (q15_t)0xa089, (q15_t)0x553f, (q15_t)0xa085,
+ (q15_t)0x553a, (q15_t)0xa081, (q15_t)0x5536, (q15_t)0xa07d, (q15_t)0x5531, (q15_t)0xa079, (q15_t)0x552c, (q15_t)0xa074,
+ (q15_t)0x5528, (q15_t)0xa070, (q15_t)0x5523, (q15_t)0xa06c, (q15_t)0x551e, (q15_t)0xa068, (q15_t)0x5519, (q15_t)0xa064,
+ (q15_t)0x5515, (q15_t)0xa060, (q15_t)0x5510, (q15_t)0xa05b, (q15_t)0x550b, (q15_t)0xa057, (q15_t)0x5507, (q15_t)0xa053,
+ (q15_t)0x5502, (q15_t)0xa04f, (q15_t)0x54fd, (q15_t)0xa04b, (q15_t)0x54f9, (q15_t)0xa046, (q15_t)0x54f4, (q15_t)0xa042,
+ (q15_t)0x54ef, (q15_t)0xa03e, (q15_t)0x54ea, (q15_t)0xa03a, (q15_t)0x54e6, (q15_t)0xa036, (q15_t)0x54e1, (q15_t)0xa032,
+ (q15_t)0x54dc, (q15_t)0xa02d, (q15_t)0x54d8, (q15_t)0xa029, (q15_t)0x54d3, (q15_t)0xa025, (q15_t)0x54ce, (q15_t)0xa021,
+ (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x54c5, (q15_t)0xa019, (q15_t)0x54c0, (q15_t)0xa014, (q15_t)0x54bb, (q15_t)0xa010,
+ (q15_t)0x54b7, (q15_t)0xa00c, (q15_t)0x54b2, (q15_t)0xa008, (q15_t)0x54ad, (q15_t)0xa004, (q15_t)0x54a9, (q15_t)0xa000,
+ (q15_t)0x54a4, (q15_t)0x9ffc, (q15_t)0x549f, (q15_t)0x9ff7, (q15_t)0x549a, (q15_t)0x9ff3, (q15_t)0x5496, (q15_t)0x9fef,
+ (q15_t)0x5491, (q15_t)0x9feb, (q15_t)0x548c, (q15_t)0x9fe7, (q15_t)0x5488, (q15_t)0x9fe3, (q15_t)0x5483, (q15_t)0x9fde,
+ (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x5479, (q15_t)0x9fd6, (q15_t)0x5475, (q15_t)0x9fd2, (q15_t)0x5470, (q15_t)0x9fce,
+ (q15_t)0x546b, (q15_t)0x9fca, (q15_t)0x5467, (q15_t)0x9fc6, (q15_t)0x5462, (q15_t)0x9fc1, (q15_t)0x545d, (q15_t)0x9fbd,
+ (q15_t)0x5458, (q15_t)0x9fb9, (q15_t)0x5454, (q15_t)0x9fb5, (q15_t)0x544f, (q15_t)0x9fb1, (q15_t)0x544a, (q15_t)0x9fad,
+ (q15_t)0x5445, (q15_t)0x9fa9, (q15_t)0x5441, (q15_t)0x9fa4, (q15_t)0x543c, (q15_t)0x9fa0, (q15_t)0x5437, (q15_t)0x9f9c,
+ (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x542e, (q15_t)0x9f94, (q15_t)0x5429, (q15_t)0x9f90, (q15_t)0x5424, (q15_t)0x9f8c,
+ (q15_t)0x5420, (q15_t)0x9f88, (q15_t)0x541b, (q15_t)0x9f83, (q15_t)0x5416, (q15_t)0x9f7f, (q15_t)0x5411, (q15_t)0x9f7b,
+ (q15_t)0x540d, (q15_t)0x9f77, (q15_t)0x5408, (q15_t)0x9f73, (q15_t)0x5403, (q15_t)0x9f6f, (q15_t)0x53fe, (q15_t)0x9f6b,
+ (q15_t)0x53fa, (q15_t)0x9f67, (q15_t)0x53f5, (q15_t)0x9f62, (q15_t)0x53f0, (q15_t)0x9f5e, (q15_t)0x53eb, (q15_t)0x9f5a,
+ (q15_t)0x53e7, (q15_t)0x9f56, (q15_t)0x53e2, (q15_t)0x9f52, (q15_t)0x53dd, (q15_t)0x9f4e, (q15_t)0x53d8, (q15_t)0x9f4a,
+ (q15_t)0x53d4, (q15_t)0x9f46, (q15_t)0x53cf, (q15_t)0x9f41, (q15_t)0x53ca, (q15_t)0x9f3d, (q15_t)0x53c5, (q15_t)0x9f39,
+ (q15_t)0x53c1, (q15_t)0x9f35, (q15_t)0x53bc, (q15_t)0x9f31, (q15_t)0x53b7, (q15_t)0x9f2d, (q15_t)0x53b2, (q15_t)0x9f29,
+ (q15_t)0x53ae, (q15_t)0x9f25, (q15_t)0x53a9, (q15_t)0x9f21, (q15_t)0x53a4, (q15_t)0x9f1c, (q15_t)0x539f, (q15_t)0x9f18,
+ (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5396, (q15_t)0x9f10, (q15_t)0x5391, (q15_t)0x9f0c, (q15_t)0x538c, (q15_t)0x9f08,
+ (q15_t)0x5388, (q15_t)0x9f04, (q15_t)0x5383, (q15_t)0x9f00, (q15_t)0x537e, (q15_t)0x9efc, (q15_t)0x5379, (q15_t)0x9ef8,
+ (q15_t)0x5375, (q15_t)0x9ef3, (q15_t)0x5370, (q15_t)0x9eef, (q15_t)0x536b, (q15_t)0x9eeb, (q15_t)0x5366, (q15_t)0x9ee7,
+ (q15_t)0x5362, (q15_t)0x9ee3, (q15_t)0x535d, (q15_t)0x9edf, (q15_t)0x5358, (q15_t)0x9edb, (q15_t)0x5353, (q15_t)0x9ed7,
+ (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x534a, (q15_t)0x9ecf, (q15_t)0x5345, (q15_t)0x9ecb, (q15_t)0x5340, (q15_t)0x9ec6,
+ (q15_t)0x533b, (q15_t)0x9ec2, (q15_t)0x5337, (q15_t)0x9ebe, (q15_t)0x5332, (q15_t)0x9eba, (q15_t)0x532d, (q15_t)0x9eb6,
+ (q15_t)0x5328, (q15_t)0x9eb2, (q15_t)0x5323, (q15_t)0x9eae, (q15_t)0x531f, (q15_t)0x9eaa, (q15_t)0x531a, (q15_t)0x9ea6,
+ (q15_t)0x5315, (q15_t)0x9ea2, (q15_t)0x5310, (q15_t)0x9e9e, (q15_t)0x530c, (q15_t)0x9e9a, (q15_t)0x5307, (q15_t)0x9e95,
+ (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52fd, (q15_t)0x9e8d, (q15_t)0x52f8, (q15_t)0x9e89, (q15_t)0x52f4, (q15_t)0x9e85,
+ (q15_t)0x52ef, (q15_t)0x9e81, (q15_t)0x52ea, (q15_t)0x9e7d, (q15_t)0x52e5, (q15_t)0x9e79, (q15_t)0x52e1, (q15_t)0x9e75,
+ (q15_t)0x52dc, (q15_t)0x9e71, (q15_t)0x52d7, (q15_t)0x9e6d, (q15_t)0x52d2, (q15_t)0x9e69, (q15_t)0x52cd, (q15_t)0x9e65,
+ (q15_t)0x52c9, (q15_t)0x9e61, (q15_t)0x52c4, (q15_t)0x9e5d, (q15_t)0x52bf, (q15_t)0x9e58, (q15_t)0x52ba, (q15_t)0x9e54,
+ (q15_t)0x52b5, (q15_t)0x9e50, (q15_t)0x52b1, (q15_t)0x9e4c, (q15_t)0x52ac, (q15_t)0x9e48, (q15_t)0x52a7, (q15_t)0x9e44,
+ (q15_t)0x52a2, (q15_t)0x9e40, (q15_t)0x529d, (q15_t)0x9e3c, (q15_t)0x5299, (q15_t)0x9e38, (q15_t)0x5294, (q15_t)0x9e34,
+ (q15_t)0x528f, (q15_t)0x9e30, (q15_t)0x528a, (q15_t)0x9e2c, (q15_t)0x5285, (q15_t)0x9e28, (q15_t)0x5281, (q15_t)0x9e24,
+ (q15_t)0x527c, (q15_t)0x9e20, (q15_t)0x5277, (q15_t)0x9e1c, (q15_t)0x5272, (q15_t)0x9e18, (q15_t)0x526d, (q15_t)0x9e14,
+ (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x5264, (q15_t)0x9e0b, (q15_t)0x525f, (q15_t)0x9e07, (q15_t)0x525a, (q15_t)0x9e03,
+ (q15_t)0x5255, (q15_t)0x9dff, (q15_t)0x5251, (q15_t)0x9dfb, (q15_t)0x524c, (q15_t)0x9df7, (q15_t)0x5247, (q15_t)0x9df3,
+ (q15_t)0x5242, (q15_t)0x9def, (q15_t)0x523d, (q15_t)0x9deb, (q15_t)0x5238, (q15_t)0x9de7, (q15_t)0x5234, (q15_t)0x9de3,
+ (q15_t)0x522f, (q15_t)0x9ddf, (q15_t)0x522a, (q15_t)0x9ddb, (q15_t)0x5225, (q15_t)0x9dd7, (q15_t)0x5220, (q15_t)0x9dd3,
+ (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x5217, (q15_t)0x9dcb, (q15_t)0x5212, (q15_t)0x9dc7, (q15_t)0x520d, (q15_t)0x9dc3,
+ (q15_t)0x5208, (q15_t)0x9dbf, (q15_t)0x5203, (q15_t)0x9dbb, (q15_t)0x51ff, (q15_t)0x9db7, (q15_t)0x51fa, (q15_t)0x9db3,
+ (q15_t)0x51f5, (q15_t)0x9daf, (q15_t)0x51f0, (q15_t)0x9dab, (q15_t)0x51eb, (q15_t)0x9da7, (q15_t)0x51e6, (q15_t)0x9da3,
+ (q15_t)0x51e2, (q15_t)0x9d9f, (q15_t)0x51dd, (q15_t)0x9d9b, (q15_t)0x51d8, (q15_t)0x9d97, (q15_t)0x51d3, (q15_t)0x9d93,
+ (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x51c9, (q15_t)0x9d8b, (q15_t)0x51c5, (q15_t)0x9d86, (q15_t)0x51c0, (q15_t)0x9d82,
+ (q15_t)0x51bb, (q15_t)0x9d7e, (q15_t)0x51b6, (q15_t)0x9d7a, (q15_t)0x51b1, (q15_t)0x9d76, (q15_t)0x51ac, (q15_t)0x9d72,
+ (q15_t)0x51a8, (q15_t)0x9d6e, (q15_t)0x51a3, (q15_t)0x9d6a, (q15_t)0x519e, (q15_t)0x9d66, (q15_t)0x5199, (q15_t)0x9d62,
+ (q15_t)0x5194, (q15_t)0x9d5e, (q15_t)0x518f, (q15_t)0x9d5a, (q15_t)0x518b, (q15_t)0x9d56, (q15_t)0x5186, (q15_t)0x9d52,
+ (q15_t)0x5181, (q15_t)0x9d4e, (q15_t)0x517c, (q15_t)0x9d4a, (q15_t)0x5177, (q15_t)0x9d46, (q15_t)0x5172, (q15_t)0x9d42,
+ (q15_t)0x516e, (q15_t)0x9d3e, (q15_t)0x5169, (q15_t)0x9d3a, (q15_t)0x5164, (q15_t)0x9d36, (q15_t)0x515f, (q15_t)0x9d32,
+ (q15_t)0x515a, (q15_t)0x9d2e, (q15_t)0x5155, (q15_t)0x9d2a, (q15_t)0x5150, (q15_t)0x9d26, (q15_t)0x514c, (q15_t)0x9d22,
+ (q15_t)0x5147, (q15_t)0x9d1e, (q15_t)0x5142, (q15_t)0x9d1a, (q15_t)0x513d, (q15_t)0x9d16, (q15_t)0x5138, (q15_t)0x9d12,
+ (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x512e, (q15_t)0x9d0b, (q15_t)0x512a, (q15_t)0x9d07, (q15_t)0x5125, (q15_t)0x9d03,
+ (q15_t)0x5120, (q15_t)0x9cff, (q15_t)0x511b, (q15_t)0x9cfb, (q15_t)0x5116, (q15_t)0x9cf7, (q15_t)0x5111, (q15_t)0x9cf3,
+ (q15_t)0x510c, (q15_t)0x9cef, (q15_t)0x5108, (q15_t)0x9ceb, (q15_t)0x5103, (q15_t)0x9ce7, (q15_t)0x50fe, (q15_t)0x9ce3,
+ (q15_t)0x50f9, (q15_t)0x9cdf, (q15_t)0x50f4, (q15_t)0x9cdb, (q15_t)0x50ef, (q15_t)0x9cd7, (q15_t)0x50ea, (q15_t)0x9cd3,
+ (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x50e1, (q15_t)0x9ccb, (q15_t)0x50dc, (q15_t)0x9cc7, (q15_t)0x50d7, (q15_t)0x9cc3,
+ (q15_t)0x50d2, (q15_t)0x9cbf, (q15_t)0x50cd, (q15_t)0x9cbb, (q15_t)0x50c8, (q15_t)0x9cb7, (q15_t)0x50c3, (q15_t)0x9cb3,
+ (q15_t)0x50bf, (q15_t)0x9caf, (q15_t)0x50ba, (q15_t)0x9cab, (q15_t)0x50b5, (q15_t)0x9ca7, (q15_t)0x50b0, (q15_t)0x9ca3,
+ (q15_t)0x50ab, (q15_t)0x9c9f, (q15_t)0x50a6, (q15_t)0x9c9b, (q15_t)0x50a1, (q15_t)0x9c97, (q15_t)0x509c, (q15_t)0x9c93,
+ (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5093, (q15_t)0x9c8b, (q15_t)0x508e, (q15_t)0x9c88, (q15_t)0x5089, (q15_t)0x9c84,
+ (q15_t)0x5084, (q15_t)0x9c80, (q15_t)0x507f, (q15_t)0x9c7c, (q15_t)0x507a, (q15_t)0x9c78, (q15_t)0x5075, (q15_t)0x9c74,
+ (q15_t)0x5070, (q15_t)0x9c70, (q15_t)0x506c, (q15_t)0x9c6c, (q15_t)0x5067, (q15_t)0x9c68, (q15_t)0x5062, (q15_t)0x9c64,
+ (q15_t)0x505d, (q15_t)0x9c60, (q15_t)0x5058, (q15_t)0x9c5c, (q15_t)0x5053, (q15_t)0x9c58, (q15_t)0x504e, (q15_t)0x9c54,
+ (q15_t)0x5049, (q15_t)0x9c50, (q15_t)0x5044, (q15_t)0x9c4c, (q15_t)0x503f, (q15_t)0x9c48, (q15_t)0x503b, (q15_t)0x9c44,
+ (q15_t)0x5036, (q15_t)0x9c40, (q15_t)0x5031, (q15_t)0x9c3d, (q15_t)0x502c, (q15_t)0x9c39, (q15_t)0x5027, (q15_t)0x9c35,
+ (q15_t)0x5022, (q15_t)0x9c31, (q15_t)0x501d, (q15_t)0x9c2d, (q15_t)0x5018, (q15_t)0x9c29, (q15_t)0x5013, (q15_t)0x9c25,
+ (q15_t)0x500f, (q15_t)0x9c21, (q15_t)0x500a, (q15_t)0x9c1d, (q15_t)0x5005, (q15_t)0x9c19, (q15_t)0x5000, (q15_t)0x9c15,
+ (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ff6, (q15_t)0x9c0d, (q15_t)0x4ff1, (q15_t)0x9c09, (q15_t)0x4fec, (q15_t)0x9c06,
+ (q15_t)0x4fe7, (q15_t)0x9c02, (q15_t)0x4fe2, (q15_t)0x9bfe, (q15_t)0x4fdd, (q15_t)0x9bfa, (q15_t)0x4fd9, (q15_t)0x9bf6,
+ (q15_t)0x4fd4, (q15_t)0x9bf2, (q15_t)0x4fcf, (q15_t)0x9bee, (q15_t)0x4fca, (q15_t)0x9bea, (q15_t)0x4fc5, (q15_t)0x9be6,
+ (q15_t)0x4fc0, (q15_t)0x9be2, (q15_t)0x4fbb, (q15_t)0x9bde, (q15_t)0x4fb6, (q15_t)0x9bda, (q15_t)0x4fb1, (q15_t)0x9bd7,
+ (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4fa7, (q15_t)0x9bcf, (q15_t)0x4fa2, (q15_t)0x9bcb, (q15_t)0x4f9e, (q15_t)0x9bc7,
+ (q15_t)0x4f99, (q15_t)0x9bc3, (q15_t)0x4f94, (q15_t)0x9bbf, (q15_t)0x4f8f, (q15_t)0x9bbb, (q15_t)0x4f8a, (q15_t)0x9bb7,
+ (q15_t)0x4f85, (q15_t)0x9bb3, (q15_t)0x4f80, (q15_t)0x9baf, (q15_t)0x4f7b, (q15_t)0x9bac, (q15_t)0x4f76, (q15_t)0x9ba8,
+ (q15_t)0x4f71, (q15_t)0x9ba4, (q15_t)0x4f6c, (q15_t)0x9ba0, (q15_t)0x4f67, (q15_t)0x9b9c, (q15_t)0x4f62, (q15_t)0x9b98,
+ (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f59, (q15_t)0x9b90, (q15_t)0x4f54, (q15_t)0x9b8c, (q15_t)0x4f4f, (q15_t)0x9b88,
+ (q15_t)0x4f4a, (q15_t)0x9b85, (q15_t)0x4f45, (q15_t)0x9b81, (q15_t)0x4f40, (q15_t)0x9b7d, (q15_t)0x4f3b, (q15_t)0x9b79,
+ (q15_t)0x4f36, (q15_t)0x9b75, (q15_t)0x4f31, (q15_t)0x9b71, (q15_t)0x4f2c, (q15_t)0x9b6d, (q15_t)0x4f27, (q15_t)0x9b69,
+ (q15_t)0x4f22, (q15_t)0x9b65, (q15_t)0x4f1d, (q15_t)0x9b62, (q15_t)0x4f18, (q15_t)0x9b5e, (q15_t)0x4f14, (q15_t)0x9b5a,
+ (q15_t)0x4f0f, (q15_t)0x9b56, (q15_t)0x4f0a, (q15_t)0x9b52, (q15_t)0x4f05, (q15_t)0x9b4e, (q15_t)0x4f00, (q15_t)0x9b4a,
+ (q15_t)0x4efb, (q15_t)0x9b46, (q15_t)0x4ef6, (q15_t)0x9b43, (q15_t)0x4ef1, (q15_t)0x9b3f, (q15_t)0x4eec, (q15_t)0x9b3b,
+ (q15_t)0x4ee7, (q15_t)0x9b37, (q15_t)0x4ee2, (q15_t)0x9b33, (q15_t)0x4edd, (q15_t)0x9b2f, (q15_t)0x4ed8, (q15_t)0x9b2b,
+ (q15_t)0x4ed3, (q15_t)0x9b27, (q15_t)0x4ece, (q15_t)0x9b24, (q15_t)0x4ec9, (q15_t)0x9b20, (q15_t)0x4ec4, (q15_t)0x9b1c,
+ (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4eba, (q15_t)0x9b14, (q15_t)0x4eb6, (q15_t)0x9b10, (q15_t)0x4eb1, (q15_t)0x9b0c,
+ (q15_t)0x4eac, (q15_t)0x9b09, (q15_t)0x4ea7, (q15_t)0x9b05, (q15_t)0x4ea2, (q15_t)0x9b01, (q15_t)0x4e9d, (q15_t)0x9afd,
+ (q15_t)0x4e98, (q15_t)0x9af9, (q15_t)0x4e93, (q15_t)0x9af5, (q15_t)0x4e8e, (q15_t)0x9af1, (q15_t)0x4e89, (q15_t)0x9aed,
+ (q15_t)0x4e84, (q15_t)0x9aea, (q15_t)0x4e7f, (q15_t)0x9ae6, (q15_t)0x4e7a, (q15_t)0x9ae2, (q15_t)0x4e75, (q15_t)0x9ade,
+ (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e6b, (q15_t)0x9ad6, (q15_t)0x4e66, (q15_t)0x9ad3, (q15_t)0x4e61, (q15_t)0x9acf,
+ (q15_t)0x4e5c, (q15_t)0x9acb, (q15_t)0x4e57, (q15_t)0x9ac7, (q15_t)0x4e52, (q15_t)0x9ac3, (q15_t)0x4e4d, (q15_t)0x9abf,
+ (q15_t)0x4e48, (q15_t)0x9abb, (q15_t)0x4e43, (q15_t)0x9ab8, (q15_t)0x4e3e, (q15_t)0x9ab4, (q15_t)0x4e39, (q15_t)0x9ab0,
+ (q15_t)0x4e34, (q15_t)0x9aac, (q15_t)0x4e2f, (q15_t)0x9aa8, (q15_t)0x4e2a, (q15_t)0x9aa4, (q15_t)0x4e26, (q15_t)0x9aa1,
+ (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4e1c, (q15_t)0x9a99, (q15_t)0x4e17, (q15_t)0x9a95, (q15_t)0x4e12, (q15_t)0x9a91,
+ (q15_t)0x4e0d, (q15_t)0x9a8d, (q15_t)0x4e08, (q15_t)0x9a8a, (q15_t)0x4e03, (q15_t)0x9a86, (q15_t)0x4dfe, (q15_t)0x9a82,
+ (q15_t)0x4df9, (q15_t)0x9a7e, (q15_t)0x4df4, (q15_t)0x9a7a, (q15_t)0x4def, (q15_t)0x9a76, (q15_t)0x4dea, (q15_t)0x9a73,
+ (q15_t)0x4de5, (q15_t)0x9a6f, (q15_t)0x4de0, (q15_t)0x9a6b, (q15_t)0x4ddb, (q15_t)0x9a67, (q15_t)0x4dd6, (q15_t)0x9a63,
+ (q15_t)0x4dd1, (q15_t)0x9a60, (q15_t)0x4dcc, (q15_t)0x9a5c, (q15_t)0x4dc7, (q15_t)0x9a58, (q15_t)0x4dc2, (q15_t)0x9a54,
+ (q15_t)0x4dbd, (q15_t)0x9a50, (q15_t)0x4db8, (q15_t)0x9a4c, (q15_t)0x4db3, (q15_t)0x9a49, (q15_t)0x4dae, (q15_t)0x9a45,
+ (q15_t)0x4da9, (q15_t)0x9a41, (q15_t)0x4da4, (q15_t)0x9a3d, (q15_t)0x4d9f, (q15_t)0x9a39, (q15_t)0x4d9a, (q15_t)0x9a36,
+ (q15_t)0x4d95, (q15_t)0x9a32, (q15_t)0x4d90, (q15_t)0x9a2e, (q15_t)0x4d8b, (q15_t)0x9a2a, (q15_t)0x4d86, (q15_t)0x9a26,
+ (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d7c, (q15_t)0x9a1f, (q15_t)0x4d77, (q15_t)0x9a1b, (q15_t)0x4d72, (q15_t)0x9a17,
+ (q15_t)0x4d6d, (q15_t)0x9a13, (q15_t)0x4d68, (q15_t)0x9a10, (q15_t)0x4d63, (q15_t)0x9a0c, (q15_t)0x4d5e, (q15_t)0x9a08,
+ (q15_t)0x4d59, (q15_t)0x9a04, (q15_t)0x4d54, (q15_t)0x9a00, (q15_t)0x4d4f, (q15_t)0x99fd, (q15_t)0x4d4a, (q15_t)0x99f9,
+ (q15_t)0x4d45, (q15_t)0x99f5, (q15_t)0x4d40, (q15_t)0x99f1, (q15_t)0x4d3b, (q15_t)0x99ed, (q15_t)0x4d36, (q15_t)0x99ea,
+ (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4d2c, (q15_t)0x99e2, (q15_t)0x4d27, (q15_t)0x99de, (q15_t)0x4d22, (q15_t)0x99da,
+ (q15_t)0x4d1d, (q15_t)0x99d7, (q15_t)0x4d18, (q15_t)0x99d3, (q15_t)0x4d13, (q15_t)0x99cf, (q15_t)0x4d0e, (q15_t)0x99cb,
+ (q15_t)0x4d09, (q15_t)0x99c7, (q15_t)0x4d04, (q15_t)0x99c4, (q15_t)0x4cff, (q15_t)0x99c0, (q15_t)0x4cfa, (q15_t)0x99bc,
+ (q15_t)0x4cf5, (q15_t)0x99b8, (q15_t)0x4cf0, (q15_t)0x99b5, (q15_t)0x4ceb, (q15_t)0x99b1, (q15_t)0x4ce6, (q15_t)0x99ad,
+ (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4cdb, (q15_t)0x99a5, (q15_t)0x4cd6, (q15_t)0x99a2, (q15_t)0x4cd1, (q15_t)0x999e,
+ (q15_t)0x4ccc, (q15_t)0x999a, (q15_t)0x4cc7, (q15_t)0x9996, (q15_t)0x4cc2, (q15_t)0x9993, (q15_t)0x4cbd, (q15_t)0x998f,
+ (q15_t)0x4cb8, (q15_t)0x998b, (q15_t)0x4cb3, (q15_t)0x9987, (q15_t)0x4cae, (q15_t)0x9984, (q15_t)0x4ca9, (q15_t)0x9980,
+ (q15_t)0x4ca4, (q15_t)0x997c, (q15_t)0x4c9f, (q15_t)0x9978, (q15_t)0x4c9a, (q15_t)0x9975, (q15_t)0x4c95, (q15_t)0x9971,
+ (q15_t)0x4c90, (q15_t)0x996d, (q15_t)0x4c8b, (q15_t)0x9969, (q15_t)0x4c86, (q15_t)0x9965, (q15_t)0x4c81, (q15_t)0x9962,
+ (q15_t)0x4c7c, (q15_t)0x995e, (q15_t)0x4c77, (q15_t)0x995a, (q15_t)0x4c72, (q15_t)0x9956, (q15_t)0x4c6d, (q15_t)0x9953,
+ (q15_t)0x4c68, (q15_t)0x994f, (q15_t)0x4c63, (q15_t)0x994b, (q15_t)0x4c5e, (q15_t)0x9947, (q15_t)0x4c59, (q15_t)0x9944,
+ (q15_t)0x4c54, (q15_t)0x9940, (q15_t)0x4c4f, (q15_t)0x993c, (q15_t)0x4c49, (q15_t)0x9938, (q15_t)0x4c44, (q15_t)0x9935,
+ (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4c3a, (q15_t)0x992d, (q15_t)0x4c35, (q15_t)0x992a, (q15_t)0x4c30, (q15_t)0x9926,
+ (q15_t)0x4c2b, (q15_t)0x9922, (q15_t)0x4c26, (q15_t)0x991e, (q15_t)0x4c21, (q15_t)0x991b, (q15_t)0x4c1c, (q15_t)0x9917,
+ (q15_t)0x4c17, (q15_t)0x9913, (q15_t)0x4c12, (q15_t)0x990f, (q15_t)0x4c0d, (q15_t)0x990c, (q15_t)0x4c08, (q15_t)0x9908,
+ (q15_t)0x4c03, (q15_t)0x9904, (q15_t)0x4bfe, (q15_t)0x9900, (q15_t)0x4bf9, (q15_t)0x98fd, (q15_t)0x4bf4, (q15_t)0x98f9,
+ (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4be9, (q15_t)0x98f2, (q15_t)0x4be4, (q15_t)0x98ee, (q15_t)0x4bdf, (q15_t)0x98ea,
+ (q15_t)0x4bda, (q15_t)0x98e6, (q15_t)0x4bd5, (q15_t)0x98e3, (q15_t)0x4bd0, (q15_t)0x98df, (q15_t)0x4bcb, (q15_t)0x98db,
+ (q15_t)0x4bc6, (q15_t)0x98d7, (q15_t)0x4bc1, (q15_t)0x98d4, (q15_t)0x4bbc, (q15_t)0x98d0, (q15_t)0x4bb7, (q15_t)0x98cc,
+ (q15_t)0x4bb2, (q15_t)0x98c9, (q15_t)0x4bad, (q15_t)0x98c5, (q15_t)0x4ba8, (q15_t)0x98c1, (q15_t)0x4ba3, (q15_t)0x98bd,
+ (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b98, (q15_t)0x98b6, (q15_t)0x4b93, (q15_t)0x98b2, (q15_t)0x4b8e, (q15_t)0x98af,
+ (q15_t)0x4b89, (q15_t)0x98ab, (q15_t)0x4b84, (q15_t)0x98a7, (q15_t)0x4b7f, (q15_t)0x98a3, (q15_t)0x4b7a, (q15_t)0x98a0,
+ (q15_t)0x4b75, (q15_t)0x989c, (q15_t)0x4b70, (q15_t)0x9898, (q15_t)0x4b6b, (q15_t)0x9895, (q15_t)0x4b66, (q15_t)0x9891,
+ (q15_t)0x4b61, (q15_t)0x988d, (q15_t)0x4b5c, (q15_t)0x988a, (q15_t)0x4b56, (q15_t)0x9886, (q15_t)0x4b51, (q15_t)0x9882,
+ (q15_t)0x4b4c, (q15_t)0x987e, (q15_t)0x4b47, (q15_t)0x987b, (q15_t)0x4b42, (q15_t)0x9877, (q15_t)0x4b3d, (q15_t)0x9873,
+ (q15_t)0x4b38, (q15_t)0x9870, (q15_t)0x4b33, (q15_t)0x986c, (q15_t)0x4b2e, (q15_t)0x9868, (q15_t)0x4b29, (q15_t)0x9865,
+ (q15_t)0x4b24, (q15_t)0x9861, (q15_t)0x4b1f, (q15_t)0x985d, (q15_t)0x4b19, (q15_t)0x985a, (q15_t)0x4b14, (q15_t)0x9856,
+ (q15_t)0x4b0f, (q15_t)0x9852, (q15_t)0x4b0a, (q15_t)0x984e, (q15_t)0x4b05, (q15_t)0x984b, (q15_t)0x4b00, (q15_t)0x9847,
+ (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4af6, (q15_t)0x9840, (q15_t)0x4af1, (q15_t)0x983c, (q15_t)0x4aec, (q15_t)0x9838,
+ (q15_t)0x4ae7, (q15_t)0x9835, (q15_t)0x4ae1, (q15_t)0x9831, (q15_t)0x4adc, (q15_t)0x982d, (q15_t)0x4ad7, (q15_t)0x982a,
+ (q15_t)0x4ad2, (q15_t)0x9826, (q15_t)0x4acd, (q15_t)0x9822, (q15_t)0x4ac8, (q15_t)0x981f, (q15_t)0x4ac3, (q15_t)0x981b,
+ (q15_t)0x4abe, (q15_t)0x9817, (q15_t)0x4ab9, (q15_t)0x9814, (q15_t)0x4ab4, (q15_t)0x9810, (q15_t)0x4aae, (q15_t)0x980c,
+ (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4aa4, (q15_t)0x9805, (q15_t)0x4a9f, (q15_t)0x9801, (q15_t)0x4a9a, (q15_t)0x97fe,
+ (q15_t)0x4a95, (q15_t)0x97fa, (q15_t)0x4a90, (q15_t)0x97f6, (q15_t)0x4a8b, (q15_t)0x97f3, (q15_t)0x4a86, (q15_t)0x97ef,
+ (q15_t)0x4a81, (q15_t)0x97eb, (q15_t)0x4a7b, (q15_t)0x97e8, (q15_t)0x4a76, (q15_t)0x97e4, (q15_t)0x4a71, (q15_t)0x97e0,
+ (q15_t)0x4a6c, (q15_t)0x97dd, (q15_t)0x4a67, (q15_t)0x97d9, (q15_t)0x4a62, (q15_t)0x97d5, (q15_t)0x4a5d, (q15_t)0x97d2,
+ (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a52, (q15_t)0x97cb, (q15_t)0x4a4d, (q15_t)0x97c7, (q15_t)0x4a48, (q15_t)0x97c3,
+ (q15_t)0x4a43, (q15_t)0x97c0, (q15_t)0x4a3e, (q15_t)0x97bc, (q15_t)0x4a39, (q15_t)0x97b8, (q15_t)0x4a34, (q15_t)0x97b5,
+ (q15_t)0x4a2f, (q15_t)0x97b1, (q15_t)0x4a2a, (q15_t)0x97ad, (q15_t)0x4a24, (q15_t)0x97aa, (q15_t)0x4a1f, (q15_t)0x97a6,
+ (q15_t)0x4a1a, (q15_t)0x97a2, (q15_t)0x4a15, (q15_t)0x979f, (q15_t)0x4a10, (q15_t)0x979b, (q15_t)0x4a0b, (q15_t)0x9798,
+ (q15_t)0x4a06, (q15_t)0x9794, (q15_t)0x4a01, (q15_t)0x9790, (q15_t)0x49fb, (q15_t)0x978d, (q15_t)0x49f6, (q15_t)0x9789,
+ (q15_t)0x49f1, (q15_t)0x9785, (q15_t)0x49ec, (q15_t)0x9782, (q15_t)0x49e7, (q15_t)0x977e, (q15_t)0x49e2, (q15_t)0x977a,
+ (q15_t)0x49dd, (q15_t)0x9777, (q15_t)0x49d8, (q15_t)0x9773, (q15_t)0x49d2, (q15_t)0x9770, (q15_t)0x49cd, (q15_t)0x976c,
+ (q15_t)0x49c8, (q15_t)0x9768, (q15_t)0x49c3, (q15_t)0x9765, (q15_t)0x49be, (q15_t)0x9761, (q15_t)0x49b9, (q15_t)0x975d,
+ (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x49ae, (q15_t)0x9756, (q15_t)0x49a9, (q15_t)0x9753, (q15_t)0x49a4, (q15_t)0x974f,
+ (q15_t)0x499f, (q15_t)0x974b, (q15_t)0x499a, (q15_t)0x9748, (q15_t)0x4995, (q15_t)0x9744, (q15_t)0x4990, (q15_t)0x9741,
+ (q15_t)0x498a, (q15_t)0x973d, (q15_t)0x4985, (q15_t)0x9739, (q15_t)0x4980, (q15_t)0x9736, (q15_t)0x497b, (q15_t)0x9732,
+ (q15_t)0x4976, (q15_t)0x972f, (q15_t)0x4971, (q15_t)0x972b, (q15_t)0x496c, (q15_t)0x9727, (q15_t)0x4966, (q15_t)0x9724,
+ (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x495c, (q15_t)0x971d, (q15_t)0x4957, (q15_t)0x9719, (q15_t)0x4952, (q15_t)0x9715,
+ (q15_t)0x494d, (q15_t)0x9712, (q15_t)0x4948, (q15_t)0x970e, (q15_t)0x4942, (q15_t)0x970b, (q15_t)0x493d, (q15_t)0x9707,
+ (q15_t)0x4938, (q15_t)0x9703, (q15_t)0x4933, (q15_t)0x9700, (q15_t)0x492e, (q15_t)0x96fc, (q15_t)0x4929, (q15_t)0x96f9,
+ (q15_t)0x4923, (q15_t)0x96f5, (q15_t)0x491e, (q15_t)0x96f1, (q15_t)0x4919, (q15_t)0x96ee, (q15_t)0x4914, (q15_t)0x96ea,
+ (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x490a, (q15_t)0x96e3, (q15_t)0x4905, (q15_t)0x96df, (q15_t)0x48ff, (q15_t)0x96dc,
+ (q15_t)0x48fa, (q15_t)0x96d8, (q15_t)0x48f5, (q15_t)0x96d5, (q15_t)0x48f0, (q15_t)0x96d1, (q15_t)0x48eb, (q15_t)0x96ce,
+ (q15_t)0x48e6, (q15_t)0x96ca, (q15_t)0x48e0, (q15_t)0x96c6, (q15_t)0x48db, (q15_t)0x96c3, (q15_t)0x48d6, (q15_t)0x96bf,
+ (q15_t)0x48d1, (q15_t)0x96bc, (q15_t)0x48cc, (q15_t)0x96b8, (q15_t)0x48c7, (q15_t)0x96b5, (q15_t)0x48c1, (q15_t)0x96b1,
+ (q15_t)0x48bc, (q15_t)0x96ad, (q15_t)0x48b7, (q15_t)0x96aa, (q15_t)0x48b2, (q15_t)0x96a6, (q15_t)0x48ad, (q15_t)0x96a3,
+ (q15_t)0x48a8, (q15_t)0x969f, (q15_t)0x48a2, (q15_t)0x969c, (q15_t)0x489d, (q15_t)0x9698, (q15_t)0x4898, (q15_t)0x9694,
+ (q15_t)0x4893, (q15_t)0x9691, (q15_t)0x488e, (q15_t)0x968d, (q15_t)0x4888, (q15_t)0x968a, (q15_t)0x4883, (q15_t)0x9686,
+ (q15_t)0x487e, (q15_t)0x9683, (q15_t)0x4879, (q15_t)0x967f, (q15_t)0x4874, (q15_t)0x967b, (q15_t)0x486f, (q15_t)0x9678,
+ (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4864, (q15_t)0x9671, (q15_t)0x485f, (q15_t)0x966d, (q15_t)0x485a, (q15_t)0x966a,
+ (q15_t)0x4855, (q15_t)0x9666, (q15_t)0x484f, (q15_t)0x9663, (q15_t)0x484a, (q15_t)0x965f, (q15_t)0x4845, (q15_t)0x965b,
+ (q15_t)0x4840, (q15_t)0x9658, (q15_t)0x483b, (q15_t)0x9654, (q15_t)0x4836, (q15_t)0x9651, (q15_t)0x4830, (q15_t)0x964d,
+ (q15_t)0x482b, (q15_t)0x964a, (q15_t)0x4826, (q15_t)0x9646, (q15_t)0x4821, (q15_t)0x9643, (q15_t)0x481c, (q15_t)0x963f,
+ (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x4811, (q15_t)0x9638, (q15_t)0x480c, (q15_t)0x9635, (q15_t)0x4807, (q15_t)0x9631,
+ (q15_t)0x4802, (q15_t)0x962d, (q15_t)0x47fc, (q15_t)0x962a, (q15_t)0x47f7, (q15_t)0x9626, (q15_t)0x47f2, (q15_t)0x9623,
+ (q15_t)0x47ed, (q15_t)0x961f, (q15_t)0x47e8, (q15_t)0x961c, (q15_t)0x47e2, (q15_t)0x9618, (q15_t)0x47dd, (q15_t)0x9615,
+ (q15_t)0x47d8, (q15_t)0x9611, (q15_t)0x47d3, (q15_t)0x960e, (q15_t)0x47ce, (q15_t)0x960a, (q15_t)0x47c8, (q15_t)0x9607,
+ (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x47be, (q15_t)0x9600, (q15_t)0x47b9, (q15_t)0x95fc, (q15_t)0x47b4, (q15_t)0x95f9,
+ (q15_t)0x47ae, (q15_t)0x95f5, (q15_t)0x47a9, (q15_t)0x95f2, (q15_t)0x47a4, (q15_t)0x95ee, (q15_t)0x479f, (q15_t)0x95ea,
+ (q15_t)0x479a, (q15_t)0x95e7, (q15_t)0x4794, (q15_t)0x95e3, (q15_t)0x478f, (q15_t)0x95e0, (q15_t)0x478a, (q15_t)0x95dc,
+ (q15_t)0x4785, (q15_t)0x95d9, (q15_t)0x4780, (q15_t)0x95d5, (q15_t)0x477a, (q15_t)0x95d2, (q15_t)0x4775, (q15_t)0x95ce,
+ (q15_t)0x4770, (q15_t)0x95cb, (q15_t)0x476b, (q15_t)0x95c7, (q15_t)0x4765, (q15_t)0x95c4, (q15_t)0x4760, (q15_t)0x95c0,
+ (q15_t)0x475b, (q15_t)0x95bd, (q15_t)0x4756, (q15_t)0x95b9, (q15_t)0x4751, (q15_t)0x95b6, (q15_t)0x474b, (q15_t)0x95b2,
+ (q15_t)0x4746, (q15_t)0x95af, (q15_t)0x4741, (q15_t)0x95ab, (q15_t)0x473c, (q15_t)0x95a8, (q15_t)0x4737, (q15_t)0x95a4,
+ (q15_t)0x4731, (q15_t)0x95a1, (q15_t)0x472c, (q15_t)0x959d, (q15_t)0x4727, (q15_t)0x959a, (q15_t)0x4722, (q15_t)0x9596,
+ (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x4717, (q15_t)0x958f, (q15_t)0x4712, (q15_t)0x958c, (q15_t)0x470d, (q15_t)0x9588,
+ (q15_t)0x4708, (q15_t)0x9585, (q15_t)0x4702, (q15_t)0x9581, (q15_t)0x46fd, (q15_t)0x957e, (q15_t)0x46f8, (q15_t)0x957a,
+ (q15_t)0x46f3, (q15_t)0x9577, (q15_t)0x46ed, (q15_t)0x9574, (q15_t)0x46e8, (q15_t)0x9570, (q15_t)0x46e3, (q15_t)0x956d,
+ (q15_t)0x46de, (q15_t)0x9569, (q15_t)0x46d8, (q15_t)0x9566, (q15_t)0x46d3, (q15_t)0x9562, (q15_t)0x46ce, (q15_t)0x955f,
+ (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x46c4, (q15_t)0x9558, (q15_t)0x46be, (q15_t)0x9554, (q15_t)0x46b9, (q15_t)0x9551,
+ (q15_t)0x46b4, (q15_t)0x954d, (q15_t)0x46af, (q15_t)0x954a, (q15_t)0x46a9, (q15_t)0x9546, (q15_t)0x46a4, (q15_t)0x9543,
+ (q15_t)0x469f, (q15_t)0x953f, (q15_t)0x469a, (q15_t)0x953c, (q15_t)0x4694, (q15_t)0x9538, (q15_t)0x468f, (q15_t)0x9535,
+ (q15_t)0x468a, (q15_t)0x9532, (q15_t)0x4685, (q15_t)0x952e, (q15_t)0x467f, (q15_t)0x952b, (q15_t)0x467a, (q15_t)0x9527,
+ (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4670, (q15_t)0x9520, (q15_t)0x466a, (q15_t)0x951d, (q15_t)0x4665, (q15_t)0x9519,
+ (q15_t)0x4660, (q15_t)0x9516, (q15_t)0x465b, (q15_t)0x9512, (q15_t)0x4655, (q15_t)0x950f, (q15_t)0x4650, (q15_t)0x950c,
+ (q15_t)0x464b, (q15_t)0x9508, (q15_t)0x4646, (q15_t)0x9505, (q15_t)0x4640, (q15_t)0x9501, (q15_t)0x463b, (q15_t)0x94fe,
+ (q15_t)0x4636, (q15_t)0x94fa, (q15_t)0x4631, (q15_t)0x94f7, (q15_t)0x462b, (q15_t)0x94f3, (q15_t)0x4626, (q15_t)0x94f0,
+ (q15_t)0x4621, (q15_t)0x94ed, (q15_t)0x461c, (q15_t)0x94e9, (q15_t)0x4616, (q15_t)0x94e6, (q15_t)0x4611, (q15_t)0x94e2,
+ (q15_t)0x460c, (q15_t)0x94df, (q15_t)0x4607, (q15_t)0x94db, (q15_t)0x4601, (q15_t)0x94d8, (q15_t)0x45fc, (q15_t)0x94d4,
+ (q15_t)0x45f7, (q15_t)0x94d1, (q15_t)0x45f2, (q15_t)0x94ce, (q15_t)0x45ec, (q15_t)0x94ca, (q15_t)0x45e7, (q15_t)0x94c7,
+ (q15_t)0x45e2, (q15_t)0x94c3, (q15_t)0x45dd, (q15_t)0x94c0, (q15_t)0x45d7, (q15_t)0x94bc, (q15_t)0x45d2, (q15_t)0x94b9,
+ (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x45c7, (q15_t)0x94b2, (q15_t)0x45c2, (q15_t)0x94af, (q15_t)0x45bd, (q15_t)0x94ab,
+ (q15_t)0x45b8, (q15_t)0x94a8, (q15_t)0x45b2, (q15_t)0x94a4, (q15_t)0x45ad, (q15_t)0x94a1, (q15_t)0x45a8, (q15_t)0x949e,
+ (q15_t)0x45a3, (q15_t)0x949a, (q15_t)0x459d, (q15_t)0x9497, (q15_t)0x4598, (q15_t)0x9493, (q15_t)0x4593, (q15_t)0x9490,
+ (q15_t)0x458d, (q15_t)0x948d, (q15_t)0x4588, (q15_t)0x9489, (q15_t)0x4583, (q15_t)0x9486, (q15_t)0x457e, (q15_t)0x9482,
+ (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4573, (q15_t)0x947b, (q15_t)0x456e, (q15_t)0x9478, (q15_t)0x4569, (q15_t)0x9475,
+ (q15_t)0x4563, (q15_t)0x9471, (q15_t)0x455e, (q15_t)0x946e, (q15_t)0x4559, (q15_t)0x946a, (q15_t)0x4553, (q15_t)0x9467,
+ (q15_t)0x454e, (q15_t)0x9464, (q15_t)0x4549, (q15_t)0x9460, (q15_t)0x4544, (q15_t)0x945d, (q15_t)0x453e, (q15_t)0x9459,
+ (q15_t)0x4539, (q15_t)0x9456, (q15_t)0x4534, (q15_t)0x9453, (q15_t)0x452e, (q15_t)0x944f, (q15_t)0x4529, (q15_t)0x944c,
+ (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x451f, (q15_t)0x9445, (q15_t)0x4519, (q15_t)0x9442, (q15_t)0x4514, (q15_t)0x943e,
+ (q15_t)0x450f, (q15_t)0x943b, (q15_t)0x4509, (q15_t)0x9437, (q15_t)0x4504, (q15_t)0x9434, (q15_t)0x44ff, (q15_t)0x9431,
+ (q15_t)0x44fa, (q15_t)0x942d, (q15_t)0x44f4, (q15_t)0x942a, (q15_t)0x44ef, (q15_t)0x9427, (q15_t)0x44ea, (q15_t)0x9423,
+ (q15_t)0x44e4, (q15_t)0x9420, (q15_t)0x44df, (q15_t)0x941c, (q15_t)0x44da, (q15_t)0x9419, (q15_t)0x44d4, (q15_t)0x9416,
+ (q15_t)0x44cf, (q15_t)0x9412, (q15_t)0x44ca, (q15_t)0x940f, (q15_t)0x44c5, (q15_t)0x940b, (q15_t)0x44bf, (q15_t)0x9408,
+ (q15_t)0x44ba, (q15_t)0x9405, (q15_t)0x44b5, (q15_t)0x9401, (q15_t)0x44af, (q15_t)0x93fe, (q15_t)0x44aa, (q15_t)0x93fb,
+ (q15_t)0x44a5, (q15_t)0x93f7, (q15_t)0x449f, (q15_t)0x93f4, (q15_t)0x449a, (q15_t)0x93f1, (q15_t)0x4495, (q15_t)0x93ed,
+ (q15_t)0x4490, (q15_t)0x93ea, (q15_t)0x448a, (q15_t)0x93e6, (q15_t)0x4485, (q15_t)0x93e3, (q15_t)0x4480, (q15_t)0x93e0,
+ (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4475, (q15_t)0x93d9, (q15_t)0x4470, (q15_t)0x93d6, (q15_t)0x446a, (q15_t)0x93d2,
+ (q15_t)0x4465, (q15_t)0x93cf, (q15_t)0x4460, (q15_t)0x93cc, (q15_t)0x445a, (q15_t)0x93c8, (q15_t)0x4455, (q15_t)0x93c5,
+ (q15_t)0x4450, (q15_t)0x93c1, (q15_t)0x444b, (q15_t)0x93be, (q15_t)0x4445, (q15_t)0x93bb, (q15_t)0x4440, (q15_t)0x93b7,
+ (q15_t)0x443b, (q15_t)0x93b4, (q15_t)0x4435, (q15_t)0x93b1, (q15_t)0x4430, (q15_t)0x93ad, (q15_t)0x442b, (q15_t)0x93aa,
+ (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x4420, (q15_t)0x93a3, (q15_t)0x441b, (q15_t)0x93a0, (q15_t)0x4415, (q15_t)0x939d,
+ (q15_t)0x4410, (q15_t)0x9399, (q15_t)0x440b, (q15_t)0x9396, (q15_t)0x4405, (q15_t)0x9393, (q15_t)0x4400, (q15_t)0x938f,
+ (q15_t)0x43fb, (q15_t)0x938c, (q15_t)0x43f5, (q15_t)0x9389, (q15_t)0x43f0, (q15_t)0x9385, (q15_t)0x43eb, (q15_t)0x9382,
+ (q15_t)0x43e5, (q15_t)0x937f, (q15_t)0x43e0, (q15_t)0x937b, (q15_t)0x43db, (q15_t)0x9378, (q15_t)0x43d5, (q15_t)0x9375,
+ (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x43cb, (q15_t)0x936e, (q15_t)0x43c5, (q15_t)0x936b, (q15_t)0x43c0, (q15_t)0x9367,
+ (q15_t)0x43bb, (q15_t)0x9364, (q15_t)0x43b5, (q15_t)0x9361, (q15_t)0x43b0, (q15_t)0x935d, (q15_t)0x43ab, (q15_t)0x935a,
+ (q15_t)0x43a5, (q15_t)0x9357, (q15_t)0x43a0, (q15_t)0x9353, (q15_t)0x439b, (q15_t)0x9350, (q15_t)0x4395, (q15_t)0x934d,
+ (q15_t)0x4390, (q15_t)0x9349, (q15_t)0x438b, (q15_t)0x9346, (q15_t)0x4385, (q15_t)0x9343, (q15_t)0x4380, (q15_t)0x933f,
+ (q15_t)0x437b, (q15_t)0x933c, (q15_t)0x4375, (q15_t)0x9339, (q15_t)0x4370, (q15_t)0x9336, (q15_t)0x436b, (q15_t)0x9332,
+ (q15_t)0x4365, (q15_t)0x932f, (q15_t)0x4360, (q15_t)0x932c, (q15_t)0x435b, (q15_t)0x9328, (q15_t)0x4355, (q15_t)0x9325,
+ (q15_t)0x4350, (q15_t)0x9322, (q15_t)0x434b, (q15_t)0x931e, (q15_t)0x4345, (q15_t)0x931b, (q15_t)0x4340, (q15_t)0x9318,
+ (q15_t)0x433b, (q15_t)0x9314, (q15_t)0x4335, (q15_t)0x9311, (q15_t)0x4330, (q15_t)0x930e, (q15_t)0x432b, (q15_t)0x930b,
+ (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x4320, (q15_t)0x9304, (q15_t)0x431b, (q15_t)0x9301, (q15_t)0x4315, (q15_t)0x92fd,
+ (q15_t)0x4310, (q15_t)0x92fa, (q15_t)0x430b, (q15_t)0x92f7, (q15_t)0x4305, (q15_t)0x92f4, (q15_t)0x4300, (q15_t)0x92f0,
+ (q15_t)0x42fa, (q15_t)0x92ed, (q15_t)0x42f5, (q15_t)0x92ea, (q15_t)0x42f0, (q15_t)0x92e6, (q15_t)0x42ea, (q15_t)0x92e3,
+ (q15_t)0x42e5, (q15_t)0x92e0, (q15_t)0x42e0, (q15_t)0x92dd, (q15_t)0x42da, (q15_t)0x92d9, (q15_t)0x42d5, (q15_t)0x92d6,
+ (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x42ca, (q15_t)0x92cf, (q15_t)0x42c5, (q15_t)0x92cc, (q15_t)0x42c0, (q15_t)0x92c9,
+ (q15_t)0x42ba, (q15_t)0x92c6, (q15_t)0x42b5, (q15_t)0x92c2, (q15_t)0x42af, (q15_t)0x92bf, (q15_t)0x42aa, (q15_t)0x92bc,
+ (q15_t)0x42a5, (q15_t)0x92b8, (q15_t)0x429f, (q15_t)0x92b5, (q15_t)0x429a, (q15_t)0x92b2, (q15_t)0x4295, (q15_t)0x92af,
+ (q15_t)0x428f, (q15_t)0x92ab, (q15_t)0x428a, (q15_t)0x92a8, (q15_t)0x4284, (q15_t)0x92a5, (q15_t)0x427f, (q15_t)0x92a2,
+ (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4274, (q15_t)0x929b, (q15_t)0x426f, (q15_t)0x9298, (q15_t)0x426a, (q15_t)0x9295,
+ (q15_t)0x4264, (q15_t)0x9291, (q15_t)0x425f, (q15_t)0x928e, (q15_t)0x425a, (q15_t)0x928b, (q15_t)0x4254, (q15_t)0x9288,
+ (q15_t)0x424f, (q15_t)0x9284, (q15_t)0x4249, (q15_t)0x9281, (q15_t)0x4244, (q15_t)0x927e, (q15_t)0x423f, (q15_t)0x927b,
+ (q15_t)0x4239, (q15_t)0x9277, (q15_t)0x4234, (q15_t)0x9274, (q15_t)0x422f, (q15_t)0x9271, (q15_t)0x4229, (q15_t)0x926e,
+ (q15_t)0x4224, (q15_t)0x926a, (q15_t)0x421e, (q15_t)0x9267, (q15_t)0x4219, (q15_t)0x9264, (q15_t)0x4214, (q15_t)0x9261,
+ (q15_t)0x420e, (q15_t)0x925d, (q15_t)0x4209, (q15_t)0x925a, (q15_t)0x4203, (q15_t)0x9257, (q15_t)0x41fe, (q15_t)0x9254,
+ (q15_t)0x41f9, (q15_t)0x9250, (q15_t)0x41f3, (q15_t)0x924d, (q15_t)0x41ee, (q15_t)0x924a, (q15_t)0x41e9, (q15_t)0x9247,
+ (q15_t)0x41e3, (q15_t)0x9243, (q15_t)0x41de, (q15_t)0x9240, (q15_t)0x41d8, (q15_t)0x923d, (q15_t)0x41d3, (q15_t)0x923a,
+ (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x41c8, (q15_t)0x9233, (q15_t)0x41c3, (q15_t)0x9230, (q15_t)0x41bd, (q15_t)0x922d,
+ (q15_t)0x41b8, (q15_t)0x922a, (q15_t)0x41b3, (q15_t)0x9226, (q15_t)0x41ad, (q15_t)0x9223, (q15_t)0x41a8, (q15_t)0x9220,
+ (q15_t)0x41a2, (q15_t)0x921d, (q15_t)0x419d, (q15_t)0x9219, (q15_t)0x4198, (q15_t)0x9216, (q15_t)0x4192, (q15_t)0x9213,
+ (q15_t)0x418d, (q15_t)0x9210, (q15_t)0x4188, (q15_t)0x920d, (q15_t)0x4182, (q15_t)0x9209, (q15_t)0x417d, (q15_t)0x9206,
+ (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4172, (q15_t)0x9200, (q15_t)0x416d, (q15_t)0x91fc, (q15_t)0x4167, (q15_t)0x91f9,
+ (q15_t)0x4162, (q15_t)0x91f6, (q15_t)0x415c, (q15_t)0x91f3, (q15_t)0x4157, (q15_t)0x91f0, (q15_t)0x4152, (q15_t)0x91ec,
+ (q15_t)0x414c, (q15_t)0x91e9, (q15_t)0x4147, (q15_t)0x91e6, (q15_t)0x4141, (q15_t)0x91e3, (q15_t)0x413c, (q15_t)0x91e0,
+ (q15_t)0x4136, (q15_t)0x91dc, (q15_t)0x4131, (q15_t)0x91d9, (q15_t)0x412c, (q15_t)0x91d6, (q15_t)0x4126, (q15_t)0x91d3,
+ (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x411b, (q15_t)0x91cc, (q15_t)0x4116, (q15_t)0x91c9, (q15_t)0x4111, (q15_t)0x91c6,
+ (q15_t)0x410b, (q15_t)0x91c3, (q15_t)0x4106, (q15_t)0x91c0, (q15_t)0x4100, (q15_t)0x91bc, (q15_t)0x40fb, (q15_t)0x91b9,
+ (q15_t)0x40f6, (q15_t)0x91b6, (q15_t)0x40f0, (q15_t)0x91b3, (q15_t)0x40eb, (q15_t)0x91b0, (q15_t)0x40e5, (q15_t)0x91ad,
+ (q15_t)0x40e0, (q15_t)0x91a9, (q15_t)0x40da, (q15_t)0x91a6, (q15_t)0x40d5, (q15_t)0x91a3, (q15_t)0x40d0, (q15_t)0x91a0,
+ (q15_t)0x40ca, (q15_t)0x919d, (q15_t)0x40c5, (q15_t)0x9199, (q15_t)0x40bf, (q15_t)0x9196, (q15_t)0x40ba, (q15_t)0x9193,
+ (q15_t)0x40b5, (q15_t)0x9190, (q15_t)0x40af, (q15_t)0x918d, (q15_t)0x40aa, (q15_t)0x918a, (q15_t)0x40a4, (q15_t)0x9186,
+ (q15_t)0x409f, (q15_t)0x9183, (q15_t)0x4099, (q15_t)0x9180, (q15_t)0x4094, (q15_t)0x917d, (q15_t)0x408f, (q15_t)0x917a,
+ (q15_t)0x4089, (q15_t)0x9177, (q15_t)0x4084, (q15_t)0x9173, (q15_t)0x407e, (q15_t)0x9170, (q15_t)0x4079, (q15_t)0x916d,
+ (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x406e, (q15_t)0x9167, (q15_t)0x4069, (q15_t)0x9164, (q15_t)0x4063, (q15_t)0x9160,
+ (q15_t)0x405e, (q15_t)0x915d, (q15_t)0x4058, (q15_t)0x915a, (q15_t)0x4053, (q15_t)0x9157, (q15_t)0x404d, (q15_t)0x9154,
+ (q15_t)0x4048, (q15_t)0x9151, (q15_t)0x4043, (q15_t)0x914d, (q15_t)0x403d, (q15_t)0x914a, (q15_t)0x4038, (q15_t)0x9147,
+ (q15_t)0x4032, (q15_t)0x9144, (q15_t)0x402d, (q15_t)0x9141, (q15_t)0x4027, (q15_t)0x913e, (q15_t)0x4022, (q15_t)0x913a,
+ (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x4017, (q15_t)0x9134, (q15_t)0x4012, (q15_t)0x9131, (q15_t)0x400c, (q15_t)0x912e,
+ (q15_t)0x4007, (q15_t)0x912b, (q15_t)0x4001, (q15_t)0x9128, (q15_t)0x3ffc, (q15_t)0x9124, (q15_t)0x3ff6, (q15_t)0x9121,
+ (q15_t)0x3ff1, (q15_t)0x911e, (q15_t)0x3fec, (q15_t)0x911b, (q15_t)0x3fe6, (q15_t)0x9118, (q15_t)0x3fe1, (q15_t)0x9115,
+ (q15_t)0x3fdb, (q15_t)0x9112, (q15_t)0x3fd6, (q15_t)0x910f, (q15_t)0x3fd0, (q15_t)0x910b, (q15_t)0x3fcb, (q15_t)0x9108,
+ (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3fc0, (q15_t)0x9102, (q15_t)0x3fbb, (q15_t)0x90ff, (q15_t)0x3fb5, (q15_t)0x90fc,
+ (q15_t)0x3fb0, (q15_t)0x90f9, (q15_t)0x3faa, (q15_t)0x90f5, (q15_t)0x3fa5, (q15_t)0x90f2, (q15_t)0x3f9f, (q15_t)0x90ef,
+ (q15_t)0x3f9a, (q15_t)0x90ec, (q15_t)0x3f94, (q15_t)0x90e9, (q15_t)0x3f8f, (q15_t)0x90e6, (q15_t)0x3f89, (q15_t)0x90e3,
+ (q15_t)0x3f84, (q15_t)0x90e0, (q15_t)0x3f7f, (q15_t)0x90dd, (q15_t)0x3f79, (q15_t)0x90d9, (q15_t)0x3f74, (q15_t)0x90d6,
+ (q15_t)0x3f6e, (q15_t)0x90d3, (q15_t)0x3f69, (q15_t)0x90d0, (q15_t)0x3f63, (q15_t)0x90cd, (q15_t)0x3f5e, (q15_t)0x90ca,
+ (q15_t)0x3f58, (q15_t)0x90c7, (q15_t)0x3f53, (q15_t)0x90c4, (q15_t)0x3f4d, (q15_t)0x90c1, (q15_t)0x3f48, (q15_t)0x90bd,
+ (q15_t)0x3f43, (q15_t)0x90ba, (q15_t)0x3f3d, (q15_t)0x90b7, (q15_t)0x3f38, (q15_t)0x90b4, (q15_t)0x3f32, (q15_t)0x90b1,
+ (q15_t)0x3f2d, (q15_t)0x90ae, (q15_t)0x3f27, (q15_t)0x90ab, (q15_t)0x3f22, (q15_t)0x90a8, (q15_t)0x3f1c, (q15_t)0x90a5,
+ (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3f11, (q15_t)0x909e, (q15_t)0x3f0c, (q15_t)0x909b, (q15_t)0x3f06, (q15_t)0x9098,
+ (q15_t)0x3f01, (q15_t)0x9095, (q15_t)0x3efb, (q15_t)0x9092, (q15_t)0x3ef6, (q15_t)0x908f, (q15_t)0x3ef1, (q15_t)0x908c,
+ (q15_t)0x3eeb, (q15_t)0x9089, (q15_t)0x3ee6, (q15_t)0x9086, (q15_t)0x3ee0, (q15_t)0x9083, (q15_t)0x3edb, (q15_t)0x907f,
+ (q15_t)0x3ed5, (q15_t)0x907c, (q15_t)0x3ed0, (q15_t)0x9079, (q15_t)0x3eca, (q15_t)0x9076, (q15_t)0x3ec5, (q15_t)0x9073,
+ (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3eba, (q15_t)0x906d, (q15_t)0x3eb4, (q15_t)0x906a, (q15_t)0x3eaf, (q15_t)0x9067,
+ (q15_t)0x3ea9, (q15_t)0x9064, (q15_t)0x3ea4, (q15_t)0x9061, (q15_t)0x3e9e, (q15_t)0x905e, (q15_t)0x3e99, (q15_t)0x905b,
+ (q15_t)0x3e93, (q15_t)0x9057, (q15_t)0x3e8e, (q15_t)0x9054, (q15_t)0x3e88, (q15_t)0x9051, (q15_t)0x3e83, (q15_t)0x904e,
+ (q15_t)0x3e7d, (q15_t)0x904b, (q15_t)0x3e78, (q15_t)0x9048, (q15_t)0x3e73, (q15_t)0x9045, (q15_t)0x3e6d, (q15_t)0x9042,
+ (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e62, (q15_t)0x903c, (q15_t)0x3e5d, (q15_t)0x9039, (q15_t)0x3e57, (q15_t)0x9036,
+ (q15_t)0x3e52, (q15_t)0x9033, (q15_t)0x3e4c, (q15_t)0x9030, (q15_t)0x3e47, (q15_t)0x902d, (q15_t)0x3e41, (q15_t)0x902a,
+ (q15_t)0x3e3c, (q15_t)0x9026, (q15_t)0x3e36, (q15_t)0x9023, (q15_t)0x3e31, (q15_t)0x9020, (q15_t)0x3e2b, (q15_t)0x901d,
+ (q15_t)0x3e26, (q15_t)0x901a, (q15_t)0x3e20, (q15_t)0x9017, (q15_t)0x3e1b, (q15_t)0x9014, (q15_t)0x3e15, (q15_t)0x9011,
+ (q15_t)0x3e10, (q15_t)0x900e, (q15_t)0x3e0a, (q15_t)0x900b, (q15_t)0x3e05, (q15_t)0x9008, (q15_t)0x3dff, (q15_t)0x9005,
+ (q15_t)0x3dfa, (q15_t)0x9002, (q15_t)0x3df4, (q15_t)0x8fff, (q15_t)0x3def, (q15_t)0x8ffc, (q15_t)0x3de9, (q15_t)0x8ff9,
+ (q15_t)0x3de4, (q15_t)0x8ff6, (q15_t)0x3dde, (q15_t)0x8ff3, (q15_t)0x3dd9, (q15_t)0x8ff0, (q15_t)0x3dd3, (q15_t)0x8fed,
+ (q15_t)0x3dce, (q15_t)0x8fea, (q15_t)0x3dc8, (q15_t)0x8fe7, (q15_t)0x3dc3, (q15_t)0x8fe3, (q15_t)0x3dbd, (q15_t)0x8fe0,
+ (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3db2, (q15_t)0x8fda, (q15_t)0x3dad, (q15_t)0x8fd7, (q15_t)0x3da7, (q15_t)0x8fd4,
+ (q15_t)0x3da2, (q15_t)0x8fd1, (q15_t)0x3d9c, (q15_t)0x8fce, (q15_t)0x3d97, (q15_t)0x8fcb, (q15_t)0x3d91, (q15_t)0x8fc8,
+ (q15_t)0x3d8c, (q15_t)0x8fc5, (q15_t)0x3d86, (q15_t)0x8fc2, (q15_t)0x3d81, (q15_t)0x8fbf, (q15_t)0x3d7b, (q15_t)0x8fbc,
+ (q15_t)0x3d76, (q15_t)0x8fb9, (q15_t)0x3d70, (q15_t)0x8fb6, (q15_t)0x3d6b, (q15_t)0x8fb3, (q15_t)0x3d65, (q15_t)0x8fb0,
+ (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d5a, (q15_t)0x8faa, (q15_t)0x3d55, (q15_t)0x8fa7, (q15_t)0x3d4f, (q15_t)0x8fa4,
+ (q15_t)0x3d49, (q15_t)0x8fa1, (q15_t)0x3d44, (q15_t)0x8f9e, (q15_t)0x3d3e, (q15_t)0x8f9b, (q15_t)0x3d39, (q15_t)0x8f98,
+ (q15_t)0x3d33, (q15_t)0x8f95, (q15_t)0x3d2e, (q15_t)0x8f92, (q15_t)0x3d28, (q15_t)0x8f8f, (q15_t)0x3d23, (q15_t)0x8f8c,
+ (q15_t)0x3d1d, (q15_t)0x8f89, (q15_t)0x3d18, (q15_t)0x8f86, (q15_t)0x3d12, (q15_t)0x8f83, (q15_t)0x3d0d, (q15_t)0x8f80,
+ (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3d02, (q15_t)0x8f7a, (q15_t)0x3cfc, (q15_t)0x8f77, (q15_t)0x3cf7, (q15_t)0x8f74,
+ (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cec, (q15_t)0x8f6e, (q15_t)0x3ce6, (q15_t)0x8f6b, (q15_t)0x3ce1, (q15_t)0x8f68,
+ (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cd6, (q15_t)0x8f62, (q15_t)0x3cd0, (q15_t)0x8f5f, (q15_t)0x3cca, (q15_t)0x8f5c,
+ (q15_t)0x3cc5, (q15_t)0x8f59, (q15_t)0x3cbf, (q15_t)0x8f56, (q15_t)0x3cba, (q15_t)0x8f53, (q15_t)0x3cb4, (q15_t)0x8f50,
+ (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3ca9, (q15_t)0x8f4a, (q15_t)0x3ca4, (q15_t)0x8f47, (q15_t)0x3c9e, (q15_t)0x8f44,
+ (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c93, (q15_t)0x8f3e, (q15_t)0x3c8e, (q15_t)0x8f3b, (q15_t)0x3c88, (q15_t)0x8f38,
+ (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c7d, (q15_t)0x8f32, (q15_t)0x3c77, (q15_t)0x8f2f, (q15_t)0x3c72, (q15_t)0x8f2d,
+ (q15_t)0x3c6c, (q15_t)0x8f2a, (q15_t)0x3c67, (q15_t)0x8f27, (q15_t)0x3c61, (q15_t)0x8f24, (q15_t)0x3c5c, (q15_t)0x8f21,
+ (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c51, (q15_t)0x8f1b, (q15_t)0x3c4b, (q15_t)0x8f18, (q15_t)0x3c46, (q15_t)0x8f15,
+ (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c3b, (q15_t)0x8f0f, (q15_t)0x3c35, (q15_t)0x8f0c, (q15_t)0x3c2f, (q15_t)0x8f09,
+ (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c24, (q15_t)0x8f03, (q15_t)0x3c1f, (q15_t)0x8f00, (q15_t)0x3c19, (q15_t)0x8efd,
+ (q15_t)0x3c14, (q15_t)0x8efa, (q15_t)0x3c0e, (q15_t)0x8ef7, (q15_t)0x3c09, (q15_t)0x8ef4, (q15_t)0x3c03, (q15_t)0x8ef1,
+ (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3bf8, (q15_t)0x8eec, (q15_t)0x3bf2, (q15_t)0x8ee9, (q15_t)0x3bed, (q15_t)0x8ee6,
+ (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3be2, (q15_t)0x8ee0, (q15_t)0x3bdc, (q15_t)0x8edd, (q15_t)0x3bd7, (q15_t)0x8eda,
+ (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bcc, (q15_t)0x8ed4, (q15_t)0x3bc6, (q15_t)0x8ed1, (q15_t)0x3bc0, (q15_t)0x8ece,
+ (q15_t)0x3bbb, (q15_t)0x8ecb, (q15_t)0x3bb5, (q15_t)0x8ec8, (q15_t)0x3bb0, (q15_t)0x8ec5, (q15_t)0x3baa, (q15_t)0x8ec2,
+ (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b9f, (q15_t)0x8ebd, (q15_t)0x3b99, (q15_t)0x8eba, (q15_t)0x3b94, (q15_t)0x8eb7,
+ (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b89, (q15_t)0x8eb1, (q15_t)0x3b83, (q15_t)0x8eae, (q15_t)0x3b7e, (q15_t)0x8eab,
+ (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b73, (q15_t)0x8ea5, (q15_t)0x3b6d, (q15_t)0x8ea2, (q15_t)0x3b67, (q15_t)0x8e9f,
+ (q15_t)0x3b62, (q15_t)0x8e9c, (q15_t)0x3b5c, (q15_t)0x8e99, (q15_t)0x3b57, (q15_t)0x8e97, (q15_t)0x3b51, (q15_t)0x8e94,
+ (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b46, (q15_t)0x8e8e, (q15_t)0x3b40, (q15_t)0x8e8b, (q15_t)0x3b3b, (q15_t)0x8e88,
+ (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b30, (q15_t)0x8e82, (q15_t)0x3b2a, (q15_t)0x8e7f, (q15_t)0x3b25, (q15_t)0x8e7c,
+ (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b19, (q15_t)0x8e77, (q15_t)0x3b14, (q15_t)0x8e74, (q15_t)0x3b0e, (q15_t)0x8e71,
+ (q15_t)0x3b09, (q15_t)0x8e6e, (q15_t)0x3b03, (q15_t)0x8e6b, (q15_t)0x3afe, (q15_t)0x8e68, (q15_t)0x3af8, (q15_t)0x8e65,
+ (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3aed, (q15_t)0x8e5f, (q15_t)0x3ae7, (q15_t)0x8e5d, (q15_t)0x3ae2, (q15_t)0x8e5a,
+ (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ad7, (q15_t)0x8e54, (q15_t)0x3ad1, (q15_t)0x8e51, (q15_t)0x3acb, (q15_t)0x8e4e,
+ (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3ac0, (q15_t)0x8e48, (q15_t)0x3abb, (q15_t)0x8e45, (q15_t)0x3ab5, (q15_t)0x8e43,
+ (q15_t)0x3aaf, (q15_t)0x8e40, (q15_t)0x3aaa, (q15_t)0x8e3d, (q15_t)0x3aa4, (q15_t)0x8e3a, (q15_t)0x3a9f, (q15_t)0x8e37,
+ (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a94, (q15_t)0x8e31, (q15_t)0x3a8e, (q15_t)0x8e2e, (q15_t)0x3a88, (q15_t)0x8e2c,
+ (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a7d, (q15_t)0x8e26, (q15_t)0x3a78, (q15_t)0x8e23, (q15_t)0x3a72, (q15_t)0x8e20,
+ (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a67, (q15_t)0x8e1a, (q15_t)0x3a61, (q15_t)0x8e17, (q15_t)0x3a5c, (q15_t)0x8e15,
+ (q15_t)0x3a56, (q15_t)0x8e12, (q15_t)0x3a50, (q15_t)0x8e0f, (q15_t)0x3a4b, (q15_t)0x8e0c, (q15_t)0x3a45, (q15_t)0x8e09,
+ (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a3a, (q15_t)0x8e03, (q15_t)0x3a34, (q15_t)0x8e01, (q15_t)0x3a2f, (q15_t)0x8dfe,
+ (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a24, (q15_t)0x8df8, (q15_t)0x3a1e, (q15_t)0x8df5, (q15_t)0x3a19, (q15_t)0x8df2,
+ (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x3a0d, (q15_t)0x8ded, (q15_t)0x3a08, (q15_t)0x8dea, (q15_t)0x3a02, (q15_t)0x8de7,
+ (q15_t)0x39fd, (q15_t)0x8de4, (q15_t)0x39f7, (q15_t)0x8de1, (q15_t)0x39f1, (q15_t)0x8dde, (q15_t)0x39ec, (q15_t)0x8ddc,
+ (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39e0, (q15_t)0x8dd6, (q15_t)0x39db, (q15_t)0x8dd3, (q15_t)0x39d5, (q15_t)0x8dd0,
+ (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39ca, (q15_t)0x8dca, (q15_t)0x39c4, (q15_t)0x8dc8, (q15_t)0x39bf, (q15_t)0x8dc5,
+ (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39b4, (q15_t)0x8dbf, (q15_t)0x39ae, (q15_t)0x8dbc, (q15_t)0x39a8, (q15_t)0x8db9,
+ (q15_t)0x39a3, (q15_t)0x8db7, (q15_t)0x399d, (q15_t)0x8db4, (q15_t)0x3998, (q15_t)0x8db1, (q15_t)0x3992, (q15_t)0x8dae,
+ (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3987, (q15_t)0x8da9, (q15_t)0x3981, (q15_t)0x8da6, (q15_t)0x397c, (q15_t)0x8da3,
+ (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x3970, (q15_t)0x8d9d, (q15_t)0x396b, (q15_t)0x8d9a, (q15_t)0x3965, (q15_t)0x8d98,
+ (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x395a, (q15_t)0x8d92, (q15_t)0x3954, (q15_t)0x8d8f, (q15_t)0x394f, (q15_t)0x8d8c,
+ (q15_t)0x3949, (q15_t)0x8d8a, (q15_t)0x3943, (q15_t)0x8d87, (q15_t)0x393e, (q15_t)0x8d84, (q15_t)0x3938, (q15_t)0x8d81,
+ (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x392d, (q15_t)0x8d7b, (q15_t)0x3927, (q15_t)0x8d79, (q15_t)0x3922, (q15_t)0x8d76,
+ (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3916, (q15_t)0x8d70, (q15_t)0x3911, (q15_t)0x8d6d, (q15_t)0x390b, (q15_t)0x8d6b,
+ (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x3900, (q15_t)0x8d65, (q15_t)0x38fa, (q15_t)0x8d62, (q15_t)0x38f5, (q15_t)0x8d5f,
+ (q15_t)0x38ef, (q15_t)0x8d5d, (q15_t)0x38e9, (q15_t)0x8d5a, (q15_t)0x38e4, (q15_t)0x8d57, (q15_t)0x38de, (q15_t)0x8d54,
+ (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38d3, (q15_t)0x8d4f, (q15_t)0x38cd, (q15_t)0x8d4c, (q15_t)0x38c8, (q15_t)0x8d49,
+ (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38bc, (q15_t)0x8d44, (q15_t)0x38b7, (q15_t)0x8d41, (q15_t)0x38b1, (q15_t)0x8d3e,
+ (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x38a6, (q15_t)0x8d38, (q15_t)0x38a0, (q15_t)0x8d36, (q15_t)0x389b, (q15_t)0x8d33,
+ (q15_t)0x3895, (q15_t)0x8d30, (q15_t)0x388f, (q15_t)0x8d2d, (q15_t)0x388a, (q15_t)0x8d2b, (q15_t)0x3884, (q15_t)0x8d28,
+ (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3879, (q15_t)0x8d22, (q15_t)0x3873, (q15_t)0x8d1f, (q15_t)0x386d, (q15_t)0x8d1d,
+ (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3862, (q15_t)0x8d17, (q15_t)0x385d, (q15_t)0x8d14, (q15_t)0x3857, (q15_t)0x8d12,
+ (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x384c, (q15_t)0x8d0c, (q15_t)0x3846, (q15_t)0x8d09, (q15_t)0x3840, (q15_t)0x8d07,
+ (q15_t)0x383b, (q15_t)0x8d04, (q15_t)0x3835, (q15_t)0x8d01, (q15_t)0x382f, (q15_t)0x8cfe, (q15_t)0x382a, (q15_t)0x8cfb,
+ (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x381e, (q15_t)0x8cf6, (q15_t)0x3819, (q15_t)0x8cf3, (q15_t)0x3813, (q15_t)0x8cf0,
+ (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x3808, (q15_t)0x8ceb, (q15_t)0x3802, (q15_t)0x8ce8, (q15_t)0x37fd, (q15_t)0x8ce5,
+ (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37f1, (q15_t)0x8ce0, (q15_t)0x37ec, (q15_t)0x8cdd, (q15_t)0x37e6, (q15_t)0x8cda,
+ (q15_t)0x37e0, (q15_t)0x8cd8, (q15_t)0x37db, (q15_t)0x8cd5, (q15_t)0x37d5, (q15_t)0x8cd2, (q15_t)0x37cf, (q15_t)0x8cd0,
+ (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37c4, (q15_t)0x8cca, (q15_t)0x37be, (q15_t)0x8cc7, (q15_t)0x37b9, (q15_t)0x8cc5,
+ (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x37ad, (q15_t)0x8cbf, (q15_t)0x37a8, (q15_t)0x8cbc, (q15_t)0x37a2, (q15_t)0x8cba,
+ (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3797, (q15_t)0x8cb4, (q15_t)0x3791, (q15_t)0x8cb1, (q15_t)0x378b, (q15_t)0x8caf,
+ (q15_t)0x3786, (q15_t)0x8cac, (q15_t)0x3780, (q15_t)0x8ca9, (q15_t)0x377a, (q15_t)0x8ca7, (q15_t)0x3775, (q15_t)0x8ca4,
+ (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3769, (q15_t)0x8c9e, (q15_t)0x3764, (q15_t)0x8c9c, (q15_t)0x375e, (q15_t)0x8c99,
+ (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3753, (q15_t)0x8c94, (q15_t)0x374d, (q15_t)0x8c91, (q15_t)0x3747, (q15_t)0x8c8e,
+ (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x373c, (q15_t)0x8c89, (q15_t)0x3736, (q15_t)0x8c86, (q15_t)0x3731, (q15_t)0x8c83,
+ (q15_t)0x372b, (q15_t)0x8c81, (q15_t)0x3725, (q15_t)0x8c7e, (q15_t)0x3720, (q15_t)0x8c7b, (q15_t)0x371a, (q15_t)0x8c78,
+ (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x370f, (q15_t)0x8c73, (q15_t)0x3709, (q15_t)0x8c70, (q15_t)0x3703, (q15_t)0x8c6e,
+ (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36f8, (q15_t)0x8c68, (q15_t)0x36f2, (q15_t)0x8c65, (q15_t)0x36ed, (q15_t)0x8c63,
+ (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36e1, (q15_t)0x8c5d, (q15_t)0x36dc, (q15_t)0x8c5b, (q15_t)0x36d6, (q15_t)0x8c58,
+ (q15_t)0x36d0, (q15_t)0x8c55, (q15_t)0x36cb, (q15_t)0x8c53, (q15_t)0x36c5, (q15_t)0x8c50, (q15_t)0x36bf, (q15_t)0x8c4d,
+ (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36b4, (q15_t)0x8c48, (q15_t)0x36ae, (q15_t)0x8c45, (q15_t)0x36a9, (q15_t)0x8c43,
+ (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x369d, (q15_t)0x8c3d, (q15_t)0x3698, (q15_t)0x8c3a, (q15_t)0x3692, (q15_t)0x8c38,
+ (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3686, (q15_t)0x8c32, (q15_t)0x3681, (q15_t)0x8c30, (q15_t)0x367b, (q15_t)0x8c2d,
+ (q15_t)0x3675, (q15_t)0x8c2a, (q15_t)0x3670, (q15_t)0x8c28, (q15_t)0x366a, (q15_t)0x8c25, (q15_t)0x3664, (q15_t)0x8c22,
+ (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3659, (q15_t)0x8c1d, (q15_t)0x3653, (q15_t)0x8c1a, (q15_t)0x364e, (q15_t)0x8c18,
+ (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3642, (q15_t)0x8c12, (q15_t)0x363d, (q15_t)0x8c10, (q15_t)0x3637, (q15_t)0x8c0d,
+ (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x362b, (q15_t)0x8c08, (q15_t)0x3626, (q15_t)0x8c05, (q15_t)0x3620, (q15_t)0x8c02,
+ (q15_t)0x361a, (q15_t)0x8c00, (q15_t)0x3615, (q15_t)0x8bfd, (q15_t)0x360f, (q15_t)0x8bfa, (q15_t)0x3609, (q15_t)0x8bf8,
+ (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35fe, (q15_t)0x8bf3, (q15_t)0x35f8, (q15_t)0x8bf0, (q15_t)0x35f3, (q15_t)0x8bed,
+ (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35e7, (q15_t)0x8be8, (q15_t)0x35e1, (q15_t)0x8be5, (q15_t)0x35dc, (q15_t)0x8be3,
+ (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35d0, (q15_t)0x8bdd, (q15_t)0x35cb, (q15_t)0x8bdb, (q15_t)0x35c5, (q15_t)0x8bd8,
+ (q15_t)0x35bf, (q15_t)0x8bd5, (q15_t)0x35ba, (q15_t)0x8bd3, (q15_t)0x35b4, (q15_t)0x8bd0, (q15_t)0x35ae, (q15_t)0x8bce,
+ (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x35a3, (q15_t)0x8bc8, (q15_t)0x359d, (q15_t)0x8bc6, (q15_t)0x3597, (q15_t)0x8bc3,
+ (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x358c, (q15_t)0x8bbe, (q15_t)0x3586, (q15_t)0x8bbb, (q15_t)0x3580, (q15_t)0x8bb8,
+ (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3575, (q15_t)0x8bb3, (q15_t)0x356f, (q15_t)0x8bb1, (q15_t)0x356a, (q15_t)0x8bae,
+ (q15_t)0x3564, (q15_t)0x8bab, (q15_t)0x355e, (q15_t)0x8ba9, (q15_t)0x3558, (q15_t)0x8ba6, (q15_t)0x3553, (q15_t)0x8ba4,
+ (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3547, (q15_t)0x8b9e, (q15_t)0x3542, (q15_t)0x8b9c, (q15_t)0x353c, (q15_t)0x8b99,
+ (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x3530, (q15_t)0x8b94, (q15_t)0x352b, (q15_t)0x8b91, (q15_t)0x3525, (q15_t)0x8b8f,
+ (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x351a, (q15_t)0x8b89, (q15_t)0x3514, (q15_t)0x8b87, (q15_t)0x350e, (q15_t)0x8b84,
+ (q15_t)0x3508, (q15_t)0x8b82, (q15_t)0x3503, (q15_t)0x8b7f, (q15_t)0x34fd, (q15_t)0x8b7c, (q15_t)0x34f7, (q15_t)0x8b7a,
+ (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34ec, (q15_t)0x8b75, (q15_t)0x34e6, (q15_t)0x8b72, (q15_t)0x34e0, (q15_t)0x8b6f,
+ (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34d5, (q15_t)0x8b6a, (q15_t)0x34cf, (q15_t)0x8b68, (q15_t)0x34ca, (q15_t)0x8b65,
+ (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34be, (q15_t)0x8b60, (q15_t)0x34b8, (q15_t)0x8b5d, (q15_t)0x34b3, (q15_t)0x8b5b,
+ (q15_t)0x34ad, (q15_t)0x8b58, (q15_t)0x34a7, (q15_t)0x8b55, (q15_t)0x34a1, (q15_t)0x8b53, (q15_t)0x349c, (q15_t)0x8b50,
+ (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x3490, (q15_t)0x8b4b, (q15_t)0x348b, (q15_t)0x8b49, (q15_t)0x3485, (q15_t)0x8b46,
+ (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3479, (q15_t)0x8b41, (q15_t)0x3474, (q15_t)0x8b3e, (q15_t)0x346e, (q15_t)0x8b3c,
+ (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3462, (q15_t)0x8b37, (q15_t)0x345d, (q15_t)0x8b34, (q15_t)0x3457, (q15_t)0x8b31,
+ (q15_t)0x3451, (q15_t)0x8b2f, (q15_t)0x344b, (q15_t)0x8b2c, (q15_t)0x3446, (q15_t)0x8b2a, (q15_t)0x3440, (q15_t)0x8b27,
+ (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3435, (q15_t)0x8b22, (q15_t)0x342f, (q15_t)0x8b1f, (q15_t)0x3429, (q15_t)0x8b1d,
+ (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x341e, (q15_t)0x8b18, (q15_t)0x3418, (q15_t)0x8b15, (q15_t)0x3412, (q15_t)0x8b13,
+ (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x3407, (q15_t)0x8b0e, (q15_t)0x3401, (q15_t)0x8b0b, (q15_t)0x33fb, (q15_t)0x8b08,
+ (q15_t)0x33f5, (q15_t)0x8b06, (q15_t)0x33f0, (q15_t)0x8b03, (q15_t)0x33ea, (q15_t)0x8b01, (q15_t)0x33e4, (q15_t)0x8afe,
+ (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33d9, (q15_t)0x8af9, (q15_t)0x33d3, (q15_t)0x8af7, (q15_t)0x33cd, (q15_t)0x8af4,
+ (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33c2, (q15_t)0x8aef, (q15_t)0x33bc, (q15_t)0x8aec, (q15_t)0x33b6, (q15_t)0x8aea,
+ (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x33ab, (q15_t)0x8ae5, (q15_t)0x33a5, (q15_t)0x8ae2, (q15_t)0x339f, (q15_t)0x8ae0,
+ (q15_t)0x3399, (q15_t)0x8add, (q15_t)0x3394, (q15_t)0x8adb, (q15_t)0x338e, (q15_t)0x8ad8, (q15_t)0x3388, (q15_t)0x8ad6,
+ (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x337d, (q15_t)0x8ad1, (q15_t)0x3377, (q15_t)0x8ace, (q15_t)0x3371, (q15_t)0x8acb,
+ (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3366, (q15_t)0x8ac6, (q15_t)0x3360, (q15_t)0x8ac4, (q15_t)0x335a, (q15_t)0x8ac1,
+ (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x334f, (q15_t)0x8abc, (q15_t)0x3349, (q15_t)0x8aba, (q15_t)0x3343, (q15_t)0x8ab7,
+ (q15_t)0x333d, (q15_t)0x8ab5, (q15_t)0x3338, (q15_t)0x8ab2, (q15_t)0x3332, (q15_t)0x8ab0, (q15_t)0x332c, (q15_t)0x8aad,
+ (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x3321, (q15_t)0x8aa8, (q15_t)0x331b, (q15_t)0x8aa6, (q15_t)0x3315, (q15_t)0x8aa3,
+ (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x330a, (q15_t)0x8a9e, (q15_t)0x3304, (q15_t)0x8a9c, (q15_t)0x32fe, (q15_t)0x8a99,
+ (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32f3, (q15_t)0x8a94, (q15_t)0x32ed, (q15_t)0x8a92, (q15_t)0x32e7, (q15_t)0x8a8f,
+ (q15_t)0x32e1, (q15_t)0x8a8d, (q15_t)0x32db, (q15_t)0x8a8a, (q15_t)0x32d6, (q15_t)0x8a88, (q15_t)0x32d0, (q15_t)0x8a85,
+ (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32c4, (q15_t)0x8a80, (q15_t)0x32bf, (q15_t)0x8a7e, (q15_t)0x32b9, (q15_t)0x8a7b,
+ (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x32ad, (q15_t)0x8a76, (q15_t)0x32a8, (q15_t)0x8a74, (q15_t)0x32a2, (q15_t)0x8a71,
+ (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3296, (q15_t)0x8a6c, (q15_t)0x3290, (q15_t)0x8a6a, (q15_t)0x328b, (q15_t)0x8a67,
+ (q15_t)0x3285, (q15_t)0x8a65, (q15_t)0x327f, (q15_t)0x8a62, (q15_t)0x3279, (q15_t)0x8a60, (q15_t)0x3274, (q15_t)0x8a5d,
+ (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3268, (q15_t)0x8a59, (q15_t)0x3262, (q15_t)0x8a56, (q15_t)0x325d, (q15_t)0x8a54,
+ (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3251, (q15_t)0x8a4f, (q15_t)0x324b, (q15_t)0x8a4c, (q15_t)0x3245, (q15_t)0x8a4a,
+ (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x323a, (q15_t)0x8a45, (q15_t)0x3234, (q15_t)0x8a42, (q15_t)0x322e, (q15_t)0x8a40,
+ (q15_t)0x3228, (q15_t)0x8a3d, (q15_t)0x3223, (q15_t)0x8a3b, (q15_t)0x321d, (q15_t)0x8a38, (q15_t)0x3217, (q15_t)0x8a36,
+ (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x320c, (q15_t)0x8a31, (q15_t)0x3206, (q15_t)0x8a2f, (q15_t)0x3200, (q15_t)0x8a2c,
+ (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31f4, (q15_t)0x8a27, (q15_t)0x31ef, (q15_t)0x8a25, (q15_t)0x31e9, (q15_t)0x8a22,
+ (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31dd, (q15_t)0x8a1d, (q15_t)0x31d8, (q15_t)0x8a1b, (q15_t)0x31d2, (q15_t)0x8a19,
+ (q15_t)0x31cc, (q15_t)0x8a16, (q15_t)0x31c6, (q15_t)0x8a14, (q15_t)0x31c0, (q15_t)0x8a11, (q15_t)0x31bb, (q15_t)0x8a0f,
+ (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x31af, (q15_t)0x8a0a, (q15_t)0x31a9, (q15_t)0x8a07, (q15_t)0x31a3, (q15_t)0x8a05,
+ (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3198, (q15_t)0x8a00, (q15_t)0x3192, (q15_t)0x89fe, (q15_t)0x318c, (q15_t)0x89fb,
+ (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x3181, (q15_t)0x89f6, (q15_t)0x317b, (q15_t)0x89f4, (q15_t)0x3175, (q15_t)0x89f2,
+ (q15_t)0x316f, (q15_t)0x89ef, (q15_t)0x3169, (q15_t)0x89ed, (q15_t)0x3164, (q15_t)0x89ea, (q15_t)0x315e, (q15_t)0x89e8,
+ (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3152, (q15_t)0x89e3, (q15_t)0x314c, (q15_t)0x89e1, (q15_t)0x3147, (q15_t)0x89de,
+ (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x313b, (q15_t)0x89d9, (q15_t)0x3135, (q15_t)0x89d7, (q15_t)0x312f, (q15_t)0x89d5,
+ (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3124, (q15_t)0x89d0, (q15_t)0x311e, (q15_t)0x89cd, (q15_t)0x3118, (q15_t)0x89cb,
+ (q15_t)0x3112, (q15_t)0x89c8, (q15_t)0x310d, (q15_t)0x89c6, (q15_t)0x3107, (q15_t)0x89c4, (q15_t)0x3101, (q15_t)0x89c1,
+ (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30f5, (q15_t)0x89bc, (q15_t)0x30f0, (q15_t)0x89ba, (q15_t)0x30ea, (q15_t)0x89b8,
+ (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30de, (q15_t)0x89b3, (q15_t)0x30d8, (q15_t)0x89b0, (q15_t)0x30d3, (q15_t)0x89ae,
+ (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30c7, (q15_t)0x89a9, (q15_t)0x30c1, (q15_t)0x89a7, (q15_t)0x30bb, (q15_t)0x89a4,
+ (q15_t)0x30b6, (q15_t)0x89a2, (q15_t)0x30b0, (q15_t)0x89a0, (q15_t)0x30aa, (q15_t)0x899d, (q15_t)0x30a4, (q15_t)0x899b,
+ (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3099, (q15_t)0x8996, (q15_t)0x3093, (q15_t)0x8994, (q15_t)0x308d, (q15_t)0x8991,
+ (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3081, (q15_t)0x898d, (q15_t)0x307b, (q15_t)0x898a, (q15_t)0x3076, (q15_t)0x8988,
+ (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x306a, (q15_t)0x8983, (q15_t)0x3064, (q15_t)0x8981, (q15_t)0x305e, (q15_t)0x897e,
+ (q15_t)0x3059, (q15_t)0x897c, (q15_t)0x3053, (q15_t)0x897a, (q15_t)0x304d, (q15_t)0x8977, (q15_t)0x3047, (q15_t)0x8975,
+ (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x303b, (q15_t)0x8970, (q15_t)0x3036, (q15_t)0x896e, (q15_t)0x3030, (q15_t)0x896b,
+ (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3024, (q15_t)0x8967, (q15_t)0x301e, (q15_t)0x8964, (q15_t)0x3019, (q15_t)0x8962,
+ (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x300d, (q15_t)0x895d, (q15_t)0x3007, (q15_t)0x895b, (q15_t)0x3001, (q15_t)0x8958,
+ (q15_t)0x2ffb, (q15_t)0x8956, (q15_t)0x2ff6, (q15_t)0x8954, (q15_t)0x2ff0, (q15_t)0x8951, (q15_t)0x2fea, (q15_t)0x894f,
+ (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fde, (q15_t)0x894a, (q15_t)0x2fd8, (q15_t)0x8948, (q15_t)0x2fd3, (q15_t)0x8946,
+ (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fc7, (q15_t)0x8941, (q15_t)0x2fc1, (q15_t)0x893f, (q15_t)0x2fbb, (q15_t)0x893c,
+ (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2fb0, (q15_t)0x8938, (q15_t)0x2faa, (q15_t)0x8935, (q15_t)0x2fa4, (q15_t)0x8933,
+ (q15_t)0x2f9e, (q15_t)0x8931, (q15_t)0x2f98, (q15_t)0x892e, (q15_t)0x2f92, (q15_t)0x892c, (q15_t)0x2f8d, (q15_t)0x892a,
+ (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f81, (q15_t)0x8925, (q15_t)0x2f7b, (q15_t)0x8923, (q15_t)0x2f75, (q15_t)0x8920,
+ (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f6a, (q15_t)0x891c, (q15_t)0x2f64, (q15_t)0x8919, (q15_t)0x2f5e, (q15_t)0x8917,
+ (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f52, (q15_t)0x8912, (q15_t)0x2f4c, (q15_t)0x8910, (q15_t)0x2f47, (q15_t)0x890e,
+ (q15_t)0x2f41, (q15_t)0x890b, (q15_t)0x2f3b, (q15_t)0x8909, (q15_t)0x2f35, (q15_t)0x8907, (q15_t)0x2f2f, (q15_t)0x8904,
+ (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f24, (q15_t)0x8900, (q15_t)0x2f1e, (q15_t)0x88fd, (q15_t)0x2f18, (q15_t)0x88fb,
+ (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2f0c, (q15_t)0x88f6, (q15_t)0x2f06, (q15_t)0x88f4, (q15_t)0x2f01, (q15_t)0x88f2,
+ (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ef5, (q15_t)0x88ed, (q15_t)0x2eef, (q15_t)0x88eb, (q15_t)0x2ee9, (q15_t)0x88e9,
+ (q15_t)0x2ee3, (q15_t)0x88e6, (q15_t)0x2edd, (q15_t)0x88e4, (q15_t)0x2ed8, (q15_t)0x88e2, (q15_t)0x2ed2, (q15_t)0x88df,
+ (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2ec6, (q15_t)0x88db, (q15_t)0x2ec0, (q15_t)0x88d9, (q15_t)0x2eba, (q15_t)0x88d6,
+ (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2eaf, (q15_t)0x88d2, (q15_t)0x2ea9, (q15_t)0x88cf, (q15_t)0x2ea3, (q15_t)0x88cd,
+ (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e97, (q15_t)0x88c8, (q15_t)0x2e91, (q15_t)0x88c6, (q15_t)0x2e8c, (q15_t)0x88c4,
+ (q15_t)0x2e86, (q15_t)0x88c2, (q15_t)0x2e80, (q15_t)0x88bf, (q15_t)0x2e7a, (q15_t)0x88bd, (q15_t)0x2e74, (q15_t)0x88bb,
+ (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e68, (q15_t)0x88b6, (q15_t)0x2e63, (q15_t)0x88b4, (q15_t)0x2e5d, (q15_t)0x88b2,
+ (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e51, (q15_t)0x88ad, (q15_t)0x2e4b, (q15_t)0x88ab, (q15_t)0x2e45, (q15_t)0x88a9,
+ (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e3a, (q15_t)0x88a4, (q15_t)0x2e34, (q15_t)0x88a2, (q15_t)0x2e2e, (q15_t)0x88a0,
+ (q15_t)0x2e28, (q15_t)0x889d, (q15_t)0x2e22, (q15_t)0x889b, (q15_t)0x2e1c, (q15_t)0x8899, (q15_t)0x2e16, (q15_t)0x8896,
+ (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2e0b, (q15_t)0x8892, (q15_t)0x2e05, (q15_t)0x8890, (q15_t)0x2dff, (q15_t)0x888d,
+ (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2df3, (q15_t)0x8889, (q15_t)0x2ded, (q15_t)0x8887, (q15_t)0x2de7, (q15_t)0x8884,
+ (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2ddc, (q15_t)0x8880, (q15_t)0x2dd6, (q15_t)0x887e, (q15_t)0x2dd0, (q15_t)0x887b,
+ (q15_t)0x2dca, (q15_t)0x8879, (q15_t)0x2dc4, (q15_t)0x8877, (q15_t)0x2dbe, (q15_t)0x8875, (q15_t)0x2db9, (q15_t)0x8872,
+ (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2dad, (q15_t)0x886e, (q15_t)0x2da7, (q15_t)0x886c, (q15_t)0x2da1, (q15_t)0x8869,
+ (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d95, (q15_t)0x8865, (q15_t)0x2d8f, (q15_t)0x8863, (q15_t)0x2d8a, (q15_t)0x8860,
+ (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d7e, (q15_t)0x885c, (q15_t)0x2d78, (q15_t)0x885a, (q15_t)0x2d72, (q15_t)0x8858,
+ (q15_t)0x2d6c, (q15_t)0x8855, (q15_t)0x2d66, (q15_t)0x8853, (q15_t)0x2d60, (q15_t)0x8851, (q15_t)0x2d5b, (q15_t)0x884f,
+ (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d4f, (q15_t)0x884a, (q15_t)0x2d49, (q15_t)0x8848, (q15_t)0x2d43, (q15_t)0x8846,
+ (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d37, (q15_t)0x8841, (q15_t)0x2d31, (q15_t)0x883f, (q15_t)0x2d2c, (q15_t)0x883d,
+ (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d20, (q15_t)0x8838, (q15_t)0x2d1a, (q15_t)0x8836, (q15_t)0x2d14, (q15_t)0x8834,
+ (q15_t)0x2d0e, (q15_t)0x8832, (q15_t)0x2d08, (q15_t)0x8830, (q15_t)0x2d02, (q15_t)0x882d, (q15_t)0x2cfd, (q15_t)0x882b,
+ (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cf1, (q15_t)0x8827, (q15_t)0x2ceb, (q15_t)0x8825, (q15_t)0x2ce5, (q15_t)0x8822,
+ (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cd9, (q15_t)0x881e, (q15_t)0x2cd3, (q15_t)0x881c, (q15_t)0x2ccd, (q15_t)0x881a,
+ (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cc2, (q15_t)0x8815, (q15_t)0x2cbc, (q15_t)0x8813, (q15_t)0x2cb6, (q15_t)0x8811,
+ (q15_t)0x2cb0, (q15_t)0x880f, (q15_t)0x2caa, (q15_t)0x880c, (q15_t)0x2ca4, (q15_t)0x880a, (q15_t)0x2c9e, (q15_t)0x8808,
+ (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c93, (q15_t)0x8804, (q15_t)0x2c8d, (q15_t)0x8801, (q15_t)0x2c87, (q15_t)0x87ff,
+ (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c7b, (q15_t)0x87fb, (q15_t)0x2c75, (q15_t)0x87f9, (q15_t)0x2c6f, (q15_t)0x87f6,
+ (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c63, (q15_t)0x87f2, (q15_t)0x2c5e, (q15_t)0x87f0, (q15_t)0x2c58, (q15_t)0x87ee,
+ (q15_t)0x2c52, (q15_t)0x87ec, (q15_t)0x2c4c, (q15_t)0x87e9, (q15_t)0x2c46, (q15_t)0x87e7, (q15_t)0x2c40, (q15_t)0x87e5,
+ (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c34, (q15_t)0x87e1, (q15_t)0x2c2e, (q15_t)0x87df, (q15_t)0x2c29, (q15_t)0x87dc,
+ (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c1d, (q15_t)0x87d8, (q15_t)0x2c17, (q15_t)0x87d6, (q15_t)0x2c11, (q15_t)0x87d4,
+ (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2c05, (q15_t)0x87cf, (q15_t)0x2bff, (q15_t)0x87cd, (q15_t)0x2bf9, (q15_t)0x87cb,
+ (q15_t)0x2bf3, (q15_t)0x87c9, (q15_t)0x2bee, (q15_t)0x87c7, (q15_t)0x2be8, (q15_t)0x87c5, (q15_t)0x2be2, (q15_t)0x87c2,
+ (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bd6, (q15_t)0x87be, (q15_t)0x2bd0, (q15_t)0x87bc, (q15_t)0x2bca, (q15_t)0x87ba,
+ (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bbe, (q15_t)0x87b6, (q15_t)0x2bb8, (q15_t)0x87b3, (q15_t)0x2bb2, (q15_t)0x87b1,
+ (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2ba7, (q15_t)0x87ad, (q15_t)0x2ba1, (q15_t)0x87ab, (q15_t)0x2b9b, (q15_t)0x87a9,
+ (q15_t)0x2b95, (q15_t)0x87a7, (q15_t)0x2b8f, (q15_t)0x87a4, (q15_t)0x2b89, (q15_t)0x87a2, (q15_t)0x2b83, (q15_t)0x87a0,
+ (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b77, (q15_t)0x879c, (q15_t)0x2b71, (q15_t)0x879a, (q15_t)0x2b6c, (q15_t)0x8798,
+ (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b60, (q15_t)0x8793, (q15_t)0x2b5a, (q15_t)0x8791, (q15_t)0x2b54, (q15_t)0x878f,
+ (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b48, (q15_t)0x878b, (q15_t)0x2b42, (q15_t)0x8789, (q15_t)0x2b3c, (q15_t)0x8787,
+ (q15_t)0x2b36, (q15_t)0x8784, (q15_t)0x2b30, (q15_t)0x8782, (q15_t)0x2b2b, (q15_t)0x8780, (q15_t)0x2b25, (q15_t)0x877e,
+ (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b19, (q15_t)0x877a, (q15_t)0x2b13, (q15_t)0x8778, (q15_t)0x2b0d, (q15_t)0x8776,
+ (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2b01, (q15_t)0x8771, (q15_t)0x2afb, (q15_t)0x876f, (q15_t)0x2af5, (q15_t)0x876d,
+ (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ae9, (q15_t)0x8769, (q15_t)0x2ae4, (q15_t)0x8767, (q15_t)0x2ade, (q15_t)0x8765,
+ (q15_t)0x2ad8, (q15_t)0x8763, (q15_t)0x2ad2, (q15_t)0x8761, (q15_t)0x2acc, (q15_t)0x875e, (q15_t)0x2ac6, (q15_t)0x875c,
+ (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aba, (q15_t)0x8758, (q15_t)0x2ab4, (q15_t)0x8756, (q15_t)0x2aae, (q15_t)0x8754,
+ (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2aa2, (q15_t)0x8750, (q15_t)0x2a9c, (q15_t)0x874e, (q15_t)0x2a97, (q15_t)0x874c,
+ (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a8b, (q15_t)0x8747, (q15_t)0x2a85, (q15_t)0x8745, (q15_t)0x2a7f, (q15_t)0x8743,
+ (q15_t)0x2a79, (q15_t)0x8741, (q15_t)0x2a73, (q15_t)0x873f, (q15_t)0x2a6d, (q15_t)0x873d, (q15_t)0x2a67, (q15_t)0x873b,
+ (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a5b, (q15_t)0x8737, (q15_t)0x2a55, (q15_t)0x8735, (q15_t)0x2a4f, (q15_t)0x8733,
+ (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a44, (q15_t)0x872e, (q15_t)0x2a3e, (q15_t)0x872c, (q15_t)0x2a38, (q15_t)0x872a,
+ (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a2c, (q15_t)0x8726, (q15_t)0x2a26, (q15_t)0x8724, (q15_t)0x2a20, (q15_t)0x8722,
+ (q15_t)0x2a1a, (q15_t)0x8720, (q15_t)0x2a14, (q15_t)0x871e, (q15_t)0x2a0e, (q15_t)0x871c, (q15_t)0x2a08, (q15_t)0x871a,
+ (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29fc, (q15_t)0x8716, (q15_t)0x29f6, (q15_t)0x8714, (q15_t)0x29f0, (q15_t)0x8712,
+ (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29e5, (q15_t)0x870d, (q15_t)0x29df, (q15_t)0x870b, (q15_t)0x29d9, (q15_t)0x8709,
+ (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29cd, (q15_t)0x8705, (q15_t)0x29c7, (q15_t)0x8703, (q15_t)0x29c1, (q15_t)0x8701,
+ (q15_t)0x29bb, (q15_t)0x86ff, (q15_t)0x29b5, (q15_t)0x86fd, (q15_t)0x29af, (q15_t)0x86fb, (q15_t)0x29a9, (q15_t)0x86f9,
+ (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x299d, (q15_t)0x86f5, (q15_t)0x2997, (q15_t)0x86f3, (q15_t)0x2991, (q15_t)0x86f1,
+ (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2986, (q15_t)0x86ed, (q15_t)0x2980, (q15_t)0x86eb, (q15_t)0x297a, (q15_t)0x86e9,
+ (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x296e, (q15_t)0x86e4, (q15_t)0x2968, (q15_t)0x86e2, (q15_t)0x2962, (q15_t)0x86e0,
+ (q15_t)0x295c, (q15_t)0x86de, (q15_t)0x2956, (q15_t)0x86dc, (q15_t)0x2950, (q15_t)0x86da, (q15_t)0x294a, (q15_t)0x86d8,
+ (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x293e, (q15_t)0x86d4, (q15_t)0x2938, (q15_t)0x86d2, (q15_t)0x2932, (q15_t)0x86d0,
+ (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2926, (q15_t)0x86cc, (q15_t)0x2920, (q15_t)0x86ca, (q15_t)0x291b, (q15_t)0x86c8,
+ (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x290f, (q15_t)0x86c4, (q15_t)0x2909, (q15_t)0x86c2, (q15_t)0x2903, (q15_t)0x86c0,
+ (q15_t)0x28fd, (q15_t)0x86be, (q15_t)0x28f7, (q15_t)0x86bc, (q15_t)0x28f1, (q15_t)0x86ba, (q15_t)0x28eb, (q15_t)0x86b8,
+ (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28df, (q15_t)0x86b4, (q15_t)0x28d9, (q15_t)0x86b2, (q15_t)0x28d3, (q15_t)0x86b0,
+ (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28c7, (q15_t)0x86ac, (q15_t)0x28c1, (q15_t)0x86aa, (q15_t)0x28bb, (q15_t)0x86a8,
+ (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x28af, (q15_t)0x86a4, (q15_t)0x28a9, (q15_t)0x86a2, (q15_t)0x28a3, (q15_t)0x86a0,
+ (q15_t)0x289d, (q15_t)0x869e, (q15_t)0x2898, (q15_t)0x869c, (q15_t)0x2892, (q15_t)0x869a, (q15_t)0x288c, (q15_t)0x8698,
+ (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x2880, (q15_t)0x8694, (q15_t)0x287a, (q15_t)0x8692, (q15_t)0x2874, (q15_t)0x8690,
+ (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2868, (q15_t)0x868c, (q15_t)0x2862, (q15_t)0x868a, (q15_t)0x285c, (q15_t)0x8688,
+ (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x2850, (q15_t)0x8684, (q15_t)0x284a, (q15_t)0x8682, (q15_t)0x2844, (q15_t)0x8680,
+ (q15_t)0x283e, (q15_t)0x867e, (q15_t)0x2838, (q15_t)0x867c, (q15_t)0x2832, (q15_t)0x867a, (q15_t)0x282c, (q15_t)0x8678,
+ (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x2820, (q15_t)0x8674, (q15_t)0x281a, (q15_t)0x8672, (q15_t)0x2814, (q15_t)0x8670,
+ (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x2808, (q15_t)0x866d, (q15_t)0x2802, (q15_t)0x866b, (q15_t)0x27fc, (q15_t)0x8669,
+ (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27f1, (q15_t)0x8665, (q15_t)0x27eb, (q15_t)0x8663, (q15_t)0x27e5, (q15_t)0x8661,
+ (q15_t)0x27df, (q15_t)0x865f, (q15_t)0x27d9, (q15_t)0x865d, (q15_t)0x27d3, (q15_t)0x865b, (q15_t)0x27cd, (q15_t)0x8659,
+ (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27c1, (q15_t)0x8655, (q15_t)0x27bb, (q15_t)0x8653, (q15_t)0x27b5, (q15_t)0x8651,
+ (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x27a9, (q15_t)0x864d, (q15_t)0x27a3, (q15_t)0x864b, (q15_t)0x279d, (q15_t)0x8649,
+ (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x2791, (q15_t)0x8645, (q15_t)0x278b, (q15_t)0x8644, (q15_t)0x2785, (q15_t)0x8642,
+ (q15_t)0x277f, (q15_t)0x8640, (q15_t)0x2779, (q15_t)0x863e, (q15_t)0x2773, (q15_t)0x863c, (q15_t)0x276d, (q15_t)0x863a,
+ (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2761, (q15_t)0x8636, (q15_t)0x275b, (q15_t)0x8634, (q15_t)0x2755, (q15_t)0x8632,
+ (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2749, (q15_t)0x862e, (q15_t)0x2743, (q15_t)0x862c, (q15_t)0x273d, (q15_t)0x862a,
+ (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x2731, (q15_t)0x8627, (q15_t)0x272b, (q15_t)0x8625, (q15_t)0x2725, (q15_t)0x8623,
+ (q15_t)0x271f, (q15_t)0x8621, (q15_t)0x2719, (q15_t)0x861f, (q15_t)0x2713, (q15_t)0x861d, (q15_t)0x270d, (q15_t)0x861b,
+ (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x2701, (q15_t)0x8617, (q15_t)0x26fb, (q15_t)0x8615, (q15_t)0x26f5, (q15_t)0x8613,
+ (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26e9, (q15_t)0x8610, (q15_t)0x26e4, (q15_t)0x860e, (q15_t)0x26de, (q15_t)0x860c,
+ (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26d2, (q15_t)0x8608, (q15_t)0x26cc, (q15_t)0x8606, (q15_t)0x26c6, (q15_t)0x8604,
+ (q15_t)0x26c0, (q15_t)0x8602, (q15_t)0x26ba, (q15_t)0x8600, (q15_t)0x26b4, (q15_t)0x85fe, (q15_t)0x26ae, (q15_t)0x85fc,
+ (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x26a2, (q15_t)0x85f9, (q15_t)0x269c, (q15_t)0x85f7, (q15_t)0x2696, (q15_t)0x85f5,
+ (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x268a, (q15_t)0x85f1, (q15_t)0x2684, (q15_t)0x85ef, (q15_t)0x267e, (q15_t)0x85ed,
+ (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2672, (q15_t)0x85ea, (q15_t)0x266c, (q15_t)0x85e8, (q15_t)0x2666, (q15_t)0x85e6,
+ (q15_t)0x2660, (q15_t)0x85e4, (q15_t)0x265a, (q15_t)0x85e2, (q15_t)0x2654, (q15_t)0x85e0, (q15_t)0x264e, (q15_t)0x85de,
+ (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2642, (q15_t)0x85da, (q15_t)0x263c, (q15_t)0x85d9, (q15_t)0x2636, (q15_t)0x85d7,
+ (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x262a, (q15_t)0x85d3, (q15_t)0x2624, (q15_t)0x85d1, (q15_t)0x261e, (q15_t)0x85cf,
+ (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2612, (q15_t)0x85cb, (q15_t)0x260c, (q15_t)0x85ca, (q15_t)0x2606, (q15_t)0x85c8,
+ (q15_t)0x2600, (q15_t)0x85c6, (q15_t)0x25fa, (q15_t)0x85c4, (q15_t)0x25f4, (q15_t)0x85c2, (q15_t)0x25ee, (q15_t)0x85c0,
+ (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25e2, (q15_t)0x85bd, (q15_t)0x25dc, (q15_t)0x85bb, (q15_t)0x25d6, (q15_t)0x85b9,
+ (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25ca, (q15_t)0x85b5, (q15_t)0x25c4, (q15_t)0x85b3, (q15_t)0x25be, (q15_t)0x85b1,
+ (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25b2, (q15_t)0x85ae, (q15_t)0x25ac, (q15_t)0x85ac, (q15_t)0x25a6, (q15_t)0x85aa,
+ (q15_t)0x25a0, (q15_t)0x85a8, (q15_t)0x259a, (q15_t)0x85a6, (q15_t)0x2594, (q15_t)0x85a4, (q15_t)0x258e, (q15_t)0x85a3,
+ (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2582, (q15_t)0x859f, (q15_t)0x257c, (q15_t)0x859d, (q15_t)0x2576, (q15_t)0x859b,
+ (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x256a, (q15_t)0x8598, (q15_t)0x2564, (q15_t)0x8596, (q15_t)0x255e, (q15_t)0x8594,
+ (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2552, (q15_t)0x8590, (q15_t)0x254c, (q15_t)0x858e, (q15_t)0x2546, (q15_t)0x858d,
+ (q15_t)0x2540, (q15_t)0x858b, (q15_t)0x253a, (q15_t)0x8589, (q15_t)0x2534, (q15_t)0x8587, (q15_t)0x252e, (q15_t)0x8585,
+ (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x2522, (q15_t)0x8582, (q15_t)0x251c, (q15_t)0x8580, (q15_t)0x2516, (q15_t)0x857e,
+ (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x2509, (q15_t)0x857a, (q15_t)0x2503, (q15_t)0x8579, (q15_t)0x24fd, (q15_t)0x8577,
+ (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24f1, (q15_t)0x8573, (q15_t)0x24eb, (q15_t)0x8571, (q15_t)0x24e5, (q15_t)0x856f,
+ (q15_t)0x24df, (q15_t)0x856e, (q15_t)0x24d9, (q15_t)0x856c, (q15_t)0x24d3, (q15_t)0x856a, (q15_t)0x24cd, (q15_t)0x8568,
+ (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24c1, (q15_t)0x8565, (q15_t)0x24bb, (q15_t)0x8563, (q15_t)0x24b5, (q15_t)0x8561,
+ (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x24a9, (q15_t)0x855d, (q15_t)0x24a3, (q15_t)0x855c, (q15_t)0x249d, (q15_t)0x855a,
+ (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x2491, (q15_t)0x8556, (q15_t)0x248b, (q15_t)0x8554, (q15_t)0x2485, (q15_t)0x8553,
+ (q15_t)0x247f, (q15_t)0x8551, (q15_t)0x2479, (q15_t)0x854f, (q15_t)0x2473, (q15_t)0x854d, (q15_t)0x246d, (q15_t)0x854b,
+ (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2461, (q15_t)0x8548, (q15_t)0x245b, (q15_t)0x8546, (q15_t)0x2455, (q15_t)0x8544,
+ (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2449, (q15_t)0x8541, (q15_t)0x2443, (q15_t)0x853f, (q15_t)0x243d, (q15_t)0x853d,
+ (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x2431, (q15_t)0x853a, (q15_t)0x242b, (q15_t)0x8538, (q15_t)0x2425, (q15_t)0x8536,
+ (q15_t)0x241f, (q15_t)0x8534, (q15_t)0x2419, (q15_t)0x8533, (q15_t)0x2413, (q15_t)0x8531, (q15_t)0x240d, (q15_t)0x852f,
+ (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x2401, (q15_t)0x852b, (q15_t)0x23fa, (q15_t)0x852a, (q15_t)0x23f4, (q15_t)0x8528,
+ (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23e8, (q15_t)0x8524, (q15_t)0x23e2, (q15_t)0x8523, (q15_t)0x23dc, (q15_t)0x8521,
+ (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23d0, (q15_t)0x851d, (q15_t)0x23ca, (q15_t)0x851c, (q15_t)0x23c4, (q15_t)0x851a,
+ (q15_t)0x23be, (q15_t)0x8518, (q15_t)0x23b8, (q15_t)0x8516, (q15_t)0x23b2, (q15_t)0x8515, (q15_t)0x23ac, (q15_t)0x8513,
+ (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x23a0, (q15_t)0x850f, (q15_t)0x239a, (q15_t)0x850e, (q15_t)0x2394, (q15_t)0x850c,
+ (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2388, (q15_t)0x8508, (q15_t)0x2382, (q15_t)0x8507, (q15_t)0x237c, (q15_t)0x8505,
+ (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x2370, (q15_t)0x8501, (q15_t)0x236a, (q15_t)0x8500, (q15_t)0x2364, (q15_t)0x84fe,
+ (q15_t)0x235e, (q15_t)0x84fc, (q15_t)0x2358, (q15_t)0x84fa, (q15_t)0x2352, (q15_t)0x84f9, (q15_t)0x234b, (q15_t)0x84f7,
+ (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x233f, (q15_t)0x84f4, (q15_t)0x2339, (q15_t)0x84f2, (q15_t)0x2333, (q15_t)0x84f0,
+ (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2327, (q15_t)0x84ed, (q15_t)0x2321, (q15_t)0x84eb, (q15_t)0x231b, (q15_t)0x84e9,
+ (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x230f, (q15_t)0x84e6, (q15_t)0x2309, (q15_t)0x84e4, (q15_t)0x2303, (q15_t)0x84e2,
+ (q15_t)0x22fd, (q15_t)0x84e1, (q15_t)0x22f7, (q15_t)0x84df, (q15_t)0x22f1, (q15_t)0x84dd, (q15_t)0x22eb, (q15_t)0x84db,
+ (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22df, (q15_t)0x84d8, (q15_t)0x22d9, (q15_t)0x84d6, (q15_t)0x22d3, (q15_t)0x84d5,
+ (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22c7, (q15_t)0x84d1, (q15_t)0x22c0, (q15_t)0x84cf, (q15_t)0x22ba, (q15_t)0x84ce,
+ (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x22ae, (q15_t)0x84ca, (q15_t)0x22a8, (q15_t)0x84c9, (q15_t)0x22a2, (q15_t)0x84c7,
+ (q15_t)0x229c, (q15_t)0x84c5, (q15_t)0x2296, (q15_t)0x84c4, (q15_t)0x2290, (q15_t)0x84c2, (q15_t)0x228a, (q15_t)0x84c0,
+ (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x227e, (q15_t)0x84bd, (q15_t)0x2278, (q15_t)0x84bb, (q15_t)0x2272, (q15_t)0x84b9,
+ (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2266, (q15_t)0x84b6, (q15_t)0x2260, (q15_t)0x84b4, (q15_t)0x225a, (q15_t)0x84b3,
+ (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x224e, (q15_t)0x84af, (q15_t)0x2247, (q15_t)0x84ae, (q15_t)0x2241, (q15_t)0x84ac,
+ (q15_t)0x223b, (q15_t)0x84aa, (q15_t)0x2235, (q15_t)0x84a9, (q15_t)0x222f, (q15_t)0x84a7, (q15_t)0x2229, (q15_t)0x84a5,
+ (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x221d, (q15_t)0x84a2, (q15_t)0x2217, (q15_t)0x84a0, (q15_t)0x2211, (q15_t)0x849e,
+ (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x2205, (q15_t)0x849b, (q15_t)0x21ff, (q15_t)0x8499, (q15_t)0x21f9, (q15_t)0x8498,
+ (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21ed, (q15_t)0x8494, (q15_t)0x21e7, (q15_t)0x8493, (q15_t)0x21e1, (q15_t)0x8491,
+ (q15_t)0x21da, (q15_t)0x848f, (q15_t)0x21d4, (q15_t)0x848e, (q15_t)0x21ce, (q15_t)0x848c, (q15_t)0x21c8, (q15_t)0x848a,
+ (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21bc, (q15_t)0x8487, (q15_t)0x21b6, (q15_t)0x8486, (q15_t)0x21b0, (q15_t)0x8484,
+ (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x21a4, (q15_t)0x8481, (q15_t)0x219e, (q15_t)0x847f, (q15_t)0x2198, (q15_t)0x847d,
+ (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x218c, (q15_t)0x847a, (q15_t)0x2186, (q15_t)0x8478, (q15_t)0x2180, (q15_t)0x8477,
+ (q15_t)0x2179, (q15_t)0x8475, (q15_t)0x2173, (q15_t)0x8473, (q15_t)0x216d, (q15_t)0x8472, (q15_t)0x2167, (q15_t)0x8470,
+ (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x215b, (q15_t)0x846d, (q15_t)0x2155, (q15_t)0x846b, (q15_t)0x214f, (q15_t)0x846a,
+ (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2143, (q15_t)0x8466, (q15_t)0x213d, (q15_t)0x8465, (q15_t)0x2137, (q15_t)0x8463,
+ (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x212b, (q15_t)0x8460, (q15_t)0x2125, (q15_t)0x845e, (q15_t)0x211e, (q15_t)0x845d,
+ (q15_t)0x2118, (q15_t)0x845b, (q15_t)0x2112, (q15_t)0x8459, (q15_t)0x210c, (q15_t)0x8458, (q15_t)0x2106, (q15_t)0x8456,
+ (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20fa, (q15_t)0x8453, (q15_t)0x20f4, (q15_t)0x8451, (q15_t)0x20ee, (q15_t)0x8450,
+ (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20e2, (q15_t)0x844c, (q15_t)0x20dc, (q15_t)0x844b, (q15_t)0x20d6, (q15_t)0x8449,
+ (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20c9, (q15_t)0x8446, (q15_t)0x20c3, (q15_t)0x8444, (q15_t)0x20bd, (q15_t)0x8443,
+ (q15_t)0x20b7, (q15_t)0x8441, (q15_t)0x20b1, (q15_t)0x843f, (q15_t)0x20ab, (q15_t)0x843e, (q15_t)0x20a5, (q15_t)0x843c,
+ (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2099, (q15_t)0x8439, (q15_t)0x2093, (q15_t)0x8437, (q15_t)0x208d, (q15_t)0x8436,
+ (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x2081, (q15_t)0x8433, (q15_t)0x207a, (q15_t)0x8431, (q15_t)0x2074, (q15_t)0x842f,
+ (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2068, (q15_t)0x842c, (q15_t)0x2062, (q15_t)0x842b, (q15_t)0x205c, (q15_t)0x8429,
+ (q15_t)0x2056, (q15_t)0x8427, (q15_t)0x2050, (q15_t)0x8426, (q15_t)0x204a, (q15_t)0x8424, (q15_t)0x2044, (q15_t)0x8423,
+ (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2038, (q15_t)0x8420, (q15_t)0x2032, (q15_t)0x841e, (q15_t)0x202b, (q15_t)0x841c,
+ (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x201f, (q15_t)0x8419, (q15_t)0x2019, (q15_t)0x8418, (q15_t)0x2013, (q15_t)0x8416,
+ (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x2007, (q15_t)0x8413, (q15_t)0x2001, (q15_t)0x8411, (q15_t)0x1ffb, (q15_t)0x8410,
+ (q15_t)0x1ff5, (q15_t)0x840e, (q15_t)0x1fef, (q15_t)0x840d, (q15_t)0x1fe9, (q15_t)0x840b, (q15_t)0x1fe2, (q15_t)0x840a,
+ (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fd6, (q15_t)0x8406, (q15_t)0x1fd0, (q15_t)0x8405, (q15_t)0x1fca, (q15_t)0x8403,
+ (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fbe, (q15_t)0x8400, (q15_t)0x1fb8, (q15_t)0x83ff, (q15_t)0x1fb2, (q15_t)0x83fd,
+ (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1fa6, (q15_t)0x83fa, (q15_t)0x1f9f, (q15_t)0x83f8, (q15_t)0x1f99, (q15_t)0x83f7,
+ (q15_t)0x1f93, (q15_t)0x83f5, (q15_t)0x1f8d, (q15_t)0x83f4, (q15_t)0x1f87, (q15_t)0x83f2, (q15_t)0x1f81, (q15_t)0x83f1,
+ (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f75, (q15_t)0x83ee, (q15_t)0x1f6f, (q15_t)0x83ec, (q15_t)0x1f69, (q15_t)0x83ea,
+ (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f5d, (q15_t)0x83e7, (q15_t)0x1f56, (q15_t)0x83e6, (q15_t)0x1f50, (q15_t)0x83e4,
+ (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f44, (q15_t)0x83e1, (q15_t)0x1f3e, (q15_t)0x83e0, (q15_t)0x1f38, (q15_t)0x83de,
+ (q15_t)0x1f32, (q15_t)0x83dd, (q15_t)0x1f2c, (q15_t)0x83db, (q15_t)0x1f26, (q15_t)0x83da, (q15_t)0x1f20, (q15_t)0x83d8,
+ (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f13, (q15_t)0x83d5, (q15_t)0x1f0d, (q15_t)0x83d3, (q15_t)0x1f07, (q15_t)0x83d2,
+ (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1efb, (q15_t)0x83cf, (q15_t)0x1ef5, (q15_t)0x83cd, (q15_t)0x1eef, (q15_t)0x83cc,
+ (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ee3, (q15_t)0x83c9, (q15_t)0x1edd, (q15_t)0x83c7, (q15_t)0x1ed6, (q15_t)0x83c6,
+ (q15_t)0x1ed0, (q15_t)0x83c4, (q15_t)0x1eca, (q15_t)0x83c3, (q15_t)0x1ec4, (q15_t)0x83c1, (q15_t)0x1ebe, (q15_t)0x83c0,
+ (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1eb2, (q15_t)0x83bd, (q15_t)0x1eac, (q15_t)0x83bb, (q15_t)0x1ea6, (q15_t)0x83ba,
+ (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e99, (q15_t)0x83b7, (q15_t)0x1e93, (q15_t)0x83b5, (q15_t)0x1e8d, (q15_t)0x83b4,
+ (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e81, (q15_t)0x83b1, (q15_t)0x1e7b, (q15_t)0x83af, (q15_t)0x1e75, (q15_t)0x83ae,
+ (q15_t)0x1e6f, (q15_t)0x83ac, (q15_t)0x1e69, (q15_t)0x83ab, (q15_t)0x1e62, (q15_t)0x83a9, (q15_t)0x1e5c, (q15_t)0x83a8,
+ (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e50, (q15_t)0x83a5, (q15_t)0x1e4a, (q15_t)0x83a3, (q15_t)0x1e44, (q15_t)0x83a2,
+ (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e38, (q15_t)0x839f, (q15_t)0x1e32, (q15_t)0x839d, (q15_t)0x1e2c, (q15_t)0x839c,
+ (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e1f, (q15_t)0x8399, (q15_t)0x1e19, (q15_t)0x8397, (q15_t)0x1e13, (q15_t)0x8396,
+ (q15_t)0x1e0d, (q15_t)0x8394, (q15_t)0x1e07, (q15_t)0x8393, (q15_t)0x1e01, (q15_t)0x8392, (q15_t)0x1dfb, (q15_t)0x8390,
+ (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1dee, (q15_t)0x838d, (q15_t)0x1de8, (q15_t)0x838c, (q15_t)0x1de2, (q15_t)0x838a,
+ (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dd6, (q15_t)0x8387, (q15_t)0x1dd0, (q15_t)0x8386, (q15_t)0x1dca, (q15_t)0x8384,
+ (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dbe, (q15_t)0x8381, (q15_t)0x1db7, (q15_t)0x8380, (q15_t)0x1db1, (q15_t)0x837e,
+ (q15_t)0x1dab, (q15_t)0x837d, (q15_t)0x1da5, (q15_t)0x837c, (q15_t)0x1d9f, (q15_t)0x837a, (q15_t)0x1d99, (q15_t)0x8379,
+ (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d8d, (q15_t)0x8376, (q15_t)0x1d87, (q15_t)0x8374, (q15_t)0x1d80, (q15_t)0x8373,
+ (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d74, (q15_t)0x8370, (q15_t)0x1d6e, (q15_t)0x836f, (q15_t)0x1d68, (q15_t)0x836d,
+ (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d5c, (q15_t)0x836a, (q15_t)0x1d56, (q15_t)0x8369, (q15_t)0x1d50, (q15_t)0x8367,
+ (q15_t)0x1d49, (q15_t)0x8366, (q15_t)0x1d43, (q15_t)0x8364, (q15_t)0x1d3d, (q15_t)0x8363, (q15_t)0x1d37, (q15_t)0x8362,
+ (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d2b, (q15_t)0x835f, (q15_t)0x1d25, (q15_t)0x835d, (q15_t)0x1d1f, (q15_t)0x835c,
+ (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d12, (q15_t)0x8359, (q15_t)0x1d0c, (q15_t)0x8358, (q15_t)0x1d06, (q15_t)0x8356,
+ (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1cfa, (q15_t)0x8353, (q15_t)0x1cf4, (q15_t)0x8352, (q15_t)0x1cee, (q15_t)0x8350,
+ (q15_t)0x1ce8, (q15_t)0x834f, (q15_t)0x1ce1, (q15_t)0x834e, (q15_t)0x1cdb, (q15_t)0x834c, (q15_t)0x1cd5, (q15_t)0x834b,
+ (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cc9, (q15_t)0x8348, (q15_t)0x1cc3, (q15_t)0x8347, (q15_t)0x1cbd, (q15_t)0x8345,
+ (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1cb0, (q15_t)0x8342, (q15_t)0x1caa, (q15_t)0x8341, (q15_t)0x1ca4, (q15_t)0x833f,
+ (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c98, (q15_t)0x833d, (q15_t)0x1c92, (q15_t)0x833b, (q15_t)0x1c8c, (q15_t)0x833a,
+ (q15_t)0x1c86, (q15_t)0x8338, (q15_t)0x1c7f, (q15_t)0x8337, (q15_t)0x1c79, (q15_t)0x8336, (q15_t)0x1c73, (q15_t)0x8334,
+ (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c67, (q15_t)0x8331, (q15_t)0x1c61, (q15_t)0x8330, (q15_t)0x1c5b, (q15_t)0x832f,
+ (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c4e, (q15_t)0x832c, (q15_t)0x1c48, (q15_t)0x832b, (q15_t)0x1c42, (q15_t)0x8329,
+ (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c36, (q15_t)0x8326, (q15_t)0x1c30, (q15_t)0x8325, (q15_t)0x1c2a, (q15_t)0x8324,
+ (q15_t)0x1c24, (q15_t)0x8322, (q15_t)0x1c1d, (q15_t)0x8321, (q15_t)0x1c17, (q15_t)0x831f, (q15_t)0x1c11, (q15_t)0x831e,
+ (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1c05, (q15_t)0x831b, (q15_t)0x1bff, (q15_t)0x831a, (q15_t)0x1bf9, (q15_t)0x8319,
+ (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bec, (q15_t)0x8316, (q15_t)0x1be6, (q15_t)0x8314, (q15_t)0x1be0, (q15_t)0x8313,
+ (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bd4, (q15_t)0x8310, (q15_t)0x1bce, (q15_t)0x830f, (q15_t)0x1bc8, (q15_t)0x830e,
+ (q15_t)0x1bc1, (q15_t)0x830c, (q15_t)0x1bbb, (q15_t)0x830b, (q15_t)0x1bb5, (q15_t)0x830a, (q15_t)0x1baf, (q15_t)0x8308,
+ (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1ba3, (q15_t)0x8305, (q15_t)0x1b9d, (q15_t)0x8304, (q15_t)0x1b96, (q15_t)0x8303,
+ (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b8a, (q15_t)0x8300, (q15_t)0x1b84, (q15_t)0x82ff, (q15_t)0x1b7e, (q15_t)0x82fd,
+ (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b72, (q15_t)0x82fb, (q15_t)0x1b6c, (q15_t)0x82f9, (q15_t)0x1b65, (q15_t)0x82f8,
+ (q15_t)0x1b5f, (q15_t)0x82f7, (q15_t)0x1b59, (q15_t)0x82f5, (q15_t)0x1b53, (q15_t)0x82f4, (q15_t)0x1b4d, (q15_t)0x82f3,
+ (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b41, (q15_t)0x82f0, (q15_t)0x1b3a, (q15_t)0x82ef, (q15_t)0x1b34, (q15_t)0x82ed,
+ (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b28, (q15_t)0x82eb, (q15_t)0x1b22, (q15_t)0x82e9, (q15_t)0x1b1c, (q15_t)0x82e8,
+ (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1b0f, (q15_t)0x82e5, (q15_t)0x1b09, (q15_t)0x82e4, (q15_t)0x1b03, (q15_t)0x82e3,
+ (q15_t)0x1afd, (q15_t)0x82e1, (q15_t)0x1af7, (q15_t)0x82e0, (q15_t)0x1af1, (q15_t)0x82df, (q15_t)0x1aeb, (q15_t)0x82dd,
+ (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1ade, (q15_t)0x82db, (q15_t)0x1ad8, (q15_t)0x82d9, (q15_t)0x1ad2, (q15_t)0x82d8,
+ (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ac6, (q15_t)0x82d5, (q15_t)0x1ac0, (q15_t)0x82d4, (q15_t)0x1ab9, (q15_t)0x82d3,
+ (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1aad, (q15_t)0x82d0, (q15_t)0x1aa7, (q15_t)0x82cf, (q15_t)0x1aa1, (q15_t)0x82ce,
+ (q15_t)0x1a9b, (q15_t)0x82cc, (q15_t)0x1a95, (q15_t)0x82cb, (q15_t)0x1a8e, (q15_t)0x82ca, (q15_t)0x1a88, (q15_t)0x82c8,
+ (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a7c, (q15_t)0x82c6, (q15_t)0x1a76, (q15_t)0x82c4, (q15_t)0x1a70, (q15_t)0x82c3,
+ (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a63, (q15_t)0x82c1, (q15_t)0x1a5d, (q15_t)0x82bf, (q15_t)0x1a57, (q15_t)0x82be,
+ (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a4b, (q15_t)0x82bb, (q15_t)0x1a45, (q15_t)0x82ba, (q15_t)0x1a3e, (q15_t)0x82b9,
+ (q15_t)0x1a38, (q15_t)0x82b7, (q15_t)0x1a32, (q15_t)0x82b6, (q15_t)0x1a2c, (q15_t)0x82b5, (q15_t)0x1a26, (q15_t)0x82b4,
+ (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a1a, (q15_t)0x82b1, (q15_t)0x1a13, (q15_t)0x82b0, (q15_t)0x1a0d, (q15_t)0x82ae,
+ (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x1a01, (q15_t)0x82ac, (q15_t)0x19fb, (q15_t)0x82ab, (q15_t)0x19f5, (q15_t)0x82a9,
+ (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19e8, (q15_t)0x82a7, (q15_t)0x19e2, (q15_t)0x82a6, (q15_t)0x19dc, (q15_t)0x82a4,
+ (q15_t)0x19d6, (q15_t)0x82a3, (q15_t)0x19d0, (q15_t)0x82a2, (q15_t)0x19ca, (q15_t)0x82a0, (q15_t)0x19c3, (q15_t)0x829f,
+ (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19b7, (q15_t)0x829d, (q15_t)0x19b1, (q15_t)0x829b, (q15_t)0x19ab, (q15_t)0x829a,
+ (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x199f, (q15_t)0x8298, (q15_t)0x1998, (q15_t)0x8296, (q15_t)0x1992, (q15_t)0x8295,
+ (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1986, (q15_t)0x8293, (q15_t)0x1980, (q15_t)0x8291, (q15_t)0x197a, (q15_t)0x8290,
+ (q15_t)0x1973, (q15_t)0x828f, (q15_t)0x196d, (q15_t)0x828e, (q15_t)0x1967, (q15_t)0x828c, (q15_t)0x1961, (q15_t)0x828b,
+ (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1955, (q15_t)0x8289, (q15_t)0x194e, (q15_t)0x8287, (q15_t)0x1948, (q15_t)0x8286,
+ (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x193c, (q15_t)0x8284, (q15_t)0x1936, (q15_t)0x8282, (q15_t)0x1930, (q15_t)0x8281,
+ (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1923, (q15_t)0x827f, (q15_t)0x191d, (q15_t)0x827e, (q15_t)0x1917, (q15_t)0x827c,
+ (q15_t)0x1911, (q15_t)0x827b, (q15_t)0x190b, (q15_t)0x827a, (q15_t)0x1905, (q15_t)0x8279, (q15_t)0x18fe, (q15_t)0x8277,
+ (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18f2, (q15_t)0x8275, (q15_t)0x18ec, (q15_t)0x8274, (q15_t)0x18e6, (q15_t)0x8272,
+ (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18d9, (q15_t)0x8270, (q15_t)0x18d3, (q15_t)0x826f, (q15_t)0x18cd, (q15_t)0x826e,
+ (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18c1, (q15_t)0x826b, (q15_t)0x18bb, (q15_t)0x826a, (q15_t)0x18b4, (q15_t)0x8269,
+ (q15_t)0x18ae, (q15_t)0x8268, (q15_t)0x18a8, (q15_t)0x8266, (q15_t)0x18a2, (q15_t)0x8265, (q15_t)0x189c, (q15_t)0x8264,
+ (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x188f, (q15_t)0x8261, (q15_t)0x1889, (q15_t)0x8260, (q15_t)0x1883, (q15_t)0x825f,
+ (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1877, (q15_t)0x825d, (q15_t)0x1871, (q15_t)0x825b, (q15_t)0x186a, (q15_t)0x825a,
+ (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x185e, (q15_t)0x8258, (q15_t)0x1858, (q15_t)0x8257, (q15_t)0x1852, (q15_t)0x8255,
+ (q15_t)0x184c, (q15_t)0x8254, (q15_t)0x1845, (q15_t)0x8253, (q15_t)0x183f, (q15_t)0x8252, (q15_t)0x1839, (q15_t)0x8251,
+ (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x182d, (q15_t)0x824e, (q15_t)0x1827, (q15_t)0x824d, (q15_t)0x1820, (q15_t)0x824c,
+ (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1814, (q15_t)0x824a, (q15_t)0x180e, (q15_t)0x8248, (q15_t)0x1808, (q15_t)0x8247,
+ (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17fb, (q15_t)0x8245, (q15_t)0x17f5, (q15_t)0x8244, (q15_t)0x17ef, (q15_t)0x8243,
+ (q15_t)0x17e9, (q15_t)0x8241, (q15_t)0x17e3, (q15_t)0x8240, (q15_t)0x17dd, (q15_t)0x823f, (q15_t)0x17d6, (q15_t)0x823e,
+ (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17ca, (q15_t)0x823b, (q15_t)0x17c4, (q15_t)0x823a, (q15_t)0x17be, (q15_t)0x8239,
+ (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x17b1, (q15_t)0x8237, (q15_t)0x17ab, (q15_t)0x8236, (q15_t)0x17a5, (q15_t)0x8234,
+ (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1799, (q15_t)0x8232, (q15_t)0x1792, (q15_t)0x8231, (q15_t)0x178c, (q15_t)0x8230,
+ (q15_t)0x1786, (q15_t)0x822f, (q15_t)0x1780, (q15_t)0x822e, (q15_t)0x177a, (q15_t)0x822c, (q15_t)0x1774, (q15_t)0x822b,
+ (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1767, (q15_t)0x8229, (q15_t)0x1761, (q15_t)0x8228, (q15_t)0x175b, (q15_t)0x8227,
+ (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x174e, (q15_t)0x8224, (q15_t)0x1748, (q15_t)0x8223, (q15_t)0x1742, (q15_t)0x8222,
+ (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1736, (q15_t)0x8220, (q15_t)0x1730, (q15_t)0x821f, (q15_t)0x1729, (q15_t)0x821e,
+ (q15_t)0x1723, (q15_t)0x821c, (q15_t)0x171d, (q15_t)0x821b, (q15_t)0x1717, (q15_t)0x821a, (q15_t)0x1711, (q15_t)0x8219,
+ (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x1704, (q15_t)0x8217, (q15_t)0x16fe, (q15_t)0x8216, (q15_t)0x16f8, (q15_t)0x8214,
+ (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16ec, (q15_t)0x8212, (q15_t)0x16e5, (q15_t)0x8211, (q15_t)0x16df, (q15_t)0x8210,
+ (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16d3, (q15_t)0x820e, (q15_t)0x16cd, (q15_t)0x820d, (q15_t)0x16c6, (q15_t)0x820b,
+ (q15_t)0x16c0, (q15_t)0x820a, (q15_t)0x16ba, (q15_t)0x8209, (q15_t)0x16b4, (q15_t)0x8208, (q15_t)0x16ae, (q15_t)0x8207,
+ (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x16a1, (q15_t)0x8205, (q15_t)0x169b, (q15_t)0x8204, (q15_t)0x1695, (q15_t)0x8203,
+ (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1689, (q15_t)0x8200, (q15_t)0x1682, (q15_t)0x81ff, (q15_t)0x167c, (q15_t)0x81fe,
+ (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x1670, (q15_t)0x81fc, (q15_t)0x166a, (q15_t)0x81fb, (q15_t)0x1664, (q15_t)0x81fa,
+ (q15_t)0x165d, (q15_t)0x81f9, (q15_t)0x1657, (q15_t)0x81f8, (q15_t)0x1651, (q15_t)0x81f6, (q15_t)0x164b, (q15_t)0x81f5,
+ (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x163e, (q15_t)0x81f3, (q15_t)0x1638, (q15_t)0x81f2, (q15_t)0x1632, (q15_t)0x81f1,
+ (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1626, (q15_t)0x81ef, (q15_t)0x161f, (q15_t)0x81ee, (q15_t)0x1619, (q15_t)0x81ed,
+ (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x160d, (q15_t)0x81ea, (q15_t)0x1607, (q15_t)0x81e9, (q15_t)0x1601, (q15_t)0x81e8,
+ (q15_t)0x15fa, (q15_t)0x81e7, (q15_t)0x15f4, (q15_t)0x81e6, (q15_t)0x15ee, (q15_t)0x81e5, (q15_t)0x15e8, (q15_t)0x81e4,
+ (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15db, (q15_t)0x81e2, (q15_t)0x15d5, (q15_t)0x81e1, (q15_t)0x15cf, (q15_t)0x81e0,
+ (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15c3, (q15_t)0x81de, (q15_t)0x15bc, (q15_t)0x81dc, (q15_t)0x15b6, (q15_t)0x81db,
+ (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x15aa, (q15_t)0x81d9, (q15_t)0x15a4, (q15_t)0x81d8, (q15_t)0x159d, (q15_t)0x81d7,
+ (q15_t)0x1597, (q15_t)0x81d6, (q15_t)0x1591, (q15_t)0x81d5, (q15_t)0x158b, (q15_t)0x81d4, (q15_t)0x1585, (q15_t)0x81d3,
+ (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1578, (q15_t)0x81d1, (q15_t)0x1572, (q15_t)0x81d0, (q15_t)0x156c, (q15_t)0x81cf,
+ (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x1560, (q15_t)0x81cd, (q15_t)0x1559, (q15_t)0x81cc, (q15_t)0x1553, (q15_t)0x81cb,
+ (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1547, (q15_t)0x81c8, (q15_t)0x1541, (q15_t)0x81c7, (q15_t)0x153a, (q15_t)0x81c6,
+ (q15_t)0x1534, (q15_t)0x81c5, (q15_t)0x152e, (q15_t)0x81c4, (q15_t)0x1528, (q15_t)0x81c3, (q15_t)0x1522, (q15_t)0x81c2,
+ (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1515, (q15_t)0x81c0, (q15_t)0x150f, (q15_t)0x81bf, (q15_t)0x1509, (q15_t)0x81be,
+ (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14fc, (q15_t)0x81bc, (q15_t)0x14f6, (q15_t)0x81bb, (q15_t)0x14f0, (q15_t)0x81ba,
+ (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14e4, (q15_t)0x81b8, (q15_t)0x14dd, (q15_t)0x81b7, (q15_t)0x14d7, (q15_t)0x81b6,
+ (q15_t)0x14d1, (q15_t)0x81b5, (q15_t)0x14cb, (q15_t)0x81b4, (q15_t)0x14c5, (q15_t)0x81b3, (q15_t)0x14be, (q15_t)0x81b2,
+ (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x14b2, (q15_t)0x81b0, (q15_t)0x14ac, (q15_t)0x81af, (q15_t)0x14a6, (q15_t)0x81ae,
+ (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1499, (q15_t)0x81ac, (q15_t)0x1493, (q15_t)0x81ab, (q15_t)0x148d, (q15_t)0x81aa,
+ (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x1480, (q15_t)0x81a8, (q15_t)0x147a, (q15_t)0x81a7, (q15_t)0x1474, (q15_t)0x81a6,
+ (q15_t)0x146e, (q15_t)0x81a5, (q15_t)0x1468, (q15_t)0x81a4, (q15_t)0x1461, (q15_t)0x81a3, (q15_t)0x145b, (q15_t)0x81a2,
+ (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x144f, (q15_t)0x81a0, (q15_t)0x1449, (q15_t)0x819f, (q15_t)0x1442, (q15_t)0x819e,
+ (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1436, (q15_t)0x819c, (q15_t)0x1430, (q15_t)0x819b, (q15_t)0x142a, (q15_t)0x819a,
+ (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x141d, (q15_t)0x8198, (q15_t)0x1417, (q15_t)0x8197, (q15_t)0x1411, (q15_t)0x8196,
+ (q15_t)0x140b, (q15_t)0x8195, (q15_t)0x1404, (q15_t)0x8194, (q15_t)0x13fe, (q15_t)0x8193, (q15_t)0x13f8, (q15_t)0x8192,
+ (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13eb, (q15_t)0x8190, (q15_t)0x13e5, (q15_t)0x818f, (q15_t)0x13df, (q15_t)0x818e,
+ (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13d3, (q15_t)0x818c, (q15_t)0x13cc, (q15_t)0x818b, (q15_t)0x13c6, (q15_t)0x818a,
+ (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13ba, (q15_t)0x8188, (q15_t)0x13b4, (q15_t)0x8187, (q15_t)0x13ad, (q15_t)0x8186,
+ (q15_t)0x13a7, (q15_t)0x8185, (q15_t)0x13a1, (q15_t)0x8184, (q15_t)0x139b, (q15_t)0x8183, (q15_t)0x1395, (q15_t)0x8182,
+ (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1388, (q15_t)0x8180, (q15_t)0x1382, (q15_t)0x817f, (q15_t)0x137c, (q15_t)0x817e,
+ (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x136f, (q15_t)0x817c, (q15_t)0x1369, (q15_t)0x817c, (q15_t)0x1363, (q15_t)0x817b,
+ (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1356, (q15_t)0x8179, (q15_t)0x1350, (q15_t)0x8178, (q15_t)0x134a, (q15_t)0x8177,
+ (q15_t)0x1344, (q15_t)0x8176, (q15_t)0x133e, (q15_t)0x8175, (q15_t)0x1337, (q15_t)0x8174, (q15_t)0x1331, (q15_t)0x8173,
+ (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1325, (q15_t)0x8171, (q15_t)0x131f, (q15_t)0x8170, (q15_t)0x1318, (q15_t)0x816f,
+ (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x130c, (q15_t)0x816d, (q15_t)0x1306, (q15_t)0x816c, (q15_t)0x12ff, (q15_t)0x816c,
+ (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12f3, (q15_t)0x816a, (q15_t)0x12ed, (q15_t)0x8169, (q15_t)0x12e7, (q15_t)0x8168,
+ (q15_t)0x12e0, (q15_t)0x8167, (q15_t)0x12da, (q15_t)0x8166, (q15_t)0x12d4, (q15_t)0x8165, (q15_t)0x12ce, (q15_t)0x8164,
+ (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12c1, (q15_t)0x8162, (q15_t)0x12bb, (q15_t)0x8161, (q15_t)0x12b5, (q15_t)0x8160,
+ (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x12a8, (q15_t)0x815f, (q15_t)0x12a2, (q15_t)0x815e, (q15_t)0x129c, (q15_t)0x815d,
+ (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x1290, (q15_t)0x815b, (q15_t)0x1289, (q15_t)0x815a, (q15_t)0x1283, (q15_t)0x8159,
+ (q15_t)0x127d, (q15_t)0x8158, (q15_t)0x1277, (q15_t)0x8157, (q15_t)0x1271, (q15_t)0x8156, (q15_t)0x126a, (q15_t)0x8155,
+ (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x125e, (q15_t)0x8154, (q15_t)0x1258, (q15_t)0x8153, (q15_t)0x1251, (q15_t)0x8152,
+ (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1245, (q15_t)0x8150, (q15_t)0x123f, (q15_t)0x814f, (q15_t)0x1239, (q15_t)0x814e,
+ (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x122c, (q15_t)0x814c, (q15_t)0x1226, (q15_t)0x814c, (q15_t)0x1220, (q15_t)0x814b,
+ (q15_t)0x1219, (q15_t)0x814a, (q15_t)0x1213, (q15_t)0x8149, (q15_t)0x120d, (q15_t)0x8148, (q15_t)0x1207, (q15_t)0x8147,
+ (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11fa, (q15_t)0x8145, (q15_t)0x11f4, (q15_t)0x8145, (q15_t)0x11ee, (q15_t)0x8144,
+ (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11e1, (q15_t)0x8142, (q15_t)0x11db, (q15_t)0x8141, (q15_t)0x11d5, (q15_t)0x8140,
+ (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11c9, (q15_t)0x813e, (q15_t)0x11c2, (q15_t)0x813d, (q15_t)0x11bc, (q15_t)0x813d,
+ (q15_t)0x11b6, (q15_t)0x813c, (q15_t)0x11b0, (q15_t)0x813b, (q15_t)0x11a9, (q15_t)0x813a, (q15_t)0x11a3, (q15_t)0x8139,
+ (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1197, (q15_t)0x8137, (q15_t)0x1191, (q15_t)0x8137, (q15_t)0x118a, (q15_t)0x8136,
+ (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x117e, (q15_t)0x8134, (q15_t)0x1178, (q15_t)0x8133, (q15_t)0x1171, (q15_t)0x8132,
+ (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1165, (q15_t)0x8131, (q15_t)0x115f, (q15_t)0x8130, (q15_t)0x1159, (q15_t)0x812f,
+ (q15_t)0x1152, (q15_t)0x812e, (q15_t)0x114c, (q15_t)0x812d, (q15_t)0x1146, (q15_t)0x812c, (q15_t)0x1140, (q15_t)0x812b,
+ (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1133, (q15_t)0x812a, (q15_t)0x112d, (q15_t)0x8129, (q15_t)0x1127, (q15_t)0x8128,
+ (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x111a, (q15_t)0x8126, (q15_t)0x1114, (q15_t)0x8126, (q15_t)0x110e, (q15_t)0x8125,
+ (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x1101, (q15_t)0x8123, (q15_t)0x10fb, (q15_t)0x8122, (q15_t)0x10f5, (q15_t)0x8121,
+ (q15_t)0x10ef, (q15_t)0x8121, (q15_t)0x10e8, (q15_t)0x8120, (q15_t)0x10e2, (q15_t)0x811f, (q15_t)0x10dc, (q15_t)0x811e,
+ (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10d0, (q15_t)0x811c, (q15_t)0x10c9, (q15_t)0x811c, (q15_t)0x10c3, (q15_t)0x811b,
+ (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10b7, (q15_t)0x8119, (q15_t)0x10b0, (q15_t)0x8118, (q15_t)0x10aa, (q15_t)0x8117,
+ (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x109e, (q15_t)0x8116, (q15_t)0x1098, (q15_t)0x8115, (q15_t)0x1091, (q15_t)0x8114,
+ (q15_t)0x108b, (q15_t)0x8113, (q15_t)0x1085, (q15_t)0x8113, (q15_t)0x107f, (q15_t)0x8112, (q15_t)0x1078, (q15_t)0x8111,
+ (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x106c, (q15_t)0x810f, (q15_t)0x1066, (q15_t)0x810f, (q15_t)0x105f, (q15_t)0x810e,
+ (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1053, (q15_t)0x810c, (q15_t)0x104d, (q15_t)0x810b, (q15_t)0x1047, (q15_t)0x810b,
+ (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x103a, (q15_t)0x8109, (q15_t)0x1034, (q15_t)0x8108, (q15_t)0x102e, (q15_t)0x8107,
+ (q15_t)0x1027, (q15_t)0x8107, (q15_t)0x1021, (q15_t)0x8106, (q15_t)0x101b, (q15_t)0x8105, (q15_t)0x1015, (q15_t)0x8104,
+ (q15_t)0x100e, (q15_t)0x8103, (q15_t)0x1008, (q15_t)0x8103, (q15_t)0x1002, (q15_t)0x8102, (q15_t)0xffc, (q15_t)0x8101,
+ (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfef, (q15_t)0x80ff, (q15_t)0xfe9, (q15_t)0x80ff, (q15_t)0xfe3, (q15_t)0x80fe,
+ (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfd6, (q15_t)0x80fc, (q15_t)0xfd0, (q15_t)0x80fc, (q15_t)0xfca, (q15_t)0x80fb,
+ (q15_t)0xfc4, (q15_t)0x80fa, (q15_t)0xfbd, (q15_t)0x80f9, (q15_t)0xfb7, (q15_t)0x80f8, (q15_t)0xfb1, (q15_t)0x80f8,
+ (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xfa4, (q15_t)0x80f6, (q15_t)0xf9e, (q15_t)0x80f5, (q15_t)0xf98, (q15_t)0x80f5,
+ (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf8b, (q15_t)0x80f3, (q15_t)0xf85, (q15_t)0x80f2, (q15_t)0xf7f, (q15_t)0x80f2,
+ (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf73, (q15_t)0x80f0, (q15_t)0xf6c, (q15_t)0x80ef, (q15_t)0xf66, (q15_t)0x80ef,
+ (q15_t)0xf60, (q15_t)0x80ee, (q15_t)0xf5a, (q15_t)0x80ed, (q15_t)0xf53, (q15_t)0x80ec, (q15_t)0xf4d, (q15_t)0x80ec,
+ (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf41, (q15_t)0x80ea, (q15_t)0xf3a, (q15_t)0x80e9, (q15_t)0xf34, (q15_t)0x80e9,
+ (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf28, (q15_t)0x80e7, (q15_t)0xf21, (q15_t)0x80e6, (q15_t)0xf1b, (q15_t)0x80e6,
+ (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xf0f, (q15_t)0x80e4, (q15_t)0xf08, (q15_t)0x80e3, (q15_t)0xf02, (q15_t)0x80e3,
+ (q15_t)0xefc, (q15_t)0x80e2, (q15_t)0xef6, (q15_t)0x80e1, (q15_t)0xef0, (q15_t)0x80e0, (q15_t)0xee9, (q15_t)0x80e0,
+ (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xedd, (q15_t)0x80de, (q15_t)0xed7, (q15_t)0x80dd, (q15_t)0xed0, (q15_t)0x80dd,
+ (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xec4, (q15_t)0x80db, (q15_t)0xebe, (q15_t)0x80db, (q15_t)0xeb7, (q15_t)0x80da,
+ (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xeab, (q15_t)0x80d8, (q15_t)0xea5, (q15_t)0x80d8, (q15_t)0xe9e, (q15_t)0x80d7,
+ (q15_t)0xe98, (q15_t)0x80d6, (q15_t)0xe92, (q15_t)0x80d6, (q15_t)0xe8c, (q15_t)0x80d5, (q15_t)0xe85, (q15_t)0x80d4,
+ (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe79, (q15_t)0x80d3, (q15_t)0xe73, (q15_t)0x80d2, (q15_t)0xe6c, (q15_t)0x80d1,
+ (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe60, (q15_t)0x80d0, (q15_t)0xe5a, (q15_t)0x80cf, (q15_t)0xe53, (q15_t)0x80ce,
+ (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe47, (q15_t)0x80cd, (q15_t)0xe41, (q15_t)0x80cc, (q15_t)0xe3a, (q15_t)0x80cc,
+ (q15_t)0xe34, (q15_t)0x80cb, (q15_t)0xe2e, (q15_t)0x80ca, (q15_t)0xe28, (q15_t)0x80ca, (q15_t)0xe22, (q15_t)0x80c9,
+ (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe15, (q15_t)0x80c7, (q15_t)0xe0f, (q15_t)0x80c7, (q15_t)0xe09, (q15_t)0x80c6,
+ (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xdfc, (q15_t)0x80c5, (q15_t)0xdf6, (q15_t)0x80c4, (q15_t)0xdf0, (q15_t)0x80c3,
+ (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xde3, (q15_t)0x80c2, (q15_t)0xddd, (q15_t)0x80c1, (q15_t)0xdd7, (q15_t)0x80c1,
+ (q15_t)0xdd0, (q15_t)0x80c0, (q15_t)0xdca, (q15_t)0x80bf, (q15_t)0xdc4, (q15_t)0x80bf, (q15_t)0xdbe, (q15_t)0x80be,
+ (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xdb1, (q15_t)0x80bd, (q15_t)0xdab, (q15_t)0x80bc, (q15_t)0xda5, (q15_t)0x80bb,
+ (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd98, (q15_t)0x80ba, (q15_t)0xd92, (q15_t)0x80b9, (q15_t)0xd8c, (q15_t)0x80b9,
+ (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd7f, (q15_t)0x80b7, (q15_t)0xd79, (q15_t)0x80b7, (q15_t)0xd73, (q15_t)0x80b6,
+ (q15_t)0xd6c, (q15_t)0x80b5, (q15_t)0xd66, (q15_t)0x80b5, (q15_t)0xd60, (q15_t)0x80b4, (q15_t)0xd5a, (q15_t)0x80b3,
+ (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd4d, (q15_t)0x80b2, (q15_t)0xd47, (q15_t)0x80b1, (q15_t)0xd41, (q15_t)0x80b1,
+ (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd34, (q15_t)0x80af, (q15_t)0xd2e, (q15_t)0x80af, (q15_t)0xd28, (q15_t)0x80ae,
+ (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd1b, (q15_t)0x80ad, (q15_t)0xd15, (q15_t)0x80ac, (q15_t)0xd0f, (q15_t)0x80ab,
+ (q15_t)0xd08, (q15_t)0x80ab, (q15_t)0xd02, (q15_t)0x80aa, (q15_t)0xcfc, (q15_t)0x80aa, (q15_t)0xcf6, (q15_t)0x80a9,
+ (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xce9, (q15_t)0x80a8, (q15_t)0xce3, (q15_t)0x80a7, (q15_t)0xcdd, (q15_t)0x80a6,
+ (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcd0, (q15_t)0x80a5, (q15_t)0xcca, (q15_t)0x80a5, (q15_t)0xcc4, (q15_t)0x80a4,
+ (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xcb7, (q15_t)0x80a3, (q15_t)0xcb1, (q15_t)0x80a2, (q15_t)0xcab, (q15_t)0x80a1,
+ (q15_t)0xca4, (q15_t)0x80a1, (q15_t)0xc9e, (q15_t)0x80a0, (q15_t)0xc98, (q15_t)0x80a0, (q15_t)0xc92, (q15_t)0x809f,
+ (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc85, (q15_t)0x809e, (q15_t)0xc7f, (q15_t)0x809d, (q15_t)0xc79, (q15_t)0x809c,
+ (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc6c, (q15_t)0x809b, (q15_t)0xc66, (q15_t)0x809b, (q15_t)0xc60, (q15_t)0x809a,
+ (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc53, (q15_t)0x8099, (q15_t)0xc4d, (q15_t)0x8098, (q15_t)0xc47, (q15_t)0x8098,
+ (q15_t)0xc40, (q15_t)0x8097, (q15_t)0xc3a, (q15_t)0x8096, (q15_t)0xc34, (q15_t)0x8096, (q15_t)0xc2e, (q15_t)0x8095,
+ (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc21, (q15_t)0x8094, (q15_t)0xc1b, (q15_t)0x8093, (q15_t)0xc14, (q15_t)0x8093,
+ (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xc08, (q15_t)0x8092, (q15_t)0xc02, (q15_t)0x8091, (q15_t)0xbfb, (q15_t)0x8090,
+ (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbef, (q15_t)0x808f, (q15_t)0xbe9, (q15_t)0x808f, (q15_t)0xbe2, (q15_t)0x808e,
+ (q15_t)0xbdc, (q15_t)0x808e, (q15_t)0xbd6, (q15_t)0x808d, (q15_t)0xbd0, (q15_t)0x808c, (q15_t)0xbc9, (q15_t)0x808c,
+ (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbbd, (q15_t)0x808b, (q15_t)0xbb7, (q15_t)0x808a, (q15_t)0xbb0, (q15_t)0x8089,
+ (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xba4, (q15_t)0x8088, (q15_t)0xb9e, (q15_t)0x8088, (q15_t)0xb97, (q15_t)0x8087,
+ (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb8b, (q15_t)0x8086, (q15_t)0xb85, (q15_t)0x8085, (q15_t)0xb7e, (q15_t)0x8085,
+ (q15_t)0xb78, (q15_t)0x8084, (q15_t)0xb72, (q15_t)0x8084, (q15_t)0xb6c, (q15_t)0x8083, (q15_t)0xb65, (q15_t)0x8083,
+ (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb59, (q15_t)0x8082, (q15_t)0xb53, (q15_t)0x8081, (q15_t)0xb4c, (q15_t)0x8080,
+ (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb40, (q15_t)0x807f, (q15_t)0xb3a, (q15_t)0x807f, (q15_t)0xb33, (q15_t)0x807e,
+ (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb27, (q15_t)0x807d, (q15_t)0xb20, (q15_t)0x807d, (q15_t)0xb1a, (q15_t)0x807c,
+ (q15_t)0xb14, (q15_t)0x807b, (q15_t)0xb0e, (q15_t)0x807b, (q15_t)0xb07, (q15_t)0x807a, (q15_t)0xb01, (q15_t)0x807a,
+ (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xaf5, (q15_t)0x8079, (q15_t)0xaee, (q15_t)0x8078, (q15_t)0xae8, (q15_t)0x8078,
+ (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xadc, (q15_t)0x8077, (q15_t)0xad5, (q15_t)0x8076, (q15_t)0xacf, (q15_t)0x8076,
+ (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xac3, (q15_t)0x8075, (q15_t)0xabc, (q15_t)0x8074, (q15_t)0xab6, (q15_t)0x8073,
+ (q15_t)0xab0, (q15_t)0x8073, (q15_t)0xaaa, (q15_t)0x8072, (q15_t)0xaa3, (q15_t)0x8072, (q15_t)0xa9d, (q15_t)0x8071,
+ (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa90, (q15_t)0x8070, (q15_t)0xa8a, (q15_t)0x8070, (q15_t)0xa84, (q15_t)0x806f,
+ (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa77, (q15_t)0x806e, (q15_t)0xa71, (q15_t)0x806e, (q15_t)0xa6b, (q15_t)0x806d,
+ (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa5e, (q15_t)0x806c, (q15_t)0xa58, (q15_t)0x806c, (q15_t)0xa52, (q15_t)0x806b,
+ (q15_t)0xa4c, (q15_t)0x806b, (q15_t)0xa45, (q15_t)0x806a, (q15_t)0xa3f, (q15_t)0x806a, (q15_t)0xa39, (q15_t)0x8069,
+ (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa2c, (q15_t)0x8068, (q15_t)0xa26, (q15_t)0x8068, (q15_t)0xa20, (q15_t)0x8067,
+ (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa13, (q15_t)0x8066, (q15_t)0xa0d, (q15_t)0x8066, (q15_t)0xa07, (q15_t)0x8065,
+ (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9fa, (q15_t)0x8064, (q15_t)0x9f4, (q15_t)0x8064, (q15_t)0x9ee, (q15_t)0x8063,
+ (q15_t)0x9e7, (q15_t)0x8063, (q15_t)0x9e1, (q15_t)0x8062, (q15_t)0x9db, (q15_t)0x8062, (q15_t)0x9d5, (q15_t)0x8061,
+ (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9c8, (q15_t)0x8060, (q15_t)0x9c2, (q15_t)0x8060, (q15_t)0x9bc, (q15_t)0x805f,
+ (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x9af, (q15_t)0x805e, (q15_t)0x9a9, (q15_t)0x805e, (q15_t)0x9a2, (q15_t)0x805d,
+ (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x996, (q15_t)0x805d, (q15_t)0x990, (q15_t)0x805c, (q15_t)0x989, (q15_t)0x805c,
+ (q15_t)0x983, (q15_t)0x805b, (q15_t)0x97d, (q15_t)0x805b, (q15_t)0x977, (q15_t)0x805a, (q15_t)0x970, (q15_t)0x805a,
+ (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x964, (q15_t)0x8059, (q15_t)0x95e, (q15_t)0x8058, (q15_t)0x957, (q15_t)0x8058,
+ (q15_t)0x951, (q15_t)0x8057, (q15_t)0x94b, (q15_t)0x8057, (q15_t)0x944, (q15_t)0x8057, (q15_t)0x93e, (q15_t)0x8056,
+ (q15_t)0x938, (q15_t)0x8056, (q15_t)0x932, (q15_t)0x8055, (q15_t)0x92b, (q15_t)0x8055, (q15_t)0x925, (q15_t)0x8054,
+ (q15_t)0x91f, (q15_t)0x8054, (q15_t)0x919, (q15_t)0x8053, (q15_t)0x912, (q15_t)0x8053, (q15_t)0x90c, (q15_t)0x8052,
+ (q15_t)0x906, (q15_t)0x8052, (q15_t)0x900, (q15_t)0x8052, (q15_t)0x8f9, (q15_t)0x8051, (q15_t)0x8f3, (q15_t)0x8051,
+ (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8e6, (q15_t)0x8050, (q15_t)0x8e0, (q15_t)0x804f, (q15_t)0x8da, (q15_t)0x804f,
+ (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8cd, (q15_t)0x804e, (q15_t)0x8c7, (q15_t)0x804e, (q15_t)0x8c1, (q15_t)0x804d,
+ (q15_t)0x8bb, (q15_t)0x804d, (q15_t)0x8b4, (q15_t)0x804c, (q15_t)0x8ae, (q15_t)0x804c, (q15_t)0x8a8, (q15_t)0x804c,
+ (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x89b, (q15_t)0x804b, (q15_t)0x895, (q15_t)0x804a, (q15_t)0x88f, (q15_t)0x804a,
+ (q15_t)0x888, (q15_t)0x8049, (q15_t)0x882, (q15_t)0x8049, (q15_t)0x87c, (q15_t)0x8049, (q15_t)0x876, (q15_t)0x8048,
+ (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x869, (q15_t)0x8047, (q15_t)0x863, (q15_t)0x8047, (q15_t)0x85d, (q15_t)0x8047,
+ (q15_t)0x856, (q15_t)0x8046, (q15_t)0x850, (q15_t)0x8046, (q15_t)0x84a, (q15_t)0x8045, (q15_t)0x843, (q15_t)0x8045,
+ (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x837, (q15_t)0x8044, (q15_t)0x831, (q15_t)0x8044, (q15_t)0x82a, (q15_t)0x8043,
+ (q15_t)0x824, (q15_t)0x8043, (q15_t)0x81e, (q15_t)0x8042, (q15_t)0x818, (q15_t)0x8042, (q15_t)0x811, (q15_t)0x8042,
+ (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x805, (q15_t)0x8041, (q15_t)0x7fe, (q15_t)0x8040, (q15_t)0x7f8, (q15_t)0x8040,
+ (q15_t)0x7f2, (q15_t)0x8040, (q15_t)0x7ec, (q15_t)0x803f, (q15_t)0x7e5, (q15_t)0x803f, (q15_t)0x7df, (q15_t)0x803f,
+ (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7d3, (q15_t)0x803e, (q15_t)0x7cc, (q15_t)0x803d, (q15_t)0x7c6, (q15_t)0x803d,
+ (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7ba, (q15_t)0x803c, (q15_t)0x7b3, (q15_t)0x803c, (q15_t)0x7ad, (q15_t)0x803b,
+ (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x7a0, (q15_t)0x803b, (q15_t)0x79a, (q15_t)0x803a, (q15_t)0x794, (q15_t)0x803a,
+ (q15_t)0x78e, (q15_t)0x803a, (q15_t)0x787, (q15_t)0x8039, (q15_t)0x781, (q15_t)0x8039, (q15_t)0x77b, (q15_t)0x8039,
+ (q15_t)0x775, (q15_t)0x8038, (q15_t)0x76e, (q15_t)0x8038, (q15_t)0x768, (q15_t)0x8037, (q15_t)0x762, (q15_t)0x8037,
+ (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x755, (q15_t)0x8036, (q15_t)0x74f, (q15_t)0x8036, (q15_t)0x749, (q15_t)0x8036,
+ (q15_t)0x742, (q15_t)0x8035, (q15_t)0x73c, (q15_t)0x8035, (q15_t)0x736, (q15_t)0x8035, (q15_t)0x730, (q15_t)0x8034,
+ (q15_t)0x729, (q15_t)0x8034, (q15_t)0x723, (q15_t)0x8033, (q15_t)0x71d, (q15_t)0x8033, (q15_t)0x716, (q15_t)0x8033,
+ (q15_t)0x710, (q15_t)0x8032, (q15_t)0x70a, (q15_t)0x8032, (q15_t)0x704, (q15_t)0x8032, (q15_t)0x6fd, (q15_t)0x8031,
+ (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6f1, (q15_t)0x8031, (q15_t)0x6ea, (q15_t)0x8030, (q15_t)0x6e4, (q15_t)0x8030,
+ (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6d8, (q15_t)0x802f, (q15_t)0x6d1, (q15_t)0x802f, (q15_t)0x6cb, (q15_t)0x802f,
+ (q15_t)0x6c5, (q15_t)0x802e, (q15_t)0x6bf, (q15_t)0x802e, (q15_t)0x6b8, (q15_t)0x802e, (q15_t)0x6b2, (q15_t)0x802d,
+ (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x6a5, (q15_t)0x802d, (q15_t)0x69f, (q15_t)0x802c, (q15_t)0x699, (q15_t)0x802c,
+ (q15_t)0x693, (q15_t)0x802c, (q15_t)0x68c, (q15_t)0x802b, (q15_t)0x686, (q15_t)0x802b, (q15_t)0x680, (q15_t)0x802b,
+ (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x673, (q15_t)0x802a, (q15_t)0x66d, (q15_t)0x802a, (q15_t)0x667, (q15_t)0x802a,
+ (q15_t)0x660, (q15_t)0x8029, (q15_t)0x65a, (q15_t)0x8029, (q15_t)0x654, (q15_t)0x8029, (q15_t)0x64e, (q15_t)0x8028,
+ (q15_t)0x647, (q15_t)0x8028, (q15_t)0x641, (q15_t)0x8028, (q15_t)0x63b, (q15_t)0x8027, (q15_t)0x635, (q15_t)0x8027,
+ (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x628, (q15_t)0x8026, (q15_t)0x622, (q15_t)0x8026, (q15_t)0x61b, (q15_t)0x8026,
+ (q15_t)0x615, (q15_t)0x8026, (q15_t)0x60f, (q15_t)0x8025, (q15_t)0x609, (q15_t)0x8025, (q15_t)0x602, (q15_t)0x8025,
+ (q15_t)0x5fc, (q15_t)0x8024, (q15_t)0x5f6, (q15_t)0x8024, (q15_t)0x5ef, (q15_t)0x8024, (q15_t)0x5e9, (q15_t)0x8023,
+ (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5dd, (q15_t)0x8023, (q15_t)0x5d6, (q15_t)0x8023, (q15_t)0x5d0, (q15_t)0x8022,
+ (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5c4, (q15_t)0x8022, (q15_t)0x5bd, (q15_t)0x8021, (q15_t)0x5b7, (q15_t)0x8021,
+ (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x5aa, (q15_t)0x8021, (q15_t)0x5a4, (q15_t)0x8020, (q15_t)0x59e, (q15_t)0x8020,
+ (q15_t)0x598, (q15_t)0x8020, (q15_t)0x591, (q15_t)0x8020, (q15_t)0x58b, (q15_t)0x801f, (q15_t)0x585, (q15_t)0x801f,
+ (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x578, (q15_t)0x801e, (q15_t)0x572, (q15_t)0x801e, (q15_t)0x56c, (q15_t)0x801e,
+ (q15_t)0x565, (q15_t)0x801e, (q15_t)0x55f, (q15_t)0x801d, (q15_t)0x559, (q15_t)0x801d, (q15_t)0x553, (q15_t)0x801d,
+ (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x546, (q15_t)0x801c, (q15_t)0x540, (q15_t)0x801c, (q15_t)0x539, (q15_t)0x801c,
+ (q15_t)0x533, (q15_t)0x801c, (q15_t)0x52d, (q15_t)0x801b, (q15_t)0x527, (q15_t)0x801b, (q15_t)0x520, (q15_t)0x801b,
+ (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x514, (q15_t)0x801a, (q15_t)0x50d, (q15_t)0x801a, (q15_t)0x507, (q15_t)0x801a,
+ (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4fb, (q15_t)0x8019, (q15_t)0x4f4, (q15_t)0x8019, (q15_t)0x4ee, (q15_t)0x8019,
+ (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4e2, (q15_t)0x8018, (q15_t)0x4db, (q15_t)0x8018, (q15_t)0x4d5, (q15_t)0x8018,
+ (q15_t)0x4cf, (q15_t)0x8018, (q15_t)0x4c8, (q15_t)0x8017, (q15_t)0x4c2, (q15_t)0x8017, (q15_t)0x4bc, (q15_t)0x8017,
+ (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x4af, (q15_t)0x8016, (q15_t)0x4a9, (q15_t)0x8016, (q15_t)0x4a3, (q15_t)0x8016,
+ (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x496, (q15_t)0x8016, (q15_t)0x490, (q15_t)0x8015, (q15_t)0x48a, (q15_t)0x8015,
+ (q15_t)0x483, (q15_t)0x8015, (q15_t)0x47d, (q15_t)0x8015, (q15_t)0x477, (q15_t)0x8014, (q15_t)0x471, (q15_t)0x8014,
+ (q15_t)0x46a, (q15_t)0x8014, (q15_t)0x464, (q15_t)0x8014, (q15_t)0x45e, (q15_t)0x8014, (q15_t)0x457, (q15_t)0x8013,
+ (q15_t)0x451, (q15_t)0x8013, (q15_t)0x44b, (q15_t)0x8013, (q15_t)0x445, (q15_t)0x8013, (q15_t)0x43e, (q15_t)0x8013,
+ (q15_t)0x438, (q15_t)0x8012, (q15_t)0x432, (q15_t)0x8012, (q15_t)0x42b, (q15_t)0x8012, (q15_t)0x425, (q15_t)0x8012,
+ (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x419, (q15_t)0x8011, (q15_t)0x412, (q15_t)0x8011, (q15_t)0x40c, (q15_t)0x8011,
+ (q15_t)0x406, (q15_t)0x8011, (q15_t)0x3ff, (q15_t)0x8011, (q15_t)0x3f9, (q15_t)0x8010, (q15_t)0x3f3, (q15_t)0x8010,
+ (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3e6, (q15_t)0x8010, (q15_t)0x3e0, (q15_t)0x8010, (q15_t)0x3da, (q15_t)0x800f,
+ (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3cd, (q15_t)0x800f, (q15_t)0x3c7, (q15_t)0x800f, (q15_t)0x3c1, (q15_t)0x800f,
+ (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3b4, (q15_t)0x800e, (q15_t)0x3ae, (q15_t)0x800e, (q15_t)0x3a8, (q15_t)0x800e,
+ (q15_t)0x3a1, (q15_t)0x800e, (q15_t)0x39b, (q15_t)0x800e, (q15_t)0x395, (q15_t)0x800d, (q15_t)0x38e, (q15_t)0x800d,
+ (q15_t)0x388, (q15_t)0x800d, (q15_t)0x382, (q15_t)0x800d, (q15_t)0x37c, (q15_t)0x800d, (q15_t)0x375, (q15_t)0x800c,
+ (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x369, (q15_t)0x800c, (q15_t)0x362, (q15_t)0x800c, (q15_t)0x35c, (q15_t)0x800c,
+ (q15_t)0x356, (q15_t)0x800c, (q15_t)0x350, (q15_t)0x800b, (q15_t)0x349, (q15_t)0x800b, (q15_t)0x343, (q15_t)0x800b,
+ (q15_t)0x33d, (q15_t)0x800b, (q15_t)0x337, (q15_t)0x800b, (q15_t)0x330, (q15_t)0x800b, (q15_t)0x32a, (q15_t)0x800b,
+ (q15_t)0x324, (q15_t)0x800a, (q15_t)0x31d, (q15_t)0x800a, (q15_t)0x317, (q15_t)0x800a, (q15_t)0x311, (q15_t)0x800a,
+ (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x304, (q15_t)0x800a, (q15_t)0x2fe, (q15_t)0x8009, (q15_t)0x2f8, (q15_t)0x8009,
+ (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2eb, (q15_t)0x8009, (q15_t)0x2e5, (q15_t)0x8009, (q15_t)0x2df, (q15_t)0x8009,
+ (q15_t)0x2d8, (q15_t)0x8009, (q15_t)0x2d2, (q15_t)0x8008, (q15_t)0x2cc, (q15_t)0x8008, (q15_t)0x2c5, (q15_t)0x8008,
+ (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2b9, (q15_t)0x8008, (q15_t)0x2b3, (q15_t)0x8008, (q15_t)0x2ac, (q15_t)0x8008,
+ (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x2a0, (q15_t)0x8007, (q15_t)0x299, (q15_t)0x8007, (q15_t)0x293, (q15_t)0x8007,
+ (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x287, (q15_t)0x8007, (q15_t)0x280, (q15_t)0x8007, (q15_t)0x27a, (q15_t)0x8007,
+ (q15_t)0x274, (q15_t)0x8007, (q15_t)0x26d, (q15_t)0x8006, (q15_t)0x267, (q15_t)0x8006, (q15_t)0x261, (q15_t)0x8006,
+ (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x254, (q15_t)0x8006, (q15_t)0x24e, (q15_t)0x8006, (q15_t)0x248, (q15_t)0x8006,
+ (q15_t)0x242, (q15_t)0x8006, (q15_t)0x23b, (q15_t)0x8005, (q15_t)0x235, (q15_t)0x8005, (q15_t)0x22f, (q15_t)0x8005,
+ (q15_t)0x228, (q15_t)0x8005, (q15_t)0x222, (q15_t)0x8005, (q15_t)0x21c, (q15_t)0x8005, (q15_t)0x216, (q15_t)0x8005,
+ (q15_t)0x20f, (q15_t)0x8005, (q15_t)0x209, (q15_t)0x8005, (q15_t)0x203, (q15_t)0x8005, (q15_t)0x1fc, (q15_t)0x8004,
+ (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1f0, (q15_t)0x8004, (q15_t)0x1ea, (q15_t)0x8004, (q15_t)0x1e3, (q15_t)0x8004,
+ (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1d7, (q15_t)0x8004, (q15_t)0x1d0, (q15_t)0x8004, (q15_t)0x1ca, (q15_t)0x8004,
+ (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1be, (q15_t)0x8004, (q15_t)0x1b7, (q15_t)0x8003, (q15_t)0x1b1, (q15_t)0x8003,
+ (q15_t)0x1ab, (q15_t)0x8003, (q15_t)0x1a4, (q15_t)0x8003, (q15_t)0x19e, (q15_t)0x8003, (q15_t)0x198, (q15_t)0x8003,
+ (q15_t)0x192, (q15_t)0x8003, (q15_t)0x18b, (q15_t)0x8003, (q15_t)0x185, (q15_t)0x8003, (q15_t)0x17f, (q15_t)0x8003,
+ (q15_t)0x178, (q15_t)0x8003, (q15_t)0x172, (q15_t)0x8003, (q15_t)0x16c, (q15_t)0x8003, (q15_t)0x166, (q15_t)0x8002,
+ (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x159, (q15_t)0x8002, (q15_t)0x153, (q15_t)0x8002, (q15_t)0x14d, (q15_t)0x8002,
+ (q15_t)0x146, (q15_t)0x8002, (q15_t)0x140, (q15_t)0x8002, (q15_t)0x13a, (q15_t)0x8002, (q15_t)0x133, (q15_t)0x8002,
+ (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x127, (q15_t)0x8002, (q15_t)0x121, (q15_t)0x8002, (q15_t)0x11a, (q15_t)0x8002,
+ (q15_t)0x114, (q15_t)0x8002, (q15_t)0x10e, (q15_t)0x8002, (q15_t)0x107, (q15_t)0x8002, (q15_t)0x101, (q15_t)0x8002,
+ (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xf5, (q15_t)0x8001, (q15_t)0xee, (q15_t)0x8001, (q15_t)0xe8, (q15_t)0x8001,
+ (q15_t)0xe2, (q15_t)0x8001, (q15_t)0xdb, (q15_t)0x8001, (q15_t)0xd5, (q15_t)0x8001, (q15_t)0xcf, (q15_t)0x8001,
+ (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xc2, (q15_t)0x8001, (q15_t)0xbc, (q15_t)0x8001, (q15_t)0xb6, (q15_t)0x8001,
+ (q15_t)0xaf, (q15_t)0x8001, (q15_t)0xa9, (q15_t)0x8001, (q15_t)0xa3, (q15_t)0x8001, (q15_t)0x9d, (q15_t)0x8001,
+ (q15_t)0x96, (q15_t)0x8001, (q15_t)0x90, (q15_t)0x8001, (q15_t)0x8a, (q15_t)0x8001, (q15_t)0x83, (q15_t)0x8001,
+ (q15_t)0x7d, (q15_t)0x8001, (q15_t)0x77, (q15_t)0x8001, (q15_t)0x71, (q15_t)0x8001, (q15_t)0x6a, (q15_t)0x8001,
+ (q15_t)0x64, (q15_t)0x8001, (q15_t)0x5e, (q15_t)0x8001, (q15_t)0x57, (q15_t)0x8001, (q15_t)0x51, (q15_t)0x8001,
+ (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x45, (q15_t)0x8001, (q15_t)0x3e, (q15_t)0x8001, (q15_t)0x38, (q15_t)0x8001,
+ (q15_t)0x32, (q15_t)0x8001, (q15_t)0x2b, (q15_t)0x8001, (q15_t)0x25, (q15_t)0x8001, (q15_t)0x1f, (q15_t)0x8001,
+ (q15_t)0x19, (q15_t)0x8001, (q15_t)0x12, (q15_t)0x8001, (q15_t)0xc, (q15_t)0x8001, (q15_t)0x6, (q15_t)0x8001
+};
+
+ const q15_t __ALIGNED(4) cos_factorsQ15_8192[8192] = {
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+ (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe,
+ (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe,
+ (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd,
+ (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc,
+ (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc,
+ (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb,
+ (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa,
+ (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9,
+ (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8,
+ (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7,
+ (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6,
+ (q15_t)0x7ff6, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4,
+ (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3,
+ (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2,
+ (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff0, (q15_t)0x7ff0,
+ (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef,
+ (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fed,
+ (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7feb,
+ (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fe9,
+ (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8,
+ (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6,
+ (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4,
+ (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe1,
+ (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdf,
+ (q15_t)0x7fdf, (q15_t)0x7fdf, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fdd, (q15_t)0x7fdd,
+ (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb,
+ (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd8, (q15_t)0x7fd8,
+ (q15_t)0x7fd8, (q15_t)0x7fd8, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd6, (q15_t)0x7fd6,
+ (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd3, (q15_t)0x7fd3,
+ (q15_t)0x7fd3, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd0,
+ (q15_t)0x7fd0, (q15_t)0x7fd0, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fce, (q15_t)0x7fce, (q15_t)0x7fce,
+ (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcb, (q15_t)0x7fcb,
+ (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc8, (q15_t)0x7fc8,
+ (q15_t)0x7fc8, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc6, (q15_t)0x7fc5, (q15_t)0x7fc5,
+ (q15_t)0x7fc5, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc3, (q15_t)0x7fc3, (q15_t)0x7fc2, (q15_t)0x7fc2,
+ (q15_t)0x7fc2, (q15_t)0x7fc1, (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fbf, (q15_t)0x7fbf,
+ (q15_t)0x7fbf, (q15_t)0x7fbe, (q15_t)0x7fbe, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbc, (q15_t)0x7fbc,
+ (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fba, (q15_t)0x7fba, (q15_t)0x7fb9, (q15_t)0x7fb9, (q15_t)0x7fb8,
+ (q15_t)0x7fb8, (q15_t)0x7fb8, (q15_t)0x7fb7, (q15_t)0x7fb7, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb5,
+ (q15_t)0x7fb5, (q15_t)0x7fb4, (q15_t)0x7fb4, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb2, (q15_t)0x7fb2,
+ (q15_t)0x7fb1, (q15_t)0x7fb1, (q15_t)0x7fb0, (q15_t)0x7fb0, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7fae,
+ (q15_t)0x7fae, (q15_t)0x7fad, (q15_t)0x7fad, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fab, (q15_t)0x7fab,
+ (q15_t)0x7faa, (q15_t)0x7faa, (q15_t)0x7fa9, (q15_t)0x7fa9, (q15_t)0x7fa8, (q15_t)0x7fa8, (q15_t)0x7fa7, (q15_t)0x7fa7,
+ (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa5, (q15_t)0x7fa5, (q15_t)0x7fa4, (q15_t)0x7fa4, (q15_t)0x7fa3,
+ (q15_t)0x7fa3, (q15_t)0x7fa2, (q15_t)0x7fa2, (q15_t)0x7fa1, (q15_t)0x7fa1, (q15_t)0x7fa0, (q15_t)0x7fa0, (q15_t)0x7f9f,
+ (q15_t)0x7f9f, (q15_t)0x7f9e, (q15_t)0x7f9e, (q15_t)0x7f9d, (q15_t)0x7f9d, (q15_t)0x7f9c, (q15_t)0x7f9c, (q15_t)0x7f9c,
+ (q15_t)0x7f9b, (q15_t)0x7f9b, (q15_t)0x7f9a, (q15_t)0x7f9a, (q15_t)0x7f99, (q15_t)0x7f99, (q15_t)0x7f98, (q15_t)0x7f98,
+ (q15_t)0x7f97, (q15_t)0x7f97, (q15_t)0x7f96, (q15_t)0x7f96, (q15_t)0x7f95, (q15_t)0x7f95, (q15_t)0x7f94, (q15_t)0x7f94,
+ (q15_t)0x7f93, (q15_t)0x7f92, (q15_t)0x7f92, (q15_t)0x7f91, (q15_t)0x7f91, (q15_t)0x7f90, (q15_t)0x7f90, (q15_t)0x7f8f,
+ (q15_t)0x7f8f, (q15_t)0x7f8e, (q15_t)0x7f8e, (q15_t)0x7f8d, (q15_t)0x7f8d, (q15_t)0x7f8c, (q15_t)0x7f8c, (q15_t)0x7f8b,
+ (q15_t)0x7f8b, (q15_t)0x7f8a, (q15_t)0x7f8a, (q15_t)0x7f89, (q15_t)0x7f89, (q15_t)0x7f88, (q15_t)0x7f87, (q15_t)0x7f87,
+ (q15_t)0x7f86, (q15_t)0x7f86, (q15_t)0x7f85, (q15_t)0x7f85, (q15_t)0x7f84, (q15_t)0x7f84, (q15_t)0x7f83, (q15_t)0x7f83,
+ (q15_t)0x7f82, (q15_t)0x7f81, (q15_t)0x7f81, (q15_t)0x7f80, (q15_t)0x7f80, (q15_t)0x7f7f, (q15_t)0x7f7f, (q15_t)0x7f7e,
+ (q15_t)0x7f7e, (q15_t)0x7f7d, (q15_t)0x7f7c, (q15_t)0x7f7c, (q15_t)0x7f7b, (q15_t)0x7f7b, (q15_t)0x7f7a, (q15_t)0x7f7a,
+ (q15_t)0x7f79, (q15_t)0x7f79, (q15_t)0x7f78, (q15_t)0x7f77, (q15_t)0x7f77, (q15_t)0x7f76, (q15_t)0x7f76, (q15_t)0x7f75,
+ (q15_t)0x7f75, (q15_t)0x7f74, (q15_t)0x7f73, (q15_t)0x7f73, (q15_t)0x7f72, (q15_t)0x7f72, (q15_t)0x7f71, (q15_t)0x7f70,
+ (q15_t)0x7f70, (q15_t)0x7f6f, (q15_t)0x7f6f, (q15_t)0x7f6e, (q15_t)0x7f6d, (q15_t)0x7f6d, (q15_t)0x7f6c, (q15_t)0x7f6c,
+ (q15_t)0x7f6b, (q15_t)0x7f6b, (q15_t)0x7f6a, (q15_t)0x7f69, (q15_t)0x7f69, (q15_t)0x7f68, (q15_t)0x7f68, (q15_t)0x7f67,
+ (q15_t)0x7f66, (q15_t)0x7f66, (q15_t)0x7f65, (q15_t)0x7f64, (q15_t)0x7f64, (q15_t)0x7f63, (q15_t)0x7f63, (q15_t)0x7f62,
+ (q15_t)0x7f61, (q15_t)0x7f61, (q15_t)0x7f60, (q15_t)0x7f60, (q15_t)0x7f5f, (q15_t)0x7f5e, (q15_t)0x7f5e, (q15_t)0x7f5d,
+ (q15_t)0x7f5c, (q15_t)0x7f5c, (q15_t)0x7f5b, (q15_t)0x7f5b, (q15_t)0x7f5a, (q15_t)0x7f59, (q15_t)0x7f59, (q15_t)0x7f58,
+ (q15_t)0x7f57, (q15_t)0x7f57, (q15_t)0x7f56, (q15_t)0x7f55, (q15_t)0x7f55, (q15_t)0x7f54, (q15_t)0x7f54, (q15_t)0x7f53,
+ (q15_t)0x7f52, (q15_t)0x7f52, (q15_t)0x7f51, (q15_t)0x7f50, (q15_t)0x7f50, (q15_t)0x7f4f, (q15_t)0x7f4e, (q15_t)0x7f4e,
+ (q15_t)0x7f4d, (q15_t)0x7f4c, (q15_t)0x7f4c, (q15_t)0x7f4b, (q15_t)0x7f4a, (q15_t)0x7f4a, (q15_t)0x7f49, (q15_t)0x7f48,
+ (q15_t)0x7f48, (q15_t)0x7f47, (q15_t)0x7f46, (q15_t)0x7f46, (q15_t)0x7f45, (q15_t)0x7f44, (q15_t)0x7f44, (q15_t)0x7f43,
+ (q15_t)0x7f42, (q15_t)0x7f42, (q15_t)0x7f41, (q15_t)0x7f40, (q15_t)0x7f40, (q15_t)0x7f3f, (q15_t)0x7f3e, (q15_t)0x7f3e,
+ (q15_t)0x7f3d, (q15_t)0x7f3c, (q15_t)0x7f3c, (q15_t)0x7f3b, (q15_t)0x7f3a, (q15_t)0x7f3a, (q15_t)0x7f39, (q15_t)0x7f38,
+ (q15_t)0x7f37, (q15_t)0x7f37, (q15_t)0x7f36, (q15_t)0x7f35, (q15_t)0x7f35, (q15_t)0x7f34, (q15_t)0x7f33, (q15_t)0x7f33,
+ (q15_t)0x7f32, (q15_t)0x7f31, (q15_t)0x7f31, (q15_t)0x7f30, (q15_t)0x7f2f, (q15_t)0x7f2e, (q15_t)0x7f2e, (q15_t)0x7f2d,
+ (q15_t)0x7f2c, (q15_t)0x7f2c, (q15_t)0x7f2b, (q15_t)0x7f2a, (q15_t)0x7f29, (q15_t)0x7f29, (q15_t)0x7f28, (q15_t)0x7f27,
+ (q15_t)0x7f27, (q15_t)0x7f26, (q15_t)0x7f25, (q15_t)0x7f24, (q15_t)0x7f24, (q15_t)0x7f23, (q15_t)0x7f22, (q15_t)0x7f21,
+ (q15_t)0x7f21, (q15_t)0x7f20, (q15_t)0x7f1f, (q15_t)0x7f1f, (q15_t)0x7f1e, (q15_t)0x7f1d, (q15_t)0x7f1c, (q15_t)0x7f1c,
+ (q15_t)0x7f1b, (q15_t)0x7f1a, (q15_t)0x7f19, (q15_t)0x7f19, (q15_t)0x7f18, (q15_t)0x7f17, (q15_t)0x7f16, (q15_t)0x7f16,
+ (q15_t)0x7f15, (q15_t)0x7f14, (q15_t)0x7f13, (q15_t)0x7f13, (q15_t)0x7f12, (q15_t)0x7f11, (q15_t)0x7f10, (q15_t)0x7f10,
+ (q15_t)0x7f0f, (q15_t)0x7f0e, (q15_t)0x7f0d, (q15_t)0x7f0d, (q15_t)0x7f0c, (q15_t)0x7f0b, (q15_t)0x7f0a, (q15_t)0x7f09,
+ (q15_t)0x7f09, (q15_t)0x7f08, (q15_t)0x7f07, (q15_t)0x7f06, (q15_t)0x7f06, (q15_t)0x7f05, (q15_t)0x7f04, (q15_t)0x7f03,
+ (q15_t)0x7f02, (q15_t)0x7f02, (q15_t)0x7f01, (q15_t)0x7f00, (q15_t)0x7eff, (q15_t)0x7eff, (q15_t)0x7efe, (q15_t)0x7efd,
+ (q15_t)0x7efc, (q15_t)0x7efb, (q15_t)0x7efb, (q15_t)0x7efa, (q15_t)0x7ef9, (q15_t)0x7ef8, (q15_t)0x7ef7, (q15_t)0x7ef7,
+ (q15_t)0x7ef6, (q15_t)0x7ef5, (q15_t)0x7ef4, (q15_t)0x7ef3, (q15_t)0x7ef3, (q15_t)0x7ef2, (q15_t)0x7ef1, (q15_t)0x7ef0,
+ (q15_t)0x7eef, (q15_t)0x7eef, (q15_t)0x7eee, (q15_t)0x7eed, (q15_t)0x7eec, (q15_t)0x7eeb, (q15_t)0x7eeb, (q15_t)0x7eea,
+ (q15_t)0x7ee9, (q15_t)0x7ee8, (q15_t)0x7ee7, (q15_t)0x7ee6, (q15_t)0x7ee6, (q15_t)0x7ee5, (q15_t)0x7ee4, (q15_t)0x7ee3,
+ (q15_t)0x7ee2, (q15_t)0x7ee2, (q15_t)0x7ee1, (q15_t)0x7ee0, (q15_t)0x7edf, (q15_t)0x7ede, (q15_t)0x7edd, (q15_t)0x7edd,
+ (q15_t)0x7edc, (q15_t)0x7edb, (q15_t)0x7eda, (q15_t)0x7ed9, (q15_t)0x7ed8, (q15_t)0x7ed8, (q15_t)0x7ed7, (q15_t)0x7ed6,
+ (q15_t)0x7ed5, (q15_t)0x7ed4, (q15_t)0x7ed3, (q15_t)0x7ed2, (q15_t)0x7ed2, (q15_t)0x7ed1, (q15_t)0x7ed0, (q15_t)0x7ecf,
+ (q15_t)0x7ece, (q15_t)0x7ecd, (q15_t)0x7ecc, (q15_t)0x7ecc, (q15_t)0x7ecb, (q15_t)0x7eca, (q15_t)0x7ec9, (q15_t)0x7ec8,
+ (q15_t)0x7ec7, (q15_t)0x7ec6, (q15_t)0x7ec6, (q15_t)0x7ec5, (q15_t)0x7ec4, (q15_t)0x7ec3, (q15_t)0x7ec2, (q15_t)0x7ec1,
+ (q15_t)0x7ec0, (q15_t)0x7ebf, (q15_t)0x7ebf, (q15_t)0x7ebe, (q15_t)0x7ebd, (q15_t)0x7ebc, (q15_t)0x7ebb, (q15_t)0x7eba,
+ (q15_t)0x7eb9, (q15_t)0x7eb8, (q15_t)0x7eb8, (q15_t)0x7eb7, (q15_t)0x7eb6, (q15_t)0x7eb5, (q15_t)0x7eb4, (q15_t)0x7eb3,
+ (q15_t)0x7eb2, (q15_t)0x7eb1, (q15_t)0x7eb0, (q15_t)0x7eaf, (q15_t)0x7eaf, (q15_t)0x7eae, (q15_t)0x7ead, (q15_t)0x7eac,
+ (q15_t)0x7eab, (q15_t)0x7eaa, (q15_t)0x7ea9, (q15_t)0x7ea8, (q15_t)0x7ea7, (q15_t)0x7ea6, (q15_t)0x7ea6, (q15_t)0x7ea5,
+ (q15_t)0x7ea4, (q15_t)0x7ea3, (q15_t)0x7ea2, (q15_t)0x7ea1, (q15_t)0x7ea0, (q15_t)0x7e9f, (q15_t)0x7e9e, (q15_t)0x7e9d,
+ (q15_t)0x7e9c, (q15_t)0x7e9b, (q15_t)0x7e9b, (q15_t)0x7e9a, (q15_t)0x7e99, (q15_t)0x7e98, (q15_t)0x7e97, (q15_t)0x7e96,
+ (q15_t)0x7e95, (q15_t)0x7e94, (q15_t)0x7e93, (q15_t)0x7e92, (q15_t)0x7e91, (q15_t)0x7e90, (q15_t)0x7e8f, (q15_t)0x7e8e,
+ (q15_t)0x7e8d, (q15_t)0x7e8d, (q15_t)0x7e8c, (q15_t)0x7e8b, (q15_t)0x7e8a, (q15_t)0x7e89, (q15_t)0x7e88, (q15_t)0x7e87,
+ (q15_t)0x7e86, (q15_t)0x7e85, (q15_t)0x7e84, (q15_t)0x7e83, (q15_t)0x7e82, (q15_t)0x7e81, (q15_t)0x7e80, (q15_t)0x7e7f,
+ (q15_t)0x7e7e, (q15_t)0x7e7d, (q15_t)0x7e7c, (q15_t)0x7e7b, (q15_t)0x7e7a, (q15_t)0x7e79, (q15_t)0x7e78, (q15_t)0x7e77,
+ (q15_t)0x7e77, (q15_t)0x7e76, (q15_t)0x7e75, (q15_t)0x7e74, (q15_t)0x7e73, (q15_t)0x7e72, (q15_t)0x7e71, (q15_t)0x7e70,
+ (q15_t)0x7e6f, (q15_t)0x7e6e, (q15_t)0x7e6d, (q15_t)0x7e6c, (q15_t)0x7e6b, (q15_t)0x7e6a, (q15_t)0x7e69, (q15_t)0x7e68,
+ (q15_t)0x7e67, (q15_t)0x7e66, (q15_t)0x7e65, (q15_t)0x7e64, (q15_t)0x7e63, (q15_t)0x7e62, (q15_t)0x7e61, (q15_t)0x7e60,
+ (q15_t)0x7e5f, (q15_t)0x7e5e, (q15_t)0x7e5d, (q15_t)0x7e5c, (q15_t)0x7e5b, (q15_t)0x7e5a, (q15_t)0x7e59, (q15_t)0x7e58,
+ (q15_t)0x7e57, (q15_t)0x7e56, (q15_t)0x7e55, (q15_t)0x7e54, (q15_t)0x7e53, (q15_t)0x7e52, (q15_t)0x7e51, (q15_t)0x7e50,
+ (q15_t)0x7e4f, (q15_t)0x7e4e, (q15_t)0x7e4d, (q15_t)0x7e4c, (q15_t)0x7e4b, (q15_t)0x7e4a, (q15_t)0x7e49, (q15_t)0x7e48,
+ (q15_t)0x7e47, (q15_t)0x7e46, (q15_t)0x7e45, (q15_t)0x7e43, (q15_t)0x7e42, (q15_t)0x7e41, (q15_t)0x7e40, (q15_t)0x7e3f,
+ (q15_t)0x7e3e, (q15_t)0x7e3d, (q15_t)0x7e3c, (q15_t)0x7e3b, (q15_t)0x7e3a, (q15_t)0x7e39, (q15_t)0x7e38, (q15_t)0x7e37,
+ (q15_t)0x7e36, (q15_t)0x7e35, (q15_t)0x7e34, (q15_t)0x7e33, (q15_t)0x7e32, (q15_t)0x7e31, (q15_t)0x7e30, (q15_t)0x7e2f,
+ (q15_t)0x7e2e, (q15_t)0x7e2d, (q15_t)0x7e2b, (q15_t)0x7e2a, (q15_t)0x7e29, (q15_t)0x7e28, (q15_t)0x7e27, (q15_t)0x7e26,
+ (q15_t)0x7e25, (q15_t)0x7e24, (q15_t)0x7e23, (q15_t)0x7e22, (q15_t)0x7e21, (q15_t)0x7e20, (q15_t)0x7e1f, (q15_t)0x7e1e,
+ (q15_t)0x7e1d, (q15_t)0x7e1b, (q15_t)0x7e1a, (q15_t)0x7e19, (q15_t)0x7e18, (q15_t)0x7e17, (q15_t)0x7e16, (q15_t)0x7e15,
+ (q15_t)0x7e14, (q15_t)0x7e13, (q15_t)0x7e12, (q15_t)0x7e11, (q15_t)0x7e10, (q15_t)0x7e0e, (q15_t)0x7e0d, (q15_t)0x7e0c,
+ (q15_t)0x7e0b, (q15_t)0x7e0a, (q15_t)0x7e09, (q15_t)0x7e08, (q15_t)0x7e07, (q15_t)0x7e06, (q15_t)0x7e05, (q15_t)0x7e04,
+ (q15_t)0x7e02, (q15_t)0x7e01, (q15_t)0x7e00, (q15_t)0x7dff, (q15_t)0x7dfe, (q15_t)0x7dfd, (q15_t)0x7dfc, (q15_t)0x7dfb,
+ (q15_t)0x7dfa, (q15_t)0x7df8, (q15_t)0x7df7, (q15_t)0x7df6, (q15_t)0x7df5, (q15_t)0x7df4, (q15_t)0x7df3, (q15_t)0x7df2,
+ (q15_t)0x7df1, (q15_t)0x7def, (q15_t)0x7dee, (q15_t)0x7ded, (q15_t)0x7dec, (q15_t)0x7deb, (q15_t)0x7dea, (q15_t)0x7de9,
+ (q15_t)0x7de8, (q15_t)0x7de6, (q15_t)0x7de5, (q15_t)0x7de4, (q15_t)0x7de3, (q15_t)0x7de2, (q15_t)0x7de1, (q15_t)0x7de0,
+ (q15_t)0x7dde, (q15_t)0x7ddd, (q15_t)0x7ddc, (q15_t)0x7ddb, (q15_t)0x7dda, (q15_t)0x7dd9, (q15_t)0x7dd8, (q15_t)0x7dd6,
+ (q15_t)0x7dd5, (q15_t)0x7dd4, (q15_t)0x7dd3, (q15_t)0x7dd2, (q15_t)0x7dd1, (q15_t)0x7dd0, (q15_t)0x7dce, (q15_t)0x7dcd,
+ (q15_t)0x7dcc, (q15_t)0x7dcb, (q15_t)0x7dca, (q15_t)0x7dc9, (q15_t)0x7dc7, (q15_t)0x7dc6, (q15_t)0x7dc5, (q15_t)0x7dc4,
+ (q15_t)0x7dc3, (q15_t)0x7dc2, (q15_t)0x7dc0, (q15_t)0x7dbf, (q15_t)0x7dbe, (q15_t)0x7dbd, (q15_t)0x7dbc, (q15_t)0x7dbb,
+ (q15_t)0x7db9, (q15_t)0x7db8, (q15_t)0x7db7, (q15_t)0x7db6, (q15_t)0x7db5, (q15_t)0x7db3, (q15_t)0x7db2, (q15_t)0x7db1,
+ (q15_t)0x7db0, (q15_t)0x7daf, (q15_t)0x7dae, (q15_t)0x7dac, (q15_t)0x7dab, (q15_t)0x7daa, (q15_t)0x7da9, (q15_t)0x7da8,
+ (q15_t)0x7da6, (q15_t)0x7da5, (q15_t)0x7da4, (q15_t)0x7da3, (q15_t)0x7da2, (q15_t)0x7da0, (q15_t)0x7d9f, (q15_t)0x7d9e,
+ (q15_t)0x7d9d, (q15_t)0x7d9c, (q15_t)0x7d9a, (q15_t)0x7d99, (q15_t)0x7d98, (q15_t)0x7d97, (q15_t)0x7d95, (q15_t)0x7d94,
+ (q15_t)0x7d93, (q15_t)0x7d92, (q15_t)0x7d91, (q15_t)0x7d8f, (q15_t)0x7d8e, (q15_t)0x7d8d, (q15_t)0x7d8c, (q15_t)0x7d8a,
+ (q15_t)0x7d89, (q15_t)0x7d88, (q15_t)0x7d87, (q15_t)0x7d86, (q15_t)0x7d84, (q15_t)0x7d83, (q15_t)0x7d82, (q15_t)0x7d81,
+ (q15_t)0x7d7f, (q15_t)0x7d7e, (q15_t)0x7d7d, (q15_t)0x7d7c, (q15_t)0x7d7a, (q15_t)0x7d79, (q15_t)0x7d78, (q15_t)0x7d77,
+ (q15_t)0x7d75, (q15_t)0x7d74, (q15_t)0x7d73, (q15_t)0x7d72, (q15_t)0x7d70, (q15_t)0x7d6f, (q15_t)0x7d6e, (q15_t)0x7d6d,
+ (q15_t)0x7d6b, (q15_t)0x7d6a, (q15_t)0x7d69, (q15_t)0x7d68, (q15_t)0x7d66, (q15_t)0x7d65, (q15_t)0x7d64, (q15_t)0x7d63,
+ (q15_t)0x7d61, (q15_t)0x7d60, (q15_t)0x7d5f, (q15_t)0x7d5e, (q15_t)0x7d5c, (q15_t)0x7d5b, (q15_t)0x7d5a, (q15_t)0x7d59,
+ (q15_t)0x7d57, (q15_t)0x7d56, (q15_t)0x7d55, (q15_t)0x7d53, (q15_t)0x7d52, (q15_t)0x7d51, (q15_t)0x7d50, (q15_t)0x7d4e,
+ (q15_t)0x7d4d, (q15_t)0x7d4c, (q15_t)0x7d4a, (q15_t)0x7d49, (q15_t)0x7d48, (q15_t)0x7d47, (q15_t)0x7d45, (q15_t)0x7d44,
+ (q15_t)0x7d43, (q15_t)0x7d41, (q15_t)0x7d40, (q15_t)0x7d3f, (q15_t)0x7d3e, (q15_t)0x7d3c, (q15_t)0x7d3b, (q15_t)0x7d3a,
+ (q15_t)0x7d38, (q15_t)0x7d37, (q15_t)0x7d36, (q15_t)0x7d34, (q15_t)0x7d33, (q15_t)0x7d32, (q15_t)0x7d31, (q15_t)0x7d2f,
+ (q15_t)0x7d2e, (q15_t)0x7d2d, (q15_t)0x7d2b, (q15_t)0x7d2a, (q15_t)0x7d29, (q15_t)0x7d27, (q15_t)0x7d26, (q15_t)0x7d25,
+ (q15_t)0x7d23, (q15_t)0x7d22, (q15_t)0x7d21, (q15_t)0x7d1f, (q15_t)0x7d1e, (q15_t)0x7d1d, (q15_t)0x7d1b, (q15_t)0x7d1a,
+ (q15_t)0x7d19, (q15_t)0x7d17, (q15_t)0x7d16, (q15_t)0x7d15, (q15_t)0x7d13, (q15_t)0x7d12, (q15_t)0x7d11, (q15_t)0x7d0f,
+ (q15_t)0x7d0e, (q15_t)0x7d0d, (q15_t)0x7d0b, (q15_t)0x7d0a, (q15_t)0x7d09, (q15_t)0x7d07, (q15_t)0x7d06, (q15_t)0x7d05,
+ (q15_t)0x7d03, (q15_t)0x7d02, (q15_t)0x7d01, (q15_t)0x7cff, (q15_t)0x7cfe, (q15_t)0x7cfd, (q15_t)0x7cfb, (q15_t)0x7cfa,
+ (q15_t)0x7cf9, (q15_t)0x7cf7, (q15_t)0x7cf6, (q15_t)0x7cf4, (q15_t)0x7cf3, (q15_t)0x7cf2, (q15_t)0x7cf0, (q15_t)0x7cef,
+ (q15_t)0x7cee, (q15_t)0x7cec, (q15_t)0x7ceb, (q15_t)0x7ce9, (q15_t)0x7ce8, (q15_t)0x7ce7, (q15_t)0x7ce5, (q15_t)0x7ce4,
+ (q15_t)0x7ce3, (q15_t)0x7ce1, (q15_t)0x7ce0, (q15_t)0x7cde, (q15_t)0x7cdd, (q15_t)0x7cdc, (q15_t)0x7cda, (q15_t)0x7cd9,
+ (q15_t)0x7cd8, (q15_t)0x7cd6, (q15_t)0x7cd5, (q15_t)0x7cd3, (q15_t)0x7cd2, (q15_t)0x7cd1, (q15_t)0x7ccf, (q15_t)0x7cce,
+ (q15_t)0x7ccc, (q15_t)0x7ccb, (q15_t)0x7cca, (q15_t)0x7cc8, (q15_t)0x7cc7, (q15_t)0x7cc5, (q15_t)0x7cc4, (q15_t)0x7cc3,
+ (q15_t)0x7cc1, (q15_t)0x7cc0, (q15_t)0x7cbe, (q15_t)0x7cbd, (q15_t)0x7cbc, (q15_t)0x7cba, (q15_t)0x7cb9, (q15_t)0x7cb7,
+ (q15_t)0x7cb6, (q15_t)0x7cb5, (q15_t)0x7cb3, (q15_t)0x7cb2, (q15_t)0x7cb0, (q15_t)0x7caf, (q15_t)0x7cad, (q15_t)0x7cac,
+ (q15_t)0x7cab, (q15_t)0x7ca9, (q15_t)0x7ca8, (q15_t)0x7ca6, (q15_t)0x7ca5, (q15_t)0x7ca3, (q15_t)0x7ca2, (q15_t)0x7ca1,
+ (q15_t)0x7c9f, (q15_t)0x7c9e, (q15_t)0x7c9c, (q15_t)0x7c9b, (q15_t)0x7c99, (q15_t)0x7c98, (q15_t)0x7c97, (q15_t)0x7c95,
+ (q15_t)0x7c94, (q15_t)0x7c92, (q15_t)0x7c91, (q15_t)0x7c8f, (q15_t)0x7c8e, (q15_t)0x7c8c, (q15_t)0x7c8b, (q15_t)0x7c8a,
+ (q15_t)0x7c88, (q15_t)0x7c87, (q15_t)0x7c85, (q15_t)0x7c84, (q15_t)0x7c82, (q15_t)0x7c81, (q15_t)0x7c7f, (q15_t)0x7c7e,
+ (q15_t)0x7c7c, (q15_t)0x7c7b, (q15_t)0x7c79, (q15_t)0x7c78, (q15_t)0x7c77, (q15_t)0x7c75, (q15_t)0x7c74, (q15_t)0x7c72,
+ (q15_t)0x7c71, (q15_t)0x7c6f, (q15_t)0x7c6e, (q15_t)0x7c6c, (q15_t)0x7c6b, (q15_t)0x7c69, (q15_t)0x7c68, (q15_t)0x7c66,
+ (q15_t)0x7c65, (q15_t)0x7c63, (q15_t)0x7c62, (q15_t)0x7c60, (q15_t)0x7c5f, (q15_t)0x7c5d, (q15_t)0x7c5c, (q15_t)0x7c5a,
+ (q15_t)0x7c59, (q15_t)0x7c58, (q15_t)0x7c56, (q15_t)0x7c55, (q15_t)0x7c53, (q15_t)0x7c52, (q15_t)0x7c50, (q15_t)0x7c4f,
+ (q15_t)0x7c4d, (q15_t)0x7c4c, (q15_t)0x7c4a, (q15_t)0x7c49, (q15_t)0x7c47, (q15_t)0x7c46, (q15_t)0x7c44, (q15_t)0x7c43,
+ (q15_t)0x7c41, (q15_t)0x7c3f, (q15_t)0x7c3e, (q15_t)0x7c3c, (q15_t)0x7c3b, (q15_t)0x7c39, (q15_t)0x7c38, (q15_t)0x7c36,
+ (q15_t)0x7c35, (q15_t)0x7c33, (q15_t)0x7c32, (q15_t)0x7c30, (q15_t)0x7c2f, (q15_t)0x7c2d, (q15_t)0x7c2c, (q15_t)0x7c2a,
+ (q15_t)0x7c29, (q15_t)0x7c27, (q15_t)0x7c26, (q15_t)0x7c24, (q15_t)0x7c23, (q15_t)0x7c21, (q15_t)0x7c20, (q15_t)0x7c1e,
+ (q15_t)0x7c1c, (q15_t)0x7c1b, (q15_t)0x7c19, (q15_t)0x7c18, (q15_t)0x7c16, (q15_t)0x7c15, (q15_t)0x7c13, (q15_t)0x7c12,
+ (q15_t)0x7c10, (q15_t)0x7c0f, (q15_t)0x7c0d, (q15_t)0x7c0b, (q15_t)0x7c0a, (q15_t)0x7c08, (q15_t)0x7c07, (q15_t)0x7c05,
+ (q15_t)0x7c04, (q15_t)0x7c02, (q15_t)0x7c01, (q15_t)0x7bff, (q15_t)0x7bfd, (q15_t)0x7bfc, (q15_t)0x7bfa, (q15_t)0x7bf9,
+ (q15_t)0x7bf7, (q15_t)0x7bf6, (q15_t)0x7bf4, (q15_t)0x7bf3, (q15_t)0x7bf1, (q15_t)0x7bef, (q15_t)0x7bee, (q15_t)0x7bec,
+ (q15_t)0x7beb, (q15_t)0x7be9, (q15_t)0x7be8, (q15_t)0x7be6, (q15_t)0x7be4, (q15_t)0x7be3, (q15_t)0x7be1, (q15_t)0x7be0,
+ (q15_t)0x7bde, (q15_t)0x7bdc, (q15_t)0x7bdb, (q15_t)0x7bd9, (q15_t)0x7bd8, (q15_t)0x7bd6, (q15_t)0x7bd5, (q15_t)0x7bd3,
+ (q15_t)0x7bd1, (q15_t)0x7bd0, (q15_t)0x7bce, (q15_t)0x7bcd, (q15_t)0x7bcb, (q15_t)0x7bc9, (q15_t)0x7bc8, (q15_t)0x7bc6,
+ (q15_t)0x7bc5, (q15_t)0x7bc3, (q15_t)0x7bc1, (q15_t)0x7bc0, (q15_t)0x7bbe, (q15_t)0x7bbd, (q15_t)0x7bbb, (q15_t)0x7bb9,
+ (q15_t)0x7bb8, (q15_t)0x7bb6, (q15_t)0x7bb5, (q15_t)0x7bb3, (q15_t)0x7bb1, (q15_t)0x7bb0, (q15_t)0x7bae, (q15_t)0x7bac,
+ (q15_t)0x7bab, (q15_t)0x7ba9, (q15_t)0x7ba8, (q15_t)0x7ba6, (q15_t)0x7ba4, (q15_t)0x7ba3, (q15_t)0x7ba1, (q15_t)0x7b9f,
+ (q15_t)0x7b9e, (q15_t)0x7b9c, (q15_t)0x7b9b, (q15_t)0x7b99, (q15_t)0x7b97, (q15_t)0x7b96, (q15_t)0x7b94, (q15_t)0x7b92,
+ (q15_t)0x7b91, (q15_t)0x7b8f, (q15_t)0x7b8d, (q15_t)0x7b8c, (q15_t)0x7b8a, (q15_t)0x7b89, (q15_t)0x7b87, (q15_t)0x7b85,
+ (q15_t)0x7b84, (q15_t)0x7b82, (q15_t)0x7b80, (q15_t)0x7b7f, (q15_t)0x7b7d, (q15_t)0x7b7b, (q15_t)0x7b7a, (q15_t)0x7b78,
+ (q15_t)0x7b76, (q15_t)0x7b75, (q15_t)0x7b73, (q15_t)0x7b71, (q15_t)0x7b70, (q15_t)0x7b6e, (q15_t)0x7b6c, (q15_t)0x7b6b,
+ (q15_t)0x7b69, (q15_t)0x7b67, (q15_t)0x7b66, (q15_t)0x7b64, (q15_t)0x7b62, (q15_t)0x7b61, (q15_t)0x7b5f, (q15_t)0x7b5d,
+ (q15_t)0x7b5c, (q15_t)0x7b5a, (q15_t)0x7b58, (q15_t)0x7b57, (q15_t)0x7b55, (q15_t)0x7b53, (q15_t)0x7b52, (q15_t)0x7b50,
+ (q15_t)0x7b4e, (q15_t)0x7b4d, (q15_t)0x7b4b, (q15_t)0x7b49, (q15_t)0x7b47, (q15_t)0x7b46, (q15_t)0x7b44, (q15_t)0x7b42,
+ (q15_t)0x7b41, (q15_t)0x7b3f, (q15_t)0x7b3d, (q15_t)0x7b3c, (q15_t)0x7b3a, (q15_t)0x7b38, (q15_t)0x7b37, (q15_t)0x7b35,
+ (q15_t)0x7b33, (q15_t)0x7b31, (q15_t)0x7b30, (q15_t)0x7b2e, (q15_t)0x7b2c, (q15_t)0x7b2b, (q15_t)0x7b29, (q15_t)0x7b27,
+ (q15_t)0x7b25, (q15_t)0x7b24, (q15_t)0x7b22, (q15_t)0x7b20, (q15_t)0x7b1f, (q15_t)0x7b1d, (q15_t)0x7b1b, (q15_t)0x7b19,
+ (q15_t)0x7b18, (q15_t)0x7b16, (q15_t)0x7b14, (q15_t)0x7b13, (q15_t)0x7b11, (q15_t)0x7b0f, (q15_t)0x7b0d, (q15_t)0x7b0c,
+ (q15_t)0x7b0a, (q15_t)0x7b08, (q15_t)0x7b06, (q15_t)0x7b05, (q15_t)0x7b03, (q15_t)0x7b01, (q15_t)0x7aff, (q15_t)0x7afe,
+ (q15_t)0x7afc, (q15_t)0x7afa, (q15_t)0x7af8, (q15_t)0x7af7, (q15_t)0x7af5, (q15_t)0x7af3, (q15_t)0x7af2, (q15_t)0x7af0,
+ (q15_t)0x7aee, (q15_t)0x7aec, (q15_t)0x7aeb, (q15_t)0x7ae9, (q15_t)0x7ae7, (q15_t)0x7ae5, (q15_t)0x7ae3, (q15_t)0x7ae2,
+ (q15_t)0x7ae0, (q15_t)0x7ade, (q15_t)0x7adc, (q15_t)0x7adb, (q15_t)0x7ad9, (q15_t)0x7ad7, (q15_t)0x7ad5, (q15_t)0x7ad4,
+ (q15_t)0x7ad2, (q15_t)0x7ad0, (q15_t)0x7ace, (q15_t)0x7acd, (q15_t)0x7acb, (q15_t)0x7ac9, (q15_t)0x7ac7, (q15_t)0x7ac5,
+ (q15_t)0x7ac4, (q15_t)0x7ac2, (q15_t)0x7ac0, (q15_t)0x7abe, (q15_t)0x7abd, (q15_t)0x7abb, (q15_t)0x7ab9, (q15_t)0x7ab7,
+ (q15_t)0x7ab5, (q15_t)0x7ab4, (q15_t)0x7ab2, (q15_t)0x7ab0, (q15_t)0x7aae, (q15_t)0x7aac, (q15_t)0x7aab, (q15_t)0x7aa9,
+ (q15_t)0x7aa7, (q15_t)0x7aa5, (q15_t)0x7aa3, (q15_t)0x7aa2, (q15_t)0x7aa0, (q15_t)0x7a9e, (q15_t)0x7a9c, (q15_t)0x7a9a,
+ (q15_t)0x7a99, (q15_t)0x7a97, (q15_t)0x7a95, (q15_t)0x7a93, (q15_t)0x7a91, (q15_t)0x7a90, (q15_t)0x7a8e, (q15_t)0x7a8c,
+ (q15_t)0x7a8a, (q15_t)0x7a88, (q15_t)0x7a87, (q15_t)0x7a85, (q15_t)0x7a83, (q15_t)0x7a81, (q15_t)0x7a7f, (q15_t)0x7a7d,
+ (q15_t)0x7a7c, (q15_t)0x7a7a, (q15_t)0x7a78, (q15_t)0x7a76, (q15_t)0x7a74, (q15_t)0x7a72, (q15_t)0x7a71, (q15_t)0x7a6f,
+ (q15_t)0x7a6d, (q15_t)0x7a6b, (q15_t)0x7a69, (q15_t)0x7a67, (q15_t)0x7a66, (q15_t)0x7a64, (q15_t)0x7a62, (q15_t)0x7a60,
+ (q15_t)0x7a5e, (q15_t)0x7a5c, (q15_t)0x7a5b, (q15_t)0x7a59, (q15_t)0x7a57, (q15_t)0x7a55, (q15_t)0x7a53, (q15_t)0x7a51,
+ (q15_t)0x7a4f, (q15_t)0x7a4e, (q15_t)0x7a4c, (q15_t)0x7a4a, (q15_t)0x7a48, (q15_t)0x7a46, (q15_t)0x7a44, (q15_t)0x7a42,
+ (q15_t)0x7a41, (q15_t)0x7a3f, (q15_t)0x7a3d, (q15_t)0x7a3b, (q15_t)0x7a39, (q15_t)0x7a37, (q15_t)0x7a35, (q15_t)0x7a34,
+ (q15_t)0x7a32, (q15_t)0x7a30, (q15_t)0x7a2e, (q15_t)0x7a2c, (q15_t)0x7a2a, (q15_t)0x7a28, (q15_t)0x7a26, (q15_t)0x7a25,
+ (q15_t)0x7a23, (q15_t)0x7a21, (q15_t)0x7a1f, (q15_t)0x7a1d, (q15_t)0x7a1b, (q15_t)0x7a19, (q15_t)0x7a17, (q15_t)0x7a16,
+ (q15_t)0x7a14, (q15_t)0x7a12, (q15_t)0x7a10, (q15_t)0x7a0e, (q15_t)0x7a0c, (q15_t)0x7a0a, (q15_t)0x7a08, (q15_t)0x7a06,
+ (q15_t)0x7a04, (q15_t)0x7a03, (q15_t)0x7a01, (q15_t)0x79ff, (q15_t)0x79fd, (q15_t)0x79fb, (q15_t)0x79f9, (q15_t)0x79f7,
+ (q15_t)0x79f5, (q15_t)0x79f3, (q15_t)0x79f1, (q15_t)0x79f0, (q15_t)0x79ee, (q15_t)0x79ec, (q15_t)0x79ea, (q15_t)0x79e8,
+ (q15_t)0x79e6, (q15_t)0x79e4, (q15_t)0x79e2, (q15_t)0x79e0, (q15_t)0x79de, (q15_t)0x79dc, (q15_t)0x79da, (q15_t)0x79d9,
+ (q15_t)0x79d7, (q15_t)0x79d5, (q15_t)0x79d3, (q15_t)0x79d1, (q15_t)0x79cf, (q15_t)0x79cd, (q15_t)0x79cb, (q15_t)0x79c9,
+ (q15_t)0x79c7, (q15_t)0x79c5, (q15_t)0x79c3, (q15_t)0x79c1, (q15_t)0x79bf, (q15_t)0x79bd, (q15_t)0x79bc, (q15_t)0x79ba,
+ (q15_t)0x79b8, (q15_t)0x79b6, (q15_t)0x79b4, (q15_t)0x79b2, (q15_t)0x79b0, (q15_t)0x79ae, (q15_t)0x79ac, (q15_t)0x79aa,
+ (q15_t)0x79a8, (q15_t)0x79a6, (q15_t)0x79a4, (q15_t)0x79a2, (q15_t)0x79a0, (q15_t)0x799e, (q15_t)0x799c, (q15_t)0x799a,
+ (q15_t)0x7998, (q15_t)0x7996, (q15_t)0x7994, (q15_t)0x7992, (q15_t)0x7991, (q15_t)0x798f, (q15_t)0x798d, (q15_t)0x798b,
+ (q15_t)0x7989, (q15_t)0x7987, (q15_t)0x7985, (q15_t)0x7983, (q15_t)0x7981, (q15_t)0x797f, (q15_t)0x797d, (q15_t)0x797b,
+ (q15_t)0x7979, (q15_t)0x7977, (q15_t)0x7975, (q15_t)0x7973, (q15_t)0x7971, (q15_t)0x796f, (q15_t)0x796d, (q15_t)0x796b,
+ (q15_t)0x7969, (q15_t)0x7967, (q15_t)0x7965, (q15_t)0x7963, (q15_t)0x7961, (q15_t)0x795f, (q15_t)0x795d, (q15_t)0x795b,
+ (q15_t)0x7959, (q15_t)0x7957, (q15_t)0x7955, (q15_t)0x7953, (q15_t)0x7951, (q15_t)0x794f, (q15_t)0x794d, (q15_t)0x794b,
+ (q15_t)0x7949, (q15_t)0x7947, (q15_t)0x7945, (q15_t)0x7943, (q15_t)0x7941, (q15_t)0x793f, (q15_t)0x793d, (q15_t)0x793b,
+ (q15_t)0x7939, (q15_t)0x7937, (q15_t)0x7935, (q15_t)0x7933, (q15_t)0x7931, (q15_t)0x792f, (q15_t)0x792d, (q15_t)0x792b,
+ (q15_t)0x7929, (q15_t)0x7927, (q15_t)0x7925, (q15_t)0x7923, (q15_t)0x7921, (q15_t)0x791f, (q15_t)0x791d, (q15_t)0x791a,
+ (q15_t)0x7918, (q15_t)0x7916, (q15_t)0x7914, (q15_t)0x7912, (q15_t)0x7910, (q15_t)0x790e, (q15_t)0x790c, (q15_t)0x790a,
+ (q15_t)0x7908, (q15_t)0x7906, (q15_t)0x7904, (q15_t)0x7902, (q15_t)0x7900, (q15_t)0x78fe, (q15_t)0x78fc, (q15_t)0x78fa,
+ (q15_t)0x78f8, (q15_t)0x78f6, (q15_t)0x78f4, (q15_t)0x78f2, (q15_t)0x78f0, (q15_t)0x78ed, (q15_t)0x78eb, (q15_t)0x78e9,
+ (q15_t)0x78e7, (q15_t)0x78e5, (q15_t)0x78e3, (q15_t)0x78e1, (q15_t)0x78df, (q15_t)0x78dd, (q15_t)0x78db, (q15_t)0x78d9,
+ (q15_t)0x78d7, (q15_t)0x78d5, (q15_t)0x78d3, (q15_t)0x78d1, (q15_t)0x78ce, (q15_t)0x78cc, (q15_t)0x78ca, (q15_t)0x78c8,
+ (q15_t)0x78c6, (q15_t)0x78c4, (q15_t)0x78c2, (q15_t)0x78c0, (q15_t)0x78be, (q15_t)0x78bc, (q15_t)0x78ba, (q15_t)0x78b8,
+ (q15_t)0x78b5, (q15_t)0x78b3, (q15_t)0x78b1, (q15_t)0x78af, (q15_t)0x78ad, (q15_t)0x78ab, (q15_t)0x78a9, (q15_t)0x78a7,
+ (q15_t)0x78a5, (q15_t)0x78a3, (q15_t)0x78a0, (q15_t)0x789e, (q15_t)0x789c, (q15_t)0x789a, (q15_t)0x7898, (q15_t)0x7896,
+ (q15_t)0x7894, (q15_t)0x7892, (q15_t)0x7890, (q15_t)0x788e, (q15_t)0x788b, (q15_t)0x7889, (q15_t)0x7887, (q15_t)0x7885,
+ (q15_t)0x7883, (q15_t)0x7881, (q15_t)0x787f, (q15_t)0x787d, (q15_t)0x787a, (q15_t)0x7878, (q15_t)0x7876, (q15_t)0x7874,
+ (q15_t)0x7872, (q15_t)0x7870, (q15_t)0x786e, (q15_t)0x786c, (q15_t)0x7869, (q15_t)0x7867, (q15_t)0x7865, (q15_t)0x7863,
+ (q15_t)0x7861, (q15_t)0x785f, (q15_t)0x785d, (q15_t)0x785b, (q15_t)0x7858, (q15_t)0x7856, (q15_t)0x7854, (q15_t)0x7852,
+ (q15_t)0x7850, (q15_t)0x784e, (q15_t)0x784c, (q15_t)0x7849, (q15_t)0x7847, (q15_t)0x7845, (q15_t)0x7843, (q15_t)0x7841,
+ (q15_t)0x783f, (q15_t)0x783c, (q15_t)0x783a, (q15_t)0x7838, (q15_t)0x7836, (q15_t)0x7834, (q15_t)0x7832, (q15_t)0x7830,
+ (q15_t)0x782d, (q15_t)0x782b, (q15_t)0x7829, (q15_t)0x7827, (q15_t)0x7825, (q15_t)0x7823, (q15_t)0x7820, (q15_t)0x781e,
+ (q15_t)0x781c, (q15_t)0x781a, (q15_t)0x7818, (q15_t)0x7816, (q15_t)0x7813, (q15_t)0x7811, (q15_t)0x780f, (q15_t)0x780d,
+ (q15_t)0x780b, (q15_t)0x7808, (q15_t)0x7806, (q15_t)0x7804, (q15_t)0x7802, (q15_t)0x7800, (q15_t)0x77fe, (q15_t)0x77fb,
+ (q15_t)0x77f9, (q15_t)0x77f7, (q15_t)0x77f5, (q15_t)0x77f3, (q15_t)0x77f0, (q15_t)0x77ee, (q15_t)0x77ec, (q15_t)0x77ea,
+ (q15_t)0x77e8, (q15_t)0x77e5, (q15_t)0x77e3, (q15_t)0x77e1, (q15_t)0x77df, (q15_t)0x77dd, (q15_t)0x77da, (q15_t)0x77d8,
+ (q15_t)0x77d6, (q15_t)0x77d4, (q15_t)0x77d2, (q15_t)0x77cf, (q15_t)0x77cd, (q15_t)0x77cb, (q15_t)0x77c9, (q15_t)0x77c6,
+ (q15_t)0x77c4, (q15_t)0x77c2, (q15_t)0x77c0, (q15_t)0x77be, (q15_t)0x77bb, (q15_t)0x77b9, (q15_t)0x77b7, (q15_t)0x77b5,
+ (q15_t)0x77b2, (q15_t)0x77b0, (q15_t)0x77ae, (q15_t)0x77ac, (q15_t)0x77aa, (q15_t)0x77a7, (q15_t)0x77a5, (q15_t)0x77a3,
+ (q15_t)0x77a1, (q15_t)0x779e, (q15_t)0x779c, (q15_t)0x779a, (q15_t)0x7798, (q15_t)0x7795, (q15_t)0x7793, (q15_t)0x7791,
+ (q15_t)0x778f, (q15_t)0x778c, (q15_t)0x778a, (q15_t)0x7788, (q15_t)0x7786, (q15_t)0x7783, (q15_t)0x7781, (q15_t)0x777f,
+ (q15_t)0x777d, (q15_t)0x777a, (q15_t)0x7778, (q15_t)0x7776, (q15_t)0x7774, (q15_t)0x7771, (q15_t)0x776f, (q15_t)0x776d,
+ (q15_t)0x776b, (q15_t)0x7768, (q15_t)0x7766, (q15_t)0x7764, (q15_t)0x7762, (q15_t)0x775f, (q15_t)0x775d, (q15_t)0x775b,
+ (q15_t)0x7759, (q15_t)0x7756, (q15_t)0x7754, (q15_t)0x7752, (q15_t)0x774f, (q15_t)0x774d, (q15_t)0x774b, (q15_t)0x7749,
+ (q15_t)0x7746, (q15_t)0x7744, (q15_t)0x7742, (q15_t)0x773f, (q15_t)0x773d, (q15_t)0x773b, (q15_t)0x7739, (q15_t)0x7736,
+ (q15_t)0x7734, (q15_t)0x7732, (q15_t)0x772f, (q15_t)0x772d, (q15_t)0x772b, (q15_t)0x7729, (q15_t)0x7726, (q15_t)0x7724,
+ (q15_t)0x7722, (q15_t)0x771f, (q15_t)0x771d, (q15_t)0x771b, (q15_t)0x7719, (q15_t)0x7716, (q15_t)0x7714, (q15_t)0x7712,
+ (q15_t)0x770f, (q15_t)0x770d, (q15_t)0x770b, (q15_t)0x7708, (q15_t)0x7706, (q15_t)0x7704, (q15_t)0x7701, (q15_t)0x76ff,
+ (q15_t)0x76fd, (q15_t)0x76fa, (q15_t)0x76f8, (q15_t)0x76f6, (q15_t)0x76f4, (q15_t)0x76f1, (q15_t)0x76ef, (q15_t)0x76ed,
+ (q15_t)0x76ea, (q15_t)0x76e8, (q15_t)0x76e6, (q15_t)0x76e3, (q15_t)0x76e1, (q15_t)0x76df, (q15_t)0x76dc, (q15_t)0x76da,
+ (q15_t)0x76d8, (q15_t)0x76d5, (q15_t)0x76d3, (q15_t)0x76d1, (q15_t)0x76ce, (q15_t)0x76cc, (q15_t)0x76ca, (q15_t)0x76c7,
+ (q15_t)0x76c5, (q15_t)0x76c3, (q15_t)0x76c0, (q15_t)0x76be, (q15_t)0x76bc, (q15_t)0x76b9, (q15_t)0x76b7, (q15_t)0x76b4,
+ (q15_t)0x76b2, (q15_t)0x76b0, (q15_t)0x76ad, (q15_t)0x76ab, (q15_t)0x76a9, (q15_t)0x76a6, (q15_t)0x76a4, (q15_t)0x76a2,
+ (q15_t)0x769f, (q15_t)0x769d, (q15_t)0x769b, (q15_t)0x7698, (q15_t)0x7696, (q15_t)0x7693, (q15_t)0x7691, (q15_t)0x768f,
+ (q15_t)0x768c, (q15_t)0x768a, (q15_t)0x7688, (q15_t)0x7685, (q15_t)0x7683, (q15_t)0x7681, (q15_t)0x767e, (q15_t)0x767c,
+ (q15_t)0x7679, (q15_t)0x7677, (q15_t)0x7675, (q15_t)0x7672, (q15_t)0x7670, (q15_t)0x766d, (q15_t)0x766b, (q15_t)0x7669,
+ (q15_t)0x7666, (q15_t)0x7664, (q15_t)0x7662, (q15_t)0x765f, (q15_t)0x765d, (q15_t)0x765a, (q15_t)0x7658, (q15_t)0x7656,
+ (q15_t)0x7653, (q15_t)0x7651, (q15_t)0x764e, (q15_t)0x764c, (q15_t)0x764a, (q15_t)0x7647, (q15_t)0x7645, (q15_t)0x7642,
+ (q15_t)0x7640, (q15_t)0x763e, (q15_t)0x763b, (q15_t)0x7639, (q15_t)0x7636, (q15_t)0x7634, (q15_t)0x7632, (q15_t)0x762f,
+ (q15_t)0x762d, (q15_t)0x762a, (q15_t)0x7628, (q15_t)0x7625, (q15_t)0x7623, (q15_t)0x7621, (q15_t)0x761e, (q15_t)0x761c,
+ (q15_t)0x7619, (q15_t)0x7617, (q15_t)0x7615, (q15_t)0x7612, (q15_t)0x7610, (q15_t)0x760d, (q15_t)0x760b, (q15_t)0x7608,
+ (q15_t)0x7606, (q15_t)0x7604, (q15_t)0x7601, (q15_t)0x75ff, (q15_t)0x75fc, (q15_t)0x75fa, (q15_t)0x75f7, (q15_t)0x75f5,
+ (q15_t)0x75f2, (q15_t)0x75f0, (q15_t)0x75ee, (q15_t)0x75eb, (q15_t)0x75e9, (q15_t)0x75e6, (q15_t)0x75e4, (q15_t)0x75e1,
+ (q15_t)0x75df, (q15_t)0x75dc, (q15_t)0x75da, (q15_t)0x75d8, (q15_t)0x75d5, (q15_t)0x75d3, (q15_t)0x75d0, (q15_t)0x75ce,
+ (q15_t)0x75cb, (q15_t)0x75c9, (q15_t)0x75c6, (q15_t)0x75c4, (q15_t)0x75c1, (q15_t)0x75bf, (q15_t)0x75bc, (q15_t)0x75ba,
+ (q15_t)0x75b8, (q15_t)0x75b5, (q15_t)0x75b3, (q15_t)0x75b0, (q15_t)0x75ae, (q15_t)0x75ab, (q15_t)0x75a9, (q15_t)0x75a6,
+ (q15_t)0x75a4, (q15_t)0x75a1, (q15_t)0x759f, (q15_t)0x759c, (q15_t)0x759a, (q15_t)0x7597, (q15_t)0x7595, (q15_t)0x7592,
+ (q15_t)0x7590, (q15_t)0x758d, (q15_t)0x758b, (q15_t)0x7588, (q15_t)0x7586, (q15_t)0x7584, (q15_t)0x7581, (q15_t)0x757f,
+ (q15_t)0x757c, (q15_t)0x757a, (q15_t)0x7577, (q15_t)0x7575, (q15_t)0x7572, (q15_t)0x7570, (q15_t)0x756d, (q15_t)0x756b,
+ (q15_t)0x7568, (q15_t)0x7566, (q15_t)0x7563, (q15_t)0x7561, (q15_t)0x755e, (q15_t)0x755c, (q15_t)0x7559, (q15_t)0x7556,
+ (q15_t)0x7554, (q15_t)0x7551, (q15_t)0x754f, (q15_t)0x754c, (q15_t)0x754a, (q15_t)0x7547, (q15_t)0x7545, (q15_t)0x7542,
+ (q15_t)0x7540, (q15_t)0x753d, (q15_t)0x753b, (q15_t)0x7538, (q15_t)0x7536, (q15_t)0x7533, (q15_t)0x7531, (q15_t)0x752e,
+ (q15_t)0x752c, (q15_t)0x7529, (q15_t)0x7527, (q15_t)0x7524, (q15_t)0x7522, (q15_t)0x751f, (q15_t)0x751c, (q15_t)0x751a,
+ (q15_t)0x7517, (q15_t)0x7515, (q15_t)0x7512, (q15_t)0x7510, (q15_t)0x750d, (q15_t)0x750b, (q15_t)0x7508, (q15_t)0x7506,
+ (q15_t)0x7503, (q15_t)0x7501, (q15_t)0x74fe, (q15_t)0x74fb, (q15_t)0x74f9, (q15_t)0x74f6, (q15_t)0x74f4, (q15_t)0x74f1,
+ (q15_t)0x74ef, (q15_t)0x74ec, (q15_t)0x74ea, (q15_t)0x74e7, (q15_t)0x74e4, (q15_t)0x74e2, (q15_t)0x74df, (q15_t)0x74dd,
+ (q15_t)0x74da, (q15_t)0x74d8, (q15_t)0x74d5, (q15_t)0x74d2, (q15_t)0x74d0, (q15_t)0x74cd, (q15_t)0x74cb, (q15_t)0x74c8,
+ (q15_t)0x74c6, (q15_t)0x74c3, (q15_t)0x74c0, (q15_t)0x74be, (q15_t)0x74bb, (q15_t)0x74b9, (q15_t)0x74b6, (q15_t)0x74b4,
+ (q15_t)0x74b1, (q15_t)0x74ae, (q15_t)0x74ac, (q15_t)0x74a9, (q15_t)0x74a7, (q15_t)0x74a4, (q15_t)0x74a1, (q15_t)0x749f,
+ (q15_t)0x749c, (q15_t)0x749a, (q15_t)0x7497, (q15_t)0x7495, (q15_t)0x7492, (q15_t)0x748f, (q15_t)0x748d, (q15_t)0x748a,
+ (q15_t)0x7488, (q15_t)0x7485, (q15_t)0x7482, (q15_t)0x7480, (q15_t)0x747d, (q15_t)0x747b, (q15_t)0x7478, (q15_t)0x7475,
+ (q15_t)0x7473, (q15_t)0x7470, (q15_t)0x746d, (q15_t)0x746b, (q15_t)0x7468, (q15_t)0x7466, (q15_t)0x7463, (q15_t)0x7460,
+ (q15_t)0x745e, (q15_t)0x745b, (q15_t)0x7459, (q15_t)0x7456, (q15_t)0x7453, (q15_t)0x7451, (q15_t)0x744e, (q15_t)0x744b,
+ (q15_t)0x7449, (q15_t)0x7446, (q15_t)0x7444, (q15_t)0x7441, (q15_t)0x743e, (q15_t)0x743c, (q15_t)0x7439, (q15_t)0x7436,
+ (q15_t)0x7434, (q15_t)0x7431, (q15_t)0x742f, (q15_t)0x742c, (q15_t)0x7429, (q15_t)0x7427, (q15_t)0x7424, (q15_t)0x7421,
+ (q15_t)0x741f, (q15_t)0x741c, (q15_t)0x7419, (q15_t)0x7417, (q15_t)0x7414, (q15_t)0x7411, (q15_t)0x740f, (q15_t)0x740c,
+ (q15_t)0x740a, (q15_t)0x7407, (q15_t)0x7404, (q15_t)0x7402, (q15_t)0x73ff, (q15_t)0x73fc, (q15_t)0x73fa, (q15_t)0x73f7,
+ (q15_t)0x73f4, (q15_t)0x73f2, (q15_t)0x73ef, (q15_t)0x73ec, (q15_t)0x73ea, (q15_t)0x73e7, (q15_t)0x73e4, (q15_t)0x73e2,
+ (q15_t)0x73df, (q15_t)0x73dc, (q15_t)0x73da, (q15_t)0x73d7, (q15_t)0x73d4, (q15_t)0x73d2, (q15_t)0x73cf, (q15_t)0x73cc,
+ (q15_t)0x73ca, (q15_t)0x73c7, (q15_t)0x73c4, (q15_t)0x73c1, (q15_t)0x73bf, (q15_t)0x73bc, (q15_t)0x73b9, (q15_t)0x73b7,
+ (q15_t)0x73b4, (q15_t)0x73b1, (q15_t)0x73af, (q15_t)0x73ac, (q15_t)0x73a9, (q15_t)0x73a7, (q15_t)0x73a4, (q15_t)0x73a1,
+ (q15_t)0x739f, (q15_t)0x739c, (q15_t)0x7399, (q15_t)0x7396, (q15_t)0x7394, (q15_t)0x7391, (q15_t)0x738e, (q15_t)0x738c,
+ (q15_t)0x7389, (q15_t)0x7386, (q15_t)0x7384, (q15_t)0x7381, (q15_t)0x737e, (q15_t)0x737b, (q15_t)0x7379, (q15_t)0x7376,
+ (q15_t)0x7373, (q15_t)0x7371, (q15_t)0x736e, (q15_t)0x736b, (q15_t)0x7368, (q15_t)0x7366, (q15_t)0x7363, (q15_t)0x7360,
+ (q15_t)0x735e, (q15_t)0x735b, (q15_t)0x7358, (q15_t)0x7355, (q15_t)0x7353, (q15_t)0x7350, (q15_t)0x734d, (q15_t)0x734a,
+ (q15_t)0x7348, (q15_t)0x7345, (q15_t)0x7342, (q15_t)0x7340, (q15_t)0x733d, (q15_t)0x733a, (q15_t)0x7337, (q15_t)0x7335,
+ (q15_t)0x7332, (q15_t)0x732f, (q15_t)0x732c, (q15_t)0x732a, (q15_t)0x7327, (q15_t)0x7324, (q15_t)0x7321, (q15_t)0x731f,
+ (q15_t)0x731c, (q15_t)0x7319, (q15_t)0x7316, (q15_t)0x7314, (q15_t)0x7311, (q15_t)0x730e, (q15_t)0x730b, (q15_t)0x7309,
+ (q15_t)0x7306, (q15_t)0x7303, (q15_t)0x7300, (q15_t)0x72fe, (q15_t)0x72fb, (q15_t)0x72f8, (q15_t)0x72f5, (q15_t)0x72f3,
+ (q15_t)0x72f0, (q15_t)0x72ed, (q15_t)0x72ea, (q15_t)0x72e8, (q15_t)0x72e5, (q15_t)0x72e2, (q15_t)0x72df, (q15_t)0x72dc,
+ (q15_t)0x72da, (q15_t)0x72d7, (q15_t)0x72d4, (q15_t)0x72d1, (q15_t)0x72cf, (q15_t)0x72cc, (q15_t)0x72c9, (q15_t)0x72c6,
+ (q15_t)0x72c3, (q15_t)0x72c1, (q15_t)0x72be, (q15_t)0x72bb, (q15_t)0x72b8, (q15_t)0x72b5, (q15_t)0x72b3, (q15_t)0x72b0,
+ (q15_t)0x72ad, (q15_t)0x72aa, (q15_t)0x72a8, (q15_t)0x72a5, (q15_t)0x72a2, (q15_t)0x729f, (q15_t)0x729c, (q15_t)0x729a,
+ (q15_t)0x7297, (q15_t)0x7294, (q15_t)0x7291, (q15_t)0x728e, (q15_t)0x728c, (q15_t)0x7289, (q15_t)0x7286, (q15_t)0x7283,
+ (q15_t)0x7280, (q15_t)0x727e, (q15_t)0x727b, (q15_t)0x7278, (q15_t)0x7275, (q15_t)0x7272, (q15_t)0x726f, (q15_t)0x726d,
+ (q15_t)0x726a, (q15_t)0x7267, (q15_t)0x7264, (q15_t)0x7261, (q15_t)0x725f, (q15_t)0x725c, (q15_t)0x7259, (q15_t)0x7256,
+ (q15_t)0x7253, (q15_t)0x7250, (q15_t)0x724e, (q15_t)0x724b, (q15_t)0x7248, (q15_t)0x7245, (q15_t)0x7242, (q15_t)0x723f,
+ (q15_t)0x723d, (q15_t)0x723a, (q15_t)0x7237, (q15_t)0x7234, (q15_t)0x7231, (q15_t)0x722e, (q15_t)0x722c, (q15_t)0x7229,
+ (q15_t)0x7226, (q15_t)0x7223, (q15_t)0x7220, (q15_t)0x721d, (q15_t)0x721b, (q15_t)0x7218, (q15_t)0x7215, (q15_t)0x7212,
+ (q15_t)0x720f, (q15_t)0x720c, (q15_t)0x7209, (q15_t)0x7207, (q15_t)0x7204, (q15_t)0x7201, (q15_t)0x71fe, (q15_t)0x71fb,
+ (q15_t)0x71f8, (q15_t)0x71f5, (q15_t)0x71f3, (q15_t)0x71f0, (q15_t)0x71ed, (q15_t)0x71ea, (q15_t)0x71e7, (q15_t)0x71e4,
+ (q15_t)0x71e1, (q15_t)0x71df, (q15_t)0x71dc, (q15_t)0x71d9, (q15_t)0x71d6, (q15_t)0x71d3, (q15_t)0x71d0, (q15_t)0x71cd,
+ (q15_t)0x71ca, (q15_t)0x71c8, (q15_t)0x71c5, (q15_t)0x71c2, (q15_t)0x71bf, (q15_t)0x71bc, (q15_t)0x71b9, (q15_t)0x71b6,
+ (q15_t)0x71b3, (q15_t)0x71b0, (q15_t)0x71ae, (q15_t)0x71ab, (q15_t)0x71a8, (q15_t)0x71a5, (q15_t)0x71a2, (q15_t)0x719f,
+ (q15_t)0x719c, (q15_t)0x7199, (q15_t)0x7196, (q15_t)0x7194, (q15_t)0x7191, (q15_t)0x718e, (q15_t)0x718b, (q15_t)0x7188,
+ (q15_t)0x7185, (q15_t)0x7182, (q15_t)0x717f, (q15_t)0x717c, (q15_t)0x7179, (q15_t)0x7177, (q15_t)0x7174, (q15_t)0x7171,
+ (q15_t)0x716e, (q15_t)0x716b, (q15_t)0x7168, (q15_t)0x7165, (q15_t)0x7162, (q15_t)0x715f, (q15_t)0x715c, (q15_t)0x7159,
+ (q15_t)0x7156, (q15_t)0x7154, (q15_t)0x7151, (q15_t)0x714e, (q15_t)0x714b, (q15_t)0x7148, (q15_t)0x7145, (q15_t)0x7142,
+ (q15_t)0x713f, (q15_t)0x713c, (q15_t)0x7139, (q15_t)0x7136, (q15_t)0x7133, (q15_t)0x7130, (q15_t)0x712d, (q15_t)0x712b,
+ (q15_t)0x7128, (q15_t)0x7125, (q15_t)0x7122, (q15_t)0x711f, (q15_t)0x711c, (q15_t)0x7119, (q15_t)0x7116, (q15_t)0x7113,
+ (q15_t)0x7110, (q15_t)0x710d, (q15_t)0x710a, (q15_t)0x7107, (q15_t)0x7104, (q15_t)0x7101, (q15_t)0x70fe, (q15_t)0x70fb,
+ (q15_t)0x70f8, (q15_t)0x70f6, (q15_t)0x70f3, (q15_t)0x70f0, (q15_t)0x70ed, (q15_t)0x70ea, (q15_t)0x70e7, (q15_t)0x70e4,
+ (q15_t)0x70e1, (q15_t)0x70de, (q15_t)0x70db, (q15_t)0x70d8, (q15_t)0x70d5, (q15_t)0x70d2, (q15_t)0x70cf, (q15_t)0x70cc,
+ (q15_t)0x70c9, (q15_t)0x70c6, (q15_t)0x70c3, (q15_t)0x70c0, (q15_t)0x70bd, (q15_t)0x70ba, (q15_t)0x70b7, (q15_t)0x70b4,
+ (q15_t)0x70b1, (q15_t)0x70ae, (q15_t)0x70ab, (q15_t)0x70a8, (q15_t)0x70a5, (q15_t)0x70a2, (q15_t)0x709f, (q15_t)0x709c,
+ (q15_t)0x7099, (q15_t)0x7096, (q15_t)0x7093, (q15_t)0x7090, (q15_t)0x708d, (q15_t)0x708a, (q15_t)0x7087, (q15_t)0x7084,
+ (q15_t)0x7081, (q15_t)0x707e, (q15_t)0x707b, (q15_t)0x7078, (q15_t)0x7075, (q15_t)0x7072, (q15_t)0x706f, (q15_t)0x706c,
+ (q15_t)0x7069, (q15_t)0x7066, (q15_t)0x7063, (q15_t)0x7060, (q15_t)0x705d, (q15_t)0x705a, (q15_t)0x7057, (q15_t)0x7054,
+ (q15_t)0x7051, (q15_t)0x704e, (q15_t)0x704b, (q15_t)0x7048, (q15_t)0x7045, (q15_t)0x7042, (q15_t)0x703f, (q15_t)0x703c,
+ (q15_t)0x7039, (q15_t)0x7036, (q15_t)0x7033, (q15_t)0x7030, (q15_t)0x702d, (q15_t)0x702a, (q15_t)0x7027, (q15_t)0x7024,
+ (q15_t)0x7021, (q15_t)0x701e, (q15_t)0x701b, (q15_t)0x7018, (q15_t)0x7015, (q15_t)0x7012, (q15_t)0x700f, (q15_t)0x700c,
+ (q15_t)0x7009, (q15_t)0x7006, (q15_t)0x7003, (q15_t)0x7000, (q15_t)0x6ffd, (q15_t)0x6ffa, (q15_t)0x6ff7, (q15_t)0x6ff3,
+ (q15_t)0x6ff0, (q15_t)0x6fed, (q15_t)0x6fea, (q15_t)0x6fe7, (q15_t)0x6fe4, (q15_t)0x6fe1, (q15_t)0x6fde, (q15_t)0x6fdb,
+ (q15_t)0x6fd8, (q15_t)0x6fd5, (q15_t)0x6fd2, (q15_t)0x6fcf, (q15_t)0x6fcc, (q15_t)0x6fc9, (q15_t)0x6fc6, (q15_t)0x6fc3,
+ (q15_t)0x6fc0, (q15_t)0x6fbc, (q15_t)0x6fb9, (q15_t)0x6fb6, (q15_t)0x6fb3, (q15_t)0x6fb0, (q15_t)0x6fad, (q15_t)0x6faa,
+ (q15_t)0x6fa7, (q15_t)0x6fa4, (q15_t)0x6fa1, (q15_t)0x6f9e, (q15_t)0x6f9b, (q15_t)0x6f98, (q15_t)0x6f95, (q15_t)0x6f91,
+ (q15_t)0x6f8e, (q15_t)0x6f8b, (q15_t)0x6f88, (q15_t)0x6f85, (q15_t)0x6f82, (q15_t)0x6f7f, (q15_t)0x6f7c, (q15_t)0x6f79,
+ (q15_t)0x6f76, (q15_t)0x6f73, (q15_t)0x6f70, (q15_t)0x6f6c, (q15_t)0x6f69, (q15_t)0x6f66, (q15_t)0x6f63, (q15_t)0x6f60,
+ (q15_t)0x6f5d, (q15_t)0x6f5a, (q15_t)0x6f57, (q15_t)0x6f54, (q15_t)0x6f51, (q15_t)0x6f4d, (q15_t)0x6f4a, (q15_t)0x6f47,
+ (q15_t)0x6f44, (q15_t)0x6f41, (q15_t)0x6f3e, (q15_t)0x6f3b, (q15_t)0x6f38, (q15_t)0x6f35, (q15_t)0x6f31, (q15_t)0x6f2e,
+ (q15_t)0x6f2b, (q15_t)0x6f28, (q15_t)0x6f25, (q15_t)0x6f22, (q15_t)0x6f1f, (q15_t)0x6f1c, (q15_t)0x6f19, (q15_t)0x6f15,
+ (q15_t)0x6f12, (q15_t)0x6f0f, (q15_t)0x6f0c, (q15_t)0x6f09, (q15_t)0x6f06, (q15_t)0x6f03, (q15_t)0x6f00, (q15_t)0x6efc,
+ (q15_t)0x6ef9, (q15_t)0x6ef6, (q15_t)0x6ef3, (q15_t)0x6ef0, (q15_t)0x6eed, (q15_t)0x6eea, (q15_t)0x6ee7, (q15_t)0x6ee3,
+ (q15_t)0x6ee0, (q15_t)0x6edd, (q15_t)0x6eda, (q15_t)0x6ed7, (q15_t)0x6ed4, (q15_t)0x6ed1, (q15_t)0x6ecd, (q15_t)0x6eca,
+ (q15_t)0x6ec7, (q15_t)0x6ec4, (q15_t)0x6ec1, (q15_t)0x6ebe, (q15_t)0x6eba, (q15_t)0x6eb7, (q15_t)0x6eb4, (q15_t)0x6eb1,
+ (q15_t)0x6eae, (q15_t)0x6eab, (q15_t)0x6ea8, (q15_t)0x6ea4, (q15_t)0x6ea1, (q15_t)0x6e9e, (q15_t)0x6e9b, (q15_t)0x6e98,
+ (q15_t)0x6e95, (q15_t)0x6e91, (q15_t)0x6e8e, (q15_t)0x6e8b, (q15_t)0x6e88, (q15_t)0x6e85, (q15_t)0x6e82, (q15_t)0x6e7e,
+ (q15_t)0x6e7b, (q15_t)0x6e78, (q15_t)0x6e75, (q15_t)0x6e72, (q15_t)0x6e6f, (q15_t)0x6e6b, (q15_t)0x6e68, (q15_t)0x6e65,
+ (q15_t)0x6e62, (q15_t)0x6e5f, (q15_t)0x6e5b, (q15_t)0x6e58, (q15_t)0x6e55, (q15_t)0x6e52, (q15_t)0x6e4f, (q15_t)0x6e4c,
+ (q15_t)0x6e48, (q15_t)0x6e45, (q15_t)0x6e42, (q15_t)0x6e3f, (q15_t)0x6e3c, (q15_t)0x6e38, (q15_t)0x6e35, (q15_t)0x6e32,
+ (q15_t)0x6e2f, (q15_t)0x6e2c, (q15_t)0x6e28, (q15_t)0x6e25, (q15_t)0x6e22, (q15_t)0x6e1f, (q15_t)0x6e1c, (q15_t)0x6e18,
+ (q15_t)0x6e15, (q15_t)0x6e12, (q15_t)0x6e0f, (q15_t)0x6e0c, (q15_t)0x6e08, (q15_t)0x6e05, (q15_t)0x6e02, (q15_t)0x6dff,
+ (q15_t)0x6dfb, (q15_t)0x6df8, (q15_t)0x6df5, (q15_t)0x6df2, (q15_t)0x6def, (q15_t)0x6deb, (q15_t)0x6de8, (q15_t)0x6de5,
+ (q15_t)0x6de2, (q15_t)0x6ddf, (q15_t)0x6ddb, (q15_t)0x6dd8, (q15_t)0x6dd5, (q15_t)0x6dd2, (q15_t)0x6dce, (q15_t)0x6dcb,
+ (q15_t)0x6dc8, (q15_t)0x6dc5, (q15_t)0x6dc1, (q15_t)0x6dbe, (q15_t)0x6dbb, (q15_t)0x6db8, (q15_t)0x6db5, (q15_t)0x6db1,
+ (q15_t)0x6dae, (q15_t)0x6dab, (q15_t)0x6da8, (q15_t)0x6da4, (q15_t)0x6da1, (q15_t)0x6d9e, (q15_t)0x6d9b, (q15_t)0x6d97,
+ (q15_t)0x6d94, (q15_t)0x6d91, (q15_t)0x6d8e, (q15_t)0x6d8a, (q15_t)0x6d87, (q15_t)0x6d84, (q15_t)0x6d81, (q15_t)0x6d7d,
+ (q15_t)0x6d7a, (q15_t)0x6d77, (q15_t)0x6d74, (q15_t)0x6d70, (q15_t)0x6d6d, (q15_t)0x6d6a, (q15_t)0x6d67, (q15_t)0x6d63,
+ (q15_t)0x6d60, (q15_t)0x6d5d, (q15_t)0x6d59, (q15_t)0x6d56, (q15_t)0x6d53, (q15_t)0x6d50, (q15_t)0x6d4c, (q15_t)0x6d49,
+ (q15_t)0x6d46, (q15_t)0x6d43, (q15_t)0x6d3f, (q15_t)0x6d3c, (q15_t)0x6d39, (q15_t)0x6d36, (q15_t)0x6d32, (q15_t)0x6d2f,
+ (q15_t)0x6d2c, (q15_t)0x6d28, (q15_t)0x6d25, (q15_t)0x6d22, (q15_t)0x6d1f, (q15_t)0x6d1b, (q15_t)0x6d18, (q15_t)0x6d15,
+ (q15_t)0x6d11, (q15_t)0x6d0e, (q15_t)0x6d0b, (q15_t)0x6d08, (q15_t)0x6d04, (q15_t)0x6d01, (q15_t)0x6cfe, (q15_t)0x6cfa,
+ (q15_t)0x6cf7, (q15_t)0x6cf4, (q15_t)0x6cf0, (q15_t)0x6ced, (q15_t)0x6cea, (q15_t)0x6ce7, (q15_t)0x6ce3, (q15_t)0x6ce0,
+ (q15_t)0x6cdd, (q15_t)0x6cd9, (q15_t)0x6cd6, (q15_t)0x6cd3, (q15_t)0x6ccf, (q15_t)0x6ccc, (q15_t)0x6cc9, (q15_t)0x6cc5,
+ (q15_t)0x6cc2, (q15_t)0x6cbf, (q15_t)0x6cbc, (q15_t)0x6cb8, (q15_t)0x6cb5, (q15_t)0x6cb2, (q15_t)0x6cae, (q15_t)0x6cab,
+ (q15_t)0x6ca8, (q15_t)0x6ca4, (q15_t)0x6ca1, (q15_t)0x6c9e, (q15_t)0x6c9a, (q15_t)0x6c97, (q15_t)0x6c94, (q15_t)0x6c90,
+ (q15_t)0x6c8d, (q15_t)0x6c8a, (q15_t)0x6c86, (q15_t)0x6c83, (q15_t)0x6c80, (q15_t)0x6c7c, (q15_t)0x6c79, (q15_t)0x6c76,
+ (q15_t)0x6c72, (q15_t)0x6c6f, (q15_t)0x6c6c, (q15_t)0x6c68, (q15_t)0x6c65, (q15_t)0x6c62, (q15_t)0x6c5e, (q15_t)0x6c5b,
+ (q15_t)0x6c58, (q15_t)0x6c54, (q15_t)0x6c51, (q15_t)0x6c4e, (q15_t)0x6c4a, (q15_t)0x6c47, (q15_t)0x6c44, (q15_t)0x6c40,
+ (q15_t)0x6c3d, (q15_t)0x6c39, (q15_t)0x6c36, (q15_t)0x6c33, (q15_t)0x6c2f, (q15_t)0x6c2c, (q15_t)0x6c29, (q15_t)0x6c25,
+ (q15_t)0x6c22, (q15_t)0x6c1f, (q15_t)0x6c1b, (q15_t)0x6c18, (q15_t)0x6c15, (q15_t)0x6c11, (q15_t)0x6c0e, (q15_t)0x6c0a,
+ (q15_t)0x6c07, (q15_t)0x6c04, (q15_t)0x6c00, (q15_t)0x6bfd, (q15_t)0x6bfa, (q15_t)0x6bf6, (q15_t)0x6bf3, (q15_t)0x6bef,
+ (q15_t)0x6bec, (q15_t)0x6be9, (q15_t)0x6be5, (q15_t)0x6be2, (q15_t)0x6bdf, (q15_t)0x6bdb, (q15_t)0x6bd8, (q15_t)0x6bd4,
+ (q15_t)0x6bd1, (q15_t)0x6bce, (q15_t)0x6bca, (q15_t)0x6bc7, (q15_t)0x6bc3, (q15_t)0x6bc0, (q15_t)0x6bbd, (q15_t)0x6bb9,
+ (q15_t)0x6bb6, (q15_t)0x6bb2, (q15_t)0x6baf, (q15_t)0x6bac, (q15_t)0x6ba8, (q15_t)0x6ba5, (q15_t)0x6ba1, (q15_t)0x6b9e,
+ (q15_t)0x6b9b, (q15_t)0x6b97, (q15_t)0x6b94, (q15_t)0x6b90, (q15_t)0x6b8d, (q15_t)0x6b8a, (q15_t)0x6b86, (q15_t)0x6b83,
+ (q15_t)0x6b7f, (q15_t)0x6b7c, (q15_t)0x6b79, (q15_t)0x6b75, (q15_t)0x6b72, (q15_t)0x6b6e, (q15_t)0x6b6b, (q15_t)0x6b68,
+ (q15_t)0x6b64, (q15_t)0x6b61, (q15_t)0x6b5d, (q15_t)0x6b5a, (q15_t)0x6b56, (q15_t)0x6b53, (q15_t)0x6b50, (q15_t)0x6b4c,
+ (q15_t)0x6b49, (q15_t)0x6b45, (q15_t)0x6b42, (q15_t)0x6b3e, (q15_t)0x6b3b, (q15_t)0x6b38, (q15_t)0x6b34, (q15_t)0x6b31,
+ (q15_t)0x6b2d, (q15_t)0x6b2a, (q15_t)0x6b26, (q15_t)0x6b23, (q15_t)0x6b20, (q15_t)0x6b1c, (q15_t)0x6b19, (q15_t)0x6b15,
+ (q15_t)0x6b12, (q15_t)0x6b0e, (q15_t)0x6b0b, (q15_t)0x6b07, (q15_t)0x6b04, (q15_t)0x6b01, (q15_t)0x6afd, (q15_t)0x6afa,
+ (q15_t)0x6af6, (q15_t)0x6af3, (q15_t)0x6aef, (q15_t)0x6aec, (q15_t)0x6ae8, (q15_t)0x6ae5, (q15_t)0x6ae1, (q15_t)0x6ade,
+ (q15_t)0x6adb, (q15_t)0x6ad7, (q15_t)0x6ad4, (q15_t)0x6ad0, (q15_t)0x6acd, (q15_t)0x6ac9, (q15_t)0x6ac6, (q15_t)0x6ac2,
+ (q15_t)0x6abf, (q15_t)0x6abb, (q15_t)0x6ab8, (q15_t)0x6ab4, (q15_t)0x6ab1, (q15_t)0x6aae, (q15_t)0x6aaa, (q15_t)0x6aa7,
+ (q15_t)0x6aa3, (q15_t)0x6aa0, (q15_t)0x6a9c, (q15_t)0x6a99, (q15_t)0x6a95, (q15_t)0x6a92, (q15_t)0x6a8e, (q15_t)0x6a8b,
+ (q15_t)0x6a87, (q15_t)0x6a84, (q15_t)0x6a80, (q15_t)0x6a7d, (q15_t)0x6a79, (q15_t)0x6a76, (q15_t)0x6a72, (q15_t)0x6a6f,
+ (q15_t)0x6a6b, (q15_t)0x6a68, (q15_t)0x6a64, (q15_t)0x6a61, (q15_t)0x6a5d, (q15_t)0x6a5a, (q15_t)0x6a56, (q15_t)0x6a53,
+ (q15_t)0x6a4f, (q15_t)0x6a4c, (q15_t)0x6a48, (q15_t)0x6a45, (q15_t)0x6a41, (q15_t)0x6a3e, (q15_t)0x6a3a, (q15_t)0x6a37,
+ (q15_t)0x6a33, (q15_t)0x6a30, (q15_t)0x6a2c, (q15_t)0x6a29, (q15_t)0x6a25, (q15_t)0x6a22, (q15_t)0x6a1e, (q15_t)0x6a1b,
+ (q15_t)0x6a17, (q15_t)0x6a14, (q15_t)0x6a10, (q15_t)0x6a0d, (q15_t)0x6a09, (q15_t)0x6a06, (q15_t)0x6a02, (q15_t)0x69ff,
+ (q15_t)0x69fb, (q15_t)0x69f8, (q15_t)0x69f4, (q15_t)0x69f1, (q15_t)0x69ed, (q15_t)0x69e9, (q15_t)0x69e6, (q15_t)0x69e2,
+ (q15_t)0x69df, (q15_t)0x69db, (q15_t)0x69d8, (q15_t)0x69d4, (q15_t)0x69d1, (q15_t)0x69cd, (q15_t)0x69ca, (q15_t)0x69c6,
+ (q15_t)0x69c3, (q15_t)0x69bf, (q15_t)0x69bc, (q15_t)0x69b8, (q15_t)0x69b4, (q15_t)0x69b1, (q15_t)0x69ad, (q15_t)0x69aa,
+ (q15_t)0x69a6, (q15_t)0x69a3, (q15_t)0x699f, (q15_t)0x699c, (q15_t)0x6998, (q15_t)0x6995, (q15_t)0x6991, (q15_t)0x698d,
+ (q15_t)0x698a, (q15_t)0x6986, (q15_t)0x6983, (q15_t)0x697f, (q15_t)0x697c, (q15_t)0x6978, (q15_t)0x6975, (q15_t)0x6971,
+ (q15_t)0x696d, (q15_t)0x696a, (q15_t)0x6966, (q15_t)0x6963, (q15_t)0x695f, (q15_t)0x695c, (q15_t)0x6958, (q15_t)0x6954,
+ (q15_t)0x6951, (q15_t)0x694d, (q15_t)0x694a, (q15_t)0x6946, (q15_t)0x6943, (q15_t)0x693f, (q15_t)0x693b, (q15_t)0x6938,
+ (q15_t)0x6934, (q15_t)0x6931, (q15_t)0x692d, (q15_t)0x692a, (q15_t)0x6926, (q15_t)0x6922, (q15_t)0x691f, (q15_t)0x691b,
+ (q15_t)0x6918, (q15_t)0x6914, (q15_t)0x6910, (q15_t)0x690d, (q15_t)0x6909, (q15_t)0x6906, (q15_t)0x6902, (q15_t)0x68fe,
+ (q15_t)0x68fb, (q15_t)0x68f7, (q15_t)0x68f4, (q15_t)0x68f0, (q15_t)0x68ec, (q15_t)0x68e9, (q15_t)0x68e5, (q15_t)0x68e2,
+ (q15_t)0x68de, (q15_t)0x68da, (q15_t)0x68d7, (q15_t)0x68d3, (q15_t)0x68d0, (q15_t)0x68cc, (q15_t)0x68c8, (q15_t)0x68c5,
+ (q15_t)0x68c1, (q15_t)0x68be, (q15_t)0x68ba, (q15_t)0x68b6, (q15_t)0x68b3, (q15_t)0x68af, (q15_t)0x68ac, (q15_t)0x68a8,
+ (q15_t)0x68a4, (q15_t)0x68a1, (q15_t)0x689d, (q15_t)0x6899, (q15_t)0x6896, (q15_t)0x6892, (q15_t)0x688f, (q15_t)0x688b,
+ (q15_t)0x6887, (q15_t)0x6884, (q15_t)0x6880, (q15_t)0x687c, (q15_t)0x6879, (q15_t)0x6875, (q15_t)0x6872, (q15_t)0x686e,
+ (q15_t)0x686a, (q15_t)0x6867, (q15_t)0x6863, (q15_t)0x685f, (q15_t)0x685c, (q15_t)0x6858, (q15_t)0x6854, (q15_t)0x6851,
+ (q15_t)0x684d, (q15_t)0x684a, (q15_t)0x6846, (q15_t)0x6842, (q15_t)0x683f, (q15_t)0x683b, (q15_t)0x6837, (q15_t)0x6834,
+ (q15_t)0x6830, (q15_t)0x682c, (q15_t)0x6829, (q15_t)0x6825, (q15_t)0x6821, (q15_t)0x681e, (q15_t)0x681a, (q15_t)0x6816,
+ (q15_t)0x6813, (q15_t)0x680f, (q15_t)0x680b, (q15_t)0x6808, (q15_t)0x6804, (q15_t)0x6800, (q15_t)0x67fd, (q15_t)0x67f9,
+ (q15_t)0x67f5, (q15_t)0x67f2, (q15_t)0x67ee, (q15_t)0x67ea, (q15_t)0x67e7, (q15_t)0x67e3, (q15_t)0x67df, (q15_t)0x67dc,
+ (q15_t)0x67d8, (q15_t)0x67d4, (q15_t)0x67d1, (q15_t)0x67cd, (q15_t)0x67c9, (q15_t)0x67c6, (q15_t)0x67c2, (q15_t)0x67be,
+ (q15_t)0x67bb, (q15_t)0x67b7, (q15_t)0x67b3, (q15_t)0x67b0, (q15_t)0x67ac, (q15_t)0x67a8, (q15_t)0x67a5, (q15_t)0x67a1,
+ (q15_t)0x679d, (q15_t)0x679a, (q15_t)0x6796, (q15_t)0x6792, (q15_t)0x678e, (q15_t)0x678b, (q15_t)0x6787, (q15_t)0x6783,
+ (q15_t)0x6780, (q15_t)0x677c, (q15_t)0x6778, (q15_t)0x6775, (q15_t)0x6771, (q15_t)0x676d, (q15_t)0x6769, (q15_t)0x6766,
+ (q15_t)0x6762, (q15_t)0x675e, (q15_t)0x675b, (q15_t)0x6757, (q15_t)0x6753, (q15_t)0x6750, (q15_t)0x674c, (q15_t)0x6748,
+ (q15_t)0x6744, (q15_t)0x6741, (q15_t)0x673d, (q15_t)0x6739, (q15_t)0x6736, (q15_t)0x6732, (q15_t)0x672e, (q15_t)0x672a,
+ (q15_t)0x6727, (q15_t)0x6723, (q15_t)0x671f, (q15_t)0x671c, (q15_t)0x6718, (q15_t)0x6714, (q15_t)0x6710, (q15_t)0x670d,
+ (q15_t)0x6709, (q15_t)0x6705, (q15_t)0x6701, (q15_t)0x66fe, (q15_t)0x66fa, (q15_t)0x66f6, (q15_t)0x66f3, (q15_t)0x66ef,
+ (q15_t)0x66eb, (q15_t)0x66e7, (q15_t)0x66e4, (q15_t)0x66e0, (q15_t)0x66dc, (q15_t)0x66d8, (q15_t)0x66d5, (q15_t)0x66d1,
+ (q15_t)0x66cd, (q15_t)0x66c9, (q15_t)0x66c6, (q15_t)0x66c2, (q15_t)0x66be, (q15_t)0x66ba, (q15_t)0x66b7, (q15_t)0x66b3,
+ (q15_t)0x66af, (q15_t)0x66ab, (q15_t)0x66a8, (q15_t)0x66a4, (q15_t)0x66a0, (q15_t)0x669c, (q15_t)0x6699, (q15_t)0x6695,
+ (q15_t)0x6691, (q15_t)0x668d, (q15_t)0x668a, (q15_t)0x6686, (q15_t)0x6682, (q15_t)0x667e, (q15_t)0x667b, (q15_t)0x6677,
+ (q15_t)0x6673, (q15_t)0x666f, (q15_t)0x666b, (q15_t)0x6668, (q15_t)0x6664, (q15_t)0x6660, (q15_t)0x665c, (q15_t)0x6659,
+ (q15_t)0x6655, (q15_t)0x6651, (q15_t)0x664d, (q15_t)0x664a, (q15_t)0x6646, (q15_t)0x6642, (q15_t)0x663e, (q15_t)0x663a,
+ (q15_t)0x6637, (q15_t)0x6633, (q15_t)0x662f, (q15_t)0x662b, (q15_t)0x6627, (q15_t)0x6624, (q15_t)0x6620, (q15_t)0x661c,
+ (q15_t)0x6618, (q15_t)0x6615, (q15_t)0x6611, (q15_t)0x660d, (q15_t)0x6609, (q15_t)0x6605, (q15_t)0x6602, (q15_t)0x65fe,
+ (q15_t)0x65fa, (q15_t)0x65f6, (q15_t)0x65f2, (q15_t)0x65ef, (q15_t)0x65eb, (q15_t)0x65e7, (q15_t)0x65e3, (q15_t)0x65df,
+ (q15_t)0x65dc, (q15_t)0x65d8, (q15_t)0x65d4, (q15_t)0x65d0, (q15_t)0x65cc, (q15_t)0x65c9, (q15_t)0x65c5, (q15_t)0x65c1,
+ (q15_t)0x65bd, (q15_t)0x65b9, (q15_t)0x65b5, (q15_t)0x65b2, (q15_t)0x65ae, (q15_t)0x65aa, (q15_t)0x65a6, (q15_t)0x65a2,
+ (q15_t)0x659f, (q15_t)0x659b, (q15_t)0x6597, (q15_t)0x6593, (q15_t)0x658f, (q15_t)0x658b, (q15_t)0x6588, (q15_t)0x6584,
+ (q15_t)0x6580, (q15_t)0x657c, (q15_t)0x6578, (q15_t)0x6574, (q15_t)0x6571, (q15_t)0x656d, (q15_t)0x6569, (q15_t)0x6565,
+ (q15_t)0x6561, (q15_t)0x655d, (q15_t)0x655a, (q15_t)0x6556, (q15_t)0x6552, (q15_t)0x654e, (q15_t)0x654a, (q15_t)0x6546,
+ (q15_t)0x6543, (q15_t)0x653f, (q15_t)0x653b, (q15_t)0x6537, (q15_t)0x6533, (q15_t)0x652f, (q15_t)0x652c, (q15_t)0x6528,
+ (q15_t)0x6524, (q15_t)0x6520, (q15_t)0x651c, (q15_t)0x6518, (q15_t)0x6514, (q15_t)0x6511, (q15_t)0x650d, (q15_t)0x6509,
+ (q15_t)0x6505, (q15_t)0x6501, (q15_t)0x64fd, (q15_t)0x64f9, (q15_t)0x64f6, (q15_t)0x64f2, (q15_t)0x64ee, (q15_t)0x64ea,
+ (q15_t)0x64e6, (q15_t)0x64e2, (q15_t)0x64de, (q15_t)0x64db, (q15_t)0x64d7, (q15_t)0x64d3, (q15_t)0x64cf, (q15_t)0x64cb,
+ (q15_t)0x64c7, (q15_t)0x64c3, (q15_t)0x64bf, (q15_t)0x64bc, (q15_t)0x64b8, (q15_t)0x64b4, (q15_t)0x64b0, (q15_t)0x64ac,
+ (q15_t)0x64a8, (q15_t)0x64a4, (q15_t)0x64a0, (q15_t)0x649c, (q15_t)0x6499, (q15_t)0x6495, (q15_t)0x6491, (q15_t)0x648d,
+ (q15_t)0x6489, (q15_t)0x6485, (q15_t)0x6481, (q15_t)0x647d, (q15_t)0x6479, (q15_t)0x6476, (q15_t)0x6472, (q15_t)0x646e,
+ (q15_t)0x646a, (q15_t)0x6466, (q15_t)0x6462, (q15_t)0x645e, (q15_t)0x645a, (q15_t)0x6456, (q15_t)0x6453, (q15_t)0x644f,
+ (q15_t)0x644b, (q15_t)0x6447, (q15_t)0x6443, (q15_t)0x643f, (q15_t)0x643b, (q15_t)0x6437, (q15_t)0x6433, (q15_t)0x642f,
+ (q15_t)0x642b, (q15_t)0x6428, (q15_t)0x6424, (q15_t)0x6420, (q15_t)0x641c, (q15_t)0x6418, (q15_t)0x6414, (q15_t)0x6410,
+ (q15_t)0x640c, (q15_t)0x6408, (q15_t)0x6404, (q15_t)0x6400, (q15_t)0x63fc, (q15_t)0x63f9, (q15_t)0x63f5, (q15_t)0x63f1,
+ (q15_t)0x63ed, (q15_t)0x63e9, (q15_t)0x63e5, (q15_t)0x63e1, (q15_t)0x63dd, (q15_t)0x63d9, (q15_t)0x63d5, (q15_t)0x63d1,
+ (q15_t)0x63cd, (q15_t)0x63c9, (q15_t)0x63c5, (q15_t)0x63c1, (q15_t)0x63be, (q15_t)0x63ba, (q15_t)0x63b6, (q15_t)0x63b2,
+ (q15_t)0x63ae, (q15_t)0x63aa, (q15_t)0x63a6, (q15_t)0x63a2, (q15_t)0x639e, (q15_t)0x639a, (q15_t)0x6396, (q15_t)0x6392,
+ (q15_t)0x638e, (q15_t)0x638a, (q15_t)0x6386, (q15_t)0x6382, (q15_t)0x637e, (q15_t)0x637a, (q15_t)0x6377, (q15_t)0x6373,
+ (q15_t)0x636f, (q15_t)0x636b, (q15_t)0x6367, (q15_t)0x6363, (q15_t)0x635f, (q15_t)0x635b, (q15_t)0x6357, (q15_t)0x6353,
+ (q15_t)0x634f, (q15_t)0x634b, (q15_t)0x6347, (q15_t)0x6343, (q15_t)0x633f, (q15_t)0x633b, (q15_t)0x6337, (q15_t)0x6333,
+ (q15_t)0x632f, (q15_t)0x632b, (q15_t)0x6327, (q15_t)0x6323, (q15_t)0x631f, (q15_t)0x631b, (q15_t)0x6317, (q15_t)0x6313,
+ (q15_t)0x630f, (q15_t)0x630b, (q15_t)0x6307, (q15_t)0x6303, (q15_t)0x62ff, (q15_t)0x62fb, (q15_t)0x62f7, (q15_t)0x62f3,
+ (q15_t)0x62f0, (q15_t)0x62ec, (q15_t)0x62e8, (q15_t)0x62e4, (q15_t)0x62e0, (q15_t)0x62dc, (q15_t)0x62d8, (q15_t)0x62d4,
+ (q15_t)0x62d0, (q15_t)0x62cc, (q15_t)0x62c8, (q15_t)0x62c4, (q15_t)0x62c0, (q15_t)0x62bc, (q15_t)0x62b8, (q15_t)0x62b4,
+ (q15_t)0x62b0, (q15_t)0x62ac, (q15_t)0x62a8, (q15_t)0x62a4, (q15_t)0x62a0, (q15_t)0x629c, (q15_t)0x6298, (q15_t)0x6294,
+ (q15_t)0x6290, (q15_t)0x628c, (q15_t)0x6288, (q15_t)0x6284, (q15_t)0x6280, (q15_t)0x627c, (q15_t)0x6278, (q15_t)0x6273,
+ (q15_t)0x626f, (q15_t)0x626b, (q15_t)0x6267, (q15_t)0x6263, (q15_t)0x625f, (q15_t)0x625b, (q15_t)0x6257, (q15_t)0x6253,
+ (q15_t)0x624f, (q15_t)0x624b, (q15_t)0x6247, (q15_t)0x6243, (q15_t)0x623f, (q15_t)0x623b, (q15_t)0x6237, (q15_t)0x6233,
+ (q15_t)0x622f, (q15_t)0x622b, (q15_t)0x6227, (q15_t)0x6223, (q15_t)0x621f, (q15_t)0x621b, (q15_t)0x6217, (q15_t)0x6213,
+ (q15_t)0x620f, (q15_t)0x620b, (q15_t)0x6207, (q15_t)0x6203, (q15_t)0x61ff, (q15_t)0x61fb, (q15_t)0x61f7, (q15_t)0x61f3,
+ (q15_t)0x61ee, (q15_t)0x61ea, (q15_t)0x61e6, (q15_t)0x61e2, (q15_t)0x61de, (q15_t)0x61da, (q15_t)0x61d6, (q15_t)0x61d2,
+ (q15_t)0x61ce, (q15_t)0x61ca, (q15_t)0x61c6, (q15_t)0x61c2, (q15_t)0x61be, (q15_t)0x61ba, (q15_t)0x61b6, (q15_t)0x61b2,
+ (q15_t)0x61ae, (q15_t)0x61aa, (q15_t)0x61a6, (q15_t)0x61a1, (q15_t)0x619d, (q15_t)0x6199, (q15_t)0x6195, (q15_t)0x6191,
+ (q15_t)0x618d, (q15_t)0x6189, (q15_t)0x6185, (q15_t)0x6181, (q15_t)0x617d, (q15_t)0x6179, (q15_t)0x6175, (q15_t)0x6171,
+ (q15_t)0x616d, (q15_t)0x6168, (q15_t)0x6164, (q15_t)0x6160, (q15_t)0x615c, (q15_t)0x6158, (q15_t)0x6154, (q15_t)0x6150,
+ (q15_t)0x614c, (q15_t)0x6148, (q15_t)0x6144, (q15_t)0x6140, (q15_t)0x613c, (q15_t)0x6137, (q15_t)0x6133, (q15_t)0x612f,
+ (q15_t)0x612b, (q15_t)0x6127, (q15_t)0x6123, (q15_t)0x611f, (q15_t)0x611b, (q15_t)0x6117, (q15_t)0x6113, (q15_t)0x610f,
+ (q15_t)0x610a, (q15_t)0x6106, (q15_t)0x6102, (q15_t)0x60fe, (q15_t)0x60fa, (q15_t)0x60f6, (q15_t)0x60f2, (q15_t)0x60ee,
+ (q15_t)0x60ea, (q15_t)0x60e6, (q15_t)0x60e1, (q15_t)0x60dd, (q15_t)0x60d9, (q15_t)0x60d5, (q15_t)0x60d1, (q15_t)0x60cd,
+ (q15_t)0x60c9, (q15_t)0x60c5, (q15_t)0x60c1, (q15_t)0x60bc, (q15_t)0x60b8, (q15_t)0x60b4, (q15_t)0x60b0, (q15_t)0x60ac,
+ (q15_t)0x60a8, (q15_t)0x60a4, (q15_t)0x60a0, (q15_t)0x609c, (q15_t)0x6097, (q15_t)0x6093, (q15_t)0x608f, (q15_t)0x608b,
+ (q15_t)0x6087, (q15_t)0x6083, (q15_t)0x607f, (q15_t)0x607b, (q15_t)0x6076, (q15_t)0x6072, (q15_t)0x606e, (q15_t)0x606a,
+ (q15_t)0x6066, (q15_t)0x6062, (q15_t)0x605e, (q15_t)0x6059, (q15_t)0x6055, (q15_t)0x6051, (q15_t)0x604d, (q15_t)0x6049,
+ (q15_t)0x6045, (q15_t)0x6041, (q15_t)0x603c, (q15_t)0x6038, (q15_t)0x6034, (q15_t)0x6030, (q15_t)0x602c, (q15_t)0x6028,
+ (q15_t)0x6024, (q15_t)0x601f, (q15_t)0x601b, (q15_t)0x6017, (q15_t)0x6013, (q15_t)0x600f, (q15_t)0x600b, (q15_t)0x6007,
+ (q15_t)0x6002, (q15_t)0x5ffe, (q15_t)0x5ffa, (q15_t)0x5ff6, (q15_t)0x5ff2, (q15_t)0x5fee, (q15_t)0x5fe9, (q15_t)0x5fe5,
+ (q15_t)0x5fe1, (q15_t)0x5fdd, (q15_t)0x5fd9, (q15_t)0x5fd5, (q15_t)0x5fd0, (q15_t)0x5fcc, (q15_t)0x5fc8, (q15_t)0x5fc4,
+ (q15_t)0x5fc0, (q15_t)0x5fbc, (q15_t)0x5fb7, (q15_t)0x5fb3, (q15_t)0x5faf, (q15_t)0x5fab, (q15_t)0x5fa7, (q15_t)0x5fa3,
+ (q15_t)0x5f9e, (q15_t)0x5f9a, (q15_t)0x5f96, (q15_t)0x5f92, (q15_t)0x5f8e, (q15_t)0x5f8a, (q15_t)0x5f85, (q15_t)0x5f81,
+ (q15_t)0x5f7d, (q15_t)0x5f79, (q15_t)0x5f75, (q15_t)0x5f70, (q15_t)0x5f6c, (q15_t)0x5f68, (q15_t)0x5f64, (q15_t)0x5f60,
+ (q15_t)0x5f5b, (q15_t)0x5f57, (q15_t)0x5f53, (q15_t)0x5f4f, (q15_t)0x5f4b, (q15_t)0x5f46, (q15_t)0x5f42, (q15_t)0x5f3e,
+ (q15_t)0x5f3a, (q15_t)0x5f36, (q15_t)0x5f31, (q15_t)0x5f2d, (q15_t)0x5f29, (q15_t)0x5f25, (q15_t)0x5f21, (q15_t)0x5f1c,
+ (q15_t)0x5f18, (q15_t)0x5f14, (q15_t)0x5f10, (q15_t)0x5f0c, (q15_t)0x5f07, (q15_t)0x5f03, (q15_t)0x5eff, (q15_t)0x5efb,
+ (q15_t)0x5ef7, (q15_t)0x5ef2, (q15_t)0x5eee, (q15_t)0x5eea, (q15_t)0x5ee6, (q15_t)0x5ee2, (q15_t)0x5edd, (q15_t)0x5ed9,
+ (q15_t)0x5ed5, (q15_t)0x5ed1, (q15_t)0x5ecc, (q15_t)0x5ec8, (q15_t)0x5ec4, (q15_t)0x5ec0, (q15_t)0x5ebc, (q15_t)0x5eb7,
+ (q15_t)0x5eb3, (q15_t)0x5eaf, (q15_t)0x5eab, (q15_t)0x5ea6, (q15_t)0x5ea2, (q15_t)0x5e9e, (q15_t)0x5e9a, (q15_t)0x5e95,
+ (q15_t)0x5e91, (q15_t)0x5e8d, (q15_t)0x5e89, (q15_t)0x5e85, (q15_t)0x5e80, (q15_t)0x5e7c, (q15_t)0x5e78, (q15_t)0x5e74,
+ (q15_t)0x5e6f, (q15_t)0x5e6b, (q15_t)0x5e67, (q15_t)0x5e63, (q15_t)0x5e5e, (q15_t)0x5e5a, (q15_t)0x5e56, (q15_t)0x5e52,
+ (q15_t)0x5e4d, (q15_t)0x5e49, (q15_t)0x5e45, (q15_t)0x5e41, (q15_t)0x5e3c, (q15_t)0x5e38, (q15_t)0x5e34, (q15_t)0x5e30,
+ (q15_t)0x5e2b, (q15_t)0x5e27, (q15_t)0x5e23, (q15_t)0x5e1f, (q15_t)0x5e1a, (q15_t)0x5e16, (q15_t)0x5e12, (q15_t)0x5e0e,
+ (q15_t)0x5e09, (q15_t)0x5e05, (q15_t)0x5e01, (q15_t)0x5dfd, (q15_t)0x5df8, (q15_t)0x5df4, (q15_t)0x5df0, (q15_t)0x5deb,
+ (q15_t)0x5de7, (q15_t)0x5de3, (q15_t)0x5ddf, (q15_t)0x5dda, (q15_t)0x5dd6, (q15_t)0x5dd2, (q15_t)0x5dce, (q15_t)0x5dc9,
+ (q15_t)0x5dc5, (q15_t)0x5dc1, (q15_t)0x5dbc, (q15_t)0x5db8, (q15_t)0x5db4, (q15_t)0x5db0, (q15_t)0x5dab, (q15_t)0x5da7,
+ (q15_t)0x5da3, (q15_t)0x5d9e, (q15_t)0x5d9a, (q15_t)0x5d96, (q15_t)0x5d92, (q15_t)0x5d8d, (q15_t)0x5d89, (q15_t)0x5d85,
+ (q15_t)0x5d80, (q15_t)0x5d7c, (q15_t)0x5d78, (q15_t)0x5d74, (q15_t)0x5d6f, (q15_t)0x5d6b, (q15_t)0x5d67, (q15_t)0x5d62,
+ (q15_t)0x5d5e, (q15_t)0x5d5a, (q15_t)0x5d55, (q15_t)0x5d51, (q15_t)0x5d4d, (q15_t)0x5d49, (q15_t)0x5d44, (q15_t)0x5d40,
+ (q15_t)0x5d3c, (q15_t)0x5d37, (q15_t)0x5d33, (q15_t)0x5d2f, (q15_t)0x5d2a, (q15_t)0x5d26, (q15_t)0x5d22, (q15_t)0x5d1e,
+ (q15_t)0x5d19, (q15_t)0x5d15, (q15_t)0x5d11, (q15_t)0x5d0c, (q15_t)0x5d08, (q15_t)0x5d04, (q15_t)0x5cff, (q15_t)0x5cfb,
+ (q15_t)0x5cf7, (q15_t)0x5cf2, (q15_t)0x5cee, (q15_t)0x5cea, (q15_t)0x5ce5, (q15_t)0x5ce1, (q15_t)0x5cdd, (q15_t)0x5cd8,
+ (q15_t)0x5cd4, (q15_t)0x5cd0, (q15_t)0x5ccb, (q15_t)0x5cc7, (q15_t)0x5cc3, (q15_t)0x5cbe, (q15_t)0x5cba, (q15_t)0x5cb6,
+ (q15_t)0x5cb1, (q15_t)0x5cad, (q15_t)0x5ca9, (q15_t)0x5ca4, (q15_t)0x5ca0, (q15_t)0x5c9c, (q15_t)0x5c97, (q15_t)0x5c93,
+ (q15_t)0x5c8f, (q15_t)0x5c8a, (q15_t)0x5c86, (q15_t)0x5c82, (q15_t)0x5c7d, (q15_t)0x5c79, (q15_t)0x5c75, (q15_t)0x5c70,
+ (q15_t)0x5c6c, (q15_t)0x5c68, (q15_t)0x5c63, (q15_t)0x5c5f, (q15_t)0x5c5b, (q15_t)0x5c56, (q15_t)0x5c52, (q15_t)0x5c4e,
+ (q15_t)0x5c49, (q15_t)0x5c45, (q15_t)0x5c41, (q15_t)0x5c3c, (q15_t)0x5c38, (q15_t)0x5c33, (q15_t)0x5c2f, (q15_t)0x5c2b,
+ (q15_t)0x5c26, (q15_t)0x5c22, (q15_t)0x5c1e, (q15_t)0x5c19, (q15_t)0x5c15, (q15_t)0x5c11, (q15_t)0x5c0c, (q15_t)0x5c08,
+ (q15_t)0x5c03, (q15_t)0x5bff, (q15_t)0x5bfb, (q15_t)0x5bf6, (q15_t)0x5bf2, (q15_t)0x5bee, (q15_t)0x5be9, (q15_t)0x5be5,
+ (q15_t)0x5be0, (q15_t)0x5bdc, (q15_t)0x5bd8, (q15_t)0x5bd3, (q15_t)0x5bcf, (q15_t)0x5bcb, (q15_t)0x5bc6, (q15_t)0x5bc2,
+ (q15_t)0x5bbd, (q15_t)0x5bb9, (q15_t)0x5bb5, (q15_t)0x5bb0, (q15_t)0x5bac, (q15_t)0x5ba8, (q15_t)0x5ba3, (q15_t)0x5b9f,
+ (q15_t)0x5b9a, (q15_t)0x5b96, (q15_t)0x5b92, (q15_t)0x5b8d, (q15_t)0x5b89, (q15_t)0x5b84, (q15_t)0x5b80, (q15_t)0x5b7c,
+ (q15_t)0x5b77, (q15_t)0x5b73, (q15_t)0x5b6e, (q15_t)0x5b6a, (q15_t)0x5b66, (q15_t)0x5b61, (q15_t)0x5b5d, (q15_t)0x5b58,
+ (q15_t)0x5b54, (q15_t)0x5b50, (q15_t)0x5b4b, (q15_t)0x5b47, (q15_t)0x5b42, (q15_t)0x5b3e, (q15_t)0x5b3a, (q15_t)0x5b35,
+ (q15_t)0x5b31, (q15_t)0x5b2c, (q15_t)0x5b28, (q15_t)0x5b24, (q15_t)0x5b1f, (q15_t)0x5b1b, (q15_t)0x5b16, (q15_t)0x5b12,
+ (q15_t)0x5b0e, (q15_t)0x5b09, (q15_t)0x5b05, (q15_t)0x5b00, (q15_t)0x5afc, (q15_t)0x5af7, (q15_t)0x5af3, (q15_t)0x5aef,
+ (q15_t)0x5aea, (q15_t)0x5ae6, (q15_t)0x5ae1, (q15_t)0x5add, (q15_t)0x5ad8, (q15_t)0x5ad4, (q15_t)0x5ad0, (q15_t)0x5acb,
+ (q15_t)0x5ac7, (q15_t)0x5ac2, (q15_t)0x5abe, (q15_t)0x5ab9, (q15_t)0x5ab5, (q15_t)0x5ab1, (q15_t)0x5aac, (q15_t)0x5aa8,
+ (q15_t)0x5aa3, (q15_t)0x5a9f, (q15_t)0x5a9a, (q15_t)0x5a96, (q15_t)0x5a92, (q15_t)0x5a8d, (q15_t)0x5a89, (q15_t)0x5a84,
+ (q15_t)0x5a80, (q15_t)0x5a7b, (q15_t)0x5a77, (q15_t)0x5a72, (q15_t)0x5a6e, (q15_t)0x5a6a, (q15_t)0x5a65, (q15_t)0x5a61,
+ (q15_t)0x5a5c, (q15_t)0x5a58, (q15_t)0x5a53, (q15_t)0x5a4f, (q15_t)0x5a4a, (q15_t)0x5a46, (q15_t)0x5a41, (q15_t)0x5a3d,
+ (q15_t)0x5a39, (q15_t)0x5a34, (q15_t)0x5a30, (q15_t)0x5a2b, (q15_t)0x5a27, (q15_t)0x5a22, (q15_t)0x5a1e, (q15_t)0x5a19,
+ (q15_t)0x5a15, (q15_t)0x5a10, (q15_t)0x5a0c, (q15_t)0x5a07, (q15_t)0x5a03, (q15_t)0x59ff, (q15_t)0x59fa, (q15_t)0x59f6,
+ (q15_t)0x59f1, (q15_t)0x59ed, (q15_t)0x59e8, (q15_t)0x59e4, (q15_t)0x59df, (q15_t)0x59db, (q15_t)0x59d6, (q15_t)0x59d2,
+ (q15_t)0x59cd, (q15_t)0x59c9, (q15_t)0x59c4, (q15_t)0x59c0, (q15_t)0x59bb, (q15_t)0x59b7, (q15_t)0x59b2, (q15_t)0x59ae,
+ (q15_t)0x59a9, (q15_t)0x59a5, (q15_t)0x59a1, (q15_t)0x599c, (q15_t)0x5998, (q15_t)0x5993, (q15_t)0x598f, (q15_t)0x598a,
+ (q15_t)0x5986, (q15_t)0x5981, (q15_t)0x597d, (q15_t)0x5978, (q15_t)0x5974, (q15_t)0x596f, (q15_t)0x596b, (q15_t)0x5966,
+ (q15_t)0x5962, (q15_t)0x595d, (q15_t)0x5959, (q15_t)0x5954, (q15_t)0x5950, (q15_t)0x594b, (q15_t)0x5947, (q15_t)0x5942,
+ (q15_t)0x593e, (q15_t)0x5939, (q15_t)0x5935, (q15_t)0x5930, (q15_t)0x592c, (q15_t)0x5927, (q15_t)0x5923, (q15_t)0x591e,
+ (q15_t)0x591a, (q15_t)0x5915, (q15_t)0x5911, (q15_t)0x590c, (q15_t)0x5908, (q15_t)0x5903, (q15_t)0x58fe, (q15_t)0x58fa,
+ (q15_t)0x58f5, (q15_t)0x58f1, (q15_t)0x58ec, (q15_t)0x58e8, (q15_t)0x58e3, (q15_t)0x58df, (q15_t)0x58da, (q15_t)0x58d6,
+ (q15_t)0x58d1, (q15_t)0x58cd, (q15_t)0x58c8, (q15_t)0x58c4, (q15_t)0x58bf, (q15_t)0x58bb, (q15_t)0x58b6, (q15_t)0x58b2,
+ (q15_t)0x58ad, (q15_t)0x58a9, (q15_t)0x58a4, (q15_t)0x589f, (q15_t)0x589b, (q15_t)0x5896, (q15_t)0x5892, (q15_t)0x588d,
+ (q15_t)0x5889, (q15_t)0x5884, (q15_t)0x5880, (q15_t)0x587b, (q15_t)0x5877, (q15_t)0x5872, (q15_t)0x586e, (q15_t)0x5869,
+ (q15_t)0x5864, (q15_t)0x5860, (q15_t)0x585b, (q15_t)0x5857, (q15_t)0x5852, (q15_t)0x584e, (q15_t)0x5849, (q15_t)0x5845,
+ (q15_t)0x5840, (q15_t)0x583c, (q15_t)0x5837, (q15_t)0x5832, (q15_t)0x582e, (q15_t)0x5829, (q15_t)0x5825, (q15_t)0x5820,
+ (q15_t)0x581c, (q15_t)0x5817, (q15_t)0x5813, (q15_t)0x580e, (q15_t)0x5809, (q15_t)0x5805, (q15_t)0x5800, (q15_t)0x57fc,
+ (q15_t)0x57f7, (q15_t)0x57f3, (q15_t)0x57ee, (q15_t)0x57e9, (q15_t)0x57e5, (q15_t)0x57e0, (q15_t)0x57dc, (q15_t)0x57d7,
+ (q15_t)0x57d3, (q15_t)0x57ce, (q15_t)0x57c9, (q15_t)0x57c5, (q15_t)0x57c0, (q15_t)0x57bc, (q15_t)0x57b7, (q15_t)0x57b3,
+ (q15_t)0x57ae, (q15_t)0x57a9, (q15_t)0x57a5, (q15_t)0x57a0, (q15_t)0x579c, (q15_t)0x5797, (q15_t)0x5793, (q15_t)0x578e,
+ (q15_t)0x5789, (q15_t)0x5785, (q15_t)0x5780, (q15_t)0x577c, (q15_t)0x5777, (q15_t)0x5772, (q15_t)0x576e, (q15_t)0x5769,
+ (q15_t)0x5765, (q15_t)0x5760, (q15_t)0x575c, (q15_t)0x5757, (q15_t)0x5752, (q15_t)0x574e, (q15_t)0x5749, (q15_t)0x5745,
+ (q15_t)0x5740, (q15_t)0x573b, (q15_t)0x5737, (q15_t)0x5732, (q15_t)0x572e, (q15_t)0x5729, (q15_t)0x5724, (q15_t)0x5720,
+ (q15_t)0x571b, (q15_t)0x5717, (q15_t)0x5712, (q15_t)0x570d, (q15_t)0x5709, (q15_t)0x5704, (q15_t)0x56ff, (q15_t)0x56fb,
+ (q15_t)0x56f6, (q15_t)0x56f2, (q15_t)0x56ed, (q15_t)0x56e8, (q15_t)0x56e4, (q15_t)0x56df, (q15_t)0x56db, (q15_t)0x56d6,
+ (q15_t)0x56d1, (q15_t)0x56cd, (q15_t)0x56c8, (q15_t)0x56c4, (q15_t)0x56bf, (q15_t)0x56ba, (q15_t)0x56b6, (q15_t)0x56b1,
+ (q15_t)0x56ac, (q15_t)0x56a8, (q15_t)0x56a3, (q15_t)0x569f, (q15_t)0x569a, (q15_t)0x5695, (q15_t)0x5691, (q15_t)0x568c,
+ (q15_t)0x5687, (q15_t)0x5683, (q15_t)0x567e, (q15_t)0x5679, (q15_t)0x5675, (q15_t)0x5670, (q15_t)0x566c, (q15_t)0x5667,
+ (q15_t)0x5662, (q15_t)0x565e, (q15_t)0x5659, (q15_t)0x5654, (q15_t)0x5650, (q15_t)0x564b, (q15_t)0x5646, (q15_t)0x5642,
+ (q15_t)0x563d, (q15_t)0x5639, (q15_t)0x5634, (q15_t)0x562f, (q15_t)0x562b, (q15_t)0x5626, (q15_t)0x5621, (q15_t)0x561d,
+ (q15_t)0x5618, (q15_t)0x5613, (q15_t)0x560f, (q15_t)0x560a, (q15_t)0x5605, (q15_t)0x5601, (q15_t)0x55fc, (q15_t)0x55f7,
+ (q15_t)0x55f3, (q15_t)0x55ee, (q15_t)0x55ea, (q15_t)0x55e5, (q15_t)0x55e0, (q15_t)0x55dc, (q15_t)0x55d7, (q15_t)0x55d2,
+ (q15_t)0x55ce, (q15_t)0x55c9, (q15_t)0x55c4, (q15_t)0x55c0, (q15_t)0x55bb, (q15_t)0x55b6, (q15_t)0x55b2, (q15_t)0x55ad,
+ (q15_t)0x55a8, (q15_t)0x55a4, (q15_t)0x559f, (q15_t)0x559a, (q15_t)0x5596, (q15_t)0x5591, (q15_t)0x558c, (q15_t)0x5588,
+ (q15_t)0x5583, (q15_t)0x557e, (q15_t)0x5579, (q15_t)0x5575, (q15_t)0x5570, (q15_t)0x556b, (q15_t)0x5567, (q15_t)0x5562,
+ (q15_t)0x555d, (q15_t)0x5559, (q15_t)0x5554, (q15_t)0x554f, (q15_t)0x554b, (q15_t)0x5546, (q15_t)0x5541, (q15_t)0x553d,
+ (q15_t)0x5538, (q15_t)0x5533, (q15_t)0x552f, (q15_t)0x552a, (q15_t)0x5525, (q15_t)0x5520, (q15_t)0x551c, (q15_t)0x5517,
+ (q15_t)0x5512, (q15_t)0x550e, (q15_t)0x5509, (q15_t)0x5504, (q15_t)0x5500, (q15_t)0x54fb, (q15_t)0x54f6, (q15_t)0x54f2,
+ (q15_t)0x54ed, (q15_t)0x54e8, (q15_t)0x54e3, (q15_t)0x54df, (q15_t)0x54da, (q15_t)0x54d5, (q15_t)0x54d1, (q15_t)0x54cc,
+ (q15_t)0x54c7, (q15_t)0x54c2, (q15_t)0x54be, (q15_t)0x54b9, (q15_t)0x54b4, (q15_t)0x54b0, (q15_t)0x54ab, (q15_t)0x54a6,
+ (q15_t)0x54a2, (q15_t)0x549d, (q15_t)0x5498, (q15_t)0x5493, (q15_t)0x548f, (q15_t)0x548a, (q15_t)0x5485, (q15_t)0x5480,
+ (q15_t)0x547c, (q15_t)0x5477, (q15_t)0x5472, (q15_t)0x546e, (q15_t)0x5469, (q15_t)0x5464, (q15_t)0x545f, (q15_t)0x545b,
+ (q15_t)0x5456, (q15_t)0x5451, (q15_t)0x544d, (q15_t)0x5448, (q15_t)0x5443, (q15_t)0x543e, (q15_t)0x543a, (q15_t)0x5435,
+ (q15_t)0x5430, (q15_t)0x542b, (q15_t)0x5427, (q15_t)0x5422, (q15_t)0x541d, (q15_t)0x5418, (q15_t)0x5414, (q15_t)0x540f,
+ (q15_t)0x540a, (q15_t)0x5406, (q15_t)0x5401, (q15_t)0x53fc, (q15_t)0x53f7, (q15_t)0x53f3, (q15_t)0x53ee, (q15_t)0x53e9,
+ (q15_t)0x53e4, (q15_t)0x53e0, (q15_t)0x53db, (q15_t)0x53d6, (q15_t)0x53d1, (q15_t)0x53cd, (q15_t)0x53c8, (q15_t)0x53c3,
+ (q15_t)0x53be, (q15_t)0x53ba, (q15_t)0x53b5, (q15_t)0x53b0, (q15_t)0x53ab, (q15_t)0x53a7, (q15_t)0x53a2, (q15_t)0x539d,
+ (q15_t)0x5398, (q15_t)0x5394, (q15_t)0x538f, (q15_t)0x538a, (q15_t)0x5385, (q15_t)0x5380, (q15_t)0x537c, (q15_t)0x5377,
+ (q15_t)0x5372, (q15_t)0x536d, (q15_t)0x5369, (q15_t)0x5364, (q15_t)0x535f, (q15_t)0x535a, (q15_t)0x5356, (q15_t)0x5351,
+ (q15_t)0x534c, (q15_t)0x5347, (q15_t)0x5343, (q15_t)0x533e, (q15_t)0x5339, (q15_t)0x5334, (q15_t)0x532f, (q15_t)0x532b,
+ (q15_t)0x5326, (q15_t)0x5321, (q15_t)0x531c, (q15_t)0x5318, (q15_t)0x5313, (q15_t)0x530e, (q15_t)0x5309, (q15_t)0x5304,
+ (q15_t)0x5300, (q15_t)0x52fb, (q15_t)0x52f6, (q15_t)0x52f1, (q15_t)0x52ec, (q15_t)0x52e8, (q15_t)0x52e3, (q15_t)0x52de,
+ (q15_t)0x52d9, (q15_t)0x52d5, (q15_t)0x52d0, (q15_t)0x52cb, (q15_t)0x52c6, (q15_t)0x52c1, (q15_t)0x52bd, (q15_t)0x52b8,
+ (q15_t)0x52b3, (q15_t)0x52ae, (q15_t)0x52a9, (q15_t)0x52a5, (q15_t)0x52a0, (q15_t)0x529b, (q15_t)0x5296, (q15_t)0x5291,
+ (q15_t)0x528d, (q15_t)0x5288, (q15_t)0x5283, (q15_t)0x527e, (q15_t)0x5279, (q15_t)0x5275, (q15_t)0x5270, (q15_t)0x526b,
+ (q15_t)0x5266, (q15_t)0x5261, (q15_t)0x525d, (q15_t)0x5258, (q15_t)0x5253, (q15_t)0x524e, (q15_t)0x5249, (q15_t)0x5244,
+ (q15_t)0x5240, (q15_t)0x523b, (q15_t)0x5236, (q15_t)0x5231, (q15_t)0x522c, (q15_t)0x5228, (q15_t)0x5223, (q15_t)0x521e,
+ (q15_t)0x5219, (q15_t)0x5214, (q15_t)0x520f, (q15_t)0x520b, (q15_t)0x5206, (q15_t)0x5201, (q15_t)0x51fc, (q15_t)0x51f7,
+ (q15_t)0x51f3, (q15_t)0x51ee, (q15_t)0x51e9, (q15_t)0x51e4, (q15_t)0x51df, (q15_t)0x51da, (q15_t)0x51d6, (q15_t)0x51d1,
+ (q15_t)0x51cc, (q15_t)0x51c7, (q15_t)0x51c2, (q15_t)0x51bd, (q15_t)0x51b9, (q15_t)0x51b4, (q15_t)0x51af, (q15_t)0x51aa,
+ (q15_t)0x51a5, (q15_t)0x51a0, (q15_t)0x519c, (q15_t)0x5197, (q15_t)0x5192, (q15_t)0x518d, (q15_t)0x5188, (q15_t)0x5183,
+ (q15_t)0x517e, (q15_t)0x517a, (q15_t)0x5175, (q15_t)0x5170, (q15_t)0x516b, (q15_t)0x5166, (q15_t)0x5161, (q15_t)0x515d,
+ (q15_t)0x5158, (q15_t)0x5153, (q15_t)0x514e, (q15_t)0x5149, (q15_t)0x5144, (q15_t)0x513f, (q15_t)0x513b, (q15_t)0x5136,
+ (q15_t)0x5131, (q15_t)0x512c, (q15_t)0x5127, (q15_t)0x5122, (q15_t)0x511d, (q15_t)0x5119, (q15_t)0x5114, (q15_t)0x510f,
+ (q15_t)0x510a, (q15_t)0x5105, (q15_t)0x5100, (q15_t)0x50fb, (q15_t)0x50f7, (q15_t)0x50f2, (q15_t)0x50ed, (q15_t)0x50e8,
+ (q15_t)0x50e3, (q15_t)0x50de, (q15_t)0x50d9, (q15_t)0x50d4, (q15_t)0x50d0, (q15_t)0x50cb, (q15_t)0x50c6, (q15_t)0x50c1,
+ (q15_t)0x50bc, (q15_t)0x50b7, (q15_t)0x50b2, (q15_t)0x50ad, (q15_t)0x50a9, (q15_t)0x50a4, (q15_t)0x509f, (q15_t)0x509a,
+ (q15_t)0x5095, (q15_t)0x5090, (q15_t)0x508b, (q15_t)0x5086, (q15_t)0x5082, (q15_t)0x507d, (q15_t)0x5078, (q15_t)0x5073,
+ (q15_t)0x506e, (q15_t)0x5069, (q15_t)0x5064, (q15_t)0x505f, (q15_t)0x505a, (q15_t)0x5056, (q15_t)0x5051, (q15_t)0x504c,
+ (q15_t)0x5047, (q15_t)0x5042, (q15_t)0x503d, (q15_t)0x5038, (q15_t)0x5033, (q15_t)0x502e, (q15_t)0x5029, (q15_t)0x5025,
+ (q15_t)0x5020, (q15_t)0x501b, (q15_t)0x5016, (q15_t)0x5011, (q15_t)0x500c, (q15_t)0x5007, (q15_t)0x5002, (q15_t)0x4ffd,
+ (q15_t)0x4ff8, (q15_t)0x4ff4, (q15_t)0x4fef, (q15_t)0x4fea, (q15_t)0x4fe5, (q15_t)0x4fe0, (q15_t)0x4fdb, (q15_t)0x4fd6,
+ (q15_t)0x4fd1, (q15_t)0x4fcc, (q15_t)0x4fc7, (q15_t)0x4fc2, (q15_t)0x4fbe, (q15_t)0x4fb9, (q15_t)0x4fb4, (q15_t)0x4faf,
+ (q15_t)0x4faa, (q15_t)0x4fa5, (q15_t)0x4fa0, (q15_t)0x4f9b, (q15_t)0x4f96, (q15_t)0x4f91, (q15_t)0x4f8c, (q15_t)0x4f87,
+ (q15_t)0x4f82, (q15_t)0x4f7e, (q15_t)0x4f79, (q15_t)0x4f74, (q15_t)0x4f6f, (q15_t)0x4f6a, (q15_t)0x4f65, (q15_t)0x4f60,
+ (q15_t)0x4f5b, (q15_t)0x4f56, (q15_t)0x4f51, (q15_t)0x4f4c, (q15_t)0x4f47, (q15_t)0x4f42, (q15_t)0x4f3d, (q15_t)0x4f39,
+ (q15_t)0x4f34, (q15_t)0x4f2f, (q15_t)0x4f2a, (q15_t)0x4f25, (q15_t)0x4f20, (q15_t)0x4f1b, (q15_t)0x4f16, (q15_t)0x4f11,
+ (q15_t)0x4f0c, (q15_t)0x4f07, (q15_t)0x4f02, (q15_t)0x4efd, (q15_t)0x4ef8, (q15_t)0x4ef3, (q15_t)0x4eee, (q15_t)0x4ee9,
+ (q15_t)0x4ee5, (q15_t)0x4ee0, (q15_t)0x4edb, (q15_t)0x4ed6, (q15_t)0x4ed1, (q15_t)0x4ecc, (q15_t)0x4ec7, (q15_t)0x4ec2,
+ (q15_t)0x4ebd, (q15_t)0x4eb8, (q15_t)0x4eb3, (q15_t)0x4eae, (q15_t)0x4ea9, (q15_t)0x4ea4, (q15_t)0x4e9f, (q15_t)0x4e9a,
+ (q15_t)0x4e95, (q15_t)0x4e90, (q15_t)0x4e8b, (q15_t)0x4e86, (q15_t)0x4e81, (q15_t)0x4e7c, (q15_t)0x4e78, (q15_t)0x4e73,
+ (q15_t)0x4e6e, (q15_t)0x4e69, (q15_t)0x4e64, (q15_t)0x4e5f, (q15_t)0x4e5a, (q15_t)0x4e55, (q15_t)0x4e50, (q15_t)0x4e4b,
+ (q15_t)0x4e46, (q15_t)0x4e41, (q15_t)0x4e3c, (q15_t)0x4e37, (q15_t)0x4e32, (q15_t)0x4e2d, (q15_t)0x4e28, (q15_t)0x4e23,
+ (q15_t)0x4e1e, (q15_t)0x4e19, (q15_t)0x4e14, (q15_t)0x4e0f, (q15_t)0x4e0a, (q15_t)0x4e05, (q15_t)0x4e00, (q15_t)0x4dfb,
+ (q15_t)0x4df6, (q15_t)0x4df1, (q15_t)0x4dec, (q15_t)0x4de7, (q15_t)0x4de2, (q15_t)0x4ddd, (q15_t)0x4dd8, (q15_t)0x4dd3,
+ (q15_t)0x4dce, (q15_t)0x4dc9, (q15_t)0x4dc4, (q15_t)0x4dbf, (q15_t)0x4dba, (q15_t)0x4db5, (q15_t)0x4db0, (q15_t)0x4dab,
+ (q15_t)0x4da6, (q15_t)0x4da1, (q15_t)0x4d9c, (q15_t)0x4d97, (q15_t)0x4d92, (q15_t)0x4d8d, (q15_t)0x4d88, (q15_t)0x4d83,
+ (q15_t)0x4d7e, (q15_t)0x4d79, (q15_t)0x4d74, (q15_t)0x4d6f, (q15_t)0x4d6a, (q15_t)0x4d65, (q15_t)0x4d60, (q15_t)0x4d5b,
+ (q15_t)0x4d56, (q15_t)0x4d51, (q15_t)0x4d4c, (q15_t)0x4d47, (q15_t)0x4d42, (q15_t)0x4d3d, (q15_t)0x4d38, (q15_t)0x4d33,
+ (q15_t)0x4d2e, (q15_t)0x4d29, (q15_t)0x4d24, (q15_t)0x4d1f, (q15_t)0x4d1a, (q15_t)0x4d15, (q15_t)0x4d10, (q15_t)0x4d0b,
+ (q15_t)0x4d06, (q15_t)0x4d01, (q15_t)0x4cfc, (q15_t)0x4cf7, (q15_t)0x4cf2, (q15_t)0x4ced, (q15_t)0x4ce8, (q15_t)0x4ce3,
+ (q15_t)0x4cde, (q15_t)0x4cd9, (q15_t)0x4cd4, (q15_t)0x4ccf, (q15_t)0x4cca, (q15_t)0x4cc5, (q15_t)0x4cc0, (q15_t)0x4cbb,
+ (q15_t)0x4cb6, (q15_t)0x4cb1, (q15_t)0x4cac, (q15_t)0x4ca7, (q15_t)0x4ca2, (q15_t)0x4c9d, (q15_t)0x4c98, (q15_t)0x4c93,
+ (q15_t)0x4c8e, (q15_t)0x4c88, (q15_t)0x4c83, (q15_t)0x4c7e, (q15_t)0x4c79, (q15_t)0x4c74, (q15_t)0x4c6f, (q15_t)0x4c6a,
+ (q15_t)0x4c65, (q15_t)0x4c60, (q15_t)0x4c5b, (q15_t)0x4c56, (q15_t)0x4c51, (q15_t)0x4c4c, (q15_t)0x4c47, (q15_t)0x4c42,
+ (q15_t)0x4c3d, (q15_t)0x4c38, (q15_t)0x4c33, (q15_t)0x4c2e, (q15_t)0x4c29, (q15_t)0x4c24, (q15_t)0x4c1f, (q15_t)0x4c1a,
+ (q15_t)0x4c14, (q15_t)0x4c0f, (q15_t)0x4c0a, (q15_t)0x4c05, (q15_t)0x4c00, (q15_t)0x4bfb, (q15_t)0x4bf6, (q15_t)0x4bf1,
+ (q15_t)0x4bec, (q15_t)0x4be7, (q15_t)0x4be2, (q15_t)0x4bdd, (q15_t)0x4bd8, (q15_t)0x4bd3, (q15_t)0x4bce, (q15_t)0x4bc9,
+ (q15_t)0x4bc4, (q15_t)0x4bbe, (q15_t)0x4bb9, (q15_t)0x4bb4, (q15_t)0x4baf, (q15_t)0x4baa, (q15_t)0x4ba5, (q15_t)0x4ba0,
+ (q15_t)0x4b9b, (q15_t)0x4b96, (q15_t)0x4b91, (q15_t)0x4b8c, (q15_t)0x4b87, (q15_t)0x4b82, (q15_t)0x4b7d, (q15_t)0x4b77,
+ (q15_t)0x4b72, (q15_t)0x4b6d, (q15_t)0x4b68, (q15_t)0x4b63, (q15_t)0x4b5e, (q15_t)0x4b59, (q15_t)0x4b54, (q15_t)0x4b4f,
+ (q15_t)0x4b4a, (q15_t)0x4b45, (q15_t)0x4b40, (q15_t)0x4b3b, (q15_t)0x4b35, (q15_t)0x4b30, (q15_t)0x4b2b, (q15_t)0x4b26,
+ (q15_t)0x4b21, (q15_t)0x4b1c, (q15_t)0x4b17, (q15_t)0x4b12, (q15_t)0x4b0d, (q15_t)0x4b08, (q15_t)0x4b03, (q15_t)0x4afd,
+ (q15_t)0x4af8, (q15_t)0x4af3, (q15_t)0x4aee, (q15_t)0x4ae9, (q15_t)0x4ae4, (q15_t)0x4adf, (q15_t)0x4ada, (q15_t)0x4ad5,
+ (q15_t)0x4ad0, (q15_t)0x4acb, (q15_t)0x4ac5, (q15_t)0x4ac0, (q15_t)0x4abb, (q15_t)0x4ab6, (q15_t)0x4ab1, (q15_t)0x4aac,
+ (q15_t)0x4aa7, (q15_t)0x4aa2, (q15_t)0x4a9d, (q15_t)0x4a97, (q15_t)0x4a92, (q15_t)0x4a8d, (q15_t)0x4a88, (q15_t)0x4a83,
+ (q15_t)0x4a7e, (q15_t)0x4a79, (q15_t)0x4a74, (q15_t)0x4a6f, (q15_t)0x4a6a, (q15_t)0x4a64, (q15_t)0x4a5f, (q15_t)0x4a5a,
+ (q15_t)0x4a55, (q15_t)0x4a50, (q15_t)0x4a4b, (q15_t)0x4a46, (q15_t)0x4a41, (q15_t)0x4a3b, (q15_t)0x4a36, (q15_t)0x4a31,
+ (q15_t)0x4a2c, (q15_t)0x4a27, (q15_t)0x4a22, (q15_t)0x4a1d, (q15_t)0x4a18, (q15_t)0x4a12, (q15_t)0x4a0d, (q15_t)0x4a08,
+ (q15_t)0x4a03, (q15_t)0x49fe, (q15_t)0x49f9, (q15_t)0x49f4, (q15_t)0x49ef, (q15_t)0x49e9, (q15_t)0x49e4, (q15_t)0x49df,
+ (q15_t)0x49da, (q15_t)0x49d5, (q15_t)0x49d0, (q15_t)0x49cb, (q15_t)0x49c6, (q15_t)0x49c0, (q15_t)0x49bb, (q15_t)0x49b6,
+ (q15_t)0x49b1, (q15_t)0x49ac, (q15_t)0x49a7, (q15_t)0x49a2, (q15_t)0x499c, (q15_t)0x4997, (q15_t)0x4992, (q15_t)0x498d,
+ (q15_t)0x4988, (q15_t)0x4983, (q15_t)0x497e, (q15_t)0x4978, (q15_t)0x4973, (q15_t)0x496e, (q15_t)0x4969, (q15_t)0x4964,
+ (q15_t)0x495f, (q15_t)0x495a, (q15_t)0x4954, (q15_t)0x494f, (q15_t)0x494a, (q15_t)0x4945, (q15_t)0x4940, (q15_t)0x493b,
+ (q15_t)0x4936, (q15_t)0x4930, (q15_t)0x492b, (q15_t)0x4926, (q15_t)0x4921, (q15_t)0x491c, (q15_t)0x4917, (q15_t)0x4911,
+ (q15_t)0x490c, (q15_t)0x4907, (q15_t)0x4902, (q15_t)0x48fd, (q15_t)0x48f8, (q15_t)0x48f2, (q15_t)0x48ed, (q15_t)0x48e8,
+ (q15_t)0x48e3, (q15_t)0x48de, (q15_t)0x48d9, (q15_t)0x48d3, (q15_t)0x48ce, (q15_t)0x48c9, (q15_t)0x48c4, (q15_t)0x48bf,
+ (q15_t)0x48ba, (q15_t)0x48b4, (q15_t)0x48af, (q15_t)0x48aa, (q15_t)0x48a5, (q15_t)0x48a0, (q15_t)0x489b, (q15_t)0x4895,
+ (q15_t)0x4890, (q15_t)0x488b, (q15_t)0x4886, (q15_t)0x4881, (q15_t)0x487c, (q15_t)0x4876, (q15_t)0x4871, (q15_t)0x486c,
+ (q15_t)0x4867, (q15_t)0x4862, (q15_t)0x485c, (q15_t)0x4857, (q15_t)0x4852, (q15_t)0x484d, (q15_t)0x4848, (q15_t)0x4843,
+ (q15_t)0x483d, (q15_t)0x4838, (q15_t)0x4833, (q15_t)0x482e, (q15_t)0x4829, (q15_t)0x4823, (q15_t)0x481e, (q15_t)0x4819,
+ (q15_t)0x4814, (q15_t)0x480f, (q15_t)0x4809, (q15_t)0x4804, (q15_t)0x47ff, (q15_t)0x47fa, (q15_t)0x47f5, (q15_t)0x47ef,
+ (q15_t)0x47ea, (q15_t)0x47e5, (q15_t)0x47e0, (q15_t)0x47db, (q15_t)0x47d5, (q15_t)0x47d0, (q15_t)0x47cb, (q15_t)0x47c6,
+ (q15_t)0x47c1, (q15_t)0x47bb, (q15_t)0x47b6, (q15_t)0x47b1, (q15_t)0x47ac, (q15_t)0x47a7, (q15_t)0x47a1, (q15_t)0x479c,
+ (q15_t)0x4797, (q15_t)0x4792, (q15_t)0x478d, (q15_t)0x4787, (q15_t)0x4782, (q15_t)0x477d, (q15_t)0x4778, (q15_t)0x4773,
+ (q15_t)0x476d, (q15_t)0x4768, (q15_t)0x4763, (q15_t)0x475e, (q15_t)0x4758, (q15_t)0x4753, (q15_t)0x474e, (q15_t)0x4749,
+ (q15_t)0x4744, (q15_t)0x473e, (q15_t)0x4739, (q15_t)0x4734, (q15_t)0x472f, (q15_t)0x4729, (q15_t)0x4724, (q15_t)0x471f,
+ (q15_t)0x471a, (q15_t)0x4715, (q15_t)0x470f, (q15_t)0x470a, (q15_t)0x4705, (q15_t)0x4700, (q15_t)0x46fa, (q15_t)0x46f5,
+ (q15_t)0x46f0, (q15_t)0x46eb, (q15_t)0x46e6, (q15_t)0x46e0, (q15_t)0x46db, (q15_t)0x46d6, (q15_t)0x46d1, (q15_t)0x46cb,
+ (q15_t)0x46c6, (q15_t)0x46c1, (q15_t)0x46bc, (q15_t)0x46b6, (q15_t)0x46b1, (q15_t)0x46ac, (q15_t)0x46a7, (q15_t)0x46a1,
+ (q15_t)0x469c, (q15_t)0x4697, (q15_t)0x4692, (q15_t)0x468d, (q15_t)0x4687, (q15_t)0x4682, (q15_t)0x467d, (q15_t)0x4678,
+ (q15_t)0x4672, (q15_t)0x466d, (q15_t)0x4668, (q15_t)0x4663, (q15_t)0x465d, (q15_t)0x4658, (q15_t)0x4653, (q15_t)0x464e,
+ (q15_t)0x4648, (q15_t)0x4643, (q15_t)0x463e, (q15_t)0x4639, (q15_t)0x4633, (q15_t)0x462e, (q15_t)0x4629, (q15_t)0x4624,
+ (q15_t)0x461e, (q15_t)0x4619, (q15_t)0x4614, (q15_t)0x460e, (q15_t)0x4609, (q15_t)0x4604, (q15_t)0x45ff, (q15_t)0x45f9,
+ (q15_t)0x45f4, (q15_t)0x45ef, (q15_t)0x45ea, (q15_t)0x45e4, (q15_t)0x45df, (q15_t)0x45da, (q15_t)0x45d5, (q15_t)0x45cf,
+ (q15_t)0x45ca, (q15_t)0x45c5, (q15_t)0x45c0, (q15_t)0x45ba, (q15_t)0x45b5, (q15_t)0x45b0, (q15_t)0x45aa, (q15_t)0x45a5,
+ (q15_t)0x45a0, (q15_t)0x459b, (q15_t)0x4595, (q15_t)0x4590, (q15_t)0x458b, (q15_t)0x4586, (q15_t)0x4580, (q15_t)0x457b,
+ (q15_t)0x4576, (q15_t)0x4570, (q15_t)0x456b, (q15_t)0x4566, (q15_t)0x4561, (q15_t)0x455b, (q15_t)0x4556, (q15_t)0x4551,
+ (q15_t)0x454b, (q15_t)0x4546, (q15_t)0x4541, (q15_t)0x453c, (q15_t)0x4536, (q15_t)0x4531, (q15_t)0x452c, (q15_t)0x4526,
+ (q15_t)0x4521, (q15_t)0x451c, (q15_t)0x4517, (q15_t)0x4511, (q15_t)0x450c, (q15_t)0x4507, (q15_t)0x4501, (q15_t)0x44fc,
+ (q15_t)0x44f7, (q15_t)0x44f2, (q15_t)0x44ec, (q15_t)0x44e7, (q15_t)0x44e2, (q15_t)0x44dc, (q15_t)0x44d7, (q15_t)0x44d2,
+ (q15_t)0x44cd, (q15_t)0x44c7, (q15_t)0x44c2, (q15_t)0x44bd, (q15_t)0x44b7, (q15_t)0x44b2, (q15_t)0x44ad, (q15_t)0x44a7,
+ (q15_t)0x44a2, (q15_t)0x449d, (q15_t)0x4497, (q15_t)0x4492, (q15_t)0x448d, (q15_t)0x4488, (q15_t)0x4482, (q15_t)0x447d,
+ (q15_t)0x4478, (q15_t)0x4472, (q15_t)0x446d, (q15_t)0x4468, (q15_t)0x4462, (q15_t)0x445d, (q15_t)0x4458, (q15_t)0x4452,
+ (q15_t)0x444d, (q15_t)0x4448, (q15_t)0x4443, (q15_t)0x443d, (q15_t)0x4438, (q15_t)0x4433, (q15_t)0x442d, (q15_t)0x4428,
+ (q15_t)0x4423, (q15_t)0x441d, (q15_t)0x4418, (q15_t)0x4413, (q15_t)0x440d, (q15_t)0x4408, (q15_t)0x4403, (q15_t)0x43fd,
+ (q15_t)0x43f8, (q15_t)0x43f3, (q15_t)0x43ed, (q15_t)0x43e8, (q15_t)0x43e3, (q15_t)0x43dd, (q15_t)0x43d8, (q15_t)0x43d3,
+ (q15_t)0x43cd, (q15_t)0x43c8, (q15_t)0x43c3, (q15_t)0x43bd, (q15_t)0x43b8, (q15_t)0x43b3, (q15_t)0x43ad, (q15_t)0x43a8,
+ (q15_t)0x43a3, (q15_t)0x439d, (q15_t)0x4398, (q15_t)0x4393, (q15_t)0x438d, (q15_t)0x4388, (q15_t)0x4383, (q15_t)0x437d,
+ (q15_t)0x4378, (q15_t)0x4373, (q15_t)0x436d, (q15_t)0x4368, (q15_t)0x4363, (q15_t)0x435d, (q15_t)0x4358, (q15_t)0x4353,
+ (q15_t)0x434d, (q15_t)0x4348, (q15_t)0x4343, (q15_t)0x433d, (q15_t)0x4338, (q15_t)0x4333, (q15_t)0x432d, (q15_t)0x4328,
+ (q15_t)0x4323, (q15_t)0x431d, (q15_t)0x4318, (q15_t)0x4313, (q15_t)0x430d, (q15_t)0x4308, (q15_t)0x4302, (q15_t)0x42fd,
+ (q15_t)0x42f8, (q15_t)0x42f2, (q15_t)0x42ed, (q15_t)0x42e8, (q15_t)0x42e2, (q15_t)0x42dd, (q15_t)0x42d8, (q15_t)0x42d2,
+ (q15_t)0x42cd, (q15_t)0x42c8, (q15_t)0x42c2, (q15_t)0x42bd, (q15_t)0x42b7, (q15_t)0x42b2, (q15_t)0x42ad, (q15_t)0x42a7,
+ (q15_t)0x42a2, (q15_t)0x429d, (q15_t)0x4297, (q15_t)0x4292, (q15_t)0x428d, (q15_t)0x4287, (q15_t)0x4282, (q15_t)0x427c,
+ (q15_t)0x4277, (q15_t)0x4272, (q15_t)0x426c, (q15_t)0x4267, (q15_t)0x4262, (q15_t)0x425c, (q15_t)0x4257, (q15_t)0x4251,
+ (q15_t)0x424c, (q15_t)0x4247, (q15_t)0x4241, (q15_t)0x423c, (q15_t)0x4237, (q15_t)0x4231, (q15_t)0x422c, (q15_t)0x4226,
+ (q15_t)0x4221, (q15_t)0x421c, (q15_t)0x4216, (q15_t)0x4211, (q15_t)0x420c, (q15_t)0x4206, (q15_t)0x4201, (q15_t)0x41fb,
+ (q15_t)0x41f6, (q15_t)0x41f1, (q15_t)0x41eb, (q15_t)0x41e6, (q15_t)0x41e0, (q15_t)0x41db, (q15_t)0x41d6, (q15_t)0x41d0,
+ (q15_t)0x41cb, (q15_t)0x41c6, (q15_t)0x41c0, (q15_t)0x41bb, (q15_t)0x41b5, (q15_t)0x41b0, (q15_t)0x41ab, (q15_t)0x41a5,
+ (q15_t)0x41a0, (q15_t)0x419a, (q15_t)0x4195, (q15_t)0x4190, (q15_t)0x418a, (q15_t)0x4185, (q15_t)0x417f, (q15_t)0x417a,
+ (q15_t)0x4175, (q15_t)0x416f, (q15_t)0x416a, (q15_t)0x4164, (q15_t)0x415f, (q15_t)0x415a, (q15_t)0x4154, (q15_t)0x414f,
+ (q15_t)0x4149, (q15_t)0x4144, (q15_t)0x413f, (q15_t)0x4139, (q15_t)0x4134, (q15_t)0x412e, (q15_t)0x4129, (q15_t)0x4124,
+ (q15_t)0x411e, (q15_t)0x4119, (q15_t)0x4113, (q15_t)0x410e, (q15_t)0x4108, (q15_t)0x4103, (q15_t)0x40fe, (q15_t)0x40f8,
+ (q15_t)0x40f3, (q15_t)0x40ed, (q15_t)0x40e8, (q15_t)0x40e3, (q15_t)0x40dd, (q15_t)0x40d8, (q15_t)0x40d2, (q15_t)0x40cd,
+ (q15_t)0x40c8, (q15_t)0x40c2, (q15_t)0x40bd, (q15_t)0x40b7, (q15_t)0x40b2, (q15_t)0x40ac, (q15_t)0x40a7, (q15_t)0x40a2,
+ (q15_t)0x409c, (q15_t)0x4097, (q15_t)0x4091, (q15_t)0x408c, (q15_t)0x4086, (q15_t)0x4081, (q15_t)0x407c, (q15_t)0x4076,
+ (q15_t)0x4071, (q15_t)0x406b, (q15_t)0x4066, (q15_t)0x4060, (q15_t)0x405b, (q15_t)0x4056, (q15_t)0x4050, (q15_t)0x404b,
+ (q15_t)0x4045, (q15_t)0x4040, (q15_t)0x403a, (q15_t)0x4035, (q15_t)0x4030, (q15_t)0x402a, (q15_t)0x4025, (q15_t)0x401f,
+ (q15_t)0x401a, (q15_t)0x4014, (q15_t)0x400f, (q15_t)0x4009, (q15_t)0x4004, (q15_t)0x3fff, (q15_t)0x3ff9, (q15_t)0x3ff4,
+ (q15_t)0x3fee, (q15_t)0x3fe9, (q15_t)0x3fe3, (q15_t)0x3fde, (q15_t)0x3fd8, (q15_t)0x3fd3, (q15_t)0x3fce, (q15_t)0x3fc8,
+ (q15_t)0x3fc3, (q15_t)0x3fbd, (q15_t)0x3fb8, (q15_t)0x3fb2, (q15_t)0x3fad, (q15_t)0x3fa7, (q15_t)0x3fa2, (q15_t)0x3f9d,
+ (q15_t)0x3f97, (q15_t)0x3f92, (q15_t)0x3f8c, (q15_t)0x3f87, (q15_t)0x3f81, (q15_t)0x3f7c, (q15_t)0x3f76, (q15_t)0x3f71,
+ (q15_t)0x3f6b, (q15_t)0x3f66, (q15_t)0x3f61, (q15_t)0x3f5b, (q15_t)0x3f56, (q15_t)0x3f50, (q15_t)0x3f4b, (q15_t)0x3f45,
+ (q15_t)0x3f40, (q15_t)0x3f3a, (q15_t)0x3f35, (q15_t)0x3f2f, (q15_t)0x3f2a, (q15_t)0x3f24, (q15_t)0x3f1f, (q15_t)0x3f1a,
+ (q15_t)0x3f14, (q15_t)0x3f0f, (q15_t)0x3f09, (q15_t)0x3f04, (q15_t)0x3efe, (q15_t)0x3ef9, (q15_t)0x3ef3, (q15_t)0x3eee,
+ (q15_t)0x3ee8, (q15_t)0x3ee3, (q15_t)0x3edd, (q15_t)0x3ed8, (q15_t)0x3ed2, (q15_t)0x3ecd, (q15_t)0x3ec7, (q15_t)0x3ec2,
+ (q15_t)0x3ebd, (q15_t)0x3eb7, (q15_t)0x3eb2, (q15_t)0x3eac, (q15_t)0x3ea7, (q15_t)0x3ea1, (q15_t)0x3e9c, (q15_t)0x3e96,
+ (q15_t)0x3e91, (q15_t)0x3e8b, (q15_t)0x3e86, (q15_t)0x3e80, (q15_t)0x3e7b, (q15_t)0x3e75, (q15_t)0x3e70, (q15_t)0x3e6a,
+ (q15_t)0x3e65, (q15_t)0x3e5f, (q15_t)0x3e5a, (q15_t)0x3e54, (q15_t)0x3e4f, (q15_t)0x3e49, (q15_t)0x3e44, (q15_t)0x3e3e,
+ (q15_t)0x3e39, (q15_t)0x3e33, (q15_t)0x3e2e, (q15_t)0x3e28, (q15_t)0x3e23, (q15_t)0x3e1d, (q15_t)0x3e18, (q15_t)0x3e12,
+ (q15_t)0x3e0d, (q15_t)0x3e07, (q15_t)0x3e02, (q15_t)0x3dfc, (q15_t)0x3df7, (q15_t)0x3df1, (q15_t)0x3dec, (q15_t)0x3de6,
+ (q15_t)0x3de1, (q15_t)0x3ddb, (q15_t)0x3dd6, (q15_t)0x3dd0, (q15_t)0x3dcb, (q15_t)0x3dc5, (q15_t)0x3dc0, (q15_t)0x3dba,
+ (q15_t)0x3db5, (q15_t)0x3daf, (q15_t)0x3daa, (q15_t)0x3da4, (q15_t)0x3d9f, (q15_t)0x3d99, (q15_t)0x3d94, (q15_t)0x3d8e,
+ (q15_t)0x3d89, (q15_t)0x3d83, (q15_t)0x3d7e, (q15_t)0x3d78, (q15_t)0x3d73, (q15_t)0x3d6d, (q15_t)0x3d68, (q15_t)0x3d62,
+ (q15_t)0x3d5d, (q15_t)0x3d57, (q15_t)0x3d52, (q15_t)0x3d4c, (q15_t)0x3d47, (q15_t)0x3d41, (q15_t)0x3d3c, (q15_t)0x3d36,
+ (q15_t)0x3d31, (q15_t)0x3d2b, (q15_t)0x3d26, (q15_t)0x3d20, (q15_t)0x3d1b, (q15_t)0x3d15, (q15_t)0x3d10, (q15_t)0x3d0a,
+ (q15_t)0x3d04, (q15_t)0x3cff, (q15_t)0x3cf9, (q15_t)0x3cf4, (q15_t)0x3cee, (q15_t)0x3ce9, (q15_t)0x3ce3, (q15_t)0x3cde,
+ (q15_t)0x3cd8, (q15_t)0x3cd3, (q15_t)0x3ccd, (q15_t)0x3cc8, (q15_t)0x3cc2, (q15_t)0x3cbd, (q15_t)0x3cb7, (q15_t)0x3cb2,
+ (q15_t)0x3cac, (q15_t)0x3ca7, (q15_t)0x3ca1, (q15_t)0x3c9b, (q15_t)0x3c96, (q15_t)0x3c90, (q15_t)0x3c8b, (q15_t)0x3c85,
+ (q15_t)0x3c80, (q15_t)0x3c7a, (q15_t)0x3c75, (q15_t)0x3c6f, (q15_t)0x3c6a, (q15_t)0x3c64, (q15_t)0x3c5f, (q15_t)0x3c59,
+ (q15_t)0x3c53, (q15_t)0x3c4e, (q15_t)0x3c48, (q15_t)0x3c43, (q15_t)0x3c3d, (q15_t)0x3c38, (q15_t)0x3c32, (q15_t)0x3c2d,
+ (q15_t)0x3c27, (q15_t)0x3c22, (q15_t)0x3c1c, (q15_t)0x3c16, (q15_t)0x3c11, (q15_t)0x3c0b, (q15_t)0x3c06, (q15_t)0x3c00,
+ (q15_t)0x3bfb, (q15_t)0x3bf5, (q15_t)0x3bf0, (q15_t)0x3bea, (q15_t)0x3be5, (q15_t)0x3bdf, (q15_t)0x3bd9, (q15_t)0x3bd4,
+ (q15_t)0x3bce, (q15_t)0x3bc9, (q15_t)0x3bc3, (q15_t)0x3bbe, (q15_t)0x3bb8, (q15_t)0x3bb3, (q15_t)0x3bad, (q15_t)0x3ba7,
+ (q15_t)0x3ba2, (q15_t)0x3b9c, (q15_t)0x3b97, (q15_t)0x3b91, (q15_t)0x3b8c, (q15_t)0x3b86, (q15_t)0x3b80, (q15_t)0x3b7b,
+ (q15_t)0x3b75, (q15_t)0x3b70, (q15_t)0x3b6a, (q15_t)0x3b65, (q15_t)0x3b5f, (q15_t)0x3b5a, (q15_t)0x3b54, (q15_t)0x3b4e,
+ (q15_t)0x3b49, (q15_t)0x3b43, (q15_t)0x3b3e, (q15_t)0x3b38, (q15_t)0x3b33, (q15_t)0x3b2d, (q15_t)0x3b27, (q15_t)0x3b22,
+ (q15_t)0x3b1c, (q15_t)0x3b17, (q15_t)0x3b11, (q15_t)0x3b0c, (q15_t)0x3b06, (q15_t)0x3b00, (q15_t)0x3afb, (q15_t)0x3af5,
+ (q15_t)0x3af0, (q15_t)0x3aea, (q15_t)0x3ae4, (q15_t)0x3adf, (q15_t)0x3ad9, (q15_t)0x3ad4, (q15_t)0x3ace, (q15_t)0x3ac9,
+ (q15_t)0x3ac3, (q15_t)0x3abd, (q15_t)0x3ab8, (q15_t)0x3ab2, (q15_t)0x3aad, (q15_t)0x3aa7, (q15_t)0x3aa2, (q15_t)0x3a9c,
+ (q15_t)0x3a96, (q15_t)0x3a91, (q15_t)0x3a8b, (q15_t)0x3a86, (q15_t)0x3a80, (q15_t)0x3a7a, (q15_t)0x3a75, (q15_t)0x3a6f,
+ (q15_t)0x3a6a, (q15_t)0x3a64, (q15_t)0x3a5e, (q15_t)0x3a59, (q15_t)0x3a53, (q15_t)0x3a4e, (q15_t)0x3a48, (q15_t)0x3a42,
+ (q15_t)0x3a3d, (q15_t)0x3a37, (q15_t)0x3a32, (q15_t)0x3a2c, (q15_t)0x3a26, (q15_t)0x3a21, (q15_t)0x3a1b, (q15_t)0x3a16,
+ (q15_t)0x3a10, (q15_t)0x3a0b, (q15_t)0x3a05, (q15_t)0x39ff, (q15_t)0x39fa, (q15_t)0x39f4, (q15_t)0x39ee, (q15_t)0x39e9,
+ (q15_t)0x39e3, (q15_t)0x39de, (q15_t)0x39d8, (q15_t)0x39d2, (q15_t)0x39cd, (q15_t)0x39c7, (q15_t)0x39c2, (q15_t)0x39bc,
+ (q15_t)0x39b6, (q15_t)0x39b1, (q15_t)0x39ab, (q15_t)0x39a6, (q15_t)0x39a0, (q15_t)0x399a, (q15_t)0x3995, (q15_t)0x398f,
+ (q15_t)0x398a, (q15_t)0x3984, (q15_t)0x397e, (q15_t)0x3979, (q15_t)0x3973, (q15_t)0x396d, (q15_t)0x3968, (q15_t)0x3962,
+ (q15_t)0x395d, (q15_t)0x3957, (q15_t)0x3951, (q15_t)0x394c, (q15_t)0x3946, (q15_t)0x3941, (q15_t)0x393b, (q15_t)0x3935,
+ (q15_t)0x3930, (q15_t)0x392a, (q15_t)0x3924, (q15_t)0x391f, (q15_t)0x3919, (q15_t)0x3914, (q15_t)0x390e, (q15_t)0x3908,
+ (q15_t)0x3903, (q15_t)0x38fd, (q15_t)0x38f7, (q15_t)0x38f2, (q15_t)0x38ec, (q15_t)0x38e7, (q15_t)0x38e1, (q15_t)0x38db,
+ (q15_t)0x38d6, (q15_t)0x38d0, (q15_t)0x38ca, (q15_t)0x38c5, (q15_t)0x38bf, (q15_t)0x38ba, (q15_t)0x38b4, (q15_t)0x38ae,
+ (q15_t)0x38a9, (q15_t)0x38a3, (q15_t)0x389d, (q15_t)0x3898, (q15_t)0x3892, (q15_t)0x388c, (q15_t)0x3887, (q15_t)0x3881,
+ (q15_t)0x387c, (q15_t)0x3876, (q15_t)0x3870, (q15_t)0x386b, (q15_t)0x3865, (q15_t)0x385f, (q15_t)0x385a, (q15_t)0x3854,
+ (q15_t)0x384e, (q15_t)0x3849, (q15_t)0x3843, (q15_t)0x383d, (q15_t)0x3838, (q15_t)0x3832, (q15_t)0x382d, (q15_t)0x3827,
+ (q15_t)0x3821, (q15_t)0x381c, (q15_t)0x3816, (q15_t)0x3810, (q15_t)0x380b, (q15_t)0x3805, (q15_t)0x37ff, (q15_t)0x37fa,
+ (q15_t)0x37f4, (q15_t)0x37ee, (q15_t)0x37e9, (q15_t)0x37e3, (q15_t)0x37dd, (q15_t)0x37d8, (q15_t)0x37d2, (q15_t)0x37cc,
+ (q15_t)0x37c7, (q15_t)0x37c1, (q15_t)0x37bc, (q15_t)0x37b6, (q15_t)0x37b0, (q15_t)0x37ab, (q15_t)0x37a5, (q15_t)0x379f,
+ (q15_t)0x379a, (q15_t)0x3794, (q15_t)0x378e, (q15_t)0x3789, (q15_t)0x3783, (q15_t)0x377d, (q15_t)0x3778, (q15_t)0x3772,
+ (q15_t)0x376c, (q15_t)0x3767, (q15_t)0x3761, (q15_t)0x375b, (q15_t)0x3756, (q15_t)0x3750, (q15_t)0x374a, (q15_t)0x3745,
+ (q15_t)0x373f, (q15_t)0x3739, (q15_t)0x3734, (q15_t)0x372e, (q15_t)0x3728, (q15_t)0x3723, (q15_t)0x371d, (q15_t)0x3717,
+ (q15_t)0x3712, (q15_t)0x370c, (q15_t)0x3706, (q15_t)0x3701, (q15_t)0x36fb, (q15_t)0x36f5, (q15_t)0x36f0, (q15_t)0x36ea,
+ (q15_t)0x36e4, (q15_t)0x36df, (q15_t)0x36d9, (q15_t)0x36d3, (q15_t)0x36ce, (q15_t)0x36c8, (q15_t)0x36c2, (q15_t)0x36bc,
+ (q15_t)0x36b7, (q15_t)0x36b1, (q15_t)0x36ab, (q15_t)0x36a6, (q15_t)0x36a0, (q15_t)0x369a, (q15_t)0x3695, (q15_t)0x368f,
+ (q15_t)0x3689, (q15_t)0x3684, (q15_t)0x367e, (q15_t)0x3678, (q15_t)0x3673, (q15_t)0x366d, (q15_t)0x3667, (q15_t)0x3662,
+ (q15_t)0x365c, (q15_t)0x3656, (q15_t)0x3650, (q15_t)0x364b, (q15_t)0x3645, (q15_t)0x363f, (q15_t)0x363a, (q15_t)0x3634,
+ (q15_t)0x362e, (q15_t)0x3629, (q15_t)0x3623, (q15_t)0x361d, (q15_t)0x3618, (q15_t)0x3612, (q15_t)0x360c, (q15_t)0x3606,
+ (q15_t)0x3601, (q15_t)0x35fb, (q15_t)0x35f5, (q15_t)0x35f0, (q15_t)0x35ea, (q15_t)0x35e4, (q15_t)0x35df, (q15_t)0x35d9,
+ (q15_t)0x35d3, (q15_t)0x35cd, (q15_t)0x35c8, (q15_t)0x35c2, (q15_t)0x35bc, (q15_t)0x35b7, (q15_t)0x35b1, (q15_t)0x35ab,
+ (q15_t)0x35a6, (q15_t)0x35a0, (q15_t)0x359a, (q15_t)0x3594, (q15_t)0x358f, (q15_t)0x3589, (q15_t)0x3583, (q15_t)0x357e,
+ (q15_t)0x3578, (q15_t)0x3572, (q15_t)0x356c, (q15_t)0x3567, (q15_t)0x3561, (q15_t)0x355b, (q15_t)0x3556, (q15_t)0x3550,
+ (q15_t)0x354a, (q15_t)0x3544, (q15_t)0x353f, (q15_t)0x3539, (q15_t)0x3533, (q15_t)0x352e, (q15_t)0x3528, (q15_t)0x3522,
+ (q15_t)0x351c, (q15_t)0x3517, (q15_t)0x3511, (q15_t)0x350b, (q15_t)0x3506, (q15_t)0x3500, (q15_t)0x34fa, (q15_t)0x34f4,
+ (q15_t)0x34ef, (q15_t)0x34e9, (q15_t)0x34e3, (q15_t)0x34de, (q15_t)0x34d8, (q15_t)0x34d2, (q15_t)0x34cc, (q15_t)0x34c7,
+ (q15_t)0x34c1, (q15_t)0x34bb, (q15_t)0x34b6, (q15_t)0x34b0, (q15_t)0x34aa, (q15_t)0x34a4, (q15_t)0x349f, (q15_t)0x3499,
+ (q15_t)0x3493, (q15_t)0x348d, (q15_t)0x3488, (q15_t)0x3482, (q15_t)0x347c, (q15_t)0x3476, (q15_t)0x3471, (q15_t)0x346b,
+ (q15_t)0x3465, (q15_t)0x3460, (q15_t)0x345a, (q15_t)0x3454, (q15_t)0x344e, (q15_t)0x3449, (q15_t)0x3443, (q15_t)0x343d,
+ (q15_t)0x3437, (q15_t)0x3432, (q15_t)0x342c, (q15_t)0x3426, (q15_t)0x3420, (q15_t)0x341b, (q15_t)0x3415, (q15_t)0x340f,
+ (q15_t)0x340a, (q15_t)0x3404, (q15_t)0x33fe, (q15_t)0x33f8, (q15_t)0x33f3, (q15_t)0x33ed, (q15_t)0x33e7, (q15_t)0x33e1,
+ (q15_t)0x33dc, (q15_t)0x33d6, (q15_t)0x33d0, (q15_t)0x33ca, (q15_t)0x33c5, (q15_t)0x33bf, (q15_t)0x33b9, (q15_t)0x33b3,
+ (q15_t)0x33ae, (q15_t)0x33a8, (q15_t)0x33a2, (q15_t)0x339c, (q15_t)0x3397, (q15_t)0x3391, (q15_t)0x338b, (q15_t)0x3385,
+ (q15_t)0x3380, (q15_t)0x337a, (q15_t)0x3374, (q15_t)0x336e, (q15_t)0x3369, (q15_t)0x3363, (q15_t)0x335d, (q15_t)0x3357,
+ (q15_t)0x3352, (q15_t)0x334c, (q15_t)0x3346, (q15_t)0x3340, (q15_t)0x333b, (q15_t)0x3335, (q15_t)0x332f, (q15_t)0x3329,
+ (q15_t)0x3324, (q15_t)0x331e, (q15_t)0x3318, (q15_t)0x3312, (q15_t)0x330c, (q15_t)0x3307, (q15_t)0x3301, (q15_t)0x32fb,
+ (q15_t)0x32f5, (q15_t)0x32f0, (q15_t)0x32ea, (q15_t)0x32e4, (q15_t)0x32de, (q15_t)0x32d9, (q15_t)0x32d3, (q15_t)0x32cd,
+ (q15_t)0x32c7, (q15_t)0x32c2, (q15_t)0x32bc, (q15_t)0x32b6, (q15_t)0x32b0, (q15_t)0x32aa, (q15_t)0x32a5, (q15_t)0x329f,
+ (q15_t)0x3299, (q15_t)0x3293, (q15_t)0x328e, (q15_t)0x3288, (q15_t)0x3282, (q15_t)0x327c, (q15_t)0x3276, (q15_t)0x3271,
+ (q15_t)0x326b, (q15_t)0x3265, (q15_t)0x325f, (q15_t)0x325a, (q15_t)0x3254, (q15_t)0x324e, (q15_t)0x3248, (q15_t)0x3243,
+ (q15_t)0x323d, (q15_t)0x3237, (q15_t)0x3231, (q15_t)0x322b, (q15_t)0x3226, (q15_t)0x3220, (q15_t)0x321a, (q15_t)0x3214,
+ (q15_t)0x320e, (q15_t)0x3209, (q15_t)0x3203, (q15_t)0x31fd, (q15_t)0x31f7, (q15_t)0x31f2, (q15_t)0x31ec, (q15_t)0x31e6,
+ (q15_t)0x31e0, (q15_t)0x31da, (q15_t)0x31d5, (q15_t)0x31cf, (q15_t)0x31c9, (q15_t)0x31c3, (q15_t)0x31bd, (q15_t)0x31b8,
+ (q15_t)0x31b2, (q15_t)0x31ac, (q15_t)0x31a6, (q15_t)0x31a1, (q15_t)0x319b, (q15_t)0x3195, (q15_t)0x318f, (q15_t)0x3189,
+ (q15_t)0x3184, (q15_t)0x317e, (q15_t)0x3178, (q15_t)0x3172, (q15_t)0x316c, (q15_t)0x3167, (q15_t)0x3161, (q15_t)0x315b,
+ (q15_t)0x3155, (q15_t)0x314f, (q15_t)0x314a, (q15_t)0x3144, (q15_t)0x313e, (q15_t)0x3138, (q15_t)0x3132, (q15_t)0x312d,
+ (q15_t)0x3127, (q15_t)0x3121, (q15_t)0x311b, (q15_t)0x3115, (q15_t)0x3110, (q15_t)0x310a, (q15_t)0x3104, (q15_t)0x30fe,
+ (q15_t)0x30f8, (q15_t)0x30f3, (q15_t)0x30ed, (q15_t)0x30e7, (q15_t)0x30e1, (q15_t)0x30db, (q15_t)0x30d6, (q15_t)0x30d0,
+ (q15_t)0x30ca, (q15_t)0x30c4, (q15_t)0x30be, (q15_t)0x30b8, (q15_t)0x30b3, (q15_t)0x30ad, (q15_t)0x30a7, (q15_t)0x30a1,
+ (q15_t)0x309b, (q15_t)0x3096, (q15_t)0x3090, (q15_t)0x308a, (q15_t)0x3084, (q15_t)0x307e, (q15_t)0x3079, (q15_t)0x3073,
+ (q15_t)0x306d, (q15_t)0x3067, (q15_t)0x3061, (q15_t)0x305b, (q15_t)0x3056, (q15_t)0x3050, (q15_t)0x304a, (q15_t)0x3044,
+ (q15_t)0x303e, (q15_t)0x3039, (q15_t)0x3033, (q15_t)0x302d, (q15_t)0x3027, (q15_t)0x3021, (q15_t)0x301b, (q15_t)0x3016,
+ (q15_t)0x3010, (q15_t)0x300a, (q15_t)0x3004, (q15_t)0x2ffe, (q15_t)0x2ff8, (q15_t)0x2ff3, (q15_t)0x2fed, (q15_t)0x2fe7,
+ (q15_t)0x2fe1, (q15_t)0x2fdb, (q15_t)0x2fd6, (q15_t)0x2fd0, (q15_t)0x2fca, (q15_t)0x2fc4, (q15_t)0x2fbe, (q15_t)0x2fb8,
+ (q15_t)0x2fb3, (q15_t)0x2fad, (q15_t)0x2fa7, (q15_t)0x2fa1, (q15_t)0x2f9b, (q15_t)0x2f95, (q15_t)0x2f90, (q15_t)0x2f8a,
+ (q15_t)0x2f84, (q15_t)0x2f7e, (q15_t)0x2f78, (q15_t)0x2f72, (q15_t)0x2f6d, (q15_t)0x2f67, (q15_t)0x2f61, (q15_t)0x2f5b,
+ (q15_t)0x2f55, (q15_t)0x2f4f, (q15_t)0x2f4a, (q15_t)0x2f44, (q15_t)0x2f3e, (q15_t)0x2f38, (q15_t)0x2f32, (q15_t)0x2f2c,
+ (q15_t)0x2f27, (q15_t)0x2f21, (q15_t)0x2f1b, (q15_t)0x2f15, (q15_t)0x2f0f, (q15_t)0x2f09, (q15_t)0x2f03, (q15_t)0x2efe,
+ (q15_t)0x2ef8, (q15_t)0x2ef2, (q15_t)0x2eec, (q15_t)0x2ee6, (q15_t)0x2ee0, (q15_t)0x2edb, (q15_t)0x2ed5, (q15_t)0x2ecf,
+ (q15_t)0x2ec9, (q15_t)0x2ec3, (q15_t)0x2ebd, (q15_t)0x2eb7, (q15_t)0x2eb2, (q15_t)0x2eac, (q15_t)0x2ea6, (q15_t)0x2ea0,
+ (q15_t)0x2e9a, (q15_t)0x2e94, (q15_t)0x2e8e, (q15_t)0x2e89, (q15_t)0x2e83, (q15_t)0x2e7d, (q15_t)0x2e77, (q15_t)0x2e71,
+ (q15_t)0x2e6b, (q15_t)0x2e65, (q15_t)0x2e60, (q15_t)0x2e5a, (q15_t)0x2e54, (q15_t)0x2e4e, (q15_t)0x2e48, (q15_t)0x2e42,
+ (q15_t)0x2e3c, (q15_t)0x2e37, (q15_t)0x2e31, (q15_t)0x2e2b, (q15_t)0x2e25, (q15_t)0x2e1f, (q15_t)0x2e19, (q15_t)0x2e13,
+ (q15_t)0x2e0e, (q15_t)0x2e08, (q15_t)0x2e02, (q15_t)0x2dfc, (q15_t)0x2df6, (q15_t)0x2df0, (q15_t)0x2dea, (q15_t)0x2de5,
+ (q15_t)0x2ddf, (q15_t)0x2dd9, (q15_t)0x2dd3, (q15_t)0x2dcd, (q15_t)0x2dc7, (q15_t)0x2dc1, (q15_t)0x2dbb, (q15_t)0x2db6,
+ (q15_t)0x2db0, (q15_t)0x2daa, (q15_t)0x2da4, (q15_t)0x2d9e, (q15_t)0x2d98, (q15_t)0x2d92, (q15_t)0x2d8d, (q15_t)0x2d87,
+ (q15_t)0x2d81, (q15_t)0x2d7b, (q15_t)0x2d75, (q15_t)0x2d6f, (q15_t)0x2d69, (q15_t)0x2d63, (q15_t)0x2d5e, (q15_t)0x2d58,
+ (q15_t)0x2d52, (q15_t)0x2d4c, (q15_t)0x2d46, (q15_t)0x2d40, (q15_t)0x2d3a, (q15_t)0x2d34, (q15_t)0x2d2f, (q15_t)0x2d29,
+ (q15_t)0x2d23, (q15_t)0x2d1d, (q15_t)0x2d17, (q15_t)0x2d11, (q15_t)0x2d0b, (q15_t)0x2d05, (q15_t)0x2cff, (q15_t)0x2cfa,
+ (q15_t)0x2cf4, (q15_t)0x2cee, (q15_t)0x2ce8, (q15_t)0x2ce2, (q15_t)0x2cdc, (q15_t)0x2cd6, (q15_t)0x2cd0, (q15_t)0x2ccb,
+ (q15_t)0x2cc5, (q15_t)0x2cbf, (q15_t)0x2cb9, (q15_t)0x2cb3, (q15_t)0x2cad, (q15_t)0x2ca7, (q15_t)0x2ca1, (q15_t)0x2c9b,
+ (q15_t)0x2c96, (q15_t)0x2c90, (q15_t)0x2c8a, (q15_t)0x2c84, (q15_t)0x2c7e, (q15_t)0x2c78, (q15_t)0x2c72, (q15_t)0x2c6c,
+ (q15_t)0x2c66, (q15_t)0x2c61, (q15_t)0x2c5b, (q15_t)0x2c55, (q15_t)0x2c4f, (q15_t)0x2c49, (q15_t)0x2c43, (q15_t)0x2c3d,
+ (q15_t)0x2c37, (q15_t)0x2c31, (q15_t)0x2c2b, (q15_t)0x2c26, (q15_t)0x2c20, (q15_t)0x2c1a, (q15_t)0x2c14, (q15_t)0x2c0e,
+ (q15_t)0x2c08, (q15_t)0x2c02, (q15_t)0x2bfc, (q15_t)0x2bf6, (q15_t)0x2bf0, (q15_t)0x2beb, (q15_t)0x2be5, (q15_t)0x2bdf,
+ (q15_t)0x2bd9, (q15_t)0x2bd3, (q15_t)0x2bcd, (q15_t)0x2bc7, (q15_t)0x2bc1, (q15_t)0x2bbb, (q15_t)0x2bb5, (q15_t)0x2bb0,
+ (q15_t)0x2baa, (q15_t)0x2ba4, (q15_t)0x2b9e, (q15_t)0x2b98, (q15_t)0x2b92, (q15_t)0x2b8c, (q15_t)0x2b86, (q15_t)0x2b80,
+ (q15_t)0x2b7a, (q15_t)0x2b74, (q15_t)0x2b6f, (q15_t)0x2b69, (q15_t)0x2b63, (q15_t)0x2b5d, (q15_t)0x2b57, (q15_t)0x2b51,
+ (q15_t)0x2b4b, (q15_t)0x2b45, (q15_t)0x2b3f, (q15_t)0x2b39, (q15_t)0x2b33, (q15_t)0x2b2d, (q15_t)0x2b28, (q15_t)0x2b22,
+ (q15_t)0x2b1c, (q15_t)0x2b16, (q15_t)0x2b10, (q15_t)0x2b0a, (q15_t)0x2b04, (q15_t)0x2afe, (q15_t)0x2af8, (q15_t)0x2af2,
+ (q15_t)0x2aec, (q15_t)0x2ae6, (q15_t)0x2ae1, (q15_t)0x2adb, (q15_t)0x2ad5, (q15_t)0x2acf, (q15_t)0x2ac9, (q15_t)0x2ac3,
+ (q15_t)0x2abd, (q15_t)0x2ab7, (q15_t)0x2ab1, (q15_t)0x2aab, (q15_t)0x2aa5, (q15_t)0x2a9f, (q15_t)0x2a99, (q15_t)0x2a94,
+ (q15_t)0x2a8e, (q15_t)0x2a88, (q15_t)0x2a82, (q15_t)0x2a7c, (q15_t)0x2a76, (q15_t)0x2a70, (q15_t)0x2a6a, (q15_t)0x2a64,
+ (q15_t)0x2a5e, (q15_t)0x2a58, (q15_t)0x2a52, (q15_t)0x2a4c, (q15_t)0x2a47, (q15_t)0x2a41, (q15_t)0x2a3b, (q15_t)0x2a35,
+ (q15_t)0x2a2f, (q15_t)0x2a29, (q15_t)0x2a23, (q15_t)0x2a1d, (q15_t)0x2a17, (q15_t)0x2a11, (q15_t)0x2a0b, (q15_t)0x2a05,
+ (q15_t)0x29ff, (q15_t)0x29f9, (q15_t)0x29f3, (q15_t)0x29ee, (q15_t)0x29e8, (q15_t)0x29e2, (q15_t)0x29dc, (q15_t)0x29d6,
+ (q15_t)0x29d0, (q15_t)0x29ca, (q15_t)0x29c4, (q15_t)0x29be, (q15_t)0x29b8, (q15_t)0x29b2, (q15_t)0x29ac, (q15_t)0x29a6,
+ (q15_t)0x29a0, (q15_t)0x299a, (q15_t)0x2994, (q15_t)0x298e, (q15_t)0x2989, (q15_t)0x2983, (q15_t)0x297d, (q15_t)0x2977,
+ (q15_t)0x2971, (q15_t)0x296b, (q15_t)0x2965, (q15_t)0x295f, (q15_t)0x2959, (q15_t)0x2953, (q15_t)0x294d, (q15_t)0x2947,
+ (q15_t)0x2941, (q15_t)0x293b, (q15_t)0x2935, (q15_t)0x292f, (q15_t)0x2929, (q15_t)0x2923, (q15_t)0x291d, (q15_t)0x2918,
+ (q15_t)0x2912, (q15_t)0x290c, (q15_t)0x2906, (q15_t)0x2900, (q15_t)0x28fa, (q15_t)0x28f4, (q15_t)0x28ee, (q15_t)0x28e8,
+ (q15_t)0x28e2, (q15_t)0x28dc, (q15_t)0x28d6, (q15_t)0x28d0, (q15_t)0x28ca, (q15_t)0x28c4, (q15_t)0x28be, (q15_t)0x28b8,
+ (q15_t)0x28b2, (q15_t)0x28ac, (q15_t)0x28a6, (q15_t)0x28a0, (q15_t)0x289a, (q15_t)0x2895, (q15_t)0x288f, (q15_t)0x2889,
+ (q15_t)0x2883, (q15_t)0x287d, (q15_t)0x2877, (q15_t)0x2871, (q15_t)0x286b, (q15_t)0x2865, (q15_t)0x285f, (q15_t)0x2859,
+ (q15_t)0x2853, (q15_t)0x284d, (q15_t)0x2847, (q15_t)0x2841, (q15_t)0x283b, (q15_t)0x2835, (q15_t)0x282f, (q15_t)0x2829,
+ (q15_t)0x2823, (q15_t)0x281d, (q15_t)0x2817, (q15_t)0x2811, (q15_t)0x280b, (q15_t)0x2805, (q15_t)0x27ff, (q15_t)0x27f9,
+ (q15_t)0x27f3, (q15_t)0x27ee, (q15_t)0x27e8, (q15_t)0x27e2, (q15_t)0x27dc, (q15_t)0x27d6, (q15_t)0x27d0, (q15_t)0x27ca,
+ (q15_t)0x27c4, (q15_t)0x27be, (q15_t)0x27b8, (q15_t)0x27b2, (q15_t)0x27ac, (q15_t)0x27a6, (q15_t)0x27a0, (q15_t)0x279a,
+ (q15_t)0x2794, (q15_t)0x278e, (q15_t)0x2788, (q15_t)0x2782, (q15_t)0x277c, (q15_t)0x2776, (q15_t)0x2770, (q15_t)0x276a,
+ (q15_t)0x2764, (q15_t)0x275e, (q15_t)0x2758, (q15_t)0x2752, (q15_t)0x274c, (q15_t)0x2746, (q15_t)0x2740, (q15_t)0x273a,
+ (q15_t)0x2734, (q15_t)0x272e, (q15_t)0x2728, (q15_t)0x2722, (q15_t)0x271c, (q15_t)0x2716, (q15_t)0x2710, (q15_t)0x270a,
+ (q15_t)0x2704, (q15_t)0x26fe, (q15_t)0x26f8, (q15_t)0x26f2, (q15_t)0x26ec, (q15_t)0x26e7, (q15_t)0x26e1, (q15_t)0x26db,
+ (q15_t)0x26d5, (q15_t)0x26cf, (q15_t)0x26c9, (q15_t)0x26c3, (q15_t)0x26bd, (q15_t)0x26b7, (q15_t)0x26b1, (q15_t)0x26ab,
+ (q15_t)0x26a5, (q15_t)0x269f, (q15_t)0x2699, (q15_t)0x2693, (q15_t)0x268d, (q15_t)0x2687, (q15_t)0x2681, (q15_t)0x267b,
+ (q15_t)0x2675, (q15_t)0x266f, (q15_t)0x2669, (q15_t)0x2663, (q15_t)0x265d, (q15_t)0x2657, (q15_t)0x2651, (q15_t)0x264b,
+ (q15_t)0x2645, (q15_t)0x263f, (q15_t)0x2639, (q15_t)0x2633, (q15_t)0x262d, (q15_t)0x2627, (q15_t)0x2621, (q15_t)0x261b,
+ (q15_t)0x2615, (q15_t)0x260f, (q15_t)0x2609, (q15_t)0x2603, (q15_t)0x25fd, (q15_t)0x25f7, (q15_t)0x25f1, (q15_t)0x25eb,
+ (q15_t)0x25e5, (q15_t)0x25df, (q15_t)0x25d9, (q15_t)0x25d3, (q15_t)0x25cd, (q15_t)0x25c7, (q15_t)0x25c1, (q15_t)0x25bb,
+ (q15_t)0x25b5, (q15_t)0x25af, (q15_t)0x25a9, (q15_t)0x25a3, (q15_t)0x259d, (q15_t)0x2597, (q15_t)0x2591, (q15_t)0x258b,
+ (q15_t)0x2585, (q15_t)0x257f, (q15_t)0x2579, (q15_t)0x2573, (q15_t)0x256d, (q15_t)0x2567, (q15_t)0x2561, (q15_t)0x255b,
+ (q15_t)0x2555, (q15_t)0x254f, (q15_t)0x2549, (q15_t)0x2543, (q15_t)0x253d, (q15_t)0x2537, (q15_t)0x2531, (q15_t)0x252b,
+ (q15_t)0x2525, (q15_t)0x251f, (q15_t)0x2519, (q15_t)0x2513, (q15_t)0x250c, (q15_t)0x2506, (q15_t)0x2500, (q15_t)0x24fa,
+ (q15_t)0x24f4, (q15_t)0x24ee, (q15_t)0x24e8, (q15_t)0x24e2, (q15_t)0x24dc, (q15_t)0x24d6, (q15_t)0x24d0, (q15_t)0x24ca,
+ (q15_t)0x24c4, (q15_t)0x24be, (q15_t)0x24b8, (q15_t)0x24b2, (q15_t)0x24ac, (q15_t)0x24a6, (q15_t)0x24a0, (q15_t)0x249a,
+ (q15_t)0x2494, (q15_t)0x248e, (q15_t)0x2488, (q15_t)0x2482, (q15_t)0x247c, (q15_t)0x2476, (q15_t)0x2470, (q15_t)0x246a,
+ (q15_t)0x2464, (q15_t)0x245e, (q15_t)0x2458, (q15_t)0x2452, (q15_t)0x244c, (q15_t)0x2446, (q15_t)0x2440, (q15_t)0x243a,
+ (q15_t)0x2434, (q15_t)0x242e, (q15_t)0x2428, (q15_t)0x2422, (q15_t)0x241c, (q15_t)0x2416, (q15_t)0x2410, (q15_t)0x240a,
+ (q15_t)0x2404, (q15_t)0x23fd, (q15_t)0x23f7, (q15_t)0x23f1, (q15_t)0x23eb, (q15_t)0x23e5, (q15_t)0x23df, (q15_t)0x23d9,
+ (q15_t)0x23d3, (q15_t)0x23cd, (q15_t)0x23c7, (q15_t)0x23c1, (q15_t)0x23bb, (q15_t)0x23b5, (q15_t)0x23af, (q15_t)0x23a9,
+ (q15_t)0x23a3, (q15_t)0x239d, (q15_t)0x2397, (q15_t)0x2391, (q15_t)0x238b, (q15_t)0x2385, (q15_t)0x237f, (q15_t)0x2379,
+ (q15_t)0x2373, (q15_t)0x236d, (q15_t)0x2367, (q15_t)0x2361, (q15_t)0x235b, (q15_t)0x2355, (q15_t)0x234e, (q15_t)0x2348,
+ (q15_t)0x2342, (q15_t)0x233c, (q15_t)0x2336, (q15_t)0x2330, (q15_t)0x232a, (q15_t)0x2324, (q15_t)0x231e, (q15_t)0x2318,
+ (q15_t)0x2312, (q15_t)0x230c, (q15_t)0x2306, (q15_t)0x2300, (q15_t)0x22fa, (q15_t)0x22f4, (q15_t)0x22ee, (q15_t)0x22e8,
+ (q15_t)0x22e2, (q15_t)0x22dc, (q15_t)0x22d6, (q15_t)0x22d0, (q15_t)0x22ca, (q15_t)0x22c4, (q15_t)0x22bd, (q15_t)0x22b7,
+ (q15_t)0x22b1, (q15_t)0x22ab, (q15_t)0x22a5, (q15_t)0x229f, (q15_t)0x2299, (q15_t)0x2293, (q15_t)0x228d, (q15_t)0x2287,
+ (q15_t)0x2281, (q15_t)0x227b, (q15_t)0x2275, (q15_t)0x226f, (q15_t)0x2269, (q15_t)0x2263, (q15_t)0x225d, (q15_t)0x2257,
+ (q15_t)0x2251, (q15_t)0x224a, (q15_t)0x2244, (q15_t)0x223e, (q15_t)0x2238, (q15_t)0x2232, (q15_t)0x222c, (q15_t)0x2226,
+ (q15_t)0x2220, (q15_t)0x221a, (q15_t)0x2214, (q15_t)0x220e, (q15_t)0x2208, (q15_t)0x2202, (q15_t)0x21fc, (q15_t)0x21f6,
+ (q15_t)0x21f0, (q15_t)0x21ea, (q15_t)0x21e4, (q15_t)0x21dd, (q15_t)0x21d7, (q15_t)0x21d1, (q15_t)0x21cb, (q15_t)0x21c5,
+ (q15_t)0x21bf, (q15_t)0x21b9, (q15_t)0x21b3, (q15_t)0x21ad, (q15_t)0x21a7, (q15_t)0x21a1, (q15_t)0x219b, (q15_t)0x2195,
+ (q15_t)0x218f, (q15_t)0x2189, (q15_t)0x2183, (q15_t)0x217c, (q15_t)0x2176, (q15_t)0x2170, (q15_t)0x216a, (q15_t)0x2164,
+ (q15_t)0x215e, (q15_t)0x2158, (q15_t)0x2152, (q15_t)0x214c, (q15_t)0x2146, (q15_t)0x2140, (q15_t)0x213a, (q15_t)0x2134,
+ (q15_t)0x212e, (q15_t)0x2128, (q15_t)0x2121, (q15_t)0x211b, (q15_t)0x2115, (q15_t)0x210f, (q15_t)0x2109, (q15_t)0x2103,
+ (q15_t)0x20fd, (q15_t)0x20f7, (q15_t)0x20f1, (q15_t)0x20eb, (q15_t)0x20e5, (q15_t)0x20df, (q15_t)0x20d9, (q15_t)0x20d3,
+ (q15_t)0x20cc, (q15_t)0x20c6, (q15_t)0x20c0, (q15_t)0x20ba, (q15_t)0x20b4, (q15_t)0x20ae, (q15_t)0x20a8, (q15_t)0x20a2,
+ (q15_t)0x209c, (q15_t)0x2096, (q15_t)0x2090, (q15_t)0x208a, (q15_t)0x2084, (q15_t)0x207e, (q15_t)0x2077, (q15_t)0x2071,
+ (q15_t)0x206b, (q15_t)0x2065, (q15_t)0x205f, (q15_t)0x2059, (q15_t)0x2053, (q15_t)0x204d, (q15_t)0x2047, (q15_t)0x2041,
+ (q15_t)0x203b, (q15_t)0x2035, (q15_t)0x202e, (q15_t)0x2028, (q15_t)0x2022, (q15_t)0x201c, (q15_t)0x2016, (q15_t)0x2010,
+ (q15_t)0x200a, (q15_t)0x2004, (q15_t)0x1ffe, (q15_t)0x1ff8, (q15_t)0x1ff2, (q15_t)0x1fec, (q15_t)0x1fe5, (q15_t)0x1fdf,
+ (q15_t)0x1fd9, (q15_t)0x1fd3, (q15_t)0x1fcd, (q15_t)0x1fc7, (q15_t)0x1fc1, (q15_t)0x1fbb, (q15_t)0x1fb5, (q15_t)0x1faf,
+ (q15_t)0x1fa9, (q15_t)0x1fa3, (q15_t)0x1f9c, (q15_t)0x1f96, (q15_t)0x1f90, (q15_t)0x1f8a, (q15_t)0x1f84, (q15_t)0x1f7e,
+ (q15_t)0x1f78, (q15_t)0x1f72, (q15_t)0x1f6c, (q15_t)0x1f66, (q15_t)0x1f60, (q15_t)0x1f59, (q15_t)0x1f53, (q15_t)0x1f4d,
+ (q15_t)0x1f47, (q15_t)0x1f41, (q15_t)0x1f3b, (q15_t)0x1f35, (q15_t)0x1f2f, (q15_t)0x1f29, (q15_t)0x1f23, (q15_t)0x1f1d,
+ (q15_t)0x1f16, (q15_t)0x1f10, (q15_t)0x1f0a, (q15_t)0x1f04, (q15_t)0x1efe, (q15_t)0x1ef8, (q15_t)0x1ef2, (q15_t)0x1eec,
+ (q15_t)0x1ee6, (q15_t)0x1ee0, (q15_t)0x1ed9, (q15_t)0x1ed3, (q15_t)0x1ecd, (q15_t)0x1ec7, (q15_t)0x1ec1, (q15_t)0x1ebb,
+ (q15_t)0x1eb5, (q15_t)0x1eaf, (q15_t)0x1ea9, (q15_t)0x1ea3, (q15_t)0x1e9c, (q15_t)0x1e96, (q15_t)0x1e90, (q15_t)0x1e8a,
+ (q15_t)0x1e84, (q15_t)0x1e7e, (q15_t)0x1e78, (q15_t)0x1e72, (q15_t)0x1e6c, (q15_t)0x1e66, (q15_t)0x1e5f, (q15_t)0x1e59,
+ (q15_t)0x1e53, (q15_t)0x1e4d, (q15_t)0x1e47, (q15_t)0x1e41, (q15_t)0x1e3b, (q15_t)0x1e35, (q15_t)0x1e2f, (q15_t)0x1e29,
+ (q15_t)0x1e22, (q15_t)0x1e1c, (q15_t)0x1e16, (q15_t)0x1e10, (q15_t)0x1e0a, (q15_t)0x1e04, (q15_t)0x1dfe, (q15_t)0x1df8,
+ (q15_t)0x1df2, (q15_t)0x1deb, (q15_t)0x1de5, (q15_t)0x1ddf, (q15_t)0x1dd9, (q15_t)0x1dd3, (q15_t)0x1dcd, (q15_t)0x1dc7,
+ (q15_t)0x1dc1, (q15_t)0x1dbb, (q15_t)0x1db4, (q15_t)0x1dae, (q15_t)0x1da8, (q15_t)0x1da2, (q15_t)0x1d9c, (q15_t)0x1d96,
+ (q15_t)0x1d90, (q15_t)0x1d8a, (q15_t)0x1d84, (q15_t)0x1d7d, (q15_t)0x1d77, (q15_t)0x1d71, (q15_t)0x1d6b, (q15_t)0x1d65,
+ (q15_t)0x1d5f, (q15_t)0x1d59, (q15_t)0x1d53, (q15_t)0x1d4c, (q15_t)0x1d46, (q15_t)0x1d40, (q15_t)0x1d3a, (q15_t)0x1d34,
+ (q15_t)0x1d2e, (q15_t)0x1d28, (q15_t)0x1d22, (q15_t)0x1d1c, (q15_t)0x1d15, (q15_t)0x1d0f, (q15_t)0x1d09, (q15_t)0x1d03,
+ (q15_t)0x1cfd, (q15_t)0x1cf7, (q15_t)0x1cf1, (q15_t)0x1ceb, (q15_t)0x1ce4, (q15_t)0x1cde, (q15_t)0x1cd8, (q15_t)0x1cd2,
+ (q15_t)0x1ccc, (q15_t)0x1cc6, (q15_t)0x1cc0, (q15_t)0x1cba, (q15_t)0x1cb3, (q15_t)0x1cad, (q15_t)0x1ca7, (q15_t)0x1ca1,
+ (q15_t)0x1c9b, (q15_t)0x1c95, (q15_t)0x1c8f, (q15_t)0x1c89, (q15_t)0x1c83, (q15_t)0x1c7c, (q15_t)0x1c76, (q15_t)0x1c70,
+ (q15_t)0x1c6a, (q15_t)0x1c64, (q15_t)0x1c5e, (q15_t)0x1c58, (q15_t)0x1c51, (q15_t)0x1c4b, (q15_t)0x1c45, (q15_t)0x1c3f,
+ (q15_t)0x1c39, (q15_t)0x1c33, (q15_t)0x1c2d, (q15_t)0x1c27, (q15_t)0x1c20, (q15_t)0x1c1a, (q15_t)0x1c14, (q15_t)0x1c0e,
+ (q15_t)0x1c08, (q15_t)0x1c02, (q15_t)0x1bfc, (q15_t)0x1bf6, (q15_t)0x1bef, (q15_t)0x1be9, (q15_t)0x1be3, (q15_t)0x1bdd,
+ (q15_t)0x1bd7, (q15_t)0x1bd1, (q15_t)0x1bcb, (q15_t)0x1bc4, (q15_t)0x1bbe, (q15_t)0x1bb8, (q15_t)0x1bb2, (q15_t)0x1bac,
+ (q15_t)0x1ba6, (q15_t)0x1ba0, (q15_t)0x1b9a, (q15_t)0x1b93, (q15_t)0x1b8d, (q15_t)0x1b87, (q15_t)0x1b81, (q15_t)0x1b7b,
+ (q15_t)0x1b75, (q15_t)0x1b6f, (q15_t)0x1b68, (q15_t)0x1b62, (q15_t)0x1b5c, (q15_t)0x1b56, (q15_t)0x1b50, (q15_t)0x1b4a,
+ (q15_t)0x1b44, (q15_t)0x1b3d, (q15_t)0x1b37, (q15_t)0x1b31, (q15_t)0x1b2b, (q15_t)0x1b25, (q15_t)0x1b1f, (q15_t)0x1b19,
+ (q15_t)0x1b13, (q15_t)0x1b0c, (q15_t)0x1b06, (q15_t)0x1b00, (q15_t)0x1afa, (q15_t)0x1af4, (q15_t)0x1aee, (q15_t)0x1ae8,
+ (q15_t)0x1ae1, (q15_t)0x1adb, (q15_t)0x1ad5, (q15_t)0x1acf, (q15_t)0x1ac9, (q15_t)0x1ac3, (q15_t)0x1abd, (q15_t)0x1ab6,
+ (q15_t)0x1ab0, (q15_t)0x1aaa, (q15_t)0x1aa4, (q15_t)0x1a9e, (q15_t)0x1a98, (q15_t)0x1a91, (q15_t)0x1a8b, (q15_t)0x1a85,
+ (q15_t)0x1a7f, (q15_t)0x1a79, (q15_t)0x1a73, (q15_t)0x1a6d, (q15_t)0x1a66, (q15_t)0x1a60, (q15_t)0x1a5a, (q15_t)0x1a54,
+ (q15_t)0x1a4e, (q15_t)0x1a48, (q15_t)0x1a42, (q15_t)0x1a3b, (q15_t)0x1a35, (q15_t)0x1a2f, (q15_t)0x1a29, (q15_t)0x1a23,
+ (q15_t)0x1a1d, (q15_t)0x1a17, (q15_t)0x1a10, (q15_t)0x1a0a, (q15_t)0x1a04, (q15_t)0x19fe, (q15_t)0x19f8, (q15_t)0x19f2,
+ (q15_t)0x19eb, (q15_t)0x19e5, (q15_t)0x19df, (q15_t)0x19d9, (q15_t)0x19d3, (q15_t)0x19cd, (q15_t)0x19c7, (q15_t)0x19c0,
+ (q15_t)0x19ba, (q15_t)0x19b4, (q15_t)0x19ae, (q15_t)0x19a8, (q15_t)0x19a2, (q15_t)0x199b, (q15_t)0x1995, (q15_t)0x198f,
+ (q15_t)0x1989, (q15_t)0x1983, (q15_t)0x197d, (q15_t)0x1977, (q15_t)0x1970, (q15_t)0x196a, (q15_t)0x1964, (q15_t)0x195e,
+ (q15_t)0x1958, (q15_t)0x1952, (q15_t)0x194b, (q15_t)0x1945, (q15_t)0x193f, (q15_t)0x1939, (q15_t)0x1933, (q15_t)0x192d,
+ (q15_t)0x1926, (q15_t)0x1920, (q15_t)0x191a, (q15_t)0x1914, (q15_t)0x190e, (q15_t)0x1908, (q15_t)0x1901, (q15_t)0x18fb,
+ (q15_t)0x18f5, (q15_t)0x18ef, (q15_t)0x18e9, (q15_t)0x18e3, (q15_t)0x18dc, (q15_t)0x18d6, (q15_t)0x18d0, (q15_t)0x18ca,
+ (q15_t)0x18c4, (q15_t)0x18be, (q15_t)0x18b8, (q15_t)0x18b1, (q15_t)0x18ab, (q15_t)0x18a5, (q15_t)0x189f, (q15_t)0x1899,
+ (q15_t)0x1893, (q15_t)0x188c, (q15_t)0x1886, (q15_t)0x1880, (q15_t)0x187a, (q15_t)0x1874, (q15_t)0x186e, (q15_t)0x1867,
+ (q15_t)0x1861, (q15_t)0x185b, (q15_t)0x1855, (q15_t)0x184f, (q15_t)0x1848, (q15_t)0x1842, (q15_t)0x183c, (q15_t)0x1836,
+ (q15_t)0x1830, (q15_t)0x182a, (q15_t)0x1823, (q15_t)0x181d, (q15_t)0x1817, (q15_t)0x1811, (q15_t)0x180b, (q15_t)0x1805,
+ (q15_t)0x17fe, (q15_t)0x17f8, (q15_t)0x17f2, (q15_t)0x17ec, (q15_t)0x17e6, (q15_t)0x17e0, (q15_t)0x17d9, (q15_t)0x17d3,
+ (q15_t)0x17cd, (q15_t)0x17c7, (q15_t)0x17c1, (q15_t)0x17bb, (q15_t)0x17b4, (q15_t)0x17ae, (q15_t)0x17a8, (q15_t)0x17a2,
+ (q15_t)0x179c, (q15_t)0x1795, (q15_t)0x178f, (q15_t)0x1789, (q15_t)0x1783, (q15_t)0x177d, (q15_t)0x1777, (q15_t)0x1770,
+ (q15_t)0x176a, (q15_t)0x1764, (q15_t)0x175e, (q15_t)0x1758, (q15_t)0x1752, (q15_t)0x174b, (q15_t)0x1745, (q15_t)0x173f,
+ (q15_t)0x1739, (q15_t)0x1733, (q15_t)0x172c, (q15_t)0x1726, (q15_t)0x1720, (q15_t)0x171a, (q15_t)0x1714, (q15_t)0x170e,
+ (q15_t)0x1707, (q15_t)0x1701, (q15_t)0x16fb, (q15_t)0x16f5, (q15_t)0x16ef, (q15_t)0x16e8, (q15_t)0x16e2, (q15_t)0x16dc,
+ (q15_t)0x16d6, (q15_t)0x16d0, (q15_t)0x16ca, (q15_t)0x16c3, (q15_t)0x16bd, (q15_t)0x16b7, (q15_t)0x16b1, (q15_t)0x16ab,
+ (q15_t)0x16a4, (q15_t)0x169e, (q15_t)0x1698, (q15_t)0x1692, (q15_t)0x168c, (q15_t)0x1686, (q15_t)0x167f, (q15_t)0x1679,
+ (q15_t)0x1673, (q15_t)0x166d, (q15_t)0x1667, (q15_t)0x1660, (q15_t)0x165a, (q15_t)0x1654, (q15_t)0x164e, (q15_t)0x1648,
+ (q15_t)0x1642, (q15_t)0x163b, (q15_t)0x1635, (q15_t)0x162f, (q15_t)0x1629, (q15_t)0x1623, (q15_t)0x161c, (q15_t)0x1616,
+ (q15_t)0x1610, (q15_t)0x160a, (q15_t)0x1604, (q15_t)0x15fd, (q15_t)0x15f7, (q15_t)0x15f1, (q15_t)0x15eb, (q15_t)0x15e5,
+ (q15_t)0x15de, (q15_t)0x15d8, (q15_t)0x15d2, (q15_t)0x15cc, (q15_t)0x15c6, (q15_t)0x15c0, (q15_t)0x15b9, (q15_t)0x15b3,
+ (q15_t)0x15ad, (q15_t)0x15a7, (q15_t)0x15a1, (q15_t)0x159a, (q15_t)0x1594, (q15_t)0x158e, (q15_t)0x1588, (q15_t)0x1582,
+ (q15_t)0x157b, (q15_t)0x1575, (q15_t)0x156f, (q15_t)0x1569, (q15_t)0x1563, (q15_t)0x155c, (q15_t)0x1556, (q15_t)0x1550,
+ (q15_t)0x154a, (q15_t)0x1544, (q15_t)0x153d, (q15_t)0x1537, (q15_t)0x1531, (q15_t)0x152b, (q15_t)0x1525, (q15_t)0x151e,
+ (q15_t)0x1518, (q15_t)0x1512, (q15_t)0x150c, (q15_t)0x1506, (q15_t)0x14ff, (q15_t)0x14f9, (q15_t)0x14f3, (q15_t)0x14ed,
+ (q15_t)0x14e7, (q15_t)0x14e0, (q15_t)0x14da, (q15_t)0x14d4, (q15_t)0x14ce, (q15_t)0x14c8, (q15_t)0x14c1, (q15_t)0x14bb,
+ (q15_t)0x14b5, (q15_t)0x14af, (q15_t)0x14a9, (q15_t)0x14a2, (q15_t)0x149c, (q15_t)0x1496, (q15_t)0x1490, (q15_t)0x148a,
+ (q15_t)0x1483, (q15_t)0x147d, (q15_t)0x1477, (q15_t)0x1471, (q15_t)0x146b, (q15_t)0x1464, (q15_t)0x145e, (q15_t)0x1458,
+ (q15_t)0x1452, (q15_t)0x144c, (q15_t)0x1445, (q15_t)0x143f, (q15_t)0x1439, (q15_t)0x1433, (q15_t)0x142d, (q15_t)0x1426,
+ (q15_t)0x1420, (q15_t)0x141a, (q15_t)0x1414, (q15_t)0x140e, (q15_t)0x1407, (q15_t)0x1401, (q15_t)0x13fb, (q15_t)0x13f5,
+ (q15_t)0x13ef, (q15_t)0x13e8, (q15_t)0x13e2, (q15_t)0x13dc, (q15_t)0x13d6, (q15_t)0x13d0, (q15_t)0x13c9, (q15_t)0x13c3,
+ (q15_t)0x13bd, (q15_t)0x13b7, (q15_t)0x13b1, (q15_t)0x13aa, (q15_t)0x13a4, (q15_t)0x139e, (q15_t)0x1398, (q15_t)0x1391,
+ (q15_t)0x138b, (q15_t)0x1385, (q15_t)0x137f, (q15_t)0x1379, (q15_t)0x1372, (q15_t)0x136c, (q15_t)0x1366, (q15_t)0x1360,
+ (q15_t)0x135a, (q15_t)0x1353, (q15_t)0x134d, (q15_t)0x1347, (q15_t)0x1341, (q15_t)0x133b, (q15_t)0x1334, (q15_t)0x132e,
+ (q15_t)0x1328, (q15_t)0x1322, (q15_t)0x131b, (q15_t)0x1315, (q15_t)0x130f, (q15_t)0x1309, (q15_t)0x1303, (q15_t)0x12fc,
+ (q15_t)0x12f6, (q15_t)0x12f0, (q15_t)0x12ea, (q15_t)0x12e4, (q15_t)0x12dd, (q15_t)0x12d7, (q15_t)0x12d1, (q15_t)0x12cb,
+ (q15_t)0x12c4, (q15_t)0x12be, (q15_t)0x12b8, (q15_t)0x12b2, (q15_t)0x12ac, (q15_t)0x12a5, (q15_t)0x129f, (q15_t)0x1299,
+ (q15_t)0x1293, (q15_t)0x128d, (q15_t)0x1286, (q15_t)0x1280, (q15_t)0x127a, (q15_t)0x1274, (q15_t)0x126d, (q15_t)0x1267,
+ (q15_t)0x1261, (q15_t)0x125b, (q15_t)0x1255, (q15_t)0x124e, (q15_t)0x1248, (q15_t)0x1242, (q15_t)0x123c, (q15_t)0x1235,
+ (q15_t)0x122f, (q15_t)0x1229, (q15_t)0x1223, (q15_t)0x121d, (q15_t)0x1216, (q15_t)0x1210, (q15_t)0x120a, (q15_t)0x1204,
+ (q15_t)0x11fd, (q15_t)0x11f7, (q15_t)0x11f1, (q15_t)0x11eb, (q15_t)0x11e5, (q15_t)0x11de, (q15_t)0x11d8, (q15_t)0x11d2,
+ (q15_t)0x11cc, (q15_t)0x11c5, (q15_t)0x11bf, (q15_t)0x11b9, (q15_t)0x11b3, (q15_t)0x11ad, (q15_t)0x11a6, (q15_t)0x11a0,
+ (q15_t)0x119a, (q15_t)0x1194, (q15_t)0x118d, (q15_t)0x1187, (q15_t)0x1181, (q15_t)0x117b, (q15_t)0x1175, (q15_t)0x116e,
+ (q15_t)0x1168, (q15_t)0x1162, (q15_t)0x115c, (q15_t)0x1155, (q15_t)0x114f, (q15_t)0x1149, (q15_t)0x1143, (q15_t)0x113d,
+ (q15_t)0x1136, (q15_t)0x1130, (q15_t)0x112a, (q15_t)0x1124, (q15_t)0x111d, (q15_t)0x1117, (q15_t)0x1111, (q15_t)0x110b,
+ (q15_t)0x1105, (q15_t)0x10fe, (q15_t)0x10f8, (q15_t)0x10f2, (q15_t)0x10ec, (q15_t)0x10e5, (q15_t)0x10df, (q15_t)0x10d9,
+ (q15_t)0x10d3, (q15_t)0x10cc, (q15_t)0x10c6, (q15_t)0x10c0, (q15_t)0x10ba, (q15_t)0x10b4, (q15_t)0x10ad, (q15_t)0x10a7,
+ (q15_t)0x10a1, (q15_t)0x109b, (q15_t)0x1094, (q15_t)0x108e, (q15_t)0x1088, (q15_t)0x1082, (q15_t)0x107b, (q15_t)0x1075,
+ (q15_t)0x106f, (q15_t)0x1069, (q15_t)0x1063, (q15_t)0x105c, (q15_t)0x1056, (q15_t)0x1050, (q15_t)0x104a, (q15_t)0x1043,
+ (q15_t)0x103d, (q15_t)0x1037, (q15_t)0x1031, (q15_t)0x102a, (q15_t)0x1024, (q15_t)0x101e, (q15_t)0x1018, (q15_t)0x1012,
+ (q15_t)0x100b, (q15_t)0x1005, (q15_t)0xfff, (q15_t)0xff9, (q15_t)0xff2, (q15_t)0xfec, (q15_t)0xfe6, (q15_t)0xfe0,
+ (q15_t)0xfd9, (q15_t)0xfd3, (q15_t)0xfcd, (q15_t)0xfc7, (q15_t)0xfc0, (q15_t)0xfba, (q15_t)0xfb4, (q15_t)0xfae,
+ (q15_t)0xfa8, (q15_t)0xfa1, (q15_t)0xf9b, (q15_t)0xf95, (q15_t)0xf8f, (q15_t)0xf88, (q15_t)0xf82, (q15_t)0xf7c,
+ (q15_t)0xf76, (q15_t)0xf6f, (q15_t)0xf69, (q15_t)0xf63, (q15_t)0xf5d, (q15_t)0xf56, (q15_t)0xf50, (q15_t)0xf4a,
+ (q15_t)0xf44, (q15_t)0xf3e, (q15_t)0xf37, (q15_t)0xf31, (q15_t)0xf2b, (q15_t)0xf25, (q15_t)0xf1e, (q15_t)0xf18,
+ (q15_t)0xf12, (q15_t)0xf0c, (q15_t)0xf05, (q15_t)0xeff, (q15_t)0xef9, (q15_t)0xef3, (q15_t)0xeec, (q15_t)0xee6,
+ (q15_t)0xee0, (q15_t)0xeda, (q15_t)0xed3, (q15_t)0xecd, (q15_t)0xec7, (q15_t)0xec1, (q15_t)0xeba, (q15_t)0xeb4,
+ (q15_t)0xeae, (q15_t)0xea8, (q15_t)0xea1, (q15_t)0xe9b, (q15_t)0xe95, (q15_t)0xe8f, (q15_t)0xe89, (q15_t)0xe82,
+ (q15_t)0xe7c, (q15_t)0xe76, (q15_t)0xe70, (q15_t)0xe69, (q15_t)0xe63, (q15_t)0xe5d, (q15_t)0xe57, (q15_t)0xe50,
+ (q15_t)0xe4a, (q15_t)0xe44, (q15_t)0xe3e, (q15_t)0xe37, (q15_t)0xe31, (q15_t)0xe2b, (q15_t)0xe25, (q15_t)0xe1e,
+ (q15_t)0xe18, (q15_t)0xe12, (q15_t)0xe0c, (q15_t)0xe05, (q15_t)0xdff, (q15_t)0xdf9, (q15_t)0xdf3, (q15_t)0xdec,
+ (q15_t)0xde6, (q15_t)0xde0, (q15_t)0xdda, (q15_t)0xdd3, (q15_t)0xdcd, (q15_t)0xdc7, (q15_t)0xdc1, (q15_t)0xdba,
+ (q15_t)0xdb4, (q15_t)0xdae, (q15_t)0xda8, (q15_t)0xda1, (q15_t)0xd9b, (q15_t)0xd95, (q15_t)0xd8f, (q15_t)0xd88,
+ (q15_t)0xd82, (q15_t)0xd7c, (q15_t)0xd76, (q15_t)0xd6f, (q15_t)0xd69, (q15_t)0xd63, (q15_t)0xd5d, (q15_t)0xd56,
+ (q15_t)0xd50, (q15_t)0xd4a, (q15_t)0xd44, (q15_t)0xd3d, (q15_t)0xd37, (q15_t)0xd31, (q15_t)0xd2b, (q15_t)0xd24,
+ (q15_t)0xd1e, (q15_t)0xd18, (q15_t)0xd12, (q15_t)0xd0b, (q15_t)0xd05, (q15_t)0xcff, (q15_t)0xcf9, (q15_t)0xcf2,
+ (q15_t)0xcec, (q15_t)0xce6, (q15_t)0xce0, (q15_t)0xcd9, (q15_t)0xcd3, (q15_t)0xccd, (q15_t)0xcc7, (q15_t)0xcc0,
+ (q15_t)0xcba, (q15_t)0xcb4, (q15_t)0xcae, (q15_t)0xca7, (q15_t)0xca1, (q15_t)0xc9b, (q15_t)0xc95, (q15_t)0xc8e,
+ (q15_t)0xc88, (q15_t)0xc82, (q15_t)0xc7c, (q15_t)0xc75, (q15_t)0xc6f, (q15_t)0xc69, (q15_t)0xc63, (q15_t)0xc5c,
+ (q15_t)0xc56, (q15_t)0xc50, (q15_t)0xc4a, (q15_t)0xc43, (q15_t)0xc3d, (q15_t)0xc37, (q15_t)0xc31, (q15_t)0xc2a,
+ (q15_t)0xc24, (q15_t)0xc1e, (q15_t)0xc18, (q15_t)0xc11, (q15_t)0xc0b, (q15_t)0xc05, (q15_t)0xbff, (q15_t)0xbf8,
+ (q15_t)0xbf2, (q15_t)0xbec, (q15_t)0xbe6, (q15_t)0xbdf, (q15_t)0xbd9, (q15_t)0xbd3, (q15_t)0xbcd, (q15_t)0xbc6,
+ (q15_t)0xbc0, (q15_t)0xbba, (q15_t)0xbb4, (q15_t)0xbad, (q15_t)0xba7, (q15_t)0xba1, (q15_t)0xb9b, (q15_t)0xb94,
+ (q15_t)0xb8e, (q15_t)0xb88, (q15_t)0xb81, (q15_t)0xb7b, (q15_t)0xb75, (q15_t)0xb6f, (q15_t)0xb68, (q15_t)0xb62,
+ (q15_t)0xb5c, (q15_t)0xb56, (q15_t)0xb4f, (q15_t)0xb49, (q15_t)0xb43, (q15_t)0xb3d, (q15_t)0xb36, (q15_t)0xb30,
+ (q15_t)0xb2a, (q15_t)0xb24, (q15_t)0xb1d, (q15_t)0xb17, (q15_t)0xb11, (q15_t)0xb0b, (q15_t)0xb04, (q15_t)0xafe,
+ (q15_t)0xaf8, (q15_t)0xaf2, (q15_t)0xaeb, (q15_t)0xae5, (q15_t)0xadf, (q15_t)0xad8, (q15_t)0xad2, (q15_t)0xacc,
+ (q15_t)0xac6, (q15_t)0xabf, (q15_t)0xab9, (q15_t)0xab3, (q15_t)0xaad, (q15_t)0xaa6, (q15_t)0xaa0, (q15_t)0xa9a,
+ (q15_t)0xa94, (q15_t)0xa8d, (q15_t)0xa87, (q15_t)0xa81, (q15_t)0xa7b, (q15_t)0xa74, (q15_t)0xa6e, (q15_t)0xa68,
+ (q15_t)0xa62, (q15_t)0xa5b, (q15_t)0xa55, (q15_t)0xa4f, (q15_t)0xa48, (q15_t)0xa42, (q15_t)0xa3c, (q15_t)0xa36,
+ (q15_t)0xa2f, (q15_t)0xa29, (q15_t)0xa23, (q15_t)0xa1d, (q15_t)0xa16, (q15_t)0xa10, (q15_t)0xa0a, (q15_t)0xa04,
+ (q15_t)0x9fd, (q15_t)0x9f7, (q15_t)0x9f1, (q15_t)0x9eb, (q15_t)0x9e4, (q15_t)0x9de, (q15_t)0x9d8, (q15_t)0x9d1,
+ (q15_t)0x9cb, (q15_t)0x9c5, (q15_t)0x9bf, (q15_t)0x9b8, (q15_t)0x9b2, (q15_t)0x9ac, (q15_t)0x9a6, (q15_t)0x99f,
+ (q15_t)0x999, (q15_t)0x993, (q15_t)0x98d, (q15_t)0x986, (q15_t)0x980, (q15_t)0x97a, (q15_t)0x973, (q15_t)0x96d,
+ (q15_t)0x967, (q15_t)0x961, (q15_t)0x95a, (q15_t)0x954, (q15_t)0x94e, (q15_t)0x948, (q15_t)0x941, (q15_t)0x93b,
+ (q15_t)0x935, (q15_t)0x92f, (q15_t)0x928, (q15_t)0x922, (q15_t)0x91c, (q15_t)0x915, (q15_t)0x90f, (q15_t)0x909,
+ (q15_t)0x903, (q15_t)0x8fc, (q15_t)0x8f6, (q15_t)0x8f0, (q15_t)0x8ea, (q15_t)0x8e3, (q15_t)0x8dd, (q15_t)0x8d7,
+ (q15_t)0x8d1, (q15_t)0x8ca, (q15_t)0x8c4, (q15_t)0x8be, (q15_t)0x8b7, (q15_t)0x8b1, (q15_t)0x8ab, (q15_t)0x8a5,
+ (q15_t)0x89e, (q15_t)0x898, (q15_t)0x892, (q15_t)0x88c, (q15_t)0x885, (q15_t)0x87f, (q15_t)0x879, (q15_t)0x872,
+ (q15_t)0x86c, (q15_t)0x866, (q15_t)0x860, (q15_t)0x859, (q15_t)0x853, (q15_t)0x84d, (q15_t)0x847, (q15_t)0x840,
+ (q15_t)0x83a, (q15_t)0x834, (q15_t)0x82e, (q15_t)0x827, (q15_t)0x821, (q15_t)0x81b, (q15_t)0x814, (q15_t)0x80e,
+ (q15_t)0x808, (q15_t)0x802, (q15_t)0x7fb, (q15_t)0x7f5, (q15_t)0x7ef, (q15_t)0x7e9, (q15_t)0x7e2, (q15_t)0x7dc,
+ (q15_t)0x7d6, (q15_t)0x7cf, (q15_t)0x7c9, (q15_t)0x7c3, (q15_t)0x7bd, (q15_t)0x7b6, (q15_t)0x7b0, (q15_t)0x7aa,
+ (q15_t)0x7a4, (q15_t)0x79d, (q15_t)0x797, (q15_t)0x791, (q15_t)0x78a, (q15_t)0x784, (q15_t)0x77e, (q15_t)0x778,
+ (q15_t)0x771, (q15_t)0x76b, (q15_t)0x765, (q15_t)0x75f, (q15_t)0x758, (q15_t)0x752, (q15_t)0x74c, (q15_t)0x745,
+ (q15_t)0x73f, (q15_t)0x739, (q15_t)0x733, (q15_t)0x72c, (q15_t)0x726, (q15_t)0x720, (q15_t)0x71a, (q15_t)0x713,
+ (q15_t)0x70d, (q15_t)0x707, (q15_t)0x700, (q15_t)0x6fa, (q15_t)0x6f4, (q15_t)0x6ee, (q15_t)0x6e7, (q15_t)0x6e1,
+ (q15_t)0x6db, (q15_t)0x6d5, (q15_t)0x6ce, (q15_t)0x6c8, (q15_t)0x6c2, (q15_t)0x6bb, (q15_t)0x6b5, (q15_t)0x6af,
+ (q15_t)0x6a9, (q15_t)0x6a2, (q15_t)0x69c, (q15_t)0x696, (q15_t)0x690, (q15_t)0x689, (q15_t)0x683, (q15_t)0x67d,
+ (q15_t)0x676, (q15_t)0x670, (q15_t)0x66a, (q15_t)0x664, (q15_t)0x65d, (q15_t)0x657, (q15_t)0x651, (q15_t)0x64a,
+ (q15_t)0x644, (q15_t)0x63e, (q15_t)0x638, (q15_t)0x631, (q15_t)0x62b, (q15_t)0x625, (q15_t)0x61f, (q15_t)0x618,
+ (q15_t)0x612, (q15_t)0x60c, (q15_t)0x605, (q15_t)0x5ff, (q15_t)0x5f9, (q15_t)0x5f3, (q15_t)0x5ec, (q15_t)0x5e6,
+ (q15_t)0x5e0, (q15_t)0x5da, (q15_t)0x5d3, (q15_t)0x5cd, (q15_t)0x5c7, (q15_t)0x5c0, (q15_t)0x5ba, (q15_t)0x5b4,
+ (q15_t)0x5ae, (q15_t)0x5a7, (q15_t)0x5a1, (q15_t)0x59b, (q15_t)0x594, (q15_t)0x58e, (q15_t)0x588, (q15_t)0x582,
+ (q15_t)0x57b, (q15_t)0x575, (q15_t)0x56f, (q15_t)0x569, (q15_t)0x562, (q15_t)0x55c, (q15_t)0x556, (q15_t)0x54f,
+ (q15_t)0x549, (q15_t)0x543, (q15_t)0x53d, (q15_t)0x536, (q15_t)0x530, (q15_t)0x52a, (q15_t)0x523, (q15_t)0x51d,
+ (q15_t)0x517, (q15_t)0x511, (q15_t)0x50a, (q15_t)0x504, (q15_t)0x4fe, (q15_t)0x4f8, (q15_t)0x4f1, (q15_t)0x4eb,
+ (q15_t)0x4e5, (q15_t)0x4de, (q15_t)0x4d8, (q15_t)0x4d2, (q15_t)0x4cc, (q15_t)0x4c5, (q15_t)0x4bf, (q15_t)0x4b9,
+ (q15_t)0x4b2, (q15_t)0x4ac, (q15_t)0x4a6, (q15_t)0x4a0, (q15_t)0x499, (q15_t)0x493, (q15_t)0x48d, (q15_t)0x487,
+ (q15_t)0x480, (q15_t)0x47a, (q15_t)0x474, (q15_t)0x46d, (q15_t)0x467, (q15_t)0x461, (q15_t)0x45b, (q15_t)0x454,
+ (q15_t)0x44e, (q15_t)0x448, (q15_t)0x441, (q15_t)0x43b, (q15_t)0x435, (q15_t)0x42f, (q15_t)0x428, (q15_t)0x422,
+ (q15_t)0x41c, (q15_t)0x415, (q15_t)0x40f, (q15_t)0x409, (q15_t)0x403, (q15_t)0x3fc, (q15_t)0x3f6, (q15_t)0x3f0,
+ (q15_t)0x3ea, (q15_t)0x3e3, (q15_t)0x3dd, (q15_t)0x3d7, (q15_t)0x3d0, (q15_t)0x3ca, (q15_t)0x3c4, (q15_t)0x3be,
+ (q15_t)0x3b7, (q15_t)0x3b1, (q15_t)0x3ab, (q15_t)0x3a4, (q15_t)0x39e, (q15_t)0x398, (q15_t)0x392, (q15_t)0x38b,
+ (q15_t)0x385, (q15_t)0x37f, (q15_t)0x378, (q15_t)0x372, (q15_t)0x36c, (q15_t)0x366, (q15_t)0x35f, (q15_t)0x359,
+ (q15_t)0x353, (q15_t)0x34c, (q15_t)0x346, (q15_t)0x340, (q15_t)0x33a, (q15_t)0x333, (q15_t)0x32d, (q15_t)0x327,
+ (q15_t)0x321, (q15_t)0x31a, (q15_t)0x314, (q15_t)0x30e, (q15_t)0x307, (q15_t)0x301, (q15_t)0x2fb, (q15_t)0x2f5,
+ (q15_t)0x2ee, (q15_t)0x2e8, (q15_t)0x2e2, (q15_t)0x2db, (q15_t)0x2d5, (q15_t)0x2cf, (q15_t)0x2c9, (q15_t)0x2c2,
+ (q15_t)0x2bc, (q15_t)0x2b6, (q15_t)0x2af, (q15_t)0x2a9, (q15_t)0x2a3, (q15_t)0x29d, (q15_t)0x296, (q15_t)0x290,
+ (q15_t)0x28a, (q15_t)0x283, (q15_t)0x27d, (q15_t)0x277, (q15_t)0x271, (q15_t)0x26a, (q15_t)0x264, (q15_t)0x25e,
+ (q15_t)0x258, (q15_t)0x251, (q15_t)0x24b, (q15_t)0x245, (q15_t)0x23e, (q15_t)0x238, (q15_t)0x232, (q15_t)0x22c,
+ (q15_t)0x225, (q15_t)0x21f, (q15_t)0x219, (q15_t)0x212, (q15_t)0x20c, (q15_t)0x206, (q15_t)0x200, (q15_t)0x1f9,
+ (q15_t)0x1f3, (q15_t)0x1ed, (q15_t)0x1e6, (q15_t)0x1e0, (q15_t)0x1da, (q15_t)0x1d4, (q15_t)0x1cd, (q15_t)0x1c7,
+ (q15_t)0x1c1, (q15_t)0x1ba, (q15_t)0x1b4, (q15_t)0x1ae, (q15_t)0x1a8, (q15_t)0x1a1, (q15_t)0x19b, (q15_t)0x195,
+ (q15_t)0x18e, (q15_t)0x188, (q15_t)0x182, (q15_t)0x17c, (q15_t)0x175, (q15_t)0x16f, (q15_t)0x169, (q15_t)0x162,
+ (q15_t)0x15c, (q15_t)0x156, (q15_t)0x150, (q15_t)0x149, (q15_t)0x143, (q15_t)0x13d, (q15_t)0x137, (q15_t)0x130,
+ (q15_t)0x12a, (q15_t)0x124, (q15_t)0x11d, (q15_t)0x117, (q15_t)0x111, (q15_t)0x10b, (q15_t)0x104, (q15_t)0xfe,
+ (q15_t)0xf8, (q15_t)0xf1, (q15_t)0xeb, (q15_t)0xe5, (q15_t)0xdf, (q15_t)0xd8, (q15_t)0xd2, (q15_t)0xcc,
+ (q15_t)0xc5, (q15_t)0xbf, (q15_t)0xb9, (q15_t)0xb3, (q15_t)0xac, (q15_t)0xa6, (q15_t)0xa0, (q15_t)0x99,
+ (q15_t)0x93, (q15_t)0x8d, (q15_t)0x87, (q15_t)0x80, (q15_t)0x7a, (q15_t)0x74, (q15_t)0x6d, (q15_t)0x67,
+ (q15_t)0x61, (q15_t)0x5b, (q15_t)0x54, (q15_t)0x4e, (q15_t)0x48, (q15_t)0x41, (q15_t)0x3b, (q15_t)0x35,
+ (q15_t)0x2f, (q15_t)0x28, (q15_t)0x22, (q15_t)0x1c, (q15_t)0x15, (q15_t)0xf, (q15_t)0x9, (q15_t)0x3
+};
+ #endif
+
+/**
+ @par
+ Weights tables are generated using the formula : weights[n] = e^(-j*n*pi/(2*N))+ @par + C command to generate the table +
+ for (i = 0; i< N; i++)
+ {
+ weights[(2*i)] = cos(i*c);
+ weights[(2*i)+1] = -sin(i*c);
+ }
+ @par
+ where N is the Number of weights to be calculated and c is pi/(2*N)
+ @par
+ Convert the output to q31 format by multiplying with 2^31 and saturated if required.
+ @par
+ In the tables below the real and imaginary values are placed alternatively, hence the
+ array length is 2*N.
+ */
+
+/**
+ @par
+ cosFactor tables are generated using the formula : cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))+ @par + C command to generate the table +
+ for (i = 0; i< N; i++)
+ {
+ cos_factors[i] = 2 * cos((2*i+1)*c/2);
+ }
+ @par
+ where N is the number of factors to generate and c is pi/(2*N)
+ @par
+ Then converted to q31 format by multiplying with 2^31 and saturated if required.
+*/
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)
+ const q31_t WeightsQ31_128[256] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3,
+ (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f872bf3, (q31_t)0xf50497fb,
+ (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31,
+ (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7dd6668f, (q31_t)0xe8922622,
+ (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7c894bde, (q31_t)0xe26cb01b,
+ (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7aef6323, (q31_t)0xdc597781,
+ (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x7909a92d, (q31_t)0xd65c3b7b,
+ (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x76d94989, (q31_t)0xd078ad9e,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x745f9dd1, (q31_t)0xcab26fa9,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x719e2cd2, (q31_t)0xc50d1149,
+ (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3,
+ (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6b4af279, (q31_t)0xba32ca71,
+ (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x67bd0fbd, (q31_t)0xb5049368,
+ (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x63ef3290, (q31_t)0xb0049ab3,
+ (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5,
+ (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5b9d1154, (q31_t)0xa69b9b68,
+ (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x571deefa, (q31_t)0xa2386284,
+ (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x5269126e, (q31_t)0x9e0effc1,
+ (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4d8162c4, (q31_t)0x9a22042d,
+ (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4869e665, (q31_t)0x9673db94,
+ (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4325c135, (q31_t)0x9306cb04,
+ (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3db832a6, (q31_t)0x8fdcef66,
+ (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x382493b0, (q31_t)0x8cf83c30,
+ (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x326e54c7, (q31_t)0x8a5a7a31,
+ (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2c98fbba, (q31_t)0x88054677,
+ (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x26a82186, (q31_t)0x85fa1153,
+ (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x209f701c, (q31_t)0x843a1d70,
+ (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1a82a026, (q31_t)0x82c67f14,
+ (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x145576b1, (q31_t)0x81a01b6d,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a,
+ (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x07d95b9e, (q31_t)0x803daa6a,
+ (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x01921d20, (q31_t)0x800277a6
+};
+ const q31_t cos_factorsQ31_128[128] = {
+ (q31_t)0x7fff6216, (q31_t)0x7ffa72d1, (q31_t)0x7ff09478, (q31_t)0x7fe1c76b, (q31_t)0x7fce0c3e, (q31_t)0x7fb563b3,
+ (q31_t)0x7f97cebd, (q31_t)0x7f754e80,
+ (q31_t)0x7f4de451, (q31_t)0x7f2191b4, (q31_t)0x7ef05860, (q31_t)0x7eba3a39, (q31_t)0x7e7f3957, (q31_t)0x7e3f57ff,
+ (q31_t)0x7dfa98a8, (q31_t)0x7db0fdf8,
+ (q31_t)0x7d628ac6, (q31_t)0x7d0f4218, (q31_t)0x7cb72724, (q31_t)0x7c5a3d50, (q31_t)0x7bf88830, (q31_t)0x7b920b89,
+ (q31_t)0x7b26cb4f, (q31_t)0x7ab6cba4,
+ (q31_t)0x7a4210d8, (q31_t)0x79c89f6e, (q31_t)0x794a7c12, (q31_t)0x78c7aba2, (q31_t)0x78403329, (q31_t)0x77b417df,
+ (q31_t)0x77235f2d, (q31_t)0x768e0ea6,
+ (q31_t)0x75f42c0b, (q31_t)0x7555bd4c, (q31_t)0x74b2c884, (q31_t)0x740b53fb, (q31_t)0x735f6626, (q31_t)0x72af05a7,
+ (q31_t)0x71fa3949, (q31_t)0x71410805,
+ (q31_t)0x708378ff, (q31_t)0x6fc19385, (q31_t)0x6efb5f12, (q31_t)0x6e30e34a, (q31_t)0x6d6227fa, (q31_t)0x6c8f351c,
+ (q31_t)0x6bb812d1, (q31_t)0x6adcc964,
+ (q31_t)0x69fd614a, (q31_t)0x6919e320, (q31_t)0x683257ab, (q31_t)0x6746c7d8, (q31_t)0x66573cbb, (q31_t)0x6563bf92,
+ (q31_t)0x646c59bf, (q31_t)0x637114cc,
+ (q31_t)0x6271fa69, (q31_t)0x616f146c, (q31_t)0x60686ccf, (q31_t)0x5f5e0db3, (q31_t)0x5e50015d, (q31_t)0x5d3e5237,
+ (q31_t)0x5c290acc, (q31_t)0x5b1035cf,
+ (q31_t)0x59f3de12, (q31_t)0x58d40e8c, (q31_t)0x57b0d256, (q31_t)0x568a34a9, (q31_t)0x556040e2, (q31_t)0x5433027d,
+ (q31_t)0x53028518, (q31_t)0x51ced46e,
+ (q31_t)0x5097fc5e, (q31_t)0x4f5e08e3, (q31_t)0x4e210617, (q31_t)0x4ce10034, (q31_t)0x4b9e0390, (q31_t)0x4a581c9e,
+ (q31_t)0x490f57ee, (q31_t)0x47c3c22f,
+ (q31_t)0x46756828, (q31_t)0x452456bd, (q31_t)0x43d09aed, (q31_t)0x427a41d0, (q31_t)0x4121589b, (q31_t)0x3fc5ec98,
+ (q31_t)0x3e680b2c, (q31_t)0x3d07c1d6,
+ (q31_t)0x3ba51e29, (q31_t)0x3a402dd2, (q31_t)0x38d8fe93, (q31_t)0x376f9e46, (q31_t)0x36041ad9, (q31_t)0x34968250,
+ (q31_t)0x3326e2c3, (q31_t)0x31b54a5e,
+ (q31_t)0x3041c761, (q31_t)0x2ecc681e, (q31_t)0x2d553afc, (q31_t)0x2bdc4e6f, (q31_t)0x2a61b101, (q31_t)0x28e5714b,
+ (q31_t)0x27679df4, (q31_t)0x25e845b6,
+ (q31_t)0x24677758, (q31_t)0x22e541af, (q31_t)0x2161b3a0, (q31_t)0x1fdcdc1b, (q31_t)0x1e56ca1e, (q31_t)0x1ccf8cb3,
+ (q31_t)0x1b4732ef, (q31_t)0x19bdcbf3,
+ (q31_t)0x183366e9, (q31_t)0x16a81305, (q31_t)0x151bdf86, (q31_t)0x138edbb1, (q31_t)0x120116d5, (q31_t)0x1072a048,
+ (q31_t)0xee38766, (q31_t)0xd53db92,
+ (q31_t)0xbc3ac35, (q31_t)0xa3308bd, (q31_t)0x8a2009a, (q31_t)0x710a345, (q31_t)0x57f0035, (q31_t)0x3ed26e6, (q31_t)0x25b26d7,
+ (q31_t)0xc90f88
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512)
+ const q31_t WeightsQ31_512[1024] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f,
+ (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff871a2, (q31_t)0xfd40565c,
+ (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fed5791, (q31_t)0xfbae5e89,
+ (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157,
+ (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fc85854, (q31_t)0xf88afe42,
+ (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6,
+ (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b,
+ (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77,
+ (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f434563, (q31_t)0xf2482c8a,
+ (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401,
+ (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7ee34636, (q31_t)0xef29b243,
+ (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eabef2c, (q31_t)0xed9b66b2,
+ (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8,
+ (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a,
+ (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7de8a670, (q31_t)0xe8f50273,
+ (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8,
+ (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5,
+ (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb,
+ (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3,
+ (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c4242f2, (q31_t)0xe14794ba,
+ (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3,
+ (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b77ada8, (q31_t)0xde3d4964,
+ (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008,
+ (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd,
+ (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a24256f, (q31_t)0xd9b7c094,
+ (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79a98715, (q31_t)0xd838c82d,
+ (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x792a37fe, (q31_t)0xd6bb585e,
+ (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78a63d11, (q31_t)0xd53f7fda,
+ (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x781d9b65, (q31_t)0xd3c54d47,
+ (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x7790583e, (q31_t)0xd24ccf39,
+ (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x76fe790e, (q31_t)0xd0d61434,
+ (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x76680376, (q31_t)0xcf612aaa,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ccfd42, (q31_t)0xcdee20fc,
+ (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x752d6c6c, (q31_t)0xcc7d0578,
+ (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x7489571c, (q31_t)0xcb0de658,
+ (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x7333b883, (q31_t)0xc835d5d0,
+ (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72823c67, (q31_t)0xc6cd0079,
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+ (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x24070b08, (q31_t)0x852cc2bb,
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+ (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21009c0c, (q31_t)0x8453e2cf,
+ (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1f7b7481, (q31_t)0x83ee97ad,
+ (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1df5163f, (q31_t)0x838e1507,
+ (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1c6d9053, (q31_t)0x83325e97,
+ (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5,
+ (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x195b49ea, (q31_t)0x8289644b,
+ (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x17d0a7bc, (q31_t)0x823c26f3,
+ (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16451a83, (q31_t)0x81f3c2d7,
+ (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x14b8b17f, (q31_t)0x81b03ac2,
+ (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x132b7bf9, (q31_t)0x8171914e,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x119d8941, (q31_t)0x8137c8e6,
+ (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x100ee8ad, (q31_t)0x8102e3c4,
+ (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0f475bff, (q31_t)0x80ea4712, (q31_t)0x0ee38766, (q31_t)0x80de6e4c, (q31_t)0x0e7fa99e, (q31_t)0x80d2e3f2,
+ (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a, (q31_t)0x0db7d376, (q31_t)0x80bcba9d, (q31_t)0x0d53db92, (q31_t)0x80b21baf, (q31_t)0x0cefdb76, (q31_t)0x80a7cb49,
+ (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0c27c389, (q31_t)0x8094162c, (q31_t)0x0bc3ac35, (q31_t)0x808ab180, (q31_t)0x0b5f8d9f, (q31_t)0x80819b74,
+ (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x0a973ba5, (q31_t)0x80705b50, (q31_t)0x0a3308bd, (q31_t)0x80683143, (q31_t)0x09cecf89, (q31_t)0x806055eb,
+ (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x09064b3a, (q31_t)0x80518b6b, (q31_t)0x08a2009a, (q31_t)0x804a9c4d, (q31_t)0x083db0a7, (q31_t)0x8043fbf6,
+ (q31_t)0x07d95b9e, (q31_t)0x803daa6a, (q31_t)0x077501be, (q31_t)0x8037a7ac, (q31_t)0x0710a345, (q31_t)0x8031f3c2, (q31_t)0x06ac406f, (q31_t)0x802c8ead,
+ (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x05e36ea9, (q31_t)0x8022b114, (q31_t)0x057f0035, (q31_t)0x801e3895, (q31_t)0x051a8e5c, (q31_t)0x801a0ef8,
+ (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x0451a177, (q31_t)0x8012a86f, (q31_t)0x03ed26e6, (q31_t)0x800f6b88, (q31_t)0x0388a9ea, (q31_t)0x800c7d8c,
+ (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x02bfa9a4, (q31_t)0x80078e5e, (q31_t)0x025b26d7, (q31_t)0x80058d2f, (q31_t)0x01f6a297, (q31_t)0x8003daf1,
+ (q31_t)0x01921d20, (q31_t)0x800277a6, (q31_t)0x012d96b1, (q31_t)0x8001634e, (q31_t)0x00c90f88, (q31_t)0x80009dea, (q31_t)0x006487e3, (q31_t)0x8000277a
+};
+ const q31_t cos_factorsQ31_512[512] = {
+ (q31_t)0x7ffff621, (q31_t)0x7fffa72c, (q31_t)0x7fff0943, (q31_t)0x7ffe1c65, (q31_t)0x7ffce093, (q31_t)0x7ffb55ce,
+ (q31_t)0x7ff97c18, (q31_t)0x7ff75370,
+ (q31_t)0x7ff4dbd9, (q31_t)0x7ff21553, (q31_t)0x7feeffe1, (q31_t)0x7feb9b85, (q31_t)0x7fe7e841, (q31_t)0x7fe3e616,
+ (q31_t)0x7fdf9508, (q31_t)0x7fdaf519,
+ (q31_t)0x7fd6064c, (q31_t)0x7fd0c8a3, (q31_t)0x7fcb3c23, (q31_t)0x7fc560cf, (q31_t)0x7fbf36aa, (q31_t)0x7fb8bdb8,
+ (q31_t)0x7fb1f5fc, (q31_t)0x7faadf7c,
+ (q31_t)0x7fa37a3c, (q31_t)0x7f9bc640, (q31_t)0x7f93c38c, (q31_t)0x7f8b7227, (q31_t)0x7f82d214, (q31_t)0x7f79e35a,
+ (q31_t)0x7f70a5fe, (q31_t)0x7f671a05,
+ (q31_t)0x7f5d3f75, (q31_t)0x7f531655, (q31_t)0x7f489eaa, (q31_t)0x7f3dd87c, (q31_t)0x7f32c3d1, (q31_t)0x7f2760af,
+ (q31_t)0x7f1baf1e, (q31_t)0x7f0faf25,
+ (q31_t)0x7f0360cb, (q31_t)0x7ef6c418, (q31_t)0x7ee9d914, (q31_t)0x7edc9fc6, (q31_t)0x7ecf1837, (q31_t)0x7ec14270,
+ (q31_t)0x7eb31e78, (q31_t)0x7ea4ac58,
+ (q31_t)0x7e95ec1a, (q31_t)0x7e86ddc6, (q31_t)0x7e778166, (q31_t)0x7e67d703, (q31_t)0x7e57dea7, (q31_t)0x7e47985b,
+ (q31_t)0x7e37042a, (q31_t)0x7e26221f,
+ (q31_t)0x7e14f242, (q31_t)0x7e0374a0, (q31_t)0x7df1a942, (q31_t)0x7ddf9034, (q31_t)0x7dcd2981, (q31_t)0x7dba7534,
+ (q31_t)0x7da77359, (q31_t)0x7d9423fc,
+ (q31_t)0x7d808728, (q31_t)0x7d6c9ce9, (q31_t)0x7d58654d, (q31_t)0x7d43e05e, (q31_t)0x7d2f0e2b, (q31_t)0x7d19eebf,
+ (q31_t)0x7d048228, (q31_t)0x7ceec873,
+ (q31_t)0x7cd8c1ae, (q31_t)0x7cc26de5, (q31_t)0x7cabcd28, (q31_t)0x7c94df83, (q31_t)0x7c7da505, (q31_t)0x7c661dbc,
+ (q31_t)0x7c4e49b7, (q31_t)0x7c362904,
+ (q31_t)0x7c1dbbb3, (q31_t)0x7c0501d2, (q31_t)0x7bebfb70, (q31_t)0x7bd2a89e, (q31_t)0x7bb9096b, (q31_t)0x7b9f1de6,
+ (q31_t)0x7b84e61f, (q31_t)0x7b6a6227,
+ (q31_t)0x7b4f920e, (q31_t)0x7b3475e5, (q31_t)0x7b190dbc, (q31_t)0x7afd59a4, (q31_t)0x7ae159ae, (q31_t)0x7ac50dec,
+ (q31_t)0x7aa8766f, (q31_t)0x7a8b9348,
+ (q31_t)0x7a6e648a, (q31_t)0x7a50ea47, (q31_t)0x7a332490, (q31_t)0x7a151378, (q31_t)0x79f6b711, (q31_t)0x79d80f6f,
+ (q31_t)0x79b91ca4, (q31_t)0x7999dec4,
+ (q31_t)0x797a55e0, (q31_t)0x795a820e, (q31_t)0x793a6361, (q31_t)0x7919f9ec, (q31_t)0x78f945c3, (q31_t)0x78d846fb,
+ (q31_t)0x78b6fda8, (q31_t)0x789569df,
+ (q31_t)0x78738bb3, (q31_t)0x7851633b, (q31_t)0x782ef08b, (q31_t)0x780c33b8, (q31_t)0x77e92cd9, (q31_t)0x77c5dc01,
+ (q31_t)0x77a24148, (q31_t)0x777e5cc3,
+ (q31_t)0x775a2e89, (q31_t)0x7735b6af, (q31_t)0x7710f54c, (q31_t)0x76ebea77, (q31_t)0x76c69647, (q31_t)0x76a0f8d2,
+ (q31_t)0x767b1231, (q31_t)0x7654e279,
+ (q31_t)0x762e69c4, (q31_t)0x7607a828, (q31_t)0x75e09dbd, (q31_t)0x75b94a9c, (q31_t)0x7591aedd, (q31_t)0x7569ca99,
+ (q31_t)0x75419de7, (q31_t)0x751928e0,
+ (q31_t)0x74f06b9e, (q31_t)0x74c7663a, (q31_t)0x749e18cd, (q31_t)0x74748371, (q31_t)0x744aa63f, (q31_t)0x74208150,
+ (q31_t)0x73f614c0, (q31_t)0x73cb60a8,
+ (q31_t)0x73a06522, (q31_t)0x73752249, (q31_t)0x73499838, (q31_t)0x731dc70a, (q31_t)0x72f1aed9, (q31_t)0x72c54fc1,
+ (q31_t)0x7298a9dd, (q31_t)0x726bbd48,
+ (q31_t)0x723e8a20, (q31_t)0x7211107e, (q31_t)0x71e35080, (q31_t)0x71b54a41, (q31_t)0x7186fdde, (q31_t)0x71586b74,
+ (q31_t)0x7129931f, (q31_t)0x70fa74fc,
+ (q31_t)0x70cb1128, (q31_t)0x709b67c0, (q31_t)0x706b78e3, (q31_t)0x703b44ad, (q31_t)0x700acb3c, (q31_t)0x6fda0cae,
+ (q31_t)0x6fa90921, (q31_t)0x6f77c0b3,
+ (q31_t)0x6f463383, (q31_t)0x6f1461b0, (q31_t)0x6ee24b57, (q31_t)0x6eaff099, (q31_t)0x6e7d5193, (q31_t)0x6e4a6e66,
+ (q31_t)0x6e174730, (q31_t)0x6de3dc11,
+ (q31_t)0x6db02d29, (q31_t)0x6d7c3a98, (q31_t)0x6d48047e, (q31_t)0x6d138afb, (q31_t)0x6cdece2f, (q31_t)0x6ca9ce3b,
+ (q31_t)0x6c748b3f, (q31_t)0x6c3f055d,
+ (q31_t)0x6c093cb6, (q31_t)0x6bd3316a, (q31_t)0x6b9ce39b, (q31_t)0x6b66536b, (q31_t)0x6b2f80fb, (q31_t)0x6af86c6c,
+ (q31_t)0x6ac115e2, (q31_t)0x6a897d7d,
+ (q31_t)0x6a51a361, (q31_t)0x6a1987b0, (q31_t)0x69e12a8c, (q31_t)0x69a88c19, (q31_t)0x696fac78, (q31_t)0x69368bce,
+ (q31_t)0x68fd2a3d, (q31_t)0x68c387e9,
+ (q31_t)0x6889a4f6, (q31_t)0x684f8186, (q31_t)0x68151dbe, (q31_t)0x67da79c3, (q31_t)0x679f95b7, (q31_t)0x676471c0,
+ (q31_t)0x67290e02, (q31_t)0x66ed6aa1,
+ (q31_t)0x66b187c3, (q31_t)0x6675658c, (q31_t)0x66390422, (q31_t)0x65fc63a9, (q31_t)0x65bf8447, (q31_t)0x65826622,
+ (q31_t)0x6545095f, (q31_t)0x65076e25,
+ (q31_t)0x64c99498, (q31_t)0x648b7ce0, (q31_t)0x644d2722, (q31_t)0x640e9386, (q31_t)0x63cfc231, (q31_t)0x6390b34a,
+ (q31_t)0x635166f9, (q31_t)0x6311dd64,
+ (q31_t)0x62d216b3, (q31_t)0x6292130c, (q31_t)0x6251d298, (q31_t)0x6211557e, (q31_t)0x61d09be5, (q31_t)0x618fa5f7,
+ (q31_t)0x614e73da, (q31_t)0x610d05b7,
+ (q31_t)0x60cb5bb7, (q31_t)0x60897601, (q31_t)0x604754bf, (q31_t)0x6004f819, (q31_t)0x5fc26038, (q31_t)0x5f7f8d46,
+ (q31_t)0x5f3c7f6b, (q31_t)0x5ef936d1,
+ (q31_t)0x5eb5b3a2, (q31_t)0x5e71f606, (q31_t)0x5e2dfe29, (q31_t)0x5de9cc33, (q31_t)0x5da5604f, (q31_t)0x5d60baa7,
+ (q31_t)0x5d1bdb65, (q31_t)0x5cd6c2b5,
+ (q31_t)0x5c9170bf, (q31_t)0x5c4be5b0, (q31_t)0x5c0621b2, (q31_t)0x5bc024f0, (q31_t)0x5b79ef96, (q31_t)0x5b3381ce,
+ (q31_t)0x5aecdbc5, (q31_t)0x5aa5fda5,
+ (q31_t)0x5a5ee79a, (q31_t)0x5a1799d1, (q31_t)0x59d01475, (q31_t)0x598857b2, (q31_t)0x594063b5, (q31_t)0x58f838a9,
+ (q31_t)0x58afd6bd, (q31_t)0x58673e1b,
+ (q31_t)0x581e6ef1, (q31_t)0x57d5696d, (q31_t)0x578c2dba, (q31_t)0x5742bc06, (q31_t)0x56f9147e, (q31_t)0x56af3750,
+ (q31_t)0x566524aa, (q31_t)0x561adcb9,
+ (q31_t)0x55d05faa, (q31_t)0x5585adad, (q31_t)0x553ac6ee, (q31_t)0x54efab9c, (q31_t)0x54a45be6, (q31_t)0x5458d7f9,
+ (q31_t)0x540d2005, (q31_t)0x53c13439,
+ (q31_t)0x537514c2, (q31_t)0x5328c1d0, (q31_t)0x52dc3b92, (q31_t)0x528f8238, (q31_t)0x524295f0, (q31_t)0x51f576ea,
+ (q31_t)0x51a82555, (q31_t)0x515aa162,
+ (q31_t)0x510ceb40, (q31_t)0x50bf031f, (q31_t)0x5070e92f, (q31_t)0x50229da1, (q31_t)0x4fd420a4, (q31_t)0x4f857269,
+ (q31_t)0x4f369320, (q31_t)0x4ee782fb,
+ (q31_t)0x4e984229, (q31_t)0x4e48d0dd, (q31_t)0x4df92f46, (q31_t)0x4da95d96, (q31_t)0x4d595bfe, (q31_t)0x4d092ab0,
+ (q31_t)0x4cb8c9dd, (q31_t)0x4c6839b7,
+ (q31_t)0x4c177a6e, (q31_t)0x4bc68c36, (q31_t)0x4b756f40, (q31_t)0x4b2423be, (q31_t)0x4ad2a9e2, (q31_t)0x4a8101de,
+ (q31_t)0x4a2f2be6, (q31_t)0x49dd282a,
+ (q31_t)0x498af6df, (q31_t)0x49389836, (q31_t)0x48e60c62, (q31_t)0x48935397, (q31_t)0x48406e08, (q31_t)0x47ed5be6,
+ (q31_t)0x479a1d67, (q31_t)0x4746b2bc,
+ (q31_t)0x46f31c1a, (q31_t)0x469f59b4, (q31_t)0x464b6bbe, (q31_t)0x45f7526b, (q31_t)0x45a30df0, (q31_t)0x454e9e80,
+ (q31_t)0x44fa0450, (q31_t)0x44a53f93,
+ (q31_t)0x4450507e, (q31_t)0x43fb3746, (q31_t)0x43a5f41e, (q31_t)0x4350873c, (q31_t)0x42faf0d4, (q31_t)0x42a5311b,
+ (q31_t)0x424f4845, (q31_t)0x41f93689,
+ (q31_t)0x41a2fc1a, (q31_t)0x414c992f, (q31_t)0x40f60dfb, (q31_t)0x409f5ab6, (q31_t)0x40487f94, (q31_t)0x3ff17cca,
+ (q31_t)0x3f9a5290, (q31_t)0x3f430119,
+ (q31_t)0x3eeb889c, (q31_t)0x3e93e950, (q31_t)0x3e3c2369, (q31_t)0x3de4371f, (q31_t)0x3d8c24a8, (q31_t)0x3d33ec39,
+ (q31_t)0x3cdb8e09, (q31_t)0x3c830a50,
+ (q31_t)0x3c2a6142, (q31_t)0x3bd19318, (q31_t)0x3b78a007, (q31_t)0x3b1f8848, (q31_t)0x3ac64c0f, (q31_t)0x3a6ceb96,
+ (q31_t)0x3a136712, (q31_t)0x39b9bebc,
+ (q31_t)0x395ff2c9, (q31_t)0x39060373, (q31_t)0x38abf0ef, (q31_t)0x3851bb77, (q31_t)0x37f76341, (q31_t)0x379ce885,
+ (q31_t)0x37424b7b, (q31_t)0x36e78c5b,
+ (q31_t)0x368cab5c, (q31_t)0x3631a8b8, (q31_t)0x35d684a6, (q31_t)0x357b3f5d, (q31_t)0x351fd918, (q31_t)0x34c4520d,
+ (q31_t)0x3468aa76, (q31_t)0x340ce28b,
+ (q31_t)0x33b0fa84, (q31_t)0x3354f29b, (q31_t)0x32f8cb07, (q31_t)0x329c8402, (q31_t)0x32401dc6, (q31_t)0x31e39889,
+ (q31_t)0x3186f487, (q31_t)0x312a31f8,
+ (q31_t)0x30cd5115, (q31_t)0x30705217, (q31_t)0x30133539, (q31_t)0x2fb5fab2, (q31_t)0x2f58a2be, (q31_t)0x2efb2d95,
+ (q31_t)0x2e9d9b70, (q31_t)0x2e3fec8b,
+ (q31_t)0x2de2211e, (q31_t)0x2d843964, (q31_t)0x2d263596, (q31_t)0x2cc815ee, (q31_t)0x2c69daa6, (q31_t)0x2c0b83fa,
+ (q31_t)0x2bad1221, (q31_t)0x2b4e8558,
+ (q31_t)0x2aefddd8, (q31_t)0x2a911bdc, (q31_t)0x2a323f9e, (q31_t)0x29d34958, (q31_t)0x29743946, (q31_t)0x29150fa1,
+ (q31_t)0x28b5cca5, (q31_t)0x2856708d,
+ (q31_t)0x27f6fb92, (q31_t)0x27976df1, (q31_t)0x2737c7e3, (q31_t)0x26d809a5, (q31_t)0x26783370, (q31_t)0x26184581,
+ (q31_t)0x25b84012, (q31_t)0x2558235f,
+ (q31_t)0x24f7efa2, (q31_t)0x2497a517, (q31_t)0x243743fa, (q31_t)0x23d6cc87, (q31_t)0x23763ef7, (q31_t)0x23159b88,
+ (q31_t)0x22b4e274, (q31_t)0x225413f8,
+ (q31_t)0x21f3304f, (q31_t)0x219237b5, (q31_t)0x21312a65, (q31_t)0x20d0089c, (q31_t)0x206ed295, (q31_t)0x200d888d,
+ (q31_t)0x1fac2abf, (q31_t)0x1f4ab968,
+ (q31_t)0x1ee934c3, (q31_t)0x1e879d0d, (q31_t)0x1e25f282, (q31_t)0x1dc4355e, (q31_t)0x1d6265dd, (q31_t)0x1d00843d,
+ (q31_t)0x1c9e90b8, (q31_t)0x1c3c8b8c,
+ (q31_t)0x1bda74f6, (q31_t)0x1b784d30, (q31_t)0x1b161479, (q31_t)0x1ab3cb0d, (q31_t)0x1a517128, (q31_t)0x19ef0707,
+ (q31_t)0x198c8ce7, (q31_t)0x192a0304,
+ (q31_t)0x18c7699b, (q31_t)0x1864c0ea, (q31_t)0x1802092c, (q31_t)0x179f429f, (q31_t)0x173c6d80, (q31_t)0x16d98a0c,
+ (q31_t)0x1676987f, (q31_t)0x16139918,
+ (q31_t)0x15b08c12, (q31_t)0x154d71aa, (q31_t)0x14ea4a1f, (q31_t)0x148715ae, (q31_t)0x1423d492, (q31_t)0x13c0870a,
+ (q31_t)0x135d2d53, (q31_t)0x12f9c7aa,
+ (q31_t)0x1296564d, (q31_t)0x1232d979, (q31_t)0x11cf516a, (q31_t)0x116bbe60, (q31_t)0x11082096, (q31_t)0x10a4784b,
+ (q31_t)0x1040c5bb, (q31_t)0xfdd0926,
+ (q31_t)0xf7942c7, (q31_t)0xf1572dc, (q31_t)0xeb199a4, (q31_t)0xe4db75b, (q31_t)0xde9cc40, (q31_t)0xd85d88f, (q31_t)0xd21dc87,
+ (q31_t)0xcbdd865,
+ (q31_t)0xc59cc68, (q31_t)0xbf5b8cb, (q31_t)0xb919dcf, (q31_t)0xb2d7baf, (q31_t)0xac952aa, (q31_t)0xa6522fe, (q31_t)0xa00ece8,
+ (q31_t)0x99cb0a7,
+ (q31_t)0x9386e78, (q31_t)0x8d42699, (q31_t)0x86fd947, (q31_t)0x80b86c2, (q31_t)0x7a72f45, (q31_t)0x742d311, (q31_t)0x6de7262,
+ (q31_t)0x67a0d76,
+ (q31_t)0x615a48b, (q31_t)0x5b137df, (q31_t)0x54cc7b1, (q31_t)0x4e8543e, (q31_t)0x483ddc3, (q31_t)0x41f6480, (q31_t)0x3bae8b2,
+ (q31_t)0x3566a96,
+ (q31_t)0x2f1ea6c, (q31_t)0x28d6870, (q31_t)0x228e4e2, (q31_t)0x1c45ffe, (q31_t)0x15fda03, (q31_t)0xfb5330, (q31_t)0x96cbc1,
+ (q31_t)0x3243f5
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048)
+ const q31_t WeightsQ31_2048[4096] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7fffe9cb, (q31_t)0xffb49a12,
+ (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff8719, (q31_t)0xff501258,
+ (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a,
+ (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffdd4d7, (q31_t)0xfe870467,
+ (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffc8549, (q31_t)0xfe227eac,
+ (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18,
+ (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff8f954, (q31_t)0xfd5976e9,
+ (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c,
+ (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4319d, (q31_t)0xfc9075af,
+ (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1575d, (q31_t)0xfc2bf821,
+ (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0,
+ (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feab61a, (q31_t)0xfb630459,
+ (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe8dc78, (q31_t)0xfb30c91b, (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe6ef1c, (q31_t)0xfafe8e9b,
+ (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3,
+ (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe0b0b1, (q31_t)0xfa67e3da, (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fde7471, (q31_t)0xfa35ac9f,
+ (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdaf519, (q31_t)0xf9ea5b75, (q31_t)0x7fd9c0ca, (q31_t)0xf9d140de,
+ (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd74964, (q31_t)0xf99f0c68, (q31_t)0x7fd6064c, (q31_t)0xf985f28a, (q31_t)0x7fd4be46, (q31_t)0xf96cd8ed,
+ (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fd21f72, (q31_t)0xf93aa676, (q31_t)0x7fd0c8a3, (q31_t)0xf9218d9e, (q31_t)0x7fcf6ce8, (q31_t)0xf908750a,
+ (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcca6a7, (q31_t)0xf8d644b2, (q31_t)0x7fcb3c23, (q31_t)0xf8bd2cef, (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574,
+ (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc6df08, (q31_t)0xf871e759, (q31_t)0x7fc560cf, (q31_t)0xf858d0bb, (q31_t)0x7fc3dda9, (q31_t)0xf83fba68,
+ (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc0c896, (q31_t)0xf80d8ea9, (q31_t)0x7fbf36aa, (q31_t)0xf7f4793e, (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423,
+ (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb7132b, (q31_t)0xf77712e5,
+ (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb037bf, (q31_t)0xf712c6ea,
+ (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071,
+ (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8,
+ (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc,
+ (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f95cb9a, (q31_t)0xf5b3e9f0, (q31_t)0x7f93c38c, (q31_t)0xf59add02, (q31_t)0x7f91b694, (q31_t)0xf581d07b,
+ (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, (q31_t)0x7f8d8de1, (q31_t)0xf54fb8a4, (q31_t)0x7f8b7227, (q31_t)0xf536ad56, (q31_t)0x7f895182, (q31_t)0xf51da273,
+ (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f850179, (q31_t)0xf4eb8def, (q31_t)0x7f82d214, (q31_t)0xf4d28451, (q31_t)0x7f809dc5, (q31_t)0xf4b97b21,
+ (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f7c2668, (q31_t)0xf4876a10, (q31_t)0x7f79e35a, (q31_t)0xf46e6231, (q31_t)0x7f779b62, (q31_t)0xf4555ac5,
+ (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f72fcb4, (q31_t)0xf4234d45, (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a,
+ (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, (q31_t)0x7f698461, (q31_t)0xf3bf37cb, (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f64aabf, (q31_t)0xf38d2fe0,
+ (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5fbd77, (q31_t)0xf35b29e0, (q31_t)0x7f5d3f75, (q31_t)0xf342279b, (q31_t)0x7f5abc8a, (q31_t)0xf32925d3,
+ (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f55a7fa, (q31_t)0xf2f723c1, (q31_t)0x7f531655, (q31_t)0xf2de2379, (q31_t)0x7f507fc7, (q31_t)0xf2c523b2,
+ (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f4b43f2, (q31_t)0xf29325ad, (q31_t)0x7f489eaa, (q31_t)0xf27a2771, (q31_t)0x7f45f47b, (q31_t)0xf26129ba,
+ (q31_t)0x7f434563, (q31_t)0xf2482c8a, (q31_t)0x7f409164, (q31_t)0xf22f2fe1, (q31_t)0x7f3dd87c, (q31_t)0xf21633c0, (q31_t)0x7f3b1aad, (q31_t)0xf1fd3829,
+ (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f359057, (q31_t)0xf1cb429a, (q31_t)0x7f32c3d1, (q31_t)0xf1b248a5, (q31_t)0x7f2ff263, (q31_t)0xf1994f3d,
+ (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2a40d2, (q31_t)0xf1675e17, (q31_t)0x7f2760af, (q31_t)0xf14e665c, (q31_t)0x7f247ba5, (q31_t)0xf1356f32,
+ (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f18b679, (q31_t)0xf0d19848,
+ (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba,
+ (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f067bba, (q31_t)0xf03be78a, (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f0040f6, (q31_t)0xf00a06c8,
+ (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef390ae, (q31_t)0xefa64cae,
+ (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee69217, (q31_t)0xef429caa,
+ (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7edff570, (q31_t)0xef10c883, (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7ed94538, (q31_t)0xeedef6f9,
+ (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9,
+ (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec14270, (q31_t)0xee30ae96, (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88,
+ (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eaf8943, (q31_t)0xedb44642,
+ (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea1039b, (q31_t)0xed50cc46,
+ (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e922fd6, (q31_t)0xeced5dd0,
+ (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e830dff, (q31_t)0xec89fb1e,
+ (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e739e1d, (q31_t)0xec26a46d,
+ (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e67d703, (q31_t)0xebdc2b6e, (q31_t)0x7e63e03b, (q31_t)0xebc359fb,
+ (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e5be40c, (q31_t)0xeb91b96c, (q31_t)0x7e57dea7, (q31_t)0xeb78ea52, (q31_t)0x7e53d462, (q31_t)0xeb601c04,
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+ (q31_t)0x76fe790e, (q31_t)0xd0d61434, (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e29c4b, (q31_t)0xd0900486,
+ (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76cff232, (q31_t)0xd061588b, (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76bd35c7, (q31_t)0xd032b3e7,
+ (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x76978605, (q31_t)0xcfd580c6,
+ (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x76718d1c, (q31_t)0xcf786b5a,
+ (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x764b4b23, (q31_t)0xcf1b73de,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x7624c031, (q31_t)0xcebe9a8a,
+ (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x75fdec60, (q31_t)0xce61df99,
+ (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75d6cfc5, (q31_t)0xce054343,
+ (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75af6a7b, (q31_t)0xcda8c5c1,
+ (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x7587bc98, (q31_t)0xcd4c674d,
+ (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x755fc635, (q31_t)0xccf0281f,
+ (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x7537876c, (q31_t)0xcc940871,
+ (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x750f0054, (q31_t)0xcc38087b,
+ (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74e63108, (q31_t)0xcbdc2876,
+ (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74bd199f, (q31_t)0xcb80689a,
+ (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x7493ba34, (q31_t)0xcb24c921,
+ (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x746a12df, (q31_t)0xcac94a42,
+ (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x744023bc, (q31_t)0xca6dec37,
+ (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x7415ece2, (q31_t)0xca12af37,
+ (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a,
+ (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c0a878, (q31_t)0xc95c993a,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x73959b1b, (q31_t)0xc901c0ae,
+ (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x736a4671, (q31_t)0xc8a70a0e,
+ (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x733eaa96, (q31_t)0xc84c7593,
+ (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x7312c7a5, (q31_t)0xc7f20373,
+ (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72e69db7, (q31_t)0xc797b3e7,
+ (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72ba2cea, (q31_t)0xc73d8727,
+ (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x728d7557, (q31_t)0xc6e37d69,
+ (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7260771b, (q31_t)0xc68996e7,
+ (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x72333251, (q31_t)0xc62fd3d6,
+ (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x7205a716, (q31_t)0xc5d6346f,
+ (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71d7d585, (q31_t)0xc57cb8e9,
+ (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71a9bdba, (q31_t)0xc523617a,
+ (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b,
+ (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x714cbbeb, (q31_t)0xc4711fc2,
+ (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x711dd220, (q31_t)0xc41835e6,
+ (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70eea28e, (q31_t)0xc3bf70fd,
+ (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70bf2d53, (q31_t)0xc366d140,
+ (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x708f728b, (q31_t)0xc30e56e4,
+ (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x705f7255, (q31_t)0xc2b6021f,
+ (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x702f2ccd, (q31_t)0xc25dd329,
+ (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x6ffea212, (q31_t)0xc205ca38,
+ (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fcdd241, (q31_t)0xc1ade781,
+ (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d,
+ (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f,
+ (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f39c57d, (q31_t)0xc0a726df,
+ (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f07e285, (q31_t)0xc04fdf32,
+ (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6ed5bb10, (q31_t)0xbff8bece,
+ (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea,
+ (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba,
+ (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e3daaf8, (q31_t)0xbef44b74,
+ (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e,
+ (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c,
+ (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6da336dc, (q31_t)0xbdf14135,
+ (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad,
+ (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a,
+ (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d066215, (q31_t)0xbcefa5b0,
+ (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5,
+ (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cb71482, (q31_t)0xbc6f6333, (q31_t)0x6ca9ce3b, (q31_t)0xbc5a0be2, (q31_t)0x6c9c83c3, (q31_t)0xbc44b72c,
+ (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c81e245, (q31_t)0xbc1a1598, (q31_t)0x6c748b3f, (q31_t)0xbc04c8ba, (q31_t)0x6c67300b, (q31_t)0xbbef7e7c,
+ (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, (q31_t)0x6c4c6d1a, (q31_t)0xbbc4f1df, (q31_t)0x6c3f055d, (q31_t)0xbbafaf82, (q31_t)0x6c319975, (q31_t)0xbb9a6fc7,
+ (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6c16b521, (q31_t)0xbb6ff83c, (q31_t)0x6c093cb6, (q31_t)0xbb5ac06d, (q31_t)0x6bfbc021, (q31_t)0xbb458b43,
+ (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6be0ba7b, (q31_t)0xbb1b28e4, (q31_t)0x6bd3316a, (q31_t)0xbb05fbb0, (q31_t)0x6bc5a431, (q31_t)0xbaf0d125,
+ (q31_t)0x6bb812d1, (q31_t)0xbadba943, (q31_t)0x6baa7d49, (q31_t)0xbac6840c, (q31_t)0x6b9ce39b, (q31_t)0xbab16180, (q31_t)0x6b8f45c7, (q31_t)0xba9c41a0,
+ (q31_t)0x6b81a3cd, (q31_t)0xba87246d, (q31_t)0x6b73fdae, (q31_t)0xba7209e7, (q31_t)0x6b66536b, (q31_t)0xba5cf210, (q31_t)0x6b58a503, (q31_t)0xba47dce8,
+ (q31_t)0x6b4af279, (q31_t)0xba32ca71, (q31_t)0x6b3d3bcb, (q31_t)0xba1dbaaa, (q31_t)0x6b2f80fb, (q31_t)0xba08ad95, (q31_t)0x6b21c208, (q31_t)0xb9f3a332,
+ (q31_t)0x6b13fef5, (q31_t)0xb9de9b83, (q31_t)0x6b0637c1, (q31_t)0xb9c99688, (q31_t)0x6af86c6c, (q31_t)0xb9b49442, (q31_t)0x6aea9cf8, (q31_t)0xb99f94b2,
+ (q31_t)0x6adcc964, (q31_t)0xb98a97d8, (q31_t)0x6acef1b2, (q31_t)0xb9759db6, (q31_t)0x6ac115e2, (q31_t)0xb960a64c, (q31_t)0x6ab335f4, (q31_t)0xb94bb19b,
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+ (q31_t)0x3158970e, (q31_t)0x89e4edef, (q31_t)0x31416576, (q31_t)0x89db3fcf, (q31_t)0x312a31f8, (q31_t)0x89d1963c, (q31_t)0x3112fc95, (q31_t)0x89c7f138,
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+ (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x308794a6, (q31_t)0x898e72e4, (q31_t)0x30705217, (q31_t)0x8984edcf, (q31_t)0x30590dab, (q31_t)0x897b6d4c,
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+ (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f6ffb7a, (q31_t)0x891d63b5, (q31_t)0x2f58a2be, (q31_t)0x89141589, (q31_t)0x2f41482e, (q31_t)0x890acbf2,
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+ (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d0eb046, (q31_t)0x883148db,
+ (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cb089b1, (q31_t)0x880e0a7f,
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+ (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5,
+ (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2b957173, (q31_t)0x87a60bb1,
+ (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, (q31_t)0x2b662b0e, (q31_t)0x8794f774, (q31_t)0x2b4e8558, (q31_t)0x878c744d, (q31_t)0x2b36ddf7, (q31_t)0x8783f5ca,
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+ (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2aa8ced3, (q31_t)0x87516050, (q31_t)0x2a911bdc, (q31_t)0x87490258, (q31_t)0x2a796740, (q31_t)0x8740a907,
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+ (q31_t)0x22847de0, (q31_t)0x84bdf286, (q31_t)0x226c4996, (q31_t)0x84b72ddb, (q31_t)0x225413f8, (q31_t)0x84b06df2, (q31_t)0x223bdd08, (q31_t)0x84a9b2ca,
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+ (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c861113, (q31_t)0x8337f5f1,
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+ (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b5fc097, (q31_t)0x82f61b77,
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+ (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x1973ebe6, (q31_t)0x828e6146,
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+ (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17e958ea, (q31_t)0x8240d673,
+ (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x17868eb3, (q31_t)0x822e358b,
+ (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x1723b5f9, (q31_t)0x821be240,
+ (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16c0cef9, (q31_t)0x8209dc9e,
+ (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x165dd9f0, (q31_t)0x81f824ae,
+ (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x15fad71b, (q31_t)0x81e6ba7c,
+ (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x1597c6b7, (q31_t)0x81d59e13,
+ (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x1534a901, (q31_t)0x81c4cf7d,
+ (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14d17e36, (q31_t)0x81b44ec4,
+ (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x146e4694, (q31_t)0x81a41bf4,
+ (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x140b0258, (q31_t)0x81943715,
+ (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13a7b1bf, (q31_t)0x8184a032,
+ (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x13445505, (q31_t)0x81755754,
+ (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12e0ec6a, (q31_t)0x81665c84,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x127d7829, (q31_t)0x8157afcd,
+ (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x1219f880, (q31_t)0x81495136,
+ (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11b66dad, (q31_t)0x813b40ca,
+ (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x1152d7ed, (q31_t)0x812d7e8f,
+ (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x10ef377d, (q31_t)0x81200a90,
+ (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x108b8c9b, (q31_t)0x8112e4d4,
+ (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x1027d784, (q31_t)0x81060d63,
+ (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfc41876, (q31_t)0x80f98446,
+ (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf604faf, (q31_t)0x80ed4984,
+ (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xefc7d6b, (q31_t)0x80e15d24,
+ (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e,
+ (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe34bd66, (q31_t)0x80ca6fa9,
+ (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c,
+ (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd6cda53, (q31_t)0x80b4bc0e,
+ (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd08dc3f, (q31_t)0x80aa5806,
+ (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xca4d620, (q31_t)0x80a04289,
+ (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc40c835, (q31_t)0x80967b9f,
+ (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbdcb2bb, (q31_t)0x808d034c,
+ (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb7895f0, (q31_t)0x8083d998,
+ (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb147211, (q31_t)0x807afe87,
+ (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xab0475c, (q31_t)0x8072721f,
+ (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa4c1610, (q31_t)0x806a3466,
+ (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9e7de6a, (q31_t)0x80624560,
+ (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x983a0a7, (q31_t)0x805aa512,
+ (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x91f5d06, (q31_t)0x80535381,
+ (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8bb13c5, (q31_t)0x804c50b2,
+ (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x856c520, (q31_t)0x80459ca9,
+ (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x7f27157, (q31_t)0x803f376a,
+ (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x78e18a7, (q31_t)0x803920f8,
+ (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x729bb4e, (q31_t)0x80335959,
+ (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6c5598a, (q31_t)0x802de08e,
+ (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x660f398, (q31_t)0x8028b69c,
+ (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x5fc89b8, (q31_t)0x8023db86,
+ (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5981c26, (q31_t)0x801f4f4f,
+ (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x533ab20, (q31_t)0x801b11fa,
+ (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4cf36e5, (q31_t)0x80172388,
+ (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x46abfb3, (q31_t)0x801383fe,
+ (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x40645c7, (q31_t)0x8010335c,
+ (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3a1c960, (q31_t)0x800d31a5,
+ (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x33d4abb, (q31_t)0x800a7edb,
+ (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2d8ca16, (q31_t)0x80081b00,
+ (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x27447b0, (q31_t)0x80060614,
+ (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x20fc3c6, (q31_t)0x8004401a,
+ (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1ab3e97, (q31_t)0x8002c912,
+ (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x146b860, (q31_t)0x8001a0fd,
+ (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0xe23160, (q31_t)0x8000c7dc,
+ (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x7da9d4, (q31_t)0x80003daf,
+ (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x1921fb, (q31_t)0x80000278
+};
+ const q31_t cos_factorsQ31_2048[2048] = {
+ (q31_t)0x7fffff62, (q31_t)0x7ffffa73, (q31_t)0x7ffff094, (q31_t)0x7fffe1c6, (q31_t)0x7fffce09, (q31_t)0x7fffb55c,
+ (q31_t)0x7fff97c1, (q31_t)0x7fff7536,
+ (q31_t)0x7fff4dbb, (q31_t)0x7fff2151, (q31_t)0x7ffeeff8, (q31_t)0x7ffeb9b0, (q31_t)0x7ffe7e79, (q31_t)0x7ffe3e52,
+ (q31_t)0x7ffdf93c, (q31_t)0x7ffdaf37,
+ (q31_t)0x7ffd6042, (q31_t)0x7ffd0c5f, (q31_t)0x7ffcb38c, (q31_t)0x7ffc55ca, (q31_t)0x7ffbf319, (q31_t)0x7ffb8b78,
+ (q31_t)0x7ffb1ee9, (q31_t)0x7ffaad6a,
+ (q31_t)0x7ffa36fc, (q31_t)0x7ff9bba0, (q31_t)0x7ff93b54, (q31_t)0x7ff8b619, (q31_t)0x7ff82bef, (q31_t)0x7ff79cd6,
+ (q31_t)0x7ff708ce, (q31_t)0x7ff66fd7,
+ (q31_t)0x7ff5d1f1, (q31_t)0x7ff52f1d, (q31_t)0x7ff48759, (q31_t)0x7ff3daa6, (q31_t)0x7ff32905, (q31_t)0x7ff27275,
+ (q31_t)0x7ff1b6f6, (q31_t)0x7ff0f688,
+ (q31_t)0x7ff0312c, (q31_t)0x7fef66e1, (q31_t)0x7fee97a7, (q31_t)0x7fedc37e, (q31_t)0x7fecea67, (q31_t)0x7fec0c62,
+ (q31_t)0x7feb296d, (q31_t)0x7fea418b,
+ (q31_t)0x7fe954ba, (q31_t)0x7fe862fa, (q31_t)0x7fe76c4c, (q31_t)0x7fe670b0, (q31_t)0x7fe57025, (q31_t)0x7fe46aac,
+ (q31_t)0x7fe36045, (q31_t)0x7fe250ef,
+ (q31_t)0x7fe13cac, (q31_t)0x7fe0237a, (q31_t)0x7fdf055a, (q31_t)0x7fdde24d, (q31_t)0x7fdcba51, (q31_t)0x7fdb8d67,
+ (q31_t)0x7fda5b8f, (q31_t)0x7fd924ca,
+ (q31_t)0x7fd7e917, (q31_t)0x7fd6a875, (q31_t)0x7fd562e7, (q31_t)0x7fd4186a, (q31_t)0x7fd2c900, (q31_t)0x7fd174a8,
+ (q31_t)0x7fd01b63, (q31_t)0x7fcebd31,
+ (q31_t)0x7fcd5a11, (q31_t)0x7fcbf203, (q31_t)0x7fca8508, (q31_t)0x7fc91320, (q31_t)0x7fc79c4b, (q31_t)0x7fc62089,
+ (q31_t)0x7fc49fda, (q31_t)0x7fc31a3d,
+ (q31_t)0x7fc18fb4, (q31_t)0x7fc0003e, (q31_t)0x7fbe6bdb, (q31_t)0x7fbcd28b, (q31_t)0x7fbb344e, (q31_t)0x7fb99125,
+ (q31_t)0x7fb7e90f, (q31_t)0x7fb63c0d,
+ (q31_t)0x7fb48a1e, (q31_t)0x7fb2d343, (q31_t)0x7fb1177b, (q31_t)0x7faf56c7, (q31_t)0x7fad9127, (q31_t)0x7fabc69b,
+ (q31_t)0x7fa9f723, (q31_t)0x7fa822bf,
+ (q31_t)0x7fa6496e, (q31_t)0x7fa46b32, (q31_t)0x7fa2880b, (q31_t)0x7fa09ff7, (q31_t)0x7f9eb2f8, (q31_t)0x7f9cc10d,
+ (q31_t)0x7f9aca37, (q31_t)0x7f98ce76,
+ (q31_t)0x7f96cdc9, (q31_t)0x7f94c831, (q31_t)0x7f92bdad, (q31_t)0x7f90ae3f, (q31_t)0x7f8e99e6, (q31_t)0x7f8c80a1,
+ (q31_t)0x7f8a6272, (q31_t)0x7f883f58,
+ (q31_t)0x7f861753, (q31_t)0x7f83ea64, (q31_t)0x7f81b88a, (q31_t)0x7f7f81c6, (q31_t)0x7f7d4617, (q31_t)0x7f7b057e,
+ (q31_t)0x7f78bffb, (q31_t)0x7f76758e,
+ (q31_t)0x7f742637, (q31_t)0x7f71d1f6, (q31_t)0x7f6f78cb, (q31_t)0x7f6d1ab6, (q31_t)0x7f6ab7b8, (q31_t)0x7f684fd0,
+ (q31_t)0x7f65e2ff, (q31_t)0x7f637144,
+ (q31_t)0x7f60faa0, (q31_t)0x7f5e7f13, (q31_t)0x7f5bfe9d, (q31_t)0x7f59793e, (q31_t)0x7f56eef5, (q31_t)0x7f545fc5,
+ (q31_t)0x7f51cbab, (q31_t)0x7f4f32a9,
+ (q31_t)0x7f4c94be, (q31_t)0x7f49f1eb, (q31_t)0x7f474a30, (q31_t)0x7f449d8c, (q31_t)0x7f41ec01, (q31_t)0x7f3f358d,
+ (q31_t)0x7f3c7a31, (q31_t)0x7f39b9ee,
+ (q31_t)0x7f36f4c3, (q31_t)0x7f342ab1, (q31_t)0x7f315bb7, (q31_t)0x7f2e87d6, (q31_t)0x7f2baf0d, (q31_t)0x7f28d15d,
+ (q31_t)0x7f25eec7, (q31_t)0x7f230749,
+ (q31_t)0x7f201ae5, (q31_t)0x7f1d299a, (q31_t)0x7f1a3368, (q31_t)0x7f173850, (q31_t)0x7f143852, (q31_t)0x7f11336d,
+ (q31_t)0x7f0e29a3, (q31_t)0x7f0b1af2,
+ (q31_t)0x7f08075c, (q31_t)0x7f04eedf, (q31_t)0x7f01d17d, (q31_t)0x7efeaf36, (q31_t)0x7efb8809, (q31_t)0x7ef85bf7,
+ (q31_t)0x7ef52b00, (q31_t)0x7ef1f524,
+ (q31_t)0x7eeeba62, (q31_t)0x7eeb7abc, (q31_t)0x7ee83632, (q31_t)0x7ee4ecc3, (q31_t)0x7ee19e6f, (q31_t)0x7ede4b38,
+ (q31_t)0x7edaf31c, (q31_t)0x7ed7961c,
+ (q31_t)0x7ed43438, (q31_t)0x7ed0cd70, (q31_t)0x7ecd61c5, (q31_t)0x7ec9f137, (q31_t)0x7ec67bc5, (q31_t)0x7ec3016f,
+ (q31_t)0x7ebf8237, (q31_t)0x7ebbfe1c,
+ (q31_t)0x7eb8751e, (q31_t)0x7eb4e73d, (q31_t)0x7eb1547a, (q31_t)0x7eadbcd4, (q31_t)0x7eaa204c, (q31_t)0x7ea67ee2,
+ (q31_t)0x7ea2d896, (q31_t)0x7e9f2d68,
+ (q31_t)0x7e9b7d58, (q31_t)0x7e97c867, (q31_t)0x7e940e94, (q31_t)0x7e904fe0, (q31_t)0x7e8c8c4b, (q31_t)0x7e88c3d5,
+ (q31_t)0x7e84f67e, (q31_t)0x7e812447,
+ (q31_t)0x7e7d4d2f, (q31_t)0x7e797136, (q31_t)0x7e75905d, (q31_t)0x7e71aaa4, (q31_t)0x7e6dc00c, (q31_t)0x7e69d093,
+ (q31_t)0x7e65dc3b, (q31_t)0x7e61e303,
+ (q31_t)0x7e5de4ec, (q31_t)0x7e59e1f5, (q31_t)0x7e55da20, (q31_t)0x7e51cd6c, (q31_t)0x7e4dbbd9, (q31_t)0x7e49a567,
+ (q31_t)0x7e458a17, (q31_t)0x7e4169e9,
+ (q31_t)0x7e3d44dd, (q31_t)0x7e391af3, (q31_t)0x7e34ec2b, (q31_t)0x7e30b885, (q31_t)0x7e2c8002, (q31_t)0x7e2842a2,
+ (q31_t)0x7e240064, (q31_t)0x7e1fb94a,
+ (q31_t)0x7e1b6d53, (q31_t)0x7e171c7f, (q31_t)0x7e12c6ce, (q31_t)0x7e0e6c42, (q31_t)0x7e0a0cd9, (q31_t)0x7e05a894,
+ (q31_t)0x7e013f74, (q31_t)0x7dfcd178,
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+ (q31_t)0x7db81936, (q31_t)0x7db35d98,
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+ (q31_t)0x7d414a51, (q31_t)0x7d3c1a98,
+ (q31_t)0x7d36e60b, (q31_t)0x7d31acaa, (q31_t)0x7d2c6e76, (q31_t)0x7d272b6e, (q31_t)0x7d21e393, (q31_t)0x7d1c96e5,
+ (q31_t)0x7d174564, (q31_t)0x7d11ef11,
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+ (q31_t)0x7cec0bd1, (q31_t)0x7ce68ef0,
+ (q31_t)0x7ce10d3f, (q31_t)0x7cdb86bd, (q31_t)0x7cd5fb6a, (q31_t)0x7cd06b48, (q31_t)0x7ccad656, (q31_t)0x7cc53c94,
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+ (q31_t)0x7cb45272, (q31_t)0x7caea574, (q31_t)0x7ca8f3a7, (q31_t)0x7ca33d0c, (q31_t)0x7c9d81a3, (q31_t)0x7c97c16b,
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+ (q31_t)0x7c26edab, (q31_t)0x7c20cd8d, (q31_t)0x7c1aa8a6, (q31_t)0x7c147ef6, (q31_t)0x7c0e507e, (q31_t)0x7c081d3d,
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+ (q31_t)0x7bcf78e5, (q31_t)0x7bc915dd,
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+ (q31_t)0x7b8ec3f8, (q31_t)0x7b883143, (q31_t)0x7b8199ca, (q31_t)0x7b7afd8f, (q31_t)0x7b745c91, (q31_t)0x7b6db6d0,
+ (q31_t)0x7b670c4d, (q31_t)0x7b605d09,
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+ (q31_t)0x7b310d07, (q31_t)0x7b2a37bc,
+ (q31_t)0x7b235db2, (q31_t)0x7b1c7ee8, (q31_t)0x7b159b5f, (q31_t)0x7b0eb318, (q31_t)0x7b07c612, (q31_t)0x7b00d44d,
+ (q31_t)0x7af9ddcb, (q31_t)0x7af2e28b,
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+ (q31_t)0x7ac17f20, (q31_t)0x7aba5dfc,
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+ (q31_t)0x7a87f192, (q31_t)0x7a80aa9c,
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+ (q31_t)0x7a4d35b0, (q31_t)0x7a45c8f9,
+ (q31_t)0x7a3e578b, (q31_t)0x7a36e166, (q31_t)0x7a2f668c, (q31_t)0x7a27e6fb, (q31_t)0x7a2062b5, (q31_t)0x7a18d9b9,
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+ (q31_t)0x79d43532, (q31_t)0x79cc7d31,
+ (q31_t)0x79c4c07e, (q31_t)0x79bcff19, (q31_t)0x79b53903, (q31_t)0x79ad6e3c, (q31_t)0x79a59ec3, (q31_t)0x799dca9a,
+ (q31_t)0x7995f1c1, (q31_t)0x798e1438,
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+ (q31_t)0x79568250, (q31_t)0x794e7f52,
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+ (q31_t)0x7915e77c, (q31_t)0x790dbf1d,
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+ (q31_t)0x78d421e4, (q31_t)0x78cbd437,
+ (q31_t)0x78c381e2, (q31_t)0x78bb2ae5, (q31_t)0x78b2cf41, (q31_t)0x78aa6ef5, (q31_t)0x78a20a03, (q31_t)0x7899a06a,
+ (q31_t)0x7891322a, (q31_t)0x7888bf45,
+ (q31_t)0x788047ba, (q31_t)0x7877cb89, (q31_t)0x786f4ab4, (q31_t)0x7866c53a, (q31_t)0x785e3b1c, (q31_t)0x7855ac5a,
+ (q31_t)0x784d18f4, (q31_t)0x784480ea,
+ (q31_t)0x783be43e, (q31_t)0x783342ef, (q31_t)0x782a9cfe, (q31_t)0x7821f26b, (q31_t)0x78194336, (q31_t)0x78108f60,
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+ (q31_t)0x77f65819, (q31_t)0x77ed91c0, (q31_t)0x77e4c6c9, (q31_t)0x77dbf732, (q31_t)0x77d322fc, (q31_t)0x77ca4a27,
+ (q31_t)0x77c16cb4, (q31_t)0x77b88aa3,
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+ (q31_t)0x7779db03, (q31_t)0x7770d40f,
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+ (q31_t)0x77312287, (q31_t)0x7727f6c6,
+ (q31_t)0x771ec66e, (q31_t)0x7715917d, (q31_t)0x770c57f5, (q31_t)0x770319d6, (q31_t)0x76f9d721, (q31_t)0x76f08fd5,
+ (q31_t)0x76e743f4, (q31_t)0x76ddf37c,
+ (q31_t)0x76d49e70, (q31_t)0x76cb44cf, (q31_t)0x76c1e699, (q31_t)0x76b883d0, (q31_t)0x76af1c72, (q31_t)0x76a5b082,
+ (q31_t)0x769c3ffe, (q31_t)0x7692cae8,
+ (q31_t)0x7689513f, (q31_t)0x767fd304, (q31_t)0x76765038, (q31_t)0x766cc8db, (q31_t)0x76633ced, (q31_t)0x7659ac6f,
+ (q31_t)0x76501760, (q31_t)0x76467dc2,
+ (q31_t)0x763cdf94, (q31_t)0x76333cd8, (q31_t)0x7629958c, (q31_t)0x761fe9b3, (q31_t)0x7616394c, (q31_t)0x760c8457,
+ (q31_t)0x7602cad5, (q31_t)0x75f90cc7,
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+ (q31_t)0x75b45b1d, (q31_t)0x75aa78b6,
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+ (q31_t)0x7564c8f8, (q31_t)0x755ac251,
+ (q31_t)0x7550b725, (q31_t)0x7546a772, (q31_t)0x753c933a, (q31_t)0x75327a7d, (q31_t)0x75285d3b, (q31_t)0x751e3b75,
+ (q31_t)0x7514152b, (q31_t)0x7509ea5d,
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+ (q31_t)0x74c2407d, (q31_t)0x74b7f1a1,
+ (q31_t)0x74ad9e46, (q31_t)0x74a3466b, (q31_t)0x7498ea11, (q31_t)0x748e8938, (q31_t)0x748423e0, (q31_t)0x7479ba0b,
+ (q31_t)0x746f4bb8, (q31_t)0x7464d8e8,
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+ (q31_t)0x741b37a9, (q31_t)0x7410a0fe,
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+ (q31_t)0x73c6051f, (q31_t)0x73bb4ab3,
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+ (q31_t)0x736fb4ec, (q31_t)0x7364d6da,
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+ (q31_t)0x731847e5, (q31_t)0x730d4648,
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+ (q31_t)0x72bfbee3, (q31_t)0x72b499d6,
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+ (q31_t)0x72661abf, (q31_t)0x725ad25d,
+ (q31_t)0x724f8593, (q31_t)0x72443460, (q31_t)0x7238dec5, (q31_t)0x722d84c4, (q31_t)0x7222265b, (q31_t)0x7216c38c,
+ (q31_t)0x720b5c57, (q31_t)0x71fff0bc,
+ (q31_t)0x71f480bc, (q31_t)0x71e90c57, (q31_t)0x71dd938f, (q31_t)0x71d21662, (q31_t)0x71c694d2, (q31_t)0x71bb0edf,
+ (q31_t)0x71af848a, (q31_t)0x71a3f5d2,
+ (q31_t)0x719862b9, (q31_t)0x718ccb3f, (q31_t)0x71812f65, (q31_t)0x71758f29, (q31_t)0x7169ea8f, (q31_t)0x715e4194,
+ (q31_t)0x7152943b, (q31_t)0x7146e284,
+ (q31_t)0x713b2c6e, (q31_t)0x712f71fb, (q31_t)0x7123b32b, (q31_t)0x7117effe, (q31_t)0x710c2875, (q31_t)0x71005c90,
+ (q31_t)0x70f48c50, (q31_t)0x70e8b7b5,
+ (q31_t)0x70dcdec0, (q31_t)0x70d10171, (q31_t)0x70c51fc8, (q31_t)0x70b939c7, (q31_t)0x70ad4f6d, (q31_t)0x70a160ba,
+ (q31_t)0x70956db1, (q31_t)0x70897650,
+ (q31_t)0x707d7a98, (q31_t)0x70717a8a, (q31_t)0x70657626, (q31_t)0x70596d6d, (q31_t)0x704d6060, (q31_t)0x70414efd,
+ (q31_t)0x70353947, (q31_t)0x70291f3e,
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+ (q31_t)0x6fd3f001, (q31_t)0x6fc7b36d,
+ (q31_t)0x6fbb728a, (q31_t)0x6faf2d57, (q31_t)0x6fa2e3d7, (q31_t)0x6f969608, (q31_t)0x6f8a43ed, (q31_t)0x6f7ded84,
+ (q31_t)0x6f7192cf, (q31_t)0x6f6533ce,
+ (q31_t)0x6f58d082, (q31_t)0x6f4c68eb, (q31_t)0x6f3ffd09, (q31_t)0x6f338cde, (q31_t)0x6f271868, (q31_t)0x6f1a9faa,
+ (q31_t)0x6f0e22a3, (q31_t)0x6f01a155,
+ (q31_t)0x6ef51bbe, (q31_t)0x6ee891e1, (q31_t)0x6edc03bc, (q31_t)0x6ecf7152, (q31_t)0x6ec2daa2, (q31_t)0x6eb63fad,
+ (q31_t)0x6ea9a073, (q31_t)0x6e9cfcf5,
+ (q31_t)0x6e905534, (q31_t)0x6e83a92f, (q31_t)0x6e76f8e7, (q31_t)0x6e6a445d, (q31_t)0x6e5d8b91, (q31_t)0x6e50ce84,
+ (q31_t)0x6e440d37, (q31_t)0x6e3747a9,
+ (q31_t)0x6e2a7ddb, (q31_t)0x6e1dafce, (q31_t)0x6e10dd82, (q31_t)0x6e0406f8, (q31_t)0x6df72c30, (q31_t)0x6dea4d2b,
+ (q31_t)0x6ddd69e9, (q31_t)0x6dd0826a,
+ (q31_t)0x6dc396b0, (q31_t)0x6db6a6ba, (q31_t)0x6da9b28a, (q31_t)0x6d9cba1f, (q31_t)0x6d8fbd7a, (q31_t)0x6d82bc9d,
+ (q31_t)0x6d75b786, (q31_t)0x6d68ae37,
+ (q31_t)0x6d5ba0b0, (q31_t)0x6d4e8ef2, (q31_t)0x6d4178fd, (q31_t)0x6d345ed1, (q31_t)0x6d274070, (q31_t)0x6d1a1dda,
+ (q31_t)0x6d0cf70f, (q31_t)0x6cffcc0f,
+ (q31_t)0x6cf29cdc, (q31_t)0x6ce56975, (q31_t)0x6cd831dc, (q31_t)0x6ccaf610, (q31_t)0x6cbdb613, (q31_t)0x6cb071e4,
+ (q31_t)0x6ca32985, (q31_t)0x6c95dcf6,
+ (q31_t)0x6c888c36, (q31_t)0x6c7b3748, (q31_t)0x6c6dde2b, (q31_t)0x6c6080e0, (q31_t)0x6c531f67, (q31_t)0x6c45b9c1,
+ (q31_t)0x6c384fef, (q31_t)0x6c2ae1f0,
+ (q31_t)0x6c1d6fc6, (q31_t)0x6c0ff971, (q31_t)0x6c027ef1, (q31_t)0x6bf50047, (q31_t)0x6be77d74, (q31_t)0x6bd9f677,
+ (q31_t)0x6bcc6b53, (q31_t)0x6bbedc06,
+ (q31_t)0x6bb14892, (q31_t)0x6ba3b0f7, (q31_t)0x6b961536, (q31_t)0x6b88754f, (q31_t)0x6b7ad142, (q31_t)0x6b6d2911,
+ (q31_t)0x6b5f7cbc, (q31_t)0x6b51cc42,
+ (q31_t)0x6b4417a6, (q31_t)0x6b365ee7, (q31_t)0x6b28a206, (q31_t)0x6b1ae103, (q31_t)0x6b0d1bdf, (q31_t)0x6aff529a,
+ (q31_t)0x6af18536, (q31_t)0x6ae3b3b2,
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+ (q31_t)0x6a8285d1, (q31_t)0x6a749365,
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+ (q31_t)0x6a127f9f, (q31_t)0x6a046c6c,
+ (q31_t)0x69f65523, (q31_t)0x69e839c4, (q31_t)0x69da1a50, (q31_t)0x69cbf6c7, (q31_t)0x69bdcf29, (q31_t)0x69afa378,
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+ (q31_t)0x67d320c1, (q31_t)0x67c46bbe,
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+ (q31_t)0x628a0e50, (q31_t)0x627a01fe,
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+ (q31_t)0x5ecf0baf, (q31_t)0x5ebe273b, (q31_t)0x5ead3f1f, (q31_t)0x5e9c535e, (q31_t)0x5e8b63f7, (q31_t)0x5e7a70ea,
+ (q31_t)0x5e697a39, (q31_t)0x5e587fe5,
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+ (q31_t)0x5a799669, (q31_t)0x5a67cd69, (q31_t)0x5a5600ec, (q31_t)0x5a4430f5, (q31_t)0x5a325d82, (q31_t)0x5a208695,
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+ (q31_t)0x597f5c36, (q31_t)0x596d62a9,
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+ (q31_t)0x58ef2f6b, (q31_t)0x58dd1a5d,
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+ (q31_t)0x585e2730, (q31_t)0x584bf6cd,
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+ (q31_t)0x57398a05, (q31_t)0x5727237f,
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+ (q31_t)0x56a5f7e7, (q31_t)0x56937694,
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+ (q31_t)0x56118ffe, (q31_t)0x55fef40a,
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+ (q31_t)0x557c53b6, (q31_t)0x55699d51,
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+ (q31_t)0x544f63d2, (q31_t)0x543c7914,
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+ (q31_t)0x51ebcf7a, (q31_t)0x51d87e3c,
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+ (q31_t)0x5150ed5c, (q31_t)0x513d82f4,
+ (q31_t)0x512a156b, (q31_t)0x5116a4c1, (q31_t)0x510330f7, (q31_t)0x50efba0d, (q31_t)0x50dc4005, (q31_t)0x50c8c2de,
+ (q31_t)0x50b5429a, (q31_t)0x50a1bf39,
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+ (q31_t)0x5018d0b4, (q31_t)0x5005348a,
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+ (q31_t)0x4f7b992d, (q31_t)0x4f67e46a,
+ (q31_t)0x4f542c98, (q31_t)0x4f4071b6, (q31_t)0x4f2cb3c7, (q31_t)0x4f18f2c9, (q31_t)0x4f052ec0, (q31_t)0x4ef167aa,
+ (q31_t)0x4edd9d89, (q31_t)0x4ec9d05e,
+ (q31_t)0x4eb60029, (q31_t)0x4ea22ceb, (q31_t)0x4e8e56a5, (q31_t)0x4e7a7d58, (q31_t)0x4e66a105, (q31_t)0x4e52c1ab,
+ (q31_t)0x4e3edf4d, (q31_t)0x4e2af9ea,
+ (q31_t)0x4e171184, (q31_t)0x4e03261b, (q31_t)0x4def37b0, (q31_t)0x4ddb4644, (q31_t)0x4dc751d8, (q31_t)0x4db35a6c,
+ (q31_t)0x4d9f6001, (q31_t)0x4d8b6298,
+ (q31_t)0x4d776231, (q31_t)0x4d635ece, (q31_t)0x4d4f5870, (q31_t)0x4d3b4f16, (q31_t)0x4d2742c2, (q31_t)0x4d133374,
+ (q31_t)0x4cff212e, (q31_t)0x4ceb0bf0,
+ (q31_t)0x4cd6f3bb, (q31_t)0x4cc2d88f, (q31_t)0x4caeba6e, (q31_t)0x4c9a9958, (q31_t)0x4c86754e, (q31_t)0x4c724e50,
+ (q31_t)0x4c5e2460, (q31_t)0x4c49f77f,
+ (q31_t)0x4c35c7ac, (q31_t)0x4c2194e9, (q31_t)0x4c0d5f37, (q31_t)0x4bf92697, (q31_t)0x4be4eb08, (q31_t)0x4bd0ac8d,
+ (q31_t)0x4bbc6b25, (q31_t)0x4ba826d1,
+ (q31_t)0x4b93df93, (q31_t)0x4b7f956b, (q31_t)0x4b6b485a, (q31_t)0x4b56f861, (q31_t)0x4b42a580, (q31_t)0x4b2e4fb8,
+ (q31_t)0x4b19f70a, (q31_t)0x4b059b77,
+ (q31_t)0x4af13d00, (q31_t)0x4adcdba5, (q31_t)0x4ac87767, (q31_t)0x4ab41046, (q31_t)0x4a9fa645, (q31_t)0x4a8b3963,
+ (q31_t)0x4a76c9a2, (q31_t)0x4a625701,
+ (q31_t)0x4a4de182, (q31_t)0x4a396926, (q31_t)0x4a24edee, (q31_t)0x4a106fda, (q31_t)0x49fbeeea, (q31_t)0x49e76b21,
+ (q31_t)0x49d2e47e, (q31_t)0x49be5b02,
+ (q31_t)0x49a9ceaf, (q31_t)0x49953f84, (q31_t)0x4980ad84, (q31_t)0x496c18ae, (q31_t)0x49578103, (q31_t)0x4942e684,
+ (q31_t)0x492e4933, (q31_t)0x4919a90f,
+ (q31_t)0x4905061a, (q31_t)0x48f06054, (q31_t)0x48dbb7be, (q31_t)0x48c70c59, (q31_t)0x48b25e25, (q31_t)0x489dad25,
+ (q31_t)0x4888f957, (q31_t)0x487442be,
+ (q31_t)0x485f8959, (q31_t)0x484acd2a, (q31_t)0x48360e32, (q31_t)0x48214c71, (q31_t)0x480c87e8, (q31_t)0x47f7c099,
+ (q31_t)0x47e2f682, (q31_t)0x47ce29a7,
+ (q31_t)0x47b95a06, (q31_t)0x47a487a2, (q31_t)0x478fb27b, (q31_t)0x477ada91, (q31_t)0x4765ffe6, (q31_t)0x4751227a,
+ (q31_t)0x473c424e, (q31_t)0x47275f63,
+ (q31_t)0x471279ba, (q31_t)0x46fd9154, (q31_t)0x46e8a631, (q31_t)0x46d3b852, (q31_t)0x46bec7b8, (q31_t)0x46a9d464,
+ (q31_t)0x4694de56, (q31_t)0x467fe590,
+ (q31_t)0x466aea12, (q31_t)0x4655ebdd, (q31_t)0x4640eaf2, (q31_t)0x462be751, (q31_t)0x4616e0fc, (q31_t)0x4601d7f3,
+ (q31_t)0x45eccc37, (q31_t)0x45d7bdc9,
+ (q31_t)0x45c2acaa, (q31_t)0x45ad98da, (q31_t)0x4598825a, (q31_t)0x4583692c, (q31_t)0x456e4d4f, (q31_t)0x45592ec6,
+ (q31_t)0x45440d90, (q31_t)0x452ee9ae,
+ (q31_t)0x4519c321, (q31_t)0x450499eb, (q31_t)0x44ef6e0b, (q31_t)0x44da3f83, (q31_t)0x44c50e53, (q31_t)0x44afda7d,
+ (q31_t)0x449aa400, (q31_t)0x44856adf,
+ (q31_t)0x44702f19, (q31_t)0x445af0b0, (q31_t)0x4445afa4, (q31_t)0x44306bf6, (q31_t)0x441b25a8, (q31_t)0x4405dcb9,
+ (q31_t)0x43f0912b, (q31_t)0x43db42fe,
+ (q31_t)0x43c5f234, (q31_t)0x43b09ecc, (q31_t)0x439b48c9, (q31_t)0x4385f02a, (q31_t)0x437094f1, (q31_t)0x435b371f,
+ (q31_t)0x4345d6b3, (q31_t)0x433073b0,
+ (q31_t)0x431b0e15, (q31_t)0x4305a5e5, (q31_t)0x42f03b1e, (q31_t)0x42dacdc3, (q31_t)0x42c55dd4, (q31_t)0x42afeb53,
+ (q31_t)0x429a763f, (q31_t)0x4284fe99,
+ (q31_t)0x426f8463, (q31_t)0x425a079e, (q31_t)0x42448849, (q31_t)0x422f0667, (q31_t)0x421981f7, (q31_t)0x4203fafb,
+ (q31_t)0x41ee7174, (q31_t)0x41d8e561,
+ (q31_t)0x41c356c5, (q31_t)0x41adc5a0, (q31_t)0x419831f3, (q31_t)0x41829bbe, (q31_t)0x416d0302, (q31_t)0x415767c1,
+ (q31_t)0x4141c9fb, (q31_t)0x412c29b1,
+ (q31_t)0x411686e4, (q31_t)0x4100e194, (q31_t)0x40eb39c3, (q31_t)0x40d58f71, (q31_t)0x40bfe29f, (q31_t)0x40aa334e,
+ (q31_t)0x4094817f, (q31_t)0x407ecd32,
+ (q31_t)0x40691669, (q31_t)0x40535d24, (q31_t)0x403da165, (q31_t)0x4027e32b, (q31_t)0x40122278, (q31_t)0x3ffc5f4d,
+ (q31_t)0x3fe699aa, (q31_t)0x3fd0d191,
+ (q31_t)0x3fbb0702, (q31_t)0x3fa539fd, (q31_t)0x3f8f6a85, (q31_t)0x3f799899, (q31_t)0x3f63c43b, (q31_t)0x3f4ded6b,
+ (q31_t)0x3f38142a, (q31_t)0x3f22387a,
+ (q31_t)0x3f0c5a5a, (q31_t)0x3ef679cc, (q31_t)0x3ee096d1, (q31_t)0x3ecab169, (q31_t)0x3eb4c995, (q31_t)0x3e9edf57,
+ (q31_t)0x3e88f2ae, (q31_t)0x3e73039d,
+ (q31_t)0x3e5d1222, (q31_t)0x3e471e41, (q31_t)0x3e3127f9, (q31_t)0x3e1b2f4a, (q31_t)0x3e053437, (q31_t)0x3def36c0,
+ (q31_t)0x3dd936e6, (q31_t)0x3dc334a9,
+ (q31_t)0x3dad300b, (q31_t)0x3d97290b, (q31_t)0x3d811fac, (q31_t)0x3d6b13ee, (q31_t)0x3d5505d2, (q31_t)0x3d3ef559,
+ (q31_t)0x3d28e282, (q31_t)0x3d12cd51,
+ (q31_t)0x3cfcb5c4, (q31_t)0x3ce69bde, (q31_t)0x3cd07f9f, (q31_t)0x3cba6107, (q31_t)0x3ca44018, (q31_t)0x3c8e1cd3,
+ (q31_t)0x3c77f737, (q31_t)0x3c61cf48,
+ (q31_t)0x3c4ba504, (q31_t)0x3c35786d, (q31_t)0x3c1f4983, (q31_t)0x3c091849, (q31_t)0x3bf2e4be, (q31_t)0x3bdcaee3,
+ (q31_t)0x3bc676b9, (q31_t)0x3bb03c42,
+ (q31_t)0x3b99ff7d, (q31_t)0x3b83c06c, (q31_t)0x3b6d7f10, (q31_t)0x3b573b69, (q31_t)0x3b40f579, (q31_t)0x3b2aad3f,
+ (q31_t)0x3b1462be, (q31_t)0x3afe15f6,
+ (q31_t)0x3ae7c6e7, (q31_t)0x3ad17593, (q31_t)0x3abb21fb, (q31_t)0x3aa4cc1e, (q31_t)0x3a8e7400, (q31_t)0x3a78199f,
+ (q31_t)0x3a61bcfd, (q31_t)0x3a4b5e1b,
+ (q31_t)0x3a34fcf9, (q31_t)0x3a1e9999, (q31_t)0x3a0833fc, (q31_t)0x39f1cc21, (q31_t)0x39db620b, (q31_t)0x39c4f5ba,
+ (q31_t)0x39ae872f, (q31_t)0x3998166a,
+ (q31_t)0x3981a36d, (q31_t)0x396b2e38, (q31_t)0x3954b6cd, (q31_t)0x393e3d2c, (q31_t)0x3927c155, (q31_t)0x3911434b,
+ (q31_t)0x38fac30e, (q31_t)0x38e4409e,
+ (q31_t)0x38cdbbfc, (q31_t)0x38b7352a, (q31_t)0x38a0ac29, (q31_t)0x388a20f8, (q31_t)0x38739399, (q31_t)0x385d040d,
+ (q31_t)0x38467255, (q31_t)0x382fde72,
+ (q31_t)0x38194864, (q31_t)0x3802b02c, (q31_t)0x37ec15cb, (q31_t)0x37d57943, (q31_t)0x37beda93, (q31_t)0x37a839be,
+ (q31_t)0x379196c3, (q31_t)0x377af1a3,
+ (q31_t)0x37644a60, (q31_t)0x374da0fa, (q31_t)0x3736f573, (q31_t)0x372047ca, (q31_t)0x37099802, (q31_t)0x36f2e61a,
+ (q31_t)0x36dc3214, (q31_t)0x36c57bf0,
+ (q31_t)0x36aec3b0, (q31_t)0x36980954, (q31_t)0x36814cde, (q31_t)0x366a8e4d, (q31_t)0x3653cda3, (q31_t)0x363d0ae2,
+ (q31_t)0x36264609, (q31_t)0x360f7f19,
+ (q31_t)0x35f8b614, (q31_t)0x35e1eafa, (q31_t)0x35cb1dcc, (q31_t)0x35b44e8c, (q31_t)0x359d7d39, (q31_t)0x3586a9d5,
+ (q31_t)0x356fd461, (q31_t)0x3558fcde,
+ (q31_t)0x3542234c, (q31_t)0x352b47ad, (q31_t)0x35146a00, (q31_t)0x34fd8a48, (q31_t)0x34e6a885, (q31_t)0x34cfc4b7,
+ (q31_t)0x34b8dee1, (q31_t)0x34a1f702,
+ (q31_t)0x348b0d1c, (q31_t)0x3474212f, (q31_t)0x345d333c, (q31_t)0x34464345, (q31_t)0x342f5149, (q31_t)0x34185d4b,
+ (q31_t)0x3401674a, (q31_t)0x33ea6f48,
+ (q31_t)0x33d37546, (q31_t)0x33bc7944, (q31_t)0x33a57b44, (q31_t)0x338e7b46, (q31_t)0x3377794b, (q31_t)0x33607554,
+ (q31_t)0x33496f62, (q31_t)0x33326776,
+ (q31_t)0x331b5d91, (q31_t)0x330451b3, (q31_t)0x32ed43de, (q31_t)0x32d63412, (q31_t)0x32bf2250, (q31_t)0x32a80e99,
+ (q31_t)0x3290f8ef, (q31_t)0x3279e151,
+ (q31_t)0x3262c7c1, (q31_t)0x324bac40, (q31_t)0x32348ecf, (q31_t)0x321d6f6e, (q31_t)0x32064e1e, (q31_t)0x31ef2ae1,
+ (q31_t)0x31d805b7, (q31_t)0x31c0dea1,
+ (q31_t)0x31a9b5a0, (q31_t)0x31928ab4, (q31_t)0x317b5de0, (q31_t)0x31642f23, (q31_t)0x314cfe7f, (q31_t)0x3135cbf4,
+ (q31_t)0x311e9783, (q31_t)0x3107612e,
+ (q31_t)0x30f028f4, (q31_t)0x30d8eed8, (q31_t)0x30c1b2da, (q31_t)0x30aa74fa, (q31_t)0x3093353a, (q31_t)0x307bf39b,
+ (q31_t)0x3064b01d, (q31_t)0x304d6ac1,
+ (q31_t)0x30362389, (q31_t)0x301eda75, (q31_t)0x30078f86, (q31_t)0x2ff042bd, (q31_t)0x2fd8f41b, (q31_t)0x2fc1a3a0,
+ (q31_t)0x2faa514f, (q31_t)0x2f92fd26,
+ (q31_t)0x2f7ba729, (q31_t)0x2f644f56, (q31_t)0x2f4cf5b0, (q31_t)0x2f359a37, (q31_t)0x2f1e3ced, (q31_t)0x2f06ddd1,
+ (q31_t)0x2eef7ce5, (q31_t)0x2ed81a29,
+ (q31_t)0x2ec0b5a0, (q31_t)0x2ea94f49, (q31_t)0x2e91e725, (q31_t)0x2e7a7d36, (q31_t)0x2e63117c, (q31_t)0x2e4ba3f8,
+ (q31_t)0x2e3434ac, (q31_t)0x2e1cc397,
+ (q31_t)0x2e0550bb, (q31_t)0x2deddc19, (q31_t)0x2dd665b2, (q31_t)0x2dbeed86, (q31_t)0x2da77397, (q31_t)0x2d8ff7e5,
+ (q31_t)0x2d787a72, (q31_t)0x2d60fb3e,
+ (q31_t)0x2d497a4a, (q31_t)0x2d31f797, (q31_t)0x2d1a7325, (q31_t)0x2d02ecf7, (q31_t)0x2ceb650d, (q31_t)0x2cd3db67,
+ (q31_t)0x2cbc5006, (q31_t)0x2ca4c2ed,
+ (q31_t)0x2c8d341a, (q31_t)0x2c75a390, (q31_t)0x2c5e114f, (q31_t)0x2c467d58, (q31_t)0x2c2ee7ad, (q31_t)0x2c17504d,
+ (q31_t)0x2bffb73a, (q31_t)0x2be81c74,
+ (q31_t)0x2bd07ffe, (q31_t)0x2bb8e1d7, (q31_t)0x2ba14200, (q31_t)0x2b89a07b, (q31_t)0x2b71fd48, (q31_t)0x2b5a5868,
+ (q31_t)0x2b42b1dd, (q31_t)0x2b2b09a6,
+ (q31_t)0x2b135fc6, (q31_t)0x2afbb43c, (q31_t)0x2ae4070a, (q31_t)0x2acc5831, (q31_t)0x2ab4a7b1, (q31_t)0x2a9cf58c,
+ (q31_t)0x2a8541c3, (q31_t)0x2a6d8c55,
+ (q31_t)0x2a55d545, (q31_t)0x2a3e1c93, (q31_t)0x2a266240, (q31_t)0x2a0ea64d, (q31_t)0x29f6e8bb, (q31_t)0x29df298b,
+ (q31_t)0x29c768be, (q31_t)0x29afa654,
+ (q31_t)0x2997e24f, (q31_t)0x29801caf, (q31_t)0x29685576, (q31_t)0x29508ca4, (q31_t)0x2938c23a, (q31_t)0x2920f63a,
+ (q31_t)0x290928a3, (q31_t)0x28f15978,
+ (q31_t)0x28d988b8, (q31_t)0x28c1b666, (q31_t)0x28a9e281, (q31_t)0x28920d0a, (q31_t)0x287a3604, (q31_t)0x28625d6d,
+ (q31_t)0x284a8349, (q31_t)0x2832a796,
+ (q31_t)0x281aca57, (q31_t)0x2802eb8c, (q31_t)0x27eb0b36, (q31_t)0x27d32956, (q31_t)0x27bb45ed, (q31_t)0x27a360fc,
+ (q31_t)0x278b7a84, (q31_t)0x27739285,
+ (q31_t)0x275ba901, (q31_t)0x2743bdf9, (q31_t)0x272bd16d, (q31_t)0x2713e35f, (q31_t)0x26fbf3ce, (q31_t)0x26e402bd,
+ (q31_t)0x26cc102d, (q31_t)0x26b41c1d,
+ (q31_t)0x269c268f, (q31_t)0x26842f84, (q31_t)0x266c36fe, (q31_t)0x26543cfb, (q31_t)0x263c417f, (q31_t)0x26244489,
+ (q31_t)0x260c461b, (q31_t)0x25f44635,
+ (q31_t)0x25dc44d9, (q31_t)0x25c44207, (q31_t)0x25ac3dc0, (q31_t)0x25943806, (q31_t)0x257c30d8, (q31_t)0x25642839,
+ (q31_t)0x254c1e28, (q31_t)0x253412a8,
+ (q31_t)0x251c05b8, (q31_t)0x2503f75a, (q31_t)0x24ebe78f, (q31_t)0x24d3d657, (q31_t)0x24bbc3b4, (q31_t)0x24a3afa6,
+ (q31_t)0x248b9a2f, (q31_t)0x2473834f,
+ (q31_t)0x245b6b07, (q31_t)0x24435158, (q31_t)0x242b3644, (q31_t)0x241319ca, (q31_t)0x23fafbec, (q31_t)0x23e2dcac,
+ (q31_t)0x23cabc09, (q31_t)0x23b29a05,
+ (q31_t)0x239a76a0, (q31_t)0x238251dd, (q31_t)0x236a2bba, (q31_t)0x2352043b, (q31_t)0x2339db5e, (q31_t)0x2321b126,
+ (q31_t)0x23098593, (q31_t)0x22f158a7,
+ (q31_t)0x22d92a61, (q31_t)0x22c0fac4, (q31_t)0x22a8c9cf, (q31_t)0x22909785, (q31_t)0x227863e5, (q31_t)0x22602ef1,
+ (q31_t)0x2247f8aa, (q31_t)0x222fc111,
+ (q31_t)0x22178826, (q31_t)0x21ff4dea, (q31_t)0x21e71260, (q31_t)0x21ced586, (q31_t)0x21b6975f, (q31_t)0x219e57eb,
+ (q31_t)0x2186172b, (q31_t)0x216dd521,
+ (q31_t)0x215591cc, (q31_t)0x213d4d2f, (q31_t)0x21250749, (q31_t)0x210cc01d, (q31_t)0x20f477aa, (q31_t)0x20dc2df2,
+ (q31_t)0x20c3e2f5, (q31_t)0x20ab96b5,
+ (q31_t)0x20934933, (q31_t)0x207afa6f, (q31_t)0x2062aa6b, (q31_t)0x204a5927, (q31_t)0x203206a4, (q31_t)0x2019b2e4,
+ (q31_t)0x20015de7, (q31_t)0x1fe907ae,
+ (q31_t)0x1fd0b03a, (q31_t)0x1fb8578b, (q31_t)0x1f9ffda4, (q31_t)0x1f87a285, (q31_t)0x1f6f462f, (q31_t)0x1f56e8a2,
+ (q31_t)0x1f3e89e0, (q31_t)0x1f2629ea,
+ (q31_t)0x1f0dc8c0, (q31_t)0x1ef56664, (q31_t)0x1edd02d6, (q31_t)0x1ec49e17, (q31_t)0x1eac3829, (q31_t)0x1e93d10c,
+ (q31_t)0x1e7b68c2, (q31_t)0x1e62ff4a,
+ (q31_t)0x1e4a94a7, (q31_t)0x1e3228d9, (q31_t)0x1e19bbe0, (q31_t)0x1e014dbf, (q31_t)0x1de8de75, (q31_t)0x1dd06e04,
+ (q31_t)0x1db7fc6d, (q31_t)0x1d9f89b1,
+ (q31_t)0x1d8715d0, (q31_t)0x1d6ea0cc, (q31_t)0x1d562aa6, (q31_t)0x1d3db35e, (q31_t)0x1d253af5, (q31_t)0x1d0cc16c,
+ (q31_t)0x1cf446c5, (q31_t)0x1cdbcb00,
+ (q31_t)0x1cc34e1f, (q31_t)0x1caad021, (q31_t)0x1c925109, (q31_t)0x1c79d0d6, (q31_t)0x1c614f8b, (q31_t)0x1c48cd27,
+ (q31_t)0x1c3049ac, (q31_t)0x1c17c51b,
+ (q31_t)0x1bff3f75, (q31_t)0x1be6b8ba, (q31_t)0x1bce30ec, (q31_t)0x1bb5a80c, (q31_t)0x1b9d1e1a, (q31_t)0x1b849317,
+ (q31_t)0x1b6c0705, (q31_t)0x1b5379e5,
+ (q31_t)0x1b3aebb6, (q31_t)0x1b225c7b, (q31_t)0x1b09cc34, (q31_t)0x1af13ae3, (q31_t)0x1ad8a887, (q31_t)0x1ac01522,
+ (q31_t)0x1aa780b6, (q31_t)0x1a8eeb42,
+ (q31_t)0x1a7654c8, (q31_t)0x1a5dbd49, (q31_t)0x1a4524c6, (q31_t)0x1a2c8b3f, (q31_t)0x1a13f0b6, (q31_t)0x19fb552c,
+ (q31_t)0x19e2b8a2, (q31_t)0x19ca1b17,
+ (q31_t)0x19b17c8f, (q31_t)0x1998dd09, (q31_t)0x19803c86, (q31_t)0x19679b07, (q31_t)0x194ef88e, (q31_t)0x1936551b,
+ (q31_t)0x191db0af, (q31_t)0x19050b4b,
+ (q31_t)0x18ec64f0, (q31_t)0x18d3bda0, (q31_t)0x18bb155a, (q31_t)0x18a26c20, (q31_t)0x1889c1f3, (q31_t)0x187116d4,
+ (q31_t)0x18586ac3, (q31_t)0x183fbdc3,
+ (q31_t)0x18270fd3, (q31_t)0x180e60f4, (q31_t)0x17f5b129, (q31_t)0x17dd0070, (q31_t)0x17c44ecd, (q31_t)0x17ab9c3e,
+ (q31_t)0x1792e8c6, (q31_t)0x177a3466,
+ (q31_t)0x17617f1d, (q31_t)0x1748c8ee, (q31_t)0x173011d9, (q31_t)0x171759df, (q31_t)0x16fea102, (q31_t)0x16e5e741,
+ (q31_t)0x16cd2c9f, (q31_t)0x16b4711b,
+ (q31_t)0x169bb4b7, (q31_t)0x1682f774, (q31_t)0x166a3953, (q31_t)0x16517a55, (q31_t)0x1638ba7a, (q31_t)0x161ff9c4,
+ (q31_t)0x16073834, (q31_t)0x15ee75cb,
+ (q31_t)0x15d5b288, (q31_t)0x15bcee6f, (q31_t)0x15a4297f, (q31_t)0x158b63b9, (q31_t)0x15729d1f, (q31_t)0x1559d5b1,
+ (q31_t)0x15410d70, (q31_t)0x1528445d,
+ (q31_t)0x150f7a7a, (q31_t)0x14f6afc7, (q31_t)0x14dde445, (q31_t)0x14c517f4, (q31_t)0x14ac4ad7, (q31_t)0x14937cee,
+ (q31_t)0x147aae3a, (q31_t)0x1461debc,
+ (q31_t)0x14490e74, (q31_t)0x14303d65, (q31_t)0x14176b8e, (q31_t)0x13fe98f1, (q31_t)0x13e5c58e, (q31_t)0x13ccf167,
+ (q31_t)0x13b41c7d, (q31_t)0x139b46d0,
+ (q31_t)0x13827062, (q31_t)0x13699933, (q31_t)0x1350c144, (q31_t)0x1337e897, (q31_t)0x131f0f2c, (q31_t)0x13063505,
+ (q31_t)0x12ed5a21, (q31_t)0x12d47e83,
+ (q31_t)0x12bba22b, (q31_t)0x12a2c51b, (q31_t)0x1289e752, (q31_t)0x127108d2, (q31_t)0x1258299c, (q31_t)0x123f49b2,
+ (q31_t)0x12266913, (q31_t)0x120d87c1,
+ (q31_t)0x11f4a5bd, (q31_t)0x11dbc307, (q31_t)0x11c2dfa2, (q31_t)0x11a9fb8d, (q31_t)0x119116c9, (q31_t)0x11783159,
+ (q31_t)0x115f4b3c, (q31_t)0x11466473,
+ (q31_t)0x112d7d00, (q31_t)0x111494e4, (q31_t)0x10fbac1e, (q31_t)0x10e2c2b2, (q31_t)0x10c9d89e, (q31_t)0x10b0ede5,
+ (q31_t)0x10980287, (q31_t)0x107f1686,
+ (q31_t)0x106629e1, (q31_t)0x104d3c9b, (q31_t)0x10344eb4, (q31_t)0x101b602d, (q31_t)0x10027107, (q31_t)0xfe98143,
+ (q31_t)0xfd090e1, (q31_t)0xfb79fe4,
+ (q31_t)0xf9eae4c, (q31_t)0xf85bc19, (q31_t)0xf6cc94e, (q31_t)0xf53d5ea, (q31_t)0xf3ae1ee, (q31_t)0xf21ed5d, (q31_t)0xf08f836,
+ (q31_t)0xef0027b,
+ (q31_t)0xed70c2c, (q31_t)0xebe154b, (q31_t)0xea51dd8, (q31_t)0xe8c25d5, (q31_t)0xe732d42, (q31_t)0xe5a3421, (q31_t)0xe413a72,
+ (q31_t)0xe284036,
+ (q31_t)0xe0f456f, (q31_t)0xdf64a1c, (q31_t)0xddd4e40, (q31_t)0xdc451dc, (q31_t)0xdab54ef, (q31_t)0xd92577b, (q31_t)0xd795982,
+ (q31_t)0xd605b03,
+ (q31_t)0xd475c00, (q31_t)0xd2e5c7b, (q31_t)0xd155c73, (q31_t)0xcfc5bea, (q31_t)0xce35ae1, (q31_t)0xcca5959, (q31_t)0xcb15752,
+ (q31_t)0xc9854cf,
+ (q31_t)0xc7f51cf, (q31_t)0xc664e53, (q31_t)0xc4d4a5d, (q31_t)0xc3445ee, (q31_t)0xc1b4107, (q31_t)0xc023ba7, (q31_t)0xbe935d2,
+ (q31_t)0xbd02f87,
+ (q31_t)0xbb728c7, (q31_t)0xb9e2193, (q31_t)0xb8519ed, (q31_t)0xb6c11d5, (q31_t)0xb53094d, (q31_t)0xb3a0055, (q31_t)0xb20f6ee,
+ (q31_t)0xb07ed19,
+ (q31_t)0xaeee2d7, (q31_t)0xad5d829, (q31_t)0xabccd11, (q31_t)0xaa3c18e, (q31_t)0xa8ab5a2, (q31_t)0xa71a94f, (q31_t)0xa589c94,
+ (q31_t)0xa3f8f73,
+ (q31_t)0xa2681ed, (q31_t)0xa0d7403, (q31_t)0x9f465b5, (q31_t)0x9db5706, (q31_t)0x9c247f5, (q31_t)0x9a93884, (q31_t)0x99028b3,
+ (q31_t)0x9771884,
+ (q31_t)0x95e07f8, (q31_t)0x944f70f, (q31_t)0x92be5ca, (q31_t)0x912d42c, (q31_t)0x8f9c233, (q31_t)0x8e0afe2, (q31_t)0x8c79d3a,
+ (q31_t)0x8ae8a3a,
+ (q31_t)0x89576e5, (q31_t)0x87c633c, (q31_t)0x8634f3e, (q31_t)0x84a3aee, (q31_t)0x831264c, (q31_t)0x8181159, (q31_t)0x7fefc16,
+ (q31_t)0x7e5e685,
+ (q31_t)0x7ccd0a5, (q31_t)0x7b3ba78, (q31_t)0x79aa400, (q31_t)0x7818d3c, (q31_t)0x768762e, (q31_t)0x74f5ed7, (q31_t)0x7364738,
+ (q31_t)0x71d2f52,
+ (q31_t)0x7041726, (q31_t)0x6eafeb4, (q31_t)0x6d1e5fe, (q31_t)0x6b8cd05, (q31_t)0x69fb3c9, (q31_t)0x6869a4c, (q31_t)0x66d808f,
+ (q31_t)0x6546692,
+ (q31_t)0x63b4c57, (q31_t)0x62231de, (q31_t)0x6091729, (q31_t)0x5effc38, (q31_t)0x5d6e10c, (q31_t)0x5bdc5a7, (q31_t)0x5a4aa09,
+ (q31_t)0x58b8e34,
+ (q31_t)0x5727228, (q31_t)0x55955e6, (q31_t)0x540396f, (q31_t)0x5271cc4, (q31_t)0x50dffe7, (q31_t)0x4f4e2d8, (q31_t)0x4dbc597,
+ (q31_t)0x4c2a827,
+ (q31_t)0x4a98a88, (q31_t)0x4906cbb, (q31_t)0x4774ec1, (q31_t)0x45e309a, (q31_t)0x4451249, (q31_t)0x42bf3cd, (q31_t)0x412d528,
+ (q31_t)0x3f9b65b,
+ (q31_t)0x3e09767, (q31_t)0x3c7784d, (q31_t)0x3ae590d, (q31_t)0x39539a9, (q31_t)0x37c1a22, (q31_t)0x362fa78, (q31_t)0x349daac,
+ (q31_t)0x330bac1,
+ (q31_t)0x3179ab5, (q31_t)0x2fe7a8c, (q31_t)0x2e55a44, (q31_t)0x2cc39e1, (q31_t)0x2b31961, (q31_t)0x299f8c7, (q31_t)0x280d813,
+ (q31_t)0x267b747,
+ (q31_t)0x24e9662, (q31_t)0x2357567, (q31_t)0x21c5457, (q31_t)0x2033331, (q31_t)0x1ea11f7, (q31_t)0x1d0f0ab, (q31_t)0x1b7cf4d,
+ (q31_t)0x19eaddd,
+ (q31_t)0x1858c5e, (q31_t)0x16c6ad0, (q31_t)0x1534934, (q31_t)0x13a278a, (q31_t)0x12105d5, (q31_t)0x107e414, (q31_t)0xeec249,
+ (q31_t)0xd5a075,
+ (q31_t)0xbc7e99, (q31_t)0xa35cb5, (q31_t)0x8a3acb, (q31_t)0x7118dc, (q31_t)0x57f6e9, (q31_t)0x3ed4f2, (q31_t)0x25b2f8,
+ (q31_t)0xc90fe
+};
+ #endif
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192)
+ const q31_t WeightsQ31_8192[16384] = {
+ (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffffd9, (q31_t)0xfff9b781, (q31_t)0x7fffff62, (q31_t)0xfff36f02, (q31_t)0x7ffffe9d, (q31_t)0xffed2684,
+ (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffffc25, (q31_t)0xffe09586, (q31_t)0x7ffffa73, (q31_t)0xffda4d08, (q31_t)0x7ffff872, (q31_t)0xffd40489,
+ (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7ffff382, (q31_t)0xffc7738c, (q31_t)0x7ffff094, (q31_t)0xffc12b0e, (q31_t)0x7fffed57, (q31_t)0xffbae290,
+ (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, (q31_t)0x7fffe5f0, (q31_t)0xffae5195, (q31_t)0x7fffe1c6, (q31_t)0xffa80917, (q31_t)0x7fffdd4d, (q31_t)0xffa1c09a,
+ (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffd36f, (q31_t)0xff952fa0, (q31_t)0x7fffce09, (q31_t)0xff8ee724, (q31_t)0x7fffc854, (q31_t)0xff889ea7,
+ (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffbbfe, (q31_t)0xff7c0db0, (q31_t)0x7fffb55c, (q31_t)0xff75c535, (q31_t)0x7fffae6c, (q31_t)0xff6f7cba,
+ (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff9f9e, (q31_t)0xff62ebc5, (q31_t)0x7fff97c1, (q31_t)0xff5ca34b, (q31_t)0x7fff8f94, (q31_t)0xff565ad1,
+ (q31_t)0x7fff8719, (q31_t)0xff501258, (q31_t)0x7fff7e4f, (q31_t)0xff49c9df, (q31_t)0x7fff7536, (q31_t)0xff438167, (q31_t)0x7fff6bcd, (q31_t)0xff3d38ef,
+ (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff5810, (q31_t)0xff30a801, (q31_t)0x7fff4dbb, (q31_t)0xff2a5f8b, (q31_t)0x7fff4317, (q31_t)0xff241715,
+ (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff2ce2, (q31_t)0xff17862b, (q31_t)0x7fff2151, (q31_t)0xff113db7, (q31_t)0x7fff1572, (q31_t)0xff0af543,
+ (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffefcc5, (q31_t)0xfefe645e, (q31_t)0x7ffeeff8, (q31_t)0xfef81bec, (q31_t)0x7ffee2dd, (q31_t)0xfef1d37b,
+ (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, (q31_t)0x7ffec7b9, (q31_t)0xfee5429a, (q31_t)0x7ffeb9b0, (q31_t)0xfedefa2b, (q31_t)0x7ffeab59, (q31_t)0xfed8b1bd,
+ (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe8dbd, (q31_t)0xfecc20e2, (q31_t)0x7ffe7e79, (q31_t)0xfec5d876, (q31_t)0x7ffe6ee5, (q31_t)0xfebf900a,
+ (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe4ed2, (q31_t)0xfeb2ff36, (q31_t)0x7ffe3e52, (q31_t)0xfeacb6cc, (q31_t)0x7ffe2d83, (q31_t)0xfea66e64,
+ (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffe0af8, (q31_t)0xfe99dd96, (q31_t)0x7ffdf93c, (q31_t)0xfe939530, (q31_t)0x7ffde731, (q31_t)0xfe8d4ccb,
+ (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, (q31_t)0x7ffdc22e, (q31_t)0xfe80bc04, (q31_t)0x7ffdaf37, (q31_t)0xfe7a73a2, (q31_t)0x7ffd9bf0, (q31_t)0xfe742b41,
+ (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd7476, (q31_t)0xfe679a81, (q31_t)0x7ffd6042, (q31_t)0xfe615223, (q31_t)0x7ffd4bc0, (q31_t)0xfe5b09c5,
+ (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffd21ce, (q31_t)0xfe4e790d, (q31_t)0x7ffd0c5f, (q31_t)0xfe4830b3, (q31_t)0x7ffcf6a0, (q31_t)0xfe41e85a,
+ (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffcca37, (q31_t)0xfe3557ab, (q31_t)0x7ffcb38c, (q31_t)0xfe2f0f55, (q31_t)0x7ffc9c92, (q31_t)0xfe28c700,
+ (q31_t)0x7ffc8549, (q31_t)0xfe227eac, (q31_t)0x7ffc6db1, (q31_t)0xfe1c365a, (q31_t)0x7ffc55ca, (q31_t)0xfe15ee09, (q31_t)0x7ffc3d94, (q31_t)0xfe0fa5b8,
+ (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffc0c3b, (q31_t)0xfe03151c, (q31_t)0x7ffbf319, (q31_t)0xfdfccccf, (q31_t)0x7ffbd9a7, (q31_t)0xfdf68484,
+ (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffba5d7, (q31_t)0xfde9f3f1, (q31_t)0x7ffb8b78, (q31_t)0xfde3aba9, (q31_t)0x7ffb70cb, (q31_t)0xfddd6363,
+ (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffb3a83, (q31_t)0xfdd0d2db, (q31_t)0x7ffb1ee9, (q31_t)0xfdca8a99, (q31_t)0x7ffb0300, (q31_t)0xfdc44258,
+ (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, (q31_t)0x7ffaca40, (q31_t)0xfdb7b1da, (q31_t)0x7ffaad6a, (q31_t)0xfdb1699e, (q31_t)0x7ffa9045, (q31_t)0xfdab2162,
+ (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ffa550e, (q31_t)0xfd9e90f0, (q31_t)0x7ffa36fc, (q31_t)0xfd9848b9, (q31_t)0x7ffa189c, (q31_t)0xfd920084,
+ (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff9daed, (q31_t)0xfd85701e, (q31_t)0x7ff9bba0, (q31_t)0xfd7f27ed, (q31_t)0x7ff99c03, (q31_t)0xfd78dfbd,
+ (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff95bdd, (q31_t)0xfd6c4f64, (q31_t)0x7ff93b54, (q31_t)0xfd660739, (q31_t)0x7ff91a7b, (q31_t)0xfd5fbf10,
+ (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, (q31_t)0x7ff8d7de, (q31_t)0xfd532ec3, (q31_t)0x7ff8b619, (q31_t)0xfd4ce69f, (q31_t)0x7ff89405, (q31_t)0xfd469e7c,
+ (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff84ef0, (q31_t)0xfd3a0e3d, (q31_t)0x7ff82bef, (q31_t)0xfd33c61f, (q31_t)0x7ff8089f, (q31_t)0xfd2d7e04,
+ (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff7c113, (q31_t)0xfd20edd2, (q31_t)0x7ff79cd6, (q31_t)0xfd1aa5bc, (q31_t)0x7ff7784a, (q31_t)0xfd145da7,
+ (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff72e46, (q31_t)0xfd07cd83, (q31_t)0x7ff708ce, (q31_t)0xfd018574, (q31_t)0x7ff6e307, (q31_t)0xfcfb3d67,
+ (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, (q31_t)0x7ff6968b, (q31_t)0xfceead52, (q31_t)0x7ff66fd7, (q31_t)0xfce8654b, (q31_t)0x7ff648d4, (q31_t)0xfce21d45,
+ (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff5f9e1, (q31_t)0xfcd58d3f, (q31_t)0x7ff5d1f1, (q31_t)0xfccf453f, (q31_t)0x7ff5a9b2, (q31_t)0xfcc8fd41,
+ (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff55848, (q31_t)0xfcbc6d4c, (q31_t)0x7ff52f1d, (q31_t)0xfcb62554, (q31_t)0x7ff505a2, (q31_t)0xfcafdd5e,
+ (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4b1c0, (q31_t)0xfca34d78, (q31_t)0x7ff48759, (q31_t)0xfc9d0588, (q31_t)0x7ff45ca3, (q31_t)0xfc96bd9b,
+ (q31_t)0x7ff4319d, (q31_t)0xfc9075af, (q31_t)0x7ff40649, (q31_t)0xfc8a2dc6, (q31_t)0x7ff3daa6, (q31_t)0xfc83e5de, (q31_t)0x7ff3aeb4, (q31_t)0xfc7d9df9,
+ (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff355e4, (q31_t)0xfc710e36, (q31_t)0x7ff32905, (q31_t)0xfc6ac657, (q31_t)0x7ff2fbd7, (q31_t)0xfc647e7b,
+ (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff2a08f, (q31_t)0xfc57eec9, (q31_t)0x7ff27275, (q31_t)0xfc51a6f3, (q31_t)0x7ff2440b, (q31_t)0xfc4b5f20,
+ (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1e64c, (q31_t)0xfc3ecf80, (q31_t)0x7ff1b6f6, (q31_t)0xfc3887b3, (q31_t)0x7ff18751, (q31_t)0xfc323fe9,
+ (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, (q31_t)0x7ff1271a, (q31_t)0xfc25b05c, (q31_t)0x7ff0f688, (q31_t)0xfc1f6899, (q31_t)0x7ff0c5a7, (q31_t)0xfc1920d8,
+ (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7ff062f9, (q31_t)0xfc0c915e, (q31_t)0x7ff0312c, (q31_t)0xfc0649a5, (q31_t)0x7fefff0f, (q31_t)0xfc0001ee,
+ (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7fef99ea, (q31_t)0xfbf37287, (q31_t)0x7fef66e1, (q31_t)0xfbed2ad8, (q31_t)0x7fef3388, (q31_t)0xfbe6e32b,
+ (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7feecbec, (q31_t)0xfbda53d8, (q31_t)0x7fee97a7, (q31_t)0xfbd40c33, (q31_t)0x7fee6313, (q31_t)0xfbcdc490,
+ (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0, (q31_t)0x7fedf8ff, (q31_t)0xfbc13552, (q31_t)0x7fedc37e, (q31_t)0xfbbaedb7, (q31_t)0x7fed8daf, (q31_t)0xfbb4a61f,
+ (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fed2123, (q31_t)0xfba816f6, (q31_t)0x7fecea67, (q31_t)0xfba1cf66, (q31_t)0x7fecb35c, (q31_t)0xfb9b87d8,
+ (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7fec4459, (q31_t)0xfb8ef8c5, (q31_t)0x7fec0c62, (q31_t)0xfb88b13f, (q31_t)0x7febd41b, (q31_t)0xfb8269bd,
+ (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feb62a1, (q31_t)0xfb75dac0, (q31_t)0x7feb296d, (q31_t)0xfb6f9345, (q31_t)0x7feaefeb, (q31_t)0xfb694bce,
+ (q31_t)0x7feab61a, (q31_t)0xfb630459, (q31_t)0x7fea7bfa, (q31_t)0xfb5cbce7, (q31_t)0x7fea418b, (q31_t)0xfb567578, (q31_t)0x7fea06cd, (q31_t)0xfb502e0c,
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+ (q31_t)0x7b3475e5, (q31_t)0xdd4b1d8c, (q31_t)0x7b32c19c, (q31_t)0xdd451159, (q31_t)0x7b310d07, (q31_t)0xdd3f053c, (q31_t)0x7b2f5826, (q31_t)0xdd38f935,
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+ (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b2514a6, (q31_t)0xdd14b2ca, (q31_t)0x7b235db2, (q31_t)0xdd0ea759, (q31_t)0x7b21a671, (q31_t)0xdd089bfe,
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+ (q31_t)0x7af660c2, (q31_t)0xdc719b96, (q31_t)0x7af4a1cc, (q31_t)0xdc6b9270, (q31_t)0x7af2e28b, (q31_t)0xdc658960, (q31_t)0x7af122fd, (q31_t)0xdc5f8066,
+ (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7aeda2fe, (q31_t)0xdc536eb3, (q31_t)0x7aebe28d, (q31_t)0xdc4d65fb, (q31_t)0x7aea21d0, (q31_t)0xdc475d59,
+ (q31_t)0x7ae860c7, (q31_t)0xdc4154cd, (q31_t)0x7ae69f73, (q31_t)0xdc3b4c57, (q31_t)0x7ae4ddd2, (q31_t)0xdc3543f7, (q31_t)0x7ae31be6, (q31_t)0xdc2f3bad,
+ (q31_t)0x7ae159ae, (q31_t)0xdc293379, (q31_t)0x7adf972a, (q31_t)0xdc232b5c, (q31_t)0x7addd45b, (q31_t)0xdc1d2354, (q31_t)0x7adc113f, (q31_t)0xdc171b63,
+ (q31_t)0x7ada4dd8, (q31_t)0xdc111388, (q31_t)0x7ad88a25, (q31_t)0xdc0b0bc2, (q31_t)0x7ad6c626, (q31_t)0xdc050414, (q31_t)0x7ad501dc, (q31_t)0xdbfefc7b,
+ (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ad17863, (q31_t)0xdbf2ed8c, (q31_t)0x7acfb336, (q31_t)0xdbece636, (q31_t)0x7acdedbc, (q31_t)0xdbe6def6,
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+ (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7ab50206, (q31_t)0xdb9282a2, (q31_t)0x7ab3381d, (q31_t)0xdb8c7cb1, (q31_t)0x7ab16de7, (q31_t)0xdb8676d8,
+ (q31_t)0x7aafa367, (q31_t)0xdb807114, (q31_t)0x7aadd89a, (q31_t)0xdb7a6b68, (q31_t)0x7aac0d82, (q31_t)0xdb7465d1, (q31_t)0x7aaa421e, (q31_t)0xdb6e6052,
+ (q31_t)0x7aa8766f, (q31_t)0xdb685ae9, (q31_t)0x7aa6aa74, (q31_t)0xdb625596, (q31_t)0x7aa4de2d, (q31_t)0xdb5c505a, (q31_t)0x7aa3119a, (q31_t)0xdb564b35,
+ (q31_t)0x7aa144bc, (q31_t)0xdb504626, (q31_t)0x7a9f7793, (q31_t)0xdb4a412e, (q31_t)0x7a9daa1d, (q31_t)0xdb443c4c, (q31_t)0x7a9bdc5c, (q31_t)0xdb3e3781,
+ (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd, (q31_t)0x7a983ff7, (q31_t)0xdb322e30, (q31_t)0x7a967153, (q31_t)0xdb2c29a9, (q31_t)0x7a94a264, (q31_t)0xdb262539,
+ (q31_t)0x7a92d329, (q31_t)0xdb2020e0, (q31_t)0x7a9103a2, (q31_t)0xdb1a1c9d, (q31_t)0x7a8f33d0, (q31_t)0xdb141871, (q31_t)0x7a8d63b2, (q31_t)0xdb0e145c,
+ (q31_t)0x7a8b9348, (q31_t)0xdb08105e, (q31_t)0x7a89c293, (q31_t)0xdb020c77, (q31_t)0x7a87f192, (q31_t)0xdafc08a6, (q31_t)0x7a862046, (q31_t)0xdaf604ec,
+ (q31_t)0x7a844eae, (q31_t)0xdaf00149, (q31_t)0x7a827ccb, (q31_t)0xdae9fdbd, (q31_t)0x7a80aa9c, (q31_t)0xdae3fa48, (q31_t)0x7a7ed821, (q31_t)0xdaddf6ea,
+ (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a7b3249, (q31_t)0xdad1f072, (q31_t)0x7a795eec, (q31_t)0xdacbed58, (q31_t)0x7a778b43, (q31_t)0xdac5ea56,
+ (q31_t)0x7a75b74f, (q31_t)0xdabfe76a, (q31_t)0x7a73e30f, (q31_t)0xdab9e495, (q31_t)0x7a720e84, (q31_t)0xdab3e1d8, (q31_t)0x7a7039ad, (q31_t)0xdaaddf31,
+ (q31_t)0x7a6e648a, (q31_t)0xdaa7dca1, (q31_t)0x7a6c8f1c, (q31_t)0xdaa1da29, (q31_t)0x7a6ab963, (q31_t)0xda9bd7c7, (q31_t)0x7a68e35e, (q31_t)0xda95d57d,
+ (q31_t)0x7a670d0d, (q31_t)0xda8fd349, (q31_t)0x7a653671, (q31_t)0xda89d12d, (q31_t)0x7a635f8a, (q31_t)0xda83cf28, (q31_t)0x7a618857, (q31_t)0xda7dcd3a,
+ (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a5dd90e, (q31_t)0xda71c9a3, (q31_t)0x7a5c00f9, (q31_t)0xda6bc7fa, (q31_t)0x7a5a2898, (q31_t)0xda65c669,
+ (q31_t)0x7a584feb, (q31_t)0xda5fc4ef, (q31_t)0x7a5676f3, (q31_t)0xda59c38c, (q31_t)0x7a549db0, (q31_t)0xda53c240, (q31_t)0x7a52c421, (q31_t)0xda4dc10b,
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+ (q31_t)0x7a497feb, (q31_t)0xda2fbc61, (q31_t)0x7a47a498, (q31_t)0xda29bbb9, (q31_t)0x7a45c8f9, (q31_t)0xda23bb27, (q31_t)0x7a43ed0e, (q31_t)0xda1dbaad,
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+ (q31_t)0x7a3a9d0f, (q31_t)0xd9ffb9a9, (q31_t)0x7a38bf60, (q31_t)0xd9f9b9bb, (q31_t)0x7a36e166, (q31_t)0xd9f3b9e5, (q31_t)0x7a350321, (q31_t)0xd9edba26,
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+ (q31_t)0x7a24256f, (q31_t)0xd9b7c094, (q31_t)0x7a224437, (q31_t)0xd9b1c1c0, (q31_t)0x7a2062b5, (q31_t)0xd9abc305, (q31_t)0x7a1e80e7, (q31_t)0xd9a5c461,
+ (q31_t)0x7a1c9ece, (q31_t)0xd99fc5d4, (q31_t)0x7a1abc69, (q31_t)0xd999c75f, (q31_t)0x7a18d9b9, (q31_t)0xd993c902, (q31_t)0x7a16f6be, (q31_t)0xd98dcabd,
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+ (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x7a0408c1, (q31_t)0xd951e123, (q31_t)0x7a02228a, (q31_t)0xd94be3e3, (q31_t)0x7a003c07, (q31_t)0xd945e6bb,
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+ (q31_t)0x79dfc064, (q31_t)0xd8e0256a, (q31_t)0x79ddd498, (q31_t)0xd8da29f2, (q31_t)0x79dbe880, (q31_t)0xd8d42e93, (q31_t)0x79d9fc1d, (q31_t)0xd8ce334c,
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+ (q31_t)0x79d059c8, (q31_t)0xd8b04c52, (q31_t)0x79ce6ba2, (q31_t)0xd8aa519c, (q31_t)0x79cc7d31, (q31_t)0xd8a456ff, (q31_t)0x79ca8e75, (q31_t)0xd89e5c79,
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+ (q31_t)0x79a1b545, (q31_t)0xd820e589, (q31_t)0x799fc015, (q31_t)0xd81aed1d, (q31_t)0x799dca9a, (q31_t)0xd814f4ca, (q31_t)0x799bd4d4, (q31_t)0xd80efc8f,
+ (q31_t)0x7999dec4, (q31_t)0xd809046e, (q31_t)0x7997e868, (q31_t)0xd8030c64, (q31_t)0x7995f1c1, (q31_t)0xd7fd1474, (q31_t)0x7993facf, (q31_t)0xd7f71c9c,
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+ (q31_t)0x79823f20, (q31_t)0xd7c16a5f, (q31_t)0x79804541, (q31_t)0xd7bb737f, (q31_t)0x797e4b16, (q31_t)0xd7b57cb7, (q31_t)0x797c50a1, (q31_t)0xd7af8609,
+ (q31_t)0x797a55e0, (q31_t)0xd7a98f73, (q31_t)0x79785ad5, (q31_t)0xd7a398f6, (q31_t)0x79765f7f, (q31_t)0xd79da293, (q31_t)0x797463de, (q31_t)0xd797ac48,
+ (q31_t)0x797267f2, (q31_t)0xd791b616, (q31_t)0x79706bbb, (q31_t)0xd78bbffc, (q31_t)0x796e6f39, (q31_t)0xd785c9fc, (q31_t)0x796c726c, (q31_t)0xd77fd415,
+ (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x796877f1, (q31_t)0xd773e892, (q31_t)0x79667a44, (q31_t)0xd76df2f6, (q31_t)0x79647c4c, (q31_t)0xd767fd72,
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+ (q31_t)0x79528167, (q31_t)0xd732603f, (q31_t)0x79508082, (q31_t)0xd72c6bb6, (q31_t)0x794e7f52, (q31_t)0xd7267748, (q31_t)0x794c7dd7, (q31_t)0xd72082f2,
+ (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x79487a01, (q31_t)0xd7149a92, (q31_t)0x794677a6, (q31_t)0xd70ea688, (q31_t)0x79447500, (q31_t)0xd708b297,
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+ (q31_t)0x79325006, (q31_t)0xd6d32393, (q31_t)0x79304a74, (q31_t)0xd6cd30a0, (q31_t)0x792e4497, (q31_t)0xd6c73dc6, (q31_t)0x792c3e70, (q31_t)0xd6c14b05,
+ (q31_t)0x792a37fe, (q31_t)0xd6bb585e, (q31_t)0x79283141, (q31_t)0xd6b565d0, (q31_t)0x79262a3a, (q31_t)0xd6af735c, (q31_t)0x792422e8, (q31_t)0xd6a98101,
+ (q31_t)0x79221b4b, (q31_t)0xd6a38ec0, (q31_t)0x79201363, (q31_t)0xd69d9c98, (q31_t)0x791e0b31, (q31_t)0xd697aa8a, (q31_t)0x791c02b4, (q31_t)0xd691b895,
+ (q31_t)0x7919f9ec, (q31_t)0xd68bc6ba, (q31_t)0x7917f0d9, (q31_t)0xd685d4f9, (q31_t)0x7915e77c, (q31_t)0xd67fe351, (q31_t)0x7913ddd4, (q31_t)0xd679f1c2,
+ (q31_t)0x7911d3e2, (q31_t)0xd674004e, (q31_t)0x790fc9a4, (q31_t)0xd66e0ef2, (q31_t)0x790dbf1d, (q31_t)0xd6681db1, (q31_t)0x790bb44a, (q31_t)0xd6622c89,
+ (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x79079dc5, (q31_t)0xd6564a87, (q31_t)0x79059212, (q31_t)0xd65059ac, (q31_t)0x79038615, (q31_t)0xd64a68eb,
+ (q31_t)0x790179cd, (q31_t)0xd6447844, (q31_t)0x78ff6d3b, (q31_t)0xd63e87b6, (q31_t)0x78fd605d, (q31_t)0xd6389742, (q31_t)0x78fb5336, (q31_t)0xd632a6e8,
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+ (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78e6bfa0, (q31_t)0xd5f748f0, (q31_t)0x78e4af44, (q31_t)0xd5f159b3, (q31_t)0x78e29e9d, (q31_t)0xd5eb6a8f,
+ (q31_t)0x78e08dab, (q31_t)0xd5e57b85, (q31_t)0x78de7c6f, (q31_t)0xd5df8c96, (q31_t)0x78dc6ae8, (q31_t)0xd5d99dc0, (q31_t)0x78da5917, (q31_t)0xd5d3af04,
+ (q31_t)0x78d846fb, (q31_t)0xd5cdc062, (q31_t)0x78d63495, (q31_t)0xd5c7d1db, (q31_t)0x78d421e4, (q31_t)0xd5c1e36d, (q31_t)0x78d20ee9, (q31_t)0xd5bbf519,
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+ (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78c596e7, (q31_t)0xd5986148, (q31_t)0x78c381e2, (q31_t)0xd59273ab, (q31_t)0x78c16c93, (q31_t)0xd58c8628,
+ (q31_t)0x78bf56f9, (q31_t)0xd58698c0, (q31_t)0x78bd4114, (q31_t)0xd580ab72, (q31_t)0x78bb2ae5, (q31_t)0xd57abe3d, (q31_t)0x78b9146c, (q31_t)0xd574d124,
+ (q31_t)0x78b6fda8, (q31_t)0xd56ee424, (q31_t)0x78b4e69a, (q31_t)0xd568f73f, (q31_t)0x78b2cf41, (q31_t)0xd5630a74, (q31_t)0x78b0b79e, (q31_t)0xd55d1dc3,
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+ (q31_t)0x78a63d11, (q31_t)0xd53f7fda, (q31_t)0x78a423af, (q31_t)0xd53993c7, (q31_t)0x78a20a03, (q31_t)0xd533a7cf, (q31_t)0x789ff00c, (q31_t)0xd52dbbf1,
+ (q31_t)0x789dd5cb, (q31_t)0xd527d02e, (q31_t)0x789bbb3f, (q31_t)0xd521e484, (q31_t)0x7899a06a, (q31_t)0xd51bf8f6, (q31_t)0x78978549, (q31_t)0xd5160d82,
+ (q31_t)0x789569df, (q31_t)0xd5102228, (q31_t)0x78934e2a, (q31_t)0xd50a36e9, (q31_t)0x7891322a, (q31_t)0xd5044bc4, (q31_t)0x788f15e0, (q31_t)0xd4fe60ba,
+ (q31_t)0x788cf94c, (q31_t)0xd4f875ca, (q31_t)0x788adc6e, (q31_t)0xd4f28af5, (q31_t)0x7888bf45, (q31_t)0xd4eca03a, (q31_t)0x7886a1d1, (q31_t)0xd4e6b59a,
+ (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x7882660c, (q31_t)0xd4dae0aa, (q31_t)0x788047ba, (q31_t)0xd4d4f65a, (q31_t)0x787e291d, (q31_t)0xd4cf0c24,
+ (q31_t)0x787c0a36, (q31_t)0xd4c92209, (q31_t)0x7879eb05, (q31_t)0xd4c33809, (q31_t)0x7877cb89, (q31_t)0xd4bd4e23, (q31_t)0x7875abc3, (q31_t)0xd4b76458,
+ (q31_t)0x78738bb3, (q31_t)0xd4b17aa8, (q31_t)0x78716b59, (q31_t)0xd4ab9112, (q31_t)0x786f4ab4, (q31_t)0xd4a5a798, (q31_t)0x786d29c5, (q31_t)0xd49fbe37,
+ (q31_t)0x786b088c, (q31_t)0xd499d4f2, (q31_t)0x7868e708, (q31_t)0xd493ebc8, (q31_t)0x7866c53a, (q31_t)0xd48e02b8, (q31_t)0x7864a322, (q31_t)0xd48819c3,
+ (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78605e13, (q31_t)0xd47c4829, (q31_t)0x785e3b1c, (q31_t)0xd4765f85, (q31_t)0x785c17db, (q31_t)0xd47076fb,
+ (q31_t)0x7859f44f, (q31_t)0xd46a8e8d, (q31_t)0x7857d079, (q31_t)0xd464a639, (q31_t)0x7855ac5a, (q31_t)0xd45ebe00, (q31_t)0x785387ef, (q31_t)0xd458d5e2,
+ (q31_t)0x7851633b, (q31_t)0xd452eddf, (q31_t)0x784f3e3c, (q31_t)0xd44d05f6, (q31_t)0x784d18f4, (q31_t)0xd4471e29, (q31_t)0x784af361, (q31_t)0xd4413677,
+ (q31_t)0x7848cd83, (q31_t)0xd43b4ee0, (q31_t)0x7846a75c, (q31_t)0xd4356763, (q31_t)0x784480ea, (q31_t)0xd42f8002, (q31_t)0x78425a2f, (q31_t)0xd42998bc,
+ (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x783e0bd9, (q31_t)0xd41dca81, (q31_t)0x783be43e, (q31_t)0xd417e38c, (q31_t)0x7839bc5a, (q31_t)0xd411fcb2,
+ (q31_t)0x7837942b, (q31_t)0xd40c15f3, (q31_t)0x78356bb2, (q31_t)0xd4062f4f, (q31_t)0x783342ef, (q31_t)0xd40048c6, (q31_t)0x783119e2, (q31_t)0xd3fa6259,
+ (q31_t)0x782ef08b, (q31_t)0xd3f47c06, (q31_t)0x782cc6ea, (q31_t)0xd3ee95cf, (q31_t)0x782a9cfe, (q31_t)0xd3e8afb3, (q31_t)0x782872c8, (q31_t)0xd3e2c9b2,
+ (q31_t)0x78264849, (q31_t)0xd3dce3cd, (q31_t)0x78241d7f, (q31_t)0xd3d6fe03, (q31_t)0x7821f26b, (q31_t)0xd3d11853, (q31_t)0x781fc70d, (q31_t)0xd3cb32c0,
+ (q31_t)0x781d9b65, (q31_t)0xd3c54d47, (q31_t)0x781b6f72, (q31_t)0xd3bf67ea, (q31_t)0x78194336, (q31_t)0xd3b982a8, (q31_t)0x781716b0, (q31_t)0xd3b39d81,
+ (q31_t)0x7814e9df, (q31_t)0xd3adb876, (q31_t)0x7812bcc4, (q31_t)0xd3a7d385, (q31_t)0x78108f60, (q31_t)0xd3a1eeb1, (q31_t)0x780e61b1, (q31_t)0xd39c09f7,
+ (q31_t)0x780c33b8, (q31_t)0xd396255a, (q31_t)0x780a0575, (q31_t)0xd39040d7, (q31_t)0x7807d6e9, (q31_t)0xd38a5c70, (q31_t)0x7805a812, (q31_t)0xd3847824,
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+ (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77d55878, (q31_t)0xd302f4da, (q31_t)0x77d322fc, (q31_t)0xd2fd1309, (q31_t)0x77d0ed35, (q31_t)0xd2f73154,
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+ (q31_t)0x7775581d, (q31_t)0xd206695d, (q31_t)0x7773163b, (q31_t)0xd2008c43, (q31_t)0x7770d40f, (q31_t)0xd1faaf45, (q31_t)0x776e919a, (q31_t)0xd1f4d263,
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+ (q31_t)0x775a2e89, (q31_t)0xd1c01375, (q31_t)0x7757e933, (q31_t)0xd1ba37b0, (q31_t)0x7755a394, (q31_t)0xd1b45c08, (q31_t)0x77535dab, (q31_t)0xd1ae807c,
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+ (q31_t)0x773edb8b, (q31_t)0xd179cd99, (q31_t)0x773c92c2, (q31_t)0xd173f32c, (q31_t)0x773a49b0, (q31_t)0xd16e18db, (q31_t)0x77380054, (q31_t)0xd1683ea7,
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+ (q31_t)0x7710f54c, (q31_t)0xd104d26b, (q31_t)0x770ea6c5, (q31_t)0xd0fefa3f, (q31_t)0x770c57f5, (q31_t)0xd0f9222f, (q31_t)0x770a08dc, (q31_t)0xd0f34a3d,
+ (q31_t)0x7707b979, (q31_t)0xd0ed7267, (q31_t)0x770569cc, (q31_t)0xd0e79aaf, (q31_t)0x770319d6, (q31_t)0xd0e1c313, (q31_t)0x7700c997, (q31_t)0xd0dbeb95,
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+ (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76f2e216, (q31_t)0xd0b8e102, (q31_t)0x76f08fd5, (q31_t)0xd0b30a50, (q31_t)0x76ee3d4b, (q31_t)0xd0ad33ba,
+ (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e9975a, (q31_t)0xd0a186e7, (q31_t)0x76e743f4, (q31_t)0xd09bb0aa, (q31_t)0x76e4f044, (q31_t)0xd095da89,
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+ (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76d6f421, (q31_t)0xd072d82d, (q31_t)0x76d49e70, (q31_t)0xd06d02da, (q31_t)0x76d24876, (q31_t)0xd0672da3,
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+ (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76c43e95, (q31_t)0xd04430c8, (q31_t)0x76c1e699, (q31_t)0xd03e5c60, (q31_t)0x76bf8e55, (q31_t)0xd0388815,
+ (q31_t)0x76bd35c7, (q31_t)0xd032b3e7, (q31_t)0x76badcf0, (q31_t)0xd02cdfd8, (q31_t)0x76b883d0, (q31_t)0xd0270be5, (q31_t)0x76b62a66, (q31_t)0xd0213810,
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+ (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a80bec, (q31_t)0xcffe4380, (q31_t)0x76a5b082, (q31_t)0xcff8707a, (q31_t)0x76a354cf, (q31_t)0xcff29d92,
+ (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x769e9c8d, (q31_t)0xcfe6f81a, (q31_t)0x769c3ffe, (q31_t)0xcfe1258b, (q31_t)0x7699e326, (q31_t)0xcfdb531a,
+ (q31_t)0x76978605, (q31_t)0xcfd580c6, (q31_t)0x7695289b, (q31_t)0xcfcfae8f, (q31_t)0x7692cae8, (q31_t)0xcfc9dc77, (q31_t)0x76906ceb, (q31_t)0xcfc40a7c,
+ (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768bb017, (q31_t)0xcfb866e0, (q31_t)0x7689513f, (q31_t)0xcfb2953f, (q31_t)0x7686f21e, (q31_t)0xcfacc3bb,
+ (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x76823301, (q31_t)0xcfa1210d, (q31_t)0x767fd304, (q31_t)0xcf9b4fe3, (q31_t)0x767d72bf, (q31_t)0xcf957ed7,
+ (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x7678b159, (q31_t)0xcf89dd18, (q31_t)0x76765038, (q31_t)0xcf840c65, (q31_t)0x7673eecf, (q31_t)0xcf7e3bd1,
+ (q31_t)0x76718d1c, (q31_t)0xcf786b5a, (q31_t)0x766f2b20, (q31_t)0xcf729b01, (q31_t)0x766cc8db, (q31_t)0xcf6ccac6, (q31_t)0x766a664d, (q31_t)0xcf66faa9,
+ (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x7665a056, (q31_t)0xcf5b5ac9, (q31_t)0x76633ced, (q31_t)0xcf558b06, (q31_t)0x7660d93b, (q31_t)0xcf4fbb61,
+ (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x765c10fc, (q31_t)0xcf441c71, (q31_t)0x7659ac6f, (q31_t)0xcf3e4d26, (q31_t)0x76574798, (q31_t)0xcf387dfa,
+ (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x76527d11, (q31_t)0xcf2cdffa, (q31_t)0x76501760, (q31_t)0xcf271128, (q31_t)0x764db166, (q31_t)0xcf214274,
+ (q31_t)0x764b4b23, (q31_t)0xcf1b73de, (q31_t)0x7648e497, (q31_t)0xcf15a566, (q31_t)0x76467dc2, (q31_t)0xcf0fd70c, (q31_t)0x764416a4, (q31_t)0xcf0a08d0,
+ (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x763f478d, (q31_t)0xcefe6cb3, (q31_t)0x763cdf94, (q31_t)0xcef89ed2, (q31_t)0x763a7752, (q31_t)0xcef2d110,
+ (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x7635a5f4, (q31_t)0xcee735e5, (q31_t)0x76333cd8, (q31_t)0xcee1687d, (q31_t)0x7630d372, (q31_t)0xcedb9b33,
+ (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x762bffcd, (q31_t)0xced000fb, (q31_t)0x7629958c, (q31_t)0xceca340c, (q31_t)0x76272b03, (q31_t)0xcec4673c,
+ (q31_t)0x7624c031, (q31_t)0xcebe9a8a, (q31_t)0x76225517, (q31_t)0xceb8cdf7, (q31_t)0x761fe9b3, (q31_t)0xceb30181, (q31_t)0x761d7e06, (q31_t)0xcead352b,
+ (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x7618a5d3, (q31_t)0xcea19cd8, (q31_t)0x7616394c, (q31_t)0xce9bd0dd, (q31_t)0x7613cc7c, (q31_t)0xce960500,
+ (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x760ef201, (q31_t)0xce8a6da2, (q31_t)0x760c8457, (q31_t)0xce84a220, (q31_t)0x760a1664, (q31_t)0xce7ed6bd,
+ (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x760539a3, (q31_t)0xce734053, (q31_t)0x7602cad5, (q31_t)0xce6d754c, (q31_t)0x76005bbf, (q31_t)0xce67aa63,
+ (q31_t)0x75fdec60, (q31_t)0xce61df99, (q31_t)0x75fb7cb8, (q31_t)0xce5c14ed, (q31_t)0x75f90cc7, (q31_t)0xce564a60, (q31_t)0x75f69c8d, (q31_t)0xce507ff2,
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+ (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e7f53c, (q31_t)0xce2dc3e1, (q31_t)0x75e58305, (q31_t)0xce27fa49, (q31_t)0x75e31086, (q31_t)0xce2230d0,
+ (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75de2aac, (q31_t)0xce169e3b, (q31_t)0x75dbb753, (q31_t)0xce10d51f, (q31_t)0x75d943b0, (q31_t)0xce0b0c21,
+ (q31_t)0x75d6cfc5, (q31_t)0xce054343, (q31_t)0x75d45b92, (q31_t)0xcdff7a83, (q31_t)0x75d1e715, (q31_t)0xcdf9b1e2, (q31_t)0x75cf7250, (q31_t)0xcdf3e95f,
+ (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75ca87ec, (q31_t)0xcde858b8, (q31_t)0x75c8124d, (q31_t)0xcde29092, (q31_t)0x75c59c65, (q31_t)0xcddcc88b,
+ (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75c0afbb, (q31_t)0xcdd138db, (q31_t)0x75be38fa, (q31_t)0xcdcb7131, (q31_t)0x75bbc1ef, (q31_t)0xcdc5a9a6,
+ (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75b6d301, (q31_t)0xcdba1aee, (q31_t)0x75b45b1d, (q31_t)0xcdb453c0, (q31_t)0x75b1e2f0, (q31_t)0xcdae8cb1,
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+ (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x75992198, (q31_t)0xcd74ccca, (q31_t)0x7596a64d, (q31_t)0xcd6f0711, (q31_t)0x75942ab9, (q31_t)0xcd694178,
+ (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x758f32b9, (q31_t)0xcd5db6a3, (q31_t)0x758cb64c, (q31_t)0xcd57f167, (q31_t)0x758a3996, (q31_t)0xcd522c4a,
+ (q31_t)0x7587bc98, (q31_t)0xcd4c674d, (q31_t)0x75853f51, (q31_t)0xcd46a26f, (q31_t)0x7582c1c2, (q31_t)0xcd40ddb0, (q31_t)0x758043ea, (q31_t)0xcd3b1911,
+ (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x757b4762, (q31_t)0xcd2f9030, (q31_t)0x7578c8b0, (q31_t)0xcd29cbee, (q31_t)0x757649b7, (q31_t)0xcd2407cc,
+ (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x75714aea, (q31_t)0xcd187fe6, (q31_t)0x756ecb18, (q31_t)0xcd12bc22, (q31_t)0x756c4afc, (q31_t)0xcd0cf87e,
+ (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x756749ec, (q31_t)0xcd017193, (q31_t)0x7564c8f8, (q31_t)0xccfbae4d, (q31_t)0x756247bb, (q31_t)0xccf5eb26,
+ (q31_t)0x755fc635, (q31_t)0xccf0281f, (q31_t)0x755d4467, (q31_t)0xccea6538, (q31_t)0x755ac251, (q31_t)0xcce4a26f, (q31_t)0x75583ff3, (q31_t)0xccdedfc7,
+ (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x75533a5c, (q31_t)0xccd35ad4, (q31_t)0x7550b725, (q31_t)0xcccd988a, (q31_t)0x754e33a4, (q31_t)0xccc7d65f,
+ (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75492bcb, (q31_t)0xccbc5269, (q31_t)0x7546a772, (q31_t)0xccb6909e, (q31_t)0x754422d0, (q31_t)0xccb0cef2,
+ (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x753f18b4, (q31_t)0xcca54bf9, (q31_t)0x753c933a, (q31_t)0xcc9f8aac, (q31_t)0x753a0d77, (q31_t)0xcc99c97e,
+ (q31_t)0x7537876c, (q31_t)0xcc940871, (q31_t)0x75350118, (q31_t)0xcc8e4783, (q31_t)0x75327a7d, (q31_t)0xcc8886b5, (q31_t)0x752ff399, (q31_t)0xcc82c607,
+ (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x752ae4f8, (q31_t)0xcc774509, (q31_t)0x75285d3b, (q31_t)0xcc7184ba, (q31_t)0x7525d536, (q31_t)0xcc6bc48b,
+ (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x7520c453, (q31_t)0xcc60448c, (q31_t)0x751e3b75, (q31_t)0xcc5a84bc, (q31_t)0x751bb24f, (q31_t)0xcc54c50c,
+ (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x75169f2a, (q31_t)0xcc49460c, (q31_t)0x7514152b, (q31_t)0xcc4386bc, (q31_t)0x75118ae4, (q31_t)0xcc3dc78b,
+ (q31_t)0x750f0054, (q31_t)0xcc38087b, (q31_t)0x750c757d, (q31_t)0xcc32498a, (q31_t)0x7509ea5d, (q31_t)0xcc2c8aba, (q31_t)0x75075ef5, (q31_t)0xcc26cc09,
+ (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x7502474d, (q31_t)0xcc1b4f08, (q31_t)0x74ffbb0d, (q31_t)0xcc1590b8, (q31_t)0x74fd2e84, (q31_t)0xcc0fd287,
+ (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f8149a, (q31_t)0xcc045686, (q31_t)0x74f58739, (q31_t)0xcbfe98b6, (q31_t)0x74f2f990, (q31_t)0xcbf8db05,
+ (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74eddd65, (q31_t)0xcbed6005, (q31_t)0x74eb4ee3, (q31_t)0xcbe7a2b5, (q31_t)0x74e8c01a, (q31_t)0xcbe1e585,
+ (q31_t)0x74e63108, (q31_t)0xcbdc2876, (q31_t)0x74e3a1ae, (q31_t)0xcbd66b86, (q31_t)0x74e1120c, (q31_t)0xcbd0aeb7, (q31_t)0x74de8221, (q31_t)0xcbcaf208,
+ (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d96175, (q31_t)0xcbbf790a, (q31_t)0x74d6d0b2, (q31_t)0xcbb9bcbb, (q31_t)0x74d43fa8, (q31_t)0xcbb4008d,
+ (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74cf1cbb, (q31_t)0xcba88891, (q31_t)0x74cc8ad8, (q31_t)0xcba2ccc4, (q31_t)0x74c9f8ad, (q31_t)0xcb9d1117,
+ (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74c4d380, (q31_t)0xcb919a1d, (q31_t)0x74c2407d, (q31_t)0xcb8bded1, (q31_t)0x74bfad32, (q31_t)0xcb8623a5,
+ (q31_t)0x74bd199f, (q31_t)0xcb80689a, (q31_t)0x74ba85c4, (q31_t)0xcb7aadaf, (q31_t)0x74b7f1a1, (q31_t)0xcb74f2e4, (q31_t)0x74b55d36, (q31_t)0xcb6f383a,
+ (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74b03389, (q31_t)0xcb63c347, (q31_t)0x74ad9e46, (q31_t)0xcb5e08fe, (q31_t)0x74ab08bb, (q31_t)0xcb584ed6,
+ (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x74a5dccd, (q31_t)0xcb4cdae6, (q31_t)0x74a3466b, (q31_t)0xcb47211f, (q31_t)0x74a0afc0, (q31_t)0xcb416779,
+ (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x749b8193, (q31_t)0xcb35f48d, (q31_t)0x7498ea11, (q31_t)0xcb303b49, (q31_t)0x74965246, (q31_t)0xcb2a8224,
+ (q31_t)0x7493ba34, (q31_t)0xcb24c921, (q31_t)0x749121da, (q31_t)0xcb1f103e, (q31_t)0x748e8938, (q31_t)0xcb19577b, (q31_t)0x748bf04d, (q31_t)0xcb139ed9,
+ (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x7486bda2, (q31_t)0xcb082df8, (q31_t)0x748423e0, (q31_t)0xcb0275b8, (q31_t)0x748189d7, (q31_t)0xcafcbd99,
+ (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x747c54ec, (q31_t)0xcaf14dbd, (q31_t)0x7479ba0b, (q31_t)0xcaeb9600, (q31_t)0x74771ee2, (q31_t)0xcae5de64,
+ (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x7471e7b8, (q31_t)0xcada6f8d, (q31_t)0x746f4bb8, (q31_t)0xcad4b853, (q31_t)0x746caf70, (q31_t)0xcacf013a,
+ (q31_t)0x746a12df, (q31_t)0xcac94a42, (q31_t)0x74677608, (q31_t)0xcac3936b, (q31_t)0x7464d8e8, (q31_t)0xcabddcb4, (q31_t)0x74623b80, (q31_t)0xcab8261e,
+ (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x745cffda, (q31_t)0xcaacb955, (q31_t)0x745a619b, (q31_t)0xcaa70322, (q31_t)0x7457c314, (q31_t)0xcaa14d10,
+ (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x74528530, (q31_t)0xca95e14e, (q31_t)0x744fe5d2, (q31_t)0xca902b9f, (q31_t)0x744d462c, (q31_t)0xca8a7610,
+ (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x7448060a, (q31_t)0xca7f0b56, (q31_t)0x7445658d, (q31_t)0xca79562b, (q31_t)0x7442c4c8, (q31_t)0xca73a120,
+ (q31_t)0x744023bc, (q31_t)0xca6dec37, (q31_t)0x743d8268, (q31_t)0xca68376e, (q31_t)0x743ae0cc, (q31_t)0xca6282c7, (q31_t)0x74383ee9, (q31_t)0xca5cce40,
+ (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x7432fa4b, (q31_t)0xca516597, (q31_t)0x74305790, (q31_t)0xca4bb174, (q31_t)0x742db48e, (q31_t)0xca45fd72,
+ (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74286db3, (q31_t)0xca3a95d2, (q31_t)0x7425c9da, (q31_t)0xca34e234, (q31_t)0x742325b9, (q31_t)0xca2f2eb6,
+ (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x741ddca0, (q31_t)0xca23c820, (q31_t)0x741b37a9, (q31_t)0xca1e1506, (q31_t)0x74189269, (q31_t)0xca18620e,
+ (q31_t)0x7415ece2, (q31_t)0xca12af37, (q31_t)0x74134714, (q31_t)0xca0cfc81, (q31_t)0x7410a0fe, (q31_t)0xca0749ec, (q31_t)0x740dfaa0, (q31_t)0xca019779,
+ (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7408ad0e, (q31_t)0xc9f632f6, (q31_t)0x740605d9, (q31_t)0xc9f080e7, (q31_t)0x74035e5d, (q31_t)0xc9eacef9,
+ (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73fe0e8f, (q31_t)0xc9df6b81, (q31_t)0x73fb663c, (q31_t)0xc9d9b9f7, (q31_t)0x73f8bda2, (q31_t)0xc9d4088f,
+ (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73f36b97, (q31_t)0xc9c8a622, (q31_t)0x73f0c226, (q31_t)0xc9c2f51e, (q31_t)0x73ee186e, (q31_t)0xc9bd443c,
+ (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a, (q31_t)0x73e8c426, (q31_t)0xc9b1e2db, (q31_t)0x73e61997, (q31_t)0xc9ac325d, (q31_t)0x73e36ec1, (q31_t)0xc9a68200,
+ (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73de183e, (q31_t)0xc99b21ab, (q31_t)0x73db6c91, (q31_t)0xc99571b3, (q31_t)0x73d8c09d, (q31_t)0xc98fc1dc,
+ (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73d367de, (q31_t)0xc9846294, (q31_t)0x73d0bb13, (q31_t)0xc97eb322, (q31_t)0x73ce0e01, (q31_t)0xc97903d2,
+ (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c8b307, (q31_t)0xc96da597, (q31_t)0x73c6051f, (q31_t)0xc967f6ac, (q31_t)0x73c356ef, (q31_t)0xc96247e2,
+ (q31_t)0x73c0a878, (q31_t)0xc95c993a, (q31_t)0x73bdf9b9, (q31_t)0xc956eab4, (q31_t)0x73bb4ab3, (q31_t)0xc9513c50, (q31_t)0x73b89b66, (q31_t)0xc94b8e0d,
+ (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73b33bf5, (q31_t)0xc94031ed, (q31_t)0x73b08bd1, (q31_t)0xc93a8410, (q31_t)0x73addb67, (q31_t)0xc934d654,
+ (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a879bb, (q31_t)0xc9297b42, (q31_t)0x73a5c87a, (q31_t)0xc923cdec, (q31_t)0x73a316f2, (q31_t)0xc91e20b8,
+ (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x739db30b, (q31_t)0xc912c6b5, (q31_t)0x739b00ad, (q31_t)0xc90d19e6, (q31_t)0x73984e07, (q31_t)0xc9076d39,
+ (q31_t)0x73959b1b, (q31_t)0xc901c0ae, (q31_t)0x7392e7e6, (q31_t)0xc8fc1445, (q31_t)0x7390346b, (q31_t)0xc8f667fe, (q31_t)0x738d80a8, (q31_t)0xc8f0bbd9,
+ (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x7388184d, (q31_t)0xc8e563f5, (q31_t)0x738563b5, (q31_t)0xc8dfb836, (q31_t)0x7382aed5, (q31_t)0xc8da0c99,
+ (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x737d4440, (q31_t)0xc8ceb5c4, (q31_t)0x737a8e8a, (q31_t)0xc8c90a8d, (q31_t)0x7377d88d, (q31_t)0xc8c35f78,
+ (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x73726bbe, (q31_t)0xc8b809b4, (q31_t)0x736fb4ec, (q31_t)0xc8b25f06, (q31_t)0x736cfdd2, (q31_t)0xc8acb479,
+ (q31_t)0x736a4671, (q31_t)0xc8a70a0e, (q31_t)0x73678ec9, (q31_t)0xc8a15fc6, (q31_t)0x7364d6da, (q31_t)0xc89bb5a0, (q31_t)0x73621ea4, (q31_t)0xc8960b9c,
+ (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x735cad61, (q31_t)0xc88ab7fa, (q31_t)0x7359f456, (q31_t)0xc8850e5d, (q31_t)0x73573b03, (q31_t)0xc87f64e2,
+ (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x7351c787, (q31_t)0xc8741252, (q31_t)0x734f0d5f, (q31_t)0xc86e693d, (q31_t)0x734c52ef, (q31_t)0xc868c04b,
+ (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x7346dd3a, (q31_t)0xc85d6ece, (q31_t)0x734421f6, (q31_t)0xc857c642, (q31_t)0x7341666a, (q31_t)0xc8521dd9,
+ (q31_t)0x733eaa96, (q31_t)0xc84c7593, (q31_t)0x733bee7c, (q31_t)0xc846cd6e, (q31_t)0x7339321b, (q31_t)0xc841256d, (q31_t)0x73367572, (q31_t)0xc83b7d8d,
+ (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7330fb4d, (q31_t)0xc8302e35, (q31_t)0x732e3dcf, (q31_t)0xc82a86bd, (q31_t)0x732b800a, (q31_t)0xc824df67,
+ (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x732603ac, (q31_t)0xc8199123, (q31_t)0x73234512, (q31_t)0xc813ea35, (q31_t)0x73208632, (q31_t)0xc80e4369,
+ (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x731b079b, (q31_t)0xc802f638, (q31_t)0x731847e5, (q31_t)0xc7fd4fd4, (q31_t)0x731587e8, (q31_t)0xc7f7a992,
+ (q31_t)0x7312c7a5, (q31_t)0xc7f20373, (q31_t)0x7310071a, (q31_t)0xc7ec5d76, (q31_t)0x730d4648, (q31_t)0xc7e6b79c, (q31_t)0x730a8530, (q31_t)0xc7e111e5,
+ (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x73050229, (q31_t)0xc7d5c6de, (q31_t)0x7302403c, (q31_t)0xc7d0218e, (q31_t)0x72ff7e07, (q31_t)0xc7ca7c61,
+ (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f9f8c9, (q31_t)0xc7bf3270, (q31_t)0x72f735c0, (q31_t)0xc7b98dab, (q31_t)0x72f47270, (q31_t)0xc7b3e909,
+ (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72eeeafb, (q31_t)0xc7a8a02c, (q31_t)0x72ec26d6, (q31_t)0xc7a2fbf3, (q31_t)0x72e9626a, (q31_t)0xc79d57db,
+ (q31_t)0x72e69db7, (q31_t)0xc797b3e7, (q31_t)0x72e3d8be, (q31_t)0xc7921015, (q31_t)0x72e1137d, (q31_t)0xc78c6c67, (q31_t)0x72de4df6, (q31_t)0xc786c8db,
+ (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d8c213, (q31_t)0xc77b822b, (q31_t)0x72d5fbb7, (q31_t)0xc775df08, (q31_t)0x72d33514, (q31_t)0xc7703c08,
+ (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72cda6fb, (q31_t)0xc764f66f, (q31_t)0x72cadf83, (q31_t)0xc75f53d7, (q31_t)0x72c817c6, (q31_t)0xc759b163,
+ (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72c28775, (q31_t)0xc74e6ce2, (q31_t)0x72bfbee3, (q31_t)0xc748cad6, (q31_t)0x72bcf60a, (q31_t)0xc74328ed,
+ (q31_t)0x72ba2cea, (q31_t)0xc73d8727, (q31_t)0x72b76383, (q31_t)0xc737e584, (q31_t)0x72b499d6, (q31_t)0xc7324404, (q31_t)0x72b1cfe1, (q31_t)0xc72ca2a7,
+ (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72ac3b25, (q31_t)0xc7216056, (q31_t)0x72a9705c, (q31_t)0xc71bbf62, (q31_t)0x72a6a54d, (q31_t)0xc7161e92,
+ (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x72a10e5b, (q31_t)0xc70add5a, (q31_t)0x729e4277, (q31_t)0xc7053cf2, (q31_t)0x729b764d, (q31_t)0xc6ff9cae,
+ (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x7295dd25, (q31_t)0xc6f45c8f, (q31_t)0x72931027, (q31_t)0xc6eebcb5, (q31_t)0x729042e3, (q31_t)0xc6e91cfd,
+ (q31_t)0x728d7557, (q31_t)0xc6e37d69, (q31_t)0x728aa785, (q31_t)0xc6ddddf8, (q31_t)0x7287d96c, (q31_t)0xc6d83eab, (q31_t)0x72850b0d, (q31_t)0xc6d29f80,
+ (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x727f6d7a, (q31_t)0xc6c76195, (q31_t)0x727c9e47, (q31_t)0xc6c1c2d4, (q31_t)0x7279cecd, (q31_t)0xc6bc2437,
+ (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x72742f05, (q31_t)0xc6b0e767, (q31_t)0x72715eb8, (q31_t)0xc6ab4933, (q31_t)0x726e8e23, (q31_t)0xc6a5ab23,
+ (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7268ec27, (q31_t)0xc69a6f6e, (q31_t)0x72661abf, (q31_t)0xc694d1c8, (q31_t)0x72634910, (q31_t)0xc68f3446,
+ (q31_t)0x7260771b, (q31_t)0xc68996e7, (q31_t)0x725da4df, (q31_t)0xc683f9ab, (q31_t)0x725ad25d, (q31_t)0xc67e5c93, (q31_t)0x7257ff94, (q31_t)0xc678bf9f,
+ (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7252592f, (q31_t)0xc66d8620, (q31_t)0x724f8593, (q31_t)0xc667e996, (q31_t)0x724cb1b0, (q31_t)0xc6624d30,
+ (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x72470916, (q31_t)0xc65714cd, (q31_t)0x72443460, (q31_t)0xc65178d1, (q31_t)0x72415f63, (q31_t)0xc64bdcf9,
+ (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x723bb496, (q31_t)0xc640a5b3, (q31_t)0x7238dec5, (q31_t)0xc63b0a46, (q31_t)0x723608af, (q31_t)0xc6356efc,
+ (q31_t)0x72333251, (q31_t)0xc62fd3d6, (q31_t)0x72305bae, (q31_t)0xc62a38d4, (q31_t)0x722d84c4, (q31_t)0xc6249df5, (q31_t)0x722aad93, (q31_t)0xc61f033a,
+ (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x7224fe5f, (q31_t)0xc613ce2f, (q31_t)0x7222265b, (q31_t)0xc60e33df, (q31_t)0x721f4e11, (q31_t)0xc60899b2,
+ (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x72199ca9, (q31_t)0xc5fd65c5, (q31_t)0x7216c38c, (q31_t)0xc5f7cc04, (q31_t)0x7213ea28, (q31_t)0xc5f23267,
+ (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x720e368d, (q31_t)0xc5e6ff98, (q31_t)0x720b5c57, (q31_t)0xc5e16667, (q31_t)0x720881d9, (q31_t)0xc5dbcd59,
+ (q31_t)0x7205a716, (q31_t)0xc5d6346f, (q31_t)0x7202cc0c, (q31_t)0xc5d09ba9, (q31_t)0x71fff0bc, (q31_t)0xc5cb0307, (q31_t)0x71fd1525, (q31_t)0xc5c56a89,
+ (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71f75d25, (q31_t)0xc5ba39f8, (q31_t)0x71f480bc, (q31_t)0xc5b4a1e5, (q31_t)0x71f1a40c, (q31_t)0xc5af09f7,
+ (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71ebe9da, (q31_t)0xc5a3da86, (q31_t)0x71e90c57, (q31_t)0xc59e4303, (q31_t)0x71e62e8f, (q31_t)0xc598aba5,
+ (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71e0722a, (q31_t)0xc58d7d54, (q31_t)0x71dd938f, (q31_t)0xc587e661, (q31_t)0x71dab4ad, (q31_t)0xc5824f93,
+ (q31_t)0x71d7d585, (q31_t)0xc57cb8e9, (q31_t)0x71d4f617, (q31_t)0xc5772263, (q31_t)0x71d21662, (q31_t)0xc5718c00, (q31_t)0x71cf3667, (q31_t)0xc56bf5c2,
+ (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c9759f, (q31_t)0xc560c9b3, (q31_t)0x71c694d2, (q31_t)0xc55b33e2, (q31_t)0x71c3b3bf, (q31_t)0xc5559e34,
+ (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71bdf0c5, (q31_t)0xc54a7346, (q31_t)0x71bb0edf, (q31_t)0xc544de05, (q31_t)0x71b82cb3, (q31_t)0xc53f48e9,
+ (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71b26788, (q31_t)0xc5341f1d, (q31_t)0x71af848a, (q31_t)0xc52e8a6d, (q31_t)0x71aca145, (q31_t)0xc528f5e1,
+ (q31_t)0x71a9bdba, (q31_t)0xc523617a, (q31_t)0x71a6d9e9, (q31_t)0xc51dcd37, (q31_t)0x71a3f5d2, (q31_t)0xc5183919, (q31_t)0x71a11175, (q31_t)0xc512a51f,
+ (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x719b47e9, (q31_t)0xc5077d97, (q31_t)0x719862b9, (q31_t)0xc501ea0a, (q31_t)0x71957d44, (q31_t)0xc4fc56a2,
+ (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x718fb187, (q31_t)0xc4f1303d, (q31_t)0x718ccb3f, (q31_t)0xc4eb9d42, (q31_t)0x7189e4b2, (q31_t)0xc4e60a6b,
+ (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x718416c4, (q31_t)0xc4dae52a, (q31_t)0x71812f65, (q31_t)0xc4d552c1, (q31_t)0x717e47bf, (q31_t)0xc4cfc07c,
+ (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b, (q31_t)0x717877a1, (q31_t)0xc4c49c5f, (q31_t)0x71758f29, (q31_t)0xc4bf0a87, (q31_t)0x7172a66c, (q31_t)0xc4b978d4,
+ (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x716cd41e, (q31_t)0xc4ae55dc, (q31_t)0x7169ea8f, (q31_t)0xc4a8c497, (q31_t)0x716700b9, (q31_t)0xc4a33376,
+ (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71612c3c, (q31_t)0xc49811a3, (q31_t)0x715e4194, (q31_t)0xc49280f0, (q31_t)0x715b56a7, (q31_t)0xc48cf062,
+ (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x71557ffa, (q31_t)0xc481cfb4, (q31_t)0x7152943b, (q31_t)0xc47c3f94, (q31_t)0x714fa836, (q31_t)0xc476af98,
+ (q31_t)0x714cbbeb, (q31_t)0xc4711fc2, (q31_t)0x7149cf5a, (q31_t)0xc46b9010, (q31_t)0x7146e284, (q31_t)0xc4660083, (q31_t)0x7143f567, (q31_t)0xc460711b,
+ (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x713e1a5c, (q31_t)0xc45552b8, (q31_t)0x713b2c6e, (q31_t)0xc44fc3be, (q31_t)0x71383e3a, (q31_t)0xc44a34e9,
+ (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x71326101, (q31_t)0xc43f17ad, (q31_t)0x712f71fb, (q31_t)0xc4398947, (q31_t)0x712c82b0, (q31_t)0xc433fb05,
+ (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x7126a348, (q31_t)0xc428def0, (q31_t)0x7123b32b, (q31_t)0xc423511d, (q31_t)0x7120c2c8, (q31_t)0xc41dc36f,
+ (q31_t)0x711dd220, (q31_t)0xc41835e6, (q31_t)0x711ae132, (q31_t)0xc412a882, (q31_t)0x7117effe, (q31_t)0xc40d1b42, (q31_t)0x7114fe84, (q31_t)0xc4078e28,
+ (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x710f1ac0, (q31_t)0xc3fc7462, (q31_t)0x710c2875, (q31_t)0xc3f6e7b7, (q31_t)0x710935e4, (q31_t)0xc3f15b31,
+ (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x71034ff2, (q31_t)0xc3e64294, (q31_t)0x71005c90, (q31_t)0xc3e0b67d, (q31_t)0x70fd68e9, (q31_t)0xc3db2a8b,
+ (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70f780c9, (q31_t)0xc3d01316, (q31_t)0x70f48c50, (q31_t)0xc3ca8793, (q31_t)0x70f19792, (q31_t)0xc3c4fc36,
+ (q31_t)0x70eea28e, (q31_t)0xc3bf70fd, (q31_t)0x70ebad45, (q31_t)0xc3b9e5ea, (q31_t)0x70e8b7b5, (q31_t)0xc3b45afc, (q31_t)0x70e5c1e1, (q31_t)0xc3aed034,
+ (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70dfd566, (q31_t)0xc3a3bb12, (q31_t)0x70dcdec0, (q31_t)0xc39e30b8, (q31_t)0x70d9e7d5, (q31_t)0xc398a685,
+ (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70d3f92d, (q31_t)0xc38d928d, (q31_t)0x70d10171, (q31_t)0xc38808c9, (q31_t)0x70ce096f, (q31_t)0xc3827f2a,
+ (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70c8189b, (q31_t)0xc3776c5c, (q31_t)0x70c51fc8, (q31_t)0xc371e32d, (q31_t)0x70c226b0, (q31_t)0xc36c5a24,
+ (q31_t)0x70bf2d53, (q31_t)0xc366d140, (q31_t)0x70bc33b0, (q31_t)0xc3614881, (q31_t)0x70b939c7, (q31_t)0xc35bbfe8, (q31_t)0x70b63f99, (q31_t)0xc3563774,
+ (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70b04a6b, (q31_t)0xc34b26fc, (q31_t)0x70ad4f6d, (q31_t)0xc3459ef9, (q31_t)0x70aa5428, (q31_t)0xc340171b,
+ (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x70a45ccf, (q31_t)0xc33507cf, (q31_t)0x70a160ba, (q31_t)0xc32f8061, (q31_t)0x709e6460, (q31_t)0xc329f919,
+ (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x70986adb, (q31_t)0xc31eeaf9, (q31_t)0x70956db1, (q31_t)0xc3196422, (q31_t)0x70927041, (q31_t)0xc313dd70,
+ (q31_t)0x708f728b, (q31_t)0xc30e56e4, (q31_t)0x708c7490, (q31_t)0xc308d07d, (q31_t)0x70897650, (q31_t)0xc3034a3c, (q31_t)0x708677ca, (q31_t)0xc2fdc420,
+ (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x708079ee, (q31_t)0xc2f2b85a, (q31_t)0x707d7a98, (q31_t)0xc2ed32af, (q31_t)0x707a7afd, (q31_t)0xc2e7ad2a,
+ (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x70747af6, (q31_t)0xc2dca291, (q31_t)0x70717a8a, (q31_t)0xc2d71d7e, (q31_t)0x706e79d9, (q31_t)0xc2d1988f,
+ (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x706877a7, (q31_t)0xc2c68f24, (q31_t)0x70657626, (q31_t)0xc2c10aa7, (q31_t)0x70627460, (q31_t)0xc2bb8650,
+ (q31_t)0x705f7255, (q31_t)0xc2b6021f, (q31_t)0x705c7004, (q31_t)0xc2b07e14, (q31_t)0x70596d6d, (q31_t)0xc2aafa2e, (q31_t)0x70566a92, (q31_t)0xc2a5766e,
+ (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x7050640b, (q31_t)0xc29a6f60, (q31_t)0x704d6060, (q31_t)0xc294ec12, (q31_t)0x704a5c6f, (q31_t)0xc28f68e9,
+ (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x704453be, (q31_t)0xc284630a, (q31_t)0x70414efd, (q31_t)0xc27ee054, (q31_t)0x703e49f8, (q31_t)0xc2795dc3,
+ (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x70383f1d, (q31_t)0xc26e5913, (q31_t)0x70353947, (q31_t)0xc268d6f5, (q31_t)0x7032332d, (q31_t)0xc26354fc,
+ (q31_t)0x702f2ccd, (q31_t)0xc25dd329, (q31_t)0x702c2628, (q31_t)0xc258517c, (q31_t)0x70291f3e, (q31_t)0xc252cff5, (q31_t)0x7026180e, (q31_t)0xc24d4e95,
+ (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x702008e0, (q31_t)0xc2424c46, (q31_t)0x701d00e1, (q31_t)0xc23ccb57, (q31_t)0x7019f89d, (q31_t)0xc2374a8f,
+ (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x7013e746, (q31_t)0xc22c4970, (q31_t)0x7010de32, (q31_t)0xc226c91a, (q31_t)0x700dd4da, (q31_t)0xc22148ea,
+ (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x7007c159, (q31_t)0xc21648fd, (q31_t)0x7004b731, (q31_t)0xc210c940, (q31_t)0x7001acc4, (q31_t)0xc20b49a9,
+ (q31_t)0x6ffea212, (q31_t)0xc205ca38, (q31_t)0x6ffb971b, (q31_t)0xc2004aed, (q31_t)0x6ff88bde, (q31_t)0xc1facbc9, (q31_t)0x6ff5805d, (q31_t)0xc1f54cca,
+ (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fef688b, (q31_t)0xc1ea4f41, (q31_t)0x6fec5c3b, (q31_t)0xc1e4d0b6, (q31_t)0x6fe94fa5, (q31_t)0xc1df5251,
+ (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fe335ab, (q31_t)0xc1d455f9, (q31_t)0x6fe02846, (q31_t)0xc1ced807, (q31_t)0x6fdd1a9c, (q31_t)0xc1c95a3c,
+ (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fd6fe7a, (q31_t)0xc1be5f18, (q31_t)0x6fd3f001, (q31_t)0xc1b8e1bf, (q31_t)0x6fd0e144, (q31_t)0xc1b3648d,
+ (q31_t)0x6fcdd241, (q31_t)0xc1ade781, (q31_t)0x6fcac2fa, (q31_t)0xc1a86a9c, (q31_t)0x6fc7b36d, (q31_t)0xc1a2edde, (q31_t)0x6fc4a39c, (q31_t)0xc19d7145,
+ (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fbe832a, (q31_t)0xc1927888, (q31_t)0x6fbb728a, (q31_t)0xc18cfc63, (q31_t)0x6fb861a4, (q31_t)0xc1878065,
+ (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fb23f0b, (q31_t)0xc17c88dc, (q31_t)0x6faf2d57, (q31_t)0xc1770d52, (q31_t)0x6fac1b5f, (q31_t)0xc17191ee,
+ (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6fa5f69e, (q31_t)0xc1669b99, (q31_t)0x6fa2e3d7, (q31_t)0xc16120a9, (q31_t)0x6f9fd0cb, (q31_t)0xc15ba5df,
+ (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d, (q31_t)0x6f99a9e3, (q31_t)0xc150b0c0, (q31_t)0x6f969608, (q31_t)0xc14b366b, (q31_t)0x6f9381e9, (q31_t)0xc145bc3c,
+ (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f8d58db, (q31_t)0xc13ac852, (q31_t)0x6f8a43ed, (q31_t)0xc1354e97, (q31_t)0x6f872eba, (q31_t)0xc12fd503,
+ (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f810386, (q31_t)0xc124e24f, (q31_t)0x6f7ded84, (q31_t)0xc11f692f, (q31_t)0x6f7ad73e, (q31_t)0xc119f036,
+ (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f74a9e4, (q31_t)0xc10efeb8, (q31_t)0x6f7192cf, (q31_t)0xc1098634, (q31_t)0x6f6e7b76, (q31_t)0xc1040dd6,
+ (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f, (q31_t)0x6f684bf6, (q31_t)0xc0f91d8f, (q31_t)0x6f6533ce, (q31_t)0xc0f3a5a6, (q31_t)0x6f621b62, (q31_t)0xc0ee2de3,
+ (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f5be9bc, (q31_t)0xc0e33ed4, (q31_t)0x6f58d082, (q31_t)0xc0ddc786, (q31_t)0x6f55b703, (q31_t)0xc0d8505f,
+ (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f4f8338, (q31_t)0xc0cd6287, (q31_t)0x6f4c68eb, (q31_t)0xc0c7ebd6, (q31_t)0x6f494e5a, (q31_t)0xc0c2754b,
+ (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f431869, (q31_t)0xc0b788ab, (q31_t)0x6f3ffd09, (q31_t)0xc0b21295, (q31_t)0x6f3ce165, (q31_t)0xc0ac9ca6,
+ (q31_t)0x6f39c57d, (q31_t)0xc0a726df, (q31_t)0x6f36a94f, (q31_t)0xc0a1b13e, (q31_t)0x6f338cde, (q31_t)0xc09c3bc5, (q31_t)0x6f307027, (q31_t)0xc096c673,
+ (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f2a35ed, (q31_t)0xc08bdc44, (q31_t)0x6f271868, (q31_t)0xc0866767, (q31_t)0x6f23faa0, (q31_t)0xc080f2b1,
+ (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1dbe41, (q31_t)0xc07609bb, (q31_t)0x6f1a9faa, (q31_t)0xc070957b, (q31_t)0x6f1780cf, (q31_t)0xc06b2162,
+ (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f11424c, (q31_t)0xc06039a6, (q31_t)0x6f0e22a3, (q31_t)0xc05ac603, (q31_t)0x6f0b02b6, (q31_t)0xc0555287,
+ (q31_t)0x6f07e285, (q31_t)0xc04fdf32, (q31_t)0x6f04c20f, (q31_t)0xc04a6c05, (q31_t)0x6f01a155, (q31_t)0xc044f8fe, (q31_t)0x6efe8056, (q31_t)0xc03f8620,
+ (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6ef83d8a, (q31_t)0xc034a0d8, (q31_t)0x6ef51bbe, (q31_t)0xc02f2e6f, (q31_t)0x6ef1f9ad, (q31_t)0xc029bc2e,
+ (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6eebb4bf, (q31_t)0xc01ed821, (q31_t)0x6ee891e1, (q31_t)0xc0196656, (q31_t)0x6ee56ebe, (q31_t)0xc013f4b2,
+ (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6edf27ac, (q31_t)0xc00911e1, (q31_t)0x6edc03bc, (q31_t)0xc003a0b3, (q31_t)0x6ed8df88, (q31_t)0xbffe2fad,
+ (q31_t)0x6ed5bb10, (q31_t)0xbff8bece, (q31_t)0x6ed29653, (q31_t)0xbff34e17, (q31_t)0x6ecf7152, (q31_t)0xbfeddd88, (q31_t)0x6ecc4c0d, (q31_t)0xbfe86d20,
+ (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ec600b5, (q31_t)0xbfdd8cc6, (q31_t)0x6ec2daa2, (q31_t)0xbfd81cd5, (q31_t)0x6ebfb44b, (q31_t)0xbfd2ad0b,
+ (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eb966d1, (q31_t)0xbfc7cdee, (q31_t)0x6eb63fad, (q31_t)0xbfc25e9b, (q31_t)0x6eb31845, (q31_t)0xbfbcef70,
+ (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6eacc8a8, (q31_t)0xbfb21190, (q31_t)0x6ea9a073, (q31_t)0xbfaca2dc, (q31_t)0x6ea677fa, (q31_t)0xbfa7344f,
+ (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea, (q31_t)0x6ea0263b, (q31_t)0xbf9c57ac, (q31_t)0x6e9cfcf5, (q31_t)0xbf96e997, (q31_t)0x6e99d36b, (q31_t)0xbf917ba9,
+ (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e937f8a, (q31_t)0xbf86a044, (q31_t)0x6e905534, (q31_t)0xbf8132ce, (q31_t)0x6e8d2a99, (q31_t)0xbf7bc57f,
+ (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e86d496, (q31_t)0xbf70eb59, (q31_t)0x6e83a92f, (q31_t)0xbf6b7e81, (q31_t)0x6e807d83, (q31_t)0xbf6611d2,
+ (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e7a255f, (q31_t)0xbf5b38ea, (q31_t)0x6e76f8e7, (q31_t)0xbf55ccb2, (q31_t)0x6e73cc2b, (q31_t)0xbf5060a2,
+ (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba, (q31_t)0x6e6d71e6, (q31_t)0xbf4588fa, (q31_t)0x6e6a445d, (q31_t)0xbf401d61, (q31_t)0x6e671690, (q31_t)0xbf3ab1f1,
+ (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e60ba2a, (q31_t)0xbf2fdb88, (q31_t)0x6e5d8b91, (q31_t)0xbf2a708f, (q31_t)0x6e5a5cb4, (q31_t)0xbf2505bf,
+ (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e53fe2e, (q31_t)0xbf1a3096, (q31_t)0x6e50ce84, (q31_t)0xbf14c63d, (q31_t)0x6e4d9e97, (q31_t)0xbf0f5c0d,
+ (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e473df0, (q31_t)0xbf048824, (q31_t)0x6e440d37, (q31_t)0xbeff1e6c, (q31_t)0x6e40dc39, (q31_t)0xbef9b4dc,
+ (q31_t)0x6e3daaf8, (q31_t)0xbef44b74, (q31_t)0x6e3a7972, (q31_t)0xbeeee234, (q31_t)0x6e3747a9, (q31_t)0xbee9791c, (q31_t)0x6e34159b, (q31_t)0xbee4102d,
+ (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e2db0b4, (q31_t)0xbed93ec6, (q31_t)0x6e2a7ddb, (q31_t)0xbed3d64f, (q31_t)0x6e274abe, (q31_t)0xbece6e00,
+ (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e20e3b7, (q31_t)0xbec39ddb, (q31_t)0x6e1dafce, (q31_t)0xbebe3605, (q31_t)0x6e1a7ba1, (q31_t)0xbeb8ce57,
+ (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e14127b, (q31_t)0xbeadff74, (q31_t)0x6e10dd82, (q31_t)0xbea8983f, (q31_t)0x6e0da845, (q31_t)0xbea33132,
+ (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e, (q31_t)0x6e073d00, (q31_t)0xbe986391, (q31_t)0x6e0406f8, (q31_t)0xbe92fcfe, (q31_t)0x6e00d0ac, (q31_t)0xbe8d9692,
+ (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6dfa6348, (q31_t)0xbe82ca35, (q31_t)0x6df72c30, (q31_t)0xbe7d6442, (q31_t)0x6df3f4d4, (q31_t)0xbe77fe78,
+ (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6ded8552, (q31_t)0xbe6d335e, (q31_t)0x6dea4d2b, (q31_t)0xbe67ce0d, (q31_t)0x6de714c0, (q31_t)0xbe6268e5,
+ (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6de0a31f, (q31_t)0xbe579f0f, (q31_t)0x6ddd69e9, (q31_t)0xbe523a60, (q31_t)0x6dda306f, (q31_t)0xbe4cd5da,
+ (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c, (q31_t)0x6dd3bcaf, (q31_t)0xbe420d47, (q31_t)0x6dd0826a, (q31_t)0xbe3ca93b, (q31_t)0x6dcd47e1, (q31_t)0xbe374557,
+ (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dc6d204, (q31_t)0xbe2c7e09, (q31_t)0x6dc396b0, (q31_t)0xbe271a9f, (q31_t)0x6dc05b18, (q31_t)0xbe21b75d,
+ (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db9e31d, (q31_t)0xbe16f154, (q31_t)0x6db6a6ba, (q31_t)0xbe118e8c, (q31_t)0x6db36a14, (q31_t)0xbe0c2bed,
+ (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6daceffb, (q31_t)0xbe01672a, (q31_t)0x6da9b28a, (q31_t)0xbdfc0505, (q31_t)0x6da674d5, (q31_t)0xbdf6a309,
+ (q31_t)0x6da336dc, (q31_t)0xbdf14135, (q31_t)0x6d9ff89f, (q31_t)0xbdebdf8b, (q31_t)0x6d9cba1f, (q31_t)0xbde67e09, (q31_t)0x6d997b5b, (q31_t)0xbde11cb0,
+ (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d92fd09, (q31_t)0xbdd65a78, (q31_t)0x6d8fbd7a, (q31_t)0xbdd0f999, (q31_t)0x6d8c7da8, (q31_t)0xbdcb98e3,
+ (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d85fd39, (q31_t)0xbdc0d7f2, (q31_t)0x6d82bc9d, (q31_t)0xbdbb77b7, (q31_t)0x6d7f7bbc, (q31_t)0xbdb617a4,
+ (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d78f931, (q31_t)0xbdab57fa, (q31_t)0x6d75b786, (q31_t)0xbda5f862, (q31_t)0x6d727597, (q31_t)0xbda098f3,
+ (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad, (q31_t)0x6d6bf0f0, (q31_t)0xbd95da91, (q31_t)0x6d68ae37, (q31_t)0xbd907b9d, (q31_t)0x6d656b3a, (q31_t)0xbd8b1cd2,
+ (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d5ee477, (q31_t)0xbd805fb7, (q31_t)0x6d5ba0b0, (q31_t)0xbd7b0167, (q31_t)0x6d585ca6, (q31_t)0xbd75a340,
+ (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d51d3c6, (q31_t)0xbd6ae76d, (q31_t)0x6d4e8ef2, (q31_t)0xbd6589c1, (q31_t)0x6d4b49da, (q31_t)0xbd602c3f,
+ (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d44bedf, (q31_t)0xbd5571b5, (q31_t)0x6d4178fd, (q31_t)0xbd5014ad, (q31_t)0x6d3e32d7, (q31_t)0xbd4ab7cf,
+ (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a, (q31_t)0x6d37a5c1, (q31_t)0xbd3ffe8e, (q31_t)0x6d345ed1, (q31_t)0xbd3aa22c, (q31_t)0x6d31179e, (q31_t)0xbd3545f2,
+ (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d2a886e, (q31_t)0xbd2a8dfb, (q31_t)0x6d274070, (q31_t)0xbd25323d, (q31_t)0x6d23f830, (q31_t)0xbd1fd6a8,
+ (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d1d66e4, (q31_t)0xbd151ffb, (q31_t)0x6d1a1dda, (q31_t)0xbd0fc4e2, (q31_t)0x6d16d48c, (q31_t)0xbd0a69f2,
+ (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d104126, (q31_t)0xbcffb48f, (q31_t)0x6d0cf70f, (q31_t)0xbcfa5a1b, (q31_t)0x6d09acb4, (q31_t)0xbcf4ffd1,
+ (q31_t)0x6d066215, (q31_t)0xbcefa5b0, (q31_t)0x6d031734, (q31_t)0xbcea4bb9, (q31_t)0x6cffcc0f, (q31_t)0xbce4f1eb, (q31_t)0x6cfc80a7, (q31_t)0xbcdf9846,
+ (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cf5e90d, (q31_t)0xbcd4e579, (q31_t)0x6cf29cdc, (q31_t)0xbccf8c50, (q31_t)0x6cef5067, (q31_t)0xbcca3351,
+ (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6ce8b6b4, (q31_t)0xbcbf81cf, (q31_t)0x6ce56975, (q31_t)0xbcba294d, (q31_t)0x6ce21bf4, (q31_t)0xbcb4d0f4,
+ (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cdb8027, (q31_t)0xbcaa20be, (q31_t)0x6cd831dc, (q31_t)0xbca4c8e1, (q31_t)0x6cd4e34e, (q31_t)0xbc9f712e,
+ (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5, (q31_t)0x6cce4568, (q31_t)0xbc94c245, (q31_t)0x6ccaf610, (q31_t)0xbc8f6b0f, (q31_t)0x6cc7a676, (q31_t)0xbc8a1402,
+ (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cc10677, (q31_t)0xbc7f6665, (q31_t)0x6cbdb613, (q31_t)0xbc7a0fd6, (q31_t)0x6cba656c, (q31_t)0xbc74b96f,
+ (q31_t)0x6cb71482, (q31_t)0xbc6f6333, (q31_t)0x6cb3c355, (q31_t)0xbc6a0d20, (q31_t)0x6cb071e4, (q31_t)0xbc64b737, (q31_t)0x6cad2031, (q31_t)0xbc5f6177,
+ (q31_t)0x6ca9ce3b, (q31_t)0xbc5a0be2, (q31_t)0x6ca67c01, (q31_t)0xbc54b676, (q31_t)0x6ca32985, (q31_t)0xbc4f6134, (q31_t)0x6c9fd6c6, (q31_t)0xbc4a0c1b,
+ (q31_t)0x6c9c83c3, (q31_t)0xbc44b72c, (q31_t)0x6c99307e, (q31_t)0xbc3f6267, (q31_t)0x6c95dcf6, (q31_t)0xbc3a0dcc, (q31_t)0x6c92892a, (q31_t)0xbc34b95b,
+ (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c8be0cb, (q31_t)0xbc2a10f6, (q31_t)0x6c888c36, (q31_t)0xbc24bd02, (q31_t)0x6c85375f, (q31_t)0xbc1f6938,
+ (q31_t)0x6c81e245, (q31_t)0xbc1a1598, (q31_t)0x6c7e8ce8, (q31_t)0xbc14c221, (q31_t)0x6c7b3748, (q31_t)0xbc0f6ed5, (q31_t)0x6c77e165, (q31_t)0xbc0a1bb3,
+ (q31_t)0x6c748b3f, (q31_t)0xbc04c8ba, (q31_t)0x6c7134d7, (q31_t)0xbbff75ec, (q31_t)0x6c6dde2b, (q31_t)0xbbfa2347, (q31_t)0x6c6a873d, (q31_t)0xbbf4d0cc,
+ (q31_t)0x6c67300b, (q31_t)0xbbef7e7c, (q31_t)0x6c63d897, (q31_t)0xbbea2c55, (q31_t)0x6c6080e0, (q31_t)0xbbe4da58, (q31_t)0x6c5d28e6, (q31_t)0xbbdf8885,
+ (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, (q31_t)0x6c56782a, (q31_t)0xbbd4e55e, (q31_t)0x6c531f67, (q31_t)0xbbcf940a, (q31_t)0x6c4fc662, (q31_t)0xbbca42df,
+ (q31_t)0x6c4c6d1a, (q31_t)0xbbc4f1df, (q31_t)0x6c49138f, (q31_t)0xbbbfa108, (q31_t)0x6c45b9c1, (q31_t)0xbbba505c, (q31_t)0x6c425fb1, (q31_t)0xbbb4ffda,
+ (q31_t)0x6c3f055d, (q31_t)0xbbafaf82, (q31_t)0x6c3baac7, (q31_t)0xbbaa5f54, (q31_t)0x6c384fef, (q31_t)0xbba50f50, (q31_t)0x6c34f4d3, (q31_t)0xbb9fbf77,
+ (q31_t)0x6c319975, (q31_t)0xbb9a6fc7, (q31_t)0x6c2e3dd4, (q31_t)0xbb952042, (q31_t)0x6c2ae1f0, (q31_t)0xbb8fd0e7, (q31_t)0x6c2785ca, (q31_t)0xbb8a81b6,
+ (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6c20ccb4, (q31_t)0xbb7fe3d3, (q31_t)0x6c1d6fc6, (q31_t)0xbb7a9521, (q31_t)0x6c1a1295, (q31_t)0xbb754699,
+ (q31_t)0x6c16b521, (q31_t)0xbb6ff83c, (q31_t)0x6c13576a, (q31_t)0xbb6aaa09, (q31_t)0x6c0ff971, (q31_t)0xbb655c00, (q31_t)0x6c0c9b35, (q31_t)0xbb600e21,
+ (q31_t)0x6c093cb6, (q31_t)0xbb5ac06d, (q31_t)0x6c05ddf5, (q31_t)0xbb5572e3, (q31_t)0x6c027ef1, (q31_t)0xbb502583, (q31_t)0x6bff1faa, (q31_t)0xbb4ad84e,
+ (q31_t)0x6bfbc021, (q31_t)0xbb458b43, (q31_t)0x6bf86055, (q31_t)0xbb403e63, (q31_t)0x6bf50047, (q31_t)0xbb3af1ad, (q31_t)0x6bf19ff6, (q31_t)0xbb35a521,
+ (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6beade8c, (q31_t)0xbb2b0c8a, (q31_t)0x6be77d74, (q31_t)0xbb25c07d, (q31_t)0x6be41c18, (q31_t)0xbb20749c,
+ (q31_t)0x6be0ba7b, (q31_t)0xbb1b28e4, (q31_t)0x6bdd589a, (q31_t)0xbb15dd57, (q31_t)0x6bd9f677, (q31_t)0xbb1091f5, (q31_t)0x6bd69412, (q31_t)0xbb0b46bd,
+ (q31_t)0x6bd3316a, (q31_t)0xbb05fbb0, (q31_t)0x6bcfce80, (q31_t)0xbb00b0ce, (q31_t)0x6bcc6b53, (q31_t)0xbafb6615, (q31_t)0x6bc907e3, (q31_t)0xbaf61b88,
+ (q31_t)0x6bc5a431, (q31_t)0xbaf0d125, (q31_t)0x6bc2403d, (q31_t)0xbaeb86ed, (q31_t)0x6bbedc06, (q31_t)0xbae63cdf, (q31_t)0x6bbb778d, (q31_t)0xbae0f2fc,
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+ (q31_t)0x679f95b7, (q31_t)0xb4dbdc42, (q31_t)0x679be557, (q31_t)0xb4d6c62e, (q31_t)0x679834b6, (q31_t)0xb4d1b048, (q31_t)0x679483d6, (q31_t)0xb4cc9a90,
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+ (q31_t)0x50229da1, (q31_t)0x9c303dcf, (q31_t)0x501db743, (q31_t)0x9c2c4eec, (q31_t)0x5018d0b4, (q31_t)0x9c286046, (q31_t)0x5013e9f4, (q31_t)0x9c2471de,
+ (q31_t)0x500f0302, (q31_t)0x9c2083b3, (q31_t)0x500a1bdf, (q31_t)0x9c1c95c6, (q31_t)0x5005348a, (q31_t)0x9c18a816, (q31_t)0x50004d04, (q31_t)0x9c14baa4,
+ (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ff67d64, (q31_t)0x9c0ce07a, (q31_t)0x4ff1954b, (q31_t)0x9c08f3c1, (q31_t)0x4fecacff, (q31_t)0x9c050745,
+ (q31_t)0x4fe7c483, (q31_t)0x9c011b08, (q31_t)0x4fe2dbd5, (q31_t)0x9bfd2f08, (q31_t)0x4fddf2f6, (q31_t)0x9bf94346, (q31_t)0x4fd909e5, (q31_t)0x9bf557c1,
+ (q31_t)0x4fd420a4, (q31_t)0x9bf16c7a, (q31_t)0x4fcf3731, (q31_t)0x9bed8171, (q31_t)0x4fca4d8d, (q31_t)0x9be996a6, (q31_t)0x4fc563b7, (q31_t)0x9be5ac18,
+ (q31_t)0x4fc079b1, (q31_t)0x9be1c1c8, (q31_t)0x4fbb8f79, (q31_t)0x9bddd7b6, (q31_t)0x4fb6a510, (q31_t)0x9bd9ede2, (q31_t)0x4fb1ba76, (q31_t)0x9bd6044b,
+ (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4fa7e4af, (q31_t)0x9bce31d8, (q31_t)0x4fa2f981, (q31_t)0x9bca48fa, (q31_t)0x4f9e0e22, (q31_t)0x9bc6605b,
+ (q31_t)0x4f992293, (q31_t)0x9bc277fa, (q31_t)0x4f9436d2, (q31_t)0x9bbe8fd6, (q31_t)0x4f8f4ae0, (q31_t)0x9bbaa7f0, (q31_t)0x4f8a5ebd, (q31_t)0x9bb6c048,
+ (q31_t)0x4f857269, (q31_t)0x9bb2d8de, (q31_t)0x4f8085e4, (q31_t)0x9baef1b2, (q31_t)0x4f7b992d, (q31_t)0x9bab0ac3, (q31_t)0x4f76ac46, (q31_t)0x9ba72413,
+ (q31_t)0x4f71bf2e, (q31_t)0x9ba33da0, (q31_t)0x4f6cd1e5, (q31_t)0x9b9f576b, (q31_t)0x4f67e46a, (q31_t)0x9b9b7174, (q31_t)0x4f62f6bf, (q31_t)0x9b978bbc,
+ (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f591ad6, (q31_t)0x9b8fc104, (q31_t)0x4f542c98, (q31_t)0x9b8bdc05, (q31_t)0x4f4f3e29, (q31_t)0x9b87f744,
+ (q31_t)0x4f4a4f89, (q31_t)0x9b8412c1, (q31_t)0x4f4560b8, (q31_t)0x9b802e7b, (q31_t)0x4f4071b6, (q31_t)0x9b7c4a74, (q31_t)0x4f3b8284, (q31_t)0x9b7866ab,
+ (q31_t)0x4f369320, (q31_t)0x9b748320, (q31_t)0x4f31a38c, (q31_t)0x9b709fd3, (q31_t)0x4f2cb3c7, (q31_t)0x9b6cbcc4, (q31_t)0x4f27c3d1, (q31_t)0x9b68d9f3,
+ (q31_t)0x4f22d3aa, (q31_t)0x9b64f760, (q31_t)0x4f1de352, (q31_t)0x9b61150b, (q31_t)0x4f18f2c9, (q31_t)0x9b5d32f4, (q31_t)0x4f140210, (q31_t)0x9b59511c,
+ (q31_t)0x4f0f1126, (q31_t)0x9b556f81, (q31_t)0x4f0a200b, (q31_t)0x9b518e24, (q31_t)0x4f052ec0, (q31_t)0x9b4dad06, (q31_t)0x4f003d43, (q31_t)0x9b49cc26,
+ (q31_t)0x4efb4b96, (q31_t)0x9b45eb83, (q31_t)0x4ef659b8, (q31_t)0x9b420b1f, (q31_t)0x4ef167aa, (q31_t)0x9b3e2af9, (q31_t)0x4eec756b, (q31_t)0x9b3a4b11,
+ (q31_t)0x4ee782fb, (q31_t)0x9b366b68, (q31_t)0x4ee2905a, (q31_t)0x9b328bfc, (q31_t)0x4edd9d89, (q31_t)0x9b2eaccf, (q31_t)0x4ed8aa87, (q31_t)0x9b2acde0,
+ (q31_t)0x4ed3b755, (q31_t)0x9b26ef2f, (q31_t)0x4ecec3f2, (q31_t)0x9b2310bc, (q31_t)0x4ec9d05e, (q31_t)0x9b1f3288, (q31_t)0x4ec4dc99, (q31_t)0x9b1b5492,
+ (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4ebaf47f, (q31_t)0x9b139960, (q31_t)0x4eb60029, (q31_t)0x9b0fbc24, (q31_t)0x4eb10ba2, (q31_t)0x9b0bdf27,
+ (q31_t)0x4eac16eb, (q31_t)0x9b080268, (q31_t)0x4ea72203, (q31_t)0x9b0425e8, (q31_t)0x4ea22ceb, (q31_t)0x9b0049a5, (q31_t)0x4e9d37a3, (q31_t)0x9afc6da1,
+ (q31_t)0x4e984229, (q31_t)0x9af891db, (q31_t)0x4e934c80, (q31_t)0x9af4b654, (q31_t)0x4e8e56a5, (q31_t)0x9af0db0b, (q31_t)0x4e89609b, (q31_t)0x9aed0000,
+ (q31_t)0x4e846a60, (q31_t)0x9ae92533, (q31_t)0x4e7f73f4, (q31_t)0x9ae54aa5, (q31_t)0x4e7a7d58, (q31_t)0x9ae17056, (q31_t)0x4e75868c, (q31_t)0x9add9644,
+ (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e6b9862, (q31_t)0x9ad5e2dd, (q31_t)0x4e66a105, (q31_t)0x9ad20987, (q31_t)0x4e61a977, (q31_t)0x9ace306f,
+ (q31_t)0x4e5cb1b9, (q31_t)0x9aca5795, (q31_t)0x4e57b9ca, (q31_t)0x9ac67efb, (q31_t)0x4e52c1ab, (q31_t)0x9ac2a69e, (q31_t)0x4e4dc95c, (q31_t)0x9abece80,
+ (q31_t)0x4e48d0dd, (q31_t)0x9abaf6a1, (q31_t)0x4e43d82d, (q31_t)0x9ab71eff, (q31_t)0x4e3edf4d, (q31_t)0x9ab3479d, (q31_t)0x4e39e63d, (q31_t)0x9aaf7079,
+ (q31_t)0x4e34ecfc, (q31_t)0x9aab9993, (q31_t)0x4e2ff38b, (q31_t)0x9aa7c2ec, (q31_t)0x4e2af9ea, (q31_t)0x9aa3ec83, (q31_t)0x4e260019, (q31_t)0x9aa01659,
+ (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4e1c0be6, (q31_t)0x9a986ac1, (q31_t)0x4e171184, (q31_t)0x9a949552, (q31_t)0x4e1216f2, (q31_t)0x9a90c022,
+ (q31_t)0x4e0d1c30, (q31_t)0x9a8ceb31, (q31_t)0x4e08213e, (q31_t)0x9a89167e, (q31_t)0x4e03261b, (q31_t)0x9a85420a, (q31_t)0x4dfe2ac9, (q31_t)0x9a816dd5,
+ (q31_t)0x4df92f46, (q31_t)0x9a7d99de, (q31_t)0x4df43393, (q31_t)0x9a79c625, (q31_t)0x4def37b0, (q31_t)0x9a75f2ac, (q31_t)0x4dea3b9d, (q31_t)0x9a721f71,
+ (q31_t)0x4de53f5a, (q31_t)0x9a6e4c74, (q31_t)0x4de042e7, (q31_t)0x9a6a79b6, (q31_t)0x4ddb4644, (q31_t)0x9a66a737, (q31_t)0x4dd64971, (q31_t)0x9a62d4f7,
+ (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, (q31_t)0x4dcc4f3b, (q31_t)0x9a5b3132, (q31_t)0x4dc751d8, (q31_t)0x9a575fae, (q31_t)0x4dc25445, (q31_t)0x9a538e68,
+ (q31_t)0x4dbd5682, (q31_t)0x9a4fbd61, (q31_t)0x4db8588f, (q31_t)0x9a4bec99, (q31_t)0x4db35a6c, (q31_t)0x9a481c0f, (q31_t)0x4dae5c19, (q31_t)0x9a444bc5,
+ (q31_t)0x4da95d96, (q31_t)0x9a407bb9, (q31_t)0x4da45ee3, (q31_t)0x9a3cabeb, (q31_t)0x4d9f6001, (q31_t)0x9a38dc5d, (q31_t)0x4d9a60ee, (q31_t)0x9a350d0d,
+ (q31_t)0x4d9561ac, (q31_t)0x9a313dfc, (q31_t)0x4d90623a, (q31_t)0x9a2d6f2a, (q31_t)0x4d8b6298, (q31_t)0x9a29a097, (q31_t)0x4d8662c6, (q31_t)0x9a25d243,
+ (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d7c6293, (q31_t)0x9a1e3656, (q31_t)0x4d776231, (q31_t)0x9a1a68be, (q31_t)0x4d7261a0, (q31_t)0x9a169b65,
+ (q31_t)0x4d6d60df, (q31_t)0x9a12ce4b, (q31_t)0x4d685fef, (q31_t)0x9a0f016f, (q31_t)0x4d635ece, (q31_t)0x9a0b34d3, (q31_t)0x4d5e5d7e, (q31_t)0x9a076875,
+ (q31_t)0x4d595bfe, (q31_t)0x9a039c57, (q31_t)0x4d545a4f, (q31_t)0x99ffd077, (q31_t)0x4d4f5870, (q31_t)0x99fc04d6, (q31_t)0x4d4a5661, (q31_t)0x99f83974,
+ (q31_t)0x4d455422, (q31_t)0x99f46e51, (q31_t)0x4d4051b4, (q31_t)0x99f0a36d, (q31_t)0x4d3b4f16, (q31_t)0x99ecd8c8, (q31_t)0x4d364c48, (q31_t)0x99e90e62,
+ (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4d2c461e, (q31_t)0x99e17a53, (q31_t)0x4d2742c2, (q31_t)0x99ddb0aa, (q31_t)0x4d223f36, (q31_t)0x99d9e73f,
+ (q31_t)0x4d1d3b7a, (q31_t)0x99d61e14, (q31_t)0x4d18378f, (q31_t)0x99d25528, (q31_t)0x4d133374, (q31_t)0x99ce8c7b, (q31_t)0x4d0e2f2a, (q31_t)0x99cac40d,
+ (q31_t)0x4d092ab0, (q31_t)0x99c6fbde, (q31_t)0x4d042607, (q31_t)0x99c333ee, (q31_t)0x4cff212e, (q31_t)0x99bf6c3d, (q31_t)0x4cfa1c26, (q31_t)0x99bba4cb,
+ (q31_t)0x4cf516ee, (q31_t)0x99b7dd99, (q31_t)0x4cf01187, (q31_t)0x99b416a5, (q31_t)0x4ceb0bf0, (q31_t)0x99b04ff0, (q31_t)0x4ce6062a, (q31_t)0x99ac897b,
+ (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4cdbfa0f, (q31_t)0x99a4fd4d, (q31_t)0x4cd6f3bb, (q31_t)0x99a13795, (q31_t)0x4cd1ed37, (q31_t)0x999d721c,
+ (q31_t)0x4ccce684, (q31_t)0x9999ace3, (q31_t)0x4cc7dfa1, (q31_t)0x9995e7e8, (q31_t)0x4cc2d88f, (q31_t)0x9992232d, (q31_t)0x4cbdd14e, (q31_t)0x998e5eb1,
+ (q31_t)0x4cb8c9dd, (q31_t)0x998a9a74, (q31_t)0x4cb3c23d, (q31_t)0x9986d676, (q31_t)0x4caeba6e, (q31_t)0x998312b7, (q31_t)0x4ca9b26f, (q31_t)0x997f4f38,
+ (q31_t)0x4ca4aa41, (q31_t)0x997b8bf8, (q31_t)0x4c9fa1e4, (q31_t)0x9977c8f7, (q31_t)0x4c9a9958, (q31_t)0x99740635, (q31_t)0x4c95909c, (q31_t)0x997043b2,
+ (q31_t)0x4c9087b1, (q31_t)0x996c816f, (q31_t)0x4c8b7e97, (q31_t)0x9968bf6b, (q31_t)0x4c86754e, (q31_t)0x9964fda7, (q31_t)0x4c816bd5, (q31_t)0x99613c22,
+ (q31_t)0x4c7c622d, (q31_t)0x995d7adc, (q31_t)0x4c775856, (q31_t)0x9959b9d5, (q31_t)0x4c724e50, (q31_t)0x9955f90d, (q31_t)0x4c6d441b, (q31_t)0x99523885,
+ (q31_t)0x4c6839b7, (q31_t)0x994e783d, (q31_t)0x4c632f23, (q31_t)0x994ab833, (q31_t)0x4c5e2460, (q31_t)0x9946f869, (q31_t)0x4c59196f, (q31_t)0x994338df,
+ (q31_t)0x4c540e4e, (q31_t)0x993f7993, (q31_t)0x4c4f02fe, (q31_t)0x993bba87, (q31_t)0x4c49f77f, (q31_t)0x9937fbbb, (q31_t)0x4c44ebd1, (q31_t)0x99343d2e,
+ (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4c3ad3e7, (q31_t)0x992cc0d2, (q31_t)0x4c35c7ac, (q31_t)0x99290303, (q31_t)0x4c30bb42, (q31_t)0x99254574,
+ (q31_t)0x4c2baea9, (q31_t)0x99218824, (q31_t)0x4c26a1e1, (q31_t)0x991dcb13, (q31_t)0x4c2194e9, (q31_t)0x991a0e42, (q31_t)0x4c1c87c3, (q31_t)0x991651b1,
+ (q31_t)0x4c177a6e, (q31_t)0x9912955f, (q31_t)0x4c126cea, (q31_t)0x990ed94c, (q31_t)0x4c0d5f37, (q31_t)0x990b1d79, (q31_t)0x4c085156, (q31_t)0x990761e5,
+ (q31_t)0x4c034345, (q31_t)0x9903a691, (q31_t)0x4bfe3505, (q31_t)0x98ffeb7d, (q31_t)0x4bf92697, (q31_t)0x98fc30a8, (q31_t)0x4bf417f9, (q31_t)0x98f87612,
+ (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4be9fa32, (q31_t)0x98f101a6, (q31_t)0x4be4eb08, (q31_t)0x98ed47cf, (q31_t)0x4bdfdbaf, (q31_t)0x98e98e38,
+ (q31_t)0x4bdacc28, (q31_t)0x98e5d4e0, (q31_t)0x4bd5bc72, (q31_t)0x98e21bc8, (q31_t)0x4bd0ac8d, (q31_t)0x98de62f0, (q31_t)0x4bcb9c79, (q31_t)0x98daaa57,
+ (q31_t)0x4bc68c36, (q31_t)0x98d6f1fe, (q31_t)0x4bc17bc5, (q31_t)0x98d339e4, (q31_t)0x4bbc6b25, (q31_t)0x98cf820b, (q31_t)0x4bb75a56, (q31_t)0x98cbca70,
+ (q31_t)0x4bb24958, (q31_t)0x98c81316, (q31_t)0x4bad382c, (q31_t)0x98c45bfb, (q31_t)0x4ba826d1, (q31_t)0x98c0a520, (q31_t)0x4ba31548, (q31_t)0x98bcee84,
+ (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b98f1a9, (q31_t)0x98b5820c, (q31_t)0x4b93df93, (q31_t)0x98b1cc30, (q31_t)0x4b8ecd4f, (q31_t)0x98ae1693,
+ (q31_t)0x4b89badd, (q31_t)0x98aa6136, (q31_t)0x4b84a83b, (q31_t)0x98a6ac19, (q31_t)0x4b7f956b, (q31_t)0x98a2f73c, (q31_t)0x4b7a826d, (q31_t)0x989f429e,
+ (q31_t)0x4b756f40, (q31_t)0x989b8e40, (q31_t)0x4b705be4, (q31_t)0x9897da22, (q31_t)0x4b6b485a, (q31_t)0x98942643, (q31_t)0x4b6634a2, (q31_t)0x989072a5,
+ (q31_t)0x4b6120bb, (q31_t)0x988cbf46, (q31_t)0x4b5c0ca5, (q31_t)0x98890c27, (q31_t)0x4b56f861, (q31_t)0x98855948, (q31_t)0x4b51e3ee, (q31_t)0x9881a6a9,
+ (q31_t)0x4b4ccf4d, (q31_t)0x987df449, (q31_t)0x4b47ba7e, (q31_t)0x987a422a, (q31_t)0x4b42a580, (q31_t)0x9876904a, (q31_t)0x4b3d9053, (q31_t)0x9872deaa,
+ (q31_t)0x4b387af9, (q31_t)0x986f2d4a, (q31_t)0x4b336570, (q31_t)0x986b7c2a, (q31_t)0x4b2e4fb8, (q31_t)0x9867cb4a, (q31_t)0x4b2939d2, (q31_t)0x98641aa9,
+ (q31_t)0x4b2423be, (q31_t)0x98606a49, (q31_t)0x4b1f0d7b, (q31_t)0x985cba28, (q31_t)0x4b19f70a, (q31_t)0x98590a48, (q31_t)0x4b14e06b, (q31_t)0x98555aa7,
+ (q31_t)0x4b0fc99d, (q31_t)0x9851ab46, (q31_t)0x4b0ab2a1, (q31_t)0x984dfc26, (q31_t)0x4b059b77, (q31_t)0x984a4d45, (q31_t)0x4b00841f, (q31_t)0x98469ea4,
+ (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4af654e3, (q31_t)0x983f4223, (q31_t)0x4af13d00, (q31_t)0x983b9442, (q31_t)0x4aec24ee, (q31_t)0x9837e6a1,
+ (q31_t)0x4ae70caf, (q31_t)0x98343940, (q31_t)0x4ae1f441, (q31_t)0x98308c1f, (q31_t)0x4adcdba5, (q31_t)0x982cdf3f, (q31_t)0x4ad7c2da, (q31_t)0x9829329e,
+ (q31_t)0x4ad2a9e2, (q31_t)0x9825863d, (q31_t)0x4acd90bb, (q31_t)0x9821da1d, (q31_t)0x4ac87767, (q31_t)0x981e2e3c, (q31_t)0x4ac35de4, (q31_t)0x981a829c,
+ (q31_t)0x4abe4433, (q31_t)0x9816d73b, (q31_t)0x4ab92a54, (q31_t)0x98132c1b, (q31_t)0x4ab41046, (q31_t)0x980f813b, (q31_t)0x4aaef60b, (q31_t)0x980bd69b,
+ (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4aa4c10b, (q31_t)0x9804821b, (q31_t)0x4a9fa645, (q31_t)0x9800d83c, (q31_t)0x4a9a8b52, (q31_t)0x97fd2e9c,
+ (q31_t)0x4a957030, (q31_t)0x97f9853d, (q31_t)0x4a9054e1, (q31_t)0x97f5dc1e, (q31_t)0x4a8b3963, (q31_t)0x97f2333f, (q31_t)0x4a861db8, (q31_t)0x97ee8aa0,
+ (q31_t)0x4a8101de, (q31_t)0x97eae242, (q31_t)0x4a7be5d7, (q31_t)0x97e73a23, (q31_t)0x4a76c9a2, (q31_t)0x97e39245, (q31_t)0x4a71ad3e, (q31_t)0x97dfeaa7,
+ (q31_t)0x4a6c90ad, (q31_t)0x97dc4349, (q31_t)0x4a6773ee, (q31_t)0x97d89c2c, (q31_t)0x4a625701, (q31_t)0x97d4f54f, (q31_t)0x4a5d39e6, (q31_t)0x97d14eb2,
+ (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a52ff27, (q31_t)0x97ca0239, (q31_t)0x4a4de182, (q31_t)0x97c65c5c, (q31_t)0x4a48c3b0, (q31_t)0x97c2b6c1,
+ (q31_t)0x4a43a5b0, (q31_t)0x97bf1165, (q31_t)0x4a3e8782, (q31_t)0x97bb6c4a, (q31_t)0x4a396926, (q31_t)0x97b7c76f, (q31_t)0x4a344a9d, (q31_t)0x97b422d4,
+ (q31_t)0x4a2f2be6, (q31_t)0x97b07e7a, (q31_t)0x4a2a0d01, (q31_t)0x97acda60, (q31_t)0x4a24edee, (q31_t)0x97a93687, (q31_t)0x4a1fcead, (q31_t)0x97a592ed,
+ (q31_t)0x4a1aaf3f, (q31_t)0x97a1ef94, (q31_t)0x4a158fa3, (q31_t)0x979e4c7c, (q31_t)0x4a106fda, (q31_t)0x979aa9a4, (q31_t)0x4a0b4fe2, (q31_t)0x9797070c,
+ (q31_t)0x4a062fbd, (q31_t)0x979364b5, (q31_t)0x4a010f6b, (q31_t)0x978fc29e, (q31_t)0x49fbeeea, (q31_t)0x978c20c8, (q31_t)0x49f6ce3c, (q31_t)0x97887f32,
+ (q31_t)0x49f1ad61, (q31_t)0x9784dddc, (q31_t)0x49ec8c57, (q31_t)0x97813cc7, (q31_t)0x49e76b21, (q31_t)0x977d9bf2, (q31_t)0x49e249bc, (q31_t)0x9779fb5e,
+ (q31_t)0x49dd282a, (q31_t)0x97765b0a, (q31_t)0x49d8066b, (q31_t)0x9772baf7, (q31_t)0x49d2e47e, (q31_t)0x976f1b24, (q31_t)0x49cdc263, (q31_t)0x976b7b92,
+ (q31_t)0x49c8a01b, (q31_t)0x9767dc41, (q31_t)0x49c37da5, (q31_t)0x97643d2f, (q31_t)0x49be5b02, (q31_t)0x97609e5f, (q31_t)0x49b93832, (q31_t)0x975cffcf,
+ (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x49aef208, (q31_t)0x9755c370, (q31_t)0x49a9ceaf, (q31_t)0x975225a1, (q31_t)0x49a4ab28, (q31_t)0x974e8813,
+ (q31_t)0x499f8774, (q31_t)0x974aeac6, (q31_t)0x499a6393, (q31_t)0x97474db9, (q31_t)0x49953f84, (q31_t)0x9743b0ed, (q31_t)0x49901b48, (q31_t)0x97401462,
+ (q31_t)0x498af6df, (q31_t)0x973c7817, (q31_t)0x4985d248, (q31_t)0x9738dc0d, (q31_t)0x4980ad84, (q31_t)0x97354043, (q31_t)0x497b8892, (q31_t)0x9731a4ba,
+ (q31_t)0x49766373, (q31_t)0x972e0971, (q31_t)0x49713e27, (q31_t)0x972a6e6a, (q31_t)0x496c18ae, (q31_t)0x9726d3a3, (q31_t)0x4966f307, (q31_t)0x9723391c,
+ (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x495ca732, (q31_t)0x971c04d2, (q31_t)0x49578103, (q31_t)0x97186b0d, (q31_t)0x49525aa7, (q31_t)0x9714d18a,
+ (q31_t)0x494d341e, (q31_t)0x97113847, (q31_t)0x49480d68, (q31_t)0x970d9f45, (q31_t)0x4942e684, (q31_t)0x970a0683, (q31_t)0x493dbf74, (q31_t)0x97066e03,
+ (q31_t)0x49389836, (q31_t)0x9702d5c3, (q31_t)0x493370cb, (q31_t)0x96ff3dc4, (q31_t)0x492e4933, (q31_t)0x96fba605, (q31_t)0x4929216e, (q31_t)0x96f80e88,
+ (q31_t)0x4923f97b, (q31_t)0x96f4774b, (q31_t)0x491ed15c, (q31_t)0x96f0e04f, (q31_t)0x4919a90f, (q31_t)0x96ed4994, (q31_t)0x49148095, (q31_t)0x96e9b319,
+ (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x490a2f1b, (q31_t)0x96e286e7, (q31_t)0x4905061a, (q31_t)0x96def12f, (q31_t)0x48ffdcec, (q31_t)0x96db5bb8,
+ (q31_t)0x48fab391, (q31_t)0x96d7c682, (q31_t)0x48f58a09, (q31_t)0x96d4318d, (q31_t)0x48f06054, (q31_t)0x96d09cd8, (q31_t)0x48eb3672, (q31_t)0x96cd0865,
+ (q31_t)0x48e60c62, (q31_t)0x96c97432, (q31_t)0x48e0e227, (q31_t)0x96c5e040, (q31_t)0x48dbb7be, (q31_t)0x96c24c8f, (q31_t)0x48d68d28, (q31_t)0x96beb91f,
+ (q31_t)0x48d16265, (q31_t)0x96bb25f0, (q31_t)0x48cc3775, (q31_t)0x96b79302, (q31_t)0x48c70c59, (q31_t)0x96b40055, (q31_t)0x48c1e10f, (q31_t)0x96b06de9,
+ (q31_t)0x48bcb599, (q31_t)0x96acdbbe, (q31_t)0x48b789f5, (q31_t)0x96a949d3, (q31_t)0x48b25e25, (q31_t)0x96a5b82a, (q31_t)0x48ad3228, (q31_t)0x96a226c2,
+ (q31_t)0x48a805ff, (q31_t)0x969e959b, (q31_t)0x48a2d9a8, (q31_t)0x969b04b4, (q31_t)0x489dad25, (q31_t)0x9697740f, (q31_t)0x48988074, (q31_t)0x9693e3ab,
+ (q31_t)0x48935397, (q31_t)0x96905388, (q31_t)0x488e268e, (q31_t)0x968cc3a5, (q31_t)0x4888f957, (q31_t)0x96893404, (q31_t)0x4883cbf4, (q31_t)0x9685a4a4,
+ (q31_t)0x487e9e64, (q31_t)0x96821585, (q31_t)0x487970a7, (q31_t)0x967e86a7, (q31_t)0x487442be, (q31_t)0x967af80a, (q31_t)0x486f14a8, (q31_t)0x967769af,
+ (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4864b7f5, (q31_t)0x96704dba, (q31_t)0x485f8959, (q31_t)0x966cc022, (q31_t)0x485a5a90, (q31_t)0x966932cb,
+ (q31_t)0x48552b9b, (q31_t)0x9665a5b4, (q31_t)0x484ffc79, (q31_t)0x966218df, (q31_t)0x484acd2a, (q31_t)0x965e8c4b, (q31_t)0x48459daf, (q31_t)0x965afff9,
+ (q31_t)0x48406e08, (q31_t)0x965773e7, (q31_t)0x483b3e33, (q31_t)0x9653e817, (q31_t)0x48360e32, (q31_t)0x96505c88, (q31_t)0x4830de05, (q31_t)0x964cd139,
+ (q31_t)0x482badab, (q31_t)0x9649462d, (q31_t)0x48267d24, (q31_t)0x9645bb61, (q31_t)0x48214c71, (q31_t)0x964230d7, (q31_t)0x481c1b92, (q31_t)0x963ea68d,
+ (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x4811b94d, (q31_t)0x963792bf, (q31_t)0x480c87e8, (q31_t)0x96340939, (q31_t)0x48075657, (q31_t)0x96307ff5,
+ (q31_t)0x48022499, (q31_t)0x962cf6f2, (q31_t)0x47fcf2af, (q31_t)0x96296e31, (q31_t)0x47f7c099, (q31_t)0x9625e5b0, (q31_t)0x47f28e56, (q31_t)0x96225d71,
+ (q31_t)0x47ed5be6, (q31_t)0x961ed574, (q31_t)0x47e8294a, (q31_t)0x961b4db7, (q31_t)0x47e2f682, (q31_t)0x9617c63c, (q31_t)0x47ddc38e, (q31_t)0x96143f02,
+ (q31_t)0x47d8906d, (q31_t)0x9610b80a, (q31_t)0x47d35d20, (q31_t)0x960d3153, (q31_t)0x47ce29a7, (q31_t)0x9609aadd, (q31_t)0x47c8f601, (q31_t)0x960624a9,
+ (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47be8e31, (q31_t)0x95ff1904, (q31_t)0x47b95a06, (q31_t)0x95fb9394, (q31_t)0x47b425af, (q31_t)0x95f80e65,
+ (q31_t)0x47aef12c, (q31_t)0x95f48977, (q31_t)0x47a9bc7d, (q31_t)0x95f104cb, (q31_t)0x47a487a2, (q31_t)0x95ed8061, (q31_t)0x479f529a, (q31_t)0x95e9fc38,
+ (q31_t)0x479a1d67, (q31_t)0x95e67850, (q31_t)0x4794e807, (q31_t)0x95e2f4a9, (q31_t)0x478fb27b, (q31_t)0x95df7145, (q31_t)0x478a7cc2, (q31_t)0x95dbee21,
+ (q31_t)0x478546de, (q31_t)0x95d86b3f, (q31_t)0x478010cd, (q31_t)0x95d4e89f, (q31_t)0x477ada91, (q31_t)0x95d16640, (q31_t)0x4775a428, (q31_t)0x95cde423,
+ (q31_t)0x47706d93, (q31_t)0x95ca6247, (q31_t)0x476b36d3, (q31_t)0x95c6e0ac, (q31_t)0x4765ffe6, (q31_t)0x95c35f53, (q31_t)0x4760c8cd, (q31_t)0x95bfde3c,
+ (q31_t)0x475b9188, (q31_t)0x95bc5d66, (q31_t)0x47565a17, (q31_t)0x95b8dcd2, (q31_t)0x4751227a, (q31_t)0x95b55c7f, (q31_t)0x474beab1, (q31_t)0x95b1dc6e,
+ (q31_t)0x4746b2bc, (q31_t)0x95ae5c9f, (q31_t)0x47417a9b, (q31_t)0x95aadd11, (q31_t)0x473c424e, (q31_t)0x95a75dc4, (q31_t)0x473709d5, (q31_t)0x95a3deb9,
+ (q31_t)0x4731d131, (q31_t)0x95a05ff0, (q31_t)0x472c9860, (q31_t)0x959ce169, (q31_t)0x47275f63, (q31_t)0x95996323, (q31_t)0x4722263b, (q31_t)0x9595e51e,
+ (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x4717b367, (q31_t)0x958ee9db, (q31_t)0x471279ba, (q31_t)0x958b6c9b, (q31_t)0x470d3fe3, (q31_t)0x9587ef9e,
+ (q31_t)0x470805df, (q31_t)0x958472e2, (q31_t)0x4702cbaf, (q31_t)0x9580f667, (q31_t)0x46fd9154, (q31_t)0x957d7a2f, (q31_t)0x46f856cd, (q31_t)0x9579fe38,
+ (q31_t)0x46f31c1a, (q31_t)0x95768283, (q31_t)0x46ede13b, (q31_t)0x9573070f, (q31_t)0x46e8a631, (q31_t)0x956f8bdd, (q31_t)0x46e36afb, (q31_t)0x956c10ed,
+ (q31_t)0x46de2f99, (q31_t)0x9568963f, (q31_t)0x46d8f40b, (q31_t)0x95651bd2, (q31_t)0x46d3b852, (q31_t)0x9561a1a8, (q31_t)0x46ce7c6d, (q31_t)0x955e27bf,
+ (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46c40420, (q31_t)0x955734b2, (q31_t)0x46bec7b8, (q31_t)0x9553bb8e, (q31_t)0x46b98b24, (q31_t)0x955042ac,
+ (q31_t)0x46b44e65, (q31_t)0x954cca0c, (q31_t)0x46af117a, (q31_t)0x954951ae, (q31_t)0x46a9d464, (q31_t)0x9545d992, (q31_t)0x46a49722, (q31_t)0x954261b7,
+ (q31_t)0x469f59b4, (q31_t)0x953eea1e, (q31_t)0x469a1c1b, (q31_t)0x953b72c7, (q31_t)0x4694de56, (q31_t)0x9537fbb2, (q31_t)0x468fa066, (q31_t)0x953484df,
+ (q31_t)0x468a624a, (q31_t)0x95310e4e, (q31_t)0x46852403, (q31_t)0x952d97fe, (q31_t)0x467fe590, (q31_t)0x952a21f1, (q31_t)0x467aa6f2, (q31_t)0x9526ac25,
+ (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x46702933, (q31_t)0x951fc154, (q31_t)0x466aea12, (q31_t)0x951c4c4e, (q31_t)0x4665aac6, (q31_t)0x9518d78a,
+ (q31_t)0x46606b4e, (q31_t)0x95156308, (q31_t)0x465b2bab, (q31_t)0x9511eec8, (q31_t)0x4655ebdd, (q31_t)0x950e7aca, (q31_t)0x4650abe3, (q31_t)0x950b070e,
+ (q31_t)0x464b6bbe, (q31_t)0x95079394, (q31_t)0x46462b6d, (q31_t)0x9504205c, (q31_t)0x4640eaf2, (q31_t)0x9500ad66, (q31_t)0x463baa4a, (q31_t)0x94fd3ab1,
+ (q31_t)0x46366978, (q31_t)0x94f9c83f, (q31_t)0x4631287a, (q31_t)0x94f6560f, (q31_t)0x462be751, (q31_t)0x94f2e421, (q31_t)0x4626a5fd, (q31_t)0x94ef7275,
+ (q31_t)0x4621647d, (q31_t)0x94ec010b, (q31_t)0x461c22d2, (q31_t)0x94e88fe3, (q31_t)0x4616e0fc, (q31_t)0x94e51efd, (q31_t)0x46119efa, (q31_t)0x94e1ae59,
+ (q31_t)0x460c5cce, (q31_t)0x94de3df8, (q31_t)0x46071a76, (q31_t)0x94dacdd8, (q31_t)0x4601d7f3, (q31_t)0x94d75dfa, (q31_t)0x45fc9545, (q31_t)0x94d3ee5f,
+ (q31_t)0x45f7526b, (q31_t)0x94d07f05, (q31_t)0x45f20f67, (q31_t)0x94cd0fee, (q31_t)0x45eccc37, (q31_t)0x94c9a119, (q31_t)0x45e788dc, (q31_t)0x94c63286,
+ (q31_t)0x45e24556, (q31_t)0x94c2c435, (q31_t)0x45dd01a5, (q31_t)0x94bf5627, (q31_t)0x45d7bdc9, (q31_t)0x94bbe85a, (q31_t)0x45d279c2, (q31_t)0x94b87ad0,
+ (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x45c7f132, (q31_t)0x94b1a081, (q31_t)0x45c2acaa, (q31_t)0x94ae33be, (q31_t)0x45bd67f6, (q31_t)0x94aac73c,
+ (q31_t)0x45b82318, (q31_t)0x94a75afd, (q31_t)0x45b2de0e, (q31_t)0x94a3eeff, (q31_t)0x45ad98da, (q31_t)0x94a08344, (q31_t)0x45a8537a, (q31_t)0x949d17cc,
+ (q31_t)0x45a30df0, (q31_t)0x9499ac95, (q31_t)0x459dc83b, (q31_t)0x949641a1, (q31_t)0x4598825a, (q31_t)0x9492d6ef, (q31_t)0x45933c4f, (q31_t)0x948f6c7f,
+ (q31_t)0x458df619, (q31_t)0x948c0252, (q31_t)0x4588afb8, (q31_t)0x94889867, (q31_t)0x4583692c, (q31_t)0x94852ebe, (q31_t)0x457e2275, (q31_t)0x9481c557,
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+ (q31_t)0x3f58d921, (q31_t)0x90c63a83, (q31_t)0x3f53635a, (q31_t)0x90c31e9b, (q31_t)0x3f4ded6b, (q31_t)0x90c002f7, (q31_t)0x3f487755, (q31_t)0x90bce797,
+ (q31_t)0x3f430119, (q31_t)0x90b9cc7d, (q31_t)0x3f3d8ab5, (q31_t)0x90b6b1a6, (q31_t)0x3f38142a, (q31_t)0x90b39715, (q31_t)0x3f329d79, (q31_t)0x90b07cc8,
+ (q31_t)0x3f2d26a0, (q31_t)0x90ad62c0, (q31_t)0x3f27afa1, (q31_t)0x90aa48fd, (q31_t)0x3f22387a, (q31_t)0x90a72f7e, (q31_t)0x3f1cc12c, (q31_t)0x90a41644,
+ (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3f11d21d, (q31_t)0x909de49e, (q31_t)0x3f0c5a5a, (q31_t)0x909acc32, (q31_t)0x3f06e271, (q31_t)0x9097b40a,
+ (q31_t)0x3f016a61, (q31_t)0x90949c28, (q31_t)0x3efbf22a, (q31_t)0x9091848a, (q31_t)0x3ef679cc, (q31_t)0x908e6d31, (q31_t)0x3ef10148, (q31_t)0x908b561c,
+ (q31_t)0x3eeb889c, (q31_t)0x90883f4d, (q31_t)0x3ee60fca, (q31_t)0x908528c2, (q31_t)0x3ee096d1, (q31_t)0x9082127c, (q31_t)0x3edb1db1, (q31_t)0x907efc7a,
+ (q31_t)0x3ed5a46b, (q31_t)0x907be6be, (q31_t)0x3ed02afd, (q31_t)0x9078d146, (q31_t)0x3ecab169, (q31_t)0x9075bc13, (q31_t)0x3ec537ae, (q31_t)0x9072a725,
+ (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3eba43c4, (q31_t)0x906c7e17, (q31_t)0x3eb4c995, (q31_t)0x906969f8, (q31_t)0x3eaf4f40, (q31_t)0x9066561d,
+ (q31_t)0x3ea9d4c3, (q31_t)0x90634287, (q31_t)0x3ea45a21, (q31_t)0x90602f35, (q31_t)0x3e9edf57, (q31_t)0x905d1c29, (q31_t)0x3e996467, (q31_t)0x905a0962,
+ (q31_t)0x3e93e950, (q31_t)0x9056f6df, (q31_t)0x3e8e6e12, (q31_t)0x9053e4a1, (q31_t)0x3e88f2ae, (q31_t)0x9050d2a9, (q31_t)0x3e837724, (q31_t)0x904dc0f5,
+ (q31_t)0x3e7dfb73, (q31_t)0x904aaf86, (q31_t)0x3e787f9b, (q31_t)0x90479e5c, (q31_t)0x3e73039d, (q31_t)0x90448d76, (q31_t)0x3e6d8778, (q31_t)0x90417cd6,
+ (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e628ebb, (q31_t)0x903b5c64, (q31_t)0x3e5d1222, (q31_t)0x90384c93, (q31_t)0x3e579564, (q31_t)0x90353d06,
+ (q31_t)0x3e52187f, (q31_t)0x90322dbf, (q31_t)0x3e4c9b73, (q31_t)0x902f1ebc, (q31_t)0x3e471e41, (q31_t)0x902c0fff, (q31_t)0x3e41a0e8, (q31_t)0x90290186,
+ (q31_t)0x3e3c2369, (q31_t)0x9025f352, (q31_t)0x3e36a5c4, (q31_t)0x9022e564, (q31_t)0x3e3127f9, (q31_t)0x901fd7ba, (q31_t)0x3e2baa07, (q31_t)0x901cca55,
+ (q31_t)0x3e262bee, (q31_t)0x9019bd36, (q31_t)0x3e20adaf, (q31_t)0x9016b05b, (q31_t)0x3e1b2f4a, (q31_t)0x9013a3c5, (q31_t)0x3e15b0bf, (q31_t)0x90109775,
+ (q31_t)0x3e10320d, (q31_t)0x900d8b69, (q31_t)0x3e0ab336, (q31_t)0x900a7fa3, (q31_t)0x3e053437, (q31_t)0x90077422, (q31_t)0x3dffb513, (q31_t)0x900468e5,
+ (q31_t)0x3dfa35c8, (q31_t)0x90015dee, (q31_t)0x3df4b657, (q31_t)0x8ffe533c, (q31_t)0x3def36c0, (q31_t)0x8ffb48cf, (q31_t)0x3de9b703, (q31_t)0x8ff83ea7,
+ (q31_t)0x3de4371f, (q31_t)0x8ff534c4, (q31_t)0x3ddeb716, (q31_t)0x8ff22b26, (q31_t)0x3dd936e6, (q31_t)0x8fef21ce, (q31_t)0x3dd3b690, (q31_t)0x8fec18ba,
+ (q31_t)0x3dce3614, (q31_t)0x8fe90fec, (q31_t)0x3dc8b571, (q31_t)0x8fe60763, (q31_t)0x3dc334a9, (q31_t)0x8fe2ff1f, (q31_t)0x3dbdb3ba, (q31_t)0x8fdff720,
+ (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3db2b16b, (q31_t)0x8fd9e7f2, (q31_t)0x3dad300b, (q31_t)0x8fd6e0c2, (q31_t)0x3da7ae84, (q31_t)0x8fd3d9d8,
+ (q31_t)0x3da22cd7, (q31_t)0x8fd0d333, (q31_t)0x3d9cab04, (q31_t)0x8fcdccd3, (q31_t)0x3d97290b, (q31_t)0x8fcac6b9, (q31_t)0x3d91a6ed, (q31_t)0x8fc7c0e3,
+ (q31_t)0x3d8c24a8, (q31_t)0x8fc4bb53, (q31_t)0x3d86a23d, (q31_t)0x8fc1b608, (q31_t)0x3d811fac, (q31_t)0x8fbeb103, (q31_t)0x3d7b9cf6, (q31_t)0x8fbbac42,
+ (q31_t)0x3d761a19, (q31_t)0x8fb8a7c7, (q31_t)0x3d709717, (q31_t)0x8fb5a391, (q31_t)0x3d6b13ee, (q31_t)0x8fb29fa0, (q31_t)0x3d6590a0, (q31_t)0x8faf9bf5,
+ (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d5a8992, (q31_t)0x8fa9956e, (q31_t)0x3d5505d2, (q31_t)0x8fa69293, (q31_t)0x3d4f81ec, (q31_t)0x8fa38ffc,
+ (q31_t)0x3d49fde1, (q31_t)0x8fa08dab, (q31_t)0x3d4479b0, (q31_t)0x8f9d8ba0, (q31_t)0x3d3ef559, (q31_t)0x8f9a89da, (q31_t)0x3d3970dc, (q31_t)0x8f978859,
+ (q31_t)0x3d33ec39, (q31_t)0x8f94871d, (q31_t)0x3d2e6771, (q31_t)0x8f918627, (q31_t)0x3d28e282, (q31_t)0x8f8e8576, (q31_t)0x3d235d6f, (q31_t)0x8f8b850a,
+ (q31_t)0x3d1dd835, (q31_t)0x8f8884e4, (q31_t)0x3d1852d6, (q31_t)0x8f858503, (q31_t)0x3d12cd51, (q31_t)0x8f828568, (q31_t)0x3d0d47a6, (q31_t)0x8f7f8612,
+ (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3d023be0, (q31_t)0x8f798836, (q31_t)0x3cfcb5c4, (q31_t)0x8f7689b0, (q31_t)0x3cf72f83, (q31_t)0x8f738b70,
+ (q31_t)0x3cf1a91c, (q31_t)0x8f708d75, (q31_t)0x3cec2290, (q31_t)0x8f6d8fbf, (q31_t)0x3ce69bde, (q31_t)0x8f6a924f, (q31_t)0x3ce11507, (q31_t)0x8f679525,
+ (q31_t)0x3cdb8e09, (q31_t)0x8f649840, (q31_t)0x3cd606e7, (q31_t)0x8f619ba0, (q31_t)0x3cd07f9f, (q31_t)0x8f5e9f46, (q31_t)0x3ccaf831, (q31_t)0x8f5ba331,
+ (q31_t)0x3cc5709e, (q31_t)0x8f58a761, (q31_t)0x3cbfe8e5, (q31_t)0x8f55abd8, (q31_t)0x3cba6107, (q31_t)0x8f52b093, (q31_t)0x3cb4d904, (q31_t)0x8f4fb595,
+ (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, (q31_t)0x3ca9c88c, (q31_t)0x8f49c067, (q31_t)0x3ca44018, (q31_t)0x8f46c639, (q31_t)0x3c9eb77f, (q31_t)0x8f43cc50,
+ (q31_t)0x3c992ec0, (q31_t)0x8f40d2ad, (q31_t)0x3c93a5dc, (q31_t)0x8f3dd950, (q31_t)0x3c8e1cd3, (q31_t)0x8f3ae038, (q31_t)0x3c8893a4, (q31_t)0x8f37e765,
+ (q31_t)0x3c830a50, (q31_t)0x8f34eed8, (q31_t)0x3c7d80d6, (q31_t)0x8f31f691, (q31_t)0x3c77f737, (q31_t)0x8f2efe8f, (q31_t)0x3c726d73, (q31_t)0x8f2c06d3,
+ (q31_t)0x3c6ce38a, (q31_t)0x8f290f5c, (q31_t)0x3c67597b, (q31_t)0x8f26182b, (q31_t)0x3c61cf48, (q31_t)0x8f232140, (q31_t)0x3c5c44ee, (q31_t)0x8f202a9a,
+ (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3c512fcc, (q31_t)0x8f1a3e1f, (q31_t)0x3c4ba504, (q31_t)0x8f17484b, (q31_t)0x3c461a16, (q31_t)0x8f1452bb,
+ (q31_t)0x3c408f03, (q31_t)0x8f115d72, (q31_t)0x3c3b03ca, (q31_t)0x8f0e686e, (q31_t)0x3c35786d, (q31_t)0x8f0b73b0, (q31_t)0x3c2fecea, (q31_t)0x8f087f37,
+ (q31_t)0x3c2a6142, (q31_t)0x8f058b04, (q31_t)0x3c24d575, (q31_t)0x8f029717, (q31_t)0x3c1f4983, (q31_t)0x8effa370, (q31_t)0x3c19bd6c, (q31_t)0x8efcb00e,
+ (q31_t)0x3c143130, (q31_t)0x8ef9bcf2, (q31_t)0x3c0ea4cf, (q31_t)0x8ef6ca1c, (q31_t)0x3c091849, (q31_t)0x8ef3d78b, (q31_t)0x3c038b9e, (q31_t)0x8ef0e540,
+ (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3bf871d8, (q31_t)0x8eeb017c, (q31_t)0x3bf2e4be, (q31_t)0x8ee81002, (q31_t)0x3bed577e, (q31_t)0x8ee51ece,
+ (q31_t)0x3be7ca1a, (q31_t)0x8ee22de0, (q31_t)0x3be23c91, (q31_t)0x8edf3d38, (q31_t)0x3bdcaee3, (q31_t)0x8edc4cd5, (q31_t)0x3bd72110, (q31_t)0x8ed95cb8,
+ (q31_t)0x3bd19318, (q31_t)0x8ed66ce1, (q31_t)0x3bcc04fb, (q31_t)0x8ed37d50, (q31_t)0x3bc676b9, (q31_t)0x8ed08e05, (q31_t)0x3bc0e853, (q31_t)0x8ecd9eff,
+ (q31_t)0x3bbb59c7, (q31_t)0x8ecab040, (q31_t)0x3bb5cb17, (q31_t)0x8ec7c1c6, (q31_t)0x3bb03c42, (q31_t)0x8ec4d392, (q31_t)0x3baaad48, (q31_t)0x8ec1e5a4,
+ (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b9f8ee5, (q31_t)0x8ebc0a99, (q31_t)0x3b99ff7d, (q31_t)0x8eb91d7c, (q31_t)0x3b946ff0, (q31_t)0x8eb630a6,
+ (q31_t)0x3b8ee03e, (q31_t)0x8eb34415, (q31_t)0x3b895068, (q31_t)0x8eb057ca, (q31_t)0x3b83c06c, (q31_t)0x8ead6bc5, (q31_t)0x3b7e304c, (q31_t)0x8eaa8006,
+ (q31_t)0x3b78a007, (q31_t)0x8ea7948c, (q31_t)0x3b730f9e, (q31_t)0x8ea4a959, (q31_t)0x3b6d7f10, (q31_t)0x8ea1be6c, (q31_t)0x3b67ee5d, (q31_t)0x8e9ed3c4,
+ (q31_t)0x3b625d86, (q31_t)0x8e9be963, (q31_t)0x3b5ccc8a, (q31_t)0x8e98ff47, (q31_t)0x3b573b69, (q31_t)0x8e961571, (q31_t)0x3b51aa24, (q31_t)0x8e932be2,
+ (q31_t)0x3b4c18ba, (q31_t)0x8e904298, (q31_t)0x3b46872c, (q31_t)0x8e8d5994, (q31_t)0x3b40f579, (q31_t)0x8e8a70d7, (q31_t)0x3b3b63a1, (q31_t)0x8e87885f,
+ (q31_t)0x3b35d1a5, (q31_t)0x8e84a02d, (q31_t)0x3b303f84, (q31_t)0x8e81b841, (q31_t)0x3b2aad3f, (q31_t)0x8e7ed09b, (q31_t)0x3b251ad6, (q31_t)0x8e7be93c,
+ (q31_t)0x3b1f8848, (q31_t)0x8e790222, (q31_t)0x3b19f595, (q31_t)0x8e761b4e, (q31_t)0x3b1462be, (q31_t)0x8e7334c1, (q31_t)0x3b0ecfc3, (q31_t)0x8e704e79,
+ (q31_t)0x3b093ca3, (q31_t)0x8e6d6877, (q31_t)0x3b03a95e, (q31_t)0x8e6a82bc, (q31_t)0x3afe15f6, (q31_t)0x8e679d47, (q31_t)0x3af88269, (q31_t)0x8e64b817,
+ (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3aed5ae1, (q31_t)0x8e5eee8b, (q31_t)0x3ae7c6e7, (q31_t)0x8e5c0a2e, (q31_t)0x3ae232c9, (q31_t)0x8e592617,
+ (q31_t)0x3adc9e86, (q31_t)0x8e564246, (q31_t)0x3ad70a1f, (q31_t)0x8e535ebb, (q31_t)0x3ad17593, (q31_t)0x8e507b76, (q31_t)0x3acbe0e3, (q31_t)0x8e4d9878,
+ (q31_t)0x3ac64c0f, (q31_t)0x8e4ab5bf, (q31_t)0x3ac0b717, (q31_t)0x8e47d34d, (q31_t)0x3abb21fb, (q31_t)0x8e44f121, (q31_t)0x3ab58cba, (q31_t)0x8e420f3b,
+ (q31_t)0x3aaff755, (q31_t)0x8e3f2d9b, (q31_t)0x3aaa61cc, (q31_t)0x8e3c4c41, (q31_t)0x3aa4cc1e, (q31_t)0x8e396b2e, (q31_t)0x3a9f364d, (q31_t)0x8e368a61,
+ (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a940a3e, (q31_t)0x8e30c999, (q31_t)0x3a8e7400, (q31_t)0x8e2de99e, (q31_t)0x3a88dd9d, (q31_t)0x8e2b09e9,
+ (q31_t)0x3a834717, (q31_t)0x8e282a7b, (q31_t)0x3a7db06d, (q31_t)0x8e254b53, (q31_t)0x3a78199f, (q31_t)0x8e226c71, (q31_t)0x3a7282ac, (q31_t)0x8e1f8dd6,
+ (q31_t)0x3a6ceb96, (q31_t)0x8e1caf80, (q31_t)0x3a67545b, (q31_t)0x8e19d171, (q31_t)0x3a61bcfd, (q31_t)0x8e16f3a9, (q31_t)0x3a5c257a, (q31_t)0x8e141626,
+ (q31_t)0x3a568dd4, (q31_t)0x8e1138ea, (q31_t)0x3a50f609, (q31_t)0x8e0e5bf4, (q31_t)0x3a4b5e1b, (q31_t)0x8e0b7f44, (q31_t)0x3a45c608, (q31_t)0x8e08a2db,
+ (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x3a3a9577, (q31_t)0x8e02eadb, (q31_t)0x3a34fcf9, (q31_t)0x8e000f44, (q31_t)0x3a2f6457, (q31_t)0x8dfd33f4,
+ (q31_t)0x3a29cb91, (q31_t)0x8dfa58ea, (q31_t)0x3a2432a7, (q31_t)0x8df77e27, (q31_t)0x3a1e9999, (q31_t)0x8df4a3a9, (q31_t)0x3a190068, (q31_t)0x8df1c973,
+ (q31_t)0x3a136712, (q31_t)0x8deeef82, (q31_t)0x3a0dcd99, (q31_t)0x8dec15d8, (q31_t)0x3a0833fc, (q31_t)0x8de93c74, (q31_t)0x3a029a3b, (q31_t)0x8de66357,
+ (q31_t)0x39fd0056, (q31_t)0x8de38a80, (q31_t)0x39f7664e, (q31_t)0x8de0b1ef, (q31_t)0x39f1cc21, (q31_t)0x8dddd9a5, (q31_t)0x39ec31d1, (q31_t)0x8ddb01a1,
+ (q31_t)0x39e6975e, (q31_t)0x8dd829e4, (q31_t)0x39e0fcc6, (q31_t)0x8dd5526d, (q31_t)0x39db620b, (q31_t)0x8dd27b3c, (q31_t)0x39d5c72c, (q31_t)0x8dcfa452,
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+ (q31_t)0x30590dab, (q31_t)0x897b6d4c, (q31_t)0x30533c45, (q31_t)0x89790de2, (q31_t)0x304d6ac1, (q31_t)0x8976aec1, (q31_t)0x30479920, (q31_t)0x89744fe9,
+ (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x303bf584, (q31_t)0x896f9315, (q31_t)0x30362389, (q31_t)0x896d3518, (q31_t)0x30305171, (q31_t)0x896ad765,
+ (q31_t)0x302a7f3a, (q31_t)0x896879fb, (q31_t)0x3024ace6, (q31_t)0x89661cda, (q31_t)0x301eda75, (q31_t)0x8963c002, (q31_t)0x301907e6, (q31_t)0x89616373,
+ (q31_t)0x30133539, (q31_t)0x895f072e, (q31_t)0x300d626e, (q31_t)0x895cab31, (q31_t)0x30078f86, (q31_t)0x895a4f7e, (q31_t)0x3001bc80, (q31_t)0x8957f414,
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+ (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2f24146b, (q31_t)0x88ff3669, (q31_t)0x2f1e3ced, (q31_t)0x88fce62a, (q31_t)0x2f186551, (q31_t)0x88fa9634,
+ (q31_t)0x2f128d99, (q31_t)0x88f84687, (q31_t)0x2f0cb5c3, (q31_t)0x88f5f724, (q31_t)0x2f06ddd1, (q31_t)0x88f3a80b, (q31_t)0x2f0105c1, (q31_t)0x88f1593b,
+ (q31_t)0x2efb2d95, (q31_t)0x88ef0ab4, (q31_t)0x2ef5554b, (q31_t)0x88ecbc77, (q31_t)0x2eef7ce5, (q31_t)0x88ea6e83, (q31_t)0x2ee9a461, (q31_t)0x88e820d9,
+ (q31_t)0x2ee3cbc1, (q31_t)0x88e5d378, (q31_t)0x2eddf304, (q31_t)0x88e38660, (q31_t)0x2ed81a29, (q31_t)0x88e13992, (q31_t)0x2ed24132, (q31_t)0x88deed0e,
+ (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2ec68eed, (q31_t)0x88da54e1, (q31_t)0x2ec0b5a0, (q31_t)0x88d8093a, (q31_t)0x2ebadc35, (q31_t)0x88d5bddb,
+ (q31_t)0x2eb502ae, (q31_t)0x88d372c6, (q31_t)0x2eaf290a, (q31_t)0x88d127fb, (q31_t)0x2ea94f49, (q31_t)0x88cedd79, (q31_t)0x2ea3756b, (q31_t)0x88cc9340,
+ (q31_t)0x2e9d9b70, (q31_t)0x88ca4951, (q31_t)0x2e97c159, (q31_t)0x88c7ffac, (q31_t)0x2e91e725, (q31_t)0x88c5b650, (q31_t)0x2e8c0cd4, (q31_t)0x88c36d3e,
+ (q31_t)0x2e863267, (q31_t)0x88c12475, (q31_t)0x2e8057dd, (q31_t)0x88bedbf6, (q31_t)0x2e7a7d36, (q31_t)0x88bc93c0, (q31_t)0x2e74a272, (q31_t)0x88ba4bd4,
+ (q31_t)0x2e6ec792, (q31_t)0x88b80432, (q31_t)0x2e68ec95, (q31_t)0x88b5bcd9, (q31_t)0x2e63117c, (q31_t)0x88b375ca, (q31_t)0x2e5d3646, (q31_t)0x88b12f04,
+ (q31_t)0x2e575af3, (q31_t)0x88aee888, (q31_t)0x2e517f84, (q31_t)0x88aca255, (q31_t)0x2e4ba3f8, (q31_t)0x88aa5c6c, (q31_t)0x2e45c850, (q31_t)0x88a816cd,
+ (q31_t)0x2e3fec8b, (q31_t)0x88a5d177, (q31_t)0x2e3a10aa, (q31_t)0x88a38c6b, (q31_t)0x2e3434ac, (q31_t)0x88a147a9, (q31_t)0x2e2e5891, (q31_t)0x889f0330,
+ (q31_t)0x2e287c5a, (q31_t)0x889cbf01, (q31_t)0x2e22a007, (q31_t)0x889a7b1b, (q31_t)0x2e1cc397, (q31_t)0x88983780, (q31_t)0x2e16e70b, (q31_t)0x8895f42d,
+ (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2e0b2d9d, (q31_t)0x88916e66, (q31_t)0x2e0550bb, (q31_t)0x888f2bf1, (q31_t)0x2dff73bd, (q31_t)0x888ce9c5,
+ (q31_t)0x2df996a3, (q31_t)0x888aa7e3, (q31_t)0x2df3b96c, (q31_t)0x8888664b, (q31_t)0x2deddc19, (q31_t)0x888624fd, (q31_t)0x2de7feaa, (q31_t)0x8883e3f8,
+ (q31_t)0x2de2211e, (q31_t)0x8881a33d, (q31_t)0x2ddc4376, (q31_t)0x887f62cb, (q31_t)0x2dd665b2, (q31_t)0x887d22a4, (q31_t)0x2dd087d1, (q31_t)0x887ae2c6,
+ (q31_t)0x2dcaa9d5, (q31_t)0x8878a332, (q31_t)0x2dc4cbbc, (q31_t)0x887663e7, (q31_t)0x2dbeed86, (q31_t)0x887424e7, (q31_t)0x2db90f35, (q31_t)0x8871e630,
+ (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2dad523d, (q31_t)0x886d699f, (q31_t)0x2da77397, (q31_t)0x886b2bc5, (q31_t)0x2da194d5, (q31_t)0x8868ee35,
+ (q31_t)0x2d9bb5f6, (q31_t)0x8866b0ef, (q31_t)0x2d95d6fc, (q31_t)0x886473f2, (q31_t)0x2d8ff7e5, (q31_t)0x88623740, (q31_t)0x2d8a18b3, (q31_t)0x885ffad7,
+ (q31_t)0x2d843964, (q31_t)0x885dbeb8, (q31_t)0x2d7e59f9, (q31_t)0x885b82e3, (q31_t)0x2d787a72, (q31_t)0x88594757, (q31_t)0x2d729acf, (q31_t)0x88570c16,
+ (q31_t)0x2d6cbb10, (q31_t)0x8854d11e, (q31_t)0x2d66db35, (q31_t)0x88529670, (q31_t)0x2d60fb3e, (q31_t)0x88505c0b, (q31_t)0x2d5b1b2b, (q31_t)0x884e21f1,
+ (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d4f5ab1, (q31_t)0x8849ae9a, (q31_t)0x2d497a4a, (q31_t)0x8847755d, (q31_t)0x2d4399c7, (q31_t)0x88453c6a,
+ (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d37d86d, (q31_t)0x8840cb61, (q31_t)0x2d31f797, (q31_t)0x883e934c, (q31_t)0x2d2c16a4, (q31_t)0x883c5b81,
+ (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d20546b, (q31_t)0x8837ecc7, (q31_t)0x2d1a7325, (q31_t)0x8835b5d9, (q31_t)0x2d1491c4, (q31_t)0x88337f35,
+ (q31_t)0x2d0eb046, (q31_t)0x883148db, (q31_t)0x2d08ceac, (q31_t)0x882f12cb, (q31_t)0x2d02ecf7, (q31_t)0x882cdd04, (q31_t)0x2cfd0b26, (q31_t)0x882aa788,
+ (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cf14731, (q31_t)0x88263d6d, (q31_t)0x2ceb650d, (q31_t)0x882408ce, (q31_t)0x2ce582cd, (q31_t)0x8821d47a,
+ (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cd9bdfa, (q31_t)0x881d6cae, (q31_t)0x2cd3db67, (q31_t)0x881b3937, (q31_t)0x2ccdf8b8, (q31_t)0x8819060a,
+ (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cc23308, (q31_t)0x8814a08f, (q31_t)0x2cbc5006, (q31_t)0x88126e40, (q31_t)0x2cb66ce9, (q31_t)0x88103c3b,
+ (q31_t)0x2cb089b1, (q31_t)0x880e0a7f, (q31_t)0x2caaa65c, (q31_t)0x880bd90e, (q31_t)0x2ca4c2ed, (q31_t)0x8809a7e7, (q31_t)0x2c9edf61, (q31_t)0x8807770a,
+ (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c9317f8, (q31_t)0x8803162e, (q31_t)0x2c8d341a, (q31_t)0x8800e62f, (q31_t)0x2c875021, (q31_t)0x87feb67a,
+ (q31_t)0x2c816c0c, (q31_t)0x87fc870f, (q31_t)0x2c7b87dc, (q31_t)0x87fa57ee, (q31_t)0x2c75a390, (q31_t)0x87f82917, (q31_t)0x2c6fbf29, (q31_t)0x87f5fa8b,
+ (q31_t)0x2c69daa6, (q31_t)0x87f3cc48, (q31_t)0x2c63f609, (q31_t)0x87f19e4f, (q31_t)0x2c5e114f, (q31_t)0x87ef70a0, (q31_t)0x2c582c7b, (q31_t)0x87ed433c,
+ (q31_t)0x2c52478a, (q31_t)0x87eb1621, (q31_t)0x2c4c627f, (q31_t)0x87e8e950, (q31_t)0x2c467d58, (q31_t)0x87e6bcca, (q31_t)0x2c409816, (q31_t)0x87e4908e,
+ (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c34cd40, (q31_t)0x87e038f3, (q31_t)0x2c2ee7ad, (q31_t)0x87de0d95, (q31_t)0x2c2901fd, (q31_t)0x87dbe281,
+ (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c1d364e, (q31_t)0x87d78d38, (q31_t)0x2c17504d, (q31_t)0x87d56302, (q31_t)0x2c116a31, (q31_t)0x87d33916,
+ (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2c059da7, (q31_t)0x87cee61e, (q31_t)0x2bffb73a, (q31_t)0x87ccbd11, (q31_t)0x2bf9d0b1, (q31_t)0x87ca944e,
+ (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5, (q31_t)0x2bee034e, (q31_t)0x87c643a6, (q31_t)0x2be81c74, (q31_t)0x87c41bc2, (q31_t)0x2be2357f, (q31_t)0x87c1f427,
+ (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bd66744, (q31_t)0x87bda5d1, (q31_t)0x2bd07ffe, (q31_t)0x87bb7f16, (q31_t)0x2bca989d, (q31_t)0x87b958a4,
+ (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bbec989, (q31_t)0x87b50c9f, (q31_t)0x2bb8e1d7, (q31_t)0x87b2e70c, (q31_t)0x2bb2fa0a, (q31_t)0x87b0c1c4,
+ (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2ba72a1e, (q31_t)0x87ac7811, (q31_t)0x2ba14200, (q31_t)0x87aa53a6, (q31_t)0x2b9b59c7, (q31_t)0x87a82f87,
+ (q31_t)0x2b957173, (q31_t)0x87a60bb1, (q31_t)0x2b8f8905, (q31_t)0x87a3e825, (q31_t)0x2b89a07b, (q31_t)0x87a1c4e4, (q31_t)0x2b83b7d7, (q31_t)0x879fa1ed,
+ (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, (q31_t)0x2b77e63d, (q31_t)0x879b5cde, (q31_t)0x2b71fd48, (q31_t)0x87993ac6, (q31_t)0x2b6c1438, (q31_t)0x879718f8,
+ (q31_t)0x2b662b0e, (q31_t)0x8794f774, (q31_t)0x2b6041c9, (q31_t)0x8792d63b, (q31_t)0x2b5a5868, (q31_t)0x8790b54c, (q31_t)0x2b546eee, (q31_t)0x878e94a7,
+ (q31_t)0x2b4e8558, (q31_t)0x878c744d, (q31_t)0x2b489ba8, (q31_t)0x878a543d, (q31_t)0x2b42b1dd, (q31_t)0x87883477, (q31_t)0x2b3cc7f7, (q31_t)0x878614fb,
+ (q31_t)0x2b36ddf7, (q31_t)0x8783f5ca, (q31_t)0x2b30f3dc, (q31_t)0x8781d6e3, (q31_t)0x2b2b09a6, (q31_t)0x877fb846, (q31_t)0x2b251f56, (q31_t)0x877d99f4,
+ (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2b194a66, (q31_t)0x87795e2f, (q31_t)0x2b135fc6, (q31_t)0x877740bb, (q31_t)0x2b0d750b, (q31_t)0x87752392,
+ (q31_t)0x2b078a36, (q31_t)0x877306b4, (q31_t)0x2b019f46, (q31_t)0x8770ea20, (q31_t)0x2afbb43c, (q31_t)0x876ecdd6, (q31_t)0x2af5c917, (q31_t)0x876cb1d6,
+ (q31_t)0x2aefddd8, (q31_t)0x876a9621, (q31_t)0x2ae9f27e, (q31_t)0x87687ab7, (q31_t)0x2ae4070a, (q31_t)0x87665f96, (q31_t)0x2ade1b7c, (q31_t)0x876444c1,
+ (q31_t)0x2ad82fd2, (q31_t)0x87622a35, (q31_t)0x2ad2440f, (q31_t)0x87600ff4, (q31_t)0x2acc5831, (q31_t)0x875df5fd, (q31_t)0x2ac66c39, (q31_t)0x875bdc51,
+ (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2aba93f9, (q31_t)0x8757a9d8, (q31_t)0x2ab4a7b1, (q31_t)0x8755910b, (q31_t)0x2aaebb50, (q31_t)0x87537888,
+ (q31_t)0x2aa8ced3, (q31_t)0x87516050, (q31_t)0x2aa2e23d, (q31_t)0x874f4862, (q31_t)0x2a9cf58c, (q31_t)0x874d30bf, (q31_t)0x2a9708c1, (q31_t)0x874b1966,
+ (q31_t)0x2a911bdc, (q31_t)0x87490258, (q31_t)0x2a8b2edc, (q31_t)0x8746eb94, (q31_t)0x2a8541c3, (q31_t)0x8744d51b, (q31_t)0x2a7f548e, (q31_t)0x8742beec,
+ (q31_t)0x2a796740, (q31_t)0x8740a907, (q31_t)0x2a7379d8, (q31_t)0x873e936d, (q31_t)0x2a6d8c55, (q31_t)0x873c7e1e, (q31_t)0x2a679eb8, (q31_t)0x873a6919,
+ (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a5bc330, (q31_t)0x87363fee, (q31_t)0x2a55d545, (q31_t)0x87342bc9, (q31_t)0x2a4fe740, (q31_t)0x873217ee,
+ (q31_t)0x2a49f920, (q31_t)0x8730045d, (q31_t)0x2a440ae7, (q31_t)0x872df117, (q31_t)0x2a3e1c93, (q31_t)0x872bde1c, (q31_t)0x2a382e25, (q31_t)0x8729cb6b,
+ (q31_t)0x2a323f9e, (q31_t)0x8727b905, (q31_t)0x2a2c50fc, (q31_t)0x8725a6e9, (q31_t)0x2a266240, (q31_t)0x87239518, (q31_t)0x2a20736a, (q31_t)0x87218391,
+ (q31_t)0x2a1a847b, (q31_t)0x871f7255, (q31_t)0x2a149571, (q31_t)0x871d6163, (q31_t)0x2a0ea64d, (q31_t)0x871b50bc, (q31_t)0x2a08b710, (q31_t)0x87194060,
+ (q31_t)0x2a02c7b8, (q31_t)0x8717304e, (q31_t)0x29fcd847, (q31_t)0x87152087, (q31_t)0x29f6e8bb, (q31_t)0x8713110a, (q31_t)0x29f0f916, (q31_t)0x871101d8,
+ (q31_t)0x29eb0957, (q31_t)0x870ef2f1, (q31_t)0x29e5197e, (q31_t)0x870ce454, (q31_t)0x29df298b, (q31_t)0x870ad602, (q31_t)0x29d9397f, (q31_t)0x8708c7fa,
+ (q31_t)0x29d34958, (q31_t)0x8706ba3d, (q31_t)0x29cd5918, (q31_t)0x8704acca, (q31_t)0x29c768be, (q31_t)0x87029fa3, (q31_t)0x29c1784a, (q31_t)0x870092c5,
+ (q31_t)0x29bb87bc, (q31_t)0x86fe8633, (q31_t)0x29b59715, (q31_t)0x86fc79eb, (q31_t)0x29afa654, (q31_t)0x86fa6dee, (q31_t)0x29a9b579, (q31_t)0x86f8623b,
+ (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x299dd377, (q31_t)0x86f44bb6, (q31_t)0x2997e24f, (q31_t)0x86f240e3, (q31_t)0x2991f10e, (q31_t)0x86f0365c,
+ (q31_t)0x298bffb2, (q31_t)0x86ee2c1e, (q31_t)0x29860e3e, (q31_t)0x86ec222c, (q31_t)0x29801caf, (q31_t)0x86ea1884, (q31_t)0x297a2b07, (q31_t)0x86e80f27,
+ (q31_t)0x29743946, (q31_t)0x86e60614, (q31_t)0x296e476b, (q31_t)0x86e3fd4c, (q31_t)0x29685576, (q31_t)0x86e1f4cf, (q31_t)0x29626368, (q31_t)0x86dfec9d,
+ (q31_t)0x295c7140, (q31_t)0x86dde4b5, (q31_t)0x29567eff, (q31_t)0x86dbdd18, (q31_t)0x29508ca4, (q31_t)0x86d9d5c6, (q31_t)0x294a9a30, (q31_t)0x86d7cebf,
+ (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x293eb4fb, (q31_t)0x86d3c190, (q31_t)0x2938c23a, (q31_t)0x86d1bb69, (q31_t)0x2932cf60, (q31_t)0x86cfb58c,
+ (q31_t)0x292cdc6d, (q31_t)0x86cdaffa, (q31_t)0x2926e960, (q31_t)0x86cbaab3, (q31_t)0x2920f63a, (q31_t)0x86c9a5b7, (q31_t)0x291b02fa, (q31_t)0x86c7a106,
+ (q31_t)0x29150fa1, (q31_t)0x86c59c9f, (q31_t)0x290f1c2f, (q31_t)0x86c39883, (q31_t)0x290928a3, (q31_t)0x86c194b2, (q31_t)0x290334ff, (q31_t)0x86bf912c,
+ (q31_t)0x28fd4140, (q31_t)0x86bd8df0, (q31_t)0x28f74d69, (q31_t)0x86bb8b00, (q31_t)0x28f15978, (q31_t)0x86b9885a, (q31_t)0x28eb656e, (q31_t)0x86b785ff,
+ (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x28df7d0e, (q31_t)0x86b38229, (q31_t)0x28d988b8, (q31_t)0x86b180ae, (q31_t)0x28d3944a, (q31_t)0x86af7f7e,
+ (q31_t)0x28cd9fc1, (q31_t)0x86ad7e99, (q31_t)0x28c7ab20, (q31_t)0x86ab7dff, (q31_t)0x28c1b666, (q31_t)0x86a97db0, (q31_t)0x28bbc192, (q31_t)0x86a77dab,
+ (q31_t)0x28b5cca5, (q31_t)0x86a57df2, (q31_t)0x28afd7a0, (q31_t)0x86a37e83, (q31_t)0x28a9e281, (q31_t)0x86a17f5f, (q31_t)0x28a3ed49, (q31_t)0x869f8086,
+ (q31_t)0x289df7f8, (q31_t)0x869d81f8, (q31_t)0x2898028e, (q31_t)0x869b83b4, (q31_t)0x28920d0a, (q31_t)0x869985bc, (q31_t)0x288c176e, (q31_t)0x8697880f,
+ (q31_t)0x288621b9, (q31_t)0x86958aac, (q31_t)0x28802beb, (q31_t)0x86938d94, (q31_t)0x287a3604, (q31_t)0x869190c7, (q31_t)0x28744004, (q31_t)0x868f9445,
+ (q31_t)0x286e49ea, (q31_t)0x868d980e, (q31_t)0x286853b8, (q31_t)0x868b9c22, (q31_t)0x28625d6d, (q31_t)0x8689a081, (q31_t)0x285c670a, (q31_t)0x8687a52b,
+ (q31_t)0x2856708d, (q31_t)0x8685aa20, (q31_t)0x285079f7, (q31_t)0x8683af5f, (q31_t)0x284a8349, (q31_t)0x8681b4ea, (q31_t)0x28448c81, (q31_t)0x867fbabf,
+ (q31_t)0x283e95a1, (q31_t)0x867dc0e0, (q31_t)0x28389ea8, (q31_t)0x867bc74b, (q31_t)0x2832a796, (q31_t)0x8679ce01, (q31_t)0x282cb06c, (q31_t)0x8677d503,
+ (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x2820c1cc, (q31_t)0x8673e3e6, (q31_t)0x281aca57, (q31_t)0x8671ebc8, (q31_t)0x2814d2c9, (q31_t)0x866ff3f6,
+ (q31_t)0x280edb23, (q31_t)0x866dfc6e, (q31_t)0x2808e364, (q31_t)0x866c0531, (q31_t)0x2802eb8c, (q31_t)0x866a0e3f, (q31_t)0x27fcf39c, (q31_t)0x86681798,
+ (q31_t)0x27f6fb92, (q31_t)0x8666213c, (q31_t)0x27f10371, (q31_t)0x86642b2c, (q31_t)0x27eb0b36, (q31_t)0x86623566, (q31_t)0x27e512e3, (q31_t)0x86603feb,
+ (q31_t)0x27df1a77, (q31_t)0x865e4abb, (q31_t)0x27d921f3, (q31_t)0x865c55d7, (q31_t)0x27d32956, (q31_t)0x865a613d, (q31_t)0x27cd30a1, (q31_t)0x86586cee,
+ (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27c13eec, (q31_t)0x86548532, (q31_t)0x27bb45ed, (q31_t)0x865291c4, (q31_t)0x27b54cd6, (q31_t)0x86509ea2,
+ (q31_t)0x27af53a6, (q31_t)0x864eabcb, (q31_t)0x27a95a5d, (q31_t)0x864cb93e, (q31_t)0x27a360fc, (q31_t)0x864ac6fd, (q31_t)0x279d6783, (q31_t)0x8648d507,
+ (q31_t)0x27976df1, (q31_t)0x8646e35c, (q31_t)0x27917447, (q31_t)0x8644f1fc, (q31_t)0x278b7a84, (q31_t)0x864300e7, (q31_t)0x278580a9, (q31_t)0x8641101d,
+ (q31_t)0x277f86b5, (q31_t)0x863f1f9e, (q31_t)0x27798caa, (q31_t)0x863d2f6b, (q31_t)0x27739285, (q31_t)0x863b3f82, (q31_t)0x276d9849, (q31_t)0x86394fe5,
+ (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x2761a387, (q31_t)0x8635718b, (q31_t)0x275ba901, (q31_t)0x863382cf, (q31_t)0x2755ae64, (q31_t)0x8631945e,
+ (q31_t)0x274fb3ae, (q31_t)0x862fa638, (q31_t)0x2749b8e0, (q31_t)0x862db85e, (q31_t)0x2743bdf9, (q31_t)0x862bcace, (q31_t)0x273dc2fa, (q31_t)0x8629dd8a,
+ (q31_t)0x2737c7e3, (q31_t)0x8627f091, (q31_t)0x2731ccb4, (q31_t)0x862603e3, (q31_t)0x272bd16d, (q31_t)0x86241780, (q31_t)0x2725d60e, (q31_t)0x86222b68,
+ (q31_t)0x271fda96, (q31_t)0x86203f9c, (q31_t)0x2719df06, (q31_t)0x861e541a, (q31_t)0x2713e35f, (q31_t)0x861c68e4, (q31_t)0x270de79f, (q31_t)0x861a7df9,
+ (q31_t)0x2707ebc7, (q31_t)0x86189359, (q31_t)0x2701efd7, (q31_t)0x8616a905, (q31_t)0x26fbf3ce, (q31_t)0x8614befb, (q31_t)0x26f5f7ae, (q31_t)0x8612d53d,
+ (q31_t)0x26effb76, (q31_t)0x8610ebca, (q31_t)0x26e9ff26, (q31_t)0x860f02a3, (q31_t)0x26e402bd, (q31_t)0x860d19c6, (q31_t)0x26de063d, (q31_t)0x860b3135,
+ (q31_t)0x26d809a5, (q31_t)0x860948ef, (q31_t)0x26d20cf5, (q31_t)0x860760f4, (q31_t)0x26cc102d, (q31_t)0x86057944, (q31_t)0x26c6134d, (q31_t)0x860391e0,
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+ (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x20381b63, (q31_t)0x841f0f65, (q31_t)0x203206a4, (q31_t)0x841d7aaa, (q31_t)0x202bf1d2, (q31_t)0x841be63c,
+ (q31_t)0x2025dcec, (q31_t)0x841a521a, (q31_t)0x201fc7f2, (q31_t)0x8418be45, (q31_t)0x2019b2e4, (q31_t)0x84172abc, (q31_t)0x20139dc2, (q31_t)0x84159780,
+ (q31_t)0x200d888d, (q31_t)0x84140490, (q31_t)0x20077344, (q31_t)0x841271ec, (q31_t)0x20015de7, (q31_t)0x8410df95, (q31_t)0x1ffb4876, (q31_t)0x840f4d8a,
+ (q31_t)0x1ff532f2, (q31_t)0x840dbbcc, (q31_t)0x1fef1d59, (q31_t)0x840c2a5a, (q31_t)0x1fe907ae, (q31_t)0x840a9935, (q31_t)0x1fe2f1ee, (q31_t)0x8409085c,
+ (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1fd6c634, (q31_t)0x8405e790, (q31_t)0x1fd0b03a, (q31_t)0x8404579d, (q31_t)0x1fca9a2b, (q31_t)0x8402c7f6,
+ (q31_t)0x1fc4840a, (q31_t)0x8401389b, (q31_t)0x1fbe6dd4, (q31_t)0x83ffa98d, (q31_t)0x1fb8578b, (q31_t)0x83fe1acc, (q31_t)0x1fb2412f, (q31_t)0x83fc8c57,
+ (q31_t)0x1fac2abf, (q31_t)0x83fafe2e, (q31_t)0x1fa6143b, (q31_t)0x83f97052, (q31_t)0x1f9ffda4, (q31_t)0x83f7e2c3, (q31_t)0x1f99e6fa, (q31_t)0x83f65580,
+ (q31_t)0x1f93d03c, (q31_t)0x83f4c889, (q31_t)0x1f8db96a, (q31_t)0x83f33bdf, (q31_t)0x1f87a285, (q31_t)0x83f1af82, (q31_t)0x1f818b8d, (q31_t)0x83f02371,
+ (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, (q31_t)0x1f755d61, (q31_t)0x83ed0c35, (q31_t)0x1f6f462f, (q31_t)0x83eb810a, (q31_t)0x1f692ee9, (q31_t)0x83e9f62b,
+ (q31_t)0x1f63178f, (q31_t)0x83e86b99, (q31_t)0x1f5d0022, (q31_t)0x83e6e153, (q31_t)0x1f56e8a2, (q31_t)0x83e5575a, (q31_t)0x1f50d10e, (q31_t)0x83e3cdad,
+ (q31_t)0x1f4ab968, (q31_t)0x83e2444d, (q31_t)0x1f44a1ad, (q31_t)0x83e0bb3a, (q31_t)0x1f3e89e0, (q31_t)0x83df3273, (q31_t)0x1f3871ff, (q31_t)0x83dda9f9,
+ (q31_t)0x1f325a0b, (q31_t)0x83dc21cb, (q31_t)0x1f2c4204, (q31_t)0x83da99ea, (q31_t)0x1f2629ea, (q31_t)0x83d91255, (q31_t)0x1f2011bc, (q31_t)0x83d78b0d,
+ (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1f13e127, (q31_t)0x83d47d63, (q31_t)0x1f0dc8c0, (q31_t)0x83d2f701, (q31_t)0x1f07b045, (q31_t)0x83d170eb,
+ (q31_t)0x1f0197b8, (q31_t)0x83cfeb22, (q31_t)0x1efb7f17, (q31_t)0x83ce65a6, (q31_t)0x1ef56664, (q31_t)0x83cce076, (q31_t)0x1eef4d9d, (q31_t)0x83cb5b93,
+ (q31_t)0x1ee934c3, (q31_t)0x83c9d6fc, (q31_t)0x1ee31bd6, (q31_t)0x83c852b2, (q31_t)0x1edd02d6, (q31_t)0x83c6ceb5, (q31_t)0x1ed6e9c3, (q31_t)0x83c54b04,
+ (q31_t)0x1ed0d09d, (q31_t)0x83c3c7a0, (q31_t)0x1ecab763, (q31_t)0x83c24488, (q31_t)0x1ec49e17, (q31_t)0x83c0c1be, (q31_t)0x1ebe84b8, (q31_t)0x83bf3f3f,
+ (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1eb251c1, (q31_t)0x83bc3b29, (q31_t)0x1eac3829, (q31_t)0x83bab991, (q31_t)0x1ea61e7e, (q31_t)0x83b93845,
+ (q31_t)0x1ea004c1, (q31_t)0x83b7b746, (q31_t)0x1e99eaf0, (q31_t)0x83b63694, (q31_t)0x1e93d10c, (q31_t)0x83b4b62e, (q31_t)0x1e8db716, (q31_t)0x83b33616,
+ (q31_t)0x1e879d0d, (q31_t)0x83b1b649, (q31_t)0x1e8182f1, (q31_t)0x83b036ca, (q31_t)0x1e7b68c2, (q31_t)0x83aeb797, (q31_t)0x1e754e80, (q31_t)0x83ad38b1,
+ (q31_t)0x1e6f342c, (q31_t)0x83abba17, (q31_t)0x1e6919c4, (q31_t)0x83aa3bca, (q31_t)0x1e62ff4a, (q31_t)0x83a8bdca, (q31_t)0x1e5ce4be, (q31_t)0x83a74017,
+ (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1e50af6c, (q31_t)0x83a44596, (q31_t)0x1e4a94a7, (q31_t)0x83a2c8c9, (q31_t)0x1e4479cf, (q31_t)0x83a14c48,
+ (q31_t)0x1e3e5ee5, (q31_t)0x839fd014, (q31_t)0x1e3843e8, (q31_t)0x839e542d, (q31_t)0x1e3228d9, (q31_t)0x839cd893, (q31_t)0x1e2c0db6, (q31_t)0x839b5d45,
+ (q31_t)0x1e25f282, (q31_t)0x8399e244, (q31_t)0x1e1fd73a, (q31_t)0x83986790, (q31_t)0x1e19bbe0, (q31_t)0x8396ed29, (q31_t)0x1e13a074, (q31_t)0x8395730e,
+ (q31_t)0x1e0d84f5, (q31_t)0x8393f940, (q31_t)0x1e076963, (q31_t)0x83927fbf, (q31_t)0x1e014dbf, (q31_t)0x8391068a, (q31_t)0x1dfb3208, (q31_t)0x838f8da2,
+ (q31_t)0x1df5163f, (q31_t)0x838e1507, (q31_t)0x1deefa63, (q31_t)0x838c9cb9, (q31_t)0x1de8de75, (q31_t)0x838b24b8, (q31_t)0x1de2c275, (q31_t)0x8389ad03,
+ (q31_t)0x1ddca662, (q31_t)0x8388359b, (q31_t)0x1dd68a3c, (q31_t)0x8386be80, (q31_t)0x1dd06e04, (q31_t)0x838547b2, (q31_t)0x1dca51ba, (q31_t)0x8383d130,
+ (q31_t)0x1dc4355e, (q31_t)0x83825afb, (q31_t)0x1dbe18ef, (q31_t)0x8380e513, (q31_t)0x1db7fc6d, (q31_t)0x837f6f78, (q31_t)0x1db1dfda, (q31_t)0x837dfa2a,
+ (q31_t)0x1dabc334, (q31_t)0x837c8528, (q31_t)0x1da5a67c, (q31_t)0x837b1074, (q31_t)0x1d9f89b1, (q31_t)0x83799c0c, (q31_t)0x1d996cd4, (q31_t)0x837827f0,
+ (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d8d32e4, (q31_t)0x837540a1, (q31_t)0x1d8715d0, (q31_t)0x8373cd6c, (q31_t)0x1d80f8ab, (q31_t)0x83725a84,
+ (q31_t)0x1d7adb73, (q31_t)0x8370e7e9, (q31_t)0x1d74be29, (q31_t)0x836f759b, (q31_t)0x1d6ea0cc, (q31_t)0x836e039a, (q31_t)0x1d68835e, (q31_t)0x836c91e5,
+ (q31_t)0x1d6265dd, (q31_t)0x836b207d, (q31_t)0x1d5c484b, (q31_t)0x8369af63, (q31_t)0x1d562aa6, (q31_t)0x83683e95, (q31_t)0x1d500cef, (q31_t)0x8366ce14,
+ (q31_t)0x1d49ef26, (q31_t)0x83655ddf, (q31_t)0x1d43d14b, (q31_t)0x8363edf8, (q31_t)0x1d3db35e, (q31_t)0x83627e5d, (q31_t)0x1d37955e, (q31_t)0x83610f10,
+ (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1d2b592a, (q31_t)0x835e315b, (q31_t)0x1d253af5, (q31_t)0x835cc2f4, (q31_t)0x1d1f1cae, (q31_t)0x835b54da,
+ (q31_t)0x1d18fe54, (q31_t)0x8359e70d, (q31_t)0x1d12dfe9, (q31_t)0x8358798c, (q31_t)0x1d0cc16c, (q31_t)0x83570c59, (q31_t)0x1d06a2dd, (q31_t)0x83559f72,
+ (q31_t)0x1d00843d, (q31_t)0x835432d8, (q31_t)0x1cfa658a, (q31_t)0x8352c68c, (q31_t)0x1cf446c5, (q31_t)0x83515a8c, (q31_t)0x1cee27ef, (q31_t)0x834feed9,
+ (q31_t)0x1ce80906, (q31_t)0x834e8373, (q31_t)0x1ce1ea0c, (q31_t)0x834d185a, (q31_t)0x1cdbcb00, (q31_t)0x834bad8e, (q31_t)0x1cd5abe3, (q31_t)0x834a430e,
+ (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cc96d72, (q31_t)0x83476ef6, (q31_t)0x1cc34e1f, (q31_t)0x8346055e, (q31_t)0x1cbd2eba, (q31_t)0x83449c12,
+ (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1cb0efbb, (q31_t)0x8341ca62, (q31_t)0x1caad021, (q31_t)0x834061fd, (q31_t)0x1ca4b075, (q31_t)0x833ef9e6,
+ (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c9870e9, (q31_t)0x833c2a9d, (q31_t)0x1c925109, (q31_t)0x833ac36c, (q31_t)0x1c8c3116, (q31_t)0x83395c88,
+ (q31_t)0x1c861113, (q31_t)0x8337f5f1, (q31_t)0x1c7ff0fd, (q31_t)0x83368fa7, (q31_t)0x1c79d0d6, (q31_t)0x833529aa, (q31_t)0x1c73b09d, (q31_t)0x8333c3fa,
+ (q31_t)0x1c6d9053, (q31_t)0x83325e97, (q31_t)0x1c676ff8, (q31_t)0x8330f981, (q31_t)0x1c614f8b, (q31_t)0x832f94b8, (q31_t)0x1c5b2f0c, (q31_t)0x832e303c,
+ (q31_t)0x1c550e7c, (q31_t)0x832ccc0d, (q31_t)0x1c4eedda, (q31_t)0x832b682b, (q31_t)0x1c48cd27, (q31_t)0x832a0496, (q31_t)0x1c42ac62, (q31_t)0x8328a14d,
+ (q31_t)0x1c3c8b8c, (q31_t)0x83273e52, (q31_t)0x1c366aa5, (q31_t)0x8325dba4, (q31_t)0x1c3049ac, (q31_t)0x83247943, (q31_t)0x1c2a28a2, (q31_t)0x8323172f,
+ (q31_t)0x1c240786, (q31_t)0x8321b568, (q31_t)0x1c1de659, (q31_t)0x832053ee, (q31_t)0x1c17c51b, (q31_t)0x831ef2c1, (q31_t)0x1c11a3cb, (q31_t)0x831d91e1,
+ (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1c0560f8, (q31_t)0x831ad109, (q31_t)0x1bff3f75, (q31_t)0x83197110, (q31_t)0x1bf91de0, (q31_t)0x83181164,
+ (q31_t)0x1bf2fc3a, (q31_t)0x8316b205, (q31_t)0x1becda83, (q31_t)0x831552f4, (q31_t)0x1be6b8ba, (q31_t)0x8313f42f, (q31_t)0x1be096e0, (q31_t)0x831295b7,
+ (q31_t)0x1bda74f6, (q31_t)0x8311378d, (q31_t)0x1bd452f9, (q31_t)0x830fd9af, (q31_t)0x1bce30ec, (q31_t)0x830e7c1f, (q31_t)0x1bc80ece, (q31_t)0x830d1edc,
+ (q31_t)0x1bc1ec9e, (q31_t)0x830bc1e6, (q31_t)0x1bbbca5e, (q31_t)0x830a653c, (q31_t)0x1bb5a80c, (q31_t)0x830908e0, (q31_t)0x1baf85a9, (q31_t)0x8307acd1,
+ (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1ba340b0, (q31_t)0x8304f59b, (q31_t)0x1b9d1e1a, (q31_t)0x83039a73, (q31_t)0x1b96fb73, (q31_t)0x83023f98,
+ (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b8ab5f2, (q31_t)0x82ff8acb, (q31_t)0x1b849317, (q31_t)0x82fe30d7, (q31_t)0x1b7e702c, (q31_t)0x82fcd731,
+ (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b722a23, (q31_t)0x82fa24cc, (q31_t)0x1b6c0705, (q31_t)0x82f8cc0d, (q31_t)0x1b65e3d7, (q31_t)0x82f7739c,
+ (q31_t)0x1b5fc097, (q31_t)0x82f61b77, (q31_t)0x1b599d46, (q31_t)0x82f4c3a0, (q31_t)0x1b5379e5, (q31_t)0x82f36c15, (q31_t)0x1b4d5672, (q31_t)0x82f214d8,
+ (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1b410f5b, (q31_t)0x82ef6745, (q31_t)0x1b3aebb6, (q31_t)0x82ee10ef, (q31_t)0x1b34c801, (q31_t)0x82ecbae7,
+ (q31_t)0x1b2ea43a, (q31_t)0x82eb652b, (q31_t)0x1b288063, (q31_t)0x82ea0fbd, (q31_t)0x1b225c7b, (q31_t)0x82e8ba9c, (q31_t)0x1b1c3883, (q31_t)0x82e765c8,
+ (q31_t)0x1b161479, (q31_t)0x82e61141, (q31_t)0x1b0ff05f, (q31_t)0x82e4bd07, (q31_t)0x1b09cc34, (q31_t)0x82e3691b, (q31_t)0x1b03a7f9, (q31_t)0x82e2157c,
+ (q31_t)0x1afd83ad, (q31_t)0x82e0c22a, (q31_t)0x1af75f50, (q31_t)0x82df6f25, (q31_t)0x1af13ae3, (q31_t)0x82de1c6d, (q31_t)0x1aeb1665, (q31_t)0x82dcca02,
+ (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, (q31_t)0x1adecd37, (q31_t)0x82da2615, (q31_t)0x1ad8a887, (q31_t)0x82d8d492, (q31_t)0x1ad283c7, (q31_t)0x82d7835c,
+ (q31_t)0x1acc5ef6, (q31_t)0x82d63274, (q31_t)0x1ac63a14, (q31_t)0x82d4e1d8, (q31_t)0x1ac01522, (q31_t)0x82d3918a, (q31_t)0x1ab9f020, (q31_t)0x82d24189,
+ (q31_t)0x1ab3cb0d, (q31_t)0x82d0f1d5, (q31_t)0x1aada5e9, (q31_t)0x82cfa26f, (q31_t)0x1aa780b6, (q31_t)0x82ce5356, (q31_t)0x1aa15b71, (q31_t)0x82cd048a,
+ (q31_t)0x1a9b361d, (q31_t)0x82cbb60b, (q31_t)0x1a9510b7, (q31_t)0x82ca67d9, (q31_t)0x1a8eeb42, (q31_t)0x82c919f5, (q31_t)0x1a88c5bc, (q31_t)0x82c7cc5e,
+ (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a7c7a7f, (q31_t)0x82c53217, (q31_t)0x1a7654c8, (q31_t)0x82c3e568, (q31_t)0x1a702f01, (q31_t)0x82c29906,
+ (q31_t)0x1a6a0929, (q31_t)0x82c14cf1, (q31_t)0x1a63e341, (q31_t)0x82c00129, (q31_t)0x1a5dbd49, (q31_t)0x82beb5af, (q31_t)0x1a579741, (q31_t)0x82bd6a82,
+ (q31_t)0x1a517128, (q31_t)0x82bc1fa2, (q31_t)0x1a4b4aff, (q31_t)0x82bad50f, (q31_t)0x1a4524c6, (q31_t)0x82b98aca, (q31_t)0x1a3efe7c, (q31_t)0x82b840d2,
+ (q31_t)0x1a38d823, (q31_t)0x82b6f727, (q31_t)0x1a32b1b9, (q31_t)0x82b5adca, (q31_t)0x1a2c8b3f, (q31_t)0x82b464ba, (q31_t)0x1a2664b5, (q31_t)0x82b31bf7,
+ (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x1a1a1771, (q31_t)0x82b08b59, (q31_t)0x1a13f0b6, (q31_t)0x82af437e, (q31_t)0x1a0dc9ec, (q31_t)0x82adfbf0,
+ (q31_t)0x1a07a311, (q31_t)0x82acb4b0, (q31_t)0x1a017c27, (q31_t)0x82ab6dbd, (q31_t)0x19fb552c, (q31_t)0x82aa2717, (q31_t)0x19f52e22, (q31_t)0x82a8e0bf,
+ (q31_t)0x19ef0707, (q31_t)0x82a79ab3, (q31_t)0x19e8dfdc, (q31_t)0x82a654f6, (q31_t)0x19e2b8a2, (q31_t)0x82a50f85, (q31_t)0x19dc9157, (q31_t)0x82a3ca62,
+ (q31_t)0x19d669fc, (q31_t)0x82a2858c, (q31_t)0x19d04292, (q31_t)0x82a14104, (q31_t)0x19ca1b17, (q31_t)0x829ffcc8, (q31_t)0x19c3f38d, (q31_t)0x829eb8db,
+ (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19b7a449, (q31_t)0x829c31e7, (q31_t)0x19b17c8f, (q31_t)0x829aeee1, (q31_t)0x19ab54c5, (q31_t)0x8299ac29,
+ (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x199f0502, (q31_t)0x829727a0, (q31_t)0x1998dd09, (q31_t)0x8295e5cf, (q31_t)0x1992b4ff, (q31_t)0x8294a44c,
+ (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x198664be, (q31_t)0x8292222e, (q31_t)0x19803c86, (q31_t)0x8290e194, (q31_t)0x197a143e, (q31_t)0x828fa146,
+ (q31_t)0x1973ebe6, (q31_t)0x828e6146, (q31_t)0x196dc37e, (q31_t)0x828d2193, (q31_t)0x19679b07, (q31_t)0x828be22e, (q31_t)0x19617280, (q31_t)0x828aa316,
+ (q31_t)0x195b49ea, (q31_t)0x8289644b, (q31_t)0x19552144, (q31_t)0x828825ce, (q31_t)0x194ef88e, (q31_t)0x8286e79e, (q31_t)0x1948cfc8, (q31_t)0x8285a9bb,
+ (q31_t)0x1942a6f3, (q31_t)0x82846c26, (q31_t)0x193c7e0f, (q31_t)0x82832edf, (q31_t)0x1936551b, (q31_t)0x8281f1e4, (q31_t)0x19302c17, (q31_t)0x8280b538,
+ (q31_t)0x192a0304, (q31_t)0x827f78d8, (q31_t)0x1923d9e1, (q31_t)0x827e3cc6, (q31_t)0x191db0af, (q31_t)0x827d0102, (q31_t)0x1917876d, (q31_t)0x827bc58a,
+ (q31_t)0x19115e1c, (q31_t)0x827a8a61, (q31_t)0x190b34bb, (q31_t)0x82794f84, (q31_t)0x19050b4b, (q31_t)0x827814f6, (q31_t)0x18fee1cb, (q31_t)0x8276dab4,
+ (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18f28e9e, (q31_t)0x8274671a, (q31_t)0x18ec64f0, (q31_t)0x82732dc0, (q31_t)0x18e63b33, (q31_t)0x8271f4b5,
+ (q31_t)0x18e01167, (q31_t)0x8270bbf7, (q31_t)0x18d9e78b, (q31_t)0x826f8386, (q31_t)0x18d3bda0, (q31_t)0x826e4b62, (q31_t)0x18cd93a5, (q31_t)0x826d138d,
+ (q31_t)0x18c7699b, (q31_t)0x826bdc04, (q31_t)0x18c13f82, (q31_t)0x826aa4c9, (q31_t)0x18bb155a, (q31_t)0x82696ddc, (q31_t)0x18b4eb22, (q31_t)0x8268373c,
+ (q31_t)0x18aec0db, (q31_t)0x826700e9, (q31_t)0x18a89685, (q31_t)0x8265cae4, (q31_t)0x18a26c20, (q31_t)0x8264952d, (q31_t)0x189c41ab, (q31_t)0x82635fc2,
+ (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x188fec95, (q31_t)0x8260f5d7, (q31_t)0x1889c1f3, (q31_t)0x825fc155, (q31_t)0x18839742, (q31_t)0x825e8d21,
+ (q31_t)0x187d6c82, (q31_t)0x825d593a, (q31_t)0x187741b2, (q31_t)0x825c25a1, (q31_t)0x187116d4, (q31_t)0x825af255, (q31_t)0x186aebe6, (q31_t)0x8259bf57,
+ (q31_t)0x1864c0ea, (q31_t)0x82588ca7, (q31_t)0x185e95de, (q31_t)0x82575a44, (q31_t)0x18586ac3, (q31_t)0x8256282e, (q31_t)0x18523f9a, (q31_t)0x8254f666,
+ (q31_t)0x184c1461, (q31_t)0x8253c4eb, (q31_t)0x1845e919, (q31_t)0x825293be, (q31_t)0x183fbdc3, (q31_t)0x825162df, (q31_t)0x1839925d, (q31_t)0x8250324d,
+ (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x182d3b65, (q31_t)0x824dd211, (q31_t)0x18270fd3, (q31_t)0x824ca268, (q31_t)0x1820e431, (q31_t)0x824b730c,
+ (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x18148cc2, (q31_t)0x8249153d, (q31_t)0x180e60f4, (q31_t)0x8247e6ca, (q31_t)0x18083518, (q31_t)0x8246b8a4,
+ (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17fbdd32, (q31_t)0x82445d41, (q31_t)0x17f5b129, (q31_t)0x82433004, (q31_t)0x17ef8511, (q31_t)0x82420315,
+ (q31_t)0x17e958ea, (q31_t)0x8240d673, (q31_t)0x17e32cb5, (q31_t)0x823faa1e, (q31_t)0x17dd0070, (q31_t)0x823e7e18, (q31_t)0x17d6d41d, (q31_t)0x823d525e,
+ (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17ca7b4c, (q31_t)0x823afbd5, (q31_t)0x17c44ecd, (q31_t)0x8239d104, (q31_t)0x17be223f, (q31_t)0x8238a681,
+ (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x17b1c8f8, (q31_t)0x82365264, (q31_t)0x17ab9c3e, (q31_t)0x823528ca, (q31_t)0x17a56f76, (q31_t)0x8233ff7e,
+ (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x179915ba, (q31_t)0x8231adce, (q31_t)0x1792e8c6, (q31_t)0x8230856a, (q31_t)0x178cbbc4, (q31_t)0x822f5d54,
+ (q31_t)0x17868eb3, (q31_t)0x822e358b, (q31_t)0x17806194, (q31_t)0x822d0e10, (q31_t)0x177a3466, (q31_t)0x822be6e3, (q31_t)0x17740729, (q31_t)0x822ac004,
+ (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x1767ac85, (q31_t)0x8228732d, (q31_t)0x17617f1d, (q31_t)0x82274d36, (q31_t)0x175b51a7, (q31_t)0x8226278d,
+ (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x174ef68f, (q31_t)0x8223dd24, (q31_t)0x1748c8ee, (q31_t)0x8222b863, (q31_t)0x17429b3e, (q31_t)0x822193f1,
+ (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x17363fb4, (q31_t)0x821f4bf5, (q31_t)0x173011d9, (q31_t)0x821e286b, (q31_t)0x1729e3f0, (q31_t)0x821d052f,
+ (q31_t)0x1723b5f9, (q31_t)0x821be240, (q31_t)0x171d87f3, (q31_t)0x821abfa0, (q31_t)0x171759df, (q31_t)0x82199d4d, (q31_t)0x17112bbd, (q31_t)0x82187b47,
+ (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x1704cf4f, (q31_t)0x82163826, (q31_t)0x16fea102, (q31_t)0x82151709, (q31_t)0x16f872a7, (q31_t)0x8213f63a,
+ (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16ec15c7, (q31_t)0x8211b586, (q31_t)0x16e5e741, (q31_t)0x821095a0, (q31_t)0x16dfb8ae, (q31_t)0x820f7608,
+ (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16d35b5c, (q31_t)0x820d37c1, (q31_t)0x16cd2c9f, (q31_t)0x820c1912, (q31_t)0x16c6fdd3, (q31_t)0x820afab1,
+ (q31_t)0x16c0cef9, (q31_t)0x8209dc9e, (q31_t)0x16baa011, (q31_t)0x8208bed8, (q31_t)0x16b4711b, (q31_t)0x8207a160, (q31_t)0x16ae4217, (q31_t)0x82068435,
+ (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16a1e3e5, (q31_t)0x82044ac9, (q31_t)0x169bb4b7, (q31_t)0x82032e88, (q31_t)0x1695857b, (q31_t)0x82021294,
+ (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x168926da, (q31_t)0x81ffdb96, (q31_t)0x1682f774, (q31_t)0x81fec08c, (q31_t)0x167cc801, (q31_t)0x81fda5cf,
+ (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x167068f0, (q31_t)0x81fb713f, (q31_t)0x166a3953, (q31_t)0x81fa576c, (q31_t)0x166409a8, (q31_t)0x81f93de6,
+ (q31_t)0x165dd9f0, (q31_t)0x81f824ae, (q31_t)0x1657aa29, (q31_t)0x81f70bc3, (q31_t)0x16517a55, (q31_t)0x81f5f327, (q31_t)0x164b4a73, (q31_t)0x81f4dad8,
+ (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x163eea86, (q31_t)0x81f2ab24, (q31_t)0x1638ba7a, (q31_t)0x81f193be, (q31_t)0x16328a61, (q31_t)0x81f07ca6,
+ (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16262a06, (q31_t)0x81ee4f60, (q31_t)0x161ff9c4, (q31_t)0x81ed3932, (q31_t)0x1619c975, (q31_t)0x81ec2351,
+ (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x160d68ad, (q31_t)0x81e9f879, (q31_t)0x16073834, (q31_t)0x81e8e381, (q31_t)0x160107ae, (q31_t)0x81e7ced8,
+ (q31_t)0x15fad71b, (q31_t)0x81e6ba7c, (q31_t)0x15f4a679, (q31_t)0x81e5a66e, (q31_t)0x15ee75cb, (q31_t)0x81e492ad, (q31_t)0x15e8450e, (q31_t)0x81e37f3b,
+ (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15dbe36d, (q31_t)0x81e1593f, (q31_t)0x15d5b288, (q31_t)0x81e046b6, (q31_t)0x15cf8196, (q31_t)0x81df347b,
+ (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15c31f89, (q31_t)0x81dd10ee, (q31_t)0x15bcee6f, (q31_t)0x81dbff9c, (q31_t)0x15b6bd47, (q31_t)0x81daee98,
+ (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x15aa5acf, (q31_t)0x81d8cd79, (q31_t)0x15a4297f, (q31_t)0x81d7bd5e, (q31_t)0x159df821, (q31_t)0x81d6ad92,
+ (q31_t)0x1597c6b7, (q31_t)0x81d59e13, (q31_t)0x1591953e, (q31_t)0x81d48ee1, (q31_t)0x158b63b9, (q31_t)0x81d37ffe, (q31_t)0x15853226, (q31_t)0x81d27169,
+ (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x1578ced9, (q31_t)0x81d05527, (q31_t)0x15729d1f, (q31_t)0x81cf477b, (q31_t)0x156c6b57, (q31_t)0x81ce3a1d,
+ (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x156007a0, (q31_t)0x81cc204a, (q31_t)0x1559d5b1, (q31_t)0x81cb13d5, (q31_t)0x1553a3b4, (q31_t)0x81ca07af,
+ (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x15473f94, (q31_t)0x81c7f04b, (q31_t)0x15410d70, (q31_t)0x81c6e50d, (q31_t)0x153adb3f, (q31_t)0x81c5da1e,
+ (q31_t)0x1534a901, (q31_t)0x81c4cf7d, (q31_t)0x152e76b5, (q31_t)0x81c3c529, (q31_t)0x1528445d, (q31_t)0x81c2bb23, (q31_t)0x152211f8, (q31_t)0x81c1b16b,
+ (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1515ad06, (q31_t)0x81bf9ee5, (q31_t)0x150f7a7a, (q31_t)0x81be9617, (q31_t)0x150947e1, (q31_t)0x81bd8d97,
+ (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14fce287, (q31_t)0x81bb7d7f, (q31_t)0x14f6afc7, (q31_t)0x81ba75e9, (q31_t)0x14f07cf9, (q31_t)0x81b96ea0,
+ (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14e41738, (q31_t)0x81b760f8, (q31_t)0x14dde445, (q31_t)0x81b65a99, (q31_t)0x14d7b144, (q31_t)0x81b55488,
+ (q31_t)0x14d17e36, (q31_t)0x81b44ec4, (q31_t)0x14cb4b1c, (q31_t)0x81b3494f, (q31_t)0x14c517f4, (q31_t)0x81b24427, (q31_t)0x14bee4c0, (q31_t)0x81b13f4e,
+ (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x14b27e32, (q31_t)0x81af3684, (q31_t)0x14ac4ad7, (q31_t)0x81ae3294, (q31_t)0x14a61770, (q31_t)0x81ad2ef2,
+ (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x1499b07c, (q31_t)0x81ab2898, (q31_t)0x14937cee, (q31_t)0x81aa25e0, (q31_t)0x148d4954, (q31_t)0x81a92376,
+ (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x1480e1fa, (q31_t)0x81a71f8b, (q31_t)0x147aae3a, (q31_t)0x81a61e0b, (q31_t)0x14747a6d, (q31_t)0x81a51cd8,
+ (q31_t)0x146e4694, (q31_t)0x81a41bf4, (q31_t)0x146812ae, (q31_t)0x81a31b5d, (q31_t)0x1461debc, (q31_t)0x81a21b14, (q31_t)0x145baabd, (q31_t)0x81a11b1a,
+ (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x144f4299, (q31_t)0x819f1c0e, (q31_t)0x14490e74, (q31_t)0x819e1cfd, (q31_t)0x1442da43, (q31_t)0x819d1e3a,
+ (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x143671bb, (q31_t)0x819b219e, (q31_t)0x14303d65, (q31_t)0x819a23c5, (q31_t)0x142a0902, (q31_t)0x8199263a,
+ (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x141da016, (q31_t)0x81972c0e, (q31_t)0x14176b8e, (q31_t)0x81962f6d, (q31_t)0x141136f9, (q31_t)0x8195331a,
+ (q31_t)0x140b0258, (q31_t)0x81943715, (q31_t)0x1404cdaa, (q31_t)0x81933b5e, (q31_t)0x13fe98f1, (q31_t)0x81923ff4, (q31_t)0x13f8642a, (q31_t)0x819144d9,
+ (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13ebfa79, (q31_t)0x818f4f8d, (q31_t)0x13e5c58e, (q31_t)0x818e555c, (q31_t)0x13df9097, (q31_t)0x818d5b78,
+ (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13d32683, (q31_t)0x818b689c, (q31_t)0x13ccf167, (q31_t)0x818a6fa3, (q31_t)0x13c6bc3f, (q31_t)0x818976f8,
+ (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13ba51ca, (q31_t)0x8187868b, (q31_t)0x13b41c7d, (q31_t)0x81868eca, (q31_t)0x13ade724, (q31_t)0x81859757,
+ (q31_t)0x13a7b1bf, (q31_t)0x8184a032, (q31_t)0x13a17c4d, (q31_t)0x8183a95b, (q31_t)0x139b46d0, (q31_t)0x8182b2d1, (q31_t)0x13951146, (q31_t)0x8181bc96,
+ (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x1388a60f, (q31_t)0x817fd10a, (q31_t)0x13827062, (q31_t)0x817edbb9, (q31_t)0x137c3aa8, (q31_t)0x817de6b6,
+ (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x136fcf10, (q31_t)0x817bfd9b, (q31_t)0x13699933, (q31_t)0x817b0982, (q31_t)0x13636349, (q31_t)0x817a15b7,
+ (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x1356f752, (q31_t)0x81782f0b, (q31_t)0x1350c144, (q31_t)0x81773c2b, (q31_t)0x134a8b2b, (q31_t)0x81764998,
+ (q31_t)0x13445505, (q31_t)0x81755754, (q31_t)0x133e1ed4, (q31_t)0x8174655d, (q31_t)0x1337e897, (q31_t)0x817373b5, (q31_t)0x1331b24e, (q31_t)0x8172825a,
+ (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x13254599, (q31_t)0x8170a090, (q31_t)0x131f0f2c, (q31_t)0x816fb020, (q31_t)0x1318d8b4, (q31_t)0x816ebffe,
+ (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x130c6ba0, (q31_t)0x816ce0a4, (q31_t)0x13063505, (q31_t)0x816bf16c, (q31_t)0x12fffe5d, (q31_t)0x816b0282,
+ (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12f390ec, (q31_t)0x81692599, (q31_t)0x12ed5a21, (q31_t)0x81683799, (q31_t)0x12e7234b, (q31_t)0x816749e8,
+ (q31_t)0x12e0ec6a, (q31_t)0x81665c84, (q31_t)0x12dab57c, (q31_t)0x81656f6f, (q31_t)0x12d47e83, (q31_t)0x816482a8, (q31_t)0x12ce477f, (q31_t)0x8163962f,
+ (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12c1d953, (q31_t)0x8161be27, (q31_t)0x12bba22b, (q31_t)0x8160d298, (q31_t)0x12b56af9, (q31_t)0x815fe758,
+ (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x12a8fc70, (q31_t)0x815e11c1, (q31_t)0x12a2c51b, (q31_t)0x815d276a, (q31_t)0x129c8dba, (q31_t)0x815c3d62,
+ (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x12901ed5, (q31_t)0x815a6a3c, (q31_t)0x1289e752, (q31_t)0x8159811e, (q31_t)0x1283afc3, (q31_t)0x8158984e,
+ (q31_t)0x127d7829, (q31_t)0x8157afcd, (q31_t)0x12774083, (q31_t)0x8156c799, (q31_t)0x127108d2, (q31_t)0x8155dfb4, (q31_t)0x126ad116, (q31_t)0x8154f81d,
+ (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x125e617b, (q31_t)0x815329d9, (q31_t)0x1258299c, (q31_t)0x8152432c, (q31_t)0x1251f1b3, (q31_t)0x81515ccd,
+ (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x124581bd, (q31_t)0x814f90fb, (q31_t)0x123f49b2, (q31_t)0x814eab86, (q31_t)0x1239119b, (q31_t)0x814dc660,
+ (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x122ca14b, (q31_t)0x814bfcff, (q31_t)0x12266913, (q31_t)0x814b18c3, (q31_t)0x122030cf, (q31_t)0x814a34d6,
+ (q31_t)0x1219f880, (q31_t)0x81495136, (q31_t)0x1213c026, (q31_t)0x81486de5, (q31_t)0x120d87c1, (q31_t)0x81478ae2, (q31_t)0x12074f50, (q31_t)0x8146a82e,
+ (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11fade4e, (q31_t)0x8144e3ae, (q31_t)0x11f4a5bd, (q31_t)0x814401e4, (q31_t)0x11ee6d20, (q31_t)0x81432068,
+ (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11e1fbc5, (q31_t)0x81415e5a, (q31_t)0x11dbc307, (q31_t)0x81407dc9, (q31_t)0x11d58a3e, (q31_t)0x813f9d86,
+ (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11c9188b, (q31_t)0x813ddde9, (q31_t)0x11c2dfa2, (q31_t)0x813cfe91, (q31_t)0x11bca6ad, (q31_t)0x813c1f86,
+ (q31_t)0x11b66dad, (q31_t)0x813b40ca, (q31_t)0x11b034a2, (q31_t)0x813a625b, (q31_t)0x11a9fb8d, (q31_t)0x8139843b, (q31_t)0x11a3c26c, (q31_t)0x8138a66a,
+ (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1197500a, (q31_t)0x8136ebb1, (q31_t)0x119116c9, (q31_t)0x81360ec9, (q31_t)0x118add7d, (q31_t)0x81353230,
+ (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x117e6ac5, (q31_t)0x813379e9, (q31_t)0x11783159, (q31_t)0x81329e3b, (q31_t)0x1171f7e2, (q31_t)0x8131c2db,
+ (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x116584d3, (q31_t)0x81300d05, (q31_t)0x115f4b3c, (q31_t)0x812f3290, (q31_t)0x1159119a, (q31_t)0x812e5868,
+ (q31_t)0x1152d7ed, (q31_t)0x812d7e8f, (q31_t)0x114c9e35, (q31_t)0x812ca505, (q31_t)0x11466473, (q31_t)0x812bcbc8, (q31_t)0x11402aa6, (q31_t)0x812af2da,
+ (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x1133b6ed, (q31_t)0x812941e8, (q31_t)0x112d7d00, (q31_t)0x812869e4, (q31_t)0x11274309, (q31_t)0x8127922f,
+ (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x111acefb, (q31_t)0x8125e3af, (q31_t)0x111494e4, (q31_t)0x81250ce4, (q31_t)0x110e5ac2, (q31_t)0x81243668,
+ (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x1101e65f, (q31_t)0x81228a5a, (q31_t)0x10fbac1e, (q31_t)0x8121b4c8, (q31_t)0x10f571d3, (q31_t)0x8120df85,
+ (q31_t)0x10ef377d, (q31_t)0x81200a90, (q31_t)0x10e8fd1c, (q31_t)0x811f35e9, (q31_t)0x10e2c2b2, (q31_t)0x811e6191, (q31_t)0x10dc883c, (q31_t)0x811d8d86,
+ (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10d01333, (q31_t)0x811be65d, (q31_t)0x10c9d89e, (q31_t)0x811b133d, (q31_t)0x10c39dff, (q31_t)0x811a406c,
+ (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10b728a3, (q31_t)0x81189bb4, (q31_t)0x10b0ede5, (q31_t)0x8117c9ce, (q31_t)0x10aab31d, (q31_t)0x8116f836,
+ (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x109e3d6e, (q31_t)0x811555f1, (q31_t)0x10980287, (q31_t)0x81148544, (q31_t)0x1091c796, (q31_t)0x8113b4e5,
+ (q31_t)0x108b8c9b, (q31_t)0x8112e4d4, (q31_t)0x10855195, (q31_t)0x81121512, (q31_t)0x107f1686, (q31_t)0x8111459e, (q31_t)0x1078db6c, (q31_t)0x81107678,
+ (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x106c651a, (q31_t)0x810ed917, (q31_t)0x106629e1, (q31_t)0x810e0adc, (q31_t)0x105fee9f, (q31_t)0x810d3cf0,
+ (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x105377fc, (q31_t)0x810ba202, (q31_t)0x104d3c9b, (q31_t)0x810ad500, (q31_t)0x10470130, (q31_t)0x810a084d,
+ (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x103a8a3d, (q31_t)0x81086fd1, (q31_t)0x10344eb4, (q31_t)0x8107a409, (q31_t)0x102e1321, (q31_t)0x8106d88f,
+ (q31_t)0x1027d784, (q31_t)0x81060d63, (q31_t)0x10219bdd, (q31_t)0x81054286, (q31_t)0x101b602d, (q31_t)0x810477f7, (q31_t)0x10152472, (q31_t)0x8103adb6,
+ (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0x1008acdf, (q31_t)0x81021a20, (q31_t)0x10027107, (q31_t)0x810150ca, (q31_t)0xffc3524, (q31_t)0x810087c3,
+ (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfefbd42, (q31_t)0x80fef69f, (q31_t)0xfe98143, (q31_t)0x80fe2e83, (q31_t)0xfe34539, (q31_t)0x80fd66b5,
+ (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfd6cd08, (q31_t)0x80fbd804, (q31_t)0xfd090e1, (q31_t)0x80fb1121, (q31_t)0xfca54b1, (q31_t)0x80fa4a8c,
+ (q31_t)0xfc41876, (q31_t)0x80f98446, (q31_t)0xfbddc32, (q31_t)0x80f8be4e, (q31_t)0xfb79fe4, (q31_t)0x80f7f8a4, (q31_t)0xfb1638d, (q31_t)0x80f73349,
+ (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xfa4eac0, (q31_t)0x80f5a97e, (q31_t)0xf9eae4c, (q31_t)0x80f4e50e, (q31_t)0xf9871ce, (q31_t)0x80f420ec,
+ (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf8bf8b4, (q31_t)0x80f29994, (q31_t)0xf85bc19, (q31_t)0x80f1d65d, (q31_t)0xf7f7f75, (q31_t)0x80f11375,
+ (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf73060f, (q31_t)0x80ef8e90, (q31_t)0xf6cc94e, (q31_t)0x80eecc93, (q31_t)0xf668c83, (q31_t)0x80ee0ae4,
+ (q31_t)0xf604faf, (q31_t)0x80ed4984, (q31_t)0xf5a12d1, (q31_t)0x80ec8872, (q31_t)0xf53d5ea, (q31_t)0x80ebc7ae, (q31_t)0xf4d98f9, (q31_t)0x80eb0739,
+ (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf411efb, (q31_t)0x80e9873a, (q31_t)0xf3ae1ee, (q31_t)0x80e8c7b0, (q31_t)0xf34a4d8, (q31_t)0x80e80874,
+ (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf282a8f, (q31_t)0x80e68ae8, (q31_t)0xf21ed5d, (q31_t)0x80e5cc98, (q31_t)0xf1bb021, (q31_t)0x80e50e96,
+ (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xf0f358e, (q31_t)0x80e3937d, (q31_t)0xf08f836, (q31_t)0x80e2d666, (q31_t)0xf02bad5, (q31_t)0x80e2199e,
+ (q31_t)0xefc7d6b, (q31_t)0x80e15d24, (q31_t)0xef63ff7, (q31_t)0x80e0a0f8, (q31_t)0xef0027b, (q31_t)0x80dfe51b, (q31_t)0xee9c4f5, (q31_t)0x80df298c,
+ (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xedd49ce, (q31_t)0x80ddb35a, (q31_t)0xed70c2c, (q31_t)0x80dcf8b7, (q31_t)0xed0ce82, (q31_t)0x80dc3e62,
+ (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xec45311, (q31_t)0x80dacaa3, (q31_t)0xebe154b, (q31_t)0x80da1139, (q31_t)0xeb7d77c, (q31_t)0x80d9581e,
+ (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xeab5bc3, (q31_t)0x80d7e6d3, (q31_t)0xea51dd8, (q31_t)0x80d72ea3, (q31_t)0xe9edfe5, (q31_t)0x80d676c1,
+ (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e, (q31_t)0xe9263e3, (q31_t)0x80d507e9, (q31_t)0xe8c25d5, (q31_t)0x80d450f3, (q31_t)0xe85e7be, (q31_t)0x80d39a4b,
+ (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe796b74, (q31_t)0x80d22de7, (q31_t)0xe732d42, (q31_t)0x80d1782a, (q31_t)0xe6cef07, (q31_t)0x80d0c2bc,
+ (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe607277, (q31_t)0x80cf58cc, (q31_t)0xe5a3421, (q31_t)0x80cea449, (q31_t)0xe53f5c2, (q31_t)0x80cdf015,
+ (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe4778eb, (q31_t)0x80cc8898, (q31_t)0xe413a72, (q31_t)0x80cbd54f, (q31_t)0xe3afbf0, (q31_t)0x80cb2255,
+ (q31_t)0xe34bd66, (q31_t)0x80ca6fa9, (q31_t)0xe2e7ed2, (q31_t)0x80c9bd4c, (q31_t)0xe284036, (q31_t)0x80c90b3d, (q31_t)0xe220191, (q31_t)0x80c8597c,
+ (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe15842e, (q31_t)0x80c6f6e7, (q31_t)0xe0f456f, (q31_t)0x80c64612, (q31_t)0xe0906a7, (q31_t)0x80c5958b,
+ (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xdfc88fe, (q31_t)0x80c4356a, (q31_t)0xdf64a1c, (q31_t)0x80c385cf, (q31_t)0xdf00b32, (q31_t)0x80c2d682,
+ (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xde38d44, (q31_t)0x80c178d4, (q31_t)0xddd4e40, (q31_t)0x80c0ca73, (q31_t)0xdd70f34, (q31_t)0x80c01c60,
+ (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c, (q31_t)0xdca9102, (q31_t)0x80bec127, (q31_t)0xdc451dc, (q31_t)0x80be13ff, (q31_t)0xdbe12ad, (q31_t)0x80bd6727,
+ (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xdb19437, (q31_t)0x80bc0e61, (q31_t)0xdab54ef, (q31_t)0x80bb6274, (q31_t)0xda5159f, (q31_t)0x80bab6d5,
+ (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd9896e5, (q31_t)0x80b96083, (q31_t)0xd92577b, (q31_t)0x80b8b5d0, (q31_t)0xd8c1809, (q31_t)0x80b80b6c,
+ (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd7f990c, (q31_t)0x80b6b78e, (q31_t)0xd795982, (q31_t)0x80b60e15, (q31_t)0xd7319ee, (q31_t)0x80b564ea,
+ (q31_t)0xd6cda53, (q31_t)0x80b4bc0e, (q31_t)0xd669aaf, (q31_t)0x80b41381, (q31_t)0xd605b03, (q31_t)0x80b36b42, (q31_t)0xd5a1b4f, (q31_t)0x80b2c351,
+ (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd4d9bcd, (q31_t)0x80b1745c, (q31_t)0xd475c00, (q31_t)0x80b0cd57, (q31_t)0xd411c2b, (q31_t)0x80b026a1,
+ (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd349c68, (q31_t)0x80aeda20, (q31_t)0xd2e5c7b, (q31_t)0x80ae3455, (q31_t)0xd281c85, (q31_t)0x80ad8ed9,
+ (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd1b9c81, (q31_t)0x80ac44cc, (q31_t)0xd155c73, (q31_t)0x80aba03b, (q31_t)0xd0f1c5d, (q31_t)0x80aafbf9,
+ (q31_t)0xd08dc3f, (q31_t)0x80aa5806, (q31_t)0xd029c18, (q31_t)0x80a9b461, (q31_t)0xcfc5bea, (q31_t)0x80a9110b, (q31_t)0xcf61bb4, (q31_t)0x80a86e03,
+ (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xce99b2f, (q31_t)0x80a728df, (q31_t)0xce35ae1, (q31_t)0x80a686c2, (q31_t)0xcdd1a8b, (q31_t)0x80a5e4f5,
+ (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcd099c7, (q31_t)0x80a4a245, (q31_t)0xcca5959, (q31_t)0x80a40163, (q31_t)0xcc418e3, (q31_t)0x80a360d0,
+ (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xcb797e0, (q31_t)0x80a22095, (q31_t)0xcb15752, (q31_t)0x80a180ed, (q31_t)0xcab16bd, (q31_t)0x80a0e194,
+ (q31_t)0xca4d620, (q31_t)0x80a04289, (q31_t)0xc9e957b, (q31_t)0x809fa3cd, (q31_t)0xc9854cf, (q31_t)0x809f0560, (q31_t)0xc92141a, (q31_t)0x809e6741,
+ (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc85929a, (q31_t)0x809d2bef, (q31_t)0xc7f51cf, (q31_t)0x809c8ebc, (q31_t)0xc7910fb, (q31_t)0x809bf1d7,
+ (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc6c8f3e, (q31_t)0x809ab8fa, (q31_t)0xc664e53, (q31_t)0x809a1d01, (q31_t)0xc600d61, (q31_t)0x80998157,
+ (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc538b66, (q31_t)0x80984aee, (q31_t)0xc4d4a5d, (q31_t)0x8097b030, (q31_t)0xc47094d, (q31_t)0x809715c0,
+ (q31_t)0xc40c835, (q31_t)0x80967b9f, (q31_t)0xc3a8715, (q31_t)0x8095e1cc, (q31_t)0xc3445ee, (q31_t)0x80954848, (q31_t)0xc2e04c0, (q31_t)0x8094af13,
+ (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc21824c, (q31_t)0x80937d93, (q31_t)0xc1b4107, (q31_t)0x8092e54a, (q31_t)0xc14ffba, (q31_t)0x80924d4f,
+ (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xc087d0a, (q31_t)0x80911e44, (q31_t)0xc023ba7, (q31_t)0x80908735, (q31_t)0xbfbfa3d, (q31_t)0x808ff074,
+ (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbef7752, (q31_t)0x808ec3df, (q31_t)0xbe935d2, (q31_t)0x808e2e0a, (q31_t)0xbe2f44a, (q31_t)0x808d9884,
+ (q31_t)0xbdcb2bb, (q31_t)0x808d034c, (q31_t)0xbd67124, (q31_t)0x808c6e63, (q31_t)0xbd02f87, (q31_t)0x808bd9c9, (q31_t)0xbc9ede2, (q31_t)0x808b457d,
+ (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbbd6a82, (q31_t)0x808a1dd2, (q31_t)0xbb728c7, (q31_t)0x80898a72, (q31_t)0xbb0e705, (q31_t)0x8088f761,
+ (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xba4636b, (q31_t)0x8087d22a, (q31_t)0xb9e2193, (q31_t)0x80874005, (q31_t)0xb97dfb5, (q31_t)0x8086ae2e,
+ (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb8b5be1, (q31_t)0x80858b6c, (q31_t)0xb8519ed, (q31_t)0x8084fa82, (q31_t)0xb7ed7f2, (q31_t)0x808469e5,
+ (q31_t)0xb7895f0, (q31_t)0x8083d998, (q31_t)0xb7253e6, (q31_t)0x80834999, (q31_t)0xb6c11d5, (q31_t)0x8082b9e9, (q31_t)0xb65cfbe, (q31_t)0x80822a87,
+ (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb594b7a, (q31_t)0x80810cb0, (q31_t)0xb53094d, (q31_t)0x80807e3a, (q31_t)0xb4cc719, (q31_t)0x807ff013,
+ (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb40429d, (q31_t)0x807ed4b1, (q31_t)0xb3a0055, (q31_t)0x807e4776, (q31_t)0xb33be05, (q31_t)0x807dba89,
+ (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb273952, (q31_t)0x807ca19c, (q31_t)0xb20f6ee, (q31_t)0x807c159c, (q31_t)0xb1ab483, (q31_t)0x807b89ea,
+ (q31_t)0xb147211, (q31_t)0x807afe87, (q31_t)0xb0e2f98, (q31_t)0x807a7373, (q31_t)0xb07ed19, (q31_t)0x8079e8ad, (q31_t)0xb01aa92, (q31_t)0x80795e36,
+ (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xaf52571, (q31_t)0x80784a33, (q31_t)0xaeee2d7, (q31_t)0x8077c0a8, (q31_t)0xae8a036, (q31_t)0x8077376c,
+ (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xadc1adf, (q31_t)0x807625df, (q31_t)0xad5d829, (q31_t)0x80759d8e, (q31_t)0xacf956d, (q31_t)0x8075158c,
+ (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xac30fe1, (q31_t)0x80740675, (q31_t)0xabccd11, (q31_t)0x80737f5f, (q31_t)0xab68a3a, (q31_t)0x8072f898,
+ (q31_t)0xab0475c, (q31_t)0x8072721f, (q31_t)0xaaa0478, (q31_t)0x8071ebf6, (q31_t)0xaa3c18e, (q31_t)0x8071661a, (q31_t)0xa9d7e9d, (q31_t)0x8070e08e,
+ (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa90f8a7, (q31_t)0x806fd661, (q31_t)0xa8ab5a2, (q31_t)0x806f51c1, (q31_t)0xa847297, (q31_t)0x806ecd6f,
+ (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa77ec6d, (q31_t)0x806dc5b8, (q31_t)0xa71a94f, (q31_t)0x806d4253, (q31_t)0xa6b662a, (q31_t)0x806cbf3c,
+ (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa5edfcc, (q31_t)0x806bb9fa, (q31_t)0xa589c94, (q31_t)0x806b37cf, (q31_t)0xa525955, (q31_t)0x806ab5f3,
+ (q31_t)0xa4c1610, (q31_t)0x806a3466, (q31_t)0xa45d2c5, (q31_t)0x8069b327, (q31_t)0xa3f8f73, (q31_t)0x80693237, (q31_t)0xa394c1b, (q31_t)0x8068b196,
+ (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa2cc558, (q31_t)0x8067b13f, (q31_t)0xa2681ed, (q31_t)0x8067318a, (q31_t)0xa203e7c, (q31_t)0x8066b224,
+ (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa13b787, (q31_t)0x8065b443, (q31_t)0xa0d7403, (q31_t)0x806535c9, (q31_t)0xa073079, (q31_t)0x8064b79d,
+ (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9faa952, (q31_t)0x8063bc32, (q31_t)0x9f465b5, (q31_t)0x80633ef3, (q31_t)0x9ee2213, (q31_t)0x8062c202,
+ (q31_t)0x9e7de6a, (q31_t)0x80624560, (q31_t)0x9e19abb, (q31_t)0x8061c90c, (q31_t)0x9db5706, (q31_t)0x80614d08, (q31_t)0x9d5134b, (q31_t)0x8060d152,
+ (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9c88bc2, (q31_t)0x805fdad2, (q31_t)0x9c247f5, (q31_t)0x805f6009, (q31_t)0x9bc0421, (q31_t)0x805ee58e,
+ (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x9af7c69, (q31_t)0x805df184, (q31_t)0x9a93884, (q31_t)0x805d77f5, (q31_t)0x9a2f498, (q31_t)0x805cfeb5,
+ (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x9966cb0, (q31_t)0x805c0d21, (q31_t)0x99028b3, (q31_t)0x805b94ce, (q31_t)0x989e4b0, (q31_t)0x805b1cc8,
+ (q31_t)0x983a0a7, (q31_t)0x805aa512, (q31_t)0x97d5c99, (q31_t)0x805a2daa, (q31_t)0x9771884, (q31_t)0x8059b692, (q31_t)0x970d46a, (q31_t)0x80593fc7,
+ (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9644c23, (q31_t)0x8058531f, (q31_t)0x95e07f8, (q31_t)0x8057dd41, (q31_t)0x957c3c6, (q31_t)0x805767b2,
+ (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x94b3b52, (q31_t)0x80567d80, (q31_t)0x944f70f, (q31_t)0x805608dd, (q31_t)0x93eb2c6, (q31_t)0x80559489,
+ (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x9322a24, (q31_t)0x8054accd, (q31_t)0x92be5ca, (q31_t)0x80543965, (q31_t)0x925a16b, (q31_t)0x8053c64c,
+ (q31_t)0x91f5d06, (q31_t)0x80535381, (q31_t)0x919189c, (q31_t)0x8052e106, (q31_t)0x912d42c, (q31_t)0x80526ed9, (q31_t)0x90c8fb6, (q31_t)0x8051fcfb,
+ (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x90006ba, (q31_t)0x80511a2b, (q31_t)0x8f9c233, (q31_t)0x8050a939, (q31_t)0x8f37da7, (q31_t)0x80503896,
+ (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8e6f47f, (q31_t)0x804f583c, (q31_t)0x8e0afe2, (q31_t)0x804ee885, (q31_t)0x8da6b40, (q31_t)0x804e791d,
+ (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8cde1ec, (q31_t)0x804d9b39, (q31_t)0x8c79d3a, (q31_t)0x804d2cbd, (q31_t)0x8c15882, (q31_t)0x804cbe90,
+ (q31_t)0x8bb13c5, (q31_t)0x804c50b2, (q31_t)0x8b4cf02, (q31_t)0x804be323, (q31_t)0x8ae8a3a, (q31_t)0x804b75e2, (q31_t)0x8a8456d, (q31_t)0x804b08f0,
+ (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x89bbbc3, (q31_t)0x804a2ff9, (q31_t)0x89576e5, (q31_t)0x8049c3f3, (q31_t)0x88f3203, (q31_t)0x8049583d,
+ (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x882a82e, (q31_t)0x804881bb, (q31_t)0x87c633c, (q31_t)0x804816f1, (q31_t)0x8761e44, (q31_t)0x8047ac75,
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+ (q31_t)0x856c520, (q31_t)0x80459ca9, (q31_t)0x850800a, (q31_t)0x80453406, (q31_t)0x84a3aee, (q31_t)0x8044cbb2, (q31_t)0x843f5cd, (q31_t)0x804463ad,
+ (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8376b7c, (q31_t)0x8043948e, (q31_t)0x831264c, (q31_t)0x80432d75, (q31_t)0x82ae117, (q31_t)0x8042c6ab,
+ (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x81e569d, (q31_t)0x8041fa03, (q31_t)0x8181159, (q31_t)0x80419425, (q31_t)0x811cc10, (q31_t)0x80412e96,
+ (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x805416e, (q31_t)0x80406465, (q31_t)0x7fefc16, (q31_t)0x803fffc2, (q31_t)0x7f8b6b9, (q31_t)0x803f9b6f,
+ (q31_t)0x7f27157, (q31_t)0x803f376a, (q31_t)0x7ec2bf0, (q31_t)0x803ed3b3, (q31_t)0x7e5e685, (q31_t)0x803e704c, (q31_t)0x7dfa114, (q31_t)0x803e0d34,
+ (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7d31624, (q31_t)0x803d47ef, (q31_t)0x7ccd0a5, (q31_t)0x803ce5c3, (q31_t)0x7c68b21, (q31_t)0x803c83e5,
+ (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7ba000b, (q31_t)0x803bc117, (q31_t)0x7b3ba78, (q31_t)0x803b6026, (q31_t)0x7ad74e1, (q31_t)0x803aff84,
+ (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x7a0e9a5, (q31_t)0x803a3f2d, (q31_t)0x79aa400, (q31_t)0x8039df77, (q31_t)0x7945e56, (q31_t)0x80398010,
+ (q31_t)0x78e18a7, (q31_t)0x803920f8, (q31_t)0x787d2f4, (q31_t)0x8038c22f, (q31_t)0x7818d3c, (q31_t)0x803863b5, (q31_t)0x77b4780, (q31_t)0x80380589,
+ (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x76ebbf9, (q31_t)0x80374a1f, (q31_t)0x768762e, (q31_t)0x8036ece0, (q31_t)0x762305f, (q31_t)0x80368fef,
+ (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x755a4b4, (q31_t)0x8035d6fb, (q31_t)0x74f5ed7, (q31_t)0x80357af8, (q31_t)0x74918f6, (q31_t)0x80351f43,
+ (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x73c8d27, (q31_t)0x803468c5, (q31_t)0x7364738, (q31_t)0x80340dfd, (q31_t)0x7300145, (q31_t)0x8033b383,
+ (q31_t)0x729bb4e, (q31_t)0x80335959, (q31_t)0x7237552, (q31_t)0x8032ff7d, (q31_t)0x71d2f52, (q31_t)0x8032a5ef, (q31_t)0x716e94e, (q31_t)0x80324cb1,
+ (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x70a5d37, (q31_t)0x80319b21, (q31_t)0x7041726, (q31_t)0x803142cf, (q31_t)0x6fdd110, (q31_t)0x8030eacd,
+ (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6f144d7, (q31_t)0x80303bb3, (q31_t)0x6eafeb4, (q31_t)0x802fe49d, (q31_t)0x6e4b88d, (q31_t)0x802f8dd5,
+ (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6d82c32, (q31_t)0x802ee133, (q31_t)0x6d1e5fe, (q31_t)0x802e8b58, (q31_t)0x6cb9fc6, (q31_t)0x802e35cb,
+ (q31_t)0x6c5598a, (q31_t)0x802de08e, (q31_t)0x6bf1349, (q31_t)0x802d8ba0, (q31_t)0x6b8cd05, (q31_t)0x802d3700, (q31_t)0x6b286bc, (q31_t)0x802ce2af,
+ (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6a5fa1e, (q31_t)0x802c3afa, (q31_t)0x69fb3c9, (q31_t)0x802be796, (q31_t)0x6996d70, (q31_t)0x802b9480,
+ (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x68ce0b2, (q31_t)0x802aef42, (q31_t)0x6869a4c, (q31_t)0x802a9d19, (q31_t)0x68053e3, (q31_t)0x802a4b3f,
+ (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x673c704, (q31_t)0x8029a878, (q31_t)0x66d808f, (q31_t)0x8029578b, (q31_t)0x6673a16, (q31_t)0x802906ec,
+ (q31_t)0x660f398, (q31_t)0x8028b69c, (q31_t)0x65aad17, (q31_t)0x8028669b, (q31_t)0x6546692, (q31_t)0x802816e9, (q31_t)0x64e2009, (q31_t)0x8027c786,
+ (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x64192eb, (q31_t)0x802729ad, (q31_t)0x63b4c57, (q31_t)0x8026db36, (q31_t)0x63505be, (q31_t)0x80268d0e,
+ (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x6287882, (q31_t)0x8025f1ac, (q31_t)0x62231de, (q31_t)0x8025a471, (q31_t)0x61beb36, (q31_t)0x80255784,
+ (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x60f5ddc, (q31_t)0x8024be99, (q31_t)0x6091729, (q31_t)0x80247299, (q31_t)0x602d072, (q31_t)0x802426e8,
+ (q31_t)0x5fc89b8, (q31_t)0x8023db86, (q31_t)0x5f642fa, (q31_t)0x80239073, (q31_t)0x5effc38, (q31_t)0x802345af, (q31_t)0x5e9b572, (q31_t)0x8022fb3a,
+ (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5dd27dd, (q31_t)0x8022673c, (q31_t)0x5d6e10c, (q31_t)0x80221db3, (q31_t)0x5d09a38, (q31_t)0x8021d47a,
+ (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5c40c86, (q31_t)0x802142f3, (q31_t)0x5bdc5a7, (q31_t)0x8020faa6, (q31_t)0x5b77ec5, (q31_t)0x8020b2a7,
+ (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5aaf0f6, (q31_t)0x80202397, (q31_t)0x5a4aa09, (q31_t)0x801fdc86, (q31_t)0x59e6319, (q31_t)0x801f95c3,
+ (q31_t)0x5981c26, (q31_t)0x801f4f4f, (q31_t)0x591d52f, (q31_t)0x801f092a, (q31_t)0x58b8e34, (q31_t)0x801ec354, (q31_t)0x5854736, (q31_t)0x801e7dcd,
+ (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x578b930, (q31_t)0x801df3ab, (q31_t)0x5727228, (q31_t)0x801daf11, (q31_t)0x56c2b1c, (q31_t)0x801d6ac5,
+ (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x55f9cfb, (q31_t)0x801ce31a, (q31_t)0x55955e6, (q31_t)0x801c9fbb, (q31_t)0x5530ecd, (q31_t)0x801c5cab,
+ (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x5468092, (q31_t)0x801bd777, (q31_t)0x540396f, (q31_t)0x801b9554, (q31_t)0x539f249, (q31_t)0x801b537f,
+ (q31_t)0x533ab20, (q31_t)0x801b11fa, (q31_t)0x52d63f4, (q31_t)0x801ad0c3, (q31_t)0x5271cc4, (q31_t)0x801a8fdb, (q31_t)0x520d592, (q31_t)0x801a4f42,
+ (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5144723, (q31_t)0x8019cefd, (q31_t)0x50dffe7, (q31_t)0x80198f50, (q31_t)0x507b8a8, (q31_t)0x80194ff3,
+ (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4fb2a20, (q31_t)0x8018d225, (q31_t)0x4f4e2d8, (q31_t)0x801893b4, (q31_t)0x4ee9b8c, (q31_t)0x80185592,
+ (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4e20cec, (q31_t)0x8017da3b, (q31_t)0x4dbc597, (q31_t)0x80179d06, (q31_t)0x4d57e40, (q31_t)0x80176020,
+ (q31_t)0x4cf36e5, (q31_t)0x80172388, (q31_t)0x4c8ef88, (q31_t)0x8016e740, (q31_t)0x4c2a827, (q31_t)0x8016ab46, (q31_t)0x4bc60c4, (q31_t)0x80166f9c,
+ (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x4afd1f4, (q31_t)0x8015f933, (q31_t)0x4a98a88, (q31_t)0x8015be75, (q31_t)0x4a34319, (q31_t)0x80158406,
+ (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x496b432, (q31_t)0x80151015, (q31_t)0x4906cbb, (q31_t)0x8014d693, (q31_t)0x48a2540, (q31_t)0x80149d5f,
+ (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x47d9643, (q31_t)0x80142be5, (q31_t)0x4774ec1, (q31_t)0x8013f39e, (q31_t)0x471073b, (q31_t)0x8013bba7,
+ (q31_t)0x46abfb3, (q31_t)0x801383fe, (q31_t)0x4647828, (q31_t)0x80134ca4, (q31_t)0x45e309a, (q31_t)0x80131599, (q31_t)0x457e90a, (q31_t)0x8012dedd,
+ (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x44b59e1, (q31_t)0x80127251, (q31_t)0x4451249, (q31_t)0x80123c82, (q31_t)0x43ecaae, (q31_t)0x80120701,
+ (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x4323b70, (q31_t)0x80119ced, (q31_t)0x42bf3cd, (q31_t)0x80116859, (q31_t)0x425ac28, (q31_t)0x80113414,
+ (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x4191cd5, (q31_t)0x8010cc78, (q31_t)0x412d528, (q31_t)0x8010991f, (q31_t)0x40c8d79, (q31_t)0x80106616,
+ (q31_t)0x40645c7, (q31_t)0x8010335c, (q31_t)0x3fffe12, (q31_t)0x801000f1, (q31_t)0x3f9b65b, (q31_t)0x800fced4, (q31_t)0x3f36ea2, (q31_t)0x800f9d07,
+ (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3e6df28, (q31_t)0x800f3a59, (q31_t)0x3e09767, (q31_t)0x800f0978, (q31_t)0x3da4fa4, (q31_t)0x800ed8e6,
+ (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3cdc017, (q31_t)0x800e78af, (q31_t)0x3c7784d, (q31_t)0x800e490a, (q31_t)0x3c13080, (q31_t)0x800e19b4,
+ (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3b4a0e0, (q31_t)0x800dbbf5, (q31_t)0x3ae590d, (q31_t)0x800d8d8b, (q31_t)0x3a81137, (q31_t)0x800d5f71,
+ (q31_t)0x3a1c960, (q31_t)0x800d31a5, (q31_t)0x39b8185, (q31_t)0x800d0429, (q31_t)0x39539a9, (q31_t)0x800cd6fb, (q31_t)0x38ef1ca, (q31_t)0x800caa1c,
+ (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x3826207, (q31_t)0x800c514c, (q31_t)0x37c1a22, (q31_t)0x800c255a, (q31_t)0x375d23a, (q31_t)0x800bf9b7,
+ (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3694265, (q31_t)0x800ba35d, (q31_t)0x362fa78, (q31_t)0x800b78a7, (q31_t)0x35cb288, (q31_t)0x800b4e40,
+ (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x35022a2, (q31_t)0x800afa5e, (q31_t)0x349daac, (q31_t)0x800ad0e3, (q31_t)0x34392b4, (q31_t)0x800aa7b8,
+ (q31_t)0x33d4abb, (q31_t)0x800a7edb, (q31_t)0x33702bf, (q31_t)0x800a564e, (q31_t)0x330bac1, (q31_t)0x800a2e0f, (q31_t)0x32a72c1, (q31_t)0x800a061f,
+ (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x31de2bb, (q31_t)0x8009b72c, (q31_t)0x3179ab5, (q31_t)0x80099029, (q31_t)0x31152ae, (q31_t)0x80096975,
+ (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x304c299, (q31_t)0x80091cf9, (q31_t)0x2fe7a8c, (q31_t)0x8008f732, (q31_t)0x2f8327d, (q31_t)0x8008d1ba,
+ (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2eba259, (q31_t)0x800887b6, (q31_t)0x2e55a44, (q31_t)0x8008632a, (q31_t)0x2df122e, (q31_t)0x80083eed,
+ (q31_t)0x2d8ca16, (q31_t)0x80081b00, (q31_t)0x2d281fc, (q31_t)0x8007f761, (q31_t)0x2cc39e1, (q31_t)0x8007d411, (q31_t)0x2c5f1c3, (q31_t)0x8007b110,
+ (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2b96184, (q31_t)0x80076bfb, (q31_t)0x2b31961, (q31_t)0x800749e7, (q31_t)0x2acd13d, (q31_t)0x80072822,
+ (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x2a040f0, (q31_t)0x8006e585, (q31_t)0x299f8c7, (q31_t)0x8006c4ac, (q31_t)0x293b09c, (q31_t)0x8006a423,
+ (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x2872043, (q31_t)0x800663fd, (q31_t)0x280d813, (q31_t)0x80064460, (q31_t)0x27a8fe2, (q31_t)0x80062513,
+ (q31_t)0x27447b0, (q31_t)0x80060614, (q31_t)0x26dff7c, (q31_t)0x8005e764, (q31_t)0x267b747, (q31_t)0x8005c904, (q31_t)0x2616f10, (q31_t)0x8005aaf2,
+ (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x254de9e, (q31_t)0x80056fbb, (q31_t)0x24e9662, (q31_t)0x80055296, (q31_t)0x2484e26, (q31_t)0x800535c0,
+ (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x23bbda8, (q31_t)0x8004fd00, (q31_t)0x2357567, (q31_t)0x8004e117, (q31_t)0x22f2d25, (q31_t)0x8004c57d,
+ (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x2229c9d, (q31_t)0x80048f35, (q31_t)0x21c5457, (q31_t)0x80047488, (q31_t)0x2160c0f, (q31_t)0x80045a29,
+ (q31_t)0x20fc3c6, (q31_t)0x8004401a, (q31_t)0x2097b7c, (q31_t)0x80042659, (q31_t)0x2033331, (q31_t)0x80040ce7, (q31_t)0x1fceae4, (q31_t)0x8003f3c5,
+ (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1f05a48, (q31_t)0x8003c26c, (q31_t)0x1ea11f7, (q31_t)0x8003aa36, (q31_t)0x1e3c9a6, (q31_t)0x8003924f,
+ (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1d73900, (q31_t)0x8003636e, (q31_t)0x1d0f0ab, (q31_t)0x80034c74, (q31_t)0x1caa855, (q31_t)0x800335c9,
+ (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1be17a6, (q31_t)0x80030960, (q31_t)0x1b7cf4d, (q31_t)0x8002f3a1, (q31_t)0x1b186f3, (q31_t)0x8002de32,
+ (q31_t)0x1ab3e97, (q31_t)0x8002c912, (q31_t)0x1a4f63b, (q31_t)0x8002b440, (q31_t)0x19eaddd, (q31_t)0x80029fbe, (q31_t)0x198657f, (q31_t)0x80028b8a,
+ (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x18bd4bf, (q31_t)0x80026410, (q31_t)0x1858c5e, (q31_t)0x800250c9, (q31_t)0x17f43fc, (q31_t)0x80023dd2,
+ (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x172b335, (q31_t)0x800218cf, (q31_t)0x16c6ad0, (q31_t)0x800206c4, (q31_t)0x166226a, (q31_t)0x8001f508,
+ (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x159919c, (q31_t)0x8001d27d, (q31_t)0x1534934, (q31_t)0x8001c1ae, (q31_t)0x14d00ca, (q31_t)0x8001b12e,
+ (q31_t)0x146b860, (q31_t)0x8001a0fd, (q31_t)0x1406ff6, (q31_t)0x8001911b, (q31_t)0x13a278a, (q31_t)0x80018187, (q31_t)0x133df1e, (q31_t)0x80017243,
+ (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x1274e43, (q31_t)0x800154a7, (q31_t)0x12105d5, (q31_t)0x80014650, (q31_t)0x11abd66, (q31_t)0x80013847,
+ (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x10e2c85, (q31_t)0x80011d23, (q31_t)0x107e414, (q31_t)0x80011008, (q31_t)0x1019ba2, (q31_t)0x8001033b,
+ (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0x0f50abd, (q31_t)0x8000ea8e, (q31_t)0x0eec249, (q31_t)0x8000deaf, (q31_t)0x0e879d5, (q31_t)0x8000d31e,
+ (q31_t)0x0e23160, (q31_t)0x8000c7dc, (q31_t)0x0dbe8eb, (q31_t)0x8000bce9, (q31_t)0x0d5a075, (q31_t)0x8000b245, (q31_t)0x0cf57ff, (q31_t)0x8000a7f0,
+ (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0c2c711, (q31_t)0x80009433, (q31_t)0x0bc7e99, (q31_t)0x80008aca, (q31_t)0x0b63621, (q31_t)0x800081b1,
+ (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x0a9a52f, (q31_t)0x8000706c, (q31_t)0x0a35cb5, (q31_t)0x8000683f, (q31_t)0x09d143b, (q31_t)0x80006062,
+ (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x0908346, (q31_t)0x80005194, (q31_t)0x08a3acb, (q31_t)0x80004aa4, (q31_t)0x083f250, (q31_t)0x80004402,
+ (q31_t)0x07da9d4, (q31_t)0x80003daf, (q31_t)0x0776159, (q31_t)0x800037ac, (q31_t)0x07118dc, (q31_t)0x800031f7, (q31_t)0x06ad060, (q31_t)0x80002c91,
+ (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x05e3f66, (q31_t)0x800022b3, (q31_t)0x057f6e9, (q31_t)0x80001e3a, (q31_t)0x051ae6b, (q31_t)0x80001a10,
+ (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x0451d70, (q31_t)0x800012a9, (q31_t)0x03ed4f2, (q31_t)0x80000f6c, (q31_t)0x0388c74, (q31_t)0x80000c7e,
+ (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x02bfb77, (q31_t)0x8000078e, (q31_t)0x025b2f8, (q31_t)0x8000058d, (q31_t)0x01f6a7a, (q31_t)0x800003db,
+ (q31_t)0x01921fb, (q31_t)0x80000278, (q31_t)0x012d97c, (q31_t)0x80000163, (q31_t)0x00c90fe, (q31_t)0x8000009e, (q31_t)0x006487f, (q31_t)0x80000027
+};
+ const q31_t cos_factorsQ31_8192[8192] = {
+ (q31_t)0x7ffffff6, (q31_t)0x7fffffa7, (q31_t)0x7fffff09, (q31_t)0x7ffffe1c, (q31_t)0x7ffffce1, (q31_t)0x7ffffb56, (q31_t)0x7ffff97c, (q31_t)0x7ffff753,
+ (q31_t)0x7ffff4dc, (q31_t)0x7ffff215, (q31_t)0x7fffef00, (q31_t)0x7fffeb9b, (q31_t)0x7fffe7e8, (q31_t)0x7fffe3e5, (q31_t)0x7fffdf94, (q31_t)0x7fffdaf3,
+ (q31_t)0x7fffd604, (q31_t)0x7fffd0c6, (q31_t)0x7fffcb39, (q31_t)0x7fffc55c, (q31_t)0x7fffbf31, (q31_t)0x7fffb8b7, (q31_t)0x7fffb1ee, (q31_t)0x7fffaad6,
+ (q31_t)0x7fffa36f, (q31_t)0x7fff9bb9, (q31_t)0x7fff93b4, (q31_t)0x7fff8b61, (q31_t)0x7fff82be, (q31_t)0x7fff79cc, (q31_t)0x7fff708b, (q31_t)0x7fff66fc,
+ (q31_t)0x7fff5d1d, (q31_t)0x7fff52ef, (q31_t)0x7fff4873, (q31_t)0x7fff3da8, (q31_t)0x7fff328d, (q31_t)0x7fff2724, (q31_t)0x7fff1b6b, (q31_t)0x7fff0f64,
+ (q31_t)0x7fff030e, (q31_t)0x7ffef669, (q31_t)0x7ffee975, (q31_t)0x7ffedc31, (q31_t)0x7ffece9f, (q31_t)0x7ffec0be, (q31_t)0x7ffeb28e, (q31_t)0x7ffea40f,
+ (q31_t)0x7ffe9542, (q31_t)0x7ffe8625, (q31_t)0x7ffe76b9, (q31_t)0x7ffe66fe, (q31_t)0x7ffe56f5, (q31_t)0x7ffe469c, (q31_t)0x7ffe35f4, (q31_t)0x7ffe24fe,
+ (q31_t)0x7ffe13b8, (q31_t)0x7ffe0224, (q31_t)0x7ffdf040, (q31_t)0x7ffdde0e, (q31_t)0x7ffdcb8d, (q31_t)0x7ffdb8bc, (q31_t)0x7ffda59d, (q31_t)0x7ffd922f,
+ (q31_t)0x7ffd7e72, (q31_t)0x7ffd6a66, (q31_t)0x7ffd560b, (q31_t)0x7ffd4161, (q31_t)0x7ffd2c68, (q31_t)0x7ffd1720, (q31_t)0x7ffd0189, (q31_t)0x7ffceba4,
+ (q31_t)0x7ffcd56f, (q31_t)0x7ffcbeeb, (q31_t)0x7ffca819, (q31_t)0x7ffc90f7, (q31_t)0x7ffc7987, (q31_t)0x7ffc61c7, (q31_t)0x7ffc49b9, (q31_t)0x7ffc315b,
+ (q31_t)0x7ffc18af, (q31_t)0x7ffbffb4, (q31_t)0x7ffbe66a, (q31_t)0x7ffbccd0, (q31_t)0x7ffbb2e8, (q31_t)0x7ffb98b1, (q31_t)0x7ffb7e2b, (q31_t)0x7ffb6356,
+ (q31_t)0x7ffb4833, (q31_t)0x7ffb2cc0, (q31_t)0x7ffb10fe, (q31_t)0x7ffaf4ed, (q31_t)0x7ffad88e, (q31_t)0x7ffabbdf, (q31_t)0x7ffa9ee2, (q31_t)0x7ffa8195,
+ (q31_t)0x7ffa63fa, (q31_t)0x7ffa460f, (q31_t)0x7ffa27d6, (q31_t)0x7ffa094e, (q31_t)0x7ff9ea76, (q31_t)0x7ff9cb50, (q31_t)0x7ff9abdb, (q31_t)0x7ff98c17,
+ (q31_t)0x7ff96c04, (q31_t)0x7ff94ba2, (q31_t)0x7ff92af1, (q31_t)0x7ff909f2, (q31_t)0x7ff8e8a3, (q31_t)0x7ff8c705, (q31_t)0x7ff8a519, (q31_t)0x7ff882dd,
+ (q31_t)0x7ff86053, (q31_t)0x7ff83d79, (q31_t)0x7ff81a51, (q31_t)0x7ff7f6da, (q31_t)0x7ff7d313, (q31_t)0x7ff7aefe, (q31_t)0x7ff78a9a, (q31_t)0x7ff765e7,
+ (q31_t)0x7ff740e5, (q31_t)0x7ff71b94, (q31_t)0x7ff6f5f4, (q31_t)0x7ff6d005, (q31_t)0x7ff6a9c8, (q31_t)0x7ff6833b, (q31_t)0x7ff65c5f, (q31_t)0x7ff63535,
+ (q31_t)0x7ff60dbb, (q31_t)0x7ff5e5f3, (q31_t)0x7ff5bddc, (q31_t)0x7ff59576, (q31_t)0x7ff56cc0, (q31_t)0x7ff543bc, (q31_t)0x7ff51a69, (q31_t)0x7ff4f0c7,
+ (q31_t)0x7ff4c6d6, (q31_t)0x7ff49c96, (q31_t)0x7ff47208, (q31_t)0x7ff4472a, (q31_t)0x7ff41bfd, (q31_t)0x7ff3f082, (q31_t)0x7ff3c4b7, (q31_t)0x7ff3989e,
+ (q31_t)0x7ff36c36, (q31_t)0x7ff33f7e, (q31_t)0x7ff31278, (q31_t)0x7ff2e523, (q31_t)0x7ff2b77f, (q31_t)0x7ff2898c, (q31_t)0x7ff25b4a, (q31_t)0x7ff22cb9,
+ (q31_t)0x7ff1fdd9, (q31_t)0x7ff1ceab, (q31_t)0x7ff19f2d, (q31_t)0x7ff16f61, (q31_t)0x7ff13f45, (q31_t)0x7ff10edb, (q31_t)0x7ff0de22, (q31_t)0x7ff0ad19,
+ (q31_t)0x7ff07bc2, (q31_t)0x7ff04a1c, (q31_t)0x7ff01827, (q31_t)0x7fefe5e4, (q31_t)0x7fefb351, (q31_t)0x7fef806f, (q31_t)0x7fef4d3e, (q31_t)0x7fef19bf,
+ (q31_t)0x7feee5f0, (q31_t)0x7feeb1d3, (q31_t)0x7fee7d67, (q31_t)0x7fee48ac, (q31_t)0x7fee13a1, (q31_t)0x7fedde48, (q31_t)0x7feda8a0, (q31_t)0x7fed72aa,
+ (q31_t)0x7fed3c64, (q31_t)0x7fed05cf, (q31_t)0x7fecceec, (q31_t)0x7fec97b9, (q31_t)0x7fec6038, (q31_t)0x7fec2867, (q31_t)0x7febf048, (q31_t)0x7febb7da,
+ (q31_t)0x7feb7f1d, (q31_t)0x7feb4611, (q31_t)0x7feb0cb6, (q31_t)0x7fead30c, (q31_t)0x7fea9914, (q31_t)0x7fea5ecc, (q31_t)0x7fea2436, (q31_t)0x7fe9e950,
+ (q31_t)0x7fe9ae1c, (q31_t)0x7fe97299, (q31_t)0x7fe936c7, (q31_t)0x7fe8faa6, (q31_t)0x7fe8be36, (q31_t)0x7fe88177, (q31_t)0x7fe84469, (q31_t)0x7fe8070d,
+ (q31_t)0x7fe7c961, (q31_t)0x7fe78b67, (q31_t)0x7fe74d1e, (q31_t)0x7fe70e85, (q31_t)0x7fe6cf9e, (q31_t)0x7fe69068, (q31_t)0x7fe650e3, (q31_t)0x7fe61110,
+ (q31_t)0x7fe5d0ed, (q31_t)0x7fe5907b, (q31_t)0x7fe54fbb, (q31_t)0x7fe50eac, (q31_t)0x7fe4cd4d, (q31_t)0x7fe48ba0, (q31_t)0x7fe449a4, (q31_t)0x7fe40759,
+ (q31_t)0x7fe3c4bf, (q31_t)0x7fe381d7, (q31_t)0x7fe33e9f, (q31_t)0x7fe2fb19, (q31_t)0x7fe2b743, (q31_t)0x7fe2731f, (q31_t)0x7fe22eac, (q31_t)0x7fe1e9ea,
+ (q31_t)0x7fe1a4d9, (q31_t)0x7fe15f79, (q31_t)0x7fe119cb, (q31_t)0x7fe0d3cd, (q31_t)0x7fe08d81, (q31_t)0x7fe046e5, (q31_t)0x7fdffffb, (q31_t)0x7fdfb8c2,
+ (q31_t)0x7fdf713a, (q31_t)0x7fdf2963, (q31_t)0x7fdee13e, (q31_t)0x7fde98c9, (q31_t)0x7fde5006, (q31_t)0x7fde06f3, (q31_t)0x7fddbd92, (q31_t)0x7fdd73e2,
+ (q31_t)0x7fdd29e3, (q31_t)0x7fdcdf95, (q31_t)0x7fdc94f9, (q31_t)0x7fdc4a0d, (q31_t)0x7fdbfed3, (q31_t)0x7fdbb349, (q31_t)0x7fdb6771, (q31_t)0x7fdb1b4a,
+ (q31_t)0x7fdaced4, (q31_t)0x7fda820f, (q31_t)0x7fda34fc, (q31_t)0x7fd9e799, (q31_t)0x7fd999e8, (q31_t)0x7fd94be8, (q31_t)0x7fd8fd98, (q31_t)0x7fd8aefa,
+ (q31_t)0x7fd8600e, (q31_t)0x7fd810d2, (q31_t)0x7fd7c147, (q31_t)0x7fd7716e, (q31_t)0x7fd72146, (q31_t)0x7fd6d0cf, (q31_t)0x7fd68009, (q31_t)0x7fd62ef4,
+ (q31_t)0x7fd5dd90, (q31_t)0x7fd58bdd, (q31_t)0x7fd539dc, (q31_t)0x7fd4e78c, (q31_t)0x7fd494ed, (q31_t)0x7fd441ff, (q31_t)0x7fd3eec2, (q31_t)0x7fd39b36,
+ (q31_t)0x7fd3475c, (q31_t)0x7fd2f332, (q31_t)0x7fd29eba, (q31_t)0x7fd249f3, (q31_t)0x7fd1f4dd, (q31_t)0x7fd19f78, (q31_t)0x7fd149c5, (q31_t)0x7fd0f3c2,
+ (q31_t)0x7fd09d71, (q31_t)0x7fd046d1, (q31_t)0x7fcfefe2, (q31_t)0x7fcf98a4, (q31_t)0x7fcf4117, (q31_t)0x7fcee93c, (q31_t)0x7fce9112, (q31_t)0x7fce3898,
+ (q31_t)0x7fcddfd0, (q31_t)0x7fcd86b9, (q31_t)0x7fcd2d54, (q31_t)0x7fccd39f, (q31_t)0x7fcc799c, (q31_t)0x7fcc1f4a, (q31_t)0x7fcbc4a9, (q31_t)0x7fcb69b9,
+ (q31_t)0x7fcb0e7a, (q31_t)0x7fcab2ed, (q31_t)0x7fca5710, (q31_t)0x7fc9fae5, (q31_t)0x7fc99e6b, (q31_t)0x7fc941a2, (q31_t)0x7fc8e48b, (q31_t)0x7fc88724,
+ (q31_t)0x7fc8296f, (q31_t)0x7fc7cb6b, (q31_t)0x7fc76d18, (q31_t)0x7fc70e76, (q31_t)0x7fc6af86, (q31_t)0x7fc65046, (q31_t)0x7fc5f0b8, (q31_t)0x7fc590db,
+ (q31_t)0x7fc530af, (q31_t)0x7fc4d035, (q31_t)0x7fc46f6b, (q31_t)0x7fc40e53, (q31_t)0x7fc3acec, (q31_t)0x7fc34b36, (q31_t)0x7fc2e931, (q31_t)0x7fc286de,
+ (q31_t)0x7fc2243b, (q31_t)0x7fc1c14a, (q31_t)0x7fc15e0a, (q31_t)0x7fc0fa7b, (q31_t)0x7fc0969e, (q31_t)0x7fc03271, (q31_t)0x7fbfcdf6, (q31_t)0x7fbf692c,
+ (q31_t)0x7fbf0414, (q31_t)0x7fbe9eac, (q31_t)0x7fbe38f6, (q31_t)0x7fbdd2f0, (q31_t)0x7fbd6c9c, (q31_t)0x7fbd05fa, (q31_t)0x7fbc9f08, (q31_t)0x7fbc37c8,
+ (q31_t)0x7fbbd039, (q31_t)0x7fbb685b, (q31_t)0x7fbb002e, (q31_t)0x7fba97b2, (q31_t)0x7fba2ee8, (q31_t)0x7fb9c5cf, (q31_t)0x7fb95c67, (q31_t)0x7fb8f2b0,
+ (q31_t)0x7fb888ab, (q31_t)0x7fb81e57, (q31_t)0x7fb7b3b4, (q31_t)0x7fb748c2, (q31_t)0x7fb6dd81, (q31_t)0x7fb671f2, (q31_t)0x7fb60614, (q31_t)0x7fb599e7,
+ (q31_t)0x7fb52d6b, (q31_t)0x7fb4c0a1, (q31_t)0x7fb45387, (q31_t)0x7fb3e61f, (q31_t)0x7fb37869, (q31_t)0x7fb30a63, (q31_t)0x7fb29c0f, (q31_t)0x7fb22d6c,
+ (q31_t)0x7fb1be7a, (q31_t)0x7fb14f39, (q31_t)0x7fb0dfaa, (q31_t)0x7fb06fcb, (q31_t)0x7fafff9e, (q31_t)0x7faf8f23, (q31_t)0x7faf1e58, (q31_t)0x7faead3f,
+ (q31_t)0x7fae3bd7, (q31_t)0x7fadca20, (q31_t)0x7fad581b, (q31_t)0x7face5c6, (q31_t)0x7fac7323, (q31_t)0x7fac0031, (q31_t)0x7fab8cf1, (q31_t)0x7fab1962,
+ (q31_t)0x7faaa584, (q31_t)0x7faa3157, (q31_t)0x7fa9bcdb, (q31_t)0x7fa94811, (q31_t)0x7fa8d2f8, (q31_t)0x7fa85d90, (q31_t)0x7fa7e7d9, (q31_t)0x7fa771d4,
+ (q31_t)0x7fa6fb80, (q31_t)0x7fa684dd, (q31_t)0x7fa60dec, (q31_t)0x7fa596ac, (q31_t)0x7fa51f1d, (q31_t)0x7fa4a73f, (q31_t)0x7fa42f12, (q31_t)0x7fa3b697,
+ (q31_t)0x7fa33dcd, (q31_t)0x7fa2c4b5, (q31_t)0x7fa24b4d, (q31_t)0x7fa1d197, (q31_t)0x7fa15792, (q31_t)0x7fa0dd3f, (q31_t)0x7fa0629c, (q31_t)0x7f9fe7ab,
+ (q31_t)0x7f9f6c6b, (q31_t)0x7f9ef0dd, (q31_t)0x7f9e7500, (q31_t)0x7f9df8d4, (q31_t)0x7f9d7c59, (q31_t)0x7f9cff90, (q31_t)0x7f9c8278, (q31_t)0x7f9c0511,
+ (q31_t)0x7f9b875b, (q31_t)0x7f9b0957, (q31_t)0x7f9a8b04, (q31_t)0x7f9a0c62, (q31_t)0x7f998d72, (q31_t)0x7f990e33, (q31_t)0x7f988ea5, (q31_t)0x7f980ec8,
+ (q31_t)0x7f978e9d, (q31_t)0x7f970e23, (q31_t)0x7f968d5b, (q31_t)0x7f960c43, (q31_t)0x7f958add, (q31_t)0x7f950929, (q31_t)0x7f948725, (q31_t)0x7f9404d3,
+ (q31_t)0x7f938232, (q31_t)0x7f92ff43, (q31_t)0x7f927c04, (q31_t)0x7f91f878, (q31_t)0x7f91749c, (q31_t)0x7f90f072, (q31_t)0x7f906bf9, (q31_t)0x7f8fe731,
+ (q31_t)0x7f8f621b, (q31_t)0x7f8edcb6, (q31_t)0x7f8e5702, (q31_t)0x7f8dd0ff, (q31_t)0x7f8d4aae, (q31_t)0x7f8cc40f, (q31_t)0x7f8c3d20, (q31_t)0x7f8bb5e3,
+ (q31_t)0x7f8b2e57, (q31_t)0x7f8aa67d, (q31_t)0x7f8a1e54, (q31_t)0x7f8995dc, (q31_t)0x7f890d15, (q31_t)0x7f888400, (q31_t)0x7f87fa9c, (q31_t)0x7f8770ea,
+ (q31_t)0x7f86e6e9, (q31_t)0x7f865c99, (q31_t)0x7f85d1fa, (q31_t)0x7f85470d, (q31_t)0x7f84bbd1, (q31_t)0x7f843047, (q31_t)0x7f83a46e, (q31_t)0x7f831846,
+ (q31_t)0x7f828bcf, (q31_t)0x7f81ff0a, (q31_t)0x7f8171f6, (q31_t)0x7f80e494, (q31_t)0x7f8056e3, (q31_t)0x7f7fc8e3, (q31_t)0x7f7f3a95, (q31_t)0x7f7eabf8,
+ (q31_t)0x7f7e1d0c, (q31_t)0x7f7d8dd2, (q31_t)0x7f7cfe49, (q31_t)0x7f7c6e71, (q31_t)0x7f7bde4b, (q31_t)0x7f7b4dd6, (q31_t)0x7f7abd13, (q31_t)0x7f7a2c01,
+ (q31_t)0x7f799aa0, (q31_t)0x7f7908f0, (q31_t)0x7f7876f2, (q31_t)0x7f77e4a6, (q31_t)0x7f77520a, (q31_t)0x7f76bf21, (q31_t)0x7f762be8, (q31_t)0x7f759861,
+ (q31_t)0x7f75048b, (q31_t)0x7f747067, (q31_t)0x7f73dbf4, (q31_t)0x7f734732, (q31_t)0x7f72b222, (q31_t)0x7f721cc3, (q31_t)0x7f718715, (q31_t)0x7f70f119,
+ (q31_t)0x7f705ace, (q31_t)0x7f6fc435, (q31_t)0x7f6f2d4d, (q31_t)0x7f6e9617, (q31_t)0x7f6dfe91, (q31_t)0x7f6d66be, (q31_t)0x7f6cce9b, (q31_t)0x7f6c362a,
+ (q31_t)0x7f6b9d6b, (q31_t)0x7f6b045d, (q31_t)0x7f6a6b00, (q31_t)0x7f69d154, (q31_t)0x7f69375a, (q31_t)0x7f689d12, (q31_t)0x7f68027b, (q31_t)0x7f676795,
+ (q31_t)0x7f66cc61, (q31_t)0x7f6630de, (q31_t)0x7f65950c, (q31_t)0x7f64f8ec, (q31_t)0x7f645c7d, (q31_t)0x7f63bfc0, (q31_t)0x7f6322b4, (q31_t)0x7f62855a,
+ (q31_t)0x7f61e7b1, (q31_t)0x7f6149b9, (q31_t)0x7f60ab73, (q31_t)0x7f600cdf, (q31_t)0x7f5f6dfb, (q31_t)0x7f5ecec9, (q31_t)0x7f5e2f49, (q31_t)0x7f5d8f7a,
+ (q31_t)0x7f5cef5c, (q31_t)0x7f5c4ef0, (q31_t)0x7f5bae36, (q31_t)0x7f5b0d2c, (q31_t)0x7f5a6bd5, (q31_t)0x7f59ca2e, (q31_t)0x7f592839, (q31_t)0x7f5885f6,
+ (q31_t)0x7f57e364, (q31_t)0x7f574083, (q31_t)0x7f569d54, (q31_t)0x7f55f9d6, (q31_t)0x7f55560a, (q31_t)0x7f54b1ef, (q31_t)0x7f540d86, (q31_t)0x7f5368ce,
+ (q31_t)0x7f52c3c8, (q31_t)0x7f521e73, (q31_t)0x7f5178cf, (q31_t)0x7f50d2dd, (q31_t)0x7f502c9d, (q31_t)0x7f4f860e, (q31_t)0x7f4edf30, (q31_t)0x7f4e3804,
+ (q31_t)0x7f4d9089, (q31_t)0x7f4ce8c0, (q31_t)0x7f4c40a8, (q31_t)0x7f4b9842, (q31_t)0x7f4aef8d, (q31_t)0x7f4a468a, (q31_t)0x7f499d38, (q31_t)0x7f48f398,
+ (q31_t)0x7f4849a9, (q31_t)0x7f479f6c, (q31_t)0x7f46f4e0, (q31_t)0x7f464a06, (q31_t)0x7f459edd, (q31_t)0x7f44f365, (q31_t)0x7f44479f, (q31_t)0x7f439b8b,
+ (q31_t)0x7f42ef28, (q31_t)0x7f424277, (q31_t)0x7f419577, (q31_t)0x7f40e828, (q31_t)0x7f403a8b, (q31_t)0x7f3f8ca0, (q31_t)0x7f3ede66, (q31_t)0x7f3e2fde,
+ (q31_t)0x7f3d8107, (q31_t)0x7f3cd1e2, (q31_t)0x7f3c226e, (q31_t)0x7f3b72ab, (q31_t)0x7f3ac29b, (q31_t)0x7f3a123b, (q31_t)0x7f39618e, (q31_t)0x7f38b091,
+ (q31_t)0x7f37ff47, (q31_t)0x7f374dad, (q31_t)0x7f369bc6, (q31_t)0x7f35e990, (q31_t)0x7f35370b, (q31_t)0x7f348438, (q31_t)0x7f33d116, (q31_t)0x7f331da6,
+ (q31_t)0x7f3269e8, (q31_t)0x7f31b5db, (q31_t)0x7f31017f, (q31_t)0x7f304cd6, (q31_t)0x7f2f97dd, (q31_t)0x7f2ee296, (q31_t)0x7f2e2d01, (q31_t)0x7f2d771e,
+ (q31_t)0x7f2cc0eb, (q31_t)0x7f2c0a6b, (q31_t)0x7f2b539c, (q31_t)0x7f2a9c7e, (q31_t)0x7f29e512, (q31_t)0x7f292d58, (q31_t)0x7f28754f, (q31_t)0x7f27bcf8,
+ (q31_t)0x7f270452, (q31_t)0x7f264b5e, (q31_t)0x7f25921c, (q31_t)0x7f24d88b, (q31_t)0x7f241eab, (q31_t)0x7f23647e, (q31_t)0x7f22aa01, (q31_t)0x7f21ef37,
+ (q31_t)0x7f21341e, (q31_t)0x7f2078b6, (q31_t)0x7f1fbd00, (q31_t)0x7f1f00fc, (q31_t)0x7f1e44a9, (q31_t)0x7f1d8808, (q31_t)0x7f1ccb18, (q31_t)0x7f1c0dda,
+ (q31_t)0x7f1b504e, (q31_t)0x7f1a9273, (q31_t)0x7f19d44a, (q31_t)0x7f1915d2, (q31_t)0x7f18570c, (q31_t)0x7f1797f8, (q31_t)0x7f16d895, (q31_t)0x7f1618e4,
+ (q31_t)0x7f1558e4, (q31_t)0x7f149896, (q31_t)0x7f13d7fa, (q31_t)0x7f13170f, (q31_t)0x7f1255d6, (q31_t)0x7f11944f, (q31_t)0x7f10d279, (q31_t)0x7f101054,
+ (q31_t)0x7f0f4de2, (q31_t)0x7f0e8b21, (q31_t)0x7f0dc811, (q31_t)0x7f0d04b3, (q31_t)0x7f0c4107, (q31_t)0x7f0b7d0d, (q31_t)0x7f0ab8c4, (q31_t)0x7f09f42d,
+ (q31_t)0x7f092f47, (q31_t)0x7f086a13, (q31_t)0x7f07a491, (q31_t)0x7f06dec0, (q31_t)0x7f0618a1, (q31_t)0x7f055233, (q31_t)0x7f048b78, (q31_t)0x7f03c46d,
+ (q31_t)0x7f02fd15, (q31_t)0x7f02356e, (q31_t)0x7f016d79, (q31_t)0x7f00a535, (q31_t)0x7effdca4, (q31_t)0x7eff13c3, (q31_t)0x7efe4a95, (q31_t)0x7efd8118,
+ (q31_t)0x7efcb74d, (q31_t)0x7efbed33, (q31_t)0x7efb22cb, (q31_t)0x7efa5815, (q31_t)0x7ef98d11, (q31_t)0x7ef8c1be, (q31_t)0x7ef7f61d, (q31_t)0x7ef72a2d,
+ (q31_t)0x7ef65def, (q31_t)0x7ef59163, (q31_t)0x7ef4c489, (q31_t)0x7ef3f760, (q31_t)0x7ef329e9, (q31_t)0x7ef25c24, (q31_t)0x7ef18e10, (q31_t)0x7ef0bfae,
+ (q31_t)0x7eeff0fe, (q31_t)0x7eef21ff, (q31_t)0x7eee52b2, (q31_t)0x7eed8317, (q31_t)0x7eecb32d, (q31_t)0x7eebe2f6, (q31_t)0x7eeb1270, (q31_t)0x7eea419b,
+ (q31_t)0x7ee97079, (q31_t)0x7ee89f08, (q31_t)0x7ee7cd49, (q31_t)0x7ee6fb3b, (q31_t)0x7ee628df, (q31_t)0x7ee55635, (q31_t)0x7ee4833d, (q31_t)0x7ee3aff6,
+ (q31_t)0x7ee2dc61, (q31_t)0x7ee2087e, (q31_t)0x7ee1344d, (q31_t)0x7ee05fcd, (q31_t)0x7edf8aff, (q31_t)0x7edeb5e3, (q31_t)0x7edde079, (q31_t)0x7edd0ac0,
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+ (q31_t)0x7ed57980, (q31_t)0x7ed4a0b9, (q31_t)0x7ed3c7a3, (q31_t)0x7ed2ee40, (q31_t)0x7ed2148e, (q31_t)0x7ed13a8e, (q31_t)0x7ed0603f, (q31_t)0x7ecf85a3,
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+ (q31_t)0x7db9de52, (q31_t)0x7db8b053, (q31_t)0x7db78207, (q31_t)0x7db6536d, (q31_t)0x7db52485, (q31_t)0x7db3f550, (q31_t)0x7db2c5cd, (q31_t)0x7db195fd,
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+ (q31_t)0x7d9d3ad6, (q31_t)0x7d9c0592, (q31_t)0x7d9ad001, (q31_t)0x7d999a23, (q31_t)0x7d9863f7, (q31_t)0x7d972d7e, (q31_t)0x7d95f6b7, (q31_t)0x7d94bfa3,
+ (q31_t)0x7d938841, (q31_t)0x7d925092, (q31_t)0x7d911896, (q31_t)0x7d8fe04c, (q31_t)0x7d8ea7b4, (q31_t)0x7d8d6ecf, (q31_t)0x7d8c359d, (q31_t)0x7d8afc1d,
+ (q31_t)0x7d89c250, (q31_t)0x7d888835, (q31_t)0x7d874dcd, (q31_t)0x7d861317, (q31_t)0x7d84d814, (q31_t)0x7d839cc4, (q31_t)0x7d826126, (q31_t)0x7d81253a,
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+ (q31_t)0x7d38da51, (q31_t)0x7d378ce0, (q31_t)0x7d363f23, (q31_t)0x7d34f118, (q31_t)0x7d33a2bf, (q31_t)0x7d32541a, (q31_t)0x7d310527, (q31_t)0x7d2fb5e7,
+ (q31_t)0x7d2e665a, (q31_t)0x7d2d1680, (q31_t)0x7d2bc659, (q31_t)0x7d2a75e4, (q31_t)0x7d292522, (q31_t)0x7d27d413, (q31_t)0x7d2682b6, (q31_t)0x7d25310d,
+ (q31_t)0x7d23df16, (q31_t)0x7d228cd2, (q31_t)0x7d213a41, (q31_t)0x7d1fe762, (q31_t)0x7d1e9437, (q31_t)0x7d1d40be, (q31_t)0x7d1becf8, (q31_t)0x7d1a98e5,
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+ (q31_t)0x7d0e96aa, (q31_t)0x7d0d3f93, (q31_t)0x7d0be82f, (q31_t)0x7d0a907e, (q31_t)0x7d093880, (q31_t)0x7d07e035, (q31_t)0x7d06879d, (q31_t)0x7d052eb8,
+ (q31_t)0x7d03d585, (q31_t)0x7d027c05, (q31_t)0x7d012239, (q31_t)0x7cffc81f, (q31_t)0x7cfe6db8, (q31_t)0x7cfd1304, (q31_t)0x7cfbb803, (q31_t)0x7cfa5cb4,
+ (q31_t)0x7cf90119, (q31_t)0x7cf7a531, (q31_t)0x7cf648fb, (q31_t)0x7cf4ec79, (q31_t)0x7cf38fa9, (q31_t)0x7cf2328c, (q31_t)0x7cf0d522, (q31_t)0x7cef776b,
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+ (q31_t)0x7ce31e72, (q31_t)0x7ce1bdb8, (q31_t)0x7ce05cb2, (q31_t)0x7cdefb5e, (q31_t)0x7cdd99be, (q31_t)0x7cdc37d0, (q31_t)0x7cdad596, (q31_t)0x7cd9730e,
+ (q31_t)0x7cd8103a, (q31_t)0x7cd6ad18, (q31_t)0x7cd549aa, (q31_t)0x7cd3e5ee, (q31_t)0x7cd281e5, (q31_t)0x7cd11d90, (q31_t)0x7ccfb8ed, (q31_t)0x7cce53fe,
+ (q31_t)0x7ccceec1, (q31_t)0x7ccb8937, (q31_t)0x7cca2361, (q31_t)0x7cc8bd3d, (q31_t)0x7cc756cd, (q31_t)0x7cc5f010, (q31_t)0x7cc48905, (q31_t)0x7cc321ae,
+ (q31_t)0x7cc1ba09, (q31_t)0x7cc05218, (q31_t)0x7cbee9da, (q31_t)0x7cbd814f, (q31_t)0x7cbc1877, (q31_t)0x7cbaaf51, (q31_t)0x7cb945df, (q31_t)0x7cb7dc20,
+ (q31_t)0x7cb67215, (q31_t)0x7cb507bc, (q31_t)0x7cb39d16, (q31_t)0x7cb23223, (q31_t)0x7cb0c6e4, (q31_t)0x7caf5b57, (q31_t)0x7cadef7e, (q31_t)0x7cac8358,
+ (q31_t)0x7cab16e4, (q31_t)0x7ca9aa24, (q31_t)0x7ca83d17, (q31_t)0x7ca6cfbd, (q31_t)0x7ca56216, (q31_t)0x7ca3f423, (q31_t)0x7ca285e2, (q31_t)0x7ca11755,
+ (q31_t)0x7c9fa87a, (q31_t)0x7c9e3953, (q31_t)0x7c9cc9df, (q31_t)0x7c9b5a1e, (q31_t)0x7c99ea10, (q31_t)0x7c9879b6, (q31_t)0x7c97090e, (q31_t)0x7c95981a,
+ (q31_t)0x7c9426d8, (q31_t)0x7c92b54a, (q31_t)0x7c91436f, (q31_t)0x7c8fd148, (q31_t)0x7c8e5ed3, (q31_t)0x7c8cec12, (q31_t)0x7c8b7903, (q31_t)0x7c8a05a8,
+ (q31_t)0x7c889200, (q31_t)0x7c871e0c, (q31_t)0x7c85a9ca, (q31_t)0x7c84353c, (q31_t)0x7c82c060, (q31_t)0x7c814b39, (q31_t)0x7c7fd5c4, (q31_t)0x7c7e6002,
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+ (q31_t)0x7b698ccd, (q31_t)0x7b67e1e0, (q31_t)0x7b6636a7, (q31_t)0x7b648b22, (q31_t)0x7b62df51, (q31_t)0x7b613334, (q31_t)0x7b5f86ca, (q31_t)0x7b5dda15,
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+ (q31_t)0x7b25f004, (q31_t)0x7b243936, (q31_t)0x7b22821b, (q31_t)0x7b20cab5, (q31_t)0x7b1f1302, (q31_t)0x7b1d5b04, (q31_t)0x7b1ba2b9, (q31_t)0x7b19ea23,
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+ (q31_t)0x7b0a5f82, (q31_t)0x7b08a3f5, (q31_t)0x7b06e81b, (q31_t)0x7b052bf6, (q31_t)0x7b036f85, (q31_t)0x7b01b2c8, (q31_t)0x7afff5bf, (q31_t)0x7afe386a,
+ (q31_t)0x7afc7aca, (q31_t)0x7afabcdd, (q31_t)0x7af8fea5, (q31_t)0x7af74021, (q31_t)0x7af58151, (q31_t)0x7af3c235, (q31_t)0x7af202cd, (q31_t)0x7af0431a,
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+ (q31_t)0x7ae07876, (q31_t)0x7adeb5cc, (q31_t)0x7adcf2d6, (q31_t)0x7adb2f95, (q31_t)0x7ad96c08, (q31_t)0x7ad7a82f, (q31_t)0x7ad5e40a, (q31_t)0x7ad41f9a,
+ (q31_t)0x7ad25ade, (q31_t)0x7ad095d6, (q31_t)0x7aced082, (q31_t)0x7acd0ae3, (q31_t)0x7acb44f8, (q31_t)0x7ac97ec1, (q31_t)0x7ac7b83e, (q31_t)0x7ac5f170,
+ (q31_t)0x7ac42a55, (q31_t)0x7ac262ef, (q31_t)0x7ac09b3e, (q31_t)0x7abed341, (q31_t)0x7abd0af7, (q31_t)0x7abb4263, (q31_t)0x7ab97982, (q31_t)0x7ab7b056,
+ (q31_t)0x7ab5e6de, (q31_t)0x7ab41d1b, (q31_t)0x7ab2530b, (q31_t)0x7ab088b0, (q31_t)0x7aaebe0a, (q31_t)0x7aacf318, (q31_t)0x7aab27da, (q31_t)0x7aa95c50,
+ (q31_t)0x7aa7907b, (q31_t)0x7aa5c45a, (q31_t)0x7aa3f7ed, (q31_t)0x7aa22b35, (q31_t)0x7aa05e31, (q31_t)0x7a9e90e1, (q31_t)0x7a9cc346, (q31_t)0x7a9af55f,
+ (q31_t)0x7a99272d, (q31_t)0x7a9758af, (q31_t)0x7a9589e5, (q31_t)0x7a93bad0, (q31_t)0x7a91eb6f, (q31_t)0x7a901bc2, (q31_t)0x7a8e4bca, (q31_t)0x7a8c7b87,
+ (q31_t)0x7a8aaaf7, (q31_t)0x7a88da1c, (q31_t)0x7a8708f6, (q31_t)0x7a853784, (q31_t)0x7a8365c6, (q31_t)0x7a8193bd, (q31_t)0x7a7fc168, (q31_t)0x7a7deec8,
+ (q31_t)0x7a7c1bdc, (q31_t)0x7a7a48a4, (q31_t)0x7a787521, (q31_t)0x7a76a153, (q31_t)0x7a74cd38, (q31_t)0x7a72f8d3, (q31_t)0x7a712422, (q31_t)0x7a6f4f25,
+ (q31_t)0x7a6d79dd, (q31_t)0x7a6ba449, (q31_t)0x7a69ce6a, (q31_t)0x7a67f83f, (q31_t)0x7a6621c9, (q31_t)0x7a644b07, (q31_t)0x7a6273fa, (q31_t)0x7a609ca1,
+ (q31_t)0x7a5ec4fc, (q31_t)0x7a5ced0d, (q31_t)0x7a5b14d1, (q31_t)0x7a593c4b, (q31_t)0x7a576379, (q31_t)0x7a558a5b, (q31_t)0x7a53b0f2, (q31_t)0x7a51d73d,
+ (q31_t)0x7a4ffd3d, (q31_t)0x7a4e22f2, (q31_t)0x7a4c485b, (q31_t)0x7a4a6d78, (q31_t)0x7a48924b, (q31_t)0x7a46b6d1, (q31_t)0x7a44db0d, (q31_t)0x7a42fefd,
+ (q31_t)0x7a4122a1, (q31_t)0x7a3f45fa, (q31_t)0x7a3d6908, (q31_t)0x7a3b8bca, (q31_t)0x7a39ae41, (q31_t)0x7a37d06d, (q31_t)0x7a35f24d, (q31_t)0x7a3413e2,
+ (q31_t)0x7a32352b, (q31_t)0x7a305629, (q31_t)0x7a2e76dc, (q31_t)0x7a2c9743, (q31_t)0x7a2ab75f, (q31_t)0x7a28d72f, (q31_t)0x7a26f6b4, (q31_t)0x7a2515ee,
+ (q31_t)0x7a2334dd, (q31_t)0x7a215380, (q31_t)0x7a1f71d7, (q31_t)0x7a1d8fe4, (q31_t)0x7a1bada5, (q31_t)0x7a19cb1b, (q31_t)0x7a17e845, (q31_t)0x7a160524,
+ (q31_t)0x7a1421b8, (q31_t)0x7a123e01, (q31_t)0x7a1059fe, (q31_t)0x7a0e75b0, (q31_t)0x7a0c9117, (q31_t)0x7a0aac32, (q31_t)0x7a08c702, (q31_t)0x7a06e187,
+ (q31_t)0x7a04fbc1, (q31_t)0x7a0315af, (q31_t)0x7a012f52, (q31_t)0x79ff48aa, (q31_t)0x79fd61b6, (q31_t)0x79fb7a77, (q31_t)0x79f992ed, (q31_t)0x79f7ab18,
+ (q31_t)0x79f5c2f8, (q31_t)0x79f3da8c, (q31_t)0x79f1f1d5, (q31_t)0x79f008d3, (q31_t)0x79ee1f86, (q31_t)0x79ec35ed, (q31_t)0x79ea4c09, (q31_t)0x79e861da,
+ (q31_t)0x79e67760, (q31_t)0x79e48c9b, (q31_t)0x79e2a18a, (q31_t)0x79e0b62e, (q31_t)0x79deca87, (q31_t)0x79dcde95, (q31_t)0x79daf258, (q31_t)0x79d905d0,
+ (q31_t)0x79d718fc, (q31_t)0x79d52bdd, (q31_t)0x79d33e73, (q31_t)0x79d150be, (q31_t)0x79cf62be, (q31_t)0x79cd7473, (q31_t)0x79cb85dc, (q31_t)0x79c996fb,
+ (q31_t)0x79c7a7ce, (q31_t)0x79c5b856, (q31_t)0x79c3c893, (q31_t)0x79c1d885, (q31_t)0x79bfe82c, (q31_t)0x79bdf788, (q31_t)0x79bc0698, (q31_t)0x79ba155e,
+ (q31_t)0x79b823d8, (q31_t)0x79b63207, (q31_t)0x79b43fec, (q31_t)0x79b24d85, (q31_t)0x79b05ad3, (q31_t)0x79ae67d6, (q31_t)0x79ac748e, (q31_t)0x79aa80fb,
+ (q31_t)0x79a88d1d, (q31_t)0x79a698f4, (q31_t)0x79a4a480, (q31_t)0x79a2afc1, (q31_t)0x79a0bab6, (q31_t)0x799ec561, (q31_t)0x799ccfc1, (q31_t)0x799ad9d5,
+ (q31_t)0x7998e39f, (q31_t)0x7996ed1e, (q31_t)0x7994f651, (q31_t)0x7992ff3a, (q31_t)0x799107d8, (q31_t)0x798f102a, (q31_t)0x798d1832, (q31_t)0x798b1fef,
+ (q31_t)0x79892761, (q31_t)0x79872e87, (q31_t)0x79853563, (q31_t)0x79833bf4, (q31_t)0x7981423a, (q31_t)0x797f4835, (q31_t)0x797d4de5, (q31_t)0x797b534a,
+ (q31_t)0x79795864, (q31_t)0x79775d33, (q31_t)0x797561b8, (q31_t)0x797365f1, (q31_t)0x797169df, (q31_t)0x796f6d83, (q31_t)0x796d70dc, (q31_t)0x796b73e9,
+ (q31_t)0x796976ac, (q31_t)0x79677924, (q31_t)0x79657b51, (q31_t)0x79637d33, (q31_t)0x79617eca, (q31_t)0x795f8017, (q31_t)0x795d8118, (q31_t)0x795b81cf,
+ (q31_t)0x7959823b, (q31_t)0x7957825c, (q31_t)0x79558232, (q31_t)0x795381bd, (q31_t)0x795180fe, (q31_t)0x794f7ff3, (q31_t)0x794d7e9e, (q31_t)0x794b7cfe,
+ (q31_t)0x79497b13, (q31_t)0x794778dd, (q31_t)0x7945765d, (q31_t)0x79437391, (q31_t)0x7941707b, (q31_t)0x793f6d1a, (q31_t)0x793d696f, (q31_t)0x793b6578,
+ (q31_t)0x79396137, (q31_t)0x79375cab, (q31_t)0x793557d4, (q31_t)0x793352b2, (q31_t)0x79314d46, (q31_t)0x792f478f, (q31_t)0x792d418d, (q31_t)0x792b3b40,
+ (q31_t)0x792934a9, (q31_t)0x79272dc7, (q31_t)0x7925269a, (q31_t)0x79231f22, (q31_t)0x79211760, (q31_t)0x791f0f53, (q31_t)0x791d06fb, (q31_t)0x791afe59,
+ (q31_t)0x7918f56c, (q31_t)0x7916ec34, (q31_t)0x7914e2b2, (q31_t)0x7912d8e4, (q31_t)0x7910cecc, (q31_t)0x790ec46a, (q31_t)0x790cb9bd, (q31_t)0x790aaec5,
+ (q31_t)0x7908a382, (q31_t)0x790697f5, (q31_t)0x79048c1d, (q31_t)0x79027ffa, (q31_t)0x7900738d, (q31_t)0x78fe66d5, (q31_t)0x78fc59d3, (q31_t)0x78fa4c86,
+ (q31_t)0x78f83eee, (q31_t)0x78f6310c, (q31_t)0x78f422df, (q31_t)0x78f21467, (q31_t)0x78f005a5, (q31_t)0x78edf698, (q31_t)0x78ebe741, (q31_t)0x78e9d79f,
+ (q31_t)0x78e7c7b2, (q31_t)0x78e5b77b, (q31_t)0x78e3a6f9, (q31_t)0x78e1962d, (q31_t)0x78df8516, (q31_t)0x78dd73b5, (q31_t)0x78db6209, (q31_t)0x78d95012,
+ (q31_t)0x78d73dd1, (q31_t)0x78d52b46, (q31_t)0x78d31870, (q31_t)0x78d1054f, (q31_t)0x78cef1e4, (q31_t)0x78ccde2e, (q31_t)0x78caca2e, (q31_t)0x78c8b5e3,
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+ (q31_t)0x70218cc6, (q31_t)0x701e84e9, (q31_t)0x701b7cc8, (q31_t)0x70187461, (q31_t)0x70156bb5, (q31_t)0x701262c4, (q31_t)0x700f598e, (q31_t)0x700c5013,
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+ (q31_t)0x6e48d633, (q31_t)0x6e45a59c, (q31_t)0x6e4274c1, (q31_t)0x6e3f43a1, (q31_t)0x6e3c123e, (q31_t)0x6e38e096, (q31_t)0x6e35aeab, (q31_t)0x6e327c7b,
+ (q31_t)0x6e2f4a08, (q31_t)0x6e2c1750, (q31_t)0x6e28e455, (q31_t)0x6e25b115, (q31_t)0x6e227d92, (q31_t)0x6e1f49cb, (q31_t)0x6e1c15c0, (q31_t)0x6e18e171,
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+ (q31_t)0x6dc86f95, (q31_t)0x6dc53462, (q31_t)0x6dc1f8ec, (q31_t)0x6dbebd33, (q31_t)0x6dbb8135, (q31_t)0x6db844f4, (q31_t)0x6db5086f, (q31_t)0x6db1cba7,
+ (q31_t)0x6dae8e9b, (q31_t)0x6dab514b, (q31_t)0x6da813b8, (q31_t)0x6da4d5e1, (q31_t)0x6da197c6, (q31_t)0x6d9e5968, (q31_t)0x6d9b1ac6, (q31_t)0x6d97dbe0,
+ (q31_t)0x6d949cb7, (q31_t)0x6d915d4a, (q31_t)0x6d8e1d9a, (q31_t)0x6d8adda6, (q31_t)0x6d879d6e, (q31_t)0x6d845cf3, (q31_t)0x6d811c35, (q31_t)0x6d7ddb33,
+ (q31_t)0x6d7a99ed, (q31_t)0x6d775864, (q31_t)0x6d741697, (q31_t)0x6d70d487, (q31_t)0x6d6d9233, (q31_t)0x6d6a4f9c, (q31_t)0x6d670cc1, (q31_t)0x6d63c9a3,
+ (q31_t)0x6d608641, (q31_t)0x6d5d429c, (q31_t)0x6d59feb3, (q31_t)0x6d56ba87, (q31_t)0x6d537617, (q31_t)0x6d503164, (q31_t)0x6d4cec6e, (q31_t)0x6d49a734,
+ (q31_t)0x6d4661b7, (q31_t)0x6d431bf6, (q31_t)0x6d3fd5f2, (q31_t)0x6d3c8fab, (q31_t)0x6d394920, (q31_t)0x6d360252, (q31_t)0x6d32bb40, (q31_t)0x6d2f73eb,
+ (q31_t)0x6d2c2c53, (q31_t)0x6d28e477, (q31_t)0x6d259c58, (q31_t)0x6d2253f6, (q31_t)0x6d1f0b50, (q31_t)0x6d1bc267, (q31_t)0x6d18793b, (q31_t)0x6d152fcc,
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+ (q31_t)0x64898b22, (q31_t)0x6485a778, (q31_t)0x6481c390, (q31_t)0x647ddf6a, (q31_t)0x6479fb06, (q31_t)0x64761664, (q31_t)0x64723184, (q31_t)0x646e4c66,
+ (q31_t)0x646a670a, (q31_t)0x64668170, (q31_t)0x64629b98, (q31_t)0x645eb582, (q31_t)0x645acf2e, (q31_t)0x6456e89d, (q31_t)0x645301cd, (q31_t)0x644f1ac0,
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+ (q31_t)0x63ed3bfd, (q31_t)0x63e94eaa, (q31_t)0x63e5611a, (q31_t)0x63e1734b, (q31_t)0x63dd853f, (q31_t)0x63d996f6, (q31_t)0x63d5a86f, (q31_t)0x63d1b9aa,
+ (q31_t)0x63cdcaa8, (q31_t)0x63c9db68, (q31_t)0x63c5ebeb, (q31_t)0x63c1fc30, (q31_t)0x63be0c37, (q31_t)0x63ba1c01, (q31_t)0x63b62b8e, (q31_t)0x63b23add,
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+ (q31_t)0x638eb9d5, (q31_t)0x638ac6be, (q31_t)0x6386d369, (q31_t)0x6382dfd6, (q31_t)0x637eec07, (q31_t)0x637af7fa, (q31_t)0x637703af, (q31_t)0x63730f27,
+ (q31_t)0x636f1a62, (q31_t)0x636b2560, (q31_t)0x63673020, (q31_t)0x63633aa3, (q31_t)0x635f44e8, (q31_t)0x635b4ef0, (q31_t)0x635758bb, (q31_t)0x63536249,
+ (q31_t)0x634f6b99, (q31_t)0x634b74ad, (q31_t)0x63477d82, (q31_t)0x6343861b, (q31_t)0x633f8e76, (q31_t)0x633b9695, (q31_t)0x63379e76, (q31_t)0x6333a619,
+ (q31_t)0x632fad80, (q31_t)0x632bb4a9, (q31_t)0x6327bb96, (q31_t)0x6323c245, (q31_t)0x631fc8b7, (q31_t)0x631bceeb, (q31_t)0x6317d4e3, (q31_t)0x6313da9e,
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+ (q31_t)0x61eefa6b, (q31_t)0x61eaee95, (q31_t)0x61e6e282, (q31_t)0x61e2d633, (q31_t)0x61dec9a8, (q31_t)0x61dabce0, (q31_t)0x61d6afdd, (q31_t)0x61d2a29c,
+ (q31_t)0x61ce9520, (q31_t)0x61ca8767, (q31_t)0x61c67971, (q31_t)0x61c26b40, (q31_t)0x61be5cd2, (q31_t)0x61ba4e28, (q31_t)0x61b63f41, (q31_t)0x61b2301e,
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+ (q31_t)0x610af94f, (q31_t)0x6106e051, (q31_t)0x6102c718, (q31_t)0x60feada3, (q31_t)0x60fa93f2, (q31_t)0x60f67a05, (q31_t)0x60f25fdd, (q31_t)0x60ee4579,
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+ (q31_t)0x60a8611b, (q31_t)0x60a44284, (q31_t)0x60a023b1, (q31_t)0x609c04a3, (q31_t)0x6097e559, (q31_t)0x6093c5d3, (q31_t)0x608fa612, (q31_t)0x608b8616,
+ (q31_t)0x608765dd, (q31_t)0x6083456a, (q31_t)0x607f24ba, (q31_t)0x607b03d0, (q31_t)0x6076e2a9, (q31_t)0x6072c148, (q31_t)0x606e9faa, (q31_t)0x606a7dd2,
+ (q31_t)0x60665bbd, (q31_t)0x6062396e, (q31_t)0x605e16e2, (q31_t)0x6059f41c, (q31_t)0x6055d11a, (q31_t)0x6051addc, (q31_t)0x604d8a63, (q31_t)0x604966af,
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+ (q31_t)0x60241ae9, (q31_t)0x601ff4e3, (q31_t)0x601bcea2, (q31_t)0x6017a826, (q31_t)0x6013816e, (q31_t)0x600f5a7b, (q31_t)0x600b334d, (q31_t)0x60070be4,
+ (q31_t)0x6002e43f, (q31_t)0x5ffebc5f, (q31_t)0x5ffa9444, (q31_t)0x5ff66bee, (q31_t)0x5ff2435d, (q31_t)0x5fee1a90, (q31_t)0x5fe9f188, (q31_t)0x5fe5c845,
+ (q31_t)0x5fe19ec7, (q31_t)0x5fdd750e, (q31_t)0x5fd94b19, (q31_t)0x5fd520ea, (q31_t)0x5fd0f67f, (q31_t)0x5fcccbd9, (q31_t)0x5fc8a0f8, (q31_t)0x5fc475dc,
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+ (q31_t)0x5f7d75bb, (q31_t)0x5f794679, (q31_t)0x5f7516fd, (q31_t)0x5f70e745, (q31_t)0x5f6cb753, (q31_t)0x5f688726, (q31_t)0x5f6456be, (q31_t)0x5f60261b,
+ (q31_t)0x5f5bf53d, (q31_t)0x5f57c424, (q31_t)0x5f5392d1, (q31_t)0x5f4f6143, (q31_t)0x5f4b2f7a, (q31_t)0x5f46fd76, (q31_t)0x5f42cb37, (q31_t)0x5f3e98be,
+ (q31_t)0x5f3a660a, (q31_t)0x5f36331b, (q31_t)0x5f31fff1, (q31_t)0x5f2dcc8d, (q31_t)0x5f2998ee, (q31_t)0x5f256515, (q31_t)0x5f213100, (q31_t)0x5f1cfcb1,
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+ (q31_t)0x5ef71b9b, (q31_t)0x5ef2e501, (q31_t)0x5eeeae2d, (q31_t)0x5eea771f, (q31_t)0x5ee63fd6, (q31_t)0x5ee20853, (q31_t)0x5eddd094, (q31_t)0x5ed9989c,
+ (q31_t)0x5ed56069, (q31_t)0x5ed127fb, (q31_t)0x5eccef53, (q31_t)0x5ec8b671, (q31_t)0x5ec47d54, (q31_t)0x5ec043fc, (q31_t)0x5ebc0a6a, (q31_t)0x5eb7d09e,
+ (q31_t)0x5eb39697, (q31_t)0x5eaf5c56, (q31_t)0x5eab21da, (q31_t)0x5ea6e724, (q31_t)0x5ea2ac34, (q31_t)0x5e9e7109, (q31_t)0x5e9a35a4, (q31_t)0x5e95fa05,
+ (q31_t)0x5e91be2b, (q31_t)0x5e8d8217, (q31_t)0x5e8945c8, (q31_t)0x5e85093f, (q31_t)0x5e80cc7c, (q31_t)0x5e7c8f7f, (q31_t)0x5e785247, (q31_t)0x5e7414d5,
+ (q31_t)0x5e6fd729, (q31_t)0x5e6b9943, (q31_t)0x5e675b22, (q31_t)0x5e631cc7, (q31_t)0x5e5ede32, (q31_t)0x5e5a9f62, (q31_t)0x5e566059, (q31_t)0x5e522115,
+ (q31_t)0x5e4de197, (q31_t)0x5e49a1df, (q31_t)0x5e4561ed, (q31_t)0x5e4121c0, (q31_t)0x5e3ce15a, (q31_t)0x5e38a0b9, (q31_t)0x5e345fde, (q31_t)0x5e301ec9,
+ (q31_t)0x5e2bdd7a, (q31_t)0x5e279bf1, (q31_t)0x5e235a2e, (q31_t)0x5e1f1830, (q31_t)0x5e1ad5f9, (q31_t)0x5e169388, (q31_t)0x5e1250dc, (q31_t)0x5e0e0df7,
+ (q31_t)0x5e09cad7, (q31_t)0x5e05877e, (q31_t)0x5e0143ea, (q31_t)0x5dfd001d, (q31_t)0x5df8bc15, (q31_t)0x5df477d4, (q31_t)0x5df03359, (q31_t)0x5debeea3,
+ (q31_t)0x5de7a9b4, (q31_t)0x5de3648b, (q31_t)0x5ddf1f28, (q31_t)0x5ddad98b, (q31_t)0x5dd693b4, (q31_t)0x5dd24da3, (q31_t)0x5dce0759, (q31_t)0x5dc9c0d4,
+ (q31_t)0x5dc57a16, (q31_t)0x5dc1331d, (q31_t)0x5dbcebeb, (q31_t)0x5db8a480, (q31_t)0x5db45cda, (q31_t)0x5db014fa, (q31_t)0x5dabcce1, (q31_t)0x5da7848e,
+ (q31_t)0x5da33c01, (q31_t)0x5d9ef33b, (q31_t)0x5d9aaa3a, (q31_t)0x5d966100, (q31_t)0x5d92178d, (q31_t)0x5d8dcddf, (q31_t)0x5d8983f8, (q31_t)0x5d8539d7,
+ (q31_t)0x5d80ef7c, (q31_t)0x5d7ca4e8, (q31_t)0x5d785a1a, (q31_t)0x5d740f12, (q31_t)0x5d6fc3d1, (q31_t)0x5d6b7856, (q31_t)0x5d672ca2, (q31_t)0x5d62e0b4,
+ (q31_t)0x5d5e948c, (q31_t)0x5d5a482a, (q31_t)0x5d55fb90, (q31_t)0x5d51aebb, (q31_t)0x5d4d61ad, (q31_t)0x5d491465, (q31_t)0x5d44c6e4, (q31_t)0x5d40792a,
+ (q31_t)0x5d3c2b35, (q31_t)0x5d37dd08, (q31_t)0x5d338ea0, (q31_t)0x5d2f4000, (q31_t)0x5d2af125, (q31_t)0x5d26a212, (q31_t)0x5d2252c5, (q31_t)0x5d1e033e,
+ (q31_t)0x5d19b37e, (q31_t)0x5d156385, (q31_t)0x5d111352, (q31_t)0x5d0cc2e5, (q31_t)0x5d087240, (q31_t)0x5d042161, (q31_t)0x5cffd048, (q31_t)0x5cfb7ef7,
+ (q31_t)0x5cf72d6b, (q31_t)0x5cf2dba7, (q31_t)0x5cee89a9, (q31_t)0x5cea3772, (q31_t)0x5ce5e501, (q31_t)0x5ce19258, (q31_t)0x5cdd3f75, (q31_t)0x5cd8ec58,
+ (q31_t)0x5cd49903, (q31_t)0x5cd04574, (q31_t)0x5ccbf1ab, (q31_t)0x5cc79daa, (q31_t)0x5cc3496f, (q31_t)0x5cbef4fc, (q31_t)0x5cbaa04f, (q31_t)0x5cb64b68,
+ (q31_t)0x5cb1f649, (q31_t)0x5cada0f0, (q31_t)0x5ca94b5e, (q31_t)0x5ca4f594, (q31_t)0x5ca09f8f, (q31_t)0x5c9c4952, (q31_t)0x5c97f2dc, (q31_t)0x5c939c2c,
+ (q31_t)0x5c8f4544, (q31_t)0x5c8aee22, (q31_t)0x5c8696c7, (q31_t)0x5c823f34, (q31_t)0x5c7de767, (q31_t)0x5c798f61, (q31_t)0x5c753722, (q31_t)0x5c70deaa,
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+ (q31_t)0x528d1b9b, (q31_t)0x52884e3a, (q31_t)0x528380a7, (q31_t)0x527eb2e0, (q31_t)0x5279e4e7, (q31_t)0x527516bb, (q31_t)0x5270485c, (q31_t)0x526b79ca,
+ (q31_t)0x5266ab06, (q31_t)0x5261dc0e, (q31_t)0x525d0ce4, (q31_t)0x52583d87, (q31_t)0x52536df7, (q31_t)0x524e9e34, (q31_t)0x5249ce3f, (q31_t)0x5244fe17,
+ (q31_t)0x52402dbc, (q31_t)0x523b5d2e, (q31_t)0x52368c6e, (q31_t)0x5231bb7b, (q31_t)0x522cea55, (q31_t)0x522818fc, (q31_t)0x52234771, (q31_t)0x521e75b3,
+ (q31_t)0x5219a3c3, (q31_t)0x5214d1a0, (q31_t)0x520fff4a, (q31_t)0x520b2cc2, (q31_t)0x52065a07, (q31_t)0x52018719, (q31_t)0x51fcb3f9, (q31_t)0x51f7e0a6,
+ (q31_t)0x51f30d21, (q31_t)0x51ee3969, (q31_t)0x51e9657e, (q31_t)0x51e49162, (q31_t)0x51dfbd12, (q31_t)0x51dae890, (q31_t)0x51d613dc, (q31_t)0x51d13ef5,
+ (q31_t)0x51cc69db, (q31_t)0x51c79490, (q31_t)0x51c2bf11, (q31_t)0x51bde960, (q31_t)0x51b9137d, (q31_t)0x51b43d68, (q31_t)0x51af6720, (q31_t)0x51aa90a5,
+ (q31_t)0x51a5b9f9, (q31_t)0x51a0e31a, (q31_t)0x519c0c08, (q31_t)0x519734c4, (q31_t)0x51925d4e, (q31_t)0x518d85a6, (q31_t)0x5188adcb, (q31_t)0x5183d5be,
+ (q31_t)0x517efd7f, (q31_t)0x517a250d, (q31_t)0x51754c69, (q31_t)0x51707393, (q31_t)0x516b9a8b, (q31_t)0x5166c150, (q31_t)0x5161e7e4, (q31_t)0x515d0e45,
+ (q31_t)0x51583473, (q31_t)0x51535a70, (q31_t)0x514e803b, (q31_t)0x5149a5d3, (q31_t)0x5144cb39, (q31_t)0x513ff06d, (q31_t)0x513b156f, (q31_t)0x51363a3f,
+ (q31_t)0x51315edd, (q31_t)0x512c8348, (q31_t)0x5127a782, (q31_t)0x5122cb8a, (q31_t)0x511def5f, (q31_t)0x51191302, (q31_t)0x51143674, (q31_t)0x510f59b3,
+ (q31_t)0x510a7cc1, (q31_t)0x51059f9c, (q31_t)0x5100c246, (q31_t)0x50fbe4bd, (q31_t)0x50f70703, (q31_t)0x50f22916, (q31_t)0x50ed4af8, (q31_t)0x50e86ca8,
+ (q31_t)0x50e38e25, (q31_t)0x50deaf71, (q31_t)0x50d9d08b, (q31_t)0x50d4f173, (q31_t)0x50d0122a, (q31_t)0x50cb32ae, (q31_t)0x50c65301, (q31_t)0x50c17322,
+ (q31_t)0x50bc9311, (q31_t)0x50b7b2ce, (q31_t)0x50b2d259, (q31_t)0x50adf1b3, (q31_t)0x50a910db, (q31_t)0x50a42fd1, (q31_t)0x509f4e95, (q31_t)0x509a6d28,
+ (q31_t)0x50958b88, (q31_t)0x5090a9b8, (q31_t)0x508bc7b5, (q31_t)0x5086e581, (q31_t)0x5082031b, (q31_t)0x507d2083, (q31_t)0x50783dba, (q31_t)0x50735abf,
+ (q31_t)0x506e7793, (q31_t)0x50699435, (q31_t)0x5064b0a5, (q31_t)0x505fcce4, (q31_t)0x505ae8f1, (q31_t)0x505604cd, (q31_t)0x50512077, (q31_t)0x504c3bef,
+ (q31_t)0x50475736, (q31_t)0x5042724c, (q31_t)0x503d8d30, (q31_t)0x5038a7e2, (q31_t)0x5033c263, (q31_t)0x502edcb2, (q31_t)0x5029f6d1, (q31_t)0x502510bd,
+ (q31_t)0x50202a78, (q31_t)0x501b4402, (q31_t)0x50165d5a, (q31_t)0x50117681, (q31_t)0x500c8f77, (q31_t)0x5007a83b, (q31_t)0x5002c0cd, (q31_t)0x4ffdd92f,
+ (q31_t)0x4ff8f15f, (q31_t)0x4ff4095e, (q31_t)0x4fef212b, (q31_t)0x4fea38c7, (q31_t)0x4fe55032, (q31_t)0x4fe0676c, (q31_t)0x4fdb7e74, (q31_t)0x4fd6954b,
+ (q31_t)0x4fd1abf0, (q31_t)0x4fccc265, (q31_t)0x4fc7d8a8, (q31_t)0x4fc2eeba, (q31_t)0x4fbe049b, (q31_t)0x4fb91a4b, (q31_t)0x4fb42fc9, (q31_t)0x4faf4517,
+ (q31_t)0x4faa5a33, (q31_t)0x4fa56f1e, (q31_t)0x4fa083d8, (q31_t)0x4f9b9861, (q31_t)0x4f96acb8, (q31_t)0x4f91c0df, (q31_t)0x4f8cd4d4, (q31_t)0x4f87e899,
+ (q31_t)0x4f82fc2c, (q31_t)0x4f7e0f8f, (q31_t)0x4f7922c0, (q31_t)0x4f7435c0, (q31_t)0x4f6f488f, (q31_t)0x4f6a5b2e, (q31_t)0x4f656d9b, (q31_t)0x4f607fd7,
+ (q31_t)0x4f5b91e3, (q31_t)0x4f56a3bd, (q31_t)0x4f51b566, (q31_t)0x4f4cc6df, (q31_t)0x4f47d827, (q31_t)0x4f42e93d, (q31_t)0x4f3dfa23, (q31_t)0x4f390ad8,
+ (q31_t)0x4f341b5c, (q31_t)0x4f2f2baf, (q31_t)0x4f2a3bd2, (q31_t)0x4f254bc3, (q31_t)0x4f205b84, (q31_t)0x4f1b6b14, (q31_t)0x4f167a73, (q31_t)0x4f1189a1,
+ (q31_t)0x4f0c989f, (q31_t)0x4f07a76b, (q31_t)0x4f02b608, (q31_t)0x4efdc473, (q31_t)0x4ef8d2ad, (q31_t)0x4ef3e0b7, (q31_t)0x4eeeee90, (q31_t)0x4ee9fc39,
+ (q31_t)0x4ee509b1, (q31_t)0x4ee016f8, (q31_t)0x4edb240e, (q31_t)0x4ed630f4, (q31_t)0x4ed13da9, (q31_t)0x4ecc4a2e, (q31_t)0x4ec75682, (q31_t)0x4ec262a5,
+ (q31_t)0x4ebd6e98, (q31_t)0x4eb87a5a, (q31_t)0x4eb385ec, (q31_t)0x4eae914d, (q31_t)0x4ea99c7d, (q31_t)0x4ea4a77d, (q31_t)0x4e9fb24d, (q31_t)0x4e9abcec,
+ (q31_t)0x4e95c75b, (q31_t)0x4e90d199, (q31_t)0x4e8bdba6, (q31_t)0x4e86e583, (q31_t)0x4e81ef30, (q31_t)0x4e7cf8ac, (q31_t)0x4e7801f8, (q31_t)0x4e730b14,
+ (q31_t)0x4e6e13ff, (q31_t)0x4e691cba, (q31_t)0x4e642544, (q31_t)0x4e5f2d9e, (q31_t)0x4e5a35c7, (q31_t)0x4e553dc1, (q31_t)0x4e50458a, (q31_t)0x4e4b4d22,
+ (q31_t)0x4e46548b, (q31_t)0x4e415bc3, (q31_t)0x4e3c62cb, (q31_t)0x4e3769a2, (q31_t)0x4e32704a, (q31_t)0x4e2d76c1, (q31_t)0x4e287d08, (q31_t)0x4e23831e,
+ (q31_t)0x4e1e8905, (q31_t)0x4e198ebb, (q31_t)0x4e149441, (q31_t)0x4e0f9997, (q31_t)0x4e0a9ebd, (q31_t)0x4e05a3b2, (q31_t)0x4e00a878, (q31_t)0x4dfbad0d,
+ (q31_t)0x4df6b173, (q31_t)0x4df1b5a8, (q31_t)0x4decb9ad, (q31_t)0x4de7bd82, (q31_t)0x4de2c127, (q31_t)0x4dddc49c, (q31_t)0x4dd8c7e1, (q31_t)0x4dd3caf6,
+ (q31_t)0x4dcecdda, (q31_t)0x4dc9d08f, (q31_t)0x4dc4d314, (q31_t)0x4dbfd569, (q31_t)0x4dbad78e, (q31_t)0x4db5d983, (q31_t)0x4db0db48, (q31_t)0x4dabdcdd,
+ (q31_t)0x4da6de43, (q31_t)0x4da1df78, (q31_t)0x4d9ce07d, (q31_t)0x4d97e153, (q31_t)0x4d92e1f9, (q31_t)0x4d8de26f, (q31_t)0x4d88e2b5, (q31_t)0x4d83e2cb,
+ (q31_t)0x4d7ee2b1, (q31_t)0x4d79e268, (q31_t)0x4d74e1ef, (q31_t)0x4d6fe146, (q31_t)0x4d6ae06d, (q31_t)0x4d65df64, (q31_t)0x4d60de2c, (q31_t)0x4d5bdcc4,
+ (q31_t)0x4d56db2d, (q31_t)0x4d51d965, (q31_t)0x4d4cd76e, (q31_t)0x4d47d547, (q31_t)0x4d42d2f1, (q31_t)0x4d3dd06b, (q31_t)0x4d38cdb5, (q31_t)0x4d33cad0,
+ (q31_t)0x4d2ec7bb, (q31_t)0x4d29c476, (q31_t)0x4d24c102, (q31_t)0x4d1fbd5e, (q31_t)0x4d1ab98b, (q31_t)0x4d15b588, (q31_t)0x4d10b155, (q31_t)0x4d0bacf3,
+ (q31_t)0x4d06a862, (q31_t)0x4d01a3a0, (q31_t)0x4cfc9eb0, (q31_t)0x4cf79990, (q31_t)0x4cf29440, (q31_t)0x4ced8ec1, (q31_t)0x4ce88913, (q31_t)0x4ce38335,
+ (q31_t)0x4cde7d28, (q31_t)0x4cd976eb, (q31_t)0x4cd4707f, (q31_t)0x4ccf69e3, (q31_t)0x4cca6318, (q31_t)0x4cc55c1e, (q31_t)0x4cc054f4, (q31_t)0x4cbb4d9b,
+ (q31_t)0x4cb64613, (q31_t)0x4cb13e5b, (q31_t)0x4cac3674, (q31_t)0x4ca72e5e, (q31_t)0x4ca22619, (q31_t)0x4c9d1da4, (q31_t)0x4c981500, (q31_t)0x4c930c2d,
+ (q31_t)0x4c8e032a, (q31_t)0x4c88f9f8, (q31_t)0x4c83f097, (q31_t)0x4c7ee707, (q31_t)0x4c79dd48, (q31_t)0x4c74d359, (q31_t)0x4c6fc93b, (q31_t)0x4c6abeef,
+ (q31_t)0x4c65b473, (q31_t)0x4c60a9c8, (q31_t)0x4c5b9eed, (q31_t)0x4c5693e4, (q31_t)0x4c5188ac, (q31_t)0x4c4c7d44, (q31_t)0x4c4771ae, (q31_t)0x4c4265e8,
+ (q31_t)0x4c3d59f3, (q31_t)0x4c384dd0, (q31_t)0x4c33417d, (q31_t)0x4c2e34fb, (q31_t)0x4c29284b, (q31_t)0x4c241b6b, (q31_t)0x4c1f0e5c, (q31_t)0x4c1a011f,
+ (q31_t)0x4c14f3b2, (q31_t)0x4c0fe617, (q31_t)0x4c0ad84c, (q31_t)0x4c05ca53, (q31_t)0x4c00bc2b, (q31_t)0x4bfbadd4, (q31_t)0x4bf69f4e, (q31_t)0x4bf19099,
+ (q31_t)0x4bec81b5, (q31_t)0x4be772a3, (q31_t)0x4be26362, (q31_t)0x4bdd53f2, (q31_t)0x4bd84453, (q31_t)0x4bd33485, (q31_t)0x4bce2488, (q31_t)0x4bc9145d,
+ (q31_t)0x4bc40403, (q31_t)0x4bbef37b, (q31_t)0x4bb9e2c3, (q31_t)0x4bb4d1dd, (q31_t)0x4bafc0c8, (q31_t)0x4baaaf85, (q31_t)0x4ba59e12, (q31_t)0x4ba08c72,
+ (q31_t)0x4b9b7aa2, (q31_t)0x4b9668a4, (q31_t)0x4b915677, (q31_t)0x4b8c441c, (q31_t)0x4b873192, (q31_t)0x4b821ed9, (q31_t)0x4b7d0bf2, (q31_t)0x4b77f8dc,
+ (q31_t)0x4b72e598, (q31_t)0x4b6dd225, (q31_t)0x4b68be84, (q31_t)0x4b63aab4, (q31_t)0x4b5e96b6, (q31_t)0x4b598289, (q31_t)0x4b546e2d, (q31_t)0x4b4f59a4,
+ (q31_t)0x4b4a44eb, (q31_t)0x4b453005, (q31_t)0x4b401aef, (q31_t)0x4b3b05ac, (q31_t)0x4b35f03a, (q31_t)0x4b30da9a, (q31_t)0x4b2bc4cb, (q31_t)0x4b26aece,
+ (q31_t)0x4b2198a2, (q31_t)0x4b1c8248, (q31_t)0x4b176bc0, (q31_t)0x4b12550a, (q31_t)0x4b0d3e25, (q31_t)0x4b082712, (q31_t)0x4b030fd1, (q31_t)0x4afdf861,
+ (q31_t)0x4af8e0c3, (q31_t)0x4af3c8f7, (q31_t)0x4aeeb0fd, (q31_t)0x4ae998d4, (q31_t)0x4ae4807d, (q31_t)0x4adf67f8, (q31_t)0x4ada4f45, (q31_t)0x4ad53664,
+ (q31_t)0x4ad01d54, (q31_t)0x4acb0417, (q31_t)0x4ac5eaab, (q31_t)0x4ac0d111, (q31_t)0x4abbb749, (q31_t)0x4ab69d53, (q31_t)0x4ab1832f, (q31_t)0x4aac68dc,
+ (q31_t)0x4aa74e5c, (q31_t)0x4aa233ae, (q31_t)0x4a9d18d1, (q31_t)0x4a97fdc7, (q31_t)0x4a92e28e, (q31_t)0x4a8dc728, (q31_t)0x4a88ab93, (q31_t)0x4a838fd1,
+ (q31_t)0x4a7e73e0, (q31_t)0x4a7957c2, (q31_t)0x4a743b76, (q31_t)0x4a6f1efc, (q31_t)0x4a6a0253, (q31_t)0x4a64e57d, (q31_t)0x4a5fc879, (q31_t)0x4a5aab48,
+ (q31_t)0x4a558de8, (q31_t)0x4a50705a, (q31_t)0x4a4b529f, (q31_t)0x4a4634b6, (q31_t)0x4a41169f, (q31_t)0x4a3bf85a, (q31_t)0x4a36d9e7, (q31_t)0x4a31bb47,
+ (q31_t)0x4a2c9c79, (q31_t)0x4a277d7d, (q31_t)0x4a225e53, (q31_t)0x4a1d3efc, (q31_t)0x4a181f77, (q31_t)0x4a12ffc4, (q31_t)0x4a0ddfe4, (q31_t)0x4a08bfd5,
+ (q31_t)0x4a039f9a, (q31_t)0x49fe7f30, (q31_t)0x49f95e99, (q31_t)0x49f43dd4, (q31_t)0x49ef1ce2, (q31_t)0x49e9fbc2, (q31_t)0x49e4da74, (q31_t)0x49dfb8f9,
+ (q31_t)0x49da9750, (q31_t)0x49d5757a, (q31_t)0x49d05376, (q31_t)0x49cb3145, (q31_t)0x49c60ee6, (q31_t)0x49c0ec59, (q31_t)0x49bbc9a0, (q31_t)0x49b6a6b8,
+ (q31_t)0x49b183a3, (q31_t)0x49ac6061, (q31_t)0x49a73cf1, (q31_t)0x49a21954, (q31_t)0x499cf589, (q31_t)0x4997d191, (q31_t)0x4992ad6c, (q31_t)0x498d8919,
+ (q31_t)0x49886499, (q31_t)0x49833fec, (q31_t)0x497e1b11, (q31_t)0x4978f609, (q31_t)0x4973d0d3, (q31_t)0x496eab70, (q31_t)0x496985e0, (q31_t)0x49646023,
+ (q31_t)0x495f3a38, (q31_t)0x495a1420, (q31_t)0x4954eddb, (q31_t)0x494fc768, (q31_t)0x494aa0c9, (q31_t)0x494579fc, (q31_t)0x49405302, (q31_t)0x493b2bdb,
+ (q31_t)0x49360486, (q31_t)0x4930dd05, (q31_t)0x492bb556, (q31_t)0x49268d7a, (q31_t)0x49216571, (q31_t)0x491c3d3b, (q31_t)0x491714d8, (q31_t)0x4911ec47,
+ (q31_t)0x490cc38a, (q31_t)0x49079aa0, (q31_t)0x49027188, (q31_t)0x48fd4844, (q31_t)0x48f81ed2, (q31_t)0x48f2f534, (q31_t)0x48edcb68, (q31_t)0x48e8a170,
+ (q31_t)0x48e3774a, (q31_t)0x48de4cf8, (q31_t)0x48d92278, (q31_t)0x48d3f7cc, (q31_t)0x48ceccf3, (q31_t)0x48c9a1ed, (q31_t)0x48c476b9, (q31_t)0x48bf4b59,
+ (q31_t)0x48ba1fcd, (q31_t)0x48b4f413, (q31_t)0x48afc82c, (q31_t)0x48aa9c19, (q31_t)0x48a56fd9, (q31_t)0x48a0436c, (q31_t)0x489b16d2, (q31_t)0x4895ea0b,
+ (q31_t)0x4890bd18, (q31_t)0x488b8ff8, (q31_t)0x488662ab, (q31_t)0x48813531, (q31_t)0x487c078b, (q31_t)0x4876d9b8, (q31_t)0x4871abb8, (q31_t)0x486c7d8c,
+ (q31_t)0x48674f33, (q31_t)0x486220ad, (q31_t)0x485cf1fa, (q31_t)0x4857c31b, (q31_t)0x48529410, (q31_t)0x484d64d7, (q31_t)0x48483572, (q31_t)0x484305e1,
+ (q31_t)0x483dd623, (q31_t)0x4838a638, (q31_t)0x48337621, (q31_t)0x482e45dd, (q31_t)0x4829156d, (q31_t)0x4823e4d0, (q31_t)0x481eb407, (q31_t)0x48198311,
+ (q31_t)0x481451ef, (q31_t)0x480f20a0, (q31_t)0x4809ef25, (q31_t)0x4804bd7e, (q31_t)0x47ff8baa, (q31_t)0x47fa59a9, (q31_t)0x47f5277d, (q31_t)0x47eff523,
+ (q31_t)0x47eac29e, (q31_t)0x47e58fec, (q31_t)0x47e05d0e, (q31_t)0x47db2a03, (q31_t)0x47d5f6cc, (q31_t)0x47d0c369, (q31_t)0x47cb8fd9, (q31_t)0x47c65c1d,
+ (q31_t)0x47c12835, (q31_t)0x47bbf421, (q31_t)0x47b6bfe0, (q31_t)0x47b18b74, (q31_t)0x47ac56da, (q31_t)0x47a72215, (q31_t)0x47a1ed24, (q31_t)0x479cb806,
+ (q31_t)0x479782bc, (q31_t)0x47924d46, (q31_t)0x478d17a4, (q31_t)0x4787e1d6, (q31_t)0x4782abdb, (q31_t)0x477d75b5, (q31_t)0x47783f62, (q31_t)0x477308e3,
+ (q31_t)0x476dd239, (q31_t)0x47689b62, (q31_t)0x4763645f, (q31_t)0x475e2d30, (q31_t)0x4758f5d5, (q31_t)0x4753be4e, (q31_t)0x474e869b, (q31_t)0x47494ebc,
+ (q31_t)0x474416b1, (q31_t)0x473ede7a, (q31_t)0x4739a617, (q31_t)0x47346d89, (q31_t)0x472f34ce, (q31_t)0x4729fbe7, (q31_t)0x4724c2d5, (q31_t)0x471f8996,
+ (q31_t)0x471a502c, (q31_t)0x47151696, (q31_t)0x470fdcd4, (q31_t)0x470aa2e6, (q31_t)0x470568cd, (q31_t)0x47002e87, (q31_t)0x46faf416, (q31_t)0x46f5b979,
+ (q31_t)0x46f07eb0, (q31_t)0x46eb43bc, (q31_t)0x46e6089b, (q31_t)0x46e0cd4f, (q31_t)0x46db91d8, (q31_t)0x46d65634, (q31_t)0x46d11a65, (q31_t)0x46cbde6a,
+ (q31_t)0x46c6a244, (q31_t)0x46c165f1, (q31_t)0x46bc2974, (q31_t)0x46b6ecca, (q31_t)0x46b1aff5, (q31_t)0x46ac72f4, (q31_t)0x46a735c8, (q31_t)0x46a1f870,
+ (q31_t)0x469cbaed, (q31_t)0x46977d3e, (q31_t)0x46923f63, (q31_t)0x468d015d, (q31_t)0x4687c32c, (q31_t)0x468284cf, (q31_t)0x467d4646, (q31_t)0x46780792,
+ (q31_t)0x4672c8b3, (q31_t)0x466d89a8, (q31_t)0x46684a71, (q31_t)0x46630b0f, (q31_t)0x465dcb82, (q31_t)0x46588bc9, (q31_t)0x46534be5, (q31_t)0x464e0bd6,
+ (q31_t)0x4648cb9b, (q31_t)0x46438b35, (q31_t)0x463e4aa3, (q31_t)0x463909e7, (q31_t)0x4633c8fe, (q31_t)0x462e87eb, (q31_t)0x462946ac, (q31_t)0x46240542,
+ (q31_t)0x461ec3ad, (q31_t)0x461981ec, (q31_t)0x46144001, (q31_t)0x460efde9, (q31_t)0x4609bba7, (q31_t)0x4604793a, (q31_t)0x45ff36a1, (q31_t)0x45f9f3dd,
+ (q31_t)0x45f4b0ee, (q31_t)0x45ef6dd4, (q31_t)0x45ea2a8f, (q31_t)0x45e4e71f, (q31_t)0x45dfa383, (q31_t)0x45da5fbc, (q31_t)0x45d51bcb, (q31_t)0x45cfd7ae,
+ (q31_t)0x45ca9366, (q31_t)0x45c54ef3, (q31_t)0x45c00a55, (q31_t)0x45bac58c, (q31_t)0x45b58098, (q31_t)0x45b03b79, (q31_t)0x45aaf630, (q31_t)0x45a5b0bb,
+ (q31_t)0x45a06b1b, (q31_t)0x459b2550, (q31_t)0x4595df5a, (q31_t)0x45909939, (q31_t)0x458b52ee, (q31_t)0x45860c77, (q31_t)0x4580c5d6, (q31_t)0x457b7f0a,
+ (q31_t)0x45763813, (q31_t)0x4570f0f1, (q31_t)0x456ba9a4, (q31_t)0x4566622c, (q31_t)0x45611a8a, (q31_t)0x455bd2bc, (q31_t)0x45568ac4, (q31_t)0x455142a2,
+ (q31_t)0x454bfa54, (q31_t)0x4546b1dc, (q31_t)0x45416939, (q31_t)0x453c206b, (q31_t)0x4536d773, (q31_t)0x45318e4f, (q31_t)0x452c4502, (q31_t)0x4526fb89,
+ (q31_t)0x4521b1e6, (q31_t)0x451c6818, (q31_t)0x45171e20, (q31_t)0x4511d3fd, (q31_t)0x450c89af, (q31_t)0x45073f37, (q31_t)0x4501f494, (q31_t)0x44fca9c6,
+ (q31_t)0x44f75ecf, (q31_t)0x44f213ac, (q31_t)0x44ecc85f, (q31_t)0x44e77ce7, (q31_t)0x44e23145, (q31_t)0x44dce579, (q31_t)0x44d79982, (q31_t)0x44d24d60,
+ (q31_t)0x44cd0114, (q31_t)0x44c7b49e, (q31_t)0x44c267fd, (q31_t)0x44bd1b32, (q31_t)0x44b7ce3c, (q31_t)0x44b2811c, (q31_t)0x44ad33d2, (q31_t)0x44a7e65d,
+ (q31_t)0x44a298be, (q31_t)0x449d4af5, (q31_t)0x4497fd01, (q31_t)0x4492aee3, (q31_t)0x448d609b, (q31_t)0x44881228, (q31_t)0x4482c38b, (q31_t)0x447d74c4,
+ (q31_t)0x447825d2, (q31_t)0x4472d6b7, (q31_t)0x446d8771, (q31_t)0x44683801, (q31_t)0x4462e866, (q31_t)0x445d98a2, (q31_t)0x445848b3, (q31_t)0x4452f89b,
+ (q31_t)0x444da858, (q31_t)0x444857ea, (q31_t)0x44430753, (q31_t)0x443db692, (q31_t)0x443865a7, (q31_t)0x44331491, (q31_t)0x442dc351, (q31_t)0x442871e8,
+ (q31_t)0x44232054, (q31_t)0x441dce96, (q31_t)0x44187caf, (q31_t)0x44132a9d, (q31_t)0x440dd861, (q31_t)0x440885fc, (q31_t)0x4403336c, (q31_t)0x43fde0b2,
+ (q31_t)0x43f88dcf, (q31_t)0x43f33ac1, (q31_t)0x43ede78a, (q31_t)0x43e89429, (q31_t)0x43e3409d, (q31_t)0x43ddece8, (q31_t)0x43d8990a, (q31_t)0x43d34501,
+ (q31_t)0x43cdf0ce, (q31_t)0x43c89c72, (q31_t)0x43c347eb, (q31_t)0x43bdf33b, (q31_t)0x43b89e62, (q31_t)0x43b3495e, (q31_t)0x43adf431, (q31_t)0x43a89ed9,
+ (q31_t)0x43a34959, (q31_t)0x439df3ae, (q31_t)0x43989dda, (q31_t)0x439347dc, (q31_t)0x438df1b4, (q31_t)0x43889b63, (q31_t)0x438344e8, (q31_t)0x437dee43,
+ (q31_t)0x43789775, (q31_t)0x4373407d, (q31_t)0x436de95b, (q31_t)0x43689210, (q31_t)0x43633a9c, (q31_t)0x435de2fd, (q31_t)0x43588b36, (q31_t)0x43533344,
+ (q31_t)0x434ddb29, (q31_t)0x434882e5, (q31_t)0x43432a77, (q31_t)0x433dd1e0, (q31_t)0x4338791f, (q31_t)0x43332035, (q31_t)0x432dc721, (q31_t)0x43286de4,
+ (q31_t)0x4323147d, (q31_t)0x431dbaed, (q31_t)0x43186133, (q31_t)0x43130751, (q31_t)0x430dad44, (q31_t)0x4308530f, (q31_t)0x4302f8b0, (q31_t)0x42fd9e28,
+ (q31_t)0x42f84376, (q31_t)0x42f2e89b, (q31_t)0x42ed8d97, (q31_t)0x42e83269, (q31_t)0x42e2d713, (q31_t)0x42dd7b93, (q31_t)0x42d81fe9, (q31_t)0x42d2c417,
+ (q31_t)0x42cd681b, (q31_t)0x42c80bf6, (q31_t)0x42c2afa8, (q31_t)0x42bd5331, (q31_t)0x42b7f690, (q31_t)0x42b299c7, (q31_t)0x42ad3cd4, (q31_t)0x42a7dfb8,
+ (q31_t)0x42a28273, (q31_t)0x429d2505, (q31_t)0x4297c76e, (q31_t)0x429269ae, (q31_t)0x428d0bc4, (q31_t)0x4287adb2, (q31_t)0x42824f76, (q31_t)0x427cf112,
+ (q31_t)0x42779285, (q31_t)0x427233ce, (q31_t)0x426cd4ef, (q31_t)0x426775e6, (q31_t)0x426216b5, (q31_t)0x425cb75a, (q31_t)0x425757d7, (q31_t)0x4251f82b,
+ (q31_t)0x424c9856, (q31_t)0x42473858, (q31_t)0x4241d831, (q31_t)0x423c77e1, (q31_t)0x42371769, (q31_t)0x4231b6c7, (q31_t)0x422c55fd, (q31_t)0x4226f50a,
+ (q31_t)0x422193ee, (q31_t)0x421c32a9, (q31_t)0x4216d13c, (q31_t)0x42116fa5, (q31_t)0x420c0de6, (q31_t)0x4206abfe, (q31_t)0x420149ee, (q31_t)0x41fbe7b5,
+ (q31_t)0x41f68553, (q31_t)0x41f122c8, (q31_t)0x41ebc015, (q31_t)0x41e65d39, (q31_t)0x41e0fa35, (q31_t)0x41db9707, (q31_t)0x41d633b1, (q31_t)0x41d0d033,
+ (q31_t)0x41cb6c8c, (q31_t)0x41c608bc, (q31_t)0x41c0a4c4, (q31_t)0x41bb40a3, (q31_t)0x41b5dc5a, (q31_t)0x41b077e8, (q31_t)0x41ab134e, (q31_t)0x41a5ae8b,
+ (q31_t)0x41a049a0, (q31_t)0x419ae48c, (q31_t)0x41957f4f, (q31_t)0x419019eb, (q31_t)0x418ab45d, (q31_t)0x41854ea8, (q31_t)0x417fe8ca, (q31_t)0x417a82c3,
+ (q31_t)0x41751c94, (q31_t)0x416fb63d, (q31_t)0x416a4fbd, (q31_t)0x4164e916, (q31_t)0x415f8245, (q31_t)0x415a1b4d, (q31_t)0x4154b42c, (q31_t)0x414f4ce2,
+ (q31_t)0x4149e571, (q31_t)0x41447dd7, (q31_t)0x413f1615, (q31_t)0x4139ae2b, (q31_t)0x41344618, (q31_t)0x412edddd, (q31_t)0x4129757b, (q31_t)0x41240cef,
+ (q31_t)0x411ea43c, (q31_t)0x41193b61, (q31_t)0x4113d25d, (q31_t)0x410e6931, (q31_t)0x4108ffdd, (q31_t)0x41039661, (q31_t)0x40fe2cbd, (q31_t)0x40f8c2f1,
+ (q31_t)0x40f358fc, (q31_t)0x40edeee0, (q31_t)0x40e8849b, (q31_t)0x40e31a2f, (q31_t)0x40ddaf9b, (q31_t)0x40d844de, (q31_t)0x40d2d9f9, (q31_t)0x40cd6eed,
+ (q31_t)0x40c803b8, (q31_t)0x40c2985c, (q31_t)0x40bd2cd8, (q31_t)0x40b7c12b, (q31_t)0x40b25557, (q31_t)0x40ace95b, (q31_t)0x40a77d37, (q31_t)0x40a210eb,
+ (q31_t)0x409ca477, (q31_t)0x409737dc, (q31_t)0x4091cb18, (q31_t)0x408c5e2d, (q31_t)0x4086f11a, (q31_t)0x408183df, (q31_t)0x407c167c, (q31_t)0x4076a8f1,
+ (q31_t)0x40713b3f, (q31_t)0x406bcd65, (q31_t)0x40665f63, (q31_t)0x4060f13a, (q31_t)0x405b82e9, (q31_t)0x40561470, (q31_t)0x4050a5cf, (q31_t)0x404b3707,
+ (q31_t)0x4045c817, (q31_t)0x404058ff, (q31_t)0x403ae9c0, (q31_t)0x40357a59, (q31_t)0x40300acb, (q31_t)0x402a9b15, (q31_t)0x40252b37, (q31_t)0x401fbb32,
+ (q31_t)0x401a4b05, (q31_t)0x4014dab1, (q31_t)0x400f6a35, (q31_t)0x4009f992, (q31_t)0x400488c7, (q31_t)0x3fff17d5, (q31_t)0x3ff9a6bb, (q31_t)0x3ff4357a,
+ (q31_t)0x3feec411, (q31_t)0x3fe95281, (q31_t)0x3fe3e0c9, (q31_t)0x3fde6eeb, (q31_t)0x3fd8fce4, (q31_t)0x3fd38ab6, (q31_t)0x3fce1861, (q31_t)0x3fc8a5e5,
+ (q31_t)0x3fc33341, (q31_t)0x3fbdc076, (q31_t)0x3fb84d83, (q31_t)0x3fb2da6a, (q31_t)0x3fad6729, (q31_t)0x3fa7f3c0, (q31_t)0x3fa28031, (q31_t)0x3f9d0c7a,
+ (q31_t)0x3f97989c, (q31_t)0x3f922496, (q31_t)0x3f8cb06a, (q31_t)0x3f873c16, (q31_t)0x3f81c79b, (q31_t)0x3f7c52f9, (q31_t)0x3f76de30, (q31_t)0x3f71693f,
+ (q31_t)0x3f6bf428, (q31_t)0x3f667ee9, (q31_t)0x3f610983, (q31_t)0x3f5b93f6, (q31_t)0x3f561e42, (q31_t)0x3f50a867, (q31_t)0x3f4b3265, (q31_t)0x3f45bc3c,
+ (q31_t)0x3f4045ec, (q31_t)0x3f3acf75, (q31_t)0x3f3558d7, (q31_t)0x3f2fe211, (q31_t)0x3f2a6b25, (q31_t)0x3f24f412, (q31_t)0x3f1f7cd8, (q31_t)0x3f1a0577,
+ (q31_t)0x3f148def, (q31_t)0x3f0f1640, (q31_t)0x3f099e6b, (q31_t)0x3f04266e, (q31_t)0x3efeae4a, (q31_t)0x3ef93600, (q31_t)0x3ef3bd8f, (q31_t)0x3eee44f7,
+ (q31_t)0x3ee8cc38, (q31_t)0x3ee35352, (q31_t)0x3eddda46, (q31_t)0x3ed86113, (q31_t)0x3ed2e7b9, (q31_t)0x3ecd6e38, (q31_t)0x3ec7f491, (q31_t)0x3ec27ac2,
+ (q31_t)0x3ebd00cd, (q31_t)0x3eb786b2, (q31_t)0x3eb20c6f, (q31_t)0x3eac9206, (q31_t)0x3ea71777, (q31_t)0x3ea19cc1, (q31_t)0x3e9c21e4, (q31_t)0x3e96a6e0,
+ (q31_t)0x3e912bb6, (q31_t)0x3e8bb065, (q31_t)0x3e8634ee, (q31_t)0x3e80b950, (q31_t)0x3e7b3d8c, (q31_t)0x3e75c1a1, (q31_t)0x3e70458f, (q31_t)0x3e6ac957,
+ (q31_t)0x3e654cf8, (q31_t)0x3e5fd073, (q31_t)0x3e5a53c8, (q31_t)0x3e54d6f6, (q31_t)0x3e4f59fe, (q31_t)0x3e49dcdf, (q31_t)0x3e445f99, (q31_t)0x3e3ee22e,
+ (q31_t)0x3e39649c, (q31_t)0x3e33e6e3, (q31_t)0x3e2e6904, (q31_t)0x3e28eaff, (q31_t)0x3e236cd4, (q31_t)0x3e1dee82, (q31_t)0x3e18700a, (q31_t)0x3e12f16b,
+ (q31_t)0x3e0d72a6, (q31_t)0x3e07f3bb, (q31_t)0x3e0274aa, (q31_t)0x3dfcf572, (q31_t)0x3df77615, (q31_t)0x3df1f691, (q31_t)0x3dec76e6, (q31_t)0x3de6f716,
+ (q31_t)0x3de1771f, (q31_t)0x3ddbf703, (q31_t)0x3dd676c0, (q31_t)0x3dd0f656, (q31_t)0x3dcb75c7, (q31_t)0x3dc5f512, (q31_t)0x3dc07436, (q31_t)0x3dbaf335,
+ (q31_t)0x3db5720d, (q31_t)0x3daff0c0, (q31_t)0x3daa6f4c, (q31_t)0x3da4edb2, (q31_t)0x3d9f6bf2, (q31_t)0x3d99ea0d, (q31_t)0x3d946801, (q31_t)0x3d8ee5cf,
+ (q31_t)0x3d896377, (q31_t)0x3d83e0f9, (q31_t)0x3d7e5e56, (q31_t)0x3d78db8c, (q31_t)0x3d73589d, (q31_t)0x3d6dd587, (q31_t)0x3d68524c, (q31_t)0x3d62ceeb,
+ (q31_t)0x3d5d4b64, (q31_t)0x3d57c7b7, (q31_t)0x3d5243e4, (q31_t)0x3d4cbfeb, (q31_t)0x3d473bcd, (q31_t)0x3d41b789, (q31_t)0x3d3c331f, (q31_t)0x3d36ae8f,
+ (q31_t)0x3d3129da, (q31_t)0x3d2ba4fe, (q31_t)0x3d261ffd, (q31_t)0x3d209ad7, (q31_t)0x3d1b158a, (q31_t)0x3d159018, (q31_t)0x3d100a80, (q31_t)0x3d0a84c3,
+ (q31_t)0x3d04fee0, (q31_t)0x3cff78d7, (q31_t)0x3cf9f2a9, (q31_t)0x3cf46c55, (q31_t)0x3ceee5db, (q31_t)0x3ce95f3c, (q31_t)0x3ce3d877, (q31_t)0x3cde518d,
+ (q31_t)0x3cd8ca7d, (q31_t)0x3cd34347, (q31_t)0x3ccdbbed, (q31_t)0x3cc8346c, (q31_t)0x3cc2acc6, (q31_t)0x3cbd24fb, (q31_t)0x3cb79d0a, (q31_t)0x3cb214f4,
+ (q31_t)0x3cac8cb8, (q31_t)0x3ca70457, (q31_t)0x3ca17bd0, (q31_t)0x3c9bf324, (q31_t)0x3c966a53, (q31_t)0x3c90e15c, (q31_t)0x3c8b5840, (q31_t)0x3c85cefe,
+ (q31_t)0x3c804598, (q31_t)0x3c7abc0c, (q31_t)0x3c75325a, (q31_t)0x3c6fa883, (q31_t)0x3c6a1e87, (q31_t)0x3c649466, (q31_t)0x3c5f0a20, (q31_t)0x3c597fb4,
+ (q31_t)0x3c53f523, (q31_t)0x3c4e6a6d, (q31_t)0x3c48df91, (q31_t)0x3c435491, (q31_t)0x3c3dc96b, (q31_t)0x3c383e20, (q31_t)0x3c32b2b0, (q31_t)0x3c2d271b,
+ (q31_t)0x3c279b61, (q31_t)0x3c220f81, (q31_t)0x3c1c837d, (q31_t)0x3c16f753, (q31_t)0x3c116b04, (q31_t)0x3c0bde91, (q31_t)0x3c0651f8, (q31_t)0x3c00c53a,
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+ (q31_t)0x3b75d7d7, (q31_t)0x3b70475c, (q31_t)0x3b6ab6bb, (q31_t)0x3b6525f6, (q31_t)0x3b5f950c, (q31_t)0x3b5a03fe, (q31_t)0x3b5472cb, (q31_t)0x3b4ee173,
+ (q31_t)0x3b494ff7, (q31_t)0x3b43be57, (q31_t)0x3b3e2c91, (q31_t)0x3b389aa8, (q31_t)0x3b330899, (q31_t)0x3b2d7666, (q31_t)0x3b27e40f, (q31_t)0x3b225193,
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+ (q31_t)0x3a3d61a9, (q31_t)0x3a37c93d, (q31_t)0x3a3230ad, (q31_t)0x3a2c97f9, (q31_t)0x3a26ff21, (q31_t)0x3a216625, (q31_t)0x3a1bcd05, (q31_t)0x3a1633c1,
+ (q31_t)0x3a109a5a, (q31_t)0x3a0b00cf, (q31_t)0x3a056720, (q31_t)0x39ffcd4d, (q31_t)0x39fa3356, (q31_t)0x39f4993c, (q31_t)0x39eefefe, (q31_t)0x39e9649c,
+ (q31_t)0x39e3ca17, (q31_t)0x39de2f6d, (q31_t)0x39d894a0, (q31_t)0x39d2f9b0, (q31_t)0x39cd5e9b, (q31_t)0x39c7c363, (q31_t)0x39c22808, (q31_t)0x39bc8c89,
+ (q31_t)0x39b6f0e6, (q31_t)0x39b1551f, (q31_t)0x39abb935, (q31_t)0x39a61d28, (q31_t)0x39a080f6, (q31_t)0x399ae4a2, (q31_t)0x39954829, (q31_t)0x398fab8e,
+ (q31_t)0x398a0ece, (q31_t)0x398471ec, (q31_t)0x397ed4e5, (q31_t)0x397937bc, (q31_t)0x39739a6e, (q31_t)0x396dfcfe, (q31_t)0x39685f6a, (q31_t)0x3962c1b2,
+ (q31_t)0x395d23d7, (q31_t)0x395785d9, (q31_t)0x3951e7b8, (q31_t)0x394c4973, (q31_t)0x3946ab0a, (q31_t)0x39410c7f, (q31_t)0x393b6dd0, (q31_t)0x3935cefd,
+ (q31_t)0x39303008, (q31_t)0x392a90ef, (q31_t)0x3924f1b3, (q31_t)0x391f5254, (q31_t)0x3919b2d1, (q31_t)0x3914132b, (q31_t)0x390e7362, (q31_t)0x3908d376,
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+ (q31_t)0x376cc959, (q31_t)0x37671f66, (q31_t)0x37617551, (q31_t)0x375bcb1a, (q31_t)0x375620c1, (q31_t)0x37507645, (q31_t)0x374acba7, (q31_t)0x374520e7,
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+ (q31_t)0x35a60bf6, (q31_t)0x35a05781, (q31_t)0x359aa2ea, (q31_t)0x3594ee32, (q31_t)0x358f3959, (q31_t)0x3589845f, (q31_t)0x3583cf44, (q31_t)0x357e1a08,
+ (q31_t)0x357864ab, (q31_t)0x3572af2d, (q31_t)0x356cf98e, (q31_t)0x356743ce, (q31_t)0x35618ded, (q31_t)0x355bd7eb, (q31_t)0x355621c9, (q31_t)0x35506b85,
+ (q31_t)0x354ab520, (q31_t)0x3544fe9b, (q31_t)0x353f47f5, (q31_t)0x3539912e, (q31_t)0x3533da46, (q31_t)0x352e233d, (q31_t)0x35286c14, (q31_t)0x3522b4c9,
+ (q31_t)0x351cfd5e, (q31_t)0x351745d2, (q31_t)0x35118e26, (q31_t)0x350bd658, (q31_t)0x35061e6a, (q31_t)0x3500665c, (q31_t)0x34faae2c, (q31_t)0x34f4f5dc,
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+ (q31_t)0x3465ccb4, (q31_t)0x34601117, (q31_t)0x345a5559, (q31_t)0x3454997c, (q31_t)0x344edd7e, (q31_t)0x34492160, (q31_t)0x34436521, (q31_t)0x343da8c3,
+ (q31_t)0x3437ec44, (q31_t)0x34322fa5, (q31_t)0x342c72e6, (q31_t)0x3426b606, (q31_t)0x3420f907, (q31_t)0x341b3be7, (q31_t)0x34157ea7, (q31_t)0x340fc147,
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+ (q31_t)0x33dc1343, (q31_t)0x33d654a2, (q31_t)0x33d095e2, (q31_t)0x33cad701, (q31_t)0x33c51801, (q31_t)0x33bf58e1, (q31_t)0x33b999a0, (q31_t)0x33b3da40,
+ (q31_t)0x33ae1ac0, (q31_t)0x33a85b20, (q31_t)0x33a29b60, (q31_t)0x339cdb81, (q31_t)0x33971b81, (q31_t)0x33915b62, (q31_t)0x338b9b22, (q31_t)0x3385dac4,
+ (q31_t)0x33801a45, (q31_t)0x337a59a6, (q31_t)0x337498e8, (q31_t)0x336ed80a, (q31_t)0x3369170c, (q31_t)0x336355ef, (q31_t)0x335d94b2, (q31_t)0x3357d355,
+ (q31_t)0x335211d8, (q31_t)0x334c503c, (q31_t)0x33468e80, (q31_t)0x3340cca5, (q31_t)0x333b0aaa, (q31_t)0x3335488f, (q31_t)0x332f8655, (q31_t)0x3329c3fb,
+ (q31_t)0x33240182, (q31_t)0x331e3ee9, (q31_t)0x33187c31, (q31_t)0x3312b959, (q31_t)0x330cf661, (q31_t)0x3307334a, (q31_t)0x33017014, (q31_t)0x32fbacbe,
+ (q31_t)0x32f5e948, (q31_t)0x32f025b4, (q31_t)0x32ea61ff, (q31_t)0x32e49e2c, (q31_t)0x32deda39, (q31_t)0x32d91626, (q31_t)0x32d351f5, (q31_t)0x32cd8da4,
+ (q31_t)0x32c7c933, (q31_t)0x32c204a3, (q31_t)0x32bc3ff4, (q31_t)0x32b67b26, (q31_t)0x32b0b638, (q31_t)0x32aaf12b, (q31_t)0x32a52bff, (q31_t)0x329f66b4,
+ (q31_t)0x3299a149, (q31_t)0x3293dbbf, (q31_t)0x328e1616, (q31_t)0x3288504e, (q31_t)0x32828a67, (q31_t)0x327cc460, (q31_t)0x3276fe3a, (q31_t)0x327137f6,
+ (q31_t)0x326b7192, (q31_t)0x3265ab0f, (q31_t)0x325fe46c, (q31_t)0x325a1dab, (q31_t)0x325456cb, (q31_t)0x324e8fcc, (q31_t)0x3248c8ad, (q31_t)0x32430170,
+ (q31_t)0x323d3a14, (q31_t)0x32377298, (q31_t)0x3231aafe, (q31_t)0x322be345, (q31_t)0x32261b6c, (q31_t)0x32205375, (q31_t)0x321a8b5f, (q31_t)0x3214c32a,
+ (q31_t)0x320efad6, (q31_t)0x32093263, (q31_t)0x320369d2, (q31_t)0x31fda121, (q31_t)0x31f7d852, (q31_t)0x31f20f64, (q31_t)0x31ec4657, (q31_t)0x31e67d2b,
+ (q31_t)0x31e0b3e0, (q31_t)0x31daea77, (q31_t)0x31d520ef, (q31_t)0x31cf5748, (q31_t)0x31c98d83, (q31_t)0x31c3c39e, (q31_t)0x31bdf99b, (q31_t)0x31b82f7a,
+ (q31_t)0x31b2653a, (q31_t)0x31ac9adb, (q31_t)0x31a6d05d, (q31_t)0x31a105c1, (q31_t)0x319b3b06, (q31_t)0x3195702d, (q31_t)0x318fa535, (q31_t)0x3189da1e,
+ (q31_t)0x31840ee9, (q31_t)0x317e4395, (q31_t)0x31787823, (q31_t)0x3172ac92, (q31_t)0x316ce0e3, (q31_t)0x31671515, (q31_t)0x31614929, (q31_t)0x315b7d1e,
+ (q31_t)0x3155b0f5, (q31_t)0x314fe4ae, (q31_t)0x314a1848, (q31_t)0x31444bc3, (q31_t)0x313e7f21, (q31_t)0x3138b260, (q31_t)0x3132e580, (q31_t)0x312d1882,
+ (q31_t)0x31274b66, (q31_t)0x31217e2c, (q31_t)0x311bb0d3, (q31_t)0x3115e35c, (q31_t)0x311015c6, (q31_t)0x310a4813, (q31_t)0x31047a41, (q31_t)0x30feac51,
+ (q31_t)0x30f8de42, (q31_t)0x30f31016, (q31_t)0x30ed41cb, (q31_t)0x30e77362, (q31_t)0x30e1a4db, (q31_t)0x30dbd636, (q31_t)0x30d60772, (q31_t)0x30d03891,
+ (q31_t)0x30ca6991, (q31_t)0x30c49a74, (q31_t)0x30becb38, (q31_t)0x30b8fbde, (q31_t)0x30b32c66, (q31_t)0x30ad5cd0, (q31_t)0x30a78d1c, (q31_t)0x30a1bd4a,
+ (q31_t)0x309bed5a, (q31_t)0x30961d4c, (q31_t)0x30904d20, (q31_t)0x308a7cd6, (q31_t)0x3084ac6e, (q31_t)0x307edbe9, (q31_t)0x30790b45, (q31_t)0x30733a83,
+ (q31_t)0x306d69a4, (q31_t)0x306798a7, (q31_t)0x3061c78b, (q31_t)0x305bf652, (q31_t)0x305624fb, (q31_t)0x30505387, (q31_t)0x304a81f4, (q31_t)0x3044b044,
+ (q31_t)0x303ede76, (q31_t)0x30390c8a, (q31_t)0x30333a80, (q31_t)0x302d6859, (q31_t)0x30279614, (q31_t)0x3021c3b1, (q31_t)0x301bf131, (q31_t)0x30161e93,
+ (q31_t)0x30104bd7, (q31_t)0x300a78fe, (q31_t)0x3004a607, (q31_t)0x2ffed2f2, (q31_t)0x2ff8ffc0, (q31_t)0x2ff32c70, (q31_t)0x2fed5902, (q31_t)0x2fe78577,
+ (q31_t)0x2fe1b1cf, (q31_t)0x2fdbde09, (q31_t)0x2fd60a25, (q31_t)0x2fd03624, (q31_t)0x2fca6206, (q31_t)0x2fc48dc9, (q31_t)0x2fbeb970, (q31_t)0x2fb8e4f9,
+ (q31_t)0x2fb31064, (q31_t)0x2fad3bb3, (q31_t)0x2fa766e3, (q31_t)0x2fa191f7, (q31_t)0x2f9bbced, (q31_t)0x2f95e7c5, (q31_t)0x2f901280, (q31_t)0x2f8a3d1e,
+ (q31_t)0x2f84679f, (q31_t)0x2f7e9202, (q31_t)0x2f78bc48, (q31_t)0x2f72e671, (q31_t)0x2f6d107c, (q31_t)0x2f673a6a, (q31_t)0x2f61643b, (q31_t)0x2f5b8def,
+ (q31_t)0x2f55b785, (q31_t)0x2f4fe0ff, (q31_t)0x2f4a0a5b, (q31_t)0x2f44339a, (q31_t)0x2f3e5cbb, (q31_t)0x2f3885c0, (q31_t)0x2f32aea8, (q31_t)0x2f2cd772,
+ (q31_t)0x2f27001f, (q31_t)0x2f2128af, (q31_t)0x2f1b5122, (q31_t)0x2f157979, (q31_t)0x2f0fa1b2, (q31_t)0x2f09c9ce, (q31_t)0x2f03f1cd, (q31_t)0x2efe19ae,
+ (q31_t)0x2ef84173, (q31_t)0x2ef2691b, (q31_t)0x2eec90a7, (q31_t)0x2ee6b815, (q31_t)0x2ee0df66, (q31_t)0x2edb069a, (q31_t)0x2ed52db1, (q31_t)0x2ecf54ac,
+ (q31_t)0x2ec97b89, (q31_t)0x2ec3a24a, (q31_t)0x2ebdc8ee, (q31_t)0x2eb7ef75, (q31_t)0x2eb215df, (q31_t)0x2eac3c2d, (q31_t)0x2ea6625d, (q31_t)0x2ea08871,
+ (q31_t)0x2e9aae68, (q31_t)0x2e94d443, (q31_t)0x2e8efa00, (q31_t)0x2e891fa1, (q31_t)0x2e834525, (q31_t)0x2e7d6a8d, (q31_t)0x2e778fd8, (q31_t)0x2e71b506,
+ (q31_t)0x2e6bda17, (q31_t)0x2e65ff0c, (q31_t)0x2e6023e5, (q31_t)0x2e5a48a0, (q31_t)0x2e546d3f, (q31_t)0x2e4e91c2, (q31_t)0x2e48b628, (q31_t)0x2e42da71,
+ (q31_t)0x2e3cfe9e, (q31_t)0x2e3722ae, (q31_t)0x2e3146a2, (q31_t)0x2e2b6a79, (q31_t)0x2e258e34, (q31_t)0x2e1fb1d3, (q31_t)0x2e19d554, (q31_t)0x2e13f8ba,
+ (q31_t)0x2e0e1c03, (q31_t)0x2e083f30, (q31_t)0x2e026240, (q31_t)0x2dfc8534, (q31_t)0x2df6a80b, (q31_t)0x2df0cac6, (q31_t)0x2deaed65, (q31_t)0x2de50fe8,
+ (q31_t)0x2ddf324e, (q31_t)0x2dd95498, (q31_t)0x2dd376c5, (q31_t)0x2dcd98d7, (q31_t)0x2dc7bacc, (q31_t)0x2dc1dca4, (q31_t)0x2dbbfe61, (q31_t)0x2db62001,
+ (q31_t)0x2db04186, (q31_t)0x2daa62ee, (q31_t)0x2da4843a, (q31_t)0x2d9ea569, (q31_t)0x2d98c67d, (q31_t)0x2d92e774, (q31_t)0x2d8d084f, (q31_t)0x2d87290f,
+ (q31_t)0x2d8149b2, (q31_t)0x2d7b6a39, (q31_t)0x2d758aa4, (q31_t)0x2d6faaf3, (q31_t)0x2d69cb26, (q31_t)0x2d63eb3d, (q31_t)0x2d5e0b38, (q31_t)0x2d582b17,
+ (q31_t)0x2d524ada, (q31_t)0x2d4c6a81, (q31_t)0x2d468a0c, (q31_t)0x2d40a97b, (q31_t)0x2d3ac8ce, (q31_t)0x2d34e805, (q31_t)0x2d2f0721, (q31_t)0x2d292620,
+ (q31_t)0x2d234504, (q31_t)0x2d1d63cc, (q31_t)0x2d178278, (q31_t)0x2d11a108, (q31_t)0x2d0bbf7d, (q31_t)0x2d05ddd5, (q31_t)0x2cfffc12, (q31_t)0x2cfa1a33,
+ (q31_t)0x2cf43839, (q31_t)0x2cee5622, (q31_t)0x2ce873f0, (q31_t)0x2ce291a2, (q31_t)0x2cdcaf39, (q31_t)0x2cd6ccb4, (q31_t)0x2cd0ea13, (q31_t)0x2ccb0756,
+ (q31_t)0x2cc5247e, (q31_t)0x2cbf418b, (q31_t)0x2cb95e7b, (q31_t)0x2cb37b51, (q31_t)0x2cad980a, (q31_t)0x2ca7b4a8, (q31_t)0x2ca1d12a, (q31_t)0x2c9bed91,
+ (q31_t)0x2c9609dd, (q31_t)0x2c90260d, (q31_t)0x2c8a4221, (q31_t)0x2c845e1a, (q31_t)0x2c7e79f7, (q31_t)0x2c7895b9, (q31_t)0x2c72b160, (q31_t)0x2c6ccceb,
+ (q31_t)0x2c66e85b, (q31_t)0x2c6103af, (q31_t)0x2c5b1ee8, (q31_t)0x2c553a06, (q31_t)0x2c4f5508, (q31_t)0x2c496fef, (q31_t)0x2c438abb, (q31_t)0x2c3da56b,
+ (q31_t)0x2c37c000, (q31_t)0x2c31da7a, (q31_t)0x2c2bf4d8, (q31_t)0x2c260f1c, (q31_t)0x2c202944, (q31_t)0x2c1a4351, (q31_t)0x2c145d42, (q31_t)0x2c0e7719,
+ (q31_t)0x2c0890d4, (q31_t)0x2c02aa74, (q31_t)0x2bfcc3f9, (q31_t)0x2bf6dd63, (q31_t)0x2bf0f6b1, (q31_t)0x2beb0fe5, (q31_t)0x2be528fd, (q31_t)0x2bdf41fb,
+ (q31_t)0x2bd95add, (q31_t)0x2bd373a4, (q31_t)0x2bcd8c51, (q31_t)0x2bc7a4e2, (q31_t)0x2bc1bd58, (q31_t)0x2bbbd5b3, (q31_t)0x2bb5edf4, (q31_t)0x2bb00619,
+ (q31_t)0x2baa1e23, (q31_t)0x2ba43613, (q31_t)0x2b9e4de7, (q31_t)0x2b9865a1, (q31_t)0x2b927d3f, (q31_t)0x2b8c94c3, (q31_t)0x2b86ac2c, (q31_t)0x2b80c37a,
+ (q31_t)0x2b7adaae, (q31_t)0x2b74f1c6, (q31_t)0x2b6f08c4, (q31_t)0x2b691fa6, (q31_t)0x2b63366f, (q31_t)0x2b5d4d1c, (q31_t)0x2b5763ae, (q31_t)0x2b517a26,
+ (q31_t)0x2b4b9083, (q31_t)0x2b45a6c6, (q31_t)0x2b3fbced, (q31_t)0x2b39d2fa, (q31_t)0x2b33e8ed, (q31_t)0x2b2dfec5, (q31_t)0x2b281482, (q31_t)0x2b222a24,
+ (q31_t)0x2b1c3fac, (q31_t)0x2b165519, (q31_t)0x2b106a6c, (q31_t)0x2b0a7fa4, (q31_t)0x2b0494c2, (q31_t)0x2afea9c5, (q31_t)0x2af8bead, (q31_t)0x2af2d37b,
+ (q31_t)0x2aece82f, (q31_t)0x2ae6fcc8, (q31_t)0x2ae11146, (q31_t)0x2adb25aa, (q31_t)0x2ad539f4, (q31_t)0x2acf4e23, (q31_t)0x2ac96238, (q31_t)0x2ac37633,
+ (q31_t)0x2abd8a13, (q31_t)0x2ab79dd8, (q31_t)0x2ab1b184, (q31_t)0x2aabc515, (q31_t)0x2aa5d88b, (q31_t)0x2a9febe8, (q31_t)0x2a99ff2a, (q31_t)0x2a941252,
+ (q31_t)0x2a8e255f, (q31_t)0x2a883853, (q31_t)0x2a824b2c, (q31_t)0x2a7c5deb, (q31_t)0x2a76708f, (q31_t)0x2a70831a, (q31_t)0x2a6a958a, (q31_t)0x2a64a7e0,
+ (q31_t)0x2a5eba1c, (q31_t)0x2a58cc3e, (q31_t)0x2a52de46, (q31_t)0x2a4cf033, (q31_t)0x2a470207, (q31_t)0x2a4113c0, (q31_t)0x2a3b2560, (q31_t)0x2a3536e5,
+ (q31_t)0x2a2f4850, (q31_t)0x2a2959a1, (q31_t)0x2a236ad9, (q31_t)0x2a1d7bf6, (q31_t)0x2a178cf9, (q31_t)0x2a119de2, (q31_t)0x2a0baeb2, (q31_t)0x2a05bf67,
+ (q31_t)0x29ffd003, (q31_t)0x29f9e084, (q31_t)0x29f3f0ec, (q31_t)0x29ee013a, (q31_t)0x29e8116e, (q31_t)0x29e22188, (q31_t)0x29dc3188, (q31_t)0x29d6416f,
+ (q31_t)0x29d0513b, (q31_t)0x29ca60ee, (q31_t)0x29c47087, (q31_t)0x29be8007, (q31_t)0x29b88f6c, (q31_t)0x29b29eb8, (q31_t)0x29acadea, (q31_t)0x29a6bd02,
+ (q31_t)0x29a0cc01, (q31_t)0x299adae6, (q31_t)0x2994e9b1, (q31_t)0x298ef863, (q31_t)0x298906fb, (q31_t)0x2983157a, (q31_t)0x297d23df, (q31_t)0x2977322a,
+ (q31_t)0x2971405b, (q31_t)0x296b4e74, (q31_t)0x29655c72, (q31_t)0x295f6a57, (q31_t)0x29597823, (q31_t)0x295385d5, (q31_t)0x294d936d, (q31_t)0x2947a0ec,
+ (q31_t)0x2941ae52, (q31_t)0x293bbb9e, (q31_t)0x2935c8d1, (q31_t)0x292fd5ea, (q31_t)0x2929e2ea, (q31_t)0x2923efd0, (q31_t)0x291dfc9d, (q31_t)0x29180951,
+ (q31_t)0x291215eb, (q31_t)0x290c226c, (q31_t)0x29062ed4, (q31_t)0x29003b23, (q31_t)0x28fa4758, (q31_t)0x28f45374, (q31_t)0x28ee5f76, (q31_t)0x28e86b5f,
+ (q31_t)0x28e27730, (q31_t)0x28dc82e6, (q31_t)0x28d68e84, (q31_t)0x28d09a09, (q31_t)0x28caa574, (q31_t)0x28c4b0c6, (q31_t)0x28bebbff, (q31_t)0x28b8c71f,
+ (q31_t)0x28b2d226, (q31_t)0x28acdd13, (q31_t)0x28a6e7e8, (q31_t)0x28a0f2a3, (q31_t)0x289afd46, (q31_t)0x289507cf, (q31_t)0x288f123f, (q31_t)0x28891c97,
+ (q31_t)0x288326d5, (q31_t)0x287d30fa, (q31_t)0x28773b07, (q31_t)0x287144fa, (q31_t)0x286b4ed5, (q31_t)0x28655896, (q31_t)0x285f623f, (q31_t)0x28596bce,
+ (q31_t)0x28537545, (q31_t)0x284d7ea3, (q31_t)0x284787e8, (q31_t)0x28419114, (q31_t)0x283b9a28, (q31_t)0x2835a322, (q31_t)0x282fac04, (q31_t)0x2829b4cd,
+ (q31_t)0x2823bd7d, (q31_t)0x281dc615, (q31_t)0x2817ce93, (q31_t)0x2811d6f9, (q31_t)0x280bdf46, (q31_t)0x2805e77b, (q31_t)0x27ffef97, (q31_t)0x27f9f79a,
+ (q31_t)0x27f3ff85, (q31_t)0x27ee0756, (q31_t)0x27e80f10, (q31_t)0x27e216b0, (q31_t)0x27dc1e38, (q31_t)0x27d625a8, (q31_t)0x27d02cff, (q31_t)0x27ca343d,
+ (q31_t)0x27c43b63, (q31_t)0x27be4270, (q31_t)0x27b84965, (q31_t)0x27b25041, (q31_t)0x27ac5705, (q31_t)0x27a65db0, (q31_t)0x27a06443, (q31_t)0x279a6abd,
+ (q31_t)0x2794711f, (q31_t)0x278e7768, (q31_t)0x27887d99, (q31_t)0x278283b2, (q31_t)0x277c89b3, (q31_t)0x27768f9b, (q31_t)0x2770956a, (q31_t)0x276a9b21,
+ (q31_t)0x2764a0c0, (q31_t)0x275ea647, (q31_t)0x2758abb6, (q31_t)0x2752b10c, (q31_t)0x274cb64a, (q31_t)0x2746bb6f, (q31_t)0x2740c07d, (q31_t)0x273ac572,
+ (q31_t)0x2734ca4f, (q31_t)0x272ecf14, (q31_t)0x2728d3c0, (q31_t)0x2722d855, (q31_t)0x271cdcd1, (q31_t)0x2716e136, (q31_t)0x2710e582, (q31_t)0x270ae9b6,
+ (q31_t)0x2704edd2, (q31_t)0x26fef1d5, (q31_t)0x26f8f5c1, (q31_t)0x26f2f995, (q31_t)0x26ecfd51, (q31_t)0x26e700f5, (q31_t)0x26e10480, (q31_t)0x26db07f4,
+ (q31_t)0x26d50b50, (q31_t)0x26cf0e94, (q31_t)0x26c911c0, (q31_t)0x26c314d4, (q31_t)0x26bd17d0, (q31_t)0x26b71ab4, (q31_t)0x26b11d80, (q31_t)0x26ab2034,
+ (q31_t)0x26a522d1, (q31_t)0x269f2556, (q31_t)0x269927c3, (q31_t)0x26932a18, (q31_t)0x268d2c55, (q31_t)0x26872e7b, (q31_t)0x26813088, (q31_t)0x267b327e,
+ (q31_t)0x2675345d, (q31_t)0x266f3623, (q31_t)0x266937d2, (q31_t)0x26633969, (q31_t)0x265d3ae9, (q31_t)0x26573c50, (q31_t)0x26513da1, (q31_t)0x264b3ed9,
+ (q31_t)0x26453ffa, (q31_t)0x263f4103, (q31_t)0x263941f5, (q31_t)0x263342cf, (q31_t)0x262d4392, (q31_t)0x2627443d, (q31_t)0x262144d0, (q31_t)0x261b454c,
+ (q31_t)0x261545b0, (q31_t)0x260f45fd, (q31_t)0x26094633, (q31_t)0x26034651, (q31_t)0x25fd4657, (q31_t)0x25f74646, (q31_t)0x25f1461e, (q31_t)0x25eb45de,
+ (q31_t)0x25e54587, (q31_t)0x25df4519, (q31_t)0x25d94493, (q31_t)0x25d343f6, (q31_t)0x25cd4341, (q31_t)0x25c74276, (q31_t)0x25c14192, (q31_t)0x25bb4098,
+ (q31_t)0x25b53f86, (q31_t)0x25af3e5d, (q31_t)0x25a93d1d, (q31_t)0x25a33bc6, (q31_t)0x259d3a57, (q31_t)0x259738d1, (q31_t)0x25913734, (q31_t)0x258b3580,
+ (q31_t)0x258533b5, (q31_t)0x257f31d2, (q31_t)0x25792fd8, (q31_t)0x25732dc8, (q31_t)0x256d2ba0, (q31_t)0x25672961, (q31_t)0x2561270b, (q31_t)0x255b249e,
+ (q31_t)0x2555221a, (q31_t)0x254f1f7e, (q31_t)0x25491ccc, (q31_t)0x25431a03, (q31_t)0x253d1723, (q31_t)0x2537142c, (q31_t)0x2531111e, (q31_t)0x252b0df9,
+ (q31_t)0x25250abd, (q31_t)0x251f076a, (q31_t)0x25190400, (q31_t)0x25130080, (q31_t)0x250cfce8, (q31_t)0x2506f93a, (q31_t)0x2500f574, (q31_t)0x24faf198,
+ (q31_t)0x24f4eda6, (q31_t)0x24eee99c, (q31_t)0x24e8e57c, (q31_t)0x24e2e144, (q31_t)0x24dcdcf6, (q31_t)0x24d6d892, (q31_t)0x24d0d416, (q31_t)0x24cacf84,
+ (q31_t)0x24c4cadb, (q31_t)0x24bec61c, (q31_t)0x24b8c146, (q31_t)0x24b2bc59, (q31_t)0x24acb756, (q31_t)0x24a6b23b, (q31_t)0x24a0ad0b, (q31_t)0x249aa7c4,
+ (q31_t)0x2494a266, (q31_t)0x248e9cf1, (q31_t)0x24889766, (q31_t)0x248291c5, (q31_t)0x247c8c0d, (q31_t)0x2476863e, (q31_t)0x24708059, (q31_t)0x246a7a5e,
+ (q31_t)0x2464744c, (q31_t)0x245e6e23, (q31_t)0x245867e4, (q31_t)0x2452618f, (q31_t)0x244c5b24, (q31_t)0x244654a1, (q31_t)0x24404e09, (q31_t)0x243a475a,
+ (q31_t)0x24344095, (q31_t)0x242e39ba, (q31_t)0x242832c8, (q31_t)0x24222bc0, (q31_t)0x241c24a1, (q31_t)0x24161d6d, (q31_t)0x24101622, (q31_t)0x240a0ec1,
+ (q31_t)0x24040749, (q31_t)0x23fdffbc, (q31_t)0x23f7f818, (q31_t)0x23f1f05e, (q31_t)0x23ebe88e, (q31_t)0x23e5e0a7, (q31_t)0x23dfd8ab, (q31_t)0x23d9d098,
+ (q31_t)0x23d3c86f, (q31_t)0x23cdc031, (q31_t)0x23c7b7dc, (q31_t)0x23c1af71, (q31_t)0x23bba6f0, (q31_t)0x23b59e59, (q31_t)0x23af95ac, (q31_t)0x23a98ce8,
+ (q31_t)0x23a3840f, (q31_t)0x239d7b20, (q31_t)0x2397721b, (q31_t)0x23916900, (q31_t)0x238b5fcf, (q31_t)0x23855688, (q31_t)0x237f4d2b, (q31_t)0x237943b9,
+ (q31_t)0x23733a30, (q31_t)0x236d3092, (q31_t)0x236726dd, (q31_t)0x23611d13, (q31_t)0x235b1333, (q31_t)0x2355093e, (q31_t)0x234eff32, (q31_t)0x2348f511,
+ (q31_t)0x2342eada, (q31_t)0x233ce08d, (q31_t)0x2336d62a, (q31_t)0x2330cbb2, (q31_t)0x232ac124, (q31_t)0x2324b680, (q31_t)0x231eabc7, (q31_t)0x2318a0f8,
+ (q31_t)0x23129613, (q31_t)0x230c8b19, (q31_t)0x23068009, (q31_t)0x230074e3, (q31_t)0x22fa69a8, (q31_t)0x22f45e57, (q31_t)0x22ee52f1, (q31_t)0x22e84775,
+ (q31_t)0x22e23be4, (q31_t)0x22dc303d, (q31_t)0x22d62480, (q31_t)0x22d018ae, (q31_t)0x22ca0cc7, (q31_t)0x22c400ca, (q31_t)0x22bdf4b8, (q31_t)0x22b7e890,
+ (q31_t)0x22b1dc53, (q31_t)0x22abd001, (q31_t)0x22a5c399, (q31_t)0x229fb71b, (q31_t)0x2299aa89, (q31_t)0x22939de1, (q31_t)0x228d9123, (q31_t)0x22878451,
+ (q31_t)0x22817769, (q31_t)0x227b6a6c, (q31_t)0x22755d59, (q31_t)0x226f5032, (q31_t)0x226942f5, (q31_t)0x226335a2, (q31_t)0x225d283b, (q31_t)0x22571abe,
+ (q31_t)0x22510d2d, (q31_t)0x224aff86, (q31_t)0x2244f1c9, (q31_t)0x223ee3f8, (q31_t)0x2238d612, (q31_t)0x2232c816, (q31_t)0x222cba06, (q31_t)0x2226abe0,
+ (q31_t)0x22209da5, (q31_t)0x221a8f56, (q31_t)0x221480f1, (q31_t)0x220e7277, (q31_t)0x220863e8, (q31_t)0x22025544, (q31_t)0x21fc468b, (q31_t)0x21f637be,
+ (q31_t)0x21f028db, (q31_t)0x21ea19e3, (q31_t)0x21e40ad7, (q31_t)0x21ddfbb5, (q31_t)0x21d7ec7f, (q31_t)0x21d1dd34, (q31_t)0x21cbcdd3, (q31_t)0x21c5be5e,
+ (q31_t)0x21bfaed5, (q31_t)0x21b99f36, (q31_t)0x21b38f83, (q31_t)0x21ad7fba, (q31_t)0x21a76fdd, (q31_t)0x21a15fec, (q31_t)0x219b4fe5, (q31_t)0x21953fca,
+ (q31_t)0x218f2f9a, (q31_t)0x21891f55, (q31_t)0x21830efc, (q31_t)0x217cfe8e, (q31_t)0x2176ee0b, (q31_t)0x2170dd74, (q31_t)0x216accc8, (q31_t)0x2164bc08,
+ (q31_t)0x215eab33, (q31_t)0x21589a49, (q31_t)0x2152894b, (q31_t)0x214c7838, (q31_t)0x21466710, (q31_t)0x214055d4, (q31_t)0x213a4484, (q31_t)0x2134331f,
+ (q31_t)0x212e21a6, (q31_t)0x21281018, (q31_t)0x2121fe76, (q31_t)0x211becbf, (q31_t)0x2115daf4, (q31_t)0x210fc914, (q31_t)0x2109b720, (q31_t)0x2103a518,
+ (q31_t)0x20fd92fb, (q31_t)0x20f780ca, (q31_t)0x20f16e84, (q31_t)0x20eb5c2b, (q31_t)0x20e549bd, (q31_t)0x20df373a, (q31_t)0x20d924a4, (q31_t)0x20d311f9,
+ (q31_t)0x20ccff3a, (q31_t)0x20c6ec66, (q31_t)0x20c0d97f, (q31_t)0x20bac683, (q31_t)0x20b4b373, (q31_t)0x20aea04f, (q31_t)0x20a88d17, (q31_t)0x20a279ca,
+ (q31_t)0x209c666a, (q31_t)0x209652f5, (q31_t)0x20903f6c, (q31_t)0x208a2bcf, (q31_t)0x2084181e, (q31_t)0x207e0459, (q31_t)0x2077f080, (q31_t)0x2071dc93,
+ (q31_t)0x206bc892, (q31_t)0x2065b47d, (q31_t)0x205fa054, (q31_t)0x20598c17, (q31_t)0x205377c6, (q31_t)0x204d6361, (q31_t)0x20474ee8, (q31_t)0x20413a5b,
+ (q31_t)0x203b25bb, (q31_t)0x20351106, (q31_t)0x202efc3e, (q31_t)0x2028e761, (q31_t)0x2022d271, (q31_t)0x201cbd6d, (q31_t)0x2016a856, (q31_t)0x2010932a,
+ (q31_t)0x200a7deb, (q31_t)0x20046898, (q31_t)0x1ffe5331, (q31_t)0x1ff83db6, (q31_t)0x1ff22828, (q31_t)0x1fec1286, (q31_t)0x1fe5fcd0, (q31_t)0x1fdfe707,
+ (q31_t)0x1fd9d12a, (q31_t)0x1fd3bb39, (q31_t)0x1fcda535, (q31_t)0x1fc78f1d, (q31_t)0x1fc178f1, (q31_t)0x1fbb62b2, (q31_t)0x1fb54c60, (q31_t)0x1faf35f9,
+ (q31_t)0x1fa91f80, (q31_t)0x1fa308f2, (q31_t)0x1f9cf252, (q31_t)0x1f96db9d, (q31_t)0x1f90c4d5, (q31_t)0x1f8aadfa, (q31_t)0x1f84970b, (q31_t)0x1f7e8009,
+ (q31_t)0x1f7868f4, (q31_t)0x1f7251ca, (q31_t)0x1f6c3a8e, (q31_t)0x1f66233e, (q31_t)0x1f600bdb, (q31_t)0x1f59f465, (q31_t)0x1f53dcdb, (q31_t)0x1f4dc53d,
+ (q31_t)0x1f47ad8d, (q31_t)0x1f4195c9, (q31_t)0x1f3b7df2, (q31_t)0x1f356608, (q31_t)0x1f2f4e0a, (q31_t)0x1f2935f9, (q31_t)0x1f231dd5, (q31_t)0x1f1d059e,
+ (q31_t)0x1f16ed54, (q31_t)0x1f10d4f6, (q31_t)0x1f0abc85, (q31_t)0x1f04a401, (q31_t)0x1efe8b6a, (q31_t)0x1ef872c0, (q31_t)0x1ef25a03, (q31_t)0x1eec4132,
+ (q31_t)0x1ee6284f, (q31_t)0x1ee00f58, (q31_t)0x1ed9f64f, (q31_t)0x1ed3dd32, (q31_t)0x1ecdc402, (q31_t)0x1ec7aac0, (q31_t)0x1ec1916a, (q31_t)0x1ebb7802,
+ (q31_t)0x1eb55e86, (q31_t)0x1eaf44f8, (q31_t)0x1ea92b56, (q31_t)0x1ea311a2, (q31_t)0x1e9cf7db, (q31_t)0x1e96de01, (q31_t)0x1e90c414, (q31_t)0x1e8aaa14,
+ (q31_t)0x1e849001, (q31_t)0x1e7e75dc, (q31_t)0x1e785ba3, (q31_t)0x1e724158, (q31_t)0x1e6c26fa, (q31_t)0x1e660c8a, (q31_t)0x1e5ff206, (q31_t)0x1e59d770,
+ (q31_t)0x1e53bcc7, (q31_t)0x1e4da20c, (q31_t)0x1e47873d, (q31_t)0x1e416c5d, (q31_t)0x1e3b5169, (q31_t)0x1e353663, (q31_t)0x1e2f1b4a, (q31_t)0x1e29001e,
+ (q31_t)0x1e22e4e0, (q31_t)0x1e1cc990, (q31_t)0x1e16ae2c, (q31_t)0x1e1092b6, (q31_t)0x1e0a772e, (q31_t)0x1e045b93, (q31_t)0x1dfe3fe6, (q31_t)0x1df82426,
+ (q31_t)0x1df20853, (q31_t)0x1debec6f, (q31_t)0x1de5d077, (q31_t)0x1ddfb46e, (q31_t)0x1dd99851, (q31_t)0x1dd37c23, (q31_t)0x1dcd5fe2, (q31_t)0x1dc7438e,
+ (q31_t)0x1dc12729, (q31_t)0x1dbb0ab0, (q31_t)0x1db4ee26, (q31_t)0x1daed189, (q31_t)0x1da8b4da, (q31_t)0x1da29819, (q31_t)0x1d9c7b45, (q31_t)0x1d965e5f,
+ (q31_t)0x1d904167, (q31_t)0x1d8a245c, (q31_t)0x1d840740, (q31_t)0x1d7dea11, (q31_t)0x1d77ccd0, (q31_t)0x1d71af7d, (q31_t)0x1d6b9217, (q31_t)0x1d6574a0,
+ (q31_t)0x1d5f5716, (q31_t)0x1d59397a, (q31_t)0x1d531bcc, (q31_t)0x1d4cfe0d, (q31_t)0x1d46e03a, (q31_t)0x1d40c256, (q31_t)0x1d3aa460, (q31_t)0x1d348658,
+ (q31_t)0x1d2e683e, (q31_t)0x1d284a12, (q31_t)0x1d222bd3, (q31_t)0x1d1c0d83, (q31_t)0x1d15ef21, (q31_t)0x1d0fd0ad, (q31_t)0x1d09b227, (q31_t)0x1d03938f,
+ (q31_t)0x1cfd74e5, (q31_t)0x1cf7562a, (q31_t)0x1cf1375c, (q31_t)0x1ceb187d, (q31_t)0x1ce4f98c, (q31_t)0x1cdeda89, (q31_t)0x1cd8bb74, (q31_t)0x1cd29c4d,
+ (q31_t)0x1ccc7d15, (q31_t)0x1cc65dca, (q31_t)0x1cc03e6e, (q31_t)0x1cba1f01, (q31_t)0x1cb3ff81, (q31_t)0x1caddff0, (q31_t)0x1ca7c04d, (q31_t)0x1ca1a099,
+ (q31_t)0x1c9b80d3, (q31_t)0x1c9560fb, (q31_t)0x1c8f4112, (q31_t)0x1c892117, (q31_t)0x1c83010a, (q31_t)0x1c7ce0ec, (q31_t)0x1c76c0bc, (q31_t)0x1c70a07b,
+ (q31_t)0x1c6a8028, (q31_t)0x1c645fc3, (q31_t)0x1c5e3f4d, (q31_t)0x1c581ec6, (q31_t)0x1c51fe2d, (q31_t)0x1c4bdd83, (q31_t)0x1c45bcc7, (q31_t)0x1c3f9bf9,
+ (q31_t)0x1c397b1b, (q31_t)0x1c335a2b, (q31_t)0x1c2d3929, (q31_t)0x1c271816, (q31_t)0x1c20f6f2, (q31_t)0x1c1ad5bc, (q31_t)0x1c14b475, (q31_t)0x1c0e931d,
+ (q31_t)0x1c0871b4, (q31_t)0x1c025039, (q31_t)0x1bfc2ead, (q31_t)0x1bf60d0f, (q31_t)0x1befeb60, (q31_t)0x1be9c9a1, (q31_t)0x1be3a7cf, (q31_t)0x1bdd85ed,
+ (q31_t)0x1bd763fa, (q31_t)0x1bd141f5, (q31_t)0x1bcb1fdf, (q31_t)0x1bc4fdb8, (q31_t)0x1bbedb80, (q31_t)0x1bb8b937, (q31_t)0x1bb296dc, (q31_t)0x1bac7471,
+ (q31_t)0x1ba651f5, (q31_t)0x1ba02f67, (q31_t)0x1b9a0cc8, (q31_t)0x1b93ea19, (q31_t)0x1b8dc758, (q31_t)0x1b87a487, (q31_t)0x1b8181a4, (q31_t)0x1b7b5eb0,
+ (q31_t)0x1b753bac, (q31_t)0x1b6f1897, (q31_t)0x1b68f570, (q31_t)0x1b62d239, (q31_t)0x1b5caef1, (q31_t)0x1b568b98, (q31_t)0x1b50682e, (q31_t)0x1b4a44b3,
+ (q31_t)0x1b442127, (q31_t)0x1b3dfd8b, (q31_t)0x1b37d9de, (q31_t)0x1b31b620, (q31_t)0x1b2b9251, (q31_t)0x1b256e71, (q31_t)0x1b1f4a81, (q31_t)0x1b192680,
+ (q31_t)0x1b13026e, (q31_t)0x1b0cde4c, (q31_t)0x1b06ba19, (q31_t)0x1b0095d5, (q31_t)0x1afa7180, (q31_t)0x1af44d1b, (q31_t)0x1aee28a6, (q31_t)0x1ae8041f,
+ (q31_t)0x1ae1df88, (q31_t)0x1adbbae1, (q31_t)0x1ad59629, (q31_t)0x1acf7160, (q31_t)0x1ac94c87, (q31_t)0x1ac3279d, (q31_t)0x1abd02a3, (q31_t)0x1ab6dd98,
+ (q31_t)0x1ab0b87d, (q31_t)0x1aaa9352, (q31_t)0x1aa46e16, (q31_t)0x1a9e48c9, (q31_t)0x1a98236c, (q31_t)0x1a91fdff, (q31_t)0x1a8bd881, (q31_t)0x1a85b2f3,
+ (q31_t)0x1a7f8d54, (q31_t)0x1a7967a6, (q31_t)0x1a7341e6, (q31_t)0x1a6d1c17, (q31_t)0x1a66f637, (q31_t)0x1a60d047, (q31_t)0x1a5aaa47, (q31_t)0x1a548436,
+ (q31_t)0x1a4e5e15, (q31_t)0x1a4837e4, (q31_t)0x1a4211a3, (q31_t)0x1a3beb52, (q31_t)0x1a35c4f0, (q31_t)0x1a2f9e7e, (q31_t)0x1a2977fc, (q31_t)0x1a23516a,
+ (q31_t)0x1a1d2ac8, (q31_t)0x1a170416, (q31_t)0x1a10dd53, (q31_t)0x1a0ab681, (q31_t)0x1a048f9e, (q31_t)0x19fe68ac, (q31_t)0x19f841a9, (q31_t)0x19f21a96,
+ (q31_t)0x19ebf374, (q31_t)0x19e5cc41, (q31_t)0x19dfa4fe, (q31_t)0x19d97dac, (q31_t)0x19d35649, (q31_t)0x19cd2ed7, (q31_t)0x19c70754, (q31_t)0x19c0dfc2,
+ (q31_t)0x19bab820, (q31_t)0x19b4906e, (q31_t)0x19ae68ac, (q31_t)0x19a840da, (q31_t)0x19a218f9, (q31_t)0x199bf107, (q31_t)0x1995c906, (q31_t)0x198fa0f5,
+ (q31_t)0x198978d4, (q31_t)0x198350a4, (q31_t)0x197d2864, (q31_t)0x19770014, (q31_t)0x1970d7b4, (q31_t)0x196aaf45, (q31_t)0x196486c6, (q31_t)0x195e5e37,
+ (q31_t)0x19583599, (q31_t)0x19520ceb, (q31_t)0x194be42d, (q31_t)0x1945bb60, (q31_t)0x193f9283, (q31_t)0x19396997, (q31_t)0x1933409b, (q31_t)0x192d178f,
+ (q31_t)0x1926ee74, (q31_t)0x1920c54a, (q31_t)0x191a9c10, (q31_t)0x191472c6, (q31_t)0x190e496d, (q31_t)0x19082005, (q31_t)0x1901f68d, (q31_t)0x18fbcd06,
+ (q31_t)0x18f5a36f, (q31_t)0x18ef79c9, (q31_t)0x18e95014, (q31_t)0x18e3264f, (q31_t)0x18dcfc7b, (q31_t)0x18d6d297, (q31_t)0x18d0a8a4, (q31_t)0x18ca7ea2,
+ (q31_t)0x18c45491, (q31_t)0x18be2a70, (q31_t)0x18b80040, (q31_t)0x18b1d601, (q31_t)0x18ababb2, (q31_t)0x18a58154, (q31_t)0x189f56e8, (q31_t)0x18992c6b,
+ (q31_t)0x189301e0, (q31_t)0x188cd746, (q31_t)0x1886ac9c, (q31_t)0x188081e4, (q31_t)0x187a571c, (q31_t)0x18742c45, (q31_t)0x186e015f, (q31_t)0x1867d66a,
+ (q31_t)0x1861ab66, (q31_t)0x185b8053, (q31_t)0x18555530, (q31_t)0x184f29ff, (q31_t)0x1848febf, (q31_t)0x1842d370, (q31_t)0x183ca812, (q31_t)0x18367ca5,
+ (q31_t)0x18305129, (q31_t)0x182a259e, (q31_t)0x1823fa04, (q31_t)0x181dce5b, (q31_t)0x1817a2a4, (q31_t)0x181176dd, (q31_t)0x180b4b08, (q31_t)0x18051f24,
+ (q31_t)0x17fef331, (q31_t)0x17f8c72f, (q31_t)0x17f29b1e, (q31_t)0x17ec6eff, (q31_t)0x17e642d1, (q31_t)0x17e01694, (q31_t)0x17d9ea49, (q31_t)0x17d3bdee,
+ (q31_t)0x17cd9186, (q31_t)0x17c7650e, (q31_t)0x17c13888, (q31_t)0x17bb0bf3, (q31_t)0x17b4df4f, (q31_t)0x17aeb29d, (q31_t)0x17a885dc, (q31_t)0x17a2590d,
+ (q31_t)0x179c2c2f, (q31_t)0x1795ff42, (q31_t)0x178fd247, (q31_t)0x1789a53d, (q31_t)0x17837825, (q31_t)0x177d4afe, (q31_t)0x17771dc9, (q31_t)0x1770f086,
+ (q31_t)0x176ac333, (q31_t)0x176495d3, (q31_t)0x175e6864, (q31_t)0x17583ae7, (q31_t)0x17520d5b, (q31_t)0x174bdfc1, (q31_t)0x1745b218, (q31_t)0x173f8461,
+ (q31_t)0x1739569c, (q31_t)0x173328c8, (q31_t)0x172cfae6, (q31_t)0x1726ccf6, (q31_t)0x17209ef8, (q31_t)0x171a70eb, (q31_t)0x171442d0, (q31_t)0x170e14a7,
+ (q31_t)0x1707e670, (q31_t)0x1701b82a, (q31_t)0x16fb89d6, (q31_t)0x16f55b74, (q31_t)0x16ef2d04, (q31_t)0x16e8fe86, (q31_t)0x16e2cff9, (q31_t)0x16dca15f,
+ (q31_t)0x16d672b6, (q31_t)0x16d043ff, (q31_t)0x16ca153a, (q31_t)0x16c3e667, (q31_t)0x16bdb787, (q31_t)0x16b78898, (q31_t)0x16b1599b, (q31_t)0x16ab2a90,
+ (q31_t)0x16a4fb77, (q31_t)0x169ecc50, (q31_t)0x16989d1b, (q31_t)0x16926dd8, (q31_t)0x168c3e87, (q31_t)0x16860f29, (q31_t)0x167fdfbc, (q31_t)0x1679b042,
+ (q31_t)0x167380ba, (q31_t)0x166d5123, (q31_t)0x1667217f, (q31_t)0x1660f1ce, (q31_t)0x165ac20e, (q31_t)0x16549241, (q31_t)0x164e6266, (q31_t)0x1648327d,
+ (q31_t)0x16420286, (q31_t)0x163bd282, (q31_t)0x1635a270, (q31_t)0x162f7250, (q31_t)0x16294222, (q31_t)0x162311e7, (q31_t)0x161ce19e, (q31_t)0x1616b148,
+ (q31_t)0x161080e4, (q31_t)0x160a5072, (q31_t)0x16041ff3, (q31_t)0x15fdef66, (q31_t)0x15f7becc, (q31_t)0x15f18e24, (q31_t)0x15eb5d6e, (q31_t)0x15e52cab,
+ (q31_t)0x15defbdb, (q31_t)0x15d8cafd, (q31_t)0x15d29a11, (q31_t)0x15cc6918, (q31_t)0x15c63812, (q31_t)0x15c006fe, (q31_t)0x15b9d5dd, (q31_t)0x15b3a4ae,
+ (q31_t)0x15ad7372, (q31_t)0x15a74228, (q31_t)0x15a110d2, (q31_t)0x159adf6e, (q31_t)0x1594adfc, (q31_t)0x158e7c7d, (q31_t)0x15884af1, (q31_t)0x15821958,
+ (q31_t)0x157be7b1, (q31_t)0x1575b5fe, (q31_t)0x156f843c, (q31_t)0x1569526e, (q31_t)0x15632093, (q31_t)0x155ceeaa, (q31_t)0x1556bcb4, (q31_t)0x15508ab1,
+ (q31_t)0x154a58a1, (q31_t)0x15442683, (q31_t)0x153df459, (q31_t)0x1537c221, (q31_t)0x15318fdd, (q31_t)0x152b5d8b, (q31_t)0x15252b2c, (q31_t)0x151ef8c0,
+ (q31_t)0x1518c648, (q31_t)0x151293c2, (q31_t)0x150c612f, (q31_t)0x15062e8f, (q31_t)0x14fffbe2, (q31_t)0x14f9c928, (q31_t)0x14f39662, (q31_t)0x14ed638e,
+ (q31_t)0x14e730ae, (q31_t)0x14e0fdc0, (q31_t)0x14dacac6, (q31_t)0x14d497bf, (q31_t)0x14ce64ab, (q31_t)0x14c8318a, (q31_t)0x14c1fe5c, (q31_t)0x14bbcb22,
+ (q31_t)0x14b597da, (q31_t)0x14af6486, (q31_t)0x14a93125, (q31_t)0x14a2fdb8, (q31_t)0x149cca3e, (q31_t)0x149696b7, (q31_t)0x14906323, (q31_t)0x148a2f82,
+ (q31_t)0x1483fbd5, (q31_t)0x147dc81c, (q31_t)0x14779455, (q31_t)0x14716082, (q31_t)0x146b2ca3, (q31_t)0x1464f8b7, (q31_t)0x145ec4be, (q31_t)0x145890b9,
+ (q31_t)0x14525ca7, (q31_t)0x144c2888, (q31_t)0x1445f45d, (q31_t)0x143fc026, (q31_t)0x14398be2, (q31_t)0x14335792, (q31_t)0x142d2335, (q31_t)0x1426eecb,
+ (q31_t)0x1420ba56, (q31_t)0x141a85d3, (q31_t)0x14145145, (q31_t)0x140e1caa, (q31_t)0x1407e803, (q31_t)0x1401b34f, (q31_t)0x13fb7e8f, (q31_t)0x13f549c3,
+ (q31_t)0x13ef14ea, (q31_t)0x13e8e005, (q31_t)0x13e2ab14, (q31_t)0x13dc7616, (q31_t)0x13d6410d, (q31_t)0x13d00bf7, (q31_t)0x13c9d6d4, (q31_t)0x13c3a1a6,
+ (q31_t)0x13bd6c6b, (q31_t)0x13b73725, (q31_t)0x13b101d2, (q31_t)0x13aacc73, (q31_t)0x13a49707, (q31_t)0x139e6190, (q31_t)0x13982c0d, (q31_t)0x1391f67d,
+ (q31_t)0x138bc0e1, (q31_t)0x13858b3a, (q31_t)0x137f5586, (q31_t)0x13791fc6, (q31_t)0x1372e9fb, (q31_t)0x136cb423, (q31_t)0x13667e3f, (q31_t)0x13604850,
+ (q31_t)0x135a1254, (q31_t)0x1353dc4c, (q31_t)0x134da639, (q31_t)0x1347701a, (q31_t)0x134139ee, (q31_t)0x133b03b7, (q31_t)0x1334cd74, (q31_t)0x132e9725,
+ (q31_t)0x132860ca, (q31_t)0x13222a64, (q31_t)0x131bf3f2, (q31_t)0x1315bd73, (q31_t)0x130f86ea, (q31_t)0x13095054, (q31_t)0x130319b3, (q31_t)0x12fce305,
+ (q31_t)0x12f6ac4d, (q31_t)0x12f07588, (q31_t)0x12ea3eb8, (q31_t)0x12e407dc, (q31_t)0x12ddd0f4, (q31_t)0x12d79a01, (q31_t)0x12d16303, (q31_t)0x12cb2bf8,
+ (q31_t)0x12c4f4e2, (q31_t)0x12bebdc1, (q31_t)0x12b88693, (q31_t)0x12b24f5b, (q31_t)0x12ac1817, (q31_t)0x12a5e0c7, (q31_t)0x129fa96c, (q31_t)0x12997205,
+ (q31_t)0x12933a93, (q31_t)0x128d0315, (q31_t)0x1286cb8c, (q31_t)0x128093f7, (q31_t)0x127a5c57, (q31_t)0x127424ac, (q31_t)0x126decf5, (q31_t)0x1267b533,
+ (q31_t)0x12617d66, (q31_t)0x125b458d, (q31_t)0x12550da9, (q31_t)0x124ed5ba, (q31_t)0x12489dbf, (q31_t)0x124265b9, (q31_t)0x123c2da8, (q31_t)0x1235f58b,
+ (q31_t)0x122fbd63, (q31_t)0x12298530, (q31_t)0x12234cf2, (q31_t)0x121d14a9, (q31_t)0x1216dc54, (q31_t)0x1210a3f5, (q31_t)0x120a6b8a, (q31_t)0x12043314,
+ (q31_t)0x11fdfa93, (q31_t)0x11f7c207, (q31_t)0x11f18970, (q31_t)0x11eb50cd, (q31_t)0x11e51820, (q31_t)0x11dedf68, (q31_t)0x11d8a6a4, (q31_t)0x11d26dd6,
+ (q31_t)0x11cc34fc, (q31_t)0x11c5fc18, (q31_t)0x11bfc329, (q31_t)0x11b98a2e, (q31_t)0x11b35129, (q31_t)0x11ad1819, (q31_t)0x11a6defe, (q31_t)0x11a0a5d8,
+ (q31_t)0x119a6ca7, (q31_t)0x1194336b, (q31_t)0x118dfa25, (q31_t)0x1187c0d3, (q31_t)0x11818777, (q31_t)0x117b4e10, (q31_t)0x1175149e, (q31_t)0x116edb22,
+ (q31_t)0x1168a19b, (q31_t)0x11626809, (q31_t)0x115c2e6c, (q31_t)0x1155f4c4, (q31_t)0x114fbb12, (q31_t)0x11498156, (q31_t)0x1143478e, (q31_t)0x113d0dbc,
+ (q31_t)0x1136d3df, (q31_t)0x113099f8, (q31_t)0x112a6006, (q31_t)0x11242609, (q31_t)0x111dec02, (q31_t)0x1117b1f0, (q31_t)0x111177d4, (q31_t)0x110b3dad,
+ (q31_t)0x1105037c, (q31_t)0x10fec940, (q31_t)0x10f88efa, (q31_t)0x10f254a9, (q31_t)0x10ec1a4e, (q31_t)0x10e5dfe8, (q31_t)0x10dfa578, (q31_t)0x10d96afe,
+ (q31_t)0x10d33079, (q31_t)0x10ccf5ea, (q31_t)0x10c6bb50, (q31_t)0x10c080ac, (q31_t)0x10ba45fe, (q31_t)0x10b40b45, (q31_t)0x10add082, (q31_t)0x10a795b5,
+ (q31_t)0x10a15ade, (q31_t)0x109b1ffc, (q31_t)0x1094e510, (q31_t)0x108eaa1a, (q31_t)0x10886f19, (q31_t)0x1082340f, (q31_t)0x107bf8fa, (q31_t)0x1075bddb,
+ (q31_t)0x106f82b2, (q31_t)0x1069477f, (q31_t)0x10630c41, (q31_t)0x105cd0fa, (q31_t)0x105695a8, (q31_t)0x10505a4d, (q31_t)0x104a1ee7, (q31_t)0x1043e377,
+ (q31_t)0x103da7fd, (q31_t)0x10376c79, (q31_t)0x103130ec, (q31_t)0x102af554, (q31_t)0x1024b9b2, (q31_t)0x101e7e06, (q31_t)0x10184251, (q31_t)0x10120691,
+ (q31_t)0x100bcac7, (q31_t)0x10058ef4, (q31_t)0xfff5317, (q31_t)0xff91730, (q31_t)0xff2db3e, (q31_t)0xfec9f44, (q31_t)0xfe6633f, (q31_t)0xfe02730,
+ (q31_t)0xfd9eb18, (q31_t)0xfd3aef6, (q31_t)0xfcd72ca, (q31_t)0xfc73695, (q31_t)0xfc0fa55, (q31_t)0xfbabe0c, (q31_t)0xfb481ba, (q31_t)0xfae455d,
+ (q31_t)0xfa808f7, (q31_t)0xfa1cc87, (q31_t)0xf9b900e, (q31_t)0xf95538b, (q31_t)0xf8f16fe, (q31_t)0xf88da68, (q31_t)0xf829dc8, (q31_t)0xf7c611f,
+ (q31_t)0xf76246c, (q31_t)0xf6fe7af, (q31_t)0xf69aae9, (q31_t)0xf636e1a, (q31_t)0xf5d3141, (q31_t)0xf56f45e, (q31_t)0xf50b773, (q31_t)0xf4a7a7d,
+ (q31_t)0xf443d7e, (q31_t)0xf3e0076, (q31_t)0xf37c365, (q31_t)0xf318649, (q31_t)0xf2b4925, (q31_t)0xf250bf7, (q31_t)0xf1ecec0, (q31_t)0xf189180,
+ (q31_t)0xf125436, (q31_t)0xf0c16e3, (q31_t)0xf05d987, (q31_t)0xeff9c21, (q31_t)0xef95eb2, (q31_t)0xef3213a, (q31_t)0xeece3b9, (q31_t)0xee6a62f,
+ (q31_t)0xee0689b, (q31_t)0xeda2afe, (q31_t)0xed3ed58, (q31_t)0xecdafa9, (q31_t)0xec771f1, (q31_t)0xec1342f, (q31_t)0xebaf665, (q31_t)0xeb4b891,
+ (q31_t)0xeae7ab4, (q31_t)0xea83ccf, (q31_t)0xea1fee0, (q31_t)0xe9bc0e8, (q31_t)0xe9582e7, (q31_t)0xe8f44dd, (q31_t)0xe8906cb, (q31_t)0xe82c8af,
+ (q31_t)0xe7c8a8a, (q31_t)0xe764c5c, (q31_t)0xe700e26, (q31_t)0xe69cfe6, (q31_t)0xe63919e, (q31_t)0xe5d534d, (q31_t)0xe5714f3, (q31_t)0xe50d690,
+ (q31_t)0xe4a9824, (q31_t)0xe4459af, (q31_t)0xe3e1b32, (q31_t)0xe37dcac, (q31_t)0xe319e1d, (q31_t)0xe2b5f85, (q31_t)0xe2520e5, (q31_t)0xe1ee23c,
+ (q31_t)0xe18a38a, (q31_t)0xe1264cf, (q31_t)0xe0c260c, (q31_t)0xe05e740, (q31_t)0xdffa86b, (q31_t)0xdf9698e, (q31_t)0xdf32aa8, (q31_t)0xdecebba,
+ (q31_t)0xde6acc3, (q31_t)0xde06dc3, (q31_t)0xdda2ebb, (q31_t)0xdd3efab, (q31_t)0xdcdb091, (q31_t)0xdc77170, (q31_t)0xdc13245, (q31_t)0xdbaf313,
+ (q31_t)0xdb4b3d7, (q31_t)0xdae7494, (q31_t)0xda83548, (q31_t)0xda1f5f3, (q31_t)0xd9bb696, (q31_t)0xd957731, (q31_t)0xd8f37c3, (q31_t)0xd88f84d,
+ (q31_t)0xd82b8cf, (q31_t)0xd7c7948, (q31_t)0xd7639b9, (q31_t)0xd6ffa22, (q31_t)0xd69ba82, (q31_t)0xd637ada, (q31_t)0xd5d3b2a, (q31_t)0xd56fb71,
+ (q31_t)0xd50bbb1, (q31_t)0xd4a7be8, (q31_t)0xd443c17, (q31_t)0xd3dfc3e, (q31_t)0xd37bc5c, (q31_t)0xd317c73, (q31_t)0xd2b3c81, (q31_t)0xd24fc87,
+ (q31_t)0xd1ebc85, (q31_t)0xd187c7b, (q31_t)0xd123c69, (q31_t)0xd0bfc4f, (q31_t)0xd05bc2d, (q31_t)0xcff7c02, (q31_t)0xcf93bd0, (q31_t)0xcf2fb96,
+ (q31_t)0xcecbb53, (q31_t)0xce67b09, (q31_t)0xce03ab7, (q31_t)0xcd9fa5d, (q31_t)0xcd3b9fb, (q31_t)0xccd7991, (q31_t)0xcc7391f, (q31_t)0xcc0f8a5,
+ (q31_t)0xcbab824, (q31_t)0xcb4779a, (q31_t)0xcae3709, (q31_t)0xca7f670, (q31_t)0xca1b5cf, (q31_t)0xc9b7526, (q31_t)0xc953475, (q31_t)0xc8ef3bd,
+ (q31_t)0xc88b2fd, (q31_t)0xc827235, (q31_t)0xc7c3166, (q31_t)0xc75f08f, (q31_t)0xc6fafb0, (q31_t)0xc696ec9, (q31_t)0xc632ddb, (q31_t)0xc5cece5,
+ (q31_t)0xc56abe8, (q31_t)0xc506ae3, (q31_t)0xc4a29d6, (q31_t)0xc43e8c2, (q31_t)0xc3da7a6, (q31_t)0xc376683, (q31_t)0xc312558, (q31_t)0xc2ae425,
+ (q31_t)0xc24a2eb, (q31_t)0xc1e61aa, (q31_t)0xc182061, (q31_t)0xc11df11, (q31_t)0xc0b9db9, (q31_t)0xc055c5a, (q31_t)0xbff1af3, (q31_t)0xbf8d985,
+ (q31_t)0xbf29810, (q31_t)0xbec5693, (q31_t)0xbe6150f, (q31_t)0xbdfd383, (q31_t)0xbd991f0, (q31_t)0xbd35056, (q31_t)0xbcd0eb5, (q31_t)0xbc6cd0c,
+ (q31_t)0xbc08b5c, (q31_t)0xbba49a5, (q31_t)0xbb407e7, (q31_t)0xbadc621, (q31_t)0xba78454, (q31_t)0xba14280, (q31_t)0xb9b00a5, (q31_t)0xb94bec2,
+ (q31_t)0xb8e7cd9, (q31_t)0xb883ae8, (q31_t)0xb81f8f0, (q31_t)0xb7bb6f2, (q31_t)0xb7574ec, (q31_t)0xb6f32df, (q31_t)0xb68f0cb, (q31_t)0xb62aeaf,
+ (q31_t)0xb5c6c8d, (q31_t)0xb562a64, (q31_t)0xb4fe834, (q31_t)0xb49a5fd, (q31_t)0xb4363bf, (q31_t)0xb3d217a, (q31_t)0xb36df2e, (q31_t)0xb309cdb,
+ (q31_t)0xb2a5a81, (q31_t)0xb241820, (q31_t)0xb1dd5b9, (q31_t)0xb17934b, (q31_t)0xb1150d5, (q31_t)0xb0b0e59, (q31_t)0xb04cbd6, (q31_t)0xafe894d,
+ (q31_t)0xaf846bc, (q31_t)0xaf20425, (q31_t)0xaebc187, (q31_t)0xae57ee2, (q31_t)0xadf3c37, (q31_t)0xad8f985, (q31_t)0xad2b6cc, (q31_t)0xacc740c,
+ (q31_t)0xac63146, (q31_t)0xabfee79, (q31_t)0xab9aba6, (q31_t)0xab368cc, (q31_t)0xaad25eb, (q31_t)0xaa6e304, (q31_t)0xaa0a016, (q31_t)0xa9a5d22,
+ (q31_t)0xa941a27, (q31_t)0xa8dd725, (q31_t)0xa87941d, (q31_t)0xa81510f, (q31_t)0xa7b0dfa, (q31_t)0xa74cadf, (q31_t)0xa6e87bd, (q31_t)0xa684495,
+ (q31_t)0xa620166, (q31_t)0xa5bbe31, (q31_t)0xa557af5, (q31_t)0xa4f37b3, (q31_t)0xa48f46b, (q31_t)0xa42b11d, (q31_t)0xa3c6dc8, (q31_t)0xa362a6d,
+ (q31_t)0xa2fe70b, (q31_t)0xa29a3a3, (q31_t)0xa236035, (q31_t)0xa1d1cc1, (q31_t)0xa16d946, (q31_t)0xa1095c6, (q31_t)0xa0a523f, (q31_t)0xa040eb1,
+ (q31_t)0x9fdcb1e, (q31_t)0x9f78784, (q31_t)0x9f143e5, (q31_t)0x9eb003f, (q31_t)0x9e4bc93, (q31_t)0x9de78e1, (q31_t)0x9d83529, (q31_t)0x9d1f16b,
+ (q31_t)0x9cbada7, (q31_t)0x9c569dc, (q31_t)0x9bf260c, (q31_t)0x9b8e236, (q31_t)0x9b29e59, (q31_t)0x9ac5a77, (q31_t)0x9a6168f, (q31_t)0x99fd2a0,
+ (q31_t)0x9998eac, (q31_t)0x9934ab2, (q31_t)0x98d06b2, (q31_t)0x986c2ac, (q31_t)0x9807ea1, (q31_t)0x97a3a8f, (q31_t)0x973f678, (q31_t)0x96db25a,
+ (q31_t)0x9676e37, (q31_t)0x9612a0e, (q31_t)0x95ae5e0, (q31_t)0x954a1ab, (q31_t)0x94e5d71, (q31_t)0x9481931, (q31_t)0x941d4eb, (q31_t)0x93b90a0,
+ (q31_t)0x9354c4f, (q31_t)0x92f07f8, (q31_t)0x928c39b, (q31_t)0x9227f39, (q31_t)0x91c3ad2, (q31_t)0x915f664, (q31_t)0x90fb1f1, (q31_t)0x9096d79,
+ (q31_t)0x90328fb, (q31_t)0x8fce477, (q31_t)0x8f69fee, (q31_t)0x8f05b5f, (q31_t)0x8ea16cb, (q31_t)0x8e3d231, (q31_t)0x8dd8d92, (q31_t)0x8d748ed,
+ (q31_t)0x8d10443, (q31_t)0x8cabf93, (q31_t)0x8c47ade, (q31_t)0x8be3624, (q31_t)0x8b7f164, (q31_t)0x8b1ac9f, (q31_t)0x8ab67d4, (q31_t)0x8a52304,
+ (q31_t)0x89ede2f, (q31_t)0x8989955, (q31_t)0x8925475, (q31_t)0x88c0f90, (q31_t)0x885caa5, (q31_t)0x87f85b5, (q31_t)0x87940c1, (q31_t)0x872fbc6,
+ (q31_t)0x86cb6c7, (q31_t)0x86671c2, (q31_t)0x8602cb9, (q31_t)0x859e7aa, (q31_t)0x853a296, (q31_t)0x84d5d7d, (q31_t)0x847185e, (q31_t)0x840d33b,
+ (q31_t)0x83a8e12, (q31_t)0x83448e5, (q31_t)0x82e03b2, (q31_t)0x827be7a, (q31_t)0x821793e, (q31_t)0x81b33fc, (q31_t)0x814eeb5, (q31_t)0x80ea969,
+ (q31_t)0x8086419, (q31_t)0x8021ec3, (q31_t)0x7fbd968, (q31_t)0x7f59409, (q31_t)0x7ef4ea4, (q31_t)0x7e9093b, (q31_t)0x7e2c3cd, (q31_t)0x7dc7e5a,
+ (q31_t)0x7d638e2, (q31_t)0x7cff365, (q31_t)0x7c9ade4, (q31_t)0x7c3685d, (q31_t)0x7bd22d2, (q31_t)0x7b6dd42, (q31_t)0x7b097ad, (q31_t)0x7aa5214,
+ (q31_t)0x7a40c76, (q31_t)0x79dc6d3, (q31_t)0x797812b, (q31_t)0x7913b7f, (q31_t)0x78af5ce, (q31_t)0x784b019, (q31_t)0x77e6a5e, (q31_t)0x77824a0,
+ (q31_t)0x771dedc, (q31_t)0x76b9914, (q31_t)0x7655347, (q31_t)0x75f0d76, (q31_t)0x758c7a1, (q31_t)0x75281c6, (q31_t)0x74c3be7, (q31_t)0x745f604,
+ (q31_t)0x73fb01c, (q31_t)0x7396a30, (q31_t)0x733243f, (q31_t)0x72cde4a, (q31_t)0x7269851, (q31_t)0x7205253, (q31_t)0x71a0c50, (q31_t)0x713c64a,
+ (q31_t)0x70d803f, (q31_t)0x7073a2f, (q31_t)0x700f41b, (q31_t)0x6faae03, (q31_t)0x6f467e7, (q31_t)0x6ee21c6, (q31_t)0x6e7dba1, (q31_t)0x6e19578,
+ (q31_t)0x6db4f4a, (q31_t)0x6d50919, (q31_t)0x6cec2e3, (q31_t)0x6c87ca9, (q31_t)0x6c2366a, (q31_t)0x6bbf028, (q31_t)0x6b5a9e1, (q31_t)0x6af6396,
+ (q31_t)0x6a91d47, (q31_t)0x6a2d6f4, (q31_t)0x69c909d, (q31_t)0x6964a42, (q31_t)0x69003e3, (q31_t)0x689bd80, (q31_t)0x6837718, (q31_t)0x67d30ad,
+ (q31_t)0x676ea3d, (q31_t)0x670a3ca, (q31_t)0x66a5d53, (q31_t)0x66416d8, (q31_t)0x65dd058, (q31_t)0x65789d5, (q31_t)0x651434e, (q31_t)0x64afcc3,
+ (q31_t)0x644b634, (q31_t)0x63e6fa2, (q31_t)0x638290b, (q31_t)0x631e271, (q31_t)0x62b9bd3, (q31_t)0x6255531, (q31_t)0x61f0e8b, (q31_t)0x618c7e1,
+ (q31_t)0x6128134, (q31_t)0x60c3a83, (q31_t)0x605f3ce, (q31_t)0x5ffad15, (q31_t)0x5f96659, (q31_t)0x5f31f99, (q31_t)0x5ecd8d6, (q31_t)0x5e6920e,
+ (q31_t)0x5e04b43, (q31_t)0x5da0475, (q31_t)0x5d3bda3, (q31_t)0x5cd76cd, (q31_t)0x5c72ff4, (q31_t)0x5c0e917, (q31_t)0x5baa237, (q31_t)0x5b45b53,
+ (q31_t)0x5ae146b, (q31_t)0x5a7cd80, (q31_t)0x5a18692, (q31_t)0x59b3fa0, (q31_t)0x594f8aa, (q31_t)0x58eb1b2, (q31_t)0x5886ab5, (q31_t)0x58223b6,
+ (q31_t)0x57bdcb3, (q31_t)0x57595ac, (q31_t)0x56f4ea2, (q31_t)0x5690795, (q31_t)0x562c085, (q31_t)0x55c7971, (q31_t)0x556325a, (q31_t)0x54feb3f,
+ (q31_t)0x549a422, (q31_t)0x5435d01, (q31_t)0x53d15dd, (q31_t)0x536ceb5, (q31_t)0x530878a, (q31_t)0x52a405d, (q31_t)0x523f92c, (q31_t)0x51db1f7,
+ (q31_t)0x5176ac0, (q31_t)0x5112385, (q31_t)0x50adc48, (q31_t)0x5049507, (q31_t)0x4fe4dc3, (q31_t)0x4f8067c, (q31_t)0x4f1bf32, (q31_t)0x4eb77e5,
+ (q31_t)0x4e53095, (q31_t)0x4dee942, (q31_t)0x4d8a1ec, (q31_t)0x4d25a93, (q31_t)0x4cc1337, (q31_t)0x4c5cbd8, (q31_t)0x4bf8476, (q31_t)0x4b93d11,
+ (q31_t)0x4b2f5a9, (q31_t)0x4acae3e, (q31_t)0x4a666d1, (q31_t)0x4a01f60, (q31_t)0x499d7ed, (q31_t)0x4939077, (q31_t)0x48d48fe, (q31_t)0x4870182,
+ (q31_t)0x480ba04, (q31_t)0x47a7282, (q31_t)0x4742afe, (q31_t)0x46de377, (q31_t)0x4679bee, (q31_t)0x4615461, (q31_t)0x45b0cd2, (q31_t)0x454c541,
+ (q31_t)0x44e7dac, (q31_t)0x4483615, (q31_t)0x441ee7c, (q31_t)0x43ba6df, (q31_t)0x4355f40, (q31_t)0x42f179f, (q31_t)0x428cffb, (q31_t)0x4228854,
+ (q31_t)0x41c40ab, (q31_t)0x415f8ff, (q31_t)0x40fb151, (q31_t)0x40969a0, (q31_t)0x40321ed, (q31_t)0x3fcda37, (q31_t)0x3f6927f, (q31_t)0x3f04ac4,
+ (q31_t)0x3ea0307, (q31_t)0x3e3bb48, (q31_t)0x3dd7386, (q31_t)0x3d72bc2, (q31_t)0x3d0e3fb, (q31_t)0x3ca9c32, (q31_t)0x3c45467, (q31_t)0x3be0c99,
+ (q31_t)0x3b7c4c9, (q31_t)0x3b17cf7, (q31_t)0x3ab3523, (q31_t)0x3a4ed4c, (q31_t)0x39ea573, (q31_t)0x3985d97, (q31_t)0x39215ba, (q31_t)0x38bcdda,
+ (q31_t)0x38585f8, (q31_t)0x37f3e14, (q31_t)0x378f62e, (q31_t)0x372ae46, (q31_t)0x36c665b, (q31_t)0x3661e6f, (q31_t)0x35fd680, (q31_t)0x3598e8f,
+ (q31_t)0x353469c, (q31_t)0x34cfea8, (q31_t)0x346b6b1, (q31_t)0x3406eb8, (q31_t)0x33a26bd, (q31_t)0x333dec0, (q31_t)0x32d96c1, (q31_t)0x3274ec0,
+ (q31_t)0x32106bd, (q31_t)0x31abeb9, (q31_t)0x31476b2, (q31_t)0x30e2ea9, (q31_t)0x307e69f, (q31_t)0x3019e93, (q31_t)0x2fb5684, (q31_t)0x2f50e74,
+ (q31_t)0x2eec663, (q31_t)0x2e87e4f, (q31_t)0x2e2363a, (q31_t)0x2dbee22, (q31_t)0x2d5a609, (q31_t)0x2cf5def, (q31_t)0x2c915d2, (q31_t)0x2c2cdb4,
+ (q31_t)0x2bc8594, (q31_t)0x2b63d73, (q31_t)0x2aff54f, (q31_t)0x2a9ad2a, (q31_t)0x2a36504, (q31_t)0x29d1cdc, (q31_t)0x296d4b2, (q31_t)0x2908c87,
+ (q31_t)0x28a445a, (q31_t)0x283fc2b, (q31_t)0x27db3fb, (q31_t)0x2776bc9, (q31_t)0x2712396, (q31_t)0x26adb62, (q31_t)0x264932b, (q31_t)0x25e4af4,
+ (q31_t)0x25802bb, (q31_t)0x251ba80, (q31_t)0x24b7244, (q31_t)0x2452a07, (q31_t)0x23ee1c8, (q31_t)0x2389988, (q31_t)0x2325147, (q31_t)0x22c0904,
+ (q31_t)0x225c0bf, (q31_t)0x21f787a, (q31_t)0x2193033, (q31_t)0x212e7eb, (q31_t)0x20c9fa1, (q31_t)0x2065757, (q31_t)0x2000f0b, (q31_t)0x1f9c6be,
+ (q31_t)0x1f37e6f, (q31_t)0x1ed3620, (q31_t)0x1e6edcf, (q31_t)0x1e0a57d, (q31_t)0x1da5d2a, (q31_t)0x1d414d6, (q31_t)0x1cdcc80, (q31_t)0x1c7842a,
+ (q31_t)0x1c13bd2, (q31_t)0x1baf37a, (q31_t)0x1b4ab20, (q31_t)0x1ae62c5, (q31_t)0x1a81a69, (q31_t)0x1a1d20c, (q31_t)0x19b89ae, (q31_t)0x1954150,
+ (q31_t)0x18ef8f0, (q31_t)0x188b08f, (q31_t)0x182682d, (q31_t)0x17c1fcb, (q31_t)0x175d767, (q31_t)0x16f8f03, (q31_t)0x169469d, (q31_t)0x162fe37,
+ (q31_t)0x15cb5d0, (q31_t)0x1566d68, (q31_t)0x15024ff, (q31_t)0x149dc96, (q31_t)0x143942b, (q31_t)0x13d4bc0, (q31_t)0x1370354, (q31_t)0x130bae7,
+ (q31_t)0x12a727a, (q31_t)0x1242a0c, (q31_t)0x11de19d, (q31_t)0x117992e, (q31_t)0x11150be, (q31_t)0x10b084d, (q31_t)0x104bfdb, (q31_t)0xfe7769,
+ (q31_t)0xf82ef6, (q31_t)0xf1e683, (q31_t)0xeb9e0f, (q31_t)0xe5559b, (q31_t)0xdf0d26, (q31_t)0xd8c4b0, (q31_t)0xd27c3a, (q31_t)0xcc33c3,
+ (q31_t)0xc5eb4c, (q31_t)0xbfa2d5, (q31_t)0xb95a5d, (q31_t)0xb311e4, (q31_t)0xacc96b, (q31_t)0xa680f2, (q31_t)0xa03878, (q31_t)0x99effe,
+ (q31_t)0x93a784, (q31_t)0x8d5f09, (q31_t)0x87168e, (q31_t)0x80ce12, (q31_t)0x7a8597, (q31_t)0x743d1a, (q31_t)0x6df49e, (q31_t)0x67ac21,
+ (q31_t)0x6163a5, (q31_t)0x5b1b27, (q31_t)0x54d2aa, (q31_t)0x4e8a2c, (q31_t)0x4841af, (q31_t)0x41f931, (q31_t)0x3bb0b3, (q31_t)0x356835,
+ (q31_t)0x2f1fb6, (q31_t)0x28d738, (q31_t)0x228eb9, (q31_t)0x1c463b, (q31_t)0x15fdbc, (q31_t)0xfb53d, (q31_t)0x96cbe, (q31_t)0x3243f
+};
+ #endif
+
+/**
+ @} end of DCT4_IDCT4_Table group
+ */
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15)
+/**
+ @brief Q15 table for reciprocal
+*/
+const q15_t __ALIGNED(4) armRecipTableQ15[64] = {
+ 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0,
+ 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82,
+ 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484,
+ 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0,
+ 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E,
+ 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255,
+ 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6,
+ 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978,
+ 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8,
+ 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255,
+ 0x41CC, 0x4146, 0x40C2, 0x4040
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31)
+
+/**
+ @brief Q31 table for reciprocal
+*/
+const q31_t armRecipTableQ31[64] = {
+ 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928,
+ 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3,
+ 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519,
+ 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB,
+ 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318,
+ 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0,
+ 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D,
+ 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96,
+ 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2,
+ 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426,
+ 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
+/**
+ @par
+ Example code for the generation of the floating-point sine table:
+
+ tableSize = 512;
+ for (n = 0; n < (tableSize + 1); n++)
+ {
+ sinTable[n] = sin(2*PI*n/tableSize);
+ }
+ @par
+ where PI value is 3.14159265358979
+ */
+const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = {
+ 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f,
+ 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f,
+ 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f,
+ 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f,
+ 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f,
+ 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f,
+ 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f,
+ 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f,
+ 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f,
+ 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f,
+ 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f,
+ 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f,
+ 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f,
+ 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f,
+ 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f,
+ 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f,
+ 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f,
+ 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f,
+ 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f,
+ 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f,
+ 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f,
+ 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f,
+ 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f,
+ 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f,
+ 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f,
+ 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f,
+ 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f,
+ 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f,
+ 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f,
+ 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f,
+ 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f,
+ 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f,
+ 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f,
+ 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f,
+ 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f,
+ 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f,
+ 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f,
+ 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f,
+ 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f,
+ 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f,
+ 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f,
+ 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f,
+ 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f,
+ -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f,
+ -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f,
+ -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f,
+ -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f,
+ -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f,
+ -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f,
+ -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f,
+ -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f,
+ -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f,
+ -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f,
+ -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f,
+ -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f,
+ -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f,
+ -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f,
+ -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f,
+ -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f,
+ -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f,
+ -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f,
+ -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f,
+ -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f,
+ -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f,
+ -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f,
+ -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f,
+ -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f,
+ -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f,
+ -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f,
+ -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f,
+ -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f,
+ -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f,
+ -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f,
+ -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f,
+ -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f,
+ -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f,
+ -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f,
+ -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f,
+ -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f,
+ -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f,
+ -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f,
+ -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f,
+ -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f,
+ -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f,
+ -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f,
+ -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f,
+ -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f,
+ -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f,
+ -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f,
+ -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f,
+ -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f,
+ -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f,
+ -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f,
+ -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f
+};
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
+/**
+ @par
+ Table values are in Q31 (1.31 fixed-point format) and generation is done in
+ three steps. First, generate sin values in floating point:
+
+ tableSize = 512;
+ for (n = 0; n < (tableSize + 1); n++)
+ {
+ sinTable[n] = sin(2*PI*n/tableSize);
+ }
+ where PI value is 3.14159265358979
+ @par
+ Second, convert floating-point to Q31 (Fixed point):
+ (sinTable[i] * pow(2, 31))
+ @par
+ Finally, round to the nearest integer value:
+ sinTable[i] += (sinTable[i] > 0 ? 0.5 : -0.5);
+ */
+const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = {
+ 0L, 26352928L, 52701887L, 79042909L, 105372028L, 131685278L, 157978697L,
+ 184248325L, 210490206L, 236700388L, 262874923L, 289009871L, 315101295L,
+ 341145265L, 367137861L, 393075166L, 418953276L, 444768294L, 470516330L,
+ 496193509L, 521795963L, 547319836L, 572761285L, 598116479L, 623381598L,
+ 648552838L, 673626408L, 698598533L, 723465451L, 748223418L, 772868706L,
+ 797397602L, 821806413L, 846091463L, 870249095L, 894275671L, 918167572L,
+ 941921200L, 965532978L, 988999351L, 1012316784L, 1035481766L, 1058490808L,
+ 1081340445L, 1104027237L, 1126547765L, 1148898640L, 1171076495L, 1193077991L,
+ 1214899813L, 1236538675L, 1257991320L, 1279254516L, 1300325060L, 1321199781L,
+ 1341875533L, 1362349204L, 1382617710L, 1402678000L, 1422527051L, 1442161874L,
+ 1461579514L, 1480777044L, 1499751576L, 1518500250L, 1537020244L, 1555308768L,
+ 1573363068L, 1591180426L, 1608758157L, 1626093616L, 1643184191L, 1660027308L,
+ 1676620432L, 1692961062L, 1709046739L, 1724875040L, 1740443581L, 1755750017L,
+ 1770792044L, 1785567396L, 1800073849L, 1814309216L, 1828271356L, 1841958164L,
+ 1855367581L, 1868497586L, 1881346202L, 1893911494L, 1906191570L, 1918184581L,
+ 1929888720L, 1941302225L, 1952423377L, 1963250501L, 1973781967L, 1984016189L,
+ 1993951625L, 2003586779L, 2012920201L, 2021950484L, 2030676269L, 2039096241L,
+ 2047209133L, 2055013723L, 2062508835L, 2069693342L, 2076566160L, 2083126254L,
+ 2089372638L, 2095304370L, 2100920556L, 2106220352L, 2111202959L, 2115867626L,
+ 2120213651L, 2124240380L, 2127947206L, 2131333572L, 2134398966L, 2137142927L,
+ 2139565043L, 2141664948L, 2143442326L, 2144896910L, 2146028480L, 2146836866L,
+ 2147321946L, 2147483647L, 2147321946L, 2146836866L, 2146028480L, 2144896910L,
+ 2143442326L, 2141664948L, 2139565043L, 2137142927L, 2134398966L, 2131333572L,
+ 2127947206L, 2124240380L, 2120213651L, 2115867626L, 2111202959L, 2106220352L,
+ 2100920556L, 2095304370L, 2089372638L, 2083126254L, 2076566160L, 2069693342L,
+ 2062508835L, 2055013723L, 2047209133L, 2039096241L, 2030676269L, 2021950484L,
+ 2012920201L, 2003586779L, 1993951625L, 1984016189L, 1973781967L, 1963250501L,
+ 1952423377L, 1941302225L, 1929888720L, 1918184581L, 1906191570L, 1893911494L,
+ 1881346202L, 1868497586L, 1855367581L, 1841958164L, 1828271356L, 1814309216L,
+ 1800073849L, 1785567396L, 1770792044L, 1755750017L, 1740443581L, 1724875040L,
+ 1709046739L, 1692961062L, 1676620432L, 1660027308L, 1643184191L, 1626093616L,
+ 1608758157L, 1591180426L, 1573363068L, 1555308768L, 1537020244L, 1518500250L,
+ 1499751576L, 1480777044L, 1461579514L, 1442161874L, 1422527051L, 1402678000L,
+ 1382617710L, 1362349204L, 1341875533L, 1321199781L, 1300325060L, 1279254516L,
+ 1257991320L, 1236538675L, 1214899813L, 1193077991L, 1171076495L, 1148898640L,
+ 1126547765L, 1104027237L, 1081340445L, 1058490808L, 1035481766L, 1012316784L,
+ 988999351L, 965532978L, 941921200L, 918167572L, 894275671L, 870249095L,
+ 846091463L, 821806413L, 797397602L, 772868706L, 748223418L, 723465451L,
+ 698598533L, 673626408L, 648552838L, 623381598L, 598116479L, 572761285L,
+ 547319836L, 521795963L, 496193509L, 470516330L, 444768294L, 418953276L,
+ 393075166L, 367137861L, 341145265L, 315101295L, 289009871L, 262874923L,
+ 236700388L, 210490206L, 184248325L, 157978697L, 131685278L, 105372028L,
+ 79042909L, 52701887L, 26352928L, 0L, -26352928L, -52701887L, -79042909L,
+ -105372028L, -131685278L, -157978697L, -184248325L, -210490206L, -236700388L,
+ -262874923L, -289009871L, -315101295L, -341145265L, -367137861L, -393075166L,
+ -418953276L, -444768294L, -470516330L, -496193509L, -521795963L, -547319836L,
+ -572761285L, -598116479L, -623381598L, -648552838L, -673626408L, -698598533L,
+ -723465451L, -748223418L, -772868706L, -797397602L, -821806413L, -846091463L,
+ -870249095L, -894275671L, -918167572L, -941921200L, -965532978L, -988999351L,
+ -1012316784L, -1035481766L, -1058490808L, -1081340445L, -1104027237L,
+ -1126547765L, -1148898640L, -1171076495L, -1193077991L, -1214899813L,
+ -1236538675L, -1257991320L, -1279254516L, -1300325060L, -1321199781L,
+ -1341875533L, -1362349204L, -1382617710L, -1402678000L, -1422527051L,
+ -1442161874L, -1461579514L, -1480777044L, -1499751576L, -1518500250L,
+ -1537020244L, -1555308768L, -1573363068L, -1591180426L, -1608758157L,
+ -1626093616L, -1643184191L, -1660027308L, -1676620432L, -1692961062L,
+ -1709046739L, -1724875040L, -1740443581L, -1755750017L, -1770792044L,
+ -1785567396L, -1800073849L, -1814309216L, -1828271356L, -1841958164L,
+ -1855367581L, -1868497586L, -1881346202L, -1893911494L, -1906191570L,
+ -1918184581L, -1929888720L, -1941302225L, -1952423377L, -1963250501L,
+ -1973781967L, -1984016189L, -1993951625L, -2003586779L, -2012920201L,
+ -2021950484L, -2030676269L, -2039096241L, -2047209133L, -2055013723L,
+ -2062508835L, -2069693342L, -2076566160L, -2083126254L, -2089372638L,
+ -2095304370L, -2100920556L, -2106220352L, -2111202959L, -2115867626L,
+ -2120213651L, -2124240380L, -2127947206L, -2131333572L, -2134398966L,
+ -2137142927L, -2139565043L, -2141664948L, -2143442326L, -2144896910L,
+ -2146028480L, -2146836866L, -2147321946L, (q31_t)0x80000000, -2147321946L,
+ -2146836866L, -2146028480L, -2144896910L, -2143442326L, -2141664948L,
+ -2139565043L, -2137142927L, -2134398966L, -2131333572L, -2127947206L,
+ -2124240380L, -2120213651L, -2115867626L, -2111202959L, -2106220352L,
+ -2100920556L, -2095304370L, -2089372638L, -2083126254L, -2076566160L,
+ -2069693342L, -2062508835L, -2055013723L, -2047209133L, -2039096241L,
+ -2030676269L, -2021950484L, -2012920201L, -2003586779L, -1993951625L,
+ -1984016189L, -1973781967L, -1963250501L, -1952423377L, -1941302225L,
+ -1929888720L, -1918184581L, -1906191570L, -1893911494L, -1881346202L,
+ -1868497586L, -1855367581L, -1841958164L, -1828271356L, -1814309216L,
+ -1800073849L, -1785567396L, -1770792044L, -1755750017L, -1740443581L,
+ -1724875040L, -1709046739L, -1692961062L, -1676620432L, -1660027308L,
+ -1643184191L, -1626093616L, -1608758157L, -1591180426L, -1573363068L,
+ -1555308768L, -1537020244L, -1518500250L, -1499751576L, -1480777044L,
+ -1461579514L, -1442161874L, -1422527051L, -1402678000L, -1382617710L,
+ -1362349204L, -1341875533L, -1321199781L, -1300325060L, -1279254516L,
+ -1257991320L, -1236538675L, -1214899813L, -1193077991L, -1171076495L,
+ -1148898640L, -1126547765L, -1104027237L, -1081340445L, -1058490808L,
+ -1035481766L, -1012316784L, -988999351L, -965532978L, -941921200L,
+ -918167572L, -894275671L, -870249095L, -846091463L, -821806413L, -797397602L,
+ -772868706L, -748223418L, -723465451L, -698598533L, -673626408L, -648552838L,
+ -623381598L, -598116479L, -572761285L, -547319836L, -521795963L, -496193509L,
+ -470516330L, -444768294L, -418953276L, -393075166L, -367137861L, -341145265L,
+ -315101295L, -289009871L, -262874923L, -236700388L, -210490206L, -184248325L,
+ -157978697L, -131685278L, -105372028L, -79042909L, -52701887L, -26352928L, 0
+};
+
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15)
+/**
+ @par
+ Table values are in Q15 (1.15 fixed-point format) and generation is done in
+ three steps. First, generate sin values in floating point:
+
+ tableSize = 512;
+ for (n = 0; n < (tableSize + 1); n++)
+ {
+ sinTable[n] = sin(2*PI*n/tableSize);
+ }
+ where PI value is 3.14159265358979
+ @par
+ Second, convert floating-point to Q15 (Fixed point):
+ (sinTable[i] * pow(2, 15))
+ @par
+ Finally, round to the nearest integer value:
+ sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);
+ */
+const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = {
+ 0, 402, 804, 1206, 1608, 2009, 2411, 2811, 3212, 3612, 4011, 4410, 4808,
+ 5205, 5602, 5998, 6393, 6787, 7180, 7571, 7962, 8351, 8740, 9127, 9512,
+ 9896, 10279, 10660, 11039, 11417, 11793, 12167, 12540, 12910, 13279,
+ 13646, 14010, 14373, 14733, 15091, 15447, 15800, 16151, 16500, 16846,
+ 17190, 17531, 17869, 18205, 18538, 18868, 19195, 19520, 19841, 20160,
+ 20475, 20788, 21097, 21403, 21706, 22006, 22302, 22595, 22884, 23170,
+ 23453, 23732, 24008, 24279, 24548, 24812, 25073, 25330, 25583, 25833,
+ 26078, 26320, 26557, 26791, 27020, 27246, 27467, 27684, 27897, 28106,
+ 28311, 28511, 28707, 28899, 29086, 29269, 29448, 29622, 29792, 29957,
+ 30118, 30274, 30425, 30572, 30715, 30853, 30986, 31114, 31238, 31357,
+ 31471, 31581, 31686, 31786, 31881, 31972, 32058, 32138, 32214, 32286,
+ 32352, 32413, 32470, 32522, 32568, 32610, 32647, 32679, 32706, 32729,
+ 32746, 32758, 32766, 32767, 32766, 32758, 32746, 32729, 32706, 32679,
+ 32647, 32610, 32568, 32522, 32470, 32413, 32352, 32286, 32214, 32138,
+ 32058, 31972, 31881, 31786, 31686, 31581, 31471, 31357, 31238, 31114,
+ 30986, 30853, 30715, 30572, 30425, 30274, 30118, 29957, 29792, 29622,
+ 29448, 29269, 29086, 28899, 28707, 28511, 28311, 28106, 27897, 27684,
+ 27467, 27246, 27020, 26791, 26557, 26320, 26078, 25833, 25583, 25330,
+ 25073, 24812, 24548, 24279, 24008, 23732, 23453, 23170, 22884, 22595,
+ 22302, 22006, 21706, 21403, 21097, 20788, 20475, 20160, 19841, 19520,
+ 19195, 18868, 18538, 18205, 17869, 17531, 17190, 16846, 16500, 16151,
+ 15800, 15447, 15091, 14733, 14373, 14010, 13646, 13279, 12910, 12540,
+ 12167, 11793, 11417, 11039, 10660, 10279, 9896, 9512, 9127, 8740, 8351,
+ 7962, 7571, 7180, 6787, 6393, 5998, 5602, 5205, 4808, 4410, 4011, 3612,
+ 3212, 2811, 2411, 2009, 1608, 1206, 804, 402, 0, -402, -804, -1206,
+ -1608, -2009, -2411, -2811, -3212, -3612, -4011, -4410, -4808, -5205,
+ -5602, -5998, -6393, -6787, -7180, -7571, -7962, -8351, -8740, -9127,
+ -9512, -9896, -10279, -10660, -11039, -11417, -11793, -12167, -12540,
+ -12910, -13279, -13646, -14010, -14373, -14733, -15091, -15447, -15800,
+ -16151, -16500, -16846, -17190, -17531, -17869, -18205, -18538, -18868,
+ -19195, -19520, -19841, -20160, -20475, -20788, -21097, -21403, -21706,
+ -22006, -22302, -22595, -22884, -23170, -23453, -23732, -24008, -24279,
+ -24548, -24812, -25073, -25330, -25583, -25833, -26078, -26320, -26557,
+ -26791, -27020, -27246, -27467, -27684, -27897, -28106, -28311, -28511,
+ -28707, -28899, -29086, -29269, -29448, -29622, -29792, -29957, -30118,
+ -30274, -30425, -30572, -30715, -30853, -30986, -31114, -31238, -31357,
+ -31471, -31581, -31686, -31786, -31881, -31972, -32058, -32138, -32214,
+ -32286, -32352, -32413, -32470, -32522, -32568, -32610, -32647, -32679,
+ -32706, -32729, -32746, -32758, -32766, -32768, -32766, -32758, -32746,
+ -32729, -32706, -32679, -32647, -32610, -32568, -32522, -32470, -32413,
+ -32352, -32286, -32214, -32138, -32058, -31972, -31881, -31786, -31686,
+ -31581, -31471, -31357, -31238, -31114, -30986, -30853, -30715, -30572,
+ -30425, -30274, -30118, -29957, -29792, -29622, -29448, -29269, -29086,
+ -28899, -28707, -28511, -28311, -28106, -27897, -27684, -27467, -27246,
+ -27020, -26791, -26557, -26320, -26078, -25833, -25583, -25330, -25073,
+ -24812, -24548, -24279, -24008, -23732, -23453, -23170, -22884, -22595,
+ -22302, -22006, -21706, -21403, -21097, -20788, -20475, -20160, -19841,
+ -19520, -19195, -18868, -18538, -18205, -17869, -17531, -17190, -16846,
+ -16500, -16151, -15800, -15447, -15091, -14733, -14373, -14010, -13646,
+ -13279, -12910, -12540, -12167, -11793, -11417, -11039, -10660, -10279,
+ -9896, -9512, -9127, -8740, -8351, -7962, -7571, -7180, -6787, -6393,
+ -5998, -5602, -5205, -4808, -4410, -4011, -3612, -3212, -2811, -2411,
+ -2009, -1608, -1206, -804, -402, 0
+};
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
+const q31_t sqrtTable_Q31[256] = {
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x5ffffffe, 0x7ffffffa, 0x5e88c596, 0x7a39e2ff,
+ 0x5d2238d8, 0x74dfa6b1, 0x5bcb268e, 0x6fe69562,
+ 0x5a827998, 0x6b454dba, 0x5947373a, 0x66f39063,
+ 0x58187bf8, 0x62ea1669, 0x56f578e6, 0x5f226e5f,
+ 0x55dd714e, 0x5b96df40, 0x54cfb8b0, 0x58424fca,
+ 0x53cbb102, 0x552031c7, 0x52d0c92c, 0x522c7048,
+ 0x51de7bb2, 0x4f6360a9, 0x50f44d86, 0x4cc1b594,
+ 0x5011cd0a, 0x4a4473f6, 0x4f36911a, 0x47e8e962,
+ 0x4e62384e, 0x45aca3d0, 0x4d946838, 0x438d6a6a,
+ 0x4cccccca, 0x41893746, 0x4c0b17c0, 0x3f9e31fa,
+ 0x4b4f0022, 0x3dcaaac3, 0x4a9841ce, 0x3c0d1660,
+ 0x49e69d14, 0x3a640a53, 0x4939d654, 0x38ce39a6,
+ 0x4891b5b2, 0x374a720b, 0x47ee06ba, 0x35d7993c,
+ 0x474e9830, 0x3474aacc, 0x46b33bc0, 0x3320b60c,
+ 0x461bc5d2, 0x31dadc4f, 0x45880d4c, 0x30a24f3c,
+ 0x44f7eb6a, 0x2f764f6a, 0x446b3b92, 0x2e562b0b,
+ 0x43e1db32, 0x2d413cc9, 0x435ba98a, 0x2c36eab0,
+ 0x42d887a4, 0x2b36a542, 0x42585824, 0x2a3fe69b,
+ 0x41daff34, 0x295231b0, 0x41606266, 0x286d118d,
+ 0x40e868a4, 0x279018c3, 0x4072fa10, 0x26bae0c8,
+ 0x3ffffffe, 0x25ed0979, 0x3f8f64d2, 0x25263894,
+ 0x3f2113f8, 0x24661958, 0x3eb4f9d8, 0x23ac5c10,
+ 0x3e4b03ba, 0x22f8b5bb, 0x3de31fc4, 0x224adfba,
+ 0x3d7d3cee, 0x21a2977a, 0x3d194ae8, 0x20ff9e30,
+ 0x3cb73a24, 0x2061b89a, 0x3c56fbba, 0x1fc8aebb,
+ 0x3bf88166, 0x1f344ba6, 0x3b9bbd80, 0x1ea45d4b,
+ 0x3b40a2f0, 0x1e18b448, 0x3ae7252e, 0x1d9123b9,
+ 0x3a8f382c, 0x1d0d8113, 0x3a38d062, 0x1c8da3fb,
+ 0x39e3e2b6, 0x1c116628, 0x39906482, 0x1b98a33c,
+ 0x393e4b8a, 0x1b2338aa, 0x38ed8df6, 0x1ab1059a,
+ 0x389e2250, 0x1a41eace, 0x384fff7a, 0x19d5ca89,
+ 0x38031cb2, 0x196c887b, 0x37b77184, 0x190609a9,
+ 0x376cf5ce, 0x18a2345b, 0x3723a1ba, 0x1840f00a,
+ 0x36db6db6, 0x17e22550, 0x36945276, 0x1785bdd2,
+ 0x364e48f4, 0x172ba43e, 0x36094a64, 0x16d3c42c,
+ 0x35c55036, 0x167e0a1f, 0x35825414, 0x162a6372,
+ 0x35404fde, 0x15d8be4d, 0x34ff3dac, 0x1589099d,
+ 0x34bf17c4, 0x153b3508, 0x347fd89e, 0x14ef30e4,
+ 0x34417ade, 0x14a4ee2a, 0x3403f956, 0x145c5e76,
+ 0x33c74f02, 0x141573fa, 0x338b7706, 0x13d02171,
+ 0x33506cae, 0x138c5a28, 0x33162b6a, 0x134a11e6,
+ 0x32dcaed0, 0x13093cee, 0x32a3f294, 0x12c9cffa,
+ 0x326bf292, 0x128bc034, 0x3234aac0, 0x124f0330,
+ 0x31fe1736, 0x12138ee5, 0x31c83428, 0x11d959b0,
+ 0x3192fde6, 0x11a05a45, 0x315e70de, 0x116887b5,
+ 0x312a8994, 0x1131d960, 0x30f744aa, 0x10fc46fd,
+ 0x30c49ed6, 0x10c7c88b, 0x309294ea, 0x10945653,
+ 0x306123cc, 0x1061e8e6, 0x30304878, 0x10307919
+};
+ #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE)
+const q15_t sqrtTable_Q15[256] = {
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0,
+ 0x5fff, 0x7fff, 0x5e88, 0x7a39,
+ 0x5d22, 0x74df, 0x5bcb, 0x6fe6,
+ 0x5a82, 0x6b45, 0x5947, 0x66f3,
+ 0x5818, 0x62ea, 0x56f5, 0x5f22,
+ 0x55dd, 0x5b96, 0x54cf, 0x5842,
+ 0x53cb, 0x5520, 0x52d0, 0x522c,
+ 0x51de, 0x4f63, 0x50f4, 0x4cc1,
+ 0x5011, 0x4a44, 0x4f36, 0x47e8,
+ 0x4e62, 0x45ac, 0x4d94, 0x438d,
+ 0x4ccc, 0x4189, 0x4c0b, 0x3f9e,
+ 0x4b4f, 0x3dca, 0x4a98, 0x3c0d,
+ 0x49e6, 0x3a64, 0x4939, 0x38ce,
+ 0x4891, 0x374a, 0x47ee, 0x35d7,
+ 0x474e, 0x3474, 0x46b3, 0x3320,
+ 0x461b, 0x31da, 0x4588, 0x30a2,
+ 0x44f7, 0x2f76, 0x446b, 0x2e56,
+ 0x43e1, 0x2d41, 0x435b, 0x2c36,
+ 0x42d8, 0x2b36, 0x4258, 0x2a3f,
+ 0x41da, 0x2952, 0x4160, 0x286d,
+ 0x40e8, 0x2790, 0x4072, 0x26ba,
+ 0x3fff, 0x25ed, 0x3f8f, 0x2526,
+ 0x3f21, 0x2466, 0x3eb4, 0x23ac,
+ 0x3e4b, 0x22f8, 0x3de3, 0x224a,
+ 0x3d7d, 0x21a2, 0x3d19, 0x20ff,
+ 0x3cb7, 0x2061, 0x3c56, 0x1fc8,
+ 0x3bf8, 0x1f34, 0x3b9b, 0x1ea4,
+ 0x3b40, 0x1e18, 0x3ae7, 0x1d91,
+ 0x3a8f, 0x1d0d, 0x3a38, 0x1c8d,
+ 0x39e3, 0x1c11, 0x3990, 0x1b98,
+ 0x393e, 0x1b23, 0x38ed, 0x1ab1,
+ 0x389e, 0x1a41, 0x384f, 0x19d5,
+ 0x3803, 0x196c, 0x37b7, 0x1906,
+ 0x376c, 0x18a2, 0x3723, 0x1840,
+ 0x36db, 0x17e2, 0x3694, 0x1785,
+ 0x364e, 0x172b, 0x3609, 0x16d3,
+ 0x35c5, 0x167e, 0x3582, 0x162a,
+ 0x3540, 0x15d8, 0x34ff, 0x1589,
+ 0x34bf, 0x153b, 0x347f, 0x14ef,
+ 0x3441, 0x14a4, 0x3403, 0x145c,
+ 0x33c7, 0x1415, 0x338b, 0x13d0,
+ 0x3350, 0x138c, 0x3316, 0x134a,
+ 0x32dc, 0x1309, 0x32a3, 0x12c9,
+ 0x326b, 0x128b, 0x3234, 0x124f,
+ 0x31fe, 0x1213, 0x31c8, 0x11d9,
+ 0x3192, 0x11a0, 0x315e, 0x1168,
+ 0x312a, 0x1131, 0x30f7, 0x10fc,
+ 0x30c4, 0x10c7, 0x3092, 0x1094,
+ 0x3061, 0x1061, 0x3030, 0x1030
+};
+ #endif
+#endif /* defined(ARM_MATH_MVEI) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q31)
+/*
+ClearAll[tofix];
+tofix[q_][a_] := With[{r = Round[a*2^q]},
+ If[r > (2^q - 1), 2^q - 1, r]
+ ];
+
+(* For q = format, 2^nb is length of the table *)
+With[{q = 15, nb = 4, q12quarter = 16^^2000},
+ With[{shift = Echo[q - nb]},
+ Table[tofix[q][1.0/Sqrt[1.0*i/2^q]/8.0], {i, 2^(q - 2),
+ 2^q + q12quarter - 1, 2^shift}]]
+ ] // CopyToClipboard
+
+*/
+const q31_t sqrt_initial_lut_q31[32]={536870912, 506166750, 480191942, 457845052, 438353264, 421156193, \
+405836263, 392075079, 379625062, 368290407, 357913941, 348367849, \
+339546978, 331363921, 323745341, 316629190, 309962566, 303700050, \
+297802400, 292235509, 286969573, 281978417, 277238947, 272730696, \
+268435456, 264336964, 260420644, 256673389, 253083375, 249639903, \
+246333269, 243154642};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q31) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q15)
+const q15_t sqrt_initial_lut_q15[16]={8192, 7327, 6689, 6193, 5793, 5461, 5181, 4940, 4730, 4544, 4379, \
+4230, 4096, 3974, 3862, 3759};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q15) */
+
+
+#endif /* #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES) */
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+const float32_t exp_tab[8] = {
+ (1.f),
+ (0.0416598916054f),
+ (0.500000596046f),
+ (0.0014122662833f),
+ (1.00000011921f),
+ (0.00833693705499f),
+ (0.166665703058f),
+ (0.000195780929062f),
+};
+
+const float32_t __logf_lut_f32[8] = {
+ -2.295614848256274, /*p0*/
+ -2.470711633419806, /*p4*/
+ -5.686926051100417, /*p2*/
+ -0.165253547131978, /*p6*/
+ +5.175912446351073, /*p1*/
+ +0.844006986174912, /*p5*/
+ +4.584458825456749, /*p3*/
+ +0.014127821926000 /*p7*/
+};
+
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+/* haming weight LUT for bytes */
+#define B2(n) n, n + 1, n + 1, n + 2
+#define B4(n) B2(n) , B2(n + 1), B2(n + 1), B2(n + 2)
+#define B6(n) B4(n) , B4(n + 1), B4(n + 1), B4(n + 2)
+
+// Lookup table that store the reverse of each table
+const unsigned char hwLUT[256] = { B6(0), B6(1), B6(1), B6(2) };
+
+#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables_f16.c
new file mode 100644
index 00000000..ef14c84b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables_f16.c
@@ -0,0 +1,12586 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_common_tables_f16.c
+ * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math_types_f16.h"
+/**
+ @ingroup ComplexFFT
+ */
+
+/**
+ @addtogroup CFFT_CIFFT Complex FFT Tables
+ @{
+ */
+
+
+/**
+ @brief Floating-point Twiddle factors Table Generation
+*/
+
+/* F16 */
+#if !defined(__CC_ARM)
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+#include "arm_common_tables_f16.h"
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_16)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 16 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_16[32] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.923879533f, (float16_t)0.382683432f,
+ (float16_t)0.707106781f, (float16_t)0.707106781f,
+ (float16_t)0.382683432f, (float16_t)0.923879533f,
+ (float16_t)0.000000000f, (float16_t)1.000000000f,
+ (float16_t)-0.382683432f, (float16_t)0.923879533f,
+ (float16_t)-0.707106781f, (float16_t)0.707106781f,
+ (float16_t)-0.923879533f, (float16_t)0.382683432f,
+ (float16_t)-1.000000000f, (float16_t)0.000000000f,
+ (float16_t)-0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)-0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)-0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)-0.000000000f, (float16_t)-1.000000000f,
+ (float16_t)0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_32)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 32 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_32[64] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.923879533f, (float16_t)0.382683432f,
+ (float16_t)0.831469612f, (float16_t)0.555570233f,
+ (float16_t)0.707106781f, (float16_t)0.707106781f,
+ (float16_t)0.555570233f, (float16_t)0.831469612f,
+ (float16_t)0.382683432f, (float16_t)0.923879533f,
+ (float16_t)0.195090322f, (float16_t)0.980785280f,
+ (float16_t)0.000000000f, (float16_t)1.000000000f,
+ (float16_t)-0.195090322f, (float16_t)0.980785280f,
+ (float16_t)-0.382683432f, (float16_t)0.923879533f,
+ (float16_t)-0.555570233f, (float16_t)0.831469612f,
+ (float16_t)-0.707106781f, (float16_t)0.707106781f,
+ (float16_t)-0.831469612f, (float16_t)0.555570233f,
+ (float16_t)-0.923879533f, (float16_t)0.382683432f,
+ (float16_t)-0.980785280f, (float16_t)0.195090322f,
+ (float16_t)-1.000000000f, (float16_t)0.000000000f,
+ (float16_t)-0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)-0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)-0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)-0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)-0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)-0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)-0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)-0.000000000f, (float16_t)-1.000000000f,
+ (float16_t)0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f
+};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_64)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 64 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_64[128] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.995184727f, (float16_t)0.098017140f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.956940336f, (float16_t)0.290284677f,
+ (float16_t)0.923879533f, (float16_t)0.382683432f,
+ (float16_t)0.881921264f, (float16_t)0.471396737f,
+ (float16_t)0.831469612f, (float16_t)0.555570233f,
+ (float16_t)0.773010453f, (float16_t)0.634393284f,
+ (float16_t)0.707106781f, (float16_t)0.707106781f,
+ (float16_t)0.634393284f, (float16_t)0.773010453f,
+ (float16_t)0.555570233f, (float16_t)0.831469612f,
+ (float16_t)0.471396737f, (float16_t)0.881921264f,
+ (float16_t)0.382683432f, (float16_t)0.923879533f,
+ (float16_t)0.290284677f, (float16_t)0.956940336f,
+ (float16_t)0.195090322f, (float16_t)0.980785280f,
+ (float16_t)0.098017140f, (float16_t)0.995184727f,
+ (float16_t)0.000000000f, (float16_t)1.000000000f,
+ (float16_t)-0.098017140f, (float16_t)0.995184727f,
+ (float16_t)-0.195090322f, (float16_t)0.980785280f,
+ (float16_t)-0.290284677f, (float16_t)0.956940336f,
+ (float16_t)-0.382683432f, (float16_t)0.923879533f,
+ (float16_t)-0.471396737f, (float16_t)0.881921264f,
+ (float16_t)-0.555570233f, (float16_t)0.831469612f,
+ (float16_t)-0.634393284f, (float16_t)0.773010453f,
+ (float16_t)-0.707106781f, (float16_t)0.707106781f,
+ (float16_t)-0.773010453f, (float16_t)0.634393284f,
+ (float16_t)-0.831469612f, (float16_t)0.555570233f,
+ (float16_t)-0.881921264f, (float16_t)0.471396737f,
+ (float16_t)-0.923879533f, (float16_t)0.382683432f,
+ (float16_t)-0.956940336f, (float16_t)0.290284677f,
+ (float16_t)-0.980785280f, (float16_t)0.195090322f,
+ (float16_t)-0.995184727f, (float16_t)0.098017140f,
+ (float16_t)-1.000000000f, (float16_t)0.000000000f,
+ (float16_t)-0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)-0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)-0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)-0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)-0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)-0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)-0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)-0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)-0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)-0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)-0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)-0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)-0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)-0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)-0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)-0.000000000f, (float16_t)-1.000000000f,
+ (float16_t)0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)0.995184727f, (float16_t)-0.098017140f
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_128)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 128 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+
+const float16_t twiddleCoefF16_128[256] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.998795456f, (float16_t)0.049067674f,
+ (float16_t)0.995184727f, (float16_t)0.098017140f,
+ (float16_t)0.989176510f, (float16_t)0.146730474f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.970031253f, (float16_t)0.242980180f,
+ (float16_t)0.956940336f, (float16_t)0.290284677f,
+ (float16_t)0.941544065f, (float16_t)0.336889853f,
+ (float16_t)0.923879533f, (float16_t)0.382683432f,
+ (float16_t)0.903989293f, (float16_t)0.427555093f,
+ (float16_t)0.881921264f, (float16_t)0.471396737f,
+ (float16_t)0.857728610f, (float16_t)0.514102744f,
+ (float16_t)0.831469612f, (float16_t)0.555570233f,
+ (float16_t)0.803207531f, (float16_t)0.595699304f,
+ (float16_t)0.773010453f, (float16_t)0.634393284f,
+ (float16_t)0.740951125f, (float16_t)0.671558955f,
+ (float16_t)0.707106781f, (float16_t)0.707106781f,
+ (float16_t)0.671558955f, (float16_t)0.740951125f,
+ (float16_t)0.634393284f, (float16_t)0.773010453f,
+ (float16_t)0.595699304f, (float16_t)0.803207531f,
+ (float16_t)0.555570233f, (float16_t)0.831469612f,
+ (float16_t)0.514102744f, (float16_t)0.857728610f,
+ (float16_t)0.471396737f, (float16_t)0.881921264f,
+ (float16_t)0.427555093f, (float16_t)0.903989293f,
+ (float16_t)0.382683432f, (float16_t)0.923879533f,
+ (float16_t)0.336889853f, (float16_t)0.941544065f,
+ (float16_t)0.290284677f, (float16_t)0.956940336f,
+ (float16_t)0.242980180f, (float16_t)0.970031253f,
+ (float16_t)0.195090322f, (float16_t)0.980785280f,
+ (float16_t)0.146730474f, (float16_t)0.989176510f,
+ (float16_t)0.098017140f, (float16_t)0.995184727f,
+ (float16_t)0.049067674f, (float16_t)0.998795456f,
+ (float16_t)0.000000000f, (float16_t)1.000000000f,
+ (float16_t)-0.049067674f, (float16_t)0.998795456f,
+ (float16_t)-0.098017140f, (float16_t)0.995184727f,
+ (float16_t)-0.146730474f, (float16_t)0.989176510f,
+ (float16_t)-0.195090322f, (float16_t)0.980785280f,
+ (float16_t)-0.242980180f, (float16_t)0.970031253f,
+ (float16_t)-0.290284677f, (float16_t)0.956940336f,
+ (float16_t)-0.336889853f, (float16_t)0.941544065f,
+ (float16_t)-0.382683432f, (float16_t)0.923879533f,
+ (float16_t)-0.427555093f, (float16_t)0.903989293f,
+ (float16_t)-0.471396737f, (float16_t)0.881921264f,
+ (float16_t)-0.514102744f, (float16_t)0.857728610f,
+ (float16_t)-0.555570233f, (float16_t)0.831469612f,
+ (float16_t)-0.595699304f, (float16_t)0.803207531f,
+ (float16_t)-0.634393284f, (float16_t)0.773010453f,
+ (float16_t)-0.671558955f, (float16_t)0.740951125f,
+ (float16_t)-0.707106781f, (float16_t)0.707106781f,
+ (float16_t)-0.740951125f, (float16_t)0.671558955f,
+ (float16_t)-0.773010453f, (float16_t)0.634393284f,
+ (float16_t)-0.803207531f, (float16_t)0.595699304f,
+ (float16_t)-0.831469612f, (float16_t)0.555570233f,
+ (float16_t)-0.857728610f, (float16_t)0.514102744f,
+ (float16_t)-0.881921264f, (float16_t)0.471396737f,
+ (float16_t)-0.903989293f, (float16_t)0.427555093f,
+ (float16_t)-0.923879533f, (float16_t)0.382683432f,
+ (float16_t)-0.941544065f, (float16_t)0.336889853f,
+ (float16_t)-0.956940336f, (float16_t)0.290284677f,
+ (float16_t)-0.970031253f, (float16_t)0.242980180f,
+ (float16_t)-0.980785280f, (float16_t)0.195090322f,
+ (float16_t)-0.989176510f, (float16_t)0.146730474f,
+ (float16_t)-0.995184727f, (float16_t)0.098017140f,
+ (float16_t)-0.998795456f, (float16_t)0.049067674f,
+ (float16_t)-1.000000000f, (float16_t)0.000000000f,
+ (float16_t)-0.998795456f, (float16_t)-0.049067674f,
+ (float16_t)-0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)-0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)-0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)-0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)-0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)-0.941544065f, (float16_t)-0.336889853f,
+ (float16_t)-0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)-0.903989293f, (float16_t)-0.427555093f,
+ (float16_t)-0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)-0.857728610f, (float16_t)-0.514102744f,
+ (float16_t)-0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)-0.803207531f, (float16_t)-0.595699304f,
+ (float16_t)-0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)-0.740951125f, (float16_t)-0.671558955f,
+ (float16_t)-0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)-0.671558955f, (float16_t)-0.740951125f,
+ (float16_t)-0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)-0.595699304f, (float16_t)-0.803207531f,
+ (float16_t)-0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)-0.514102744f, (float16_t)-0.857728610f,
+ (float16_t)-0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)-0.427555093f, (float16_t)-0.903989293f,
+ (float16_t)-0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)-0.336889853f, (float16_t)-0.941544065f,
+ (float16_t)-0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)-0.242980180f, (float16_t)-0.970031253f,
+ (float16_t)-0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)-0.146730474f, (float16_t)-0.989176510f,
+ (float16_t)-0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)-0.049067674f, (float16_t)-0.998795456f,
+ (float16_t)-0.000000000f, (float16_t)-1.000000000f,
+ (float16_t)0.049067674f, (float16_t)-0.998795456f,
+ (float16_t)0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)0.146730474f, (float16_t)-0.989176510f,
+ (float16_t)0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)0.242980180f, (float16_t)-0.970031253f,
+ (float16_t)0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)0.336889853f, (float16_t)-0.941544065f,
+ (float16_t)0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)0.427555093f, (float16_t)-0.903989293f,
+ (float16_t)0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)0.514102744f, (float16_t)-0.857728610f,
+ (float16_t)0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)0.595699304f, (float16_t)-0.803207531f,
+ (float16_t)0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)0.671558955f, (float16_t)-0.740951125f,
+ (float16_t)0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)0.740951125f, (float16_t)-0.671558955f,
+ (float16_t)0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)0.803207531f, (float16_t)-0.595699304f,
+ (float16_t)0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)0.857728610f, (float16_t)-0.514102744f,
+ (float16_t)0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)0.903989293f, (float16_t)-0.427555093f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)0.941544065f, (float16_t)-0.336889853f,
+ (float16_t)0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)0.998795456f, (float16_t)-0.049067674f
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_256)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 256 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_256[512] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.999698819f, (float16_t)0.024541229f,
+ (float16_t)0.998795456f, (float16_t)0.049067674f,
+ (float16_t)0.997290457f, (float16_t)0.073564564f,
+ (float16_t)0.995184727f, (float16_t)0.098017140f,
+ (float16_t)0.992479535f, (float16_t)0.122410675f,
+ (float16_t)0.989176510f, (float16_t)0.146730474f,
+ (float16_t)0.985277642f, (float16_t)0.170961889f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.975702130f, (float16_t)0.219101240f,
+ (float16_t)0.970031253f, (float16_t)0.242980180f,
+ (float16_t)0.963776066f, (float16_t)0.266712757f,
+ (float16_t)0.956940336f, (float16_t)0.290284677f,
+ (float16_t)0.949528181f, (float16_t)0.313681740f,
+ (float16_t)0.941544065f, (float16_t)0.336889853f,
+ (float16_t)0.932992799f, (float16_t)0.359895037f,
+ (float16_t)0.923879533f, (float16_t)0.382683432f,
+ (float16_t)0.914209756f, (float16_t)0.405241314f,
+ (float16_t)0.903989293f, (float16_t)0.427555093f,
+ (float16_t)0.893224301f, (float16_t)0.449611330f,
+ (float16_t)0.881921264f, (float16_t)0.471396737f,
+ (float16_t)0.870086991f, (float16_t)0.492898192f,
+ (float16_t)0.857728610f, (float16_t)0.514102744f,
+ (float16_t)0.844853565f, (float16_t)0.534997620f,
+ (float16_t)0.831469612f, (float16_t)0.555570233f,
+ (float16_t)0.817584813f, (float16_t)0.575808191f,
+ (float16_t)0.803207531f, (float16_t)0.595699304f,
+ (float16_t)0.788346428f, (float16_t)0.615231591f,
+ (float16_t)0.773010453f, (float16_t)0.634393284f,
+ (float16_t)0.757208847f, (float16_t)0.653172843f,
+ (float16_t)0.740951125f, (float16_t)0.671558955f,
+ (float16_t)0.724247083f, (float16_t)0.689540545f,
+ (float16_t)0.707106781f, (float16_t)0.707106781f,
+ (float16_t)0.689540545f, (float16_t)0.724247083f,
+ (float16_t)0.671558955f, (float16_t)0.740951125f,
+ (float16_t)0.653172843f, (float16_t)0.757208847f,
+ (float16_t)0.634393284f, (float16_t)0.773010453f,
+ (float16_t)0.615231591f, (float16_t)0.788346428f,
+ (float16_t)0.595699304f, (float16_t)0.803207531f,
+ (float16_t)0.575808191f, (float16_t)0.817584813f,
+ (float16_t)0.555570233f, (float16_t)0.831469612f,
+ (float16_t)0.534997620f, (float16_t)0.844853565f,
+ (float16_t)0.514102744f, (float16_t)0.857728610f,
+ (float16_t)0.492898192f, (float16_t)0.870086991f,
+ (float16_t)0.471396737f, (float16_t)0.881921264f,
+ (float16_t)0.449611330f, (float16_t)0.893224301f,
+ (float16_t)0.427555093f, (float16_t)0.903989293f,
+ (float16_t)0.405241314f, (float16_t)0.914209756f,
+ (float16_t)0.382683432f, (float16_t)0.923879533f,
+ (float16_t)0.359895037f, (float16_t)0.932992799f,
+ (float16_t)0.336889853f, (float16_t)0.941544065f,
+ (float16_t)0.313681740f, (float16_t)0.949528181f,
+ (float16_t)0.290284677f, (float16_t)0.956940336f,
+ (float16_t)0.266712757f, (float16_t)0.963776066f,
+ (float16_t)0.242980180f, (float16_t)0.970031253f,
+ (float16_t)0.219101240f, (float16_t)0.975702130f,
+ (float16_t)0.195090322f, (float16_t)0.980785280f,
+ (float16_t)0.170961889f, (float16_t)0.985277642f,
+ (float16_t)0.146730474f, (float16_t)0.989176510f,
+ (float16_t)0.122410675f, (float16_t)0.992479535f,
+ (float16_t)0.098017140f, (float16_t)0.995184727f,
+ (float16_t)0.073564564f, (float16_t)0.997290457f,
+ (float16_t)0.049067674f, (float16_t)0.998795456f,
+ (float16_t)0.024541229f, (float16_t)0.999698819f,
+ (float16_t)0.000000000f, (float16_t)1.000000000f,
+ (float16_t)-0.024541229f, (float16_t)0.999698819f,
+ (float16_t)-0.049067674f, (float16_t)0.998795456f,
+ (float16_t)-0.073564564f, (float16_t)0.997290457f,
+ (float16_t)-0.098017140f, (float16_t)0.995184727f,
+ (float16_t)-0.122410675f, (float16_t)0.992479535f,
+ (float16_t)-0.146730474f, (float16_t)0.989176510f,
+ (float16_t)-0.170961889f, (float16_t)0.985277642f,
+ (float16_t)-0.195090322f, (float16_t)0.980785280f,
+ (float16_t)-0.219101240f, (float16_t)0.975702130f,
+ (float16_t)-0.242980180f, (float16_t)0.970031253f,
+ (float16_t)-0.266712757f, (float16_t)0.963776066f,
+ (float16_t)-0.290284677f, (float16_t)0.956940336f,
+ (float16_t)-0.313681740f, (float16_t)0.949528181f,
+ (float16_t)-0.336889853f, (float16_t)0.941544065f,
+ (float16_t)-0.359895037f, (float16_t)0.932992799f,
+ (float16_t)-0.382683432f, (float16_t)0.923879533f,
+ (float16_t)-0.405241314f, (float16_t)0.914209756f,
+ (float16_t)-0.427555093f, (float16_t)0.903989293f,
+ (float16_t)-0.449611330f, (float16_t)0.893224301f,
+ (float16_t)-0.471396737f, (float16_t)0.881921264f,
+ (float16_t)-0.492898192f, (float16_t)0.870086991f,
+ (float16_t)-0.514102744f, (float16_t)0.857728610f,
+ (float16_t)-0.534997620f, (float16_t)0.844853565f,
+ (float16_t)-0.555570233f, (float16_t)0.831469612f,
+ (float16_t)-0.575808191f, (float16_t)0.817584813f,
+ (float16_t)-0.595699304f, (float16_t)0.803207531f,
+ (float16_t)-0.615231591f, (float16_t)0.788346428f,
+ (float16_t)-0.634393284f, (float16_t)0.773010453f,
+ (float16_t)-0.653172843f, (float16_t)0.757208847f,
+ (float16_t)-0.671558955f, (float16_t)0.740951125f,
+ (float16_t)-0.689540545f, (float16_t)0.724247083f,
+ (float16_t)-0.707106781f, (float16_t)0.707106781f,
+ (float16_t)-0.724247083f, (float16_t)0.689540545f,
+ (float16_t)-0.740951125f, (float16_t)0.671558955f,
+ (float16_t)-0.757208847f, (float16_t)0.653172843f,
+ (float16_t)-0.773010453f, (float16_t)0.634393284f,
+ (float16_t)-0.788346428f, (float16_t)0.615231591f,
+ (float16_t)-0.803207531f, (float16_t)0.595699304f,
+ (float16_t)-0.817584813f, (float16_t)0.575808191f,
+ (float16_t)-0.831469612f, (float16_t)0.555570233f,
+ (float16_t)-0.844853565f, (float16_t)0.534997620f,
+ (float16_t)-0.857728610f, (float16_t)0.514102744f,
+ (float16_t)-0.870086991f, (float16_t)0.492898192f,
+ (float16_t)-0.881921264f, (float16_t)0.471396737f,
+ (float16_t)-0.893224301f, (float16_t)0.449611330f,
+ (float16_t)-0.903989293f, (float16_t)0.427555093f,
+ (float16_t)-0.914209756f, (float16_t)0.405241314f,
+ (float16_t)-0.923879533f, (float16_t)0.382683432f,
+ (float16_t)-0.932992799f, (float16_t)0.359895037f,
+ (float16_t)-0.941544065f, (float16_t)0.336889853f,
+ (float16_t)-0.949528181f, (float16_t)0.313681740f,
+ (float16_t)-0.956940336f, (float16_t)0.290284677f,
+ (float16_t)-0.963776066f, (float16_t)0.266712757f,
+ (float16_t)-0.970031253f, (float16_t)0.242980180f,
+ (float16_t)-0.975702130f, (float16_t)0.219101240f,
+ (float16_t)-0.980785280f, (float16_t)0.195090322f,
+ (float16_t)-0.985277642f, (float16_t)0.170961889f,
+ (float16_t)-0.989176510f, (float16_t)0.146730474f,
+ (float16_t)-0.992479535f, (float16_t)0.122410675f,
+ (float16_t)-0.995184727f, (float16_t)0.098017140f,
+ (float16_t)-0.997290457f, (float16_t)0.073564564f,
+ (float16_t)-0.998795456f, (float16_t)0.049067674f,
+ (float16_t)-0.999698819f, (float16_t)0.024541229f,
+ (float16_t)-1.000000000f, (float16_t)0.000000000f,
+ (float16_t)-0.999698819f, (float16_t)-0.024541229f,
+ (float16_t)-0.998795456f, (float16_t)-0.049067674f,
+ (float16_t)-0.997290457f, (float16_t)-0.073564564f,
+ (float16_t)-0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)-0.992479535f, (float16_t)-0.122410675f,
+ (float16_t)-0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)-0.985277642f, (float16_t)-0.170961889f,
+ (float16_t)-0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)-0.975702130f, (float16_t)-0.219101240f,
+ (float16_t)-0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)-0.963776066f, (float16_t)-0.266712757f,
+ (float16_t)-0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)-0.949528181f, (float16_t)-0.313681740f,
+ (float16_t)-0.941544065f, (float16_t)-0.336889853f,
+ (float16_t)-0.932992799f, (float16_t)-0.359895037f,
+ (float16_t)-0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)-0.914209756f, (float16_t)-0.405241314f,
+ (float16_t)-0.903989293f, (float16_t)-0.427555093f,
+ (float16_t)-0.893224301f, (float16_t)-0.449611330f,
+ (float16_t)-0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)-0.870086991f, (float16_t)-0.492898192f,
+ (float16_t)-0.857728610f, (float16_t)-0.514102744f,
+ (float16_t)-0.844853565f, (float16_t)-0.534997620f,
+ (float16_t)-0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)-0.817584813f, (float16_t)-0.575808191f,
+ (float16_t)-0.803207531f, (float16_t)-0.595699304f,
+ (float16_t)-0.788346428f, (float16_t)-0.615231591f,
+ (float16_t)-0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)-0.757208847f, (float16_t)-0.653172843f,
+ (float16_t)-0.740951125f, (float16_t)-0.671558955f,
+ (float16_t)-0.724247083f, (float16_t)-0.689540545f,
+ (float16_t)-0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)-0.689540545f, (float16_t)-0.724247083f,
+ (float16_t)-0.671558955f, (float16_t)-0.740951125f,
+ (float16_t)-0.653172843f, (float16_t)-0.757208847f,
+ (float16_t)-0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)-0.615231591f, (float16_t)-0.788346428f,
+ (float16_t)-0.595699304f, (float16_t)-0.803207531f,
+ (float16_t)-0.575808191f, (float16_t)-0.817584813f,
+ (float16_t)-0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)-0.534997620f, (float16_t)-0.844853565f,
+ (float16_t)-0.514102744f, (float16_t)-0.857728610f,
+ (float16_t)-0.492898192f, (float16_t)-0.870086991f,
+ (float16_t)-0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)-0.449611330f, (float16_t)-0.893224301f,
+ (float16_t)-0.427555093f, (float16_t)-0.903989293f,
+ (float16_t)-0.405241314f, (float16_t)-0.914209756f,
+ (float16_t)-0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)-0.359895037f, (float16_t)-0.932992799f,
+ (float16_t)-0.336889853f, (float16_t)-0.941544065f,
+ (float16_t)-0.313681740f, (float16_t)-0.949528181f,
+ (float16_t)-0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)-0.266712757f, (float16_t)-0.963776066f,
+ (float16_t)-0.242980180f, (float16_t)-0.970031253f,
+ (float16_t)-0.219101240f, (float16_t)-0.975702130f,
+ (float16_t)-0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)-0.170961889f, (float16_t)-0.985277642f,
+ (float16_t)-0.146730474f, (float16_t)-0.989176510f,
+ (float16_t)-0.122410675f, (float16_t)-0.992479535f,
+ (float16_t)-0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)-0.073564564f, (float16_t)-0.997290457f,
+ (float16_t)-0.049067674f, (float16_t)-0.998795456f,
+ (float16_t)-0.024541229f, (float16_t)-0.999698819f,
+ (float16_t)-0.000000000f, (float16_t)-1.000000000f,
+ (float16_t)0.024541229f, (float16_t)-0.999698819f,
+ (float16_t)0.049067674f, (float16_t)-0.998795456f,
+ (float16_t)0.073564564f, (float16_t)-0.997290457f,
+ (float16_t)0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)0.122410675f, (float16_t)-0.992479535f,
+ (float16_t)0.146730474f, (float16_t)-0.989176510f,
+ (float16_t)0.170961889f, (float16_t)-0.985277642f,
+ (float16_t)0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)0.219101240f, (float16_t)-0.975702130f,
+ (float16_t)0.242980180f, (float16_t)-0.970031253f,
+ (float16_t)0.266712757f, (float16_t)-0.963776066f,
+ (float16_t)0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)0.313681740f, (float16_t)-0.949528181f,
+ (float16_t)0.336889853f, (float16_t)-0.941544065f,
+ (float16_t)0.359895037f, (float16_t)-0.932992799f,
+ (float16_t)0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)0.405241314f, (float16_t)-0.914209756f,
+ (float16_t)0.427555093f, (float16_t)-0.903989293f,
+ (float16_t)0.449611330f, (float16_t)-0.893224301f,
+ (float16_t)0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)0.492898192f, (float16_t)-0.870086991f,
+ (float16_t)0.514102744f, (float16_t)-0.857728610f,
+ (float16_t)0.534997620f, (float16_t)-0.844853565f,
+ (float16_t)0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)0.575808191f, (float16_t)-0.817584813f,
+ (float16_t)0.595699304f, (float16_t)-0.803207531f,
+ (float16_t)0.615231591f, (float16_t)-0.788346428f,
+ (float16_t)0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)0.653172843f, (float16_t)-0.757208847f,
+ (float16_t)0.671558955f, (float16_t)-0.740951125f,
+ (float16_t)0.689540545f, (float16_t)-0.724247083f,
+ (float16_t)0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)0.724247083f, (float16_t)-0.689540545f,
+ (float16_t)0.740951125f, (float16_t)-0.671558955f,
+ (float16_t)0.757208847f, (float16_t)-0.653172843f,
+ (float16_t)0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)0.788346428f, (float16_t)-0.615231591f,
+ (float16_t)0.803207531f, (float16_t)-0.595699304f,
+ (float16_t)0.817584813f, (float16_t)-0.575808191f,
+ (float16_t)0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)0.844853565f, (float16_t)-0.534997620f,
+ (float16_t)0.857728610f, (float16_t)-0.514102744f,
+ (float16_t)0.870086991f, (float16_t)-0.492898192f,
+ (float16_t)0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)0.893224301f, (float16_t)-0.449611330f,
+ (float16_t)0.903989293f, (float16_t)-0.427555093f,
+ (float16_t)0.914209756f, (float16_t)-0.405241314f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)0.932992799f, (float16_t)-0.359895037f,
+ (float16_t)0.941544065f, (float16_t)-0.336889853f,
+ (float16_t)0.949528181f, (float16_t)-0.313681740f,
+ (float16_t)0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)0.963776066f, (float16_t)-0.266712757f,
+ (float16_t)0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)0.975702130f, (float16_t)-0.219101240f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)0.985277642f, (float16_t)-0.170961889f,
+ (float16_t)0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)0.992479535f, (float16_t)-0.122410675f,
+ (float16_t)0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)0.997290457f, (float16_t)-0.073564564f,
+ (float16_t)0.998795456f, (float16_t)-0.049067674f,
+ (float16_t)0.999698819f, (float16_t)-0.024541229f
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_512)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 512 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_512[1024] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.999924702f, (float16_t)0.012271538f,
+ (float16_t)0.999698819f, (float16_t)0.024541229f,
+ (float16_t)0.999322385f, (float16_t)0.036807223f,
+ (float16_t)0.998795456f, (float16_t)0.049067674f,
+ (float16_t)0.998118113f, (float16_t)0.061320736f,
+ (float16_t)0.997290457f, (float16_t)0.073564564f,
+ (float16_t)0.996312612f, (float16_t)0.085797312f,
+ (float16_t)0.995184727f, (float16_t)0.098017140f,
+ (float16_t)0.993906970f, (float16_t)0.110222207f,
+ (float16_t)0.992479535f, (float16_t)0.122410675f,
+ (float16_t)0.990902635f, (float16_t)0.134580709f,
+ (float16_t)0.989176510f, (float16_t)0.146730474f,
+ (float16_t)0.987301418f, (float16_t)0.158858143f,
+ (float16_t)0.985277642f, (float16_t)0.170961889f,
+ (float16_t)0.983105487f, (float16_t)0.183039888f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.978317371f, (float16_t)0.207111376f,
+ (float16_t)0.975702130f, (float16_t)0.219101240f,
+ (float16_t)0.972939952f, (float16_t)0.231058108f,
+ (float16_t)0.970031253f, (float16_t)0.242980180f,
+ (float16_t)0.966976471f, (float16_t)0.254865660f,
+ (float16_t)0.963776066f, (float16_t)0.266712757f,
+ (float16_t)0.960430519f, (float16_t)0.278519689f,
+ (float16_t)0.956940336f, (float16_t)0.290284677f,
+ (float16_t)0.953306040f, (float16_t)0.302005949f,
+ (float16_t)0.949528181f, (float16_t)0.313681740f,
+ (float16_t)0.945607325f, (float16_t)0.325310292f,
+ (float16_t)0.941544065f, (float16_t)0.336889853f,
+ (float16_t)0.937339012f, (float16_t)0.348418680f,
+ (float16_t)0.932992799f, (float16_t)0.359895037f,
+ (float16_t)0.928506080f, (float16_t)0.371317194f,
+ (float16_t)0.923879533f, (float16_t)0.382683432f,
+ (float16_t)0.919113852f, (float16_t)0.393992040f,
+ (float16_t)0.914209756f, (float16_t)0.405241314f,
+ (float16_t)0.909167983f, (float16_t)0.416429560f,
+ (float16_t)0.903989293f, (float16_t)0.427555093f,
+ (float16_t)0.898674466f, (float16_t)0.438616239f,
+ (float16_t)0.893224301f, (float16_t)0.449611330f,
+ (float16_t)0.887639620f, (float16_t)0.460538711f,
+ (float16_t)0.881921264f, (float16_t)0.471396737f,
+ (float16_t)0.876070094f, (float16_t)0.482183772f,
+ (float16_t)0.870086991f, (float16_t)0.492898192f,
+ (float16_t)0.863972856f, (float16_t)0.503538384f,
+ (float16_t)0.857728610f, (float16_t)0.514102744f,
+ (float16_t)0.851355193f, (float16_t)0.524589683f,
+ (float16_t)0.844853565f, (float16_t)0.534997620f,
+ (float16_t)0.838224706f, (float16_t)0.545324988f,
+ (float16_t)0.831469612f, (float16_t)0.555570233f,
+ (float16_t)0.824589303f, (float16_t)0.565731811f,
+ (float16_t)0.817584813f, (float16_t)0.575808191f,
+ (float16_t)0.810457198f, (float16_t)0.585797857f,
+ (float16_t)0.803207531f, (float16_t)0.595699304f,
+ (float16_t)0.795836905f, (float16_t)0.605511041f,
+ (float16_t)0.788346428f, (float16_t)0.615231591f,
+ (float16_t)0.780737229f, (float16_t)0.624859488f,
+ (float16_t)0.773010453f, (float16_t)0.634393284f,
+ (float16_t)0.765167266f, (float16_t)0.643831543f,
+ (float16_t)0.757208847f, (float16_t)0.653172843f,
+ (float16_t)0.749136395f, (float16_t)0.662415778f,
+ (float16_t)0.740951125f, (float16_t)0.671558955f,
+ (float16_t)0.732654272f, (float16_t)0.680600998f,
+ (float16_t)0.724247083f, (float16_t)0.689540545f,
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+ (float16_t)-0.624859488f, (float16_t)-0.780737229f,
+ (float16_t)-0.615231591f, (float16_t)-0.788346428f,
+ (float16_t)-0.605511041f, (float16_t)-0.795836905f,
+ (float16_t)-0.595699304f, (float16_t)-0.803207531f,
+ (float16_t)-0.585797857f, (float16_t)-0.810457198f,
+ (float16_t)-0.575808191f, (float16_t)-0.817584813f,
+ (float16_t)-0.565731811f, (float16_t)-0.824589303f,
+ (float16_t)-0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)-0.545324988f, (float16_t)-0.838224706f,
+ (float16_t)-0.534997620f, (float16_t)-0.844853565f,
+ (float16_t)-0.524589683f, (float16_t)-0.851355193f,
+ (float16_t)-0.514102744f, (float16_t)-0.857728610f,
+ (float16_t)-0.503538384f, (float16_t)-0.863972856f,
+ (float16_t)-0.492898192f, (float16_t)-0.870086991f,
+ (float16_t)-0.482183772f, (float16_t)-0.876070094f,
+ (float16_t)-0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)-0.460538711f, (float16_t)-0.887639620f,
+ (float16_t)-0.449611330f, (float16_t)-0.893224301f,
+ (float16_t)-0.438616239f, (float16_t)-0.898674466f,
+ (float16_t)-0.427555093f, (float16_t)-0.903989293f,
+ (float16_t)-0.416429560f, (float16_t)-0.909167983f,
+ (float16_t)-0.405241314f, (float16_t)-0.914209756f,
+ (float16_t)-0.393992040f, (float16_t)-0.919113852f,
+ (float16_t)-0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)-0.371317194f, (float16_t)-0.928506080f,
+ (float16_t)-0.359895037f, (float16_t)-0.932992799f,
+ (float16_t)-0.348418680f, (float16_t)-0.937339012f,
+ (float16_t)-0.336889853f, (float16_t)-0.941544065f,
+ (float16_t)-0.325310292f, (float16_t)-0.945607325f,
+ (float16_t)-0.313681740f, (float16_t)-0.949528181f,
+ (float16_t)-0.302005949f, (float16_t)-0.953306040f,
+ (float16_t)-0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)-0.278519689f, (float16_t)-0.960430519f,
+ (float16_t)-0.266712757f, (float16_t)-0.963776066f,
+ (float16_t)-0.254865660f, (float16_t)-0.966976471f,
+ (float16_t)-0.242980180f, (float16_t)-0.970031253f,
+ (float16_t)-0.231058108f, (float16_t)-0.972939952f,
+ (float16_t)-0.219101240f, (float16_t)-0.975702130f,
+ (float16_t)-0.207111376f, (float16_t)-0.978317371f,
+ (float16_t)-0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)-0.183039888f, (float16_t)-0.983105487f,
+ (float16_t)-0.170961889f, (float16_t)-0.985277642f,
+ (float16_t)-0.158858143f, (float16_t)-0.987301418f,
+ (float16_t)-0.146730474f, (float16_t)-0.989176510f,
+ (float16_t)-0.134580709f, (float16_t)-0.990902635f,
+ (float16_t)-0.122410675f, (float16_t)-0.992479535f,
+ (float16_t)-0.110222207f, (float16_t)-0.993906970f,
+ (float16_t)-0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)-0.085797312f, (float16_t)-0.996312612f,
+ (float16_t)-0.073564564f, (float16_t)-0.997290457f,
+ (float16_t)-0.061320736f, (float16_t)-0.998118113f,
+ (float16_t)-0.049067674f, (float16_t)-0.998795456f,
+ (float16_t)-0.036807223f, (float16_t)-0.999322385f,
+ (float16_t)-0.024541229f, (float16_t)-0.999698819f,
+ (float16_t)-0.012271538f, (float16_t)-0.999924702f,
+ (float16_t)-0.000000000f, (float16_t)-1.000000000f,
+ (float16_t)0.012271538f, (float16_t)-0.999924702f,
+ (float16_t)0.024541229f, (float16_t)-0.999698819f,
+ (float16_t)0.036807223f, (float16_t)-0.999322385f,
+ (float16_t)0.049067674f, (float16_t)-0.998795456f,
+ (float16_t)0.061320736f, (float16_t)-0.998118113f,
+ (float16_t)0.073564564f, (float16_t)-0.997290457f,
+ (float16_t)0.085797312f, (float16_t)-0.996312612f,
+ (float16_t)0.098017140f, (float16_t)-0.995184727f,
+ (float16_t)0.110222207f, (float16_t)-0.993906970f,
+ (float16_t)0.122410675f, (float16_t)-0.992479535f,
+ (float16_t)0.134580709f, (float16_t)-0.990902635f,
+ (float16_t)0.146730474f, (float16_t)-0.989176510f,
+ (float16_t)0.158858143f, (float16_t)-0.987301418f,
+ (float16_t)0.170961889f, (float16_t)-0.985277642f,
+ (float16_t)0.183039888f, (float16_t)-0.983105487f,
+ (float16_t)0.195090322f, (float16_t)-0.980785280f,
+ (float16_t)0.207111376f, (float16_t)-0.978317371f,
+ (float16_t)0.219101240f, (float16_t)-0.975702130f,
+ (float16_t)0.231058108f, (float16_t)-0.972939952f,
+ (float16_t)0.242980180f, (float16_t)-0.970031253f,
+ (float16_t)0.254865660f, (float16_t)-0.966976471f,
+ (float16_t)0.266712757f, (float16_t)-0.963776066f,
+ (float16_t)0.278519689f, (float16_t)-0.960430519f,
+ (float16_t)0.290284677f, (float16_t)-0.956940336f,
+ (float16_t)0.302005949f, (float16_t)-0.953306040f,
+ (float16_t)0.313681740f, (float16_t)-0.949528181f,
+ (float16_t)0.325310292f, (float16_t)-0.945607325f,
+ (float16_t)0.336889853f, (float16_t)-0.941544065f,
+ (float16_t)0.348418680f, (float16_t)-0.937339012f,
+ (float16_t)0.359895037f, (float16_t)-0.932992799f,
+ (float16_t)0.371317194f, (float16_t)-0.928506080f,
+ (float16_t)0.382683432f, (float16_t)-0.923879533f,
+ (float16_t)0.393992040f, (float16_t)-0.919113852f,
+ (float16_t)0.405241314f, (float16_t)-0.914209756f,
+ (float16_t)0.416429560f, (float16_t)-0.909167983f,
+ (float16_t)0.427555093f, (float16_t)-0.903989293f,
+ (float16_t)0.438616239f, (float16_t)-0.898674466f,
+ (float16_t)0.449611330f, (float16_t)-0.893224301f,
+ (float16_t)0.460538711f, (float16_t)-0.887639620f,
+ (float16_t)0.471396737f, (float16_t)-0.881921264f,
+ (float16_t)0.482183772f, (float16_t)-0.876070094f,
+ (float16_t)0.492898192f, (float16_t)-0.870086991f,
+ (float16_t)0.503538384f, (float16_t)-0.863972856f,
+ (float16_t)0.514102744f, (float16_t)-0.857728610f,
+ (float16_t)0.524589683f, (float16_t)-0.851355193f,
+ (float16_t)0.534997620f, (float16_t)-0.844853565f,
+ (float16_t)0.545324988f, (float16_t)-0.838224706f,
+ (float16_t)0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)0.565731811f, (float16_t)-0.824589303f,
+ (float16_t)0.575808191f, (float16_t)-0.817584813f,
+ (float16_t)0.585797857f, (float16_t)-0.810457198f,
+ (float16_t)0.595699304f, (float16_t)-0.803207531f,
+ (float16_t)0.605511041f, (float16_t)-0.795836905f,
+ (float16_t)0.615231591f, (float16_t)-0.788346428f,
+ (float16_t)0.624859488f, (float16_t)-0.780737229f,
+ (float16_t)0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)0.643831543f, (float16_t)-0.765167266f,
+ (float16_t)0.653172843f, (float16_t)-0.757208847f,
+ (float16_t)0.662415778f, (float16_t)-0.749136395f,
+ (float16_t)0.671558955f, (float16_t)-0.740951125f,
+ (float16_t)0.680600998f, (float16_t)-0.732654272f,
+ (float16_t)0.689540545f, (float16_t)-0.724247083f,
+ (float16_t)0.698376249f, (float16_t)-0.715730825f,
+ (float16_t)0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)0.715730825f, (float16_t)-0.698376249f,
+ (float16_t)0.724247083f, (float16_t)-0.689540545f,
+ (float16_t)0.732654272f, (float16_t)-0.680600998f,
+ (float16_t)0.740951125f, (float16_t)-0.671558955f,
+ (float16_t)0.749136395f, (float16_t)-0.662415778f,
+ (float16_t)0.757208847f, (float16_t)-0.653172843f,
+ (float16_t)0.765167266f, (float16_t)-0.643831543f,
+ (float16_t)0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)0.780737229f, (float16_t)-0.624859488f,
+ (float16_t)0.788346428f, (float16_t)-0.615231591f,
+ (float16_t)0.795836905f, (float16_t)-0.605511041f,
+ (float16_t)0.803207531f, (float16_t)-0.595699304f,
+ (float16_t)0.810457198f, (float16_t)-0.585797857f,
+ (float16_t)0.817584813f, (float16_t)-0.575808191f,
+ (float16_t)0.824589303f, (float16_t)-0.565731811f,
+ (float16_t)0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)0.838224706f, (float16_t)-0.545324988f,
+ (float16_t)0.844853565f, (float16_t)-0.534997620f,
+ (float16_t)0.851355193f, (float16_t)-0.524589683f,
+ (float16_t)0.857728610f, (float16_t)-0.514102744f,
+ (float16_t)0.863972856f, (float16_t)-0.503538384f,
+ (float16_t)0.870086991f, (float16_t)-0.492898192f,
+ (float16_t)0.876070094f, (float16_t)-0.482183772f,
+ (float16_t)0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)0.887639620f, (float16_t)-0.460538711f,
+ (float16_t)0.893224301f, (float16_t)-0.449611330f,
+ (float16_t)0.898674466f, (float16_t)-0.438616239f,
+ (float16_t)0.903989293f, (float16_t)-0.427555093f,
+ (float16_t)0.909167983f, (float16_t)-0.416429560f,
+ (float16_t)0.914209756f, (float16_t)-0.405241314f,
+ (float16_t)0.919113852f, (float16_t)-0.393992040f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)0.928506080f, (float16_t)-0.371317194f,
+ (float16_t)0.932992799f, (float16_t)-0.359895037f,
+ (float16_t)0.937339012f, (float16_t)-0.348418680f,
+ (float16_t)0.941544065f, (float16_t)-0.336889853f,
+ (float16_t)0.945607325f, (float16_t)-0.325310292f,
+ (float16_t)0.949528181f, (float16_t)-0.313681740f,
+ (float16_t)0.953306040f, (float16_t)-0.302005949f,
+ (float16_t)0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)0.960430519f, (float16_t)-0.278519689f,
+ (float16_t)0.963776066f, (float16_t)-0.266712757f,
+ (float16_t)0.966976471f, (float16_t)-0.254865660f,
+ (float16_t)0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)0.972939952f, (float16_t)-0.231058108f,
+ (float16_t)0.975702130f, (float16_t)-0.219101240f,
+ (float16_t)0.978317371f, (float16_t)-0.207111376f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)0.983105487f, (float16_t)-0.183039888f,
+ (float16_t)0.985277642f, (float16_t)-0.170961889f,
+ (float16_t)0.987301418f, (float16_t)-0.158858143f,
+ (float16_t)0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)0.990902635f, (float16_t)-0.134580709f,
+ (float16_t)0.992479535f, (float16_t)-0.122410675f,
+ (float16_t)0.993906970f, (float16_t)-0.110222207f,
+ (float16_t)0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)0.996312612f, (float16_t)-0.085797312f,
+ (float16_t)0.997290457f, (float16_t)-0.073564564f,
+ (float16_t)0.998118113f, (float16_t)-0.061320736f,
+ (float16_t)0.998795456f, (float16_t)-0.049067674f,
+ (float16_t)0.999322385f, (float16_t)-0.036807223f,
+ (float16_t)0.999698819f, (float16_t)-0.024541229f,
+ (float16_t)0.999924702f, (float16_t)-0.012271538f
+};
+
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_1024)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 1024 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_1024[2048] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.999981175f, (float16_t)0.006135885f,
+ (float16_t)0.999924702f, (float16_t)0.012271538f,
+ (float16_t)0.999830582f, (float16_t)0.018406730f,
+ (float16_t)0.999698819f, (float16_t)0.024541229f,
+ (float16_t)0.999529418f, (float16_t)0.030674803f,
+ (float16_t)0.999322385f, (float16_t)0.036807223f,
+ (float16_t)0.999077728f, (float16_t)0.042938257f,
+ (float16_t)0.998795456f, (float16_t)0.049067674f,
+ (float16_t)0.998475581f, (float16_t)0.055195244f,
+ (float16_t)0.998118113f, (float16_t)0.061320736f,
+ (float16_t)0.997723067f, (float16_t)0.067443920f,
+ (float16_t)0.997290457f, (float16_t)0.073564564f,
+ (float16_t)0.996820299f, (float16_t)0.079682438f,
+ (float16_t)0.996312612f, (float16_t)0.085797312f,
+ (float16_t)0.995767414f, (float16_t)0.091908956f,
+ (float16_t)0.995184727f, (float16_t)0.098017140f,
+ (float16_t)0.994564571f, (float16_t)0.104121634f,
+ (float16_t)0.993906970f, (float16_t)0.110222207f,
+ (float16_t)0.993211949f, (float16_t)0.116318631f,
+ (float16_t)0.992479535f, (float16_t)0.122410675f,
+ (float16_t)0.991709754f, (float16_t)0.128498111f,
+ (float16_t)0.990902635f, (float16_t)0.134580709f,
+ (float16_t)0.990058210f, (float16_t)0.140658239f,
+ (float16_t)0.989176510f, (float16_t)0.146730474f,
+ (float16_t)0.988257568f, (float16_t)0.152797185f,
+ (float16_t)0.987301418f, (float16_t)0.158858143f,
+ (float16_t)0.986308097f, (float16_t)0.164913120f,
+ (float16_t)0.985277642f, (float16_t)0.170961889f,
+ (float16_t)0.984210092f, (float16_t)0.177004220f,
+ (float16_t)0.983105487f, (float16_t)0.183039888f,
+ (float16_t)0.981963869f, (float16_t)0.189068664f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.979569766f, (float16_t)0.201104635f,
+ (float16_t)0.978317371f, (float16_t)0.207111376f,
+ (float16_t)0.977028143f, (float16_t)0.213110320f,
+ (float16_t)0.975702130f, (float16_t)0.219101240f,
+ (float16_t)0.974339383f, (float16_t)0.225083911f,
+ (float16_t)0.972939952f, (float16_t)0.231058108f,
+ (float16_t)0.971503891f, (float16_t)0.237023606f,
+ (float16_t)0.970031253f, (float16_t)0.242980180f,
+ (float16_t)0.968522094f, (float16_t)0.248927606f,
+ (float16_t)0.966976471f, (float16_t)0.254865660f,
+ (float16_t)0.965394442f, (float16_t)0.260794118f,
+ (float16_t)0.963776066f, (float16_t)0.266712757f,
+ (float16_t)0.962121404f, (float16_t)0.272621355f,
+ (float16_t)0.960430519f, (float16_t)0.278519689f,
+ (float16_t)0.958703475f, (float16_t)0.284407537f,
+ (float16_t)0.956940336f, (float16_t)0.290284677f,
+ (float16_t)0.955141168f, (float16_t)0.296150888f,
+ (float16_t)0.953306040f, (float16_t)0.302005949f,
+ (float16_t)0.951435021f, (float16_t)0.307849640f,
+ (float16_t)0.949528181f, (float16_t)0.313681740f,
+ (float16_t)0.947585591f, (float16_t)0.319502031f,
+ (float16_t)0.945607325f, (float16_t)0.325310292f,
+ (float16_t)0.943593458f, (float16_t)0.331106306f,
+ (float16_t)0.941544065f, (float16_t)0.336889853f,
+ (float16_t)0.939459224f, (float16_t)0.342660717f,
+ (float16_t)0.937339012f, (float16_t)0.348418680f,
+ (float16_t)0.935183510f, (float16_t)0.354163525f,
+ (float16_t)0.932992799f, (float16_t)0.359895037f,
+ (float16_t)0.930766961f, (float16_t)0.365612998f,
+ (float16_t)0.928506080f, (float16_t)0.371317194f,
+ (float16_t)0.926210242f, (float16_t)0.377007410f,
+ (float16_t)0.923879533f, (float16_t)0.382683432f,
+ (float16_t)0.921514039f, (float16_t)0.388345047f,
+ (float16_t)0.919113852f, (float16_t)0.393992040f,
+ (float16_t)0.916679060f, (float16_t)0.399624200f,
+ (float16_t)0.914209756f, (float16_t)0.405241314f,
+ (float16_t)0.911706032f, (float16_t)0.410843171f,
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+ (float16_t)0.540171473f, (float16_t)-0.841554977f,
+ (float16_t)0.545324988f, (float16_t)-0.838224706f,
+ (float16_t)0.550457973f, (float16_t)-0.834862875f,
+ (float16_t)0.555570233f, (float16_t)-0.831469612f,
+ (float16_t)0.560661576f, (float16_t)-0.828045045f,
+ (float16_t)0.565731811f, (float16_t)-0.824589303f,
+ (float16_t)0.570780746f, (float16_t)-0.821102515f,
+ (float16_t)0.575808191f, (float16_t)-0.817584813f,
+ (float16_t)0.580813958f, (float16_t)-0.814036330f,
+ (float16_t)0.585797857f, (float16_t)-0.810457198f,
+ (float16_t)0.590759702f, (float16_t)-0.806847554f,
+ (float16_t)0.595699304f, (float16_t)-0.803207531f,
+ (float16_t)0.600616479f, (float16_t)-0.799537269f,
+ (float16_t)0.605511041f, (float16_t)-0.795836905f,
+ (float16_t)0.610382806f, (float16_t)-0.792106577f,
+ (float16_t)0.615231591f, (float16_t)-0.788346428f,
+ (float16_t)0.620057212f, (float16_t)-0.784556597f,
+ (float16_t)0.624859488f, (float16_t)-0.780737229f,
+ (float16_t)0.629638239f, (float16_t)-0.776888466f,
+ (float16_t)0.634393284f, (float16_t)-0.773010453f,
+ (float16_t)0.639124445f, (float16_t)-0.769103338f,
+ (float16_t)0.643831543f, (float16_t)-0.765167266f,
+ (float16_t)0.648514401f, (float16_t)-0.761202385f,
+ (float16_t)0.653172843f, (float16_t)-0.757208847f,
+ (float16_t)0.657806693f, (float16_t)-0.753186799f,
+ (float16_t)0.662415778f, (float16_t)-0.749136395f,
+ (float16_t)0.666999922f, (float16_t)-0.745057785f,
+ (float16_t)0.671558955f, (float16_t)-0.740951125f,
+ (float16_t)0.676092704f, (float16_t)-0.736816569f,
+ (float16_t)0.680600998f, (float16_t)-0.732654272f,
+ (float16_t)0.685083668f, (float16_t)-0.728464390f,
+ (float16_t)0.689540545f, (float16_t)-0.724247083f,
+ (float16_t)0.693971461f, (float16_t)-0.720002508f,
+ (float16_t)0.698376249f, (float16_t)-0.715730825f,
+ (float16_t)0.702754744f, (float16_t)-0.711432196f,
+ (float16_t)0.707106781f, (float16_t)-0.707106781f,
+ (float16_t)0.711432196f, (float16_t)-0.702754744f,
+ (float16_t)0.715730825f, (float16_t)-0.698376249f,
+ (float16_t)0.720002508f, (float16_t)-0.693971461f,
+ (float16_t)0.724247083f, (float16_t)-0.689540545f,
+ (float16_t)0.728464390f, (float16_t)-0.685083668f,
+ (float16_t)0.732654272f, (float16_t)-0.680600998f,
+ (float16_t)0.736816569f, (float16_t)-0.676092704f,
+ (float16_t)0.740951125f, (float16_t)-0.671558955f,
+ (float16_t)0.745057785f, (float16_t)-0.666999922f,
+ (float16_t)0.749136395f, (float16_t)-0.662415778f,
+ (float16_t)0.753186799f, (float16_t)-0.657806693f,
+ (float16_t)0.757208847f, (float16_t)-0.653172843f,
+ (float16_t)0.761202385f, (float16_t)-0.648514401f,
+ (float16_t)0.765167266f, (float16_t)-0.643831543f,
+ (float16_t)0.769103338f, (float16_t)-0.639124445f,
+ (float16_t)0.773010453f, (float16_t)-0.634393284f,
+ (float16_t)0.776888466f, (float16_t)-0.629638239f,
+ (float16_t)0.780737229f, (float16_t)-0.624859488f,
+ (float16_t)0.784556597f, (float16_t)-0.620057212f,
+ (float16_t)0.788346428f, (float16_t)-0.615231591f,
+ (float16_t)0.792106577f, (float16_t)-0.610382806f,
+ (float16_t)0.795836905f, (float16_t)-0.605511041f,
+ (float16_t)0.799537269f, (float16_t)-0.600616479f,
+ (float16_t)0.803207531f, (float16_t)-0.595699304f,
+ (float16_t)0.806847554f, (float16_t)-0.590759702f,
+ (float16_t)0.810457198f, (float16_t)-0.585797857f,
+ (float16_t)0.814036330f, (float16_t)-0.580813958f,
+ (float16_t)0.817584813f, (float16_t)-0.575808191f,
+ (float16_t)0.821102515f, (float16_t)-0.570780746f,
+ (float16_t)0.824589303f, (float16_t)-0.565731811f,
+ (float16_t)0.828045045f, (float16_t)-0.560661576f,
+ (float16_t)0.831469612f, (float16_t)-0.555570233f,
+ (float16_t)0.834862875f, (float16_t)-0.550457973f,
+ (float16_t)0.838224706f, (float16_t)-0.545324988f,
+ (float16_t)0.841554977f, (float16_t)-0.540171473f,
+ (float16_t)0.844853565f, (float16_t)-0.534997620f,
+ (float16_t)0.848120345f, (float16_t)-0.529803625f,
+ (float16_t)0.851355193f, (float16_t)-0.524589683f,
+ (float16_t)0.854557988f, (float16_t)-0.519355990f,
+ (float16_t)0.857728610f, (float16_t)-0.514102744f,
+ (float16_t)0.860866939f, (float16_t)-0.508830143f,
+ (float16_t)0.863972856f, (float16_t)-0.503538384f,
+ (float16_t)0.867046246f, (float16_t)-0.498227667f,
+ (float16_t)0.870086991f, (float16_t)-0.492898192f,
+ (float16_t)0.873094978f, (float16_t)-0.487550160f,
+ (float16_t)0.876070094f, (float16_t)-0.482183772f,
+ (float16_t)0.879012226f, (float16_t)-0.476799230f,
+ (float16_t)0.881921264f, (float16_t)-0.471396737f,
+ (float16_t)0.884797098f, (float16_t)-0.465976496f,
+ (float16_t)0.887639620f, (float16_t)-0.460538711f,
+ (float16_t)0.890448723f, (float16_t)-0.455083587f,
+ (float16_t)0.893224301f, (float16_t)-0.449611330f,
+ (float16_t)0.895966250f, (float16_t)-0.444122145f,
+ (float16_t)0.898674466f, (float16_t)-0.438616239f,
+ (float16_t)0.901348847f, (float16_t)-0.433093819f,
+ (float16_t)0.903989293f, (float16_t)-0.427555093f,
+ (float16_t)0.906595705f, (float16_t)-0.422000271f,
+ (float16_t)0.909167983f, (float16_t)-0.416429560f,
+ (float16_t)0.911706032f, (float16_t)-0.410843171f,
+ (float16_t)0.914209756f, (float16_t)-0.405241314f,
+ (float16_t)0.916679060f, (float16_t)-0.399624200f,
+ (float16_t)0.919113852f, (float16_t)-0.393992040f,
+ (float16_t)0.921514039f, (float16_t)-0.388345047f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)0.926210242f, (float16_t)-0.377007410f,
+ (float16_t)0.928506080f, (float16_t)-0.371317194f,
+ (float16_t)0.930766961f, (float16_t)-0.365612998f,
+ (float16_t)0.932992799f, (float16_t)-0.359895037f,
+ (float16_t)0.935183510f, (float16_t)-0.354163525f,
+ (float16_t)0.937339012f, (float16_t)-0.348418680f,
+ (float16_t)0.939459224f, (float16_t)-0.342660717f,
+ (float16_t)0.941544065f, (float16_t)-0.336889853f,
+ (float16_t)0.943593458f, (float16_t)-0.331106306f,
+ (float16_t)0.945607325f, (float16_t)-0.325310292f,
+ (float16_t)0.947585591f, (float16_t)-0.319502031f,
+ (float16_t)0.949528181f, (float16_t)-0.313681740f,
+ (float16_t)0.951435021f, (float16_t)-0.307849640f,
+ (float16_t)0.953306040f, (float16_t)-0.302005949f,
+ (float16_t)0.955141168f, (float16_t)-0.296150888f,
+ (float16_t)0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)0.958703475f, (float16_t)-0.284407537f,
+ (float16_t)0.960430519f, (float16_t)-0.278519689f,
+ (float16_t)0.962121404f, (float16_t)-0.272621355f,
+ (float16_t)0.963776066f, (float16_t)-0.266712757f,
+ (float16_t)0.965394442f, (float16_t)-0.260794118f,
+ (float16_t)0.966976471f, (float16_t)-0.254865660f,
+ (float16_t)0.968522094f, (float16_t)-0.248927606f,
+ (float16_t)0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)0.971503891f, (float16_t)-0.237023606f,
+ (float16_t)0.972939952f, (float16_t)-0.231058108f,
+ (float16_t)0.974339383f, (float16_t)-0.225083911f,
+ (float16_t)0.975702130f, (float16_t)-0.219101240f,
+ (float16_t)0.977028143f, (float16_t)-0.213110320f,
+ (float16_t)0.978317371f, (float16_t)-0.207111376f,
+ (float16_t)0.979569766f, (float16_t)-0.201104635f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)0.981963869f, (float16_t)-0.189068664f,
+ (float16_t)0.983105487f, (float16_t)-0.183039888f,
+ (float16_t)0.984210092f, (float16_t)-0.177004220f,
+ (float16_t)0.985277642f, (float16_t)-0.170961889f,
+ (float16_t)0.986308097f, (float16_t)-0.164913120f,
+ (float16_t)0.987301418f, (float16_t)-0.158858143f,
+ (float16_t)0.988257568f, (float16_t)-0.152797185f,
+ (float16_t)0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)0.990058210f, (float16_t)-0.140658239f,
+ (float16_t)0.990902635f, (float16_t)-0.134580709f,
+ (float16_t)0.991709754f, (float16_t)-0.128498111f,
+ (float16_t)0.992479535f, (float16_t)-0.122410675f,
+ (float16_t)0.993211949f, (float16_t)-0.116318631f,
+ (float16_t)0.993906970f, (float16_t)-0.110222207f,
+ (float16_t)0.994564571f, (float16_t)-0.104121634f,
+ (float16_t)0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)0.995767414f, (float16_t)-0.091908956f,
+ (float16_t)0.996312612f, (float16_t)-0.085797312f,
+ (float16_t)0.996820299f, (float16_t)-0.079682438f,
+ (float16_t)0.997290457f, (float16_t)-0.073564564f,
+ (float16_t)0.997723067f, (float16_t)-0.067443920f,
+ (float16_t)0.998118113f, (float16_t)-0.061320736f,
+ (float16_t)0.998475581f, (float16_t)-0.055195244f,
+ (float16_t)0.998795456f, (float16_t)-0.049067674f,
+ (float16_t)0.999077728f, (float16_t)-0.042938257f,
+ (float16_t)0.999322385f, (float16_t)-0.036807223f,
+ (float16_t)0.999529418f, (float16_t)-0.030674803f,
+ (float16_t)0.999698819f, (float16_t)-0.024541229f,
+ (float16_t)0.999830582f, (float16_t)-0.018406730f,
+ (float16_t)0.999924702f, (float16_t)-0.012271538f,
+ (float16_t)0.999981175f, (float16_t)-0.006135885f
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_2048)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 2048 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_2048[4096] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.999995294f, (float16_t)0.003067957f,
+ (float16_t)0.999981175f, (float16_t)0.006135885f,
+ (float16_t)0.999957645f, (float16_t)0.009203755f,
+ (float16_t)0.999924702f, (float16_t)0.012271538f,
+ (float16_t)0.999882347f, (float16_t)0.015339206f,
+ (float16_t)0.999830582f, (float16_t)0.018406730f,
+ (float16_t)0.999769405f, (float16_t)0.021474080f,
+ (float16_t)0.999698819f, (float16_t)0.024541229f,
+ (float16_t)0.999618822f, (float16_t)0.027608146f,
+ (float16_t)0.999529418f, (float16_t)0.030674803f,
+ (float16_t)0.999430605f, (float16_t)0.033741172f,
+ (float16_t)0.999322385f, (float16_t)0.036807223f,
+ (float16_t)0.999204759f, (float16_t)0.039872928f,
+ (float16_t)0.999077728f, (float16_t)0.042938257f,
+ (float16_t)0.998941293f, (float16_t)0.046003182f,
+ (float16_t)0.998795456f, (float16_t)0.049067674f,
+ (float16_t)0.998640218f, (float16_t)0.052131705f,
+ (float16_t)0.998475581f, (float16_t)0.055195244f,
+ (float16_t)0.998301545f, (float16_t)0.058258265f,
+ (float16_t)0.998118113f, (float16_t)0.061320736f,
+ (float16_t)0.997925286f, (float16_t)0.064382631f,
+ (float16_t)0.997723067f, (float16_t)0.067443920f,
+ (float16_t)0.997511456f, (float16_t)0.070504573f,
+ (float16_t)0.997290457f, (float16_t)0.073564564f,
+ (float16_t)0.997060070f, (float16_t)0.076623861f,
+ (float16_t)0.996820299f, (float16_t)0.079682438f,
+ (float16_t)0.996571146f, (float16_t)0.082740265f,
+ (float16_t)0.996312612f, (float16_t)0.085797312f,
+ (float16_t)0.996044701f, (float16_t)0.088853553f,
+ (float16_t)0.995767414f, (float16_t)0.091908956f,
+ (float16_t)0.995480755f, (float16_t)0.094963495f,
+ (float16_t)0.995184727f, (float16_t)0.098017140f,
+ (float16_t)0.994879331f, (float16_t)0.101069863f,
+ (float16_t)0.994564571f, (float16_t)0.104121634f,
+ (float16_t)0.994240449f, (float16_t)0.107172425f,
+ (float16_t)0.993906970f, (float16_t)0.110222207f,
+ (float16_t)0.993564136f, (float16_t)0.113270952f,
+ (float16_t)0.993211949f, (float16_t)0.116318631f,
+ (float16_t)0.992850414f, (float16_t)0.119365215f,
+ (float16_t)0.992479535f, (float16_t)0.122410675f,
+ (float16_t)0.992099313f, (float16_t)0.125454983f,
+ (float16_t)0.991709754f, (float16_t)0.128498111f,
+ (float16_t)0.991310860f, (float16_t)0.131540029f,
+ (float16_t)0.990902635f, (float16_t)0.134580709f,
+ (float16_t)0.990485084f, (float16_t)0.137620122f,
+ (float16_t)0.990058210f, (float16_t)0.140658239f,
+ (float16_t)0.989622017f, (float16_t)0.143695033f,
+ (float16_t)0.989176510f, (float16_t)0.146730474f,
+ (float16_t)0.988721692f, (float16_t)0.149764535f,
+ (float16_t)0.988257568f, (float16_t)0.152797185f,
+ (float16_t)0.987784142f, (float16_t)0.155828398f,
+ (float16_t)0.987301418f, (float16_t)0.158858143f,
+ (float16_t)0.986809402f, (float16_t)0.161886394f,
+ (float16_t)0.986308097f, (float16_t)0.164913120f,
+ (float16_t)0.985797509f, (float16_t)0.167938295f,
+ (float16_t)0.985277642f, (float16_t)0.170961889f,
+ (float16_t)0.984748502f, (float16_t)0.173983873f,
+ (float16_t)0.984210092f, (float16_t)0.177004220f,
+ (float16_t)0.983662419f, (float16_t)0.180022901f,
+ (float16_t)0.983105487f, (float16_t)0.183039888f,
+ (float16_t)0.982539302f, (float16_t)0.186055152f,
+ (float16_t)0.981963869f, (float16_t)0.189068664f,
+ (float16_t)0.981379193f, (float16_t)0.192080397f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.980182136f, (float16_t)0.198098411f,
+ (float16_t)0.979569766f, (float16_t)0.201104635f,
+ (float16_t)0.978948175f, (float16_t)0.204108966f,
+ (float16_t)0.978317371f, (float16_t)0.207111376f,
+ (float16_t)0.977677358f, (float16_t)0.210111837f,
+ (float16_t)0.977028143f, (float16_t)0.213110320f,
+ (float16_t)0.976369731f, (float16_t)0.216106797f,
+ (float16_t)0.975702130f, (float16_t)0.219101240f,
+ (float16_t)0.975025345f, (float16_t)0.222093621f,
+ (float16_t)0.974339383f, (float16_t)0.225083911f,
+ (float16_t)0.973644250f, (float16_t)0.228072083f,
+ (float16_t)0.972939952f, (float16_t)0.231058108f,
+ (float16_t)0.972226497f, (float16_t)0.234041959f,
+ (float16_t)0.971503891f, (float16_t)0.237023606f,
+ (float16_t)0.970772141f, (float16_t)0.240003022f,
+ (float16_t)0.970031253f, (float16_t)0.242980180f,
+ (float16_t)0.969281235f, (float16_t)0.245955050f,
+ (float16_t)0.968522094f, (float16_t)0.248927606f,
+ (float16_t)0.967753837f, (float16_t)0.251897818f,
+ (float16_t)0.966976471f, (float16_t)0.254865660f,
+ (float16_t)0.966190003f, (float16_t)0.257831102f,
+ (float16_t)0.965394442f, (float16_t)0.260794118f,
+ (float16_t)0.964589793f, (float16_t)0.263754679f,
+ (float16_t)0.963776066f, (float16_t)0.266712757f,
+ (float16_t)0.962953267f, (float16_t)0.269668326f,
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+ (float16_t)0.942573198f, (float16_t)-0.333999651f,
+ (float16_t)0.943593458f, (float16_t)-0.331106306f,
+ (float16_t)0.944604837f, (float16_t)-0.328209844f,
+ (float16_t)0.945607325f, (float16_t)-0.325310292f,
+ (float16_t)0.946600913f, (float16_t)-0.322407679f,
+ (float16_t)0.947585591f, (float16_t)-0.319502031f,
+ (float16_t)0.948561350f, (float16_t)-0.316593376f,
+ (float16_t)0.949528181f, (float16_t)-0.313681740f,
+ (float16_t)0.950486074f, (float16_t)-0.310767153f,
+ (float16_t)0.951435021f, (float16_t)-0.307849640f,
+ (float16_t)0.952375013f, (float16_t)-0.304929230f,
+ (float16_t)0.953306040f, (float16_t)-0.302005949f,
+ (float16_t)0.954228095f, (float16_t)-0.299079826f,
+ (float16_t)0.955141168f, (float16_t)-0.296150888f,
+ (float16_t)0.956045251f, (float16_t)-0.293219163f,
+ (float16_t)0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)0.957826413f, (float16_t)-0.287347460f,
+ (float16_t)0.958703475f, (float16_t)-0.284407537f,
+ (float16_t)0.959571513f, (float16_t)-0.281464938f,
+ (float16_t)0.960430519f, (float16_t)-0.278519689f,
+ (float16_t)0.961280486f, (float16_t)-0.275571819f,
+ (float16_t)0.962121404f, (float16_t)-0.272621355f,
+ (float16_t)0.962953267f, (float16_t)-0.269668326f,
+ (float16_t)0.963776066f, (float16_t)-0.266712757f,
+ (float16_t)0.964589793f, (float16_t)-0.263754679f,
+ (float16_t)0.965394442f, (float16_t)-0.260794118f,
+ (float16_t)0.966190003f, (float16_t)-0.257831102f,
+ (float16_t)0.966976471f, (float16_t)-0.254865660f,
+ (float16_t)0.967753837f, (float16_t)-0.251897818f,
+ (float16_t)0.968522094f, (float16_t)-0.248927606f,
+ (float16_t)0.969281235f, (float16_t)-0.245955050f,
+ (float16_t)0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)0.970772141f, (float16_t)-0.240003022f,
+ (float16_t)0.971503891f, (float16_t)-0.237023606f,
+ (float16_t)0.972226497f, (float16_t)-0.234041959f,
+ (float16_t)0.972939952f, (float16_t)-0.231058108f,
+ (float16_t)0.973644250f, (float16_t)-0.228072083f,
+ (float16_t)0.974339383f, (float16_t)-0.225083911f,
+ (float16_t)0.975025345f, (float16_t)-0.222093621f,
+ (float16_t)0.975702130f, (float16_t)-0.219101240f,
+ (float16_t)0.976369731f, (float16_t)-0.216106797f,
+ (float16_t)0.977028143f, (float16_t)-0.213110320f,
+ (float16_t)0.977677358f, (float16_t)-0.210111837f,
+ (float16_t)0.978317371f, (float16_t)-0.207111376f,
+ (float16_t)0.978948175f, (float16_t)-0.204108966f,
+ (float16_t)0.979569766f, (float16_t)-0.201104635f,
+ (float16_t)0.980182136f, (float16_t)-0.198098411f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)0.981379193f, (float16_t)-0.192080397f,
+ (float16_t)0.981963869f, (float16_t)-0.189068664f,
+ (float16_t)0.982539302f, (float16_t)-0.186055152f,
+ (float16_t)0.983105487f, (float16_t)-0.183039888f,
+ (float16_t)0.983662419f, (float16_t)-0.180022901f,
+ (float16_t)0.984210092f, (float16_t)-0.177004220f,
+ (float16_t)0.984748502f, (float16_t)-0.173983873f,
+ (float16_t)0.985277642f, (float16_t)-0.170961889f,
+ (float16_t)0.985797509f, (float16_t)-0.167938295f,
+ (float16_t)0.986308097f, (float16_t)-0.164913120f,
+ (float16_t)0.986809402f, (float16_t)-0.161886394f,
+ (float16_t)0.987301418f, (float16_t)-0.158858143f,
+ (float16_t)0.987784142f, (float16_t)-0.155828398f,
+ (float16_t)0.988257568f, (float16_t)-0.152797185f,
+ (float16_t)0.988721692f, (float16_t)-0.149764535f,
+ (float16_t)0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)0.989622017f, (float16_t)-0.143695033f,
+ (float16_t)0.990058210f, (float16_t)-0.140658239f,
+ (float16_t)0.990485084f, (float16_t)-0.137620122f,
+ (float16_t)0.990902635f, (float16_t)-0.134580709f,
+ (float16_t)0.991310860f, (float16_t)-0.131540029f,
+ (float16_t)0.991709754f, (float16_t)-0.128498111f,
+ (float16_t)0.992099313f, (float16_t)-0.125454983f,
+ (float16_t)0.992479535f, (float16_t)-0.122410675f,
+ (float16_t)0.992850414f, (float16_t)-0.119365215f,
+ (float16_t)0.993211949f, (float16_t)-0.116318631f,
+ (float16_t)0.993564136f, (float16_t)-0.113270952f,
+ (float16_t)0.993906970f, (float16_t)-0.110222207f,
+ (float16_t)0.994240449f, (float16_t)-0.107172425f,
+ (float16_t)0.994564571f, (float16_t)-0.104121634f,
+ (float16_t)0.994879331f, (float16_t)-0.101069863f,
+ (float16_t)0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)0.995480755f, (float16_t)-0.094963495f,
+ (float16_t)0.995767414f, (float16_t)-0.091908956f,
+ (float16_t)0.996044701f, (float16_t)-0.088853553f,
+ (float16_t)0.996312612f, (float16_t)-0.085797312f,
+ (float16_t)0.996571146f, (float16_t)-0.082740265f,
+ (float16_t)0.996820299f, (float16_t)-0.079682438f,
+ (float16_t)0.997060070f, (float16_t)-0.076623861f,
+ (float16_t)0.997290457f, (float16_t)-0.073564564f,
+ (float16_t)0.997511456f, (float16_t)-0.070504573f,
+ (float16_t)0.997723067f, (float16_t)-0.067443920f,
+ (float16_t)0.997925286f, (float16_t)-0.064382631f,
+ (float16_t)0.998118113f, (float16_t)-0.061320736f,
+ (float16_t)0.998301545f, (float16_t)-0.058258265f,
+ (float16_t)0.998475581f, (float16_t)-0.055195244f,
+ (float16_t)0.998640218f, (float16_t)-0.052131705f,
+ (float16_t)0.998795456f, (float16_t)-0.049067674f,
+ (float16_t)0.998941293f, (float16_t)-0.046003182f,
+ (float16_t)0.999077728f, (float16_t)-0.042938257f,
+ (float16_t)0.999204759f, (float16_t)-0.039872928f,
+ (float16_t)0.999322385f, (float16_t)-0.036807223f,
+ (float16_t)0.999430605f, (float16_t)-0.033741172f,
+ (float16_t)0.999529418f, (float16_t)-0.030674803f,
+ (float16_t)0.999618822f, (float16_t)-0.027608146f,
+ (float16_t)0.999698819f, (float16_t)-0.024541229f,
+ (float16_t)0.999769405f, (float16_t)-0.021474080f,
+ (float16_t)0.999830582f, (float16_t)-0.018406730f,
+ (float16_t)0.999882347f, (float16_t)-0.015339206f,
+ (float16_t)0.999924702f, (float16_t)-0.012271538f,
+ (float16_t)0.999957645f, (float16_t)-0.009203755f,
+ (float16_t)0.999981175f, (float16_t)-0.006135885f,
+ (float16_t)0.999995294f, (float16_t)-0.003067957f
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_4096)
+
+/**
+* \par
+* Example code for Floating-point Twiddle factors Generation:
+* \par
+* for(i = 0; i< N/; i++)
+* {
+* twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* }
+* \par
+* where N = 4096 and PI = 3.14159265358979
+* \par
+* Cos and Sin values are in interleaved fashion
+*
+*/
+const float16_t twiddleCoefF16_4096[8192] = {
+ (float16_t)1.000000000f, (float16_t)0.000000000f,
+ (float16_t)0.999998823f, (float16_t)0.001533980f,
+ (float16_t)0.999995294f, (float16_t)0.003067957f,
+ (float16_t)0.999989411f, (float16_t)0.004601926f,
+ (float16_t)0.999981175f, (float16_t)0.006135885f,
+ (float16_t)0.999970586f, (float16_t)0.007669829f,
+ (float16_t)0.999957645f, (float16_t)0.009203755f,
+ (float16_t)0.999942350f, (float16_t)0.010737659f,
+ (float16_t)0.999924702f, (float16_t)0.012271538f,
+ (float16_t)0.999904701f, (float16_t)0.013805389f,
+ (float16_t)0.999882347f, (float16_t)0.015339206f,
+ (float16_t)0.999857641f, (float16_t)0.016872988f,
+ (float16_t)0.999830582f, (float16_t)0.018406730f,
+ (float16_t)0.999801170f, (float16_t)0.019940429f,
+ (float16_t)0.999769405f, (float16_t)0.021474080f,
+ (float16_t)0.999735288f, (float16_t)0.023007681f,
+ (float16_t)0.999698819f, (float16_t)0.024541229f,
+ (float16_t)0.999659997f, (float16_t)0.026074718f,
+ (float16_t)0.999618822f, (float16_t)0.027608146f,
+ (float16_t)0.999575296f, (float16_t)0.029141509f,
+ (float16_t)0.999529418f, (float16_t)0.030674803f,
+ (float16_t)0.999481187f, (float16_t)0.032208025f,
+ (float16_t)0.999430605f, (float16_t)0.033741172f,
+ (float16_t)0.999377670f, (float16_t)0.035274239f,
+ (float16_t)0.999322385f, (float16_t)0.036807223f,
+ (float16_t)0.999264747f, (float16_t)0.038340120f,
+ (float16_t)0.999204759f, (float16_t)0.039872928f,
+ (float16_t)0.999142419f, (float16_t)0.041405641f,
+ (float16_t)0.999077728f, (float16_t)0.042938257f,
+ (float16_t)0.999010686f, (float16_t)0.044470772f,
+ (float16_t)0.998941293f, (float16_t)0.046003182f,
+ (float16_t)0.998869550f, (float16_t)0.047535484f,
+ (float16_t)0.998795456f, (float16_t)0.049067674f,
+ (float16_t)0.998719012f, (float16_t)0.050599749f,
+ (float16_t)0.998640218f, (float16_t)0.052131705f,
+ (float16_t)0.998559074f, (float16_t)0.053663538f,
+ (float16_t)0.998475581f, (float16_t)0.055195244f,
+ (float16_t)0.998389737f, (float16_t)0.056726821f,
+ (float16_t)0.998301545f, (float16_t)0.058258265f,
+ (float16_t)0.998211003f, (float16_t)0.059789571f,
+ (float16_t)0.998118113f, (float16_t)0.061320736f,
+ (float16_t)0.998022874f, (float16_t)0.062851758f,
+ (float16_t)0.997925286f, (float16_t)0.064382631f,
+ (float16_t)0.997825350f, (float16_t)0.065913353f,
+ (float16_t)0.997723067f, (float16_t)0.067443920f,
+ (float16_t)0.997618435f, (float16_t)0.068974328f,
+ (float16_t)0.997511456f, (float16_t)0.070504573f,
+ (float16_t)0.997402130f, (float16_t)0.072034653f,
+ (float16_t)0.997290457f, (float16_t)0.073564564f,
+ (float16_t)0.997176437f, (float16_t)0.075094301f,
+ (float16_t)0.997060070f, (float16_t)0.076623861f,
+ (float16_t)0.996941358f, (float16_t)0.078153242f,
+ (float16_t)0.996820299f, (float16_t)0.079682438f,
+ (float16_t)0.996696895f, (float16_t)0.081211447f,
+ (float16_t)0.996571146f, (float16_t)0.082740265f,
+ (float16_t)0.996443051f, (float16_t)0.084268888f,
+ (float16_t)0.996312612f, (float16_t)0.085797312f,
+ (float16_t)0.996179829f, (float16_t)0.087325535f,
+ (float16_t)0.996044701f, (float16_t)0.088853553f,
+ (float16_t)0.995907229f, (float16_t)0.090381361f,
+ (float16_t)0.995767414f, (float16_t)0.091908956f,
+ (float16_t)0.995625256f, (float16_t)0.093436336f,
+ (float16_t)0.995480755f, (float16_t)0.094963495f,
+ (float16_t)0.995333912f, (float16_t)0.096490431f,
+ (float16_t)0.995184727f, (float16_t)0.098017140f,
+ (float16_t)0.995033199f, (float16_t)0.099543619f,
+ (float16_t)0.994879331f, (float16_t)0.101069863f,
+ (float16_t)0.994723121f, (float16_t)0.102595869f,
+ (float16_t)0.994564571f, (float16_t)0.104121634f,
+ (float16_t)0.994403680f, (float16_t)0.105647154f,
+ (float16_t)0.994240449f, (float16_t)0.107172425f,
+ (float16_t)0.994074879f, (float16_t)0.108697444f,
+ (float16_t)0.993906970f, (float16_t)0.110222207f,
+ (float16_t)0.993736722f, (float16_t)0.111746711f,
+ (float16_t)0.993564136f, (float16_t)0.113270952f,
+ (float16_t)0.993389211f, (float16_t)0.114794927f,
+ (float16_t)0.993211949f, (float16_t)0.116318631f,
+ (float16_t)0.993032350f, (float16_t)0.117842062f,
+ (float16_t)0.992850414f, (float16_t)0.119365215f,
+ (float16_t)0.992666142f, (float16_t)0.120888087f,
+ (float16_t)0.992479535f, (float16_t)0.122410675f,
+ (float16_t)0.992290591f, (float16_t)0.123932975f,
+ (float16_t)0.992099313f, (float16_t)0.125454983f,
+ (float16_t)0.991905700f, (float16_t)0.126976696f,
+ (float16_t)0.991709754f, (float16_t)0.128498111f,
+ (float16_t)0.991511473f, (float16_t)0.130019223f,
+ (float16_t)0.991310860f, (float16_t)0.131540029f,
+ (float16_t)0.991107914f, (float16_t)0.133060525f,
+ (float16_t)0.990902635f, (float16_t)0.134580709f,
+ (float16_t)0.990695025f, (float16_t)0.136100575f,
+ (float16_t)0.990485084f, (float16_t)0.137620122f,
+ (float16_t)0.990272812f, (float16_t)0.139139344f,
+ (float16_t)0.990058210f, (float16_t)0.140658239f,
+ (float16_t)0.989841278f, (float16_t)0.142176804f,
+ (float16_t)0.989622017f, (float16_t)0.143695033f,
+ (float16_t)0.989400428f, (float16_t)0.145212925f,
+ (float16_t)0.989176510f, (float16_t)0.146730474f,
+ (float16_t)0.988950265f, (float16_t)0.148247679f,
+ (float16_t)0.988721692f, (float16_t)0.149764535f,
+ (float16_t)0.988490793f, (float16_t)0.151281038f,
+ (float16_t)0.988257568f, (float16_t)0.152797185f,
+ (float16_t)0.988022017f, (float16_t)0.154312973f,
+ (float16_t)0.987784142f, (float16_t)0.155828398f,
+ (float16_t)0.987543942f, (float16_t)0.157343456f,
+ (float16_t)0.987301418f, (float16_t)0.158858143f,
+ (float16_t)0.987056571f, (float16_t)0.160372457f,
+ (float16_t)0.986809402f, (float16_t)0.161886394f,
+ (float16_t)0.986559910f, (float16_t)0.163399949f,
+ (float16_t)0.986308097f, (float16_t)0.164913120f,
+ (float16_t)0.986053963f, (float16_t)0.166425904f,
+ (float16_t)0.985797509f, (float16_t)0.167938295f,
+ (float16_t)0.985538735f, (float16_t)0.169450291f,
+ (float16_t)0.985277642f, (float16_t)0.170961889f,
+ (float16_t)0.985014231f, (float16_t)0.172473084f,
+ (float16_t)0.984748502f, (float16_t)0.173983873f,
+ (float16_t)0.984480455f, (float16_t)0.175494253f,
+ (float16_t)0.984210092f, (float16_t)0.177004220f,
+ (float16_t)0.983937413f, (float16_t)0.178513771f,
+ (float16_t)0.983662419f, (float16_t)0.180022901f,
+ (float16_t)0.983385110f, (float16_t)0.181531608f,
+ (float16_t)0.983105487f, (float16_t)0.183039888f,
+ (float16_t)0.982823551f, (float16_t)0.184547737f,
+ (float16_t)0.982539302f, (float16_t)0.186055152f,
+ (float16_t)0.982252741f, (float16_t)0.187562129f,
+ (float16_t)0.981963869f, (float16_t)0.189068664f,
+ (float16_t)0.981672686f, (float16_t)0.190574755f,
+ (float16_t)0.981379193f, (float16_t)0.192080397f,
+ (float16_t)0.981083391f, (float16_t)0.193585587f,
+ (float16_t)0.980785280f, (float16_t)0.195090322f,
+ (float16_t)0.980484862f, (float16_t)0.196594598f,
+ (float16_t)0.980182136f, (float16_t)0.198098411f,
+ (float16_t)0.979877104f, (float16_t)0.199601758f,
+ (float16_t)0.979569766f, (float16_t)0.201104635f,
+ (float16_t)0.979260123f, (float16_t)0.202607039f,
+ (float16_t)0.978948175f, (float16_t)0.204108966f,
+ (float16_t)0.978633924f, (float16_t)0.205610413f,
+ (float16_t)0.978317371f, (float16_t)0.207111376f,
+ (float16_t)0.977998515f, (float16_t)0.208611852f,
+ (float16_t)0.977677358f, (float16_t)0.210111837f,
+ (float16_t)0.977353900f, (float16_t)0.211611327f,
+ (float16_t)0.977028143f, (float16_t)0.213110320f,
+ (float16_t)0.976700086f, (float16_t)0.214608811f,
+ (float16_t)0.976369731f, (float16_t)0.216106797f,
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+ (float16_t)0.921514039f, (float16_t)-0.388345047f,
+ (float16_t)0.922108669f, (float16_t)-0.386931006f,
+ (float16_t)0.922701128f, (float16_t)-0.385516054f,
+ (float16_t)0.923291417f, (float16_t)-0.384100195f,
+ (float16_t)0.923879533f, (float16_t)-0.382683432f,
+ (float16_t)0.924465474f, (float16_t)-0.381265769f,
+ (float16_t)0.925049241f, (float16_t)-0.379847209f,
+ (float16_t)0.925630831f, (float16_t)-0.378427755f,
+ (float16_t)0.926210242f, (float16_t)-0.377007410f,
+ (float16_t)0.926787474f, (float16_t)-0.375586178f,
+ (float16_t)0.927362526f, (float16_t)-0.374164063f,
+ (float16_t)0.927935395f, (float16_t)-0.372741067f,
+ (float16_t)0.928506080f, (float16_t)-0.371317194f,
+ (float16_t)0.929074581f, (float16_t)-0.369892447f,
+ (float16_t)0.929640896f, (float16_t)-0.368466830f,
+ (float16_t)0.930205023f, (float16_t)-0.367040346f,
+ (float16_t)0.930766961f, (float16_t)-0.365612998f,
+ (float16_t)0.931326709f, (float16_t)-0.364184790f,
+ (float16_t)0.931884266f, (float16_t)-0.362755724f,
+ (float16_t)0.932439629f, (float16_t)-0.361325806f,
+ (float16_t)0.932992799f, (float16_t)-0.359895037f,
+ (float16_t)0.933543773f, (float16_t)-0.358463421f,
+ (float16_t)0.934092550f, (float16_t)-0.357030961f,
+ (float16_t)0.934639130f, (float16_t)-0.355597662f,
+ (float16_t)0.935183510f, (float16_t)-0.354163525f,
+ (float16_t)0.935725689f, (float16_t)-0.352728556f,
+ (float16_t)0.936265667f, (float16_t)-0.351292756f,
+ (float16_t)0.936803442f, (float16_t)-0.349856130f,
+ (float16_t)0.937339012f, (float16_t)-0.348418680f,
+ (float16_t)0.937872376f, (float16_t)-0.346980411f,
+ (float16_t)0.938403534f, (float16_t)-0.345541325f,
+ (float16_t)0.938932484f, (float16_t)-0.344101426f,
+ (float16_t)0.939459224f, (float16_t)-0.342660717f,
+ (float16_t)0.939983753f, (float16_t)-0.341219202f,
+ (float16_t)0.940506071f, (float16_t)-0.339776884f,
+ (float16_t)0.941026175f, (float16_t)-0.338333767f,
+ (float16_t)0.941544065f, (float16_t)-0.336889853f,
+ (float16_t)0.942059740f, (float16_t)-0.335445147f,
+ (float16_t)0.942573198f, (float16_t)-0.333999651f,
+ (float16_t)0.943084437f, (float16_t)-0.332553370f,
+ (float16_t)0.943593458f, (float16_t)-0.331106306f,
+ (float16_t)0.944100258f, (float16_t)-0.329658463f,
+ (float16_t)0.944604837f, (float16_t)-0.328209844f,
+ (float16_t)0.945107193f, (float16_t)-0.326760452f,
+ (float16_t)0.945607325f, (float16_t)-0.325310292f,
+ (float16_t)0.946105232f, (float16_t)-0.323859367f,
+ (float16_t)0.946600913f, (float16_t)-0.322407679f,
+ (float16_t)0.947094366f, (float16_t)-0.320955232f,
+ (float16_t)0.947585591f, (float16_t)-0.319502031f,
+ (float16_t)0.948074586f, (float16_t)-0.318048077f,
+ (float16_t)0.948561350f, (float16_t)-0.316593376f,
+ (float16_t)0.949045882f, (float16_t)-0.315137929f,
+ (float16_t)0.949528181f, (float16_t)-0.313681740f,
+ (float16_t)0.950008245f, (float16_t)-0.312224814f,
+ (float16_t)0.950486074f, (float16_t)-0.310767153f,
+ (float16_t)0.950961666f, (float16_t)-0.309308760f,
+ (float16_t)0.951435021f, (float16_t)-0.307849640f,
+ (float16_t)0.951906137f, (float16_t)-0.306389795f,
+ (float16_t)0.952375013f, (float16_t)-0.304929230f,
+ (float16_t)0.952841648f, (float16_t)-0.303467947f,
+ (float16_t)0.953306040f, (float16_t)-0.302005949f,
+ (float16_t)0.953768190f, (float16_t)-0.300543241f,
+ (float16_t)0.954228095f, (float16_t)-0.299079826f,
+ (float16_t)0.954685755f, (float16_t)-0.297615707f,
+ (float16_t)0.955141168f, (float16_t)-0.296150888f,
+ (float16_t)0.955594334f, (float16_t)-0.294685372f,
+ (float16_t)0.956045251f, (float16_t)-0.293219163f,
+ (float16_t)0.956493919f, (float16_t)-0.291752263f,
+ (float16_t)0.956940336f, (float16_t)-0.290284677f,
+ (float16_t)0.957384501f, (float16_t)-0.288816408f,
+ (float16_t)0.957826413f, (float16_t)-0.287347460f,
+ (float16_t)0.958266071f, (float16_t)-0.285877835f,
+ (float16_t)0.958703475f, (float16_t)-0.284407537f,
+ (float16_t)0.959138622f, (float16_t)-0.282936570f,
+ (float16_t)0.959571513f, (float16_t)-0.281464938f,
+ (float16_t)0.960002146f, (float16_t)-0.279992643f,
+ (float16_t)0.960430519f, (float16_t)-0.278519689f,
+ (float16_t)0.960856633f, (float16_t)-0.277046080f,
+ (float16_t)0.961280486f, (float16_t)-0.275571819f,
+ (float16_t)0.961702077f, (float16_t)-0.274096910f,
+ (float16_t)0.962121404f, (float16_t)-0.272621355f,
+ (float16_t)0.962538468f, (float16_t)-0.271145160f,
+ (float16_t)0.962953267f, (float16_t)-0.269668326f,
+ (float16_t)0.963365800f, (float16_t)-0.268190857f,
+ (float16_t)0.963776066f, (float16_t)-0.266712757f,
+ (float16_t)0.964184064f, (float16_t)-0.265234030f,
+ (float16_t)0.964589793f, (float16_t)-0.263754679f,
+ (float16_t)0.964993253f, (float16_t)-0.262274707f,
+ (float16_t)0.965394442f, (float16_t)-0.260794118f,
+ (float16_t)0.965793359f, (float16_t)-0.259312915f,
+ (float16_t)0.966190003f, (float16_t)-0.257831102f,
+ (float16_t)0.966584374f, (float16_t)-0.256348682f,
+ (float16_t)0.966976471f, (float16_t)-0.254865660f,
+ (float16_t)0.967366292f, (float16_t)-0.253382037f,
+ (float16_t)0.967753837f, (float16_t)-0.251897818f,
+ (float16_t)0.968139105f, (float16_t)-0.250413007f,
+ (float16_t)0.968522094f, (float16_t)-0.248927606f,
+ (float16_t)0.968902805f, (float16_t)-0.247441619f,
+ (float16_t)0.969281235f, (float16_t)-0.245955050f,
+ (float16_t)0.969657385f, (float16_t)-0.244467903f,
+ (float16_t)0.970031253f, (float16_t)-0.242980180f,
+ (float16_t)0.970402839f, (float16_t)-0.241491885f,
+ (float16_t)0.970772141f, (float16_t)-0.240003022f,
+ (float16_t)0.971139158f, (float16_t)-0.238513595f,
+ (float16_t)0.971503891f, (float16_t)-0.237023606f,
+ (float16_t)0.971866337f, (float16_t)-0.235533059f,
+ (float16_t)0.972226497f, (float16_t)-0.234041959f,
+ (float16_t)0.972584369f, (float16_t)-0.232550307f,
+ (float16_t)0.972939952f, (float16_t)-0.231058108f,
+ (float16_t)0.973293246f, (float16_t)-0.229565366f,
+ (float16_t)0.973644250f, (float16_t)-0.228072083f,
+ (float16_t)0.973992962f, (float16_t)-0.226578264f,
+ (float16_t)0.974339383f, (float16_t)-0.225083911f,
+ (float16_t)0.974683511f, (float16_t)-0.223589029f,
+ (float16_t)0.975025345f, (float16_t)-0.222093621f,
+ (float16_t)0.975364885f, (float16_t)-0.220597690f,
+ (float16_t)0.975702130f, (float16_t)-0.219101240f,
+ (float16_t)0.976037079f, (float16_t)-0.217604275f,
+ (float16_t)0.976369731f, (float16_t)-0.216106797f,
+ (float16_t)0.976700086f, (float16_t)-0.214608811f,
+ (float16_t)0.977028143f, (float16_t)-0.213110320f,
+ (float16_t)0.977353900f, (float16_t)-0.211611327f,
+ (float16_t)0.977677358f, (float16_t)-0.210111837f,
+ (float16_t)0.977998515f, (float16_t)-0.208611852f,
+ (float16_t)0.978317371f, (float16_t)-0.207111376f,
+ (float16_t)0.978633924f, (float16_t)-0.205610413f,
+ (float16_t)0.978948175f, (float16_t)-0.204108966f,
+ (float16_t)0.979260123f, (float16_t)-0.202607039f,
+ (float16_t)0.979569766f, (float16_t)-0.201104635f,
+ (float16_t)0.979877104f, (float16_t)-0.199601758f,
+ (float16_t)0.980182136f, (float16_t)-0.198098411f,
+ (float16_t)0.980484862f, (float16_t)-0.196594598f,
+ (float16_t)0.980785280f, (float16_t)-0.195090322f,
+ (float16_t)0.981083391f, (float16_t)-0.193585587f,
+ (float16_t)0.981379193f, (float16_t)-0.192080397f,
+ (float16_t)0.981672686f, (float16_t)-0.190574755f,
+ (float16_t)0.981963869f, (float16_t)-0.189068664f,
+ (float16_t)0.982252741f, (float16_t)-0.187562129f,
+ (float16_t)0.982539302f, (float16_t)-0.186055152f,
+ (float16_t)0.982823551f, (float16_t)-0.184547737f,
+ (float16_t)0.983105487f, (float16_t)-0.183039888f,
+ (float16_t)0.983385110f, (float16_t)-0.181531608f,
+ (float16_t)0.983662419f, (float16_t)-0.180022901f,
+ (float16_t)0.983937413f, (float16_t)-0.178513771f,
+ (float16_t)0.984210092f, (float16_t)-0.177004220f,
+ (float16_t)0.984480455f, (float16_t)-0.175494253f,
+ (float16_t)0.984748502f, (float16_t)-0.173983873f,
+ (float16_t)0.985014231f, (float16_t)-0.172473084f,
+ (float16_t)0.985277642f, (float16_t)-0.170961889f,
+ (float16_t)0.985538735f, (float16_t)-0.169450291f,
+ (float16_t)0.985797509f, (float16_t)-0.167938295f,
+ (float16_t)0.986053963f, (float16_t)-0.166425904f,
+ (float16_t)0.986308097f, (float16_t)-0.164913120f,
+ (float16_t)0.986559910f, (float16_t)-0.163399949f,
+ (float16_t)0.986809402f, (float16_t)-0.161886394f,
+ (float16_t)0.987056571f, (float16_t)-0.160372457f,
+ (float16_t)0.987301418f, (float16_t)-0.158858143f,
+ (float16_t)0.987543942f, (float16_t)-0.157343456f,
+ (float16_t)0.987784142f, (float16_t)-0.155828398f,
+ (float16_t)0.988022017f, (float16_t)-0.154312973f,
+ (float16_t)0.988257568f, (float16_t)-0.152797185f,
+ (float16_t)0.988490793f, (float16_t)-0.151281038f,
+ (float16_t)0.988721692f, (float16_t)-0.149764535f,
+ (float16_t)0.988950265f, (float16_t)-0.148247679f,
+ (float16_t)0.989176510f, (float16_t)-0.146730474f,
+ (float16_t)0.989400428f, (float16_t)-0.145212925f,
+ (float16_t)0.989622017f, (float16_t)-0.143695033f,
+ (float16_t)0.989841278f, (float16_t)-0.142176804f,
+ (float16_t)0.990058210f, (float16_t)-0.140658239f,
+ (float16_t)0.990272812f, (float16_t)-0.139139344f,
+ (float16_t)0.990485084f, (float16_t)-0.137620122f,
+ (float16_t)0.990695025f, (float16_t)-0.136100575f,
+ (float16_t)0.990902635f, (float16_t)-0.134580709f,
+ (float16_t)0.991107914f, (float16_t)-0.133060525f,
+ (float16_t)0.991310860f, (float16_t)-0.131540029f,
+ (float16_t)0.991511473f, (float16_t)-0.130019223f,
+ (float16_t)0.991709754f, (float16_t)-0.128498111f,
+ (float16_t)0.991905700f, (float16_t)-0.126976696f,
+ (float16_t)0.992099313f, (float16_t)-0.125454983f,
+ (float16_t)0.992290591f, (float16_t)-0.123932975f,
+ (float16_t)0.992479535f, (float16_t)-0.122410675f,
+ (float16_t)0.992666142f, (float16_t)-0.120888087f,
+ (float16_t)0.992850414f, (float16_t)-0.119365215f,
+ (float16_t)0.993032350f, (float16_t)-0.117842062f,
+ (float16_t)0.993211949f, (float16_t)-0.116318631f,
+ (float16_t)0.993389211f, (float16_t)-0.114794927f,
+ (float16_t)0.993564136f, (float16_t)-0.113270952f,
+ (float16_t)0.993736722f, (float16_t)-0.111746711f,
+ (float16_t)0.993906970f, (float16_t)-0.110222207f,
+ (float16_t)0.994074879f, (float16_t)-0.108697444f,
+ (float16_t)0.994240449f, (float16_t)-0.107172425f,
+ (float16_t)0.994403680f, (float16_t)-0.105647154f,
+ (float16_t)0.994564571f, (float16_t)-0.104121634f,
+ (float16_t)0.994723121f, (float16_t)-0.102595869f,
+ (float16_t)0.994879331f, (float16_t)-0.101069863f,
+ (float16_t)0.995033199f, (float16_t)-0.099543619f,
+ (float16_t)0.995184727f, (float16_t)-0.098017140f,
+ (float16_t)0.995333912f, (float16_t)-0.096490431f,
+ (float16_t)0.995480755f, (float16_t)-0.094963495f,
+ (float16_t)0.995625256f, (float16_t)-0.093436336f,
+ (float16_t)0.995767414f, (float16_t)-0.091908956f,
+ (float16_t)0.995907229f, (float16_t)-0.090381361f,
+ (float16_t)0.996044701f, (float16_t)-0.088853553f,
+ (float16_t)0.996179829f, (float16_t)-0.087325535f,
+ (float16_t)0.996312612f, (float16_t)-0.085797312f,
+ (float16_t)0.996443051f, (float16_t)-0.084268888f,
+ (float16_t)0.996571146f, (float16_t)-0.082740265f,
+ (float16_t)0.996696895f, (float16_t)-0.081211447f,
+ (float16_t)0.996820299f, (float16_t)-0.079682438f,
+ (float16_t)0.996941358f, (float16_t)-0.078153242f,
+ (float16_t)0.997060070f, (float16_t)-0.076623861f,
+ (float16_t)0.997176437f, (float16_t)-0.075094301f,
+ (float16_t)0.997290457f, (float16_t)-0.073564564f,
+ (float16_t)0.997402130f, (float16_t)-0.072034653f,
+ (float16_t)0.997511456f, (float16_t)-0.070504573f,
+ (float16_t)0.997618435f, (float16_t)-0.068974328f,
+ (float16_t)0.997723067f, (float16_t)-0.067443920f,
+ (float16_t)0.997825350f, (float16_t)-0.065913353f,
+ (float16_t)0.997925286f, (float16_t)-0.064382631f,
+ (float16_t)0.998022874f, (float16_t)-0.062851758f,
+ (float16_t)0.998118113f, (float16_t)-0.061320736f,
+ (float16_t)0.998211003f, (float16_t)-0.059789571f,
+ (float16_t)0.998301545f, (float16_t)-0.058258265f,
+ (float16_t)0.998389737f, (float16_t)-0.056726821f,
+ (float16_t)0.998475581f, (float16_t)-0.055195244f,
+ (float16_t)0.998559074f, (float16_t)-0.053663538f,
+ (float16_t)0.998640218f, (float16_t)-0.052131705f,
+ (float16_t)0.998719012f, (float16_t)-0.050599749f,
+ (float16_t)0.998795456f, (float16_t)-0.049067674f,
+ (float16_t)0.998869550f, (float16_t)-0.047535484f,
+ (float16_t)0.998941293f, (float16_t)-0.046003182f,
+ (float16_t)0.999010686f, (float16_t)-0.044470772f,
+ (float16_t)0.999077728f, (float16_t)-0.042938257f,
+ (float16_t)0.999142419f, (float16_t)-0.041405641f,
+ (float16_t)0.999204759f, (float16_t)-0.039872928f,
+ (float16_t)0.999264747f, (float16_t)-0.038340120f,
+ (float16_t)0.999322385f, (float16_t)-0.036807223f,
+ (float16_t)0.999377670f, (float16_t)-0.035274239f,
+ (float16_t)0.999430605f, (float16_t)-0.033741172f,
+ (float16_t)0.999481187f, (float16_t)-0.032208025f,
+ (float16_t)0.999529418f, (float16_t)-0.030674803f,
+ (float16_t)0.999575296f, (float16_t)-0.029141509f,
+ (float16_t)0.999618822f, (float16_t)-0.027608146f,
+ (float16_t)0.999659997f, (float16_t)-0.026074718f,
+ (float16_t)0.999698819f, (float16_t)-0.024541229f,
+ (float16_t)0.999735288f, (float16_t)-0.023007681f,
+ (float16_t)0.999769405f, (float16_t)-0.021474080f,
+ (float16_t)0.999801170f, (float16_t)-0.019940429f,
+ (float16_t)0.999830582f, (float16_t)-0.018406730f,
+ (float16_t)0.999857641f, (float16_t)-0.016872988f,
+ (float16_t)0.999882347f, (float16_t)-0.015339206f,
+ (float16_t)0.999904701f, (float16_t)-0.013805389f,
+ (float16_t)0.999924702f, (float16_t)-0.012271538f,
+ (float16_t)0.999942350f, (float16_t)-0.010737659f,
+ (float16_t)0.999957645f, (float16_t)-0.009203755f,
+ (float16_t)0.999970586f, (float16_t)-0.007669829f,
+ (float16_t)0.999981175f, (float16_t)-0.006135885f,
+ (float16_t)0.999989411f, (float16_t)-0.004601926f,
+ (float16_t)0.999995294f, (float16_t)-0.003067957f,
+ (float16_t)0.999998823f, (float16_t)-0.001533980f
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_32)
+/**
+ @par
+ Example code for Floating-point RFFT Twiddle factors Generation:
+ @par
+ TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'+ @par + Real and Imag values are in interleaved fashion +*/ +const float16_t twiddleCoefF16_rfft_32[32] = { + (float16_t)0.000000000f, (float16_t)1.000000000f, + (float16_t)0.195090322f, (float16_t)0.980785280f, + (float16_t)0.382683432f, (float16_t)0.923879533f, + (float16_t)0.555570233f, (float16_t)0.831469612f, + (float16_t)0.707106781f, (float16_t)0.707106781f, + (float16_t)0.831469612f, (float16_t)0.555570233f, + (float16_t)0.923879533f, (float16_t)0.382683432f, + (float16_t)0.980785280f, (float16_t)0.195090322f, + (float16_t)1.000000000f, (float16_t)0.000000000f, + (float16_t)0.980785280f, (float16_t)-0.195090322f, + (float16_t)0.923879533f, (float16_t)-0.382683432f, + (float16_t)0.831469612f, (float16_t)-0.555570233f, + (float16_t)0.707106781f, (float16_t)-0.707106781f, + (float16_t)0.555570233f, (float16_t)-0.831469612f, + (float16_t)0.382683432f, (float16_t)-0.923879533f, + (float16_t)0.195090322f, (float16_t)-0.980785280f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_64) +const float16_t twiddleCoefF16_rfft_64[64] = { + (float16_t)0.000000000000000f, (float16_t)1.000000000000000f, + (float16_t)0.098017140329561f, (float16_t)0.995184726672197f, + (float16_t)0.195090322016128f, (float16_t)0.980785280403230f, + (float16_t)0.290284677254462f, (float16_t)0.956940335732209f, + (float16_t)0.382683432365090f, (float16_t)0.923879532511287f, + (float16_t)0.471396736825998f, (float16_t)0.881921264348355f, + (float16_t)0.555570233019602f, (float16_t)0.831469612302545f, + (float16_t)0.634393284163645f, (float16_t)0.773010453362737f, + (float16_t)0.707106781186547f, (float16_t)0.707106781186548f, + (float16_t)0.773010453362737f, (float16_t)0.634393284163645f, + (float16_t)0.831469612302545f, (float16_t)0.555570233019602f, + (float16_t)0.881921264348355f, (float16_t)0.471396736825998f, + (float16_t)0.923879532511287f, (float16_t)0.382683432365090f, + (float16_t)0.956940335732209f, (float16_t)0.290284677254462f, + (float16_t)0.980785280403230f, (float16_t)0.195090322016128f, + (float16_t)0.995184726672197f, (float16_t)0.098017140329561f, + (float16_t)1.000000000000000f, (float16_t)0.000000000000000f, + (float16_t)0.995184726672197f, (float16_t)-0.098017140329561f, + (float16_t)0.980785280403230f, (float16_t)-0.195090322016128f, + (float16_t)0.956940335732209f, (float16_t)-0.290284677254462f, + (float16_t)0.923879532511287f, (float16_t)-0.382683432365090f, + (float16_t)0.881921264348355f, (float16_t)-0.471396736825998f, + (float16_t)0.831469612302545f, (float16_t)-0.555570233019602f, + (float16_t)0.773010453362737f, (float16_t)-0.634393284163645f, + (float16_t)0.707106781186548f, (float16_t)-0.707106781186547f, + (float16_t)0.634393284163645f, (float16_t)-0.773010453362737f, + (float16_t)0.555570233019602f, (float16_t)-0.831469612302545f, + (float16_t)0.471396736825998f, (float16_t)-0.881921264348355f, + (float16_t)0.382683432365090f, (float16_t)-0.923879532511287f, + (float16_t)0.290284677254462f, (float16_t)-0.956940335732209f, + (float16_t)0.195090322016129f, (float16_t)-0.980785280403230f, + (float16_t)0.098017140329561f, (float16_t)-0.995184726672197f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_128) +const float16_t twiddleCoefF16_rfft_128[128] = { + (float16_t)0.000000000f, (float16_t)1.000000000f, + (float16_t)0.049067674f, (float16_t)0.998795456f, + (float16_t)0.098017140f, (float16_t)0.995184727f, + (float16_t)0.146730474f, (float16_t)0.989176510f, + (float16_t)0.195090322f, (float16_t)0.980785280f, + (float16_t)0.242980180f, (float16_t)0.970031253f, + (float16_t)0.290284677f, (float16_t)0.956940336f, + (float16_t)0.336889853f, (float16_t)0.941544065f, + (float16_t)0.382683432f, (float16_t)0.923879533f, + (float16_t)0.427555093f, (float16_t)0.903989293f, + (float16_t)0.471396737f, (float16_t)0.881921264f, + (float16_t)0.514102744f, (float16_t)0.857728610f, + (float16_t)0.555570233f, (float16_t)0.831469612f, + (float16_t)0.595699304f, (float16_t)0.803207531f, + (float16_t)0.634393284f, (float16_t)0.773010453f, + (float16_t)0.671558955f, (float16_t)0.740951125f, + (float16_t)0.707106781f, (float16_t)0.707106781f, + (float16_t)0.740951125f, (float16_t)0.671558955f, + (float16_t)0.773010453f, (float16_t)0.634393284f, + (float16_t)0.803207531f, (float16_t)0.595699304f, + (float16_t)0.831469612f, (float16_t)0.555570233f, + (float16_t)0.857728610f, (float16_t)0.514102744f, + (float16_t)0.881921264f, (float16_t)0.471396737f, + (float16_t)0.903989293f, (float16_t)0.427555093f, + (float16_t)0.923879533f, (float16_t)0.382683432f, + (float16_t)0.941544065f, (float16_t)0.336889853f, + (float16_t)0.956940336f, (float16_t)0.290284677f, + (float16_t)0.970031253f, (float16_t)0.242980180f, + (float16_t)0.980785280f, (float16_t)0.195090322f, + (float16_t)0.989176510f, (float16_t)0.146730474f, + (float16_t)0.995184727f, (float16_t)0.098017140f, + (float16_t)0.998795456f, (float16_t)0.049067674f, + (float16_t)1.000000000f, (float16_t)0.000000000f, + (float16_t)0.998795456f, (float16_t)-0.049067674f, + (float16_t)0.995184727f, (float16_t)-0.098017140f, + (float16_t)0.989176510f, (float16_t)-0.146730474f, + (float16_t)0.980785280f, (float16_t)-0.195090322f, + (float16_t)0.970031253f, (float16_t)-0.242980180f, + (float16_t)0.956940336f, (float16_t)-0.290284677f, + (float16_t)0.941544065f, (float16_t)-0.336889853f, + (float16_t)0.923879533f, (float16_t)-0.382683432f, + (float16_t)0.903989293f, (float16_t)-0.427555093f, + (float16_t)0.881921264f, (float16_t)-0.471396737f, + (float16_t)0.857728610f, (float16_t)-0.514102744f, + (float16_t)0.831469612f, (float16_t)-0.555570233f, + (float16_t)0.803207531f, (float16_t)-0.595699304f, + (float16_t)0.773010453f, (float16_t)-0.634393284f, + (float16_t)0.740951125f, (float16_t)-0.671558955f, + (float16_t)0.707106781f, (float16_t)-0.707106781f, + (float16_t)0.671558955f, (float16_t)-0.740951125f, + (float16_t)0.634393284f, (float16_t)-0.773010453f, + (float16_t)0.595699304f, (float16_t)-0.803207531f, + (float16_t)0.555570233f, (float16_t)-0.831469612f, + (float16_t)0.514102744f, (float16_t)-0.857728610f, + (float16_t)0.471396737f, (float16_t)-0.881921264f, + (float16_t)0.427555093f, (float16_t)-0.903989293f, + (float16_t)0.382683432f, (float16_t)-0.923879533f, + (float16_t)0.336889853f, (float16_t)-0.941544065f, + (float16_t)0.290284677f, (float16_t)-0.956940336f, + (float16_t)0.242980180f, (float16_t)-0.970031253f, + (float16_t)0.195090322f, (float16_t)-0.980785280f, + (float16_t)0.146730474f, (float16_t)-0.989176510f, + (float16_t)0.098017140f, (float16_t)-0.995184727f, + (float16_t)0.049067674f, (float16_t)-0.998795456f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_256) +const float16_t twiddleCoefF16_rfft_256[256] = { + (float16_t)0.000000000f, (float16_t)1.000000000f, + (float16_t)0.024541229f, (float16_t)0.999698819f, + (float16_t)0.049067674f, (float16_t)0.998795456f, + (float16_t)0.073564564f, (float16_t)0.997290457f, + (float16_t)0.098017140f, (float16_t)0.995184727f, + (float16_t)0.122410675f, (float16_t)0.992479535f, + (float16_t)0.146730474f, (float16_t)0.989176510f, + (float16_t)0.170961889f, (float16_t)0.985277642f, + (float16_t)0.195090322f, (float16_t)0.980785280f, + (float16_t)0.219101240f, (float16_t)0.975702130f, + (float16_t)0.242980180f, (float16_t)0.970031253f, + (float16_t)0.266712757f, (float16_t)0.963776066f, + (float16_t)0.290284677f, (float16_t)0.956940336f, + (float16_t)0.313681740f, (float16_t)0.949528181f, + (float16_t)0.336889853f, (float16_t)0.941544065f, + (float16_t)0.359895037f, (float16_t)0.932992799f, + (float16_t)0.382683432f, (float16_t)0.923879533f, + (float16_t)0.405241314f, (float16_t)0.914209756f, + (float16_t)0.427555093f, (float16_t)0.903989293f, + (float16_t)0.449611330f, (float16_t)0.893224301f, + (float16_t)0.471396737f, (float16_t)0.881921264f, + (float16_t)0.492898192f, (float16_t)0.870086991f, + (float16_t)0.514102744f, (float16_t)0.857728610f, + (float16_t)0.534997620f, (float16_t)0.844853565f, + (float16_t)0.555570233f, (float16_t)0.831469612f, + (float16_t)0.575808191f, (float16_t)0.817584813f, + (float16_t)0.595699304f, (float16_t)0.803207531f, + (float16_t)0.615231591f, (float16_t)0.788346428f, + (float16_t)0.634393284f, (float16_t)0.773010453f, + (float16_t)0.653172843f, (float16_t)0.757208847f, + (float16_t)0.671558955f, (float16_t)0.740951125f, + (float16_t)0.689540545f, (float16_t)0.724247083f, + (float16_t)0.707106781f, (float16_t)0.707106781f, + (float16_t)0.724247083f, (float16_t)0.689540545f, + (float16_t)0.740951125f, (float16_t)0.671558955f, + (float16_t)0.757208847f, (float16_t)0.653172843f, + (float16_t)0.773010453f, (float16_t)0.634393284f, + (float16_t)0.788346428f, (float16_t)0.615231591f, + (float16_t)0.803207531f, (float16_t)0.595699304f, + (float16_t)0.817584813f, (float16_t)0.575808191f, + (float16_t)0.831469612f, (float16_t)0.555570233f, + (float16_t)0.844853565f, (float16_t)0.534997620f, + (float16_t)0.857728610f, (float16_t)0.514102744f, + (float16_t)0.870086991f, (float16_t)0.492898192f, + (float16_t)0.881921264f, (float16_t)0.471396737f, + (float16_t)0.893224301f, (float16_t)0.449611330f, + (float16_t)0.903989293f, (float16_t)0.427555093f, + (float16_t)0.914209756f, (float16_t)0.405241314f, + (float16_t)0.923879533f, (float16_t)0.382683432f, + (float16_t)0.932992799f, (float16_t)0.359895037f, + (float16_t)0.941544065f, (float16_t)0.336889853f, + (float16_t)0.949528181f, (float16_t)0.313681740f, + (float16_t)0.956940336f, (float16_t)0.290284677f, + (float16_t)0.963776066f, (float16_t)0.266712757f, + (float16_t)0.970031253f, (float16_t)0.242980180f, + (float16_t)0.975702130f, (float16_t)0.219101240f, + (float16_t)0.980785280f, (float16_t)0.195090322f, + (float16_t)0.985277642f, (float16_t)0.170961889f, + (float16_t)0.989176510f, (float16_t)0.146730474f, + (float16_t)0.992479535f, (float16_t)0.122410675f, + (float16_t)0.995184727f, (float16_t)0.098017140f, + (float16_t)0.997290457f, (float16_t)0.073564564f, + (float16_t)0.998795456f, (float16_t)0.049067674f, + (float16_t)0.999698819f, (float16_t)0.024541229f, + (float16_t)1.000000000f, (float16_t)0.000000000f, + (float16_t)0.999698819f, (float16_t)-0.024541229f, + (float16_t)0.998795456f, (float16_t)-0.049067674f, + (float16_t)0.997290457f, (float16_t)-0.073564564f, + (float16_t)0.995184727f, (float16_t)-0.098017140f, + (float16_t)0.992479535f, (float16_t)-0.122410675f, + (float16_t)0.989176510f, (float16_t)-0.146730474f, + (float16_t)0.985277642f, (float16_t)-0.170961889f, + (float16_t)0.980785280f, (float16_t)-0.195090322f, + (float16_t)0.975702130f, (float16_t)-0.219101240f, + (float16_t)0.970031253f, (float16_t)-0.242980180f, + (float16_t)0.963776066f, (float16_t)-0.266712757f, + (float16_t)0.956940336f, (float16_t)-0.290284677f, + (float16_t)0.949528181f, (float16_t)-0.313681740f, + (float16_t)0.941544065f, (float16_t)-0.336889853f, + (float16_t)0.932992799f, (float16_t)-0.359895037f, + (float16_t)0.923879533f, (float16_t)-0.382683432f, + (float16_t)0.914209756f, (float16_t)-0.405241314f, + (float16_t)0.903989293f, (float16_t)-0.427555093f, + (float16_t)0.893224301f, (float16_t)-0.449611330f, + (float16_t)0.881921264f, (float16_t)-0.471396737f, + (float16_t)0.870086991f, (float16_t)-0.492898192f, + (float16_t)0.857728610f, (float16_t)-0.514102744f, + (float16_t)0.844853565f, (float16_t)-0.534997620f, + (float16_t)0.831469612f, (float16_t)-0.555570233f, + (float16_t)0.817584813f, (float16_t)-0.575808191f, + (float16_t)0.803207531f, (float16_t)-0.595699304f, + (float16_t)0.788346428f, (float16_t)-0.615231591f, + (float16_t)0.773010453f, (float16_t)-0.634393284f, + (float16_t)0.757208847f, (float16_t)-0.653172843f, + (float16_t)0.740951125f, (float16_t)-0.671558955f, + (float16_t)0.724247083f, (float16_t)-0.689540545f, + (float16_t)0.707106781f, (float16_t)-0.707106781f, + (float16_t)0.689540545f, (float16_t)-0.724247083f, + (float16_t)0.671558955f, (float16_t)-0.740951125f, + (float16_t)0.653172843f, (float16_t)-0.757208847f, + (float16_t)0.634393284f, (float16_t)-0.773010453f, + (float16_t)0.615231591f, (float16_t)-0.788346428f, + (float16_t)0.595699304f, (float16_t)-0.803207531f, + (float16_t)0.575808191f, (float16_t)-0.817584813f, + (float16_t)0.555570233f, (float16_t)-0.831469612f, + (float16_t)0.534997620f, (float16_t)-0.844853565f, + (float16_t)0.514102744f, (float16_t)-0.857728610f, + (float16_t)0.492898192f, (float16_t)-0.870086991f, + (float16_t)0.471396737f, (float16_t)-0.881921264f, + (float16_t)0.449611330f, (float16_t)-0.893224301f, + (float16_t)0.427555093f, (float16_t)-0.903989293f, + (float16_t)0.405241314f, (float16_t)-0.914209756f, + (float16_t)0.382683432f, (float16_t)-0.923879533f, + (float16_t)0.359895037f, (float16_t)-0.932992799f, + (float16_t)0.336889853f, (float16_t)-0.941544065f, + (float16_t)0.313681740f, (float16_t)-0.949528181f, + (float16_t)0.290284677f, (float16_t)-0.956940336f, + (float16_t)0.266712757f, (float16_t)-0.963776066f, + (float16_t)0.242980180f, (float16_t)-0.970031253f, + (float16_t)0.219101240f, (float16_t)-0.975702130f, + (float16_t)0.195090322f, (float16_t)-0.980785280f, + (float16_t)0.170961889f, (float16_t)-0.985277642f, + (float16_t)0.146730474f, (float16_t)-0.989176510f, + (float16_t)0.122410675f, (float16_t)-0.992479535f, + (float16_t)0.098017140f, (float16_t)-0.995184727f, + (float16_t)0.073564564f, (float16_t)-0.997290457f, + (float16_t)0.049067674f, (float16_t)-0.998795456f, + (float16_t)0.024541229f, (float16_t)-0.999698819f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_512) +const float16_t twiddleCoefF16_rfft_512[512] = { + (float16_t)0.000000000f, (float16_t)1.000000000f, + (float16_t)0.012271538f, (float16_t)0.999924702f, + (float16_t)0.024541229f, (float16_t)0.999698819f, + (float16_t)0.036807223f, (float16_t)0.999322385f, + (float16_t)0.049067674f, (float16_t)0.998795456f, + (float16_t)0.061320736f, (float16_t)0.998118113f, + (float16_t)0.073564564f, (float16_t)0.997290457f, + (float16_t)0.085797312f, (float16_t)0.996312612f, + (float16_t)0.098017140f, (float16_t)0.995184727f, + (float16_t)0.110222207f, (float16_t)0.993906970f, + (float16_t)0.122410675f, (float16_t)0.992479535f, + (float16_t)0.134580709f, (float16_t)0.990902635f, + (float16_t)0.146730474f, (float16_t)0.989176510f, + (float16_t)0.158858143f, (float16_t)0.987301418f, + (float16_t)0.170961889f, (float16_t)0.985277642f, + (float16_t)0.183039888f, (float16_t)0.983105487f, + (float16_t)0.195090322f, (float16_t)0.980785280f, + (float16_t)0.207111376f, (float16_t)0.978317371f, + (float16_t)0.219101240f, (float16_t)0.975702130f, + (float16_t)0.231058108f, (float16_t)0.972939952f, + (float16_t)0.242980180f, (float16_t)0.970031253f, + (float16_t)0.254865660f, (float16_t)0.966976471f, + (float16_t)0.266712757f, (float16_t)0.963776066f, + (float16_t)0.278519689f, (float16_t)0.960430519f, + (float16_t)0.290284677f, (float16_t)0.956940336f, + (float16_t)0.302005949f, (float16_t)0.953306040f, + (float16_t)0.313681740f, (float16_t)0.949528181f, + (float16_t)0.325310292f, (float16_t)0.945607325f, + (float16_t)0.336889853f, (float16_t)0.941544065f, + (float16_t)0.348418680f, (float16_t)0.937339012f, + (float16_t)0.359895037f, (float16_t)0.932992799f, + (float16_t)0.371317194f, (float16_t)0.928506080f, + (float16_t)0.382683432f, (float16_t)0.923879533f, + (float16_t)0.393992040f, (float16_t)0.919113852f, + (float16_t)0.405241314f, (float16_t)0.914209756f, + (float16_t)0.416429560f, (float16_t)0.909167983f, + (float16_t)0.427555093f, (float16_t)0.903989293f, + (float16_t)0.438616239f, (float16_t)0.898674466f, + (float16_t)0.449611330f, (float16_t)0.893224301f, + (float16_t)0.460538711f, (float16_t)0.887639620f, + (float16_t)0.471396737f, (float16_t)0.881921264f, + (float16_t)0.482183772f, (float16_t)0.876070094f, + (float16_t)0.492898192f, (float16_t)0.870086991f, + (float16_t)0.503538384f, (float16_t)0.863972856f, + (float16_t)0.514102744f, (float16_t)0.857728610f, + (float16_t)0.524589683f, (float16_t)0.851355193f, + (float16_t)0.534997620f, (float16_t)0.844853565f, + (float16_t)0.545324988f, (float16_t)0.838224706f, + (float16_t)0.555570233f, (float16_t)0.831469612f, + (float16_t)0.565731811f, (float16_t)0.824589303f, + (float16_t)0.575808191f, (float16_t)0.817584813f, + (float16_t)0.585797857f, (float16_t)0.810457198f, + (float16_t)0.595699304f, (float16_t)0.803207531f, + (float16_t)0.605511041f, (float16_t)0.795836905f, + (float16_t)0.615231591f, (float16_t)0.788346428f, + (float16_t)0.624859488f, (float16_t)0.780737229f, + (float16_t)0.634393284f, (float16_t)0.773010453f, + (float16_t)0.643831543f, (float16_t)0.765167266f, + (float16_t)0.653172843f, (float16_t)0.757208847f, + (float16_t)0.662415778f, (float16_t)0.749136395f, + (float16_t)0.671558955f, (float16_t)0.740951125f, + (float16_t)0.680600998f, (float16_t)0.732654272f, + (float16_t)0.689540545f, (float16_t)0.724247083f, + (float16_t)0.698376249f, (float16_t)0.715730825f, + (float16_t)0.707106781f, (float16_t)0.707106781f, + (float16_t)0.715730825f, (float16_t)0.698376249f, + (float16_t)0.724247083f, (float16_t)0.689540545f, + (float16_t)0.732654272f, (float16_t)0.680600998f, + (float16_t)0.740951125f, (float16_t)0.671558955f, + (float16_t)0.749136395f, (float16_t)0.662415778f, + (float16_t)0.757208847f, (float16_t)0.653172843f, + (float16_t)0.765167266f, (float16_t)0.643831543f, + (float16_t)0.773010453f, (float16_t)0.634393284f, + (float16_t)0.780737229f, (float16_t)0.624859488f, + (float16_t)0.788346428f, (float16_t)0.615231591f, + (float16_t)0.795836905f, (float16_t)0.605511041f, + (float16_t)0.803207531f, (float16_t)0.595699304f, + (float16_t)0.810457198f, (float16_t)0.585797857f, + (float16_t)0.817584813f, (float16_t)0.575808191f, + (float16_t)0.824589303f, (float16_t)0.565731811f, + (float16_t)0.831469612f, (float16_t)0.555570233f, + (float16_t)0.838224706f, (float16_t)0.545324988f, + (float16_t)0.844853565f, (float16_t)0.534997620f, + (float16_t)0.851355193f, (float16_t)0.524589683f, + (float16_t)0.857728610f, (float16_t)0.514102744f, + (float16_t)0.863972856f, (float16_t)0.503538384f, + (float16_t)0.870086991f, (float16_t)0.492898192f, + (float16_t)0.876070094f, (float16_t)0.482183772f, + (float16_t)0.881921264f, (float16_t)0.471396737f, + (float16_t)0.887639620f, (float16_t)0.460538711f, + (float16_t)0.893224301f, (float16_t)0.449611330f, + (float16_t)0.898674466f, (float16_t)0.438616239f, + (float16_t)0.903989293f, (float16_t)0.427555093f, + (float16_t)0.909167983f, (float16_t)0.416429560f, + (float16_t)0.914209756f, (float16_t)0.405241314f, + (float16_t)0.919113852f, (float16_t)0.393992040f, + (float16_t)0.923879533f, (float16_t)0.382683432f, + (float16_t)0.928506080f, (float16_t)0.371317194f, + (float16_t)0.932992799f, (float16_t)0.359895037f, + (float16_t)0.937339012f, (float16_t)0.348418680f, + (float16_t)0.941544065f, (float16_t)0.336889853f, + (float16_t)0.945607325f, (float16_t)0.325310292f, + (float16_t)0.949528181f, (float16_t)0.313681740f, + (float16_t)0.953306040f, (float16_t)0.302005949f, + (float16_t)0.956940336f, (float16_t)0.290284677f, + (float16_t)0.960430519f, (float16_t)0.278519689f, + (float16_t)0.963776066f, (float16_t)0.266712757f, + (float16_t)0.966976471f, (float16_t)0.254865660f, + (float16_t)0.970031253f, (float16_t)0.242980180f, + (float16_t)0.972939952f, (float16_t)0.231058108f, + (float16_t)0.975702130f, (float16_t)0.219101240f, + (float16_t)0.978317371f, (float16_t)0.207111376f, + (float16_t)0.980785280f, (float16_t)0.195090322f, + (float16_t)0.983105487f, (float16_t)0.183039888f, + (float16_t)0.985277642f, (float16_t)0.170961889f, + (float16_t)0.987301418f, (float16_t)0.158858143f, + (float16_t)0.989176510f, (float16_t)0.146730474f, + (float16_t)0.990902635f, (float16_t)0.134580709f, + (float16_t)0.992479535f, (float16_t)0.122410675f, + (float16_t)0.993906970f, (float16_t)0.110222207f, + (float16_t)0.995184727f, (float16_t)0.098017140f, + (float16_t)0.996312612f, (float16_t)0.085797312f, + (float16_t)0.997290457f, (float16_t)0.073564564f, + (float16_t)0.998118113f, (float16_t)0.061320736f, + (float16_t)0.998795456f, (float16_t)0.049067674f, + (float16_t)0.999322385f, (float16_t)0.036807223f, + (float16_t)0.999698819f, (float16_t)0.024541229f, + (float16_t)0.999924702f, (float16_t)0.012271538f, + (float16_t)1.000000000f, (float16_t)0.000000000f, + (float16_t)0.999924702f, (float16_t)-0.012271538f, + (float16_t)0.999698819f, (float16_t)-0.024541229f, + (float16_t)0.999322385f, (float16_t)-0.036807223f, + (float16_t)0.998795456f, (float16_t)-0.049067674f, + (float16_t)0.998118113f, (float16_t)-0.061320736f, + (float16_t)0.997290457f, (float16_t)-0.073564564f, + (float16_t)0.996312612f, (float16_t)-0.085797312f, + (float16_t)0.995184727f, (float16_t)-0.098017140f, + (float16_t)0.993906970f, (float16_t)-0.110222207f, + (float16_t)0.992479535f, (float16_t)-0.122410675f, + (float16_t)0.990902635f, (float16_t)-0.134580709f, + (float16_t)0.989176510f, (float16_t)-0.146730474f, + (float16_t)0.987301418f, (float16_t)-0.158858143f, + (float16_t)0.985277642f, (float16_t)-0.170961889f, + (float16_t)0.983105487f, (float16_t)-0.183039888f, + (float16_t)0.980785280f, (float16_t)-0.195090322f, + (float16_t)0.978317371f, (float16_t)-0.207111376f, + (float16_t)0.975702130f, (float16_t)-0.219101240f, + (float16_t)0.972939952f, (float16_t)-0.231058108f, + (float16_t)0.970031253f, (float16_t)-0.242980180f, + (float16_t)0.966976471f, (float16_t)-0.254865660f, + (float16_t)0.963776066f, (float16_t)-0.266712757f, + (float16_t)0.960430519f, (float16_t)-0.278519689f, + (float16_t)0.956940336f, (float16_t)-0.290284677f, + (float16_t)0.953306040f, (float16_t)-0.302005949f, + (float16_t)0.949528181f, (float16_t)-0.313681740f, + (float16_t)0.945607325f, (float16_t)-0.325310292f, + (float16_t)0.941544065f, (float16_t)-0.336889853f, + (float16_t)0.937339012f, (float16_t)-0.348418680f, + (float16_t)0.932992799f, (float16_t)-0.359895037f, + (float16_t)0.928506080f, (float16_t)-0.371317194f, + (float16_t)0.923879533f, (float16_t)-0.382683432f, + (float16_t)0.919113852f, (float16_t)-0.393992040f, + (float16_t)0.914209756f, (float16_t)-0.405241314f, + (float16_t)0.909167983f, (float16_t)-0.416429560f, + (float16_t)0.903989293f, (float16_t)-0.427555093f, + (float16_t)0.898674466f, (float16_t)-0.438616239f, + (float16_t)0.893224301f, (float16_t)-0.449611330f, + (float16_t)0.887639620f, (float16_t)-0.460538711f, + (float16_t)0.881921264f, (float16_t)-0.471396737f, + (float16_t)0.876070094f, (float16_t)-0.482183772f, + (float16_t)0.870086991f, (float16_t)-0.492898192f, + (float16_t)0.863972856f, (float16_t)-0.503538384f, + (float16_t)0.857728610f, (float16_t)-0.514102744f, + (float16_t)0.851355193f, (float16_t)-0.524589683f, + (float16_t)0.844853565f, (float16_t)-0.534997620f, + (float16_t)0.838224706f, (float16_t)-0.545324988f, + (float16_t)0.831469612f, (float16_t)-0.555570233f, + (float16_t)0.824589303f, (float16_t)-0.565731811f, + (float16_t)0.817584813f, (float16_t)-0.575808191f, + (float16_t)0.810457198f, (float16_t)-0.585797857f, + (float16_t)0.803207531f, (float16_t)-0.595699304f, + (float16_t)0.795836905f, (float16_t)-0.605511041f, + (float16_t)0.788346428f, (float16_t)-0.615231591f, + (float16_t)0.780737229f, (float16_t)-0.624859488f, + (float16_t)0.773010453f, (float16_t)-0.634393284f, + (float16_t)0.765167266f, (float16_t)-0.643831543f, + (float16_t)0.757208847f, (float16_t)-0.653172843f, + (float16_t)0.749136395f, (float16_t)-0.662415778f, + (float16_t)0.740951125f, (float16_t)-0.671558955f, + (float16_t)0.732654272f, (float16_t)-0.680600998f, + (float16_t)0.724247083f, (float16_t)-0.689540545f, + (float16_t)0.715730825f, (float16_t)-0.698376249f, + (float16_t)0.707106781f, (float16_t)-0.707106781f, + (float16_t)0.698376249f, (float16_t)-0.715730825f, + (float16_t)0.689540545f, (float16_t)-0.724247083f, + (float16_t)0.680600998f, (float16_t)-0.732654272f, + (float16_t)0.671558955f, (float16_t)-0.740951125f, + (float16_t)0.662415778f, (float16_t)-0.749136395f, + (float16_t)0.653172843f, (float16_t)-0.757208847f, + (float16_t)0.643831543f, (float16_t)-0.765167266f, + (float16_t)0.634393284f, (float16_t)-0.773010453f, + (float16_t)0.624859488f, (float16_t)-0.780737229f, + (float16_t)0.615231591f, (float16_t)-0.788346428f, + (float16_t)0.605511041f, (float16_t)-0.795836905f, + (float16_t)0.595699304f, (float16_t)-0.803207531f, + (float16_t)0.585797857f, (float16_t)-0.810457198f, + (float16_t)0.575808191f, (float16_t)-0.817584813f, + (float16_t)0.565731811f, (float16_t)-0.824589303f, + (float16_t)0.555570233f, (float16_t)-0.831469612f, + (float16_t)0.545324988f, (float16_t)-0.838224706f, + (float16_t)0.534997620f, (float16_t)-0.844853565f, + (float16_t)0.524589683f, (float16_t)-0.851355193f, + (float16_t)0.514102744f, (float16_t)-0.857728610f, + (float16_t)0.503538384f, (float16_t)-0.863972856f, + (float16_t)0.492898192f, (float16_t)-0.870086991f, + (float16_t)0.482183772f, (float16_t)-0.876070094f, + (float16_t)0.471396737f, (float16_t)-0.881921264f, + (float16_t)0.460538711f, (float16_t)-0.887639620f, + (float16_t)0.449611330f, (float16_t)-0.893224301f, + (float16_t)0.438616239f, (float16_t)-0.898674466f, + (float16_t)0.427555093f, (float16_t)-0.903989293f, + (float16_t)0.416429560f, (float16_t)-0.909167983f, + (float16_t)0.405241314f, (float16_t)-0.914209756f, + (float16_t)0.393992040f, (float16_t)-0.919113852f, + (float16_t)0.382683432f, (float16_t)-0.923879533f, + (float16_t)0.371317194f, (float16_t)-0.928506080f, + (float16_t)0.359895037f, (float16_t)-0.932992799f, + (float16_t)0.348418680f, (float16_t)-0.937339012f, + (float16_t)0.336889853f, (float16_t)-0.941544065f, + (float16_t)0.325310292f, (float16_t)-0.945607325f, + (float16_t)0.313681740f, (float16_t)-0.949528181f, + (float16_t)0.302005949f, (float16_t)-0.953306040f, + (float16_t)0.290284677f, (float16_t)-0.956940336f, + (float16_t)0.278519689f, (float16_t)-0.960430519f, + (float16_t)0.266712757f, (float16_t)-0.963776066f, + (float16_t)0.254865660f, (float16_t)-0.966976471f, + (float16_t)0.242980180f, (float16_t)-0.970031253f, + (float16_t)0.231058108f, (float16_t)-0.972939952f, + (float16_t)0.219101240f, (float16_t)-0.975702130f, + (float16_t)0.207111376f, (float16_t)-0.978317371f, + (float16_t)0.195090322f, (float16_t)-0.980785280f, + (float16_t)0.183039888f, (float16_t)-0.983105487f, + (float16_t)0.170961889f, (float16_t)-0.985277642f, + (float16_t)0.158858143f, (float16_t)-0.987301418f, + (float16_t)0.146730474f, (float16_t)-0.989176510f, + (float16_t)0.134580709f, (float16_t)-0.990902635f, + (float16_t)0.122410675f, (float16_t)-0.992479535f, + (float16_t)0.110222207f, (float16_t)-0.993906970f, + (float16_t)0.098017140f, (float16_t)-0.995184727f, + (float16_t)0.085797312f, (float16_t)-0.996312612f, + (float16_t)0.073564564f, (float16_t)-0.997290457f, + (float16_t)0.061320736f, (float16_t)-0.998118113f, + (float16_t)0.049067674f, (float16_t)-0.998795456f, + (float16_t)0.036807223f, (float16_t)-0.999322385f, + (float16_t)0.024541229f, (float16_t)-0.999698819f, + (float16_t)0.012271538f, (float16_t)-0.999924702f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_1024) +const float16_t twiddleCoefF16_rfft_1024[1024] = { + (float16_t)0.000000000f, (float16_t)1.000000000f, + (float16_t)0.006135885f, (float16_t)0.999981175f, + (float16_t)0.012271538f, (float16_t)0.999924702f, + (float16_t)0.018406730f, (float16_t)0.999830582f, + (float16_t)0.024541229f, (float16_t)0.999698819f, + (float16_t)0.030674803f, (float16_t)0.999529418f, + (float16_t)0.036807223f, (float16_t)0.999322385f, + (float16_t)0.042938257f, (float16_t)0.999077728f, + (float16_t)0.049067674f, (float16_t)0.998795456f, + (float16_t)0.055195244f, (float16_t)0.998475581f, + (float16_t)0.061320736f, (float16_t)0.998118113f, + (float16_t)0.067443920f, (float16_t)0.997723067f, + (float16_t)0.073564564f, (float16_t)0.997290457f, + (float16_t)0.079682438f, (float16_t)0.996820299f, + (float16_t)0.085797312f, (float16_t)0.996312612f, + (float16_t)0.091908956f, (float16_t)0.995767414f, + (float16_t)0.098017140f, (float16_t)0.995184727f, + (float16_t)0.104121634f, (float16_t)0.994564571f, + (float16_t)0.110222207f, (float16_t)0.993906970f, + (float16_t)0.116318631f, (float16_t)0.993211949f, + (float16_t)0.122410675f, (float16_t)0.992479535f, + (float16_t)0.128498111f, (float16_t)0.991709754f, + (float16_t)0.134580709f, (float16_t)0.990902635f, + (float16_t)0.140658239f, (float16_t)0.990058210f, + (float16_t)0.146730474f, (float16_t)0.989176510f, + (float16_t)0.152797185f, (float16_t)0.988257568f, + (float16_t)0.158858143f, (float16_t)0.987301418f, + (float16_t)0.164913120f, (float16_t)0.986308097f, + (float16_t)0.170961889f, (float16_t)0.985277642f, + (float16_t)0.177004220f, (float16_t)0.984210092f, + (float16_t)0.183039888f, (float16_t)0.983105487f, + (float16_t)0.189068664f, (float16_t)0.981963869f, + (float16_t)0.195090322f, (float16_t)0.980785280f, + (float16_t)0.201104635f, (float16_t)0.979569766f, + (float16_t)0.207111376f, (float16_t)0.978317371f, + (float16_t)0.213110320f, (float16_t)0.977028143f, + (float16_t)0.219101240f, (float16_t)0.975702130f, + (float16_t)0.225083911f, (float16_t)0.974339383f, + (float16_t)0.231058108f, (float16_t)0.972939952f, + (float16_t)0.237023606f, (float16_t)0.971503891f, + (float16_t)0.242980180f, (float16_t)0.970031253f, + (float16_t)0.248927606f, (float16_t)0.968522094f, + (float16_t)0.254865660f, (float16_t)0.966976471f, + (float16_t)0.260794118f, (float16_t)0.965394442f, + (float16_t)0.266712757f, (float16_t)0.963776066f, + (float16_t)0.272621355f, (float16_t)0.962121404f, + (float16_t)0.278519689f, (float16_t)0.960430519f, + (float16_t)0.284407537f, (float16_t)0.958703475f, + (float16_t)0.290284677f, (float16_t)0.956940336f, + (float16_t)0.296150888f, (float16_t)0.955141168f, + (float16_t)0.302005949f, (float16_t)0.953306040f, + (float16_t)0.307849640f, (float16_t)0.951435021f, + (float16_t)0.313681740f, (float16_t)0.949528181f, + (float16_t)0.319502031f, (float16_t)0.947585591f, + (float16_t)0.325310292f, (float16_t)0.945607325f, + (float16_t)0.331106306f, (float16_t)0.943593458f, + (float16_t)0.336889853f, (float16_t)0.941544065f, + (float16_t)0.342660717f, (float16_t)0.939459224f, + (float16_t)0.348418680f, (float16_t)0.937339012f, + (float16_t)0.354163525f, (float16_t)0.935183510f, + (float16_t)0.359895037f, (float16_t)0.932992799f, + (float16_t)0.365612998f, (float16_t)0.930766961f, + (float16_t)0.371317194f, (float16_t)0.928506080f, + (float16_t)0.377007410f, (float16_t)0.926210242f, + (float16_t)0.382683432f, (float16_t)0.923879533f, + (float16_t)0.388345047f, (float16_t)0.921514039f, + (float16_t)0.393992040f, (float16_t)0.919113852f, + (float16_t)0.399624200f, (float16_t)0.916679060f, + (float16_t)0.405241314f, (float16_t)0.914209756f, + (float16_t)0.410843171f, (float16_t)0.911706032f, + (float16_t)0.416429560f, (float16_t)0.909167983f, + (float16_t)0.422000271f, (float16_t)0.906595705f, + (float16_t)0.427555093f, (float16_t)0.903989293f, + (float16_t)0.433093819f, (float16_t)0.901348847f, + (float16_t)0.438616239f, (float16_t)0.898674466f, + (float16_t)0.444122145f, (float16_t)0.895966250f, + (float16_t)0.449611330f, (float16_t)0.893224301f, + (float16_t)0.455083587f, (float16_t)0.890448723f, + (float16_t)0.460538711f, (float16_t)0.887639620f, + (float16_t)0.465976496f, (float16_t)0.884797098f, + (float16_t)0.471396737f, (float16_t)0.881921264f, + (float16_t)0.476799230f, (float16_t)0.879012226f, + (float16_t)0.482183772f, (float16_t)0.876070094f, + (float16_t)0.487550160f, (float16_t)0.873094978f, + (float16_t)0.492898192f, (float16_t)0.870086991f, + (float16_t)0.498227667f, (float16_t)0.867046246f, + (float16_t)0.503538384f, (float16_t)0.863972856f, + (float16_t)0.508830143f, (float16_t)0.860866939f, + (float16_t)0.514102744f, (float16_t)0.857728610f, + (float16_t)0.519355990f, (float16_t)0.854557988f, + (float16_t)0.524589683f, (float16_t)0.851355193f, + (float16_t)0.529803625f, (float16_t)0.848120345f, + (float16_t)0.534997620f, (float16_t)0.844853565f, + (float16_t)0.540171473f, (float16_t)0.841554977f, + (float16_t)0.545324988f, (float16_t)0.838224706f, + (float16_t)0.550457973f, (float16_t)0.834862875f, + (float16_t)0.555570233f, (float16_t)0.831469612f, + (float16_t)0.560661576f, (float16_t)0.828045045f, + (float16_t)0.565731811f, (float16_t)0.824589303f, + (float16_t)0.570780746f, (float16_t)0.821102515f, + (float16_t)0.575808191f, (float16_t)0.817584813f, + (float16_t)0.580813958f, (float16_t)0.814036330f, + (float16_t)0.585797857f, (float16_t)0.810457198f, + (float16_t)0.590759702f, (float16_t)0.806847554f, + (float16_t)0.595699304f, (float16_t)0.803207531f, + (float16_t)0.600616479f, (float16_t)0.799537269f, + (float16_t)0.605511041f, (float16_t)0.795836905f, + (float16_t)0.610382806f, (float16_t)0.792106577f, + (float16_t)0.615231591f, (float16_t)0.788346428f, + (float16_t)0.620057212f, (float16_t)0.784556597f, + (float16_t)0.624859488f, (float16_t)0.780737229f, + (float16_t)0.629638239f, (float16_t)0.776888466f, + (float16_t)0.634393284f, (float16_t)0.773010453f, + (float16_t)0.639124445f, (float16_t)0.769103338f, + (float16_t)0.643831543f, (float16_t)0.765167266f, + (float16_t)0.648514401f, (float16_t)0.761202385f, + (float16_t)0.653172843f, (float16_t)0.757208847f, + (float16_t)0.657806693f, (float16_t)0.753186799f, + (float16_t)0.662415778f, (float16_t)0.749136395f, + (float16_t)0.666999922f, (float16_t)0.745057785f, + (float16_t)0.671558955f, (float16_t)0.740951125f, + (float16_t)0.676092704f, (float16_t)0.736816569f, + (float16_t)0.680600998f, (float16_t)0.732654272f, + (float16_t)0.685083668f, (float16_t)0.728464390f, + (float16_t)0.689540545f, (float16_t)0.724247083f, + (float16_t)0.693971461f, (float16_t)0.720002508f, + (float16_t)0.698376249f, (float16_t)0.715730825f, + (float16_t)0.702754744f, (float16_t)0.711432196f, + (float16_t)0.707106781f, (float16_t)0.707106781f, + (float16_t)0.711432196f, (float16_t)0.702754744f, + (float16_t)0.715730825f, (float16_t)0.698376249f, + (float16_t)0.720002508f, (float16_t)0.693971461f, + (float16_t)0.724247083f, (float16_t)0.689540545f, + (float16_t)0.728464390f, (float16_t)0.685083668f, + (float16_t)0.732654272f, (float16_t)0.680600998f, + (float16_t)0.736816569f, (float16_t)0.676092704f, + (float16_t)0.740951125f, (float16_t)0.671558955f, + (float16_t)0.745057785f, (float16_t)0.666999922f, + (float16_t)0.749136395f, (float16_t)0.662415778f, + (float16_t)0.753186799f, (float16_t)0.657806693f, + (float16_t)0.757208847f, (float16_t)0.653172843f, + (float16_t)0.761202385f, (float16_t)0.648514401f, + (float16_t)0.765167266f, (float16_t)0.643831543f, + (float16_t)0.769103338f, (float16_t)0.639124445f, + (float16_t)0.773010453f, (float16_t)0.634393284f, + (float16_t)0.776888466f, (float16_t)0.629638239f, + (float16_t)0.780737229f, (float16_t)0.624859488f, + (float16_t)0.784556597f, (float16_t)0.620057212f, + (float16_t)0.788346428f, (float16_t)0.615231591f, + (float16_t)0.792106577f, (float16_t)0.610382806f, + (float16_t)0.795836905f, (float16_t)0.605511041f, + (float16_t)0.799537269f, (float16_t)0.600616479f, + (float16_t)0.803207531f, (float16_t)0.595699304f, + (float16_t)0.806847554f, (float16_t)0.590759702f, + (float16_t)0.810457198f, (float16_t)0.585797857f, + (float16_t)0.814036330f, (float16_t)0.580813958f, + (float16_t)0.817584813f, (float16_t)0.575808191f, + (float16_t)0.821102515f, (float16_t)0.570780746f, + (float16_t)0.824589303f, (float16_t)0.565731811f, + (float16_t)0.828045045f, (float16_t)0.560661576f, + (float16_t)0.831469612f, (float16_t)0.555570233f, + (float16_t)0.834862875f, (float16_t)0.550457973f, + (float16_t)0.838224706f, (float16_t)0.545324988f, + (float16_t)0.841554977f, (float16_t)0.540171473f, + (float16_t)0.844853565f, (float16_t)0.534997620f, + (float16_t)0.848120345f, (float16_t)0.529803625f, + (float16_t)0.851355193f, (float16_t)0.524589683f, + (float16_t)0.854557988f, (float16_t)0.519355990f, + (float16_t)0.857728610f, (float16_t)0.514102744f, + (float16_t)0.860866939f, (float16_t)0.508830143f, + (float16_t)0.863972856f, (float16_t)0.503538384f, + (float16_t)0.867046246f, (float16_t)0.498227667f, + (float16_t)0.870086991f, (float16_t)0.492898192f, + (float16_t)0.873094978f, (float16_t)0.487550160f, + (float16_t)0.876070094f, (float16_t)0.482183772f, + (float16_t)0.879012226f, (float16_t)0.476799230f, + (float16_t)0.881921264f, (float16_t)0.471396737f, + (float16_t)0.884797098f, (float16_t)0.465976496f, + (float16_t)0.887639620f, (float16_t)0.460538711f, + (float16_t)0.890448723f, (float16_t)0.455083587f, + (float16_t)0.893224301f, (float16_t)0.449611330f, + (float16_t)0.895966250f, (float16_t)0.444122145f, + (float16_t)0.898674466f, (float16_t)0.438616239f, + (float16_t)0.901348847f, (float16_t)0.433093819f, + (float16_t)0.903989293f, (float16_t)0.427555093f, + (float16_t)0.906595705f, (float16_t)0.422000271f, + (float16_t)0.909167983f, (float16_t)0.416429560f, + 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(float16_t)-0.960430519f, + (float16_t)0.272621355f, (float16_t)-0.962121404f, + (float16_t)0.266712757f, (float16_t)-0.963776066f, + (float16_t)0.260794118f, (float16_t)-0.965394442f, + (float16_t)0.254865660f, (float16_t)-0.966976471f, + (float16_t)0.248927606f, (float16_t)-0.968522094f, + (float16_t)0.242980180f, (float16_t)-0.970031253f, + (float16_t)0.237023606f, (float16_t)-0.971503891f, + (float16_t)0.231058108f, (float16_t)-0.972939952f, + (float16_t)0.225083911f, (float16_t)-0.974339383f, + (float16_t)0.219101240f, (float16_t)-0.975702130f, + (float16_t)0.213110320f, (float16_t)-0.977028143f, + (float16_t)0.207111376f, (float16_t)-0.978317371f, + (float16_t)0.201104635f, (float16_t)-0.979569766f, + (float16_t)0.195090322f, (float16_t)-0.980785280f, + (float16_t)0.189068664f, (float16_t)-0.981963869f, + (float16_t)0.183039888f, (float16_t)-0.983105487f, + (float16_t)0.177004220f, (float16_t)-0.984210092f, + (float16_t)0.170961889f, (float16_t)-0.985277642f, + (float16_t)0.164913120f, (float16_t)-0.986308097f, + (float16_t)0.158858143f, (float16_t)-0.987301418f, + (float16_t)0.152797185f, (float16_t)-0.988257568f, + (float16_t)0.146730474f, (float16_t)-0.989176510f, + (float16_t)0.140658239f, (float16_t)-0.990058210f, + (float16_t)0.134580709f, (float16_t)-0.990902635f, + (float16_t)0.128498111f, (float16_t)-0.991709754f, + (float16_t)0.122410675f, (float16_t)-0.992479535f, + (float16_t)0.116318631f, (float16_t)-0.993211949f, + (float16_t)0.110222207f, (float16_t)-0.993906970f, + (float16_t)0.104121634f, (float16_t)-0.994564571f, + (float16_t)0.098017140f, (float16_t)-0.995184727f, + (float16_t)0.091908956f, (float16_t)-0.995767414f, + (float16_t)0.085797312f, (float16_t)-0.996312612f, + (float16_t)0.079682438f, (float16_t)-0.996820299f, + (float16_t)0.073564564f, (float16_t)-0.997290457f, + (float16_t)0.067443920f, (float16_t)-0.997723067f, + (float16_t)0.061320736f, (float16_t)-0.998118113f, + (float16_t)0.055195244f, (float16_t)-0.998475581f, + (float16_t)0.049067674f, (float16_t)-0.998795456f, + (float16_t)0.042938257f, (float16_t)-0.999077728f, + (float16_t)0.036807223f, (float16_t)-0.999322385f, + (float16_t)0.030674803f, (float16_t)-0.999529418f, + (float16_t)0.024541229f, (float16_t)-0.999698819f, + (float16_t)0.018406730f, (float16_t)-0.999830582f, + (float16_t)0.012271538f, (float16_t)-0.999924702f, + (float16_t)0.006135885f, (float16_t)-0.999981175f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_2048) +const float16_t twiddleCoefF16_rfft_2048[2048] = { + (float16_t)0.000000000f, (float16_t)1.000000000f, + (float16_t)0.003067957f, (float16_t)0.999995294f, + (float16_t)0.006135885f, (float16_t)0.999981175f, + (float16_t)0.009203755f, (float16_t)0.999957645f, + (float16_t)0.012271538f, (float16_t)0.999924702f, + (float16_t)0.015339206f, (float16_t)0.999882347f, + (float16_t)0.018406730f, (float16_t)0.999830582f, + (float16_t)0.021474080f, (float16_t)0.999769405f, + (float16_t)0.024541229f, (float16_t)0.999698819f, + (float16_t)0.027608146f, (float16_t)0.999618822f, + (float16_t)0.030674803f, (float16_t)0.999529418f, + (float16_t)0.033741172f, (float16_t)0.999430605f, + (float16_t)0.036807223f, (float16_t)0.999322385f, + (float16_t)0.039872928f, (float16_t)0.999204759f, + (float16_t)0.042938257f, (float16_t)0.999077728f, + (float16_t)0.046003182f, (float16_t)0.998941293f, + (float16_t)0.049067674f, (float16_t)0.998795456f, + (float16_t)0.052131705f, (float16_t)0.998640218f, + (float16_t)0.055195244f, (float16_t)0.998475581f, + (float16_t)0.058258265f, (float16_t)0.998301545f, + (float16_t)0.061320736f, (float16_t)0.998118113f, + (float16_t)0.064382631f, (float16_t)0.997925286f, + (float16_t)0.067443920f, (float16_t)0.997723067f, + (float16_t)0.070504573f, (float16_t)0.997511456f, + (float16_t)0.073564564f, (float16_t)0.997290457f, + (float16_t)0.076623861f, (float16_t)0.997060070f, + (float16_t)0.079682438f, (float16_t)0.996820299f, + (float16_t)0.082740265f, (float16_t)0.996571146f, + (float16_t)0.085797312f, (float16_t)0.996312612f, + (float16_t)0.088853553f, (float16_t)0.996044701f, + (float16_t)0.091908956f, (float16_t)0.995767414f, + (float16_t)0.094963495f, (float16_t)0.995480755f, + (float16_t)0.098017140f, (float16_t)0.995184727f, + (float16_t)0.101069863f, (float16_t)0.994879331f, + (float16_t)0.104121634f, (float16_t)0.994564571f, + (float16_t)0.107172425f, (float16_t)0.994240449f, + (float16_t)0.110222207f, (float16_t)0.993906970f, + (float16_t)0.113270952f, (float16_t)0.993564136f, + (float16_t)0.116318631f, (float16_t)0.993211949f, + (float16_t)0.119365215f, (float16_t)0.992850414f, + (float16_t)0.122410675f, (float16_t)0.992479535f, + (float16_t)0.125454983f, (float16_t)0.992099313f, + (float16_t)0.128498111f, (float16_t)0.991709754f, + (float16_t)0.131540029f, (float16_t)0.991310860f, + (float16_t)0.134580709f, (float16_t)0.990902635f, + (float16_t)0.137620122f, (float16_t)0.990485084f, + (float16_t)0.140658239f, (float16_t)0.990058210f, + (float16_t)0.143695033f, (float16_t)0.989622017f, + (float16_t)0.146730474f, (float16_t)0.989176510f, + (float16_t)0.149764535f, (float16_t)0.988721692f, + (float16_t)0.152797185f, (float16_t)0.988257568f, + (float16_t)0.155828398f, (float16_t)0.987784142f, + (float16_t)0.158858143f, (float16_t)0.987301418f, + (float16_t)0.161886394f, (float16_t)0.986809402f, + (float16_t)0.164913120f, (float16_t)0.986308097f, + (float16_t)0.167938295f, (float16_t)0.985797509f, + (float16_t)0.170961889f, (float16_t)0.985277642f, + (float16_t)0.173983873f, (float16_t)0.984748502f, + (float16_t)0.177004220f, (float16_t)0.984210092f, + (float16_t)0.180022901f, (float16_t)0.983662419f, + (float16_t)0.183039888f, (float16_t)0.983105487f, + (float16_t)0.186055152f, (float16_t)0.982539302f, + (float16_t)0.189068664f, (float16_t)0.981963869f, + (float16_t)0.192080397f, (float16_t)0.981379193f, + (float16_t)0.195090322f, (float16_t)0.980785280f, + (float16_t)0.198098411f, (float16_t)0.980182136f, + (float16_t)0.201104635f, (float16_t)0.979569766f, + (float16_t)0.204108966f, (float16_t)0.978948175f, + (float16_t)0.207111376f, (float16_t)0.978317371f, + (float16_t)0.210111837f, (float16_t)0.977677358f, + (float16_t)0.213110320f, (float16_t)0.977028143f, + (float16_t)0.216106797f, (float16_t)0.976369731f, + (float16_t)0.219101240f, (float16_t)0.975702130f, + (float16_t)0.222093621f, (float16_t)0.975025345f, + (float16_t)0.225083911f, (float16_t)0.974339383f, + (float16_t)0.228072083f, (float16_t)0.973644250f, + (float16_t)0.231058108f, (float16_t)0.972939952f, + (float16_t)0.234041959f, (float16_t)0.972226497f, + (float16_t)0.237023606f, (float16_t)0.971503891f, + (float16_t)0.240003022f, (float16_t)0.970772141f, + (float16_t)0.242980180f, (float16_t)0.970031253f, + (float16_t)0.245955050f, (float16_t)0.969281235f, + (float16_t)0.248927606f, (float16_t)0.968522094f, + (float16_t)0.251897818f, (float16_t)0.967753837f, + (float16_t)0.254865660f, (float16_t)0.966976471f, + (float16_t)0.257831102f, (float16_t)0.966190003f, + (float16_t)0.260794118f, (float16_t)0.965394442f, + (float16_t)0.263754679f, (float16_t)0.964589793f, + (float16_t)0.266712757f, (float16_t)0.963776066f, + (float16_t)0.269668326f, (float16_t)0.962953267f, + (float16_t)0.272621355f, (float16_t)0.962121404f, + (float16_t)0.275571819f, (float16_t)0.961280486f, + (float16_t)0.278519689f, (float16_t)0.960430519f, + (float16_t)0.281464938f, (float16_t)0.959571513f, + (float16_t)0.284407537f, (float16_t)0.958703475f, + (float16_t)0.287347460f, (float16_t)0.957826413f, + (float16_t)0.290284677f, (float16_t)0.956940336f, + (float16_t)0.293219163f, (float16_t)0.956045251f, + (float16_t)0.296150888f, (float16_t)0.955141168f, + (float16_t)0.299079826f, (float16_t)0.954228095f, + (float16_t)0.302005949f, (float16_t)0.953306040f, + (float16_t)0.304929230f, (float16_t)0.952375013f, + (float16_t)0.307849640f, (float16_t)0.951435021f, + (float16_t)0.310767153f, (float16_t)0.950486074f, + (float16_t)0.313681740f, (float16_t)0.949528181f, + (float16_t)0.316593376f, (float16_t)0.948561350f, + (float16_t)0.319502031f, (float16_t)0.947585591f, + (float16_t)0.322407679f, (float16_t)0.946600913f, + (float16_t)0.325310292f, (float16_t)0.945607325f, + (float16_t)0.328209844f, (float16_t)0.944604837f, + (float16_t)0.331106306f, (float16_t)0.943593458f, + (float16_t)0.333999651f, (float16_t)0.942573198f, + (float16_t)0.336889853f, (float16_t)0.941544065f, + (float16_t)0.339776884f, (float16_t)0.940506071f, + (float16_t)0.342660717f, (float16_t)0.939459224f, + (float16_t)0.345541325f, (float16_t)0.938403534f, + (float16_t)0.348418680f, (float16_t)0.937339012f, + (float16_t)0.351292756f, (float16_t)0.936265667f, + (float16_t)0.354163525f, (float16_t)0.935183510f, + (float16_t)0.357030961f, (float16_t)0.934092550f, + (float16_t)0.359895037f, (float16_t)0.932992799f, + (float16_t)0.362755724f, (float16_t)0.931884266f, + (float16_t)0.365612998f, (float16_t)0.930766961f, + (float16_t)0.368466830f, (float16_t)0.929640896f, + (float16_t)0.371317194f, (float16_t)0.928506080f, + (float16_t)0.374164063f, (float16_t)0.927362526f, + (float16_t)0.377007410f, (float16_t)0.926210242f, + (float16_t)0.379847209f, (float16_t)0.925049241f, + (float16_t)0.382683432f, (float16_t)0.923879533f, + (float16_t)0.385516054f, (float16_t)0.922701128f, + (float16_t)0.388345047f, (float16_t)0.921514039f, + (float16_t)0.391170384f, (float16_t)0.920318277f, + (float16_t)0.393992040f, (float16_t)0.919113852f, + (float16_t)0.396809987f, (float16_t)0.917900776f, + (float16_t)0.399624200f, (float16_t)0.916679060f, + (float16_t)0.402434651f, (float16_t)0.915448716f, + (float16_t)0.405241314f, (float16_t)0.914209756f, + (float16_t)0.408044163f, (float16_t)0.912962190f, + (float16_t)0.410843171f, (float16_t)0.911706032f, + (float16_t)0.413638312f, (float16_t)0.910441292f, + (float16_t)0.416429560f, (float16_t)0.909167983f, + (float16_t)0.419216888f, (float16_t)0.907886116f, + (float16_t)0.422000271f, (float16_t)0.906595705f, + (float16_t)0.424779681f, (float16_t)0.905296759f, + (float16_t)0.427555093f, (float16_t)0.903989293f, + (float16_t)0.430326481f, (float16_t)0.902673318f, + (float16_t)0.433093819f, (float16_t)0.901348847f, + (float16_t)0.435857080f, (float16_t)0.900015892f, + (float16_t)0.438616239f, (float16_t)0.898674466f, + (float16_t)0.441371269f, (float16_t)0.897324581f, + (float16_t)0.444122145f, (float16_t)0.895966250f, + (float16_t)0.446868840f, (float16_t)0.894599486f, + (float16_t)0.449611330f, (float16_t)0.893224301f, + (float16_t)0.452349587f, (float16_t)0.891840709f, + (float16_t)0.455083587f, (float16_t)0.890448723f, + (float16_t)0.457813304f, (float16_t)0.889048356f, + (float16_t)0.460538711f, (float16_t)0.887639620f, + (float16_t)0.463259784f, 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(float16_t)0.351292756f, (float16_t)-0.936265667f, + (float16_t)0.348418680f, (float16_t)-0.937339012f, + (float16_t)0.345541325f, (float16_t)-0.938403534f, + (float16_t)0.342660717f, (float16_t)-0.939459224f, + (float16_t)0.339776884f, (float16_t)-0.940506071f, + (float16_t)0.336889853f, (float16_t)-0.941544065f, + (float16_t)0.333999651f, (float16_t)-0.942573198f, + (float16_t)0.331106306f, (float16_t)-0.943593458f, + (float16_t)0.328209844f, (float16_t)-0.944604837f, + (float16_t)0.325310292f, (float16_t)-0.945607325f, + (float16_t)0.322407679f, (float16_t)-0.946600913f, + (float16_t)0.319502031f, (float16_t)-0.947585591f, + (float16_t)0.316593376f, (float16_t)-0.948561350f, + (float16_t)0.313681740f, (float16_t)-0.949528181f, + (float16_t)0.310767153f, (float16_t)-0.950486074f, + (float16_t)0.307849640f, (float16_t)-0.951435021f, + (float16_t)0.304929230f, (float16_t)-0.952375013f, + (float16_t)0.302005949f, (float16_t)-0.953306040f, + (float16_t)0.299079826f, (float16_t)-0.954228095f, + (float16_t)0.296150888f, (float16_t)-0.955141168f, + (float16_t)0.293219163f, (float16_t)-0.956045251f, + (float16_t)0.290284677f, (float16_t)-0.956940336f, + (float16_t)0.287347460f, (float16_t)-0.957826413f, + (float16_t)0.284407537f, (float16_t)-0.958703475f, + (float16_t)0.281464938f, (float16_t)-0.959571513f, + (float16_t)0.278519689f, (float16_t)-0.960430519f, + (float16_t)0.275571819f, (float16_t)-0.961280486f, + (float16_t)0.272621355f, (float16_t)-0.962121404f, + (float16_t)0.269668326f, (float16_t)-0.962953267f, + (float16_t)0.266712757f, (float16_t)-0.963776066f, + (float16_t)0.263754679f, (float16_t)-0.964589793f, + (float16_t)0.260794118f, (float16_t)-0.965394442f, + (float16_t)0.257831102f, (float16_t)-0.966190003f, + (float16_t)0.254865660f, (float16_t)-0.966976471f, + (float16_t)0.251897818f, (float16_t)-0.967753837f, + (float16_t)0.248927606f, (float16_t)-0.968522094f, + (float16_t)0.245955050f, (float16_t)-0.969281235f, + (float16_t)0.242980180f, (float16_t)-0.970031253f, + (float16_t)0.240003022f, (float16_t)-0.970772141f, + (float16_t)0.237023606f, (float16_t)-0.971503891f, + (float16_t)0.234041959f, (float16_t)-0.972226497f, + (float16_t)0.231058108f, (float16_t)-0.972939952f, + (float16_t)0.228072083f, (float16_t)-0.973644250f, + (float16_t)0.225083911f, (float16_t)-0.974339383f, + (float16_t)0.222093621f, (float16_t)-0.975025345f, + (float16_t)0.219101240f, (float16_t)-0.975702130f, + (float16_t)0.216106797f, (float16_t)-0.976369731f, + (float16_t)0.213110320f, (float16_t)-0.977028143f, + (float16_t)0.210111837f, (float16_t)-0.977677358f, + (float16_t)0.207111376f, (float16_t)-0.978317371f, + (float16_t)0.204108966f, (float16_t)-0.978948175f, + (float16_t)0.201104635f, (float16_t)-0.979569766f, + (float16_t)0.198098411f, (float16_t)-0.980182136f, + (float16_t)0.195090322f, (float16_t)-0.980785280f, + (float16_t)0.192080397f, (float16_t)-0.981379193f, + (float16_t)0.189068664f, (float16_t)-0.981963869f, + (float16_t)0.186055152f, (float16_t)-0.982539302f, + (float16_t)0.183039888f, (float16_t)-0.983105487f, + (float16_t)0.180022901f, (float16_t)-0.983662419f, + (float16_t)0.177004220f, (float16_t)-0.984210092f, + (float16_t)0.173983873f, (float16_t)-0.984748502f, + (float16_t)0.170961889f, (float16_t)-0.985277642f, + (float16_t)0.167938295f, (float16_t)-0.985797509f, + (float16_t)0.164913120f, (float16_t)-0.986308097f, + (float16_t)0.161886394f, (float16_t)-0.986809402f, + (float16_t)0.158858143f, (float16_t)-0.987301418f, + (float16_t)0.155828398f, (float16_t)-0.987784142f, + (float16_t)0.152797185f, (float16_t)-0.988257568f, + (float16_t)0.149764535f, (float16_t)-0.988721692f, + (float16_t)0.146730474f, (float16_t)-0.989176510f, + (float16_t)0.143695033f, (float16_t)-0.989622017f, + (float16_t)0.140658239f, (float16_t)-0.990058210f, + (float16_t)0.137620122f, (float16_t)-0.990485084f, + (float16_t)0.134580709f, (float16_t)-0.990902635f, + (float16_t)0.131540029f, (float16_t)-0.991310860f, + (float16_t)0.128498111f, (float16_t)-0.991709754f, + (float16_t)0.125454983f, (float16_t)-0.992099313f, + (float16_t)0.122410675f, (float16_t)-0.992479535f, + (float16_t)0.119365215f, (float16_t)-0.992850414f, + (float16_t)0.116318631f, (float16_t)-0.993211949f, + (float16_t)0.113270952f, (float16_t)-0.993564136f, + (float16_t)0.110222207f, (float16_t)-0.993906970f, + (float16_t)0.107172425f, (float16_t)-0.994240449f, + (float16_t)0.104121634f, (float16_t)-0.994564571f, + (float16_t)0.101069863f, (float16_t)-0.994879331f, + (float16_t)0.098017140f, (float16_t)-0.995184727f, + (float16_t)0.094963495f, (float16_t)-0.995480755f, + (float16_t)0.091908956f, (float16_t)-0.995767414f, + (float16_t)0.088853553f, (float16_t)-0.996044701f, + (float16_t)0.085797312f, (float16_t)-0.996312612f, + (float16_t)0.082740265f, (float16_t)-0.996571146f, + (float16_t)0.079682438f, (float16_t)-0.996820299f, + (float16_t)0.076623861f, (float16_t)-0.997060070f, + (float16_t)0.073564564f, (float16_t)-0.997290457f, + (float16_t)0.070504573f, (float16_t)-0.997511456f, + (float16_t)0.067443920f, (float16_t)-0.997723067f, + (float16_t)0.064382631f, (float16_t)-0.997925286f, + (float16_t)0.061320736f, (float16_t)-0.998118113f, + (float16_t)0.058258265f, (float16_t)-0.998301545f, + (float16_t)0.055195244f, (float16_t)-0.998475581f, + (float16_t)0.052131705f, (float16_t)-0.998640218f, + (float16_t)0.049067674f, (float16_t)-0.998795456f, + (float16_t)0.046003182f, (float16_t)-0.998941293f, + (float16_t)0.042938257f, (float16_t)-0.999077728f, + (float16_t)0.039872928f, (float16_t)-0.999204759f, + (float16_t)0.036807223f, (float16_t)-0.999322385f, + (float16_t)0.033741172f, (float16_t)-0.999430605f, + (float16_t)0.030674803f, (float16_t)-0.999529418f, + (float16_t)0.027608146f, (float16_t)-0.999618822f, + (float16_t)0.024541229f, (float16_t)-0.999698819f, + (float16_t)0.021474080f, (float16_t)-0.999769405f, + (float16_t)0.018406730f, (float16_t)-0.999830582f, + (float16_t)0.015339206f, (float16_t)-0.999882347f, + (float16_t)0.012271538f, (float16_t)-0.999924702f, + (float16_t)0.009203755f, (float16_t)-0.999957645f, + (float16_t)0.006135885f, (float16_t)-0.999981175f, + (float16_t)0.003067957f, (float16_t)-0.999995294f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_4096) +const float16_t twiddleCoefF16_rfft_4096[4096] = { + (float16_t)0.000000000f, (float16_t)1.000000000f, + (float16_t)0.001533980f, (float16_t)0.999998823f, + (float16_t)0.003067957f, (float16_t)0.999995294f, + (float16_t)0.004601926f, (float16_t)0.999989411f, + (float16_t)0.006135885f, (float16_t)0.999981175f, + (float16_t)0.007669829f, (float16_t)0.999970586f, + (float16_t)0.009203755f, (float16_t)0.999957645f, + (float16_t)0.010737659f, (float16_t)0.999942350f, + (float16_t)0.012271538f, (float16_t)0.999924702f, + (float16_t)0.013805389f, (float16_t)0.999904701f, + (float16_t)0.015339206f, (float16_t)0.999882347f, + (float16_t)0.016872988f, (float16_t)0.999857641f, + (float16_t)0.018406730f, (float16_t)0.999830582f, + (float16_t)0.019940429f, (float16_t)0.999801170f, + (float16_t)0.021474080f, (float16_t)0.999769405f, + (float16_t)0.023007681f, (float16_t)0.999735288f, + (float16_t)0.024541229f, (float16_t)0.999698819f, + (float16_t)0.026074718f, (float16_t)0.999659997f, + (float16_t)0.027608146f, (float16_t)0.999618822f, + (float16_t)0.029141509f, (float16_t)0.999575296f, + (float16_t)0.030674803f, (float16_t)0.999529418f, + (float16_t)0.032208025f, (float16_t)0.999481187f, + (float16_t)0.033741172f, (float16_t)0.999430605f, + (float16_t)0.035274239f, (float16_t)0.999377670f, + (float16_t)0.036807223f, (float16_t)0.999322385f, + (float16_t)0.038340120f, (float16_t)0.999264747f, + (float16_t)0.039872928f, (float16_t)0.999204759f, + (float16_t)0.041405641f, (float16_t)0.999142419f, + (float16_t)0.042938257f, (float16_t)0.999077728f, + (float16_t)0.044470772f, (float16_t)0.999010686f, + (float16_t)0.046003182f, (float16_t)0.998941293f, + (float16_t)0.047535484f, (float16_t)0.998869550f, + (float16_t)0.049067674f, (float16_t)0.998795456f, + (float16_t)0.050599749f, (float16_t)0.998719012f, + (float16_t)0.052131705f, (float16_t)0.998640218f, + (float16_t)0.053663538f, (float16_t)0.998559074f, + (float16_t)0.055195244f, (float16_t)0.998475581f, + (float16_t)0.056726821f, (float16_t)0.998389737f, + (float16_t)0.058258265f, (float16_t)0.998301545f, + (float16_t)0.059789571f, (float16_t)0.998211003f, + (float16_t)0.061320736f, (float16_t)0.998118113f, + (float16_t)0.062851758f, (float16_t)0.998022874f, + (float16_t)0.064382631f, (float16_t)0.997925286f, + (float16_t)0.065913353f, (float16_t)0.997825350f, + (float16_t)0.067443920f, (float16_t)0.997723067f, + (float16_t)0.068974328f, (float16_t)0.997618435f, + (float16_t)0.070504573f, (float16_t)0.997511456f, + (float16_t)0.072034653f, (float16_t)0.997402130f, + (float16_t)0.073564564f, (float16_t)0.997290457f, + (float16_t)0.075094301f, (float16_t)0.997176437f, + (float16_t)0.076623861f, (float16_t)0.997060070f, + (float16_t)0.078153242f, (float16_t)0.996941358f, + (float16_t)0.079682438f, (float16_t)0.996820299f, + (float16_t)0.081211447f, (float16_t)0.996696895f, + (float16_t)0.082740265f, (float16_t)0.996571146f, + (float16_t)0.084268888f, (float16_t)0.996443051f, + (float16_t)0.085797312f, (float16_t)0.996312612f, + (float16_t)0.087325535f, (float16_t)0.996179829f, + (float16_t)0.088853553f, (float16_t)0.996044701f, + (float16_t)0.090381361f, (float16_t)0.995907229f, + (float16_t)0.091908956f, (float16_t)0.995767414f, + (float16_t)0.093436336f, (float16_t)0.995625256f, + (float16_t)0.094963495f, (float16_t)0.995480755f, + (float16_t)0.096490431f, (float16_t)0.995333912f, + (float16_t)0.098017140f, (float16_t)0.995184727f, + (float16_t)0.099543619f, (float16_t)0.995033199f, + (float16_t)0.101069863f, (float16_t)0.994879331f, + (float16_t)0.102595869f, (float16_t)0.994723121f, + (float16_t)0.104121634f, (float16_t)0.994564571f, + (float16_t)0.105647154f, (float16_t)0.994403680f, + (float16_t)0.107172425f, (float16_t)0.994240449f, + (float16_t)0.108697444f, (float16_t)0.994074879f, + (float16_t)0.110222207f, (float16_t)0.993906970f, + (float16_t)0.111746711f, (float16_t)0.993736722f, + (float16_t)0.113270952f, (float16_t)0.993564136f, + (float16_t)0.114794927f, (float16_t)0.993389211f, + (float16_t)0.116318631f, (float16_t)0.993211949f, + (float16_t)0.117842062f, (float16_t)0.993032350f, + (float16_t)0.119365215f, (float16_t)0.992850414f, + (float16_t)0.120888087f, (float16_t)0.992666142f, + (float16_t)0.122410675f, (float16_t)0.992479535f, + (float16_t)0.123932975f, (float16_t)0.992290591f, + (float16_t)0.125454983f, (float16_t)0.992099313f, + (float16_t)0.126976696f, (float16_t)0.991905700f, + 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(float16_t)0.079682438f, (float16_t)-0.996820299f, + (float16_t)0.078153242f, (float16_t)-0.996941358f, + (float16_t)0.076623861f, (float16_t)-0.997060070f, + (float16_t)0.075094301f, (float16_t)-0.997176437f, + (float16_t)0.073564564f, (float16_t)-0.997290457f, + (float16_t)0.072034653f, (float16_t)-0.997402130f, + (float16_t)0.070504573f, (float16_t)-0.997511456f, + (float16_t)0.068974328f, (float16_t)-0.997618435f, + (float16_t)0.067443920f, (float16_t)-0.997723067f, + (float16_t)0.065913353f, (float16_t)-0.997825350f, + (float16_t)0.064382631f, (float16_t)-0.997925286f, + (float16_t)0.062851758f, (float16_t)-0.998022874f, + (float16_t)0.061320736f, (float16_t)-0.998118113f, + (float16_t)0.059789571f, (float16_t)-0.998211003f, + (float16_t)0.058258265f, (float16_t)-0.998301545f, + (float16_t)0.056726821f, (float16_t)-0.998389737f, + (float16_t)0.055195244f, (float16_t)-0.998475581f, + (float16_t)0.053663538f, (float16_t)-0.998559074f, + (float16_t)0.052131705f, (float16_t)-0.998640218f, + (float16_t)0.050599749f, (float16_t)-0.998719012f, + (float16_t)0.049067674f, (float16_t)-0.998795456f, + (float16_t)0.047535484f, (float16_t)-0.998869550f, + (float16_t)0.046003182f, (float16_t)-0.998941293f, + (float16_t)0.044470772f, (float16_t)-0.999010686f, + (float16_t)0.042938257f, (float16_t)-0.999077728f, + (float16_t)0.041405641f, (float16_t)-0.999142419f, + (float16_t)0.039872928f, (float16_t)-0.999204759f, + (float16_t)0.038340120f, (float16_t)-0.999264747f, + (float16_t)0.036807223f, (float16_t)-0.999322385f, + (float16_t)0.035274239f, (float16_t)-0.999377670f, + (float16_t)0.033741172f, (float16_t)-0.999430605f, + (float16_t)0.032208025f, (float16_t)-0.999481187f, + (float16_t)0.030674803f, (float16_t)-0.999529418f, + (float16_t)0.029141509f, (float16_t)-0.999575296f, + (float16_t)0.027608146f, (float16_t)-0.999618822f, + (float16_t)0.026074718f, (float16_t)-0.999659997f, + (float16_t)0.024541229f, (float16_t)-0.999698819f, + (float16_t)0.023007681f, (float16_t)-0.999735288f, + (float16_t)0.021474080f, (float16_t)-0.999769405f, + (float16_t)0.019940429f, (float16_t)-0.999801170f, + (float16_t)0.018406730f, (float16_t)-0.999830582f, + (float16_t)0.016872988f, (float16_t)-0.999857641f, + (float16_t)0.015339206f, (float16_t)-0.999882347f, + (float16_t)0.013805389f, (float16_t)-0.999904701f, + (float16_t)0.012271538f, (float16_t)-0.999924702f, + (float16_t)0.010737659f, (float16_t)-0.999942350f, + (float16_t)0.009203755f, (float16_t)-0.999957645f, + (float16_t)0.007669829f, (float16_t)-0.999970586f, + (float16_t)0.006135885f, (float16_t)-0.999981175f, + (float16_t)0.004601926f, (float16_t)-0.999989411f, + (float16_t)0.003067957f, (float16_t)-0.999995294f, + (float16_t)0.001533980f, (float16_t)-0.999998823f +}; + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALL_TABLES) */ + +#endif /*!defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)*/ + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) +const float16_t exp_tab_f16[8] = { + (1.f16), + (0.0416598916054f16), + (0.500000596046f16), + (0.00138889f16), + (1.00000011921f16), + (0.00833693705499f16), + (0.166665703058f16), + (0.000195780929062f16), +}; + +const float16_t __logf_lut_f16[8] = { + -2.295614848256274f16, /*p0*/ + -2.470711633419806f16, /*p4*/ + -5.686926051100417f16, /*p2*/ + -0.165253547131978f16, /*p6*/ + +5.175912446351073f16, /*p1*/ + +0.844006986174912f16, /*p5*/ + +4.584458825456749f16, /*p3*/ + +0.014127821926000f16 /*p7*/ +}; + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */ + +#endif /* Not ARM AC5 */ + + +/** + @} end of CFFT_CIFFT group +*/ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c new file mode 100644 index 00000000..aff3a130 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c @@ -0,0 +1,654 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs.c + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions. + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math_types.h" +#include "arm_const_structs.h" + +/* +ALLOW TABLE is true when config table is enabled and the Tramsform folder is included +for compilation. +*/ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +/* Floating-point structs */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len16 = { + 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len32 = { + 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len64 = { + 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len128 = { + 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len256 = { + 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len512 = { + 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024 = { + 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048 = { + 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096 = { + 4096, (const float64_t *)twiddleCoefF64_4096, armBitRevIndexTableF64_4096, ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH +}; +#endif + +/* Floating-point structs */ +#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = { + 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH +}; +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = { + 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = { + 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = { + 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = { + 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = { + 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = { + 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = { + 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = { + 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH +}; +#endif + +#endif /* !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ + +/* Fixed-point structs */ + +#if !defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = { + 16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = { + 32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = { + 64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = { + 128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = { + 256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = { + 512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = { + 1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = { + 2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = { + 4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = { + 16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = { + 32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = { + 64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = { + 128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = { + 256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = { + 512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = { + 1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = { + 2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = { + 4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; +#endif + +#endif /* !defined(ARM_MATH_MVEI) */ + +/* Structure for real-value inputs */ +/* Double precision strucs */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len32 = { + { 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH }, + 32U, + (float64_t *)twiddleCoefF64_rfft_32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len64 = { + { 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH }, + 64U, + (float64_t *)twiddleCoefF64_rfft_64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len128 = { + { 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH }, + 128U, + (float64_t *)twiddleCoefF64_rfft_128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len256 = { + { 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH }, + 256U, + (float64_t *)twiddleCoefF64_rfft_256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len512 = { + { 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH }, + 512U, + (float64_t *)twiddleCoefF64_rfft_512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len1024 = { + { 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH }, + 1024U, + (float64_t *)twiddleCoefF64_rfft_1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len2048 = { + { 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH }, + 2048U, + (float64_t *)twiddleCoefF64_rfft_2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len4096 = { + { 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH }, + 4096U, + (float64_t *)twiddleCoefF64_rfft_4096 +}; +#endif + +/* Floating-point structs */ + +#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = { + { 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH }, + 32U, + (float32_t *)twiddleCoef_rfft_32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = { + { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH }, + 64U, + (float32_t *)twiddleCoef_rfft_64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = { + { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH }, + 128U, + (float32_t *)twiddleCoef_rfft_128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = { + { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH }, + 256U, + (float32_t *)twiddleCoef_rfft_256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = { + { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH }, + 512U, + (float32_t *)twiddleCoef_rfft_512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = { + { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH }, + 1024U, + (float32_t *)twiddleCoef_rfft_1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = { + { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH }, + 2048U, + (float32_t *)twiddleCoef_rfft_2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = { + { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH }, + 4096U, + (float32_t *)twiddleCoef_rfft_4096 +}; +#endif + +#endif /* #if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ + +/* Fixed-point structs */ +/* q31_t */ + +#if !defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = { + 32U, + 0, + 1, + 256U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len16 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = { + 64U, + 0, + 1, + 128U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = { + 128U, + 0, + 1, + 64U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = { + 256U, + 0, + 1, + 32U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = { + 512U, + 0, + 1, + 16U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = { + 1024U, + 0, + 1, + 8U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = { + 2048U, + 0, + 1, + 4U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = { + 4096U, + 0, + 1, + 2U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = { + 8192U, + 0, + 1, + 1U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len4096 +}; +#endif + + + +/* q15_t */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = { + 32U, + 0, + 1, + 256U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len16 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = { + 64U, + 0, + 1, + 128U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = { + 128U, + 0, + 1, + 64U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = { + 256U, + 0, + 1, + 32U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = { + 512U, + 0, + 1, + 16U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = { + 1024U, + 0, + 1, + 8U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = { + 2048U, + 0, + 1, + 4U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = { + 4096U, + 0, + 1, + 2U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = { + 8192U, + 0, + 1, + 1U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len4096 +}; +#endif + +#endif /* !defined(ARM_MATH_MVEI) */ + + +#endif diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs_f16.c new file mode 100644 index 00000000..c0a20e5b --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs_f16.c @@ -0,0 +1,120 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs_f16.c + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions. + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math_types_f16.h" + +#if defined(ARM_FLOAT16_SUPPORTED) + +#include "arm_const_structs_f16.h" + + +/* +ALLOW TABLE is true when config table is enabled and the Tramsform folder is included +for compilation. +*/ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + + +/* Floating-point structs */ +#if !defined(ARM_MATH_MVE_FLOAT16) || defined(ARM_MATH_AUTOVECTORIZE) + + +/* + +Those structures cannot be used to initialize the MVE version of the FFT F32 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f16 must be used. + + +*/ + +#if !defined(__CC_ARM) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len16 = { + 16, twiddleCoefF16_16, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len32 = { + 32, twiddleCoefF16_32, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len64 = { + 64, twiddleCoefF16_64, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len128 = { + 128, twiddleCoefF16_128, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len256 = { + 256, twiddleCoefF16_256, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len512 = { + 512, twiddleCoefF16_512, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len1024 = { + 1024, twiddleCoefF16_1024, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len2048 = { + 2048, twiddleCoefF16_2048, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) +const arm_cfft_instance_f16 arm_cfft_sR_f16_len4096 = { + 4096, twiddleCoefF16_4096, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; +#endif +#endif + +#endif /* !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ + + +#endif + +#endif diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_mve_tables.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_mve_tables.c new file mode 100644 index 00000000..cae4bd8d --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_mve_tables.c @@ -0,0 +1,6533 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mve_tables.c + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * used for MVE implementation only + * + * @version V1.10.0 + * @date 04 October 2021 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + #include "arm_math_types.h" + + + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + +uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2]={ +0,0,}; + +float32_t rearranged_twiddle_stride1_16_f32[8]={ +1.00000000000000000000f,0.00000000000000000000f,0.92387950420379638672f, +0.38268342614173889160f,0.70710676908493041992f,0.70710676908493041992f, +0.38268342614173889160f,0.92387950420379638672f,}; + +float32_t rearranged_twiddle_stride2_16_f32[8]={ +1.00000000000000000000f,0.00000000000000000000f,0.70710676908493041992f, +0.70710676908493041992f,0.00000000000000006123f,1.00000000000000000000f, +-0.70710676908493041992f,0.70710676908493041992f,}; + +float32_t rearranged_twiddle_stride3_16_f32[8]={ +1.00000000000000000000f,0.00000000000000000000f,0.38268342614173889160f, +0.92387950420379638672f,-0.70710676908493041992f,0.70710676908493041992f, +-0.92387950420379638672f,-0.38268342614173889160f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + +uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3]={ +0,32,0,}; + +float32_t rearranged_twiddle_stride1_64_f32[40]={ +1.00000000000000000000f,0.00000000000000000000f,0.99518471956253051758f, +0.09801714122295379639f,0.98078525066375732422f,0.19509032368659973145f, +0.95694035291671752930f,0.29028466343879699707f,0.92387950420379638672f, +0.38268342614173889160f,0.88192129135131835938f,0.47139674425125122070f, +0.83146959543228149414f,0.55557024478912353516f,0.77301043272018432617f, +0.63439327478408813477f,0.70710676908493041992f,0.70710676908493041992f, +0.63439327478408813477f,0.77301043272018432617f,0.55557024478912353516f, +0.83146959543228149414f,0.47139674425125122070f,0.88192129135131835938f, +0.38268342614173889160f,0.92387950420379638672f,0.29028466343879699707f, +0.95694035291671752930f,0.19509032368659973145f,0.98078525066375732422f, +0.09801714122295379639f,0.99518471956253051758f,1.00000000000000000000f, +0.00000000000000000000f,0.92387950420379638672f,0.38268342614173889160f, +0.70710676908493041992f,0.70710676908493041992f,0.38268342614173889160f, +0.92387950420379638672f,}; + +float32_t rearranged_twiddle_stride2_64_f32[40]={ +1.00000000000000000000f,0.00000000000000000000f,0.98078525066375732422f, +0.19509032368659973145f,0.92387950420379638672f,0.38268342614173889160f, +0.83146959543228149414f,0.55557024478912353516f,0.70710676908493041992f, +0.70710676908493041992f,0.55557024478912353516f,0.83146959543228149414f, +0.38268342614173889160f,0.92387950420379638672f,0.19509032368659973145f, +0.98078525066375732422f,0.00000000000000006123f,1.00000000000000000000f, +-0.19509032368659973145f,0.98078525066375732422f,-0.38268342614173889160f, +0.92387950420379638672f,-0.55557024478912353516f,0.83146959543228149414f, +-0.70710676908493041992f,0.70710676908493041992f,-0.83146959543228149414f, +0.55557024478912353516f,-0.92387950420379638672f,0.38268342614173889160f, +-0.98078525066375732422f,0.19509032368659973145f,1.00000000000000000000f, +0.00000000000000000000f,0.70710676908493041992f,0.70710676908493041992f, +0.00000000000000006123f,1.00000000000000000000f,-0.70710676908493041992f, +0.70710676908493041992f,}; + +float32_t rearranged_twiddle_stride3_64_f32[40]={ +1.00000000000000000000f,0.00000000000000000000f,0.95694035291671752930f, +0.29028466343879699707f,0.83146959543228149414f,0.55557024478912353516f, +0.63439327478408813477f,0.77301043272018432617f,0.38268342614173889160f, +0.92387950420379638672f,0.09801714122295379639f,0.99518471956253051758f, +-0.19509032368659973145f,0.98078525066375732422f,-0.47139674425125122070f, +0.88192129135131835938f,-0.70710676908493041992f,0.70710676908493041992f, +-0.88192129135131835938f,0.47139674425125122070f,-0.98078525066375732422f, +0.19509032368659973145f,-0.99518471956253051758f,-0.09801714122295379639f, +-0.92387950420379638672f,-0.38268342614173889160f,-0.77301043272018432617f, +-0.63439327478408813477f,-0.55557024478912353516f,-0.83146959543228149414f, +-0.29028466343879699707f,-0.95694035291671752930f,1.00000000000000000000f, +0.00000000000000000000f,0.38268342614173889160f,0.92387950420379638672f, +-0.70710676908493041992f,0.70710676908493041992f,-0.92387950420379638672f, +-0.38268342614173889160f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + +uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4]={ +0,128,160,0,}; + +float32_t rearranged_twiddle_stride1_256_f32[168]={ +1.00000000000000000000f,0.00000000000000000000f,0.99969881772994995117f, +0.02454122900962829590f,0.99879544973373413086f,0.04906767606735229492f, +0.99729043245315551758f,0.07356456667184829712f,0.99518471956253051758f, +0.09801714122295379639f,0.99247956275939941406f,0.12241067737340927124f, +0.98917651176452636719f,0.14673046767711639404f,0.98527765274047851562f, +0.17096188664436340332f,0.98078525066375732422f,0.19509032368659973145f, +0.97570210695266723633f,0.21910123527050018311f,0.97003126144409179688f, +0.24298018217086791992f,0.96377605199813842773f,0.26671275496482849121f, +0.95694035291671752930f,0.29028466343879699707f,0.94952815771102905273f, +0.31368175148963928223f,0.94154405593872070312f,0.33688986301422119141f, +0.93299281597137451172f,0.35989505052566528320f,0.92387950420379638672f, +0.38268342614173889160f,0.91420978307723999023f,0.40524131059646606445f, +0.90398931503295898438f,0.42755508422851562500f,0.89322429895401000977f, +0.44961133599281311035f,0.88192129135131835938f,0.47139674425125122070f, +0.87008696794509887695f,0.49289819598197937012f,0.85772860050201416016f, +0.51410275697708129883f,0.84485357999801635742f,0.53499764204025268555f, +0.83146959543228149414f,0.55557024478912353516f,0.81758481264114379883f, +0.57580816745758056641f,0.80320751667022705078f,0.59569931030273437500f, +0.78834640979766845703f,0.61523157358169555664f,0.77301043272018432617f, +0.63439327478408813477f,0.75720882415771484375f,0.65317285060882568359f, +0.74095112085342407227f,0.67155897617340087891f,0.72424709796905517578f, +0.68954056501388549805f,0.70710676908493041992f,0.70710676908493041992f, +0.68954056501388549805f,0.72424709796905517578f,0.67155897617340087891f, +0.74095112085342407227f,0.65317285060882568359f,0.75720882415771484375f, +0.63439327478408813477f,0.77301043272018432617f,0.61523157358169555664f, 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+-0.97570210695266723633f,-0.14673046767711639404f,-0.98917651176452636719f, +-0.07356456667184829712f,-0.99729043245315551758f,1.00000000000000000000f, +0.00000000000000000000f,0.95694035291671752930f,0.29028466343879699707f, +0.83146959543228149414f,0.55557024478912353516f,0.63439327478408813477f, +0.77301043272018432617f,0.38268342614173889160f,0.92387950420379638672f, +0.09801714122295379639f,0.99518471956253051758f,-0.19509032368659973145f, +0.98078525066375732422f,-0.47139674425125122070f,0.88192129135131835938f, +-0.70710676908493041992f,0.70710676908493041992f,-0.88192129135131835938f, +0.47139674425125122070f,-0.98078525066375732422f,0.19509032368659973145f, +-0.99518471956253051758f,-0.09801714122295379639f,-0.92387950420379638672f, +-0.38268342614173889160f,-0.77301043272018432617f,-0.63439327478408813477f, +-0.55557024478912353516f,-0.83146959543228149414f,-0.29028466343879699707f, +-0.95694035291671752930f,1.00000000000000000000f,0.00000000000000000000f, +0.38268342614173889160f,0.92387950420379638672f,-0.70710676908493041992f, +0.70710676908493041992f,-0.92387950420379638672f,-0.38268342614173889160f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) + +uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5]={ +0,512,640,672,0,}; + +float32_t rearranged_twiddle_stride1_1024_f32[680]={ +1.00000000000000000000f,0.00000000000000000000f,0.99998116493225097656f, +0.00613588467240333557f,0.99992471933364868164f,0.01227153837680816650f, +0.99983060359954833984f,0.01840673014521598816f,0.99969881772994995117f, +0.02454122900962829590f,0.99952942132949829102f,0.03067480400204658508f, +0.99932235479354858398f,0.03680722415447235107f,0.99907773733139038086f, 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rearranged_twiddle_tab_stride1_arr_16_q31[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2]={ +0,0,}; + +q31_t rearranged_twiddle_stride1_16_q31[8]={ +0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D, +0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_16_q31[8]={ +0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666, +0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_16_q31[8]={ +0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3, +0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + +uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3]={ +0,32,0,}; + +q31_t rearranged_twiddle_stride1_64_q31[40]={ +0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B, +0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319, +0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7, +0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5, +0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D, +0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_64_q31[40]={ +0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4, +0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3, +0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3, +0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319, +0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A, +0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_64_q31[40]={ +0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,0xB8E31319,0x5133CC94, +0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,0xE70747C4,0x8275A0C0, +0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,0xC3A94590,0x8275A0C0, +0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94, +0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D, +0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + +uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4]={ +0,128,160,0,}; + +q31_t rearranged_twiddle_stride1_256_q31[168]={ +0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684,0x7FA736B4, +0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC,0xED37EF91, +0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE, +0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8, +0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345, +0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590, +0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4, +0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B, +0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0, +0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376, +0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4, +0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0, +0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32, +0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3, +0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E, +0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E, +0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B, +0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872, +0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40, +0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590, +0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94, +0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3, +0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF, +0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_256_q31[168]={ +0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC, +0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2, +0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6, +0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C, +0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2, +0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C, +0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D, +0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412, +0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C, +0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971, +0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2, +0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F, +0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C, +0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666, +0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C, +0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC, +0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412, +0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2, +0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D, +0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C, +0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4, +0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666, +0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF, +0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_256_q31[168]={ +0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,0x7CE3CEB2, +0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,0xC945DFEC, +0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,0x5ED77C8A, +0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,0x9759617F, +0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,0x2826B928, +0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,0x809DC971, +0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,0xE70747C4, +0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,0x8AFB2CBB, +0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,0xAC64D510, +0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,0xB3C0200C, +0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,0x877B7BEC, +0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,0xF054D8D5, +0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,0x81E26C16, +0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,0x30FBC54D, +0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,0x9D0DFE54, +0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,0x64E88926, +0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,0xD1EEF59E, +0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,0x7E9D55FC, +0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4, +0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971, +0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A, +0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D, +0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF, +0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + +uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5]={ +0,512,640,672,0,}; + +q31_t rearranged_twiddle_stride1_1024_q31[680]={ +0x7FFFFFFF,0x00000000,0x7FFF6216,0xFF36F078,0x7FFD885A,0xFE6DE2E0,0x7FFA72D1, +0xFDA4D929,0x7FF62182,0xFCDBD541,0x7FF09478,0xFC12D91A,0x7FE9CBC0,0xFB49E6A3, +0x7FE1C76B,0xFA80FFCB,0x7FD8878E,0xF9B82684,0x7FCE0C3E,0xF8EF5CBB,0x7FC25596, +0xF826A462,0x7FB563B3,0xF75DFF66,0x7FA736B4,0xF6956FB7,0x7F97CEBD,0xF5CCF743, +0x7F872BF3,0xF50497FB,0x7F754E80,0xF43C53CB,0x7F62368F,0xF3742CA2,0x7F4DE451, +0xF2AC246E,0x7F3857F6,0xF1E43D1C,0x7F2191B4,0xF11C789A,0x7F0991C4,0xF054D8D5, +0x7EF05860,0xEF8D5FB8,0x7ED5E5C6,0xEEC60F31,0x7EBA3A39,0xEDFEE92B,0x7E9D55FC, +0xED37EF91,0x7E7F3957,0xEC71244F,0x7E5FE493,0xEBAA894F,0x7E3F57FF,0xEAE4207A, +0x7E1D93EA,0xEA1DEBBB,0x7DFA98A8,0xE957ECFB,0x7DD6668F,0xE8922622,0x7DB0FDF8, +0xE7CC9917,0x7D8A5F40,0xE70747C4,0x7D628AC6,0xE642340D,0x7D3980EC,0xE57D5FDA, +0x7D0F4218,0xE4B8CD11,0x7CE3CEB2,0xE3F47D96,0x7CB72724,0xE330734D,0x7C894BDE, +0xE26CB01B,0x7C5A3D50,0xE1A935E2,0x7C29FBEE,0xE0E60685,0x7BF88830,0xE02323E5, +0x7BC5E290,0xDF608FE4,0x7B920B89,0xDE9E4C60,0x7B5D039E,0xDDDC5B3B,0x7B26CB4F, +0xDD1ABE51,0x7AEF6323,0xDC597781,0x7AB6CBA4,0xDB9888A8,0x7A7D055B,0xDAD7F3A2, +0x7A4210D8,0xDA17BA4A,0x7A05EEAD,0xD957DE7A,0x79C89F6E,0xD898620C,0x798A23B1, +0xD7D946D8,0x794A7C12,0xD71A8EB5,0x7909A92D,0xD65C3B7B,0x78C7ABA2,0xD59E4EFF, +0x78848414,0xD4E0CB15,0x78403329,0xD423B191,0x77FAB989,0xD3670446,0x77B417DF, +0xD2AAC504,0x776C4EDB,0xD1EEF59E,0x77235F2D,0xD13397E2,0x76D94989,0xD078AD9E, +0x768E0EA6,0xCFBE389F,0x7641AF3D,0xCF043AB3,0x75F42C0B,0xCE4AB5A2,0x75A585CF, +0xCD91AB39,0x7555BD4C,0xCCD91D3D,0x7504D345,0xCC210D79,0x74B2C884,0xCB697DB0, +0x745F9DD1,0xCAB26FA9,0x740B53FB,0xC9FBE527,0x73B5EBD1,0xC945DFEC,0x735F6626, +0xC89061BA,0x7307C3D0,0xC7DB6C50,0x72AF05A7,0xC727016D,0x72552C85,0xC67322CE, +0x71FA3949,0xC5BFD22E,0x719E2CD2,0xC50D1149,0x71410805,0xC45AE1D7,0x70E2CBC6, +0xC3A94590,0x708378FF,0xC2F83E2A,0x7023109A,0xC247CD5A,0x6FC19385,0xC197F4D4, +0x6F5F02B2,0xC0E8B648,0x6EFB5F12,0xC03A1368,0x6E96A99D,0xBF8C0DE3,0x6E30E34A, +0xBEDEA765,0x6DCA0D14,0xBE31E19B,0x6D6227FA,0xBD85BE30,0x6CF934FC,0xBCDA3ECB, +0x6C8F351C,0xBC2F6513,0x6C242960,0xBB8532B0,0x6BB812D1,0xBADBA943,0x6B4AF279, +0xBA32CA71,0x6ADCC964,0xB98A97D8,0x6A6D98A4,0xB8E31319,0x69FD614A,0xB83C3DD1, +0x698C246C,0xB796199B,0x6919E320,0xB6F0A812,0x68A69E81,0xB64BEACD,0x683257AB, +0xB5A7E362,0x67BD0FBD,0xB5049368,0x6746C7D8,0xB461FC70,0x66CF8120,0xB3C0200C, +0x66573CBB,0xB31EFFCC,0x65DDFBD3,0xB27E9D3C,0x6563BF92,0xB1DEF9E9,0x64E88926, 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+0x812A1A3A,0x1072A048,0x810FA7A0,0x0FAB272B,0x80F66E3C,0x0EE38766,0x80DE6E4C, +0x0E1BC2E4,0x80C7A80A,0x0D53DB92,0x80B21BAF,0x0C8BD35E,0x809DC971,0x0BC3AC35, +0x808AB180,0x0AFB6805,0x8078D40D,0x0A3308BD,0x80683143,0x096A9049,0x8058C94C, +0x08A2009A,0x804A9C4D,0x07D95B9E,0x803DAA6A,0x0710A345,0x8031F3C2,0x0647D97C, +0x80277872,0x057F0035,0x801E3895,0x04B6195D,0x80163440,0x03ED26E6,0x800F6B88, +0x03242ABF,0x8009DE7E,0x025B26D7,0x80058D2F,0x01921D20,0x800277A6,0x00C90F88, +0x80009DEA,0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684, +0x7FA736B4,0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC, +0xED37EF91,0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96, +0x7C29FBEE,0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1, +0xD7D946D8,0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3, +0x7504D345,0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6, +0xC3A94590,0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0, +0x6A6D98A4,0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926, +0xB140175B,0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E, +0x5CB420E0,0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2, +0xA1288376,0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA, +0x4C3FDFF4,0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50, +0x93DBD6A0,0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A, +0x398CDD32,0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D, +0x89BE50C3,0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F, +0x25280C5E,0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A, +0x831C314E,0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04, +0x0FAB272B,0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C, +0x80277872,0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2, +0x7D8A5F40,0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6, +0xC3A94590,0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666, +0x5133CC94,0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D, +0x89BE50C3,0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971, +0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D, +0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_1024_q31[680]={ +0x7FFFFFFF,0x00000000,0x7FFD885A,0xFE6DE2E0,0x7FF62182,0xFCDBD541,0x7FE9CBC0, +0xFB49E6A3,0x7FD8878E,0xF9B82684,0x7FC25596,0xF826A462,0x7FA736B4,0xF6956FB7, +0x7F872BF3,0xF50497FB,0x7F62368F,0xF3742CA2,0x7F3857F6,0xF1E43D1C,0x7F0991C4, +0xF054D8D5,0x7ED5E5C6,0xEEC60F31,0x7E9D55FC,0xED37EF91,0x7E5FE493,0xEBAA894F, +0x7E1D93EA,0xEA1DEBBB,0x7DD6668F,0xE8922622,0x7D8A5F40,0xE70747C4,0x7D3980EC, +0xE57D5FDA,0x7CE3CEB2,0xE3F47D96,0x7C894BDE,0xE26CB01B,0x7C29FBEE,0xE0E60685, +0x7BC5E290,0xDF608FE4,0x7B5D039E,0xDDDC5B3B,0x7AEF6323,0xDC597781,0x7A7D055B, +0xDAD7F3A2,0x7A05EEAD,0xD957DE7A,0x798A23B1,0xD7D946D8,0x7909A92D,0xD65C3B7B, +0x78848414,0xD4E0CB15,0x77FAB989,0xD3670446,0x776C4EDB,0xD1EEF59E,0x76D94989, +0xD078AD9E,0x7641AF3D,0xCF043AB3,0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79, +0x745F9DD1,0xCAB26FA9,0x73B5EBD1,0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85, +0xC67322CE,0x719E2CD2,0xC50D1149,0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A, +0x6F5F02B2,0xC0E8B648,0x6E96A99D,0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC, +0xBCDA3ECB,0x6C242960,0xBB8532B0,0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319, +0x698C246C,0xB796199B,0x68A69E81,0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120, +0xB3C0200C,0x65DDFBD3,0xB27E9D3C,0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3, +0x62F201AC,0xAECC336C,0x61F1003F,0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D, +0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E,0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC, +0x5B9D1154,0xA69B9B68,0x5A82799A,0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54, +0xA34BDF20,0x571DEEFA,0xA2386284,0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73, +0x539B2AF0,0x9F13C7D0,0x5269126E,0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D, +0x9C10CD70,0x4EBFE8A5,0x9B1776DA,0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0, +0x4AFB6C98,0x9842F043,0x49B41533,0x9759617F,0x4869E665,0x9673DB94,0x471CECE7, +0x9592675C,0x45CD358F,0x94B50D87,0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04, +0x41CE1E65,0x9235F2EC,0x4073F21D,0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6, +0x8FDCEF66,0x3C56BA70,0x8F1D343A,0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B, +0x382493B0,0x8CF83C30,0x36BA2014,0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287, +0x8AFB2CBB,0x326E54C7,0x8A5A7A31,0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677, +0x2E110A62,0x8893B125,0x2C98FBBA,0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485, +0x86F656D3,0x2826B928,0x8675DC4F,0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5, +0x23A6887F,0x85109CDD,0x2223A4C5,0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B, +0x83D60412,0x1D934FE5,0x8376B422,0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14, +0x18F8B83C,0x8275A0C0,0x176DD9DE,0x82299971,0x15E21445,0x81E26C16,0x145576B1, +0x81A01B6D,0x12C8106F,0x8162AA04,0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C, +0x0E1BC2E4,0x80C7A80A,0x0C8BD35E,0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049, +0x8058C94C,0x07D95B9E,0x803DAA6A,0x0647D97C,0x80277872,0x04B6195D,0x80163440, +0x03242ABF,0x8009DE7E,0x01921D20,0x800277A6,0x00000000,0x80000000,0xFE6DE2E0, +0x800277A6,0xFCDBD541,0x8009DE7E,0xFB49E6A3,0x80163440,0xF9B82684,0x80277872, +0xF826A462,0x803DAA6A,0xF6956FB7,0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2, +0x809DC971,0xF1E43D1C,0x80C7A80A,0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A, +0xED37EF91,0x8162AA04,0xEBAA894F,0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622, +0x82299971,0xE70747C4,0x8275A0C0,0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E, +0xE26CB01B,0x8376B422,0xE0E60685,0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B, +0x84A2FC62,0xDC597781,0x85109CDD,0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153, +0xD7D946D8,0x8675DC4F,0xD65C3B7B,0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446, +0x88054677,0xD1EEF59E,0x8893B125,0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3, +0xCD91AB39,0x8A5A7A31,0xCC210D79,0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC, +0x8C4A142F,0xC7DB6C50,0x8CF83C30,0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E, +0xC3A94590,0x8F1D343A,0xC247CD5A,0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3, +0x91695663,0xBE31E19B,0x9235F2EC,0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0, +0xBA32CA71,0x94B50D87,0xB8E31319,0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD, +0x9759617F,0xB5049368,0x9842F043,0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D, +0xB140175B,0x9B1776DA,0xB0049AB3,0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92, +0x9E0EFFC1,0xAC64D510,0x9F13C7D0,0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376, +0xA8E21106,0xA2386284,0xA7BD22AC,0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666, +0xA57D8666,0xA462EEAC,0xA69B9B68,0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106, +0xA1288376,0xAA0A5B2E,0xA01C4C73,0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1, +0xAD96ED92,0x9D0DFE54,0xAECC336C,0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B, +0x9A22042D,0xB27E9D3C,0x99307EE0,0xB3C0200C,0x9842F043,0xB5049368,0x9759617F, +0xB64BEACD,0x9673DB94,0xB796199B,0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71, +0x93DBD6A0,0xBB8532B0,0x9306CB04,0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663, +0xBF8C0DE3,0x90A0FD4E,0xC0E8B648,0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590, +0x8E61D32E,0xC50D1149,0x8DAAD37B,0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F, +0xC945DFEC,0x8BA0622F,0xCAB26FA9,0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39, +0x89BE50C3,0xCF043AB3,0x8926B677,0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677, +0xD3670446,0x877B7BEC,0xD4E0CB15,0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8, +0x85FA1153,0xD957DE7A,0x8582FAA5,0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62, +0xDDDC5B3B,0x843A1D70,0xDF608FE4,0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B, +0x831C314E,0xE3F47D96,0x82C67F14,0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971, +0xE8922622,0x81E26C16,0xEA1DEBBB,0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91, +0x812A1A3A,0xEEC60F31,0x80F66E3C,0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971, +0xF3742CA2,0x8078D40D,0xF50497FB,0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462, +0x80277872,0xF9B82684,0x80163440,0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6, +0xFE6DE2E0,0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2, +0x7E9D55FC,0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B, +0xDAD7F3A2,0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC, +0x70E2CBC6,0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120, +0xB3C0200C,0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666, +0x55F5A4D2,0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7, +0x9592675C,0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F, +0x30FBC54D,0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B, +0x83D60412,0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971, +0x0647D97C,0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2, +0x809DC971,0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412, +0xDAD7F3A2,0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC, +0x8C4A142F,0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C, +0xB3C0200C,0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666, +0xA57D8666,0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C, +0x9592675C,0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F, +0xC945DFEC,0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2, +0x83D60412,0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971, +0xF3742CA2,0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4, +0x7641AF3D,0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7, +0x9592675C,0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000, +0xE70747C4,0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666, +0xA57D8666,0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4, +0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666, +0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_1024_q31[680]={ +0x7FFFFFFF,0x00000000,0x7FFA72D1,0xFDA4D929,0x7FE9CBC0,0xFB49E6A3,0x7FCE0C3E, +0xF8EF5CBB,0x7FA736B4,0xF6956FB7,0x7F754E80,0xF43C53CB,0x7F3857F6,0xF1E43D1C, +0x7EF05860,0xEF8D5FB8,0x7E9D55FC,0xED37EF91,0x7E3F57FF,0xEAE4207A,0x7DD6668F, +0xE8922622,0x7D628AC6,0xE642340D,0x7CE3CEB2,0xE3F47D96,0x7C5A3D50,0xE1A935E2, +0x7BC5E290,0xDF608FE4,0x7B26CB4F,0xDD1ABE51,0x7A7D055B,0xDAD7F3A2,0x79C89F6E, +0xD898620C,0x7909A92D,0xD65C3B7B,0x78403329,0xD423B191,0x776C4EDB,0xD1EEF59E, +0x768E0EA6,0xCFBE389F,0x75A585CF,0xCD91AB39,0x74B2C884,0xCB697DB0,0x73B5EBD1, +0xC945DFEC,0x72AF05A7,0xC727016D,0x719E2CD2,0xC50D1149,0x708378FF,0xC2F83E2A, +0x6F5F02B2,0xC0E8B648,0x6E30E34A,0xBEDEA765,0x6CF934FC,0xBCDA3ECB,0x6BB812D1, +0xBADBA943,0x6A6D98A4,0xB8E31319,0x6919E320,0xB6F0A812,0x67BD0FBD,0xB5049368, +0x66573CBB,0xB31EFFCC,0x64E88926,0xB140175B,0x637114CC,0xAF6803A2,0x61F1003F, +0xAD96ED92,0x60686CCF,0xABCCFD83,0x5ED77C8A,0xAA0A5B2E,0x5D3E5237,0xA84F2DAA, +0x5B9D1154,0xA69B9B68,0x59F3DE12,0xA4EFCA31,0x5842DD54,0xA34BDF20,0x568A34A9, +0xA1AFFEA3,0x54CA0A4B,0xA01C4C73,0x53028518,0x9E90EB94,0x5133CC94,0x9D0DFE54, +0x4F5E08E3,0x9B93A641,0x4D8162C4,0x9A22042D,0x4B9E0390,0x98B93828,0x49B41533, +0x9759617F,0x47C3C22F,0x96029EB6,0x45CD358F,0x94B50D87,0x43D09AED,0x9370CAE4, +0x41CE1E65,0x9235F2EC,0x3FC5EC98,0x9104A0EE,0x3DB832A6,0x8FDCEF66,0x3BA51E29, +0x8EBEF7FB,0x398CDD32,0x8DAAD37B,0x376F9E46,0x8CA099DA,0x354D9057,0x8BA0622F, +0x3326E2C3,0x8AAA42B4,0x30FBC54D,0x89BE50C3,0x2ECC681E,0x88DCA0D3,0x2C98FBBA, +0x88054677,0x2A61B101,0x8738545E,0x2826B928,0x8675DC4F,0x25E845B6,0x85BDEF28, +0x23A6887F,0x85109CDD,0x2161B3A0,0x846DF477,0x1F19F97B,0x83D60412,0x1CCF8CB3, +0x8348D8DC,0x1A82A026,0x82C67F14,0x183366E9,0x824F0208,0x15E21445,0x81E26C16, +0x138EDBB1,0x8180C6A9,0x1139F0CF,0x812A1A3A,0x0EE38766,0x80DE6E4C,0x0C8BD35E, +0x809DC971,0x0A3308BD,0x80683143,0x07D95B9E,0x803DAA6A,0x057F0035,0x801E3895, +0x03242ABF,0x8009DE7E,0x00C90F88,0x80009DEA,0xFE6DE2E0,0x800277A6,0xFC12D91A, +0x800F6B88,0xF9B82684,0x80277872,0xF75DFF66,0x804A9C4D,0xF50497FB,0x8078D40D, +0xF2AC246E,0x80B21BAF,0xF054D8D5,0x80F66E3C,0xEDFEE92B,0x8145C5C7,0xEBAA894F, +0x81A01B6D,0xE957ECFB,0x82056758,0xE70747C4,0x8275A0C0,0xE4B8CD11,0x82F0BDE8, +0xE26CB01B,0x8376B422,0xE02323E5,0x840777D0,0xDDDC5B3B,0x84A2FC62,0xDB9888A8, +0x8549345C,0xD957DE7A,0x85FA1153,0xD71A8EB5,0x86B583EE,0xD4E0CB15,0x877B7BEC, +0xD2AAC504,0x884BE821,0xD078AD9E,0x8926B677,0xCE4AB5A2,0x8A0BD3F5,0xCC210D79, +0x8AFB2CBB,0xC9FBE527,0x8BF4AC05,0xC7DB6C50,0x8CF83C30,0xC5BFD22E,0x8E05C6B7, +0xC3A94590,0x8F1D343A,0xC197F4D4,0x903E6C7B,0xBF8C0DE3,0x91695663,0xBD85BE30, +0x929DD806,0xBB8532B0,0x93DBD6A0,0xB98A97D8,0x9523369C,0xB796199B,0x9673DB94, +0xB5A7E362,0x97CDA855,0xB3C0200C,0x99307EE0,0xB1DEF9E9,0x9A9C406E,0xB0049AB3, +0x9C10CD70,0xAE312B92,0x9D8E0597,0xAC64D510,0x9F13C7D0,0xAA9FBF1E,0xA0A1F24D, +0xA8E21106,0xA2386284,0xA72BF174,0xA3D6F534,0xA57D8666,0xA57D8666,0xA3D6F534, +0xA72BF174,0xA2386284,0xA8E21106,0xA0A1F24D,0xAA9FBF1E,0x9F13C7D0,0xAC64D510, +0x9D8E0597,0xAE312B92,0x9C10CD70,0xB0049AB3,0x9A9C406E,0xB1DEF9E9,0x99307EE0, +0xB3C0200C,0x97CDA855,0xB5A7E362,0x9673DB94,0xB796199B,0x9523369C,0xB98A97D8, +0x93DBD6A0,0xBB8532B0,0x929DD806,0xBD85BE30,0x91695663,0xBF8C0DE3,0x903E6C7B, +0xC197F4D4,0x8F1D343A,0xC3A94590,0x8E05C6B7,0xC5BFD22E,0x8CF83C30,0xC7DB6C50, +0x8BF4AC05,0xC9FBE527,0x8AFB2CBB,0xCC210D79,0x8A0BD3F5,0xCE4AB5A2,0x8926B677, +0xD078AD9E,0x884BE821,0xD2AAC504,0x877B7BEC,0xD4E0CB15,0x86B583EE,0xD71A8EB5, +0x85FA1153,0xD957DE7A,0x8549345C,0xDB9888A8,0x84A2FC62,0xDDDC5B3B,0x840777D0, +0xE02323E5,0x8376B422,0xE26CB01B,0x82F0BDE8,0xE4B8CD11,0x8275A0C0,0xE70747C4, +0x82056758,0xE957ECFB,0x81A01B6D,0xEBAA894F,0x8145C5C7,0xEDFEE92B,0x80F66E3C, +0xF054D8D5,0x80B21BAF,0xF2AC246E,0x8078D40D,0xF50497FB,0x804A9C4D,0xF75DFF66, +0x80277872,0xF9B82684,0x800F6B88,0xFC12D91A,0x800277A6,0xFE6DE2E0,0x80009DEA, +0x00C90F88,0x8009DE7E,0x03242ABF,0x801E3895,0x057F0035,0x803DAA6A,0x07D95B9E, +0x80683143,0x0A3308BD,0x809DC971,0x0C8BD35E,0x80DE6E4C,0x0EE38766,0x812A1A3A, +0x1139F0CF,0x8180C6A9,0x138EDBB1,0x81E26C16,0x15E21445,0x824F0208,0x183366E9, +0x82C67F14,0x1A82A026,0x8348D8DC,0x1CCF8CB3,0x83D60412,0x1F19F97B,0x846DF477, +0x2161B3A0,0x85109CDD,0x23A6887F,0x85BDEF28,0x25E845B6,0x8675DC4F,0x2826B928, +0x8738545E,0x2A61B101,0x88054677,0x2C98FBBA,0x88DCA0D3,0x2ECC681E,0x89BE50C3, +0x30FBC54D,0x8AAA42B4,0x3326E2C3,0x8BA0622F,0x354D9057,0x8CA099DA,0x376F9E46, +0x8DAAD37B,0x398CDD32,0x8EBEF7FB,0x3BA51E29,0x8FDCEF66,0x3DB832A6,0x9104A0EE, +0x3FC5EC98,0x9235F2EC,0x41CE1E65,0x9370CAE4,0x43D09AED,0x94B50D87,0x45CD358F, +0x96029EB6,0x47C3C22F,0x9759617F,0x49B41533,0x98B93828,0x4B9E0390,0x9A22042D, +0x4D8162C4,0x9B93A641,0x4F5E08E3,0x9D0DFE54,0x5133CC94,0x9E90EB94,0x53028518, +0xA01C4C73,0x54CA0A4B,0xA1AFFEA3,0x568A34A9,0xA34BDF20,0x5842DD54,0xA4EFCA31, +0x59F3DE12,0xA69B9B68,0x5B9D1154,0xA84F2DAA,0x5D3E5237,0xAA0A5B2E,0x5ED77C8A, +0xABCCFD83,0x60686CCF,0xAD96ED92,0x61F1003F,0xAF6803A2,0x637114CC,0xB140175B, +0x64E88926,0xB31EFFCC,0x66573CBB,0xB5049368,0x67BD0FBD,0xB6F0A812,0x6919E320, +0xB8E31319,0x6A6D98A4,0xBADBA943,0x6BB812D1,0xBCDA3ECB,0x6CF934FC,0xBEDEA765, +0x6E30E34A,0xC0E8B648,0x6F5F02B2,0xC2F83E2A,0x708378FF,0xC50D1149,0x719E2CD2, +0xC727016D,0x72AF05A7,0xC945DFEC,0x73B5EBD1,0xCB697DB0,0x74B2C884,0xCD91AB39, +0x75A585CF,0xCFBE389F,0x768E0EA6,0xD1EEF59E,0x776C4EDB,0xD423B191,0x78403329, +0xD65C3B7B,0x7909A92D,0xD898620C,0x79C89F6E,0xDAD7F3A2,0x7A7D055B,0xDD1ABE51, +0x7B26CB4F,0xDF608FE4,0x7BC5E290,0xE1A935E2,0x7C5A3D50,0xE3F47D96,0x7CE3CEB2, +0xE642340D,0x7D628AC6,0xE8922622,0x7DD6668F,0xEAE4207A,0x7E3F57FF,0xED37EF91, +0x7E9D55FC,0xEF8D5FB8,0x7EF05860,0xF1E43D1C,0x7F3857F6,0xF43C53CB,0x7F754E80, +0xF6956FB7,0x7FA736B4,0xF8EF5CBB,0x7FCE0C3E,0xFB49E6A3,0x7FE9CBC0,0xFDA4D929, +0x7FFA72D1,0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91, +0x7CE3CEB2,0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1, +0xC945DFEC,0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B, +0x5ED77C8A,0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533, +0x9759617F,0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3, +0x2826B928,0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E, +0x809DC971,0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C, +0xE70747C4,0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79, +0x8AFB2CBB,0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0, +0xAC64D510,0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0, +0xB3C0200C,0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79, +0x877B7BEC,0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C, +0xF054D8D5,0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E, +0x81E26C16,0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3, +0x30FBC54D,0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533, +0x9D0DFE54,0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B, +0x64E88926,0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1, +0xD1EEF59E,0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91, +0x7E9D55FC,0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2, +0x6A6D98A4,0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E, +0x809DC971,0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666, +0x8F1D343A,0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3, +0x30FBC54D,0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B, +0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3, +0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192) + +uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6]={ +0,2048,2560,2688,2720,0,}; + +q31_t rearranged_twiddle_stride1_4096_q31[2728]={ +0x7FFFFFFF,0x00000000,0x7FFFF621,0xFFCDBC0B,0x7FFFD886,0xFF9B781D,0x7FFFA72C, +0xFF69343F,0x7FFF6216,0xFF36F078,0x7FFF0943,0xFF04ACD0,0x7FFE9CB2,0xFED2694F, +0x7FFE1C65,0xFEA025FD,0x7FFD885A,0xFE6DE2E0,0x7FFCE093,0xFE3BA002,0x7FFC250F, +0xFE095D69,0x7FFB55CE,0xFDD71B1E,0x7FFA72D1,0xFDA4D929,0x7FF97C18,0xFD729790, +0x7FF871A2,0xFD40565C,0x7FF75370,0xFD0E1594,0x7FF62182,0xFCDBD541,0x7FF4DBD9, +0xFCA9956A,0x7FF38274,0xFC775616,0x7FF21553,0xFC45174E,0x7FF09478,0xFC12D91A, +0x7FEEFFE1,0xFBE09B80,0x7FED5791,0xFBAE5E89,0x7FEB9B85,0xFB7C223D,0x7FE9CBC0, +0xFB49E6A3,0x7FE7E841,0xFB17ABC2,0x7FE5F108,0xFAE571A4,0x7FE3E616,0xFAB3384F, +0x7FE1C76B,0xFA80FFCB,0x7FDF9508,0xFA4EC821,0x7FDD4EEC,0xFA1C9157,0x7FDAF519, +0xF9EA5B75,0x7FD8878E,0xF9B82684,0x7FD6064C,0xF985F28A,0x7FD37153,0xF953BF91, +0x7FD0C8A3,0xF9218D9E,0x7FCE0C3E,0xF8EF5CBB,0x7FCB3C23,0xF8BD2CEF,0x7FC85854, +0xF88AFE42,0x7FC560CF,0xF858D0BB,0x7FC25596,0xF826A462,0x7FBF36AA,0xF7F4793E, +0x7FBC040A,0xF7C24F59,0x7FB8BDB8,0xF79026B9,0x7FB563B3,0xF75DFF66,0x7FB1F5FC, +0xF72BD967,0x7FAE7495,0xF6F9B4C6,0x7FAADF7C,0xF6C79188,0x7FA736B4,0xF6956FB7, +0x7FA37A3C,0xF6634F59,0x7F9FAA15,0xF6313077,0x7F9BC640,0xF5FF1318,0x7F97CEBD, +0xF5CCF743,0x7F93C38C,0xF59ADD02,0x7F8FA4B0,0xF568C45B,0x7F8B7227,0xF536AD56, +0x7F872BF3,0xF50497FB,0x7F82D214,0xF4D28451,0x7F7E648C,0xF4A07261,0x7F79E35A, +0xF46E6231,0x7F754E80,0xF43C53CB,0x7F70A5FE,0xF40A4735,0x7F6BE9D4,0xF3D83C77, +0x7F671A05,0xF3A63398,0x7F62368F,0xF3742CA2,0x7F5D3F75,0xF342279B,0x7F5834B7, +0xF310248A,0x7F531655,0xF2DE2379,0x7F4DE451,0xF2AC246E,0x7F489EAA,0xF27A2771, +0x7F434563,0xF2482C8A,0x7F3DD87C,0xF21633C0,0x7F3857F6,0xF1E43D1C,0x7F32C3D1, +0xF1B248A5,0x7F2D1C0E,0xF1805662,0x7F2760AF,0xF14E665C,0x7F2191B4,0xF11C789A, +0x7F1BAF1E,0xF0EA8D24,0x7F15B8EE,0xF0B8A401,0x7F0FAF25,0xF086BD39,0x7F0991C4, +0xF054D8D5,0x7F0360CB,0xF022F6DA,0x7EFD1C3C,0xEFF11753,0x7EF6C418,0xEFBF3A45, +0x7EF05860,0xEF8D5FB8,0x7EE9D914,0xEF5B87B5,0x7EE34636,0xEF29B243,0x7EDC9FC6, +0xEEF7DF6A,0x7ED5E5C6,0xEEC60F31,0x7ECF1837,0xEE9441A0,0x7EC8371A,0xEE6276BF, +0x7EC14270,0xEE30AE96,0x7EBA3A39,0xEDFEE92B,0x7EB31E78,0xEDCD2687,0x7EABEF2C, +0xED9B66B2,0x7EA4AC58,0xED69A9B3,0x7E9D55FC,0xED37EF91,0x7E95EC1A,0xED063856, +0x7E8E6EB2,0xECD48407,0x7E86DDC6,0xECA2D2AD,0x7E7F3957,0xEC71244F,0x7E778166, +0xEC3F78F6,0x7E6FB5F4,0xEC0DD0A8,0x7E67D703,0xEBDC2B6E,0x7E5FE493,0xEBAA894F, +0x7E57DEA7,0xEB78EA52,0x7E4FC53E,0xEB474E81,0x7E47985B,0xEB15B5E1,0x7E3F57FF, +0xEAE4207A,0x7E37042A,0xEAB28E56,0x7E2E9CDF,0xEA80FF7A,0x7E26221F,0xEA4F73EE, +0x7E1D93EA,0xEA1DEBBB,0x7E14F242,0xE9EC66E8,0x7E0C3D29,0xE9BAE57D,0x7E0374A0, +0xE9896781,0x7DFA98A8,0xE957ECFB,0x7DF1A942,0xE92675F4,0x7DE8A670,0xE8F50273, +0x7DDF9034,0xE8C39280,0x7DD6668F,0xE8922622,0x7DCD2981,0xE860BD61,0x7DC3D90D, +0xE82F5844,0x7DBA7534,0xE7FDF6D4,0x7DB0FDF8,0xE7CC9917,0x7DA77359,0xE79B3F16, +0x7D9DD55A,0xE769E8D8,0x7D9423FC,0xE7389665,0x7D8A5F40,0xE70747C4,0x7D808728, +0xE6D5FCFC,0x7D769BB5,0xE6A4B616,0x7D6C9CE9,0xE6737319,0x7D628AC6,0xE642340D, +0x7D58654D,0xE610F8F9,0x7D4E2C7F,0xE5DFC1E5,0x7D43E05E,0xE5AE8ED8,0x7D3980EC, +0xE57D5FDA,0x7D2F0E2B,0xE54C34F3,0x7D24881B,0xE51B0E2A,0x7D19EEBF,0xE4E9EB87, +0x7D0F4218,0xE4B8CD11,0x7D048228,0xE487B2D0,0x7CF9AEF0,0xE4569CCB,0x7CEEC873, +0xE4258B0A,0x7CE3CEB2,0xE3F47D96,0x7CD8C1AE,0xE3C37474,0x7CCDA169,0xE3926FAD, +0x7CC26DE5,0xE3616F48,0x7CB72724,0xE330734D,0x7CABCD28,0xE2FF7BC3,0x7CA05FF1, +0xE2CE88B3,0x7C94DF83,0xE29D9A23,0x7C894BDE,0xE26CB01B,0x7C7DA505,0xE23BCAA2, +0x7C71EAF9,0xE20AE9C1,0x7C661DBC,0xE1DA0D7E,0x7C5A3D50,0xE1A935E2,0x7C4E49B7, +0xE17862F3,0x7C4242F2,0xE14794BA,0x7C362904,0xE116CB3D,0x7C29FBEE,0xE0E60685, +0x7C1DBBB3,0xE0B54698,0x7C116853,0xE0848B7F,0x7C0501D2,0xE053D541,0x7BF88830, +0xE02323E5,0x7BEBFB70,0xDFF27773,0x7BDF5B94,0xDFC1CFF3,0x7BD2A89E,0xDF912D6B, +0x7BC5E290,0xDF608FE4,0x7BB9096B,0xDF2FF764,0x7BAC1D31,0xDEFF63F4,0x7B9F1DE6, +0xDECED59B,0x7B920B89,0xDE9E4C60,0x7B84E61F,0xDE6DC84B,0x7B77ADA8,0xDE3D4964, +0x7B6A6227,0xDE0CCFB1,0x7B5D039E,0xDDDC5B3B,0x7B4F920E,0xDDABEC08,0x7B420D7A, +0xDD7B8220,0x7B3475E5,0xDD4B1D8C,0x7B26CB4F,0xDD1ABE51,0x7B190DBC,0xDCEA6478, +0x7B0B3D2C,0xDCBA1008,0x7AFD59A4,0xDC89C109,0x7AEF6323,0xDC597781,0x7AE159AE, +0xDC293379,0x7AD33D45,0xDBF8F4F8,0x7AC50DEC,0xDBC8BC06,0x7AB6CBA4,0xDB9888A8, +0x7AA8766F,0xDB685AE9,0x7A9A0E50,0xDB3832CD,0x7A8B9348,0xDB08105E,0x7A7D055B, +0xDAD7F3A2,0x7A6E648A,0xDAA7DCA1,0x7A5FB0D8,0xDA77CB63,0x7A50EA47,0xDA47BFEE, +0x7A4210D8,0xDA17BA4A,0x7A332490,0xD9E7BA7F,0x7A24256F,0xD9B7C094,0x7A151378, +0xD987CC90,0x7A05EEAD,0xD957DE7A,0x79F6B711,0xD927F65B,0x79E76CA7,0xD8F81439, +0x79D80F6F,0xD8C8381D,0x79C89F6E,0xD898620C,0x79B91CA4,0xD868920F,0x79A98715, +0xD838C82D,0x7999DEC4,0xD809046E,0x798A23B1,0xD7D946D8,0x797A55E0,0xD7A98F73, +0x796A7554,0xD779DE47,0x795A820E,0xD74A335B,0x794A7C12,0xD71A8EB5,0x793A6361, +0xD6EAF05F,0x792A37FE,0xD6BB585E,0x7919F9EC,0xD68BC6BA,0x7909A92D,0xD65C3B7B, +0x78F945C3,0xD62CB6A8,0x78E8CFB2,0xD5FD3848,0x78D846FB,0xD5CDC062,0x78C7ABA2, +0xD59E4EFF,0x78B6FDA8,0xD56EE424,0x78A63D11,0xD53F7FDA,0x789569DF,0xD5102228, +0x78848414,0xD4E0CB15,0x78738BB3,0xD4B17AA8,0x786280BF,0xD48230E9,0x7851633B, +0xD452EDDF,0x78403329,0xD423B191,0x782EF08B,0xD3F47C06,0x781D9B65,0xD3C54D47, +0x780C33B8,0xD396255A,0x77FAB989,0xD3670446,0x77E92CD9,0xD337EA12,0x77D78DAA, +0xD308D6C7,0x77C5DC01,0xD2D9CA6A,0x77B417DF,0xD2AAC504,0x77A24148,0xD27BC69C, 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+0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE,0xE0E60685,0x7B5D039E, +0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8,0x78848414,0xD4E0CB15, +0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345,0xCC210D79,0x73B5EBD1, +0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590,0x6F5F02B2,0xC0E8B648, +0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4,0xB8E31319,0x68A69E81, +0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B,0x62F201AC,0xAECC336C, +0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0,0xA7BD22AC,0x5A82799A, +0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376,0x539B2AF0,0x9F13C7D0, +0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4,0x99307EE0,0x49B41533, +0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0,0x41CE1E65,0x9235F2EC, +0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32,0x8DAAD37B,0x36BA2014, +0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3,0x2E110A62,0x8893B125, +0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E,0x8582FAA5,0x2223A4C5, +0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E,0x18F8B83C,0x8275A0C0, +0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B,0x80F66E3C,0x0C8BD35E, +0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872,0x03242ABF,0x8009DE7E, +0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B, +0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319, +0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7, +0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5, +0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D, +0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_4096_q31[2728]={ +0x7FFFFFFF,0x00000000,0x7FFFD886,0xFF9B781D,0x7FFF6216,0xFF36F078,0x7FFE9CB2, +0xFED2694F,0x7FFD885A,0xFE6DE2E0,0x7FFC250F,0xFE095D69,0x7FFA72D1,0xFDA4D929, +0x7FF871A2,0xFD40565C,0x7FF62182,0xFCDBD541,0x7FF38274,0xFC775616,0x7FF09478, +0xFC12D91A,0x7FED5791,0xFBAE5E89,0x7FE9CBC0,0xFB49E6A3,0x7FE5F108,0xFAE571A4, +0x7FE1C76B,0xFA80FFCB,0x7FDD4EEC,0xFA1C9157,0x7FD8878E,0xF9B82684,0x7FD37153, +0xF953BF91,0x7FCE0C3E,0xF8EF5CBB,0x7FC85854,0xF88AFE42,0x7FC25596,0xF826A462, +0x7FBC040A,0xF7C24F59,0x7FB563B3,0xF75DFF66,0x7FAE7495,0xF6F9B4C6,0x7FA736B4, +0xF6956FB7,0x7F9FAA15,0xF6313077,0x7F97CEBD,0xF5CCF743,0x7F8FA4B0,0xF568C45B, +0x7F872BF3,0xF50497FB,0x7F7E648C,0xF4A07261,0x7F754E80,0xF43C53CB,0x7F6BE9D4, +0xF3D83C77,0x7F62368F,0xF3742CA2,0x7F5834B7,0xF310248A,0x7F4DE451,0xF2AC246E, +0x7F434563,0xF2482C8A,0x7F3857F6,0xF1E43D1C,0x7F2D1C0E,0xF1805662,0x7F2191B4, +0xF11C789A,0x7F15B8EE,0xF0B8A401,0x7F0991C4,0xF054D8D5,0x7EFD1C3C,0xEFF11753, +0x7EF05860,0xEF8D5FB8,0x7EE34636,0xEF29B243,0x7ED5E5C6,0xEEC60F31,0x7EC8371A, +0xEE6276BF,0x7EBA3A39,0xEDFEE92B,0x7EABEF2C,0xED9B66B2,0x7E9D55FC,0xED37EF91, +0x7E8E6EB2,0xECD48407,0x7E7F3957,0xEC71244F,0x7E6FB5F4,0xEC0DD0A8,0x7E5FE493, +0xEBAA894F,0x7E4FC53E,0xEB474E81,0x7E3F57FF,0xEAE4207A,0x7E2E9CDF,0xEA80FF7A, +0x7E1D93EA,0xEA1DEBBB,0x7E0C3D29,0xE9BAE57D,0x7DFA98A8,0xE957ECFB,0x7DE8A670, +0xE8F50273,0x7DD6668F,0xE8922622,0x7DC3D90D,0xE82F5844,0x7DB0FDF8,0xE7CC9917, +0x7D9DD55A,0xE769E8D8,0x7D8A5F40,0xE70747C4,0x7D769BB5,0xE6A4B616,0x7D628AC6, +0xE642340D,0x7D4E2C7F,0xE5DFC1E5,0x7D3980EC,0xE57D5FDA,0x7D24881B,0xE51B0E2A, +0x7D0F4218,0xE4B8CD11,0x7CF9AEF0,0xE4569CCB,0x7CE3CEB2,0xE3F47D96,0x7CCDA169, +0xE3926FAD,0x7CB72724,0xE330734D,0x7CA05FF1,0xE2CE88B3,0x7C894BDE,0xE26CB01B, +0x7C71EAF9,0xE20AE9C1,0x7C5A3D50,0xE1A935E2,0x7C4242F2,0xE14794BA,0x7C29FBEE, +0xE0E60685,0x7C116853,0xE0848B7F,0x7BF88830,0xE02323E5,0x7BDF5B94,0xDFC1CFF3, +0x7BC5E290,0xDF608FE4,0x7BAC1D31,0xDEFF63F4,0x7B920B89,0xDE9E4C60,0x7B77ADA8, +0xDE3D4964,0x7B5D039E,0xDDDC5B3B,0x7B420D7A,0xDD7B8220,0x7B26CB4F,0xDD1ABE51, +0x7B0B3D2C,0xDCBA1008,0x7AEF6323,0xDC597781,0x7AD33D45,0xDBF8F4F8,0x7AB6CBA4, +0xDB9888A8,0x7A9A0E50,0xDB3832CD,0x7A7D055B,0xDAD7F3A2,0x7A5FB0D8,0xDA77CB63, +0x7A4210D8,0xDA17BA4A,0x7A24256F,0xD9B7C094,0x7A05EEAD,0xD957DE7A,0x79E76CA7, +0xD8F81439,0x79C89F6E,0xD898620C,0x79A98715,0xD838C82D,0x798A23B1,0xD7D946D8, +0x796A7554,0xD779DE47,0x794A7C12,0xD71A8EB5,0x792A37FE,0xD6BB585E,0x7909A92D, +0xD65C3B7B,0x78E8CFB2,0xD5FD3848,0x78C7ABA2,0xD59E4EFF,0x78A63D11,0xD53F7FDA, +0x78848414,0xD4E0CB15,0x786280BF,0xD48230E9,0x78403329,0xD423B191,0x781D9B65, +0xD3C54D47,0x77FAB989,0xD3670446,0x77D78DAA,0xD308D6C7,0x77B417DF,0xD2AAC504, +0x7790583E,0xD24CCF39,0x776C4EDB,0xD1EEF59E,0x7747FBCE,0xD191386E,0x77235F2D, +0xD13397E2,0x76FE790E,0xD0D61434,0x76D94989,0xD078AD9E,0x76B3D0B4,0xD01B6459, +0x768E0EA6,0xCFBE389F,0x76680376,0xCF612AAA,0x7641AF3D,0xCF043AB3,0x761B1211, +0xCEA768F2,0x75F42C0B,0xCE4AB5A2,0x75CCFD42,0xCDEE20FC,0x75A585CF,0xCD91AB39, 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+0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79,0x745F9DD1,0xCAB26FA9,0x73B5EBD1, +0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85,0xC67322CE,0x719E2CD2,0xC50D1149, +0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A,0x6F5F02B2,0xC0E8B648,0x6E96A99D, +0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC,0xBCDA3ECB,0x6C242960,0xBB8532B0, +0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319,0x698C246C,0xB796199B,0x68A69E81, +0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120,0xB3C0200C,0x65DDFBD3,0xB27E9D3C, +0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3,0x62F201AC,0xAECC336C,0x61F1003F, +0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D,0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E, +0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC,0x5B9D1154,0xA69B9B68,0x5A82799A, +0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54,0xA34BDF20,0x571DEEFA,0xA2386284, +0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73,0x539B2AF0,0x9F13C7D0,0x5269126E, +0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D,0x9C10CD70,0x4EBFE8A5,0x9B1776DA, +0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0,0x4AFB6C98,0x9842F043,0x49B41533, +0x9759617F,0x4869E665,0x9673DB94,0x471CECE7,0x9592675C,0x45CD358F,0x94B50D87, +0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04,0x41CE1E65,0x9235F2EC,0x4073F21D, +0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6,0x8FDCEF66,0x3C56BA70,0x8F1D343A, +0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B,0x382493B0,0x8CF83C30,0x36BA2014, +0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287,0x8AFB2CBB,0x326E54C7,0x8A5A7A31, +0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677,0x2E110A62,0x8893B125,0x2C98FBBA, +0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485,0x86F656D3,0x2826B928,0x8675DC4F, +0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5,0x23A6887F,0x85109CDD,0x2223A4C5, +0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B,0x83D60412,0x1D934FE5,0x8376B422, +0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14,0x18F8B83C,0x8275A0C0,0x176DD9DE, +0x82299971,0x15E21445,0x81E26C16,0x145576B1,0x81A01B6D,0x12C8106F,0x8162AA04, +0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C,0x0E1BC2E4,0x80C7A80A,0x0C8BD35E, +0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049,0x8058C94C,0x07D95B9E,0x803DAA6A, +0x0647D97C,0x80277872,0x04B6195D,0x80163440,0x03242ABF,0x8009DE7E,0x01921D20, +0x800277A6,0x00000000,0x80000000,0xFE6DE2E0,0x800277A6,0xFCDBD541,0x8009DE7E, +0xFB49E6A3,0x80163440,0xF9B82684,0x80277872,0xF826A462,0x803DAA6A,0xF6956FB7, +0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2,0x809DC971,0xF1E43D1C,0x80C7A80A, +0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A,0xED37EF91,0x8162AA04,0xEBAA894F, +0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622,0x82299971,0xE70747C4,0x8275A0C0, +0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E,0xE26CB01B,0x8376B422,0xE0E60685, +0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B,0x84A2FC62,0xDC597781,0x85109CDD, +0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153,0xD7D946D8,0x8675DC4F,0xD65C3B7B, +0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446,0x88054677,0xD1EEF59E,0x8893B125, +0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3,0xCD91AB39,0x8A5A7A31,0xCC210D79, +0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC,0x8C4A142F,0xC7DB6C50,0x8CF83C30, +0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E,0xC3A94590,0x8F1D343A,0xC247CD5A, +0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3,0x91695663,0xBE31E19B,0x9235F2EC, +0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0,0xBA32CA71,0x94B50D87,0xB8E31319, +0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD,0x9759617F,0xB5049368,0x9842F043, +0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D,0xB140175B,0x9B1776DA,0xB0049AB3, +0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92,0x9E0EFFC1,0xAC64D510,0x9F13C7D0, +0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376,0xA8E21106,0xA2386284,0xA7BD22AC, +0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666,0xA57D8666,0xA462EEAC,0xA69B9B68, +0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106,0xA1288376,0xAA0A5B2E,0xA01C4C73, +0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1,0xAD96ED92,0x9D0DFE54,0xAECC336C, +0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B,0x9A22042D,0xB27E9D3C,0x99307EE0, +0xB3C0200C,0x9842F043,0xB5049368,0x9759617F,0xB64BEACD,0x9673DB94,0xB796199B, +0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71,0x93DBD6A0,0xBB8532B0,0x9306CB04, +0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663,0xBF8C0DE3,0x90A0FD4E,0xC0E8B648, +0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590,0x8E61D32E,0xC50D1149,0x8DAAD37B, +0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F,0xC945DFEC,0x8BA0622F,0xCAB26FA9, +0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39,0x89BE50C3,0xCF043AB3,0x8926B677, +0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677,0xD3670446,0x877B7BEC,0xD4E0CB15, +0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8,0x85FA1153,0xD957DE7A,0x8582FAA5, +0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62,0xDDDC5B3B,0x843A1D70,0xDF608FE4, +0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B,0x831C314E,0xE3F47D96,0x82C67F14, +0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971,0xE8922622,0x81E26C16,0xEA1DEBBB, +0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91,0x812A1A3A,0xEEC60F31,0x80F66E3C, +0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971,0xF3742CA2,0x8078D40D,0xF50497FB, +0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462,0x80277872,0xF9B82684,0x80163440, +0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6,0xFE6DE2E0,0x7FFFFFFF,0x00000000, +0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC,0xED37EF91,0x7D8A5F40, +0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2,0x78848414,0xD4E0CB15, +0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6,0xC3A94590,0x6DCA0D14, +0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C,0x62F201AC,0xAECC336C, +0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2,0xA1288376,0x5133CC94, +0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C,0x41CE1E65,0x9235F2EC, +0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D,0x89BE50C3,0x2B1F34EB, +0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412,0x18F8B83C,0x8275A0C0, +0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C,0x80277872,0x00000000, +0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971,0xED37EF91,0x8162AA04, +0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2,0x8582FAA5,0xD4E0CB15, +0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F,0xC3A94590,0x8F1D343A, +0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C,0x99307EE0,0xAECC336C, +0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666,0xA1288376,0xAA0A5B2E, +0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C,0xB8E31319,0x9235F2EC, +0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC,0x89BE50C3,0xCF043AB3, +0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412,0xE0E60685,0x8275A0C0, +0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2,0x80277872,0xF9B82684, +0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4, +0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3, +0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3, +0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319, +0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A, +0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_4096_q31[2728]={ +0x7FFFFFFF,0x00000000,0x7FFFA72C,0xFF69343F,0x7FFE9CB2,0xFED2694F,0x7FFCE093, +0xFE3BA002,0x7FFA72D1,0xFDA4D929,0x7FF75370,0xFD0E1594,0x7FF38274,0xFC775616, +0x7FEEFFE1,0xFBE09B80,0x7FE9CBC0,0xFB49E6A3,0x7FE3E616,0xFAB3384F,0x7FDD4EEC, +0xFA1C9157,0x7FD6064C,0xF985F28A,0x7FCE0C3E,0xF8EF5CBB,0x7FC560CF,0xF858D0BB, +0x7FBC040A,0xF7C24F59,0x7FB1F5FC,0xF72BD967,0x7FA736B4,0xF6956FB7,0x7F9BC640, +0xF5FF1318,0x7F8FA4B0,0xF568C45B,0x7F82D214,0xF4D28451,0x7F754E80,0xF43C53CB, +0x7F671A05,0xF3A63398,0x7F5834B7,0xF310248A,0x7F489EAA,0xF27A2771,0x7F3857F6, +0xF1E43D1C,0x7F2760AF,0xF14E665C,0x7F15B8EE,0xF0B8A401,0x7F0360CB,0xF022F6DA, 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+0xB5049368,0x67BD0FBD,0xB6F0A812,0x6919E320,0xB8E31319,0x6A6D98A4,0xBADBA943, +0x6BB812D1,0xBCDA3ECB,0x6CF934FC,0xBEDEA765,0x6E30E34A,0xC0E8B648,0x6F5F02B2, +0xC2F83E2A,0x708378FF,0xC50D1149,0x719E2CD2,0xC727016D,0x72AF05A7,0xC945DFEC, +0x73B5EBD1,0xCB697DB0,0x74B2C884,0xCD91AB39,0x75A585CF,0xCFBE389F,0x768E0EA6, +0xD1EEF59E,0x776C4EDB,0xD423B191,0x78403329,0xD65C3B7B,0x7909A92D,0xD898620C, +0x79C89F6E,0xDAD7F3A2,0x7A7D055B,0xDD1ABE51,0x7B26CB4F,0xDF608FE4,0x7BC5E290, +0xE1A935E2,0x7C5A3D50,0xE3F47D96,0x7CE3CEB2,0xE642340D,0x7D628AC6,0xE8922622, +0x7DD6668F,0xEAE4207A,0x7E3F57FF,0xED37EF91,0x7E9D55FC,0xEF8D5FB8,0x7EF05860, +0xF1E43D1C,0x7F3857F6,0xF43C53CB,0x7F754E80,0xF6956FB7,0x7FA736B4,0xF8EF5CBB, +0x7FCE0C3E,0xFB49E6A3,0x7FE9CBC0,0xFDA4D929,0x7FFA72D1,0x7FFFFFFF,0x00000000, +0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,0x7CE3CEB2,0xE3F47D96,0x7A7D055B, +0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,0xC945DFEC,0x6F5F02B2,0xC0E8B648, +0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,0x5ED77C8A,0xAA0A5B2E,0x5842DD54, +0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,0x9759617F,0x41CE1E65,0x9235F2EC, +0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,0x2826B928,0x8675DC4F,0x1F19F97B, +0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,0x809DC971,0x03242ABF,0x8009DE7E, +0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,0xE70747C4,0x8275A0C0,0xDDDC5B3B, +0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,0x8AFB2CBB,0xC3A94590,0x8F1D343A, +0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,0xAC64D510,0x9F13C7D0,0xA57D8666, +0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,0xB3C0200C,0x93DBD6A0,0xBB8532B0, +0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,0x877B7BEC,0xD4E0CB15,0x84A2FC62, +0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,0xF054D8D5,0x80277872,0xF9B82684, +0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,0x81E26C16,0x15E21445,0x83D60412, +0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,0x30FBC54D,0x8DAAD37B,0x398CDD32, +0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,0x9D0DFE54,0x5133CC94,0xA34BDF20, +0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,0x64E88926,0xB8E31319,0x6A6D98A4, +0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,0xD1EEF59E,0x776C4EDB,0xDAD7F3A2, +0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,0x7E9D55FC,0xF6956FB7,0x7FA736B4, +0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,0xB8E31319,0x5133CC94, +0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,0xE70747C4,0x8275A0C0, +0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,0xC3A94590,0x8275A0C0, +0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94, +0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D, +0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; + +#endif + + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ +#endif /* defined(ARM_MATH_MVEI) */ + + + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + +uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2]={ +0,0,}; + +q15_t rearranged_twiddle_stride1_16_q15[8]={ +0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_16_q15[8]={ +0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_16_q15[8]={ +0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + +uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3]={ +0,32,0,}; + +q15_t rearranged_twiddle_stride1_64_q15[40]={ +0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3, +0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592, +0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF, +0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_64_q15[40]={ +0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D, +0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE, +0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF, +0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_64_q15[40]={ +0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C, +0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707, +0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF, +0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + +uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4]={ +0,128,160,0,}; + +q15_t rearranged_twiddle_stride1_256_q15[168]={ +0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9,0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A, +0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E,0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6, +0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A,0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642, +0xCF04,0x7505,0xCC21,0x73B6,0xC946,0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9, +0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E,0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9, +0xB140,0x62F2,0xAECC,0x60EC,0xAC65,0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E, +0x5843,0xA34C,0x55F6,0xA129,0x539B,0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40, +0x9930,0x49B4,0x9759,0x471D,0x9592,0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1, +0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA,0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11, +0x8894,0x2B1F,0x877B,0x2827,0x8676,0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6, +0x1C0C,0x831C,0x18F9,0x8276,0x15E2,0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C, +0x809E,0x096B,0x8059,0x0648,0x8027,0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374, +0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2, +0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE, +0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82, +0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_256_q15[168]={ +0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62,0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A, +0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1,0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9, +0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0,0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82, +0xA57E,0x55F6,0xA129,0x5134,0x9D0E,0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236, +0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC,0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A, +0x83D6,0x18F9,0x8276,0x12C8,0x8163,0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000, +0xF9B8,0x8027,0xF374,0x809E,0xED38,0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8, +0x8583,0xD4E1,0x877B,0xCF04,0x89BE,0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236, +0xB8E3,0x9592,0xB3C0,0x9930,0xAECC,0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129, +0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0,0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9, +0x8C4A,0xC946,0x89BE,0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276, +0xE707,0x8163,0xED38,0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707, +0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9, +0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E, +0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000, +0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_256_q15[168]={ +0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D,0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C, +0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A, +0x5843,0xA34C,0x5134,0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC, +0x89BE,0x2827,0x8676,0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A, +0xF9B8,0x8027,0xF055,0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21, +0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E, +0x9F14,0xAC65,0x9930,0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B, +0xD4E1,0x84A3,0xDDDC,0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324, +0x809E,0x0C8C,0x81E2,0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB, +0x398D,0x9236,0x41CE,0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7, +0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8, +0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8, +0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9, +0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC, +0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E, +0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + +uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5]={ +0,512,640,672,0,}; + +q15_t rearranged_twiddle_stride1_1024_q15[680]={ +0x7FFF,0x0000,0x7FFF,0xFF37,0x7FFE,0xFE6E,0x7FFA,0xFDA5,0x7FF6,0xFCDC,0x7FF1, +0xFC13,0x7FEA,0xFB4A,0x7FE2,0xFA81,0x7FD9,0xF9B8,0x7FCE,0xF8EF,0x7FC2,0xF827, +0x7FB5,0xF75E,0x7FA7,0xF695,0x7F98,0xF5CD,0x7F87,0xF505,0x7F75,0xF43C,0x7F62, +0xF374,0x7F4E,0xF2AC,0x7F38,0xF1E4,0x7F22,0xF11C,0x7F0A,0xF055,0x7EF0,0xEF8D, +0x7ED6,0xEEC6,0x7EBA,0xEDFF,0x7E9D,0xED38,0x7E7F,0xEC71,0x7E60,0xEBAB,0x7E3F, +0xEAE4,0x7E1E,0xEA1E,0x7DFB,0xE958,0x7DD6,0xE892,0x7DB1,0xE7CD,0x7D8A,0xE707, +0x7D63,0xE642,0x7D3A,0xE57D,0x7D0F,0xE4B9,0x7CE4,0xE3F4,0x7CB7,0xE330,0x7C89, +0xE26D,0x7C5A,0xE1A9,0x7C2A,0xE0E6,0x7BF9,0xE023,0x7BC6,0xDF61,0x7B92,0xDE9E, +0x7B5D,0xDDDC,0x7B27,0xDD1B,0x7AEF,0xDC59,0x7AB7,0xDB99,0x7A7D,0xDAD8,0x7A42, +0xDA18,0x7A06,0xD958,0x79C9,0xD898,0x798A,0xD7D9,0x794A,0xD71B,0x790A,0xD65C, +0x78C8,0xD59E,0x7885,0xD4E1,0x7840,0xD424,0x77FB,0xD367,0x77B4,0xD2AB,0x776C, +0xD1EF,0x7723,0xD134,0x76D9,0xD079,0x768E,0xCFBE,0x7642,0xCF04,0x75F4,0xCE4B, +0x75A6,0xCD92,0x7556,0xCCD9,0x7505,0xCC21,0x74B3,0xCB69,0x7460,0xCAB2,0x740B, +0xC9FC,0x73B6,0xC946,0x735F,0xC890,0x7308,0xC7DB,0x72AF,0xC727,0x7255,0xC673, +0x71FA,0xC5C0,0x719E,0xC50D,0x7141,0xC45B,0x70E3,0xC3A9,0x7083,0xC2F8,0x7023, +0xC248,0x6FC2,0xC198,0x6F5F,0xC0E9,0x6EFB,0xC03A,0x6E97,0xBF8C,0x6E31,0xBEDF, +0x6DCA,0xBE32,0x6D62,0xBD86,0x6CF9,0xBCDA,0x6C8F,0xBC2F,0x6C24,0xBB85,0x6BB8, +0xBADC,0x6B4B,0xBA33,0x6ADD,0xB98B,0x6A6E,0xB8E3,0x69FD,0xB83C,0x698C,0xB796, +0x691A,0xB6F1,0x68A7,0xB64C,0x6832,0xB5A8,0x67BD,0xB505,0x6747,0xB462,0x66D0, +0xB3C0,0x6657,0xB31F,0x65DE,0xB27F,0x6564,0xB1DF,0x64E9,0xB140,0x646C,0xB0A2, +0x63EF,0xB005,0x6371,0xAF68,0x62F2,0xAECC,0x6272,0xAE31,0x61F1,0xAD97,0x616F, +0xACFD,0x60EC,0xAC65,0x6068,0xABCD,0x5FE4,0xAB36,0x5F5E,0xAAA0,0x5ED7,0xAA0A, +0x5E50,0xA976,0x5DC8,0xA8E2,0x5D3E,0xA84F,0x5CB4,0xA7BD,0x5C29,0xA72C,0x5B9D, +0xA69C,0x5B10,0xA60C,0x5A82,0xA57E,0x59F4,0xA4F0,0x5964,0xA463,0x58D4,0xA3D7, +0x5843,0xA34C,0x57B1,0xA2C2,0x571E,0xA238,0x568A,0xA1B0,0x55F6,0xA129,0x5560, +0xA0A2,0x54CA,0xA01C,0x5433,0x9F98,0x539B,0x9F14,0x5303,0x9E91,0x5269,0x9E0F, +0x51CF,0x9D8E,0x5134,0x9D0E,0x5098,0x9C8F,0x4FFB,0x9C11,0x4F5E,0x9B94,0x4EC0, +0x9B17,0x4E21,0x9A9C,0x4D81,0x9A22,0x4CE1,0x99A9,0x4C40,0x9930,0x4B9E,0x98B9, +0x4AFB,0x9843,0x4A58,0x97CE,0x49B4,0x9759,0x490F,0x96E6,0x486A,0x9674,0x47C4, +0x9603,0x471D,0x9592,0x4675,0x9523,0x45CD,0x94B5,0x4524,0x9448,0x447B,0x93DC, +0x43D1,0x9371,0x4326,0x9307,0x427A,0x929E,0x41CE,0x9236,0x4121,0x91CF,0x4074, +0x9169,0x3FC6,0x9105,0x3F17,0x90A1,0x3E68,0x903E,0x3DB8,0x8FDD,0x3D08,0x8F7D, +0x3C57,0x8F1D,0x3BA5,0x8EBF,0x3AF3,0x8E62,0x3A40,0x8E06,0x398D,0x8DAB,0x38D9, +0x8D51,0x3825,0x8CF8,0x3770,0x8CA1,0x36BA,0x8C4A,0x3604,0x8BF5,0x354E,0x8BA0, +0x3497,0x8B4D,0x33DF,0x8AFB,0x3327,0x8AAA,0x326E,0x8A5A,0x31B5,0x8A0C,0x30FC, +0x89BE,0x3042,0x8972,0x2F87,0x8927,0x2ECC,0x88DD,0x2E11,0x8894,0x2D55,0x884C, +0x2C99,0x8805,0x2BDC,0x87C0,0x2B1F,0x877B,0x2A62,0x8738,0x29A4,0x86F6,0x28E5, +0x86B6,0x2827,0x8676,0x2768,0x8637,0x26A8,0x85FA,0x25E8,0x85BE,0x2528,0x8583, +0x2467,0x8549,0x23A7,0x8511,0x22E5,0x84D9,0x2224,0x84A3,0x2162,0x846E,0x209F, +0x843A,0x1FDD,0x8407,0x1F1A,0x83D6,0x1E57,0x83A6,0x1D93,0x8377,0x1CD0,0x8349, +0x1C0C,0x831C,0x1B47,0x82F1,0x1A83,0x82C6,0x19BE,0x829D,0x18F9,0x8276,0x1833, +0x824F,0x176E,0x822A,0x16A8,0x8205,0x15E2,0x81E2,0x151C,0x81C1,0x1455,0x81A0, +0x138F,0x8181,0x12C8,0x8163,0x1201,0x8146,0x113A,0x812A,0x1073,0x8110,0x0FAB, +0x80F6,0x0EE4,0x80DE,0x0E1C,0x80C8,0x0D54,0x80B2,0x0C8C,0x809E,0x0BC4,0x808B, +0x0AFB,0x8079,0x0A33,0x8068,0x096B,0x8059,0x08A2,0x804B,0x07D9,0x803E,0x0711, +0x8032,0x0648,0x8027,0x057F,0x801E,0x04B6,0x8016,0x03ED,0x800F,0x0324,0x800A, +0x025B,0x8006,0x0192,0x8002,0x00C9,0x8001,0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9, +0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A,0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E, +0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6,0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A, +0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642,0xCF04,0x7505,0xCC21,0x73B6,0xC946, +0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9,0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E, +0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9,0xB140,0x62F2,0xAECC,0x60EC,0xAC65, +0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E,0x5843,0xA34C,0x55F6,0xA129,0x539B, +0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40,0x9930,0x49B4,0x9759,0x471D,0x9592, +0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1,0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA, +0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11,0x8894,0x2B1F,0x877B,0x2827,0x8676, +0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6,0x1C0C,0x831C,0x18F9,0x8276,0x15E2, +0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C,0x809E,0x096B,0x8059,0x0648,0x8027, +0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642, +0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E, +0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C, +0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_1024_q15[680]={ +0x7FFF,0x0000,0x7FFE,0xFE6E,0x7FF6,0xFCDC,0x7FEA,0xFB4A,0x7FD9,0xF9B8,0x7FC2, +0xF827,0x7FA7,0xF695,0x7F87,0xF505,0x7F62,0xF374,0x7F38,0xF1E4,0x7F0A,0xF055, +0x7ED6,0xEEC6,0x7E9D,0xED38,0x7E60,0xEBAB,0x7E1E,0xEA1E,0x7DD6,0xE892,0x7D8A, +0xE707,0x7D3A,0xE57D,0x7CE4,0xE3F4,0x7C89,0xE26D,0x7C2A,0xE0E6,0x7BC6,0xDF61, +0x7B5D,0xDDDC,0x7AEF,0xDC59,0x7A7D,0xDAD8,0x7A06,0xD958,0x798A,0xD7D9,0x790A, +0xD65C,0x7885,0xD4E1,0x77FB,0xD367,0x776C,0xD1EF,0x76D9,0xD079,0x7642,0xCF04, +0x75A6,0xCD92,0x7505,0xCC21,0x7460,0xCAB2,0x73B6,0xC946,0x7308,0xC7DB,0x7255, +0xC673,0x719E,0xC50D,0x70E3,0xC3A9,0x7023,0xC248,0x6F5F,0xC0E9,0x6E97,0xBF8C, +0x6DCA,0xBE32,0x6CF9,0xBCDA,0x6C24,0xBB85,0x6B4B,0xBA33,0x6A6E,0xB8E3,0x698C, +0xB796,0x68A7,0xB64C,0x67BD,0xB505,0x66D0,0xB3C0,0x65DE,0xB27F,0x64E9,0xB140, +0x63EF,0xB005,0x62F2,0xAECC,0x61F1,0xAD97,0x60EC,0xAC65,0x5FE4,0xAB36,0x5ED7, +0xAA0A,0x5DC8,0xA8E2,0x5CB4,0xA7BD,0x5B9D,0xA69C,0x5A82,0xA57E,0x5964,0xA463, +0x5843,0xA34C,0x571E,0xA238,0x55F6,0xA129,0x54CA,0xA01C,0x539B,0x9F14,0x5269, +0x9E0F,0x5134,0x9D0E,0x4FFB,0x9C11,0x4EC0,0x9B17,0x4D81,0x9A22,0x4C40,0x9930, +0x4AFB,0x9843,0x49B4,0x9759,0x486A,0x9674,0x471D,0x9592,0x45CD,0x94B5,0x447B, +0x93DC,0x4326,0x9307,0x41CE,0x9236,0x4074,0x9169,0x3F17,0x90A1,0x3DB8,0x8FDD, +0x3C57,0x8F1D,0x3AF3,0x8E62,0x398D,0x8DAB,0x3825,0x8CF8,0x36BA,0x8C4A,0x354E, +0x8BA0,0x33DF,0x8AFB,0x326E,0x8A5A,0x30FC,0x89BE,0x2F87,0x8927,0x2E11,0x8894, +0x2C99,0x8805,0x2B1F,0x877B,0x29A4,0x86F6,0x2827,0x8676,0x26A8,0x85FA,0x2528, +0x8583,0x23A7,0x8511,0x2224,0x84A3,0x209F,0x843A,0x1F1A,0x83D6,0x1D93,0x8377, +0x1C0C,0x831C,0x1A83,0x82C6,0x18F9,0x8276,0x176E,0x822A,0x15E2,0x81E2,0x1455, +0x81A0,0x12C8,0x8163,0x113A,0x812A,0x0FAB,0x80F6,0x0E1C,0x80C8,0x0C8C,0x809E, +0x0AFB,0x8079,0x096B,0x8059,0x07D9,0x803E,0x0648,0x8027,0x04B6,0x8016,0x0324, +0x800A,0x0192,0x8002,0x0000,0x8000,0xFE6E,0x8002,0xFCDC,0x800A,0xFB4A,0x8016, +0xF9B8,0x8027,0xF827,0x803E,0xF695,0x8059,0xF505,0x8079,0xF374,0x809E,0xF1E4, +0x80C8,0xF055,0x80F6,0xEEC6,0x812A,0xED38,0x8163,0xEBAB,0x81A0,0xEA1E,0x81E2, +0xE892,0x822A,0xE707,0x8276,0xE57D,0x82C6,0xE3F4,0x831C,0xE26D,0x8377,0xE0E6, +0x83D6,0xDF61,0x843A,0xDDDC,0x84A3,0xDC59,0x8511,0xDAD8,0x8583,0xD958,0x85FA, +0xD7D9,0x8676,0xD65C,0x86F6,0xD4E1,0x877B,0xD367,0x8805,0xD1EF,0x8894,0xD079, +0x8927,0xCF04,0x89BE,0xCD92,0x8A5A,0xCC21,0x8AFB,0xCAB2,0x8BA0,0xC946,0x8C4A, +0xC7DB,0x8CF8,0xC673,0x8DAB,0xC50D,0x8E62,0xC3A9,0x8F1D,0xC248,0x8FDD,0xC0E9, +0x90A1,0xBF8C,0x9169,0xBE32,0x9236,0xBCDA,0x9307,0xBB85,0x93DC,0xBA33,0x94B5, +0xB8E3,0x9592,0xB796,0x9674,0xB64C,0x9759,0xB505,0x9843,0xB3C0,0x9930,0xB27F, +0x9A22,0xB140,0x9B17,0xB005,0x9C11,0xAECC,0x9D0E,0xAD97,0x9E0F,0xAC65,0x9F14, +0xAB36,0xA01C,0xAA0A,0xA129,0xA8E2,0xA238,0xA7BD,0xA34C,0xA69C,0xA463,0xA57E, +0xA57E,0xA463,0xA69C,0xA34C,0xA7BD,0xA238,0xA8E2,0xA129,0xAA0A,0xA01C,0xAB36, +0x9F14,0xAC65,0x9E0F,0xAD97,0x9D0E,0xAECC,0x9C11,0xB005,0x9B17,0xB140,0x9A22, +0xB27F,0x9930,0xB3C0,0x9843,0xB505,0x9759,0xB64C,0x9674,0xB796,0x9592,0xB8E3, +0x94B5,0xBA33,0x93DC,0xBB85,0x9307,0xBCDA,0x9236,0xBE32,0x9169,0xBF8C,0x90A1, +0xC0E9,0x8FDD,0xC248,0x8F1D,0xC3A9,0x8E62,0xC50D,0x8DAB,0xC673,0x8CF8,0xC7DB, +0x8C4A,0xC946,0x8BA0,0xCAB2,0x8AFB,0xCC21,0x8A5A,0xCD92,0x89BE,0xCF04,0x8927, +0xD079,0x8894,0xD1EF,0x8805,0xD367,0x877B,0xD4E1,0x86F6,0xD65C,0x8676,0xD7D9, +0x85FA,0xD958,0x8583,0xDAD8,0x8511,0xDC59,0x84A3,0xDDDC,0x843A,0xDF61,0x83D6, +0xE0E6,0x8377,0xE26D,0x831C,0xE3F4,0x82C6,0xE57D,0x8276,0xE707,0x822A,0xE892, +0x81E2,0xEA1E,0x81A0,0xEBAB,0x8163,0xED38,0x812A,0xEEC6,0x80F6,0xF055,0x80C8, +0xF1E4,0x809E,0xF374,0x8079,0xF505,0x8059,0xF695,0x803E,0xF827,0x8027,0xF9B8, +0x8016,0xFB4A,0x800A,0xFCDC,0x8002,0xFE6E,0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62, +0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A,0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1, +0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9,0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0, +0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82,0xA57E,0x55F6,0xA129,0x5134,0x9D0E, +0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236,0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC, +0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A,0x83D6,0x18F9,0x8276,0x12C8,0x8163, +0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000,0xF9B8,0x8027,0xF374,0x809E,0xED38, +0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8,0x8583,0xD4E1,0x877B,0xCF04,0x89BE, +0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236,0xB8E3,0x9592,0xB3C0,0x9930,0xAECC, +0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129,0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0, +0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9,0x8C4A,0xC946,0x89BE,0xCF04,0x877B, +0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38,0x809E,0xF374, +0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82, +0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276, +0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276, +0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_1024_q15[680]={ +0x7FFF,0x0000,0x7FFA,0xFDA5,0x7FEA,0xFB4A,0x7FCE,0xF8EF,0x7FA7,0xF695,0x7F75, +0xF43C,0x7F38,0xF1E4,0x7EF0,0xEF8D,0x7E9D,0xED38,0x7E3F,0xEAE4,0x7DD6,0xE892, +0x7D63,0xE642,0x7CE4,0xE3F4,0x7C5A,0xE1A9,0x7BC6,0xDF61,0x7B27,0xDD1B,0x7A7D, +0xDAD8,0x79C9,0xD898,0x790A,0xD65C,0x7840,0xD424,0x776C,0xD1EF,0x768E,0xCFBE, +0x75A6,0xCD92,0x74B3,0xCB69,0x73B6,0xC946,0x72AF,0xC727,0x719E,0xC50D,0x7083, +0xC2F8,0x6F5F,0xC0E9,0x6E31,0xBEDF,0x6CF9,0xBCDA,0x6BB8,0xBADC,0x6A6E,0xB8E3, +0x691A,0xB6F1,0x67BD,0xB505,0x6657,0xB31F,0x64E9,0xB140,0x6371,0xAF68,0x61F1, +0xAD97,0x6068,0xABCD,0x5ED7,0xAA0A,0x5D3E,0xA84F,0x5B9D,0xA69C,0x59F4,0xA4F0, +0x5843,0xA34C,0x568A,0xA1B0,0x54CA,0xA01C,0x5303,0x9E91,0x5134,0x9D0E,0x4F5E, +0x9B94,0x4D81,0x9A22,0x4B9E,0x98B9,0x49B4,0x9759,0x47C4,0x9603,0x45CD,0x94B5, +0x43D1,0x9371,0x41CE,0x9236,0x3FC6,0x9105,0x3DB8,0x8FDD,0x3BA5,0x8EBF,0x398D, +0x8DAB,0x3770,0x8CA1,0x354E,0x8BA0,0x3327,0x8AAA,0x30FC,0x89BE,0x2ECC,0x88DD, +0x2C99,0x8805,0x2A62,0x8738,0x2827,0x8676,0x25E8,0x85BE,0x23A7,0x8511,0x2162, +0x846E,0x1F1A,0x83D6,0x1CD0,0x8349,0x1A83,0x82C6,0x1833,0x824F,0x15E2,0x81E2, +0x138F,0x8181,0x113A,0x812A,0x0EE4,0x80DE,0x0C8C,0x809E,0x0A33,0x8068,0x07D9, +0x803E,0x057F,0x801E,0x0324,0x800A,0x00C9,0x8001,0xFE6E,0x8002,0xFC13,0x800F, +0xF9B8,0x8027,0xF75E,0x804B,0xF505,0x8079,0xF2AC,0x80B2,0xF055,0x80F6,0xEDFF, +0x8146,0xEBAB,0x81A0,0xE958,0x8205,0xE707,0x8276,0xE4B9,0x82F1,0xE26D,0x8377, +0xE023,0x8407,0xDDDC,0x84A3,0xDB99,0x8549,0xD958,0x85FA,0xD71B,0x86B6,0xD4E1, +0x877B,0xD2AB,0x884C,0xD079,0x8927,0xCE4B,0x8A0C,0xCC21,0x8AFB,0xC9FC,0x8BF5, +0xC7DB,0x8CF8,0xC5C0,0x8E06,0xC3A9,0x8F1D,0xC198,0x903E,0xBF8C,0x9169,0xBD86, +0x929E,0xBB85,0x93DC,0xB98B,0x9523,0xB796,0x9674,0xB5A8,0x97CE,0xB3C0,0x9930, +0xB1DF,0x9A9C,0xB005,0x9C11,0xAE31,0x9D8E,0xAC65,0x9F14,0xAAA0,0xA0A2,0xA8E2, +0xA238,0xA72C,0xA3D7,0xA57E,0xA57E,0xA3D7,0xA72C,0xA238,0xA8E2,0xA0A2,0xAAA0, +0x9F14,0xAC65,0x9D8E,0xAE31,0x9C11,0xB005,0x9A9C,0xB1DF,0x9930,0xB3C0,0x97CE, +0xB5A8,0x9674,0xB796,0x9523,0xB98B,0x93DC,0xBB85,0x929E,0xBD86,0x9169,0xBF8C, +0x903E,0xC198,0x8F1D,0xC3A9,0x8E06,0xC5C0,0x8CF8,0xC7DB,0x8BF5,0xC9FC,0x8AFB, +0xCC21,0x8A0C,0xCE4B,0x8927,0xD079,0x884C,0xD2AB,0x877B,0xD4E1,0x86B6,0xD71B, +0x85FA,0xD958,0x8549,0xDB99,0x84A3,0xDDDC,0x8407,0xE023,0x8377,0xE26D,0x82F1, +0xE4B9,0x8276,0xE707,0x8205,0xE958,0x81A0,0xEBAB,0x8146,0xEDFF,0x80F6,0xF055, +0x80B2,0xF2AC,0x8079,0xF505,0x804B,0xF75E,0x8027,0xF9B8,0x800F,0xFC13,0x8002, +0xFE6E,0x8001,0x00C9,0x800A,0x0324,0x801E,0x057F,0x803E,0x07D9,0x8068,0x0A33, +0x809E,0x0C8C,0x80DE,0x0EE4,0x812A,0x113A,0x8181,0x138F,0x81E2,0x15E2,0x824F, +0x1833,0x82C6,0x1A83,0x8349,0x1CD0,0x83D6,0x1F1A,0x846E,0x2162,0x8511,0x23A7, +0x85BE,0x25E8,0x8676,0x2827,0x8738,0x2A62,0x8805,0x2C99,0x88DD,0x2ECC,0x89BE, +0x30FC,0x8AAA,0x3327,0x8BA0,0x354E,0x8CA1,0x3770,0x8DAB,0x398D,0x8EBF,0x3BA5, +0x8FDD,0x3DB8,0x9105,0x3FC6,0x9236,0x41CE,0x9371,0x43D1,0x94B5,0x45CD,0x9603, +0x47C4,0x9759,0x49B4,0x98B9,0x4B9E,0x9A22,0x4D81,0x9B94,0x4F5E,0x9D0E,0x5134, +0x9E91,0x5303,0xA01C,0x54CA,0xA1B0,0x568A,0xA34C,0x5843,0xA4F0,0x59F4,0xA69C, +0x5B9D,0xA84F,0x5D3E,0xAA0A,0x5ED7,0xABCD,0x6068,0xAD97,0x61F1,0xAF68,0x6371, +0xB140,0x64E9,0xB31F,0x6657,0xB505,0x67BD,0xB6F1,0x691A,0xB8E3,0x6A6E,0xBADC, +0x6BB8,0xBCDA,0x6CF9,0xBEDF,0x6E31,0xC0E9,0x6F5F,0xC2F8,0x7083,0xC50D,0x719E, +0xC727,0x72AF,0xC946,0x73B6,0xCB69,0x74B3,0xCD92,0x75A6,0xCFBE,0x768E,0xD1EF, +0x776C,0xD424,0x7840,0xD65C,0x790A,0xD898,0x79C9,0xDAD8,0x7A7D,0xDD1B,0x7B27, +0xDF61,0x7BC6,0xE1A9,0x7C5A,0xE3F4,0x7CE4,0xE642,0x7D63,0xE892,0x7DD6,0xEAE4, +0x7E3F,0xED38,0x7E9D,0xEF8D,0x7EF0,0xF1E4,0x7F38,0xF43C,0x7F75,0xF695,0x7FA7, +0xF8EF,0x7FCE,0xFB4A,0x7FEA,0xFDA5,0x7FFA,0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D, +0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9, +0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134,0x9D0E,0x49B4, +0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676,0x1F1A,0x83D6, +0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055,0x80F6,0xE707, +0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC, +0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930,0xB3C0,0x93DC, +0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC,0x8276,0xE707, +0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2,0x15E2,0x83D6, +0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE,0x9759,0x49B4, +0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9, +0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D, +0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC, +0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9, +0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8, +0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192) + +uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6]={ +0,2048,2560,2688,2720,0,}; + +q15_t rearranged_twiddle_stride1_4096_q15[2728]={ +0x7FFF,0x0000,0x7FFF,0xFFCE,0x7FFF,0xFF9B,0x7FFF,0xFF69,0x7FFF,0xFF37,0x7FFF, +0xFF05,0x7FFF,0xFED2,0x7FFE,0xFEA0,0x7FFE,0xFE6E,0x7FFD,0xFE3C,0x7FFC,0xFE09, +0x7FFB,0xFDD7,0x7FFA,0xFDA5,0x7FF9,0xFD73,0x7FF8,0xFD40,0x7FF7,0xFD0E,0x7FF6, +0xFCDC,0x7FF5,0xFCAA,0x7FF4,0xFC77,0x7FF2,0xFC45,0x7FF1,0xFC13,0x7FEF,0xFBE1, +0x7FED,0xFBAE,0x7FEC,0xFB7C,0x7FEA,0xFB4A,0x7FE8,0xFB18,0x7FE6,0xFAE5,0x7FE4, +0xFAB3,0x7FE2,0xFA81,0x7FE0,0xFA4F,0x7FDD,0xFA1D,0x7FDB,0xF9EA,0x7FD9,0xF9B8, +0x7FD6,0xF986,0x7FD3,0xF954,0x7FD1,0xF922,0x7FCE,0xF8EF,0x7FCB,0xF8BD,0x7FC8, +0xF88B,0x7FC5,0xF859,0x7FC2,0xF827,0x7FBF,0xF7F4,0x7FBC,0xF7C2,0x7FB9,0xF790, +0x7FB5,0xF75E,0x7FB2,0xF72C,0x7FAE,0xF6FA,0x7FAB,0xF6C8,0x7FA7,0xF695,0x7FA3, +0xF663,0x7FA0,0xF631,0x7F9C,0xF5FF,0x7F98,0xF5CD,0x7F94,0xF59B,0x7F90,0xF569, +0x7F8B,0xF537,0x7F87,0xF505,0x7F83,0xF4D3,0x7F7E,0xF4A0,0x7F7A,0xF46E,0x7F75, +0xF43C,0x7F71,0xF40A,0x7F6C,0xF3D8,0x7F67,0xF3A6,0x7F62,0xF374,0x7F5D,0xF342, +0x7F58,0xF310,0x7F53,0xF2DE,0x7F4E,0xF2AC,0x7F49,0xF27A,0x7F43,0xF248,0x7F3E, +0xF216,0x7F38,0xF1E4,0x7F33,0xF1B2,0x7F2D,0xF180,0x7F27,0xF14E,0x7F22,0xF11C, +0x7F1C,0xF0EB,0x7F16,0xF0B9,0x7F10,0xF087,0x7F0A,0xF055,0x7F03,0xF023,0x7EFD, +0xEFF1,0x7EF7,0xEFBF,0x7EF0,0xEF8D,0x7EEA,0xEF5C,0x7EE3,0xEF2A,0x7EDD,0xEEF8, +0x7ED6,0xEEC6,0x7ECF,0xEE94,0x7EC8,0xEE62,0x7EC1,0xEE31,0x7EBA,0xEDFF,0x7EB3, +0xEDCD,0x7EAC,0xED9B,0x7EA5,0xED6A,0x7E9D,0xED38,0x7E96,0xED06,0x7E8E,0xECD5, +0x7E87,0xECA3,0x7E7F,0xEC71,0x7E78,0xEC3F,0x7E70,0xEC0E,0x7E68,0xEBDC,0x7E60, +0xEBAB,0x7E58,0xEB79,0x7E50,0xEB47,0x7E48,0xEB16,0x7E3F,0xEAE4,0x7E37,0xEAB3, +0x7E2F,0xEA81,0x7E26,0xEA4F,0x7E1E,0xEA1E,0x7E15,0xE9EC,0x7E0C,0xE9BB,0x7E03, +0xE989,0x7DFB,0xE958,0x7DF2,0xE926,0x7DE9,0xE8F5,0x7DE0,0xE8C4,0x7DD6,0xE892, +0x7DCD,0xE861,0x7DC4,0xE82F,0x7DBA,0xE7FE,0x7DB1,0xE7CD,0x7DA7,0xE79B,0x7D9E, +0xE76A,0x7D94,0xE739,0x7D8A,0xE707,0x7D81,0xE6D6,0x7D77,0xE6A5,0x7D6D,0xE673, +0x7D63,0xE642,0x7D58,0xE611,0x7D4E,0xE5E0,0x7D44,0xE5AF,0x7D3A,0xE57D,0x7D2F, +0xE54C,0x7D25,0xE51B,0x7D1A,0xE4EA,0x7D0F,0xE4B9,0x7D05,0xE488,0x7CFA,0xE457, +0x7CEF,0xE426,0x7CE4,0xE3F4,0x7CD9,0xE3C3,0x7CCE,0xE392,0x7CC2,0xE361,0x7CB7, +0xE330,0x7CAC,0xE2FF,0x7CA0,0xE2CF,0x7C95,0xE29E,0x7C89,0xE26D,0x7C7E,0xE23C, +0x7C72,0xE20B,0x7C66,0xE1DA,0x7C5A,0xE1A9,0x7C4E,0xE178,0x7C42,0xE148,0x7C36, +0xE117,0x7C2A,0xE0E6,0x7C1E,0xE0B5,0x7C11,0xE085,0x7C05,0xE054,0x7BF9,0xE023, +0x7BEC,0xDFF2,0x7BDF,0xDFC2,0x7BD3,0xDF91,0x7BC6,0xDF61,0x7BB9,0xDF30,0x7BAC, +0xDEFF,0x7B9F,0xDECF,0x7B92,0xDE9E,0x7B85,0xDE6E,0x7B78,0xDE3D,0x7B6A,0xDE0D, +0x7B5D,0xDDDC,0x7B50,0xDDAC,0x7B42,0xDD7C,0x7B34,0xDD4B,0x7B27,0xDD1B,0x7B19, +0xDCEA,0x7B0B,0xDCBA,0x7AFD,0xDC8A,0x7AEF,0xDC59,0x7AE1,0xDC29,0x7AD3,0xDBF9, +0x7AC5,0xDBC9,0x7AB7,0xDB99,0x7AA8,0xDB68,0x7A9A,0xDB38,0x7A8C,0xDB08,0x7A7D, +0xDAD8,0x7A6E,0xDAA8,0x7A60,0xDA78,0x7A51,0xDA48,0x7A42,0xDA18,0x7A33,0xD9E8, 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+0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38, +0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E, +0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000, +0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE, +0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_4096_q15[2728]={ +0x7FFF,0x0000,0x7FFF,0xFF69,0x7FFF,0xFED2,0x7FFD,0xFE3C,0x7FFA,0xFDA5,0x7FF7, +0xFD0E,0x7FF4,0xFC77,0x7FEF,0xFBE1,0x7FEA,0xFB4A,0x7FE4,0xFAB3,0x7FDD,0xFA1D, +0x7FD6,0xF986,0x7FCE,0xF8EF,0x7FC5,0xF859,0x7FBC,0xF7C2,0x7FB2,0xF72C,0x7FA7, +0xF695,0x7F9C,0xF5FF,0x7F90,0xF569,0x7F83,0xF4D3,0x7F75,0xF43C,0x7F67,0xF3A6, +0x7F58,0xF310,0x7F49,0xF27A,0x7F38,0xF1E4,0x7F27,0xF14E,0x7F16,0xF0B9,0x7F03, +0xF023,0x7EF0,0xEF8D,0x7EDD,0xEEF8,0x7EC8,0xEE62,0x7EB3,0xEDCD,0x7E9D,0xED38, +0x7E87,0xECA3,0x7E70,0xEC0E,0x7E58,0xEB79,0x7E3F,0xEAE4,0x7E26,0xEA4F,0x7E0C, +0xE9BB,0x7DF2,0xE926,0x7DD6,0xE892,0x7DBA,0xE7FE,0x7D9E,0xE76A,0x7D81,0xE6D6, +0x7D63,0xE642,0x7D44,0xE5AF,0x7D25,0xE51B,0x7D05,0xE488,0x7CE4,0xE3F4,0x7CC2, +0xE361,0x7CA0,0xE2CF,0x7C7E,0xE23C,0x7C5A,0xE1A9,0x7C36,0xE117,0x7C11,0xE085, +0x7BEC,0xDFF2,0x7BC6,0xDF61,0x7B9F,0xDECF,0x7B78,0xDE3D,0x7B50,0xDDAC,0x7B27, +0xDD1B,0x7AFD,0xDC8A,0x7AD3,0xDBF9,0x7AA8,0xDB68,0x7A7D,0xDAD8,0x7A51,0xDA48, +0x7A24,0xD9B8,0x79F7,0xD928,0x79C9,0xD898,0x799A,0xD809,0x796A,0xD77A,0x793A, +0xD6EB,0x790A,0xD65C,0x78D8,0xD5CE,0x78A6,0xD53F,0x7874,0xD4B1,0x7840,0xD424, +0x780C,0xD396,0x77D8,0xD309,0x77A2,0xD27C,0x776C,0xD1EF,0x7736,0xD162,0x76FE, +0xD0D6,0x76C7,0xD04A,0x768E,0xCFBE,0x7655,0xCF33,0x761B,0xCEA7,0x75E1,0xCE1C, +0x75A6,0xCD92,0x756A,0xCD07,0x752D,0xCC7D,0x74F0,0xCBF3,0x74B3,0xCB69,0x7475, +0xCAE0,0x7436,0xCA57,0x73F6,0xC9CE,0x73B6,0xC946,0x7375,0xC8BE,0x7334,0xC836, +0x72F2,0xC7AE,0x72AF,0xC727,0x726C,0xC6A0,0x7228,0xC619,0x71E3,0xC593,0x719E, +0xC50D,0x7158,0xC487,0x7112,0xC402,0x70CB,0xC37D,0x7083,0xC2F8,0x703B,0xC274, +0x6FF2,0xC1F0,0x6FA9,0xC16C,0x6F5F,0xC0E9,0x6F14,0xC066,0x6EC9,0xBFE3,0x6E7D, +0xBF61,0x6E31,0xBEDF,0x6DE4,0xBE5D,0x6D96,0xBDDC,0x6D48,0xBD5B,0x6CF9,0xBCDA, +0x6CAA,0xBC5A,0x6C5A,0xBBDA,0x6C09,0xBB5B,0x6BB8,0xBADC,0x6B66,0xBA5D,0x6B14, +0xB9DF,0x6AC1,0xB961,0x6A6E,0xB8E3,0x6A1A,0xB866,0x69C5,0xB7E9,0x6970,0xB76D, +0x691A,0xB6F1,0x68C4,0xB675,0x686D,0xB5FA,0x6815,0xB57F,0x67BD,0xB505,0x6764, +0xB48B,0x670B,0xB411,0x66B2,0xB398,0x6657,0xB31F,0x65FC,0xB2A7,0x65A1,0xB22F, +0x6545,0xB1B7,0x64E9,0xB140,0x648B,0xB0C9,0x642E,0xB053,0x63D0,0xAFDD,0x6371, +0xAF68,0x6312,0xAEF3,0x62B2,0xAE7F,0x6252,0xAE0B,0x61F1,0xAD97,0x6190,0xAD24, +0x612E,0xACB1,0x60CB,0xAC3F,0x6068,0xABCD,0x6005,0xAB5C,0x5FA1,0xAAEB,0x5F3C, +0xAA7A,0x5ED7,0xAA0A,0x5E72,0xA99B,0x5E0C,0xA92C,0x5DA5,0xA8BD,0x5D3E,0xA84F, +0x5CD7,0xA7E2,0x5C6F,0xA774,0x5C06,0xA708,0x5B9D,0xA69C,0x5B34,0xA630,0x5AC9, +0xA5C5,0x5A5F,0xA55A,0x59F4,0xA4F0,0x5988,0xA486,0x591C,0xA41D,0x58B0,0xA3B4, +0x5843,0xA34C,0x57D5,0xA2E4,0x5767,0xA27D,0x56F9,0xA216,0x568A,0xA1B0,0x561B, +0xA14A,0x55AB,0xA0E5,0x553B,0xA080,0x54CA,0xA01C,0x5459,0x9FB9,0x53E7,0x9F56, +0x5375,0x9EF3,0x5303,0x9E91,0x5290,0x9E2F,0x521C,0x9DCE,0x51A8,0x9D6E,0x5134, +0x9D0E,0x50BF,0x9CAF,0x504A,0x9C50,0x4FD4,0x9BF1,0x4F5E,0x9B94,0x4EE8,0x9B36, +0x4E71,0x9ADA,0x4DF9,0x9A7E,0x4D81,0x9A22,0x4D09,0x99C7,0x4C91,0x996D,0x4C17, +0x9913,0x4B9E,0x98B9,0x4B24,0x9860,0x4AAA,0x9808,0x4A2F,0x97B0,0x49B4,0x9759, +0x4939,0x9703,0x48BD,0x96AD,0x4840,0x9657,0x47C4,0x9603,0x4747,0x95AE,0x46C9, +0x955B,0x464B,0x9508,0x45CD,0x94B5,0x454F,0x9463,0x44D0,0x9412,0x4450,0x93C1, +0x43D1,0x9371,0x4351,0x9321,0x42D0,0x92D2,0x424F,0x9284,0x41CE,0x9236,0x414D, +0x91E9,0x40CB,0x919C,0x4048,0x9150,0x3FC6,0x9105,0x3F43,0x90BA,0x3EC0,0x9070, +0x3E3C,0x9026,0x3DB8,0x8FDD,0x3D34,0x8F95,0x3CAF,0x8F4D,0x3C2A,0x8F06,0x3BA5, +0x8EBF,0x3B20,0x8E79,0x3A9A,0x8E34,0x3A13,0x8DEF,0x398D,0x8DAB,0x3906,0x8D67, +0x387F,0x8D24,0x37F7,0x8CE2,0x3770,0x8CA1,0x36E8,0x8C60,0x365F,0x8C1F,0x35D7, +0x8BDF,0x354E,0x8BA0,0x34C4,0x8B62,0x343B,0x8B24,0x33B1,0x8AE7,0x3327,0x8AAA, +0x329D,0x8A6E,0x3212,0x8A33,0x3187,0x89F8,0x30FC,0x89BE,0x3070,0x8985,0x2FE5, +0x894C,0x2F59,0x8914,0x2ECC,0x88DD,0x2E40,0x88A6,0x2DB3,0x8870,0x2D26,0x883A, +0x2C99,0x8805,0x2C0C,0x87D1,0x2B7E,0x879D,0x2AF0,0x876B,0x2A62,0x8738,0x29D3, +0x8707,0x2945,0x86D6,0x28B6,0x86A5,0x2827,0x8676,0x2797,0x8647,0x2708,0x8619, +0x2678,0x85EB,0x25E8,0x85BE,0x2558,0x8592,0x24C8,0x8566,0x2437,0x853B,0x23A7, +0x8511,0x2316,0x84E7,0x2284,0x84BE,0x21F3,0x8496,0x2162,0x846E,0x20D0,0x8447, +0x203E,0x8421,0x1FAC,0x83FB,0x1F1A,0x83D6,0x1E88,0x83B2,0x1DF5,0x838E,0x1D62, +0x836B,0x1CD0,0x8349,0x1C3D,0x8327,0x1BA9,0x8306,0x1B16,0x82E6,0x1A83,0x82C6, +0x19EF,0x82A8,0x195B,0x8289,0x18C7,0x826C,0x1833,0x824F,0x179F,0x8233,0x170B, +0x8217,0x1677,0x81FD,0x15E2,0x81E2,0x154D,0x81C9,0x14B9,0x81B0,0x1424,0x8198, +0x138F,0x8181,0x12FA,0x816A,0x1265,0x8154,0x11CF,0x813F,0x113A,0x812A,0x10A4, +0x8116,0x100F,0x8103,0x0F79,0x80F0,0x0EE4,0x80DE,0x0E4E,0x80CD,0x0DB8,0x80BD, +0x0D22,0x80AD,0x0C8C,0x809E,0x0BF6,0x808F,0x0B60,0x8082,0x0AC9,0x8075,0x0A33, +0x8068,0x099D,0x805D,0x0906,0x8052,0x0870,0x8047,0x07D9,0x803E,0x0743,0x8035, +0x06AC,0x802D,0x0616,0x8025,0x057F,0x801E,0x04E8,0x8018,0x0452,0x8013,0x03BB, +0x800E,0x0324,0x800A,0x028D,0x8007,0x01F7,0x8004,0x0160,0x8002,0x00C9,0x8001, +0x0032,0x8000,0xFF9B,0x8000,0xFF05,0x8001,0xFE6E,0x8002,0xFDD7,0x8005,0xFD40, +0x8008,0xFCAA,0x800B,0xFC13,0x800F,0xFB7C,0x8014,0xFAE5,0x801A,0xFA4F,0x8020, +0xF9B8,0x8027,0xF922,0x802F,0xF88B,0x8038,0xF7F4,0x8041,0xF75E,0x804B,0xF6C8, +0x8055,0xF631,0x8060,0xF59B,0x806C,0xF505,0x8079,0xF46E,0x8086,0xF3D8,0x8094, +0xF342,0x80A3,0xF2AC,0x80B2,0xF216,0x80C2,0xF180,0x80D3,0xF0EB,0x80E4,0xF055, +0x80F6,0xEFBF,0x8109,0xEF2A,0x811D,0xEE94,0x8131,0xEDFF,0x8146,0xED6A,0x815B, +0xECD5,0x8172,0xEC3F,0x8188,0xEBAB,0x81A0,0xEB16,0x81B8,0xEA81,0x81D1,0xE9EC, +0x81EB,0xE958,0x8205,0xE8C4,0x8220,0xE82F,0x823C,0xE79B,0x8259,0xE707,0x8276, +0xE673,0x8293,0xE5E0,0x82B2,0xE54C,0x82D1,0xE4B9,0x82F1,0xE426,0x8311,0xE392, +0x8332,0xE2FF,0x8354,0xE26D,0x8377,0xE1DA,0x839A,0xE148,0x83BE,0xE0B5,0x83E2, +0xE023,0x8407,0xDF91,0x842D,0xDEFF,0x8454,0xDE6E,0x847B,0xDDDC,0x84A3,0xDD4B, +0x84CC,0xDCBA,0x84F5,0xDC29,0x851F,0xDB99,0x8549,0xDB08,0x8574,0xDA78,0x85A0, +0xD9E8,0x85CD,0xD958,0x85FA,0xD8C8,0x8628,0xD839,0x8656,0xD7AA,0x8686,0xD71B, +0x86B6,0xD68C,0x86E6,0xD5FD,0x8717,0xD56F,0x8749,0xD4E1,0x877B,0xD453,0x87AF, +0xD3C5,0x87E2,0xD338,0x8817,0xD2AB,0x884C,0xD21E,0x8882,0xD191,0x88B8,0xD105, +0x88EF,0xD079,0x8927,0xCFED,0x895F,0xCF61,0x8998,0xCED6,0x89D2,0xCE4B,0x8A0C, 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+0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134, +0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676, +0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055, +0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D, +0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930, +0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC, +0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2, +0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE, +0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3, +0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4, +0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134, +0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E, +0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3, +0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ +#endif /* defined(ARM_MATH_MVEI) */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_mve_tables_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_mve_tables_f16.c new file mode 100644 index 00000000..cd197e93 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/CommonTables/arm_mve_tables_f16.c @@ -0,0 +1,5576 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mve_tables_f16.c + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * used for MVE implementation only + * + * @version V1.10.0 + * @date 04 October 2021 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + #include "arm_math_types_f16.h" + + +#if defined(ARM_FLOAT16_SUPPORTED) + + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_16) || defined(ARM_TABLE_TWIDDLECOEF_F16_32) + +uint32_t rearranged_twiddle_tab_stride1_arr_16_f16[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_16_f16[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_16_f16[2]={ +0,0,}; + +float16_t rearranged_twiddle_stride1_16_f16[8]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f,}; + +float16_t rearranged_twiddle_stride2_16_f16[8]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.0000000000000f,(float16_t)1.0000000000000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f,}; + +float16_t rearranged_twiddle_stride3_16_f16[8]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_64) || defined(ARM_TABLE_TWIDDLECOEF_F16_128) + +uint32_t rearranged_twiddle_tab_stride1_arr_64_f16[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_64_f16[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_64_f16[3]={ +0,32,0,}; + +float16_t rearranged_twiddle_stride1_64_f16[40]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9951171875000f,(float16_t)0.0980224609375f, +(float16_t)0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.7729492187500f,(float16_t)0.6342773437500f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.2902832031250f,(float16_t)0.9570312500000f, +(float16_t)0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f,}; + +float16_t rearranged_twiddle_stride2_64_f16[40]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)0.0000000000000f,(float16_t)1.0000000000000f, +(float16_t)-0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)-0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)-0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)-0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)-0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.0000000000000f,(float16_t)1.0000000000000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f,}; + +float16_t rearranged_twiddle_stride3_64_f16[40]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)-0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)-0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)-0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)-0.9951171875000f,(float16_t)-0.0980224609375f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f, +(float16_t)-0.7729492187500f,(float16_t)-0.6342773437500f, +(float16_t)-0.5556640625000f,(float16_t)-0.8315429687500f, +(float16_t)-0.2902832031250f,(float16_t)-0.9570312500000f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_256) || defined(ARM_TABLE_TWIDDLECOEF_F16_512) + +uint32_t rearranged_twiddle_tab_stride1_arr_256_f16[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_256_f16[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_256_f16[4]={ +0,128,160,0,}; + +float16_t rearranged_twiddle_stride1_256_f16[168]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9995117187500f,(float16_t)0.0245361328125f, +(float16_t)0.9990234375000f,(float16_t)0.0490722656250f, +(float16_t)0.9970703125000f,(float16_t)0.0735473632812f, +(float16_t)0.9951171875000f,(float16_t)0.0980224609375f, +(float16_t)0.9926757812500f,(float16_t)0.1224365234375f, +(float16_t)0.9892578125000f,(float16_t)0.1467285156250f, +(float16_t)0.9853515625000f,(float16_t)0.1710205078125f, +(float16_t)0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)0.9755859375000f,(float16_t)0.2191162109375f, +(float16_t)0.9702148437500f,(float16_t)0.2429199218750f, +(float16_t)0.9638671875000f,(float16_t)0.2666015625000f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.9497070312500f,(float16_t)0.3137207031250f, +(float16_t)0.9414062500000f,(float16_t)0.3369140625000f, +(float16_t)0.9331054687500f,(float16_t)0.3598632812500f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.9140625000000f,(float16_t)0.4052734375000f, +(float16_t)0.9038085937500f,(float16_t)0.4274902343750f, +(float16_t)0.8930664062500f,(float16_t)0.4497070312500f, +(float16_t)0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)0.8701171875000f,(float16_t)0.4929199218750f, +(float16_t)0.8579101562500f,(float16_t)0.5141601562500f, +(float16_t)0.8447265625000f,(float16_t)0.5351562500000f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.8173828125000f,(float16_t)0.5756835937500f, +(float16_t)0.8032226562500f,(float16_t)0.5957031250000f, +(float16_t)0.7885742187500f,(float16_t)0.6152343750000f, +(float16_t)0.7729492187500f,(float16_t)0.6342773437500f, +(float16_t)0.7573242187500f,(float16_t)0.6533203125000f, +(float16_t)0.7407226562500f,(float16_t)0.6713867187500f, +(float16_t)0.7241210937500f,(float16_t)0.6894531250000f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.6894531250000f,(float16_t)0.7241210937500f, +(float16_t)0.6713867187500f,(float16_t)0.7407226562500f, +(float16_t)0.6533203125000f,(float16_t)0.7573242187500f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.6152343750000f,(float16_t)0.7885742187500f, +(float16_t)0.5957031250000f,(float16_t)0.8032226562500f, +(float16_t)0.5756835937500f,(float16_t)0.8173828125000f, +(float16_t)0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)0.5351562500000f,(float16_t)0.8447265625000f, +(float16_t)0.5141601562500f,(float16_t)0.8579101562500f, +(float16_t)0.4929199218750f,(float16_t)0.8701171875000f, +(float16_t)0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)0.4497070312500f,(float16_t)0.8930664062500f, +(float16_t)0.4274902343750f,(float16_t)0.9038085937500f, +(float16_t)0.4052734375000f,(float16_t)0.9140625000000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.3598632812500f,(float16_t)0.9331054687500f, +(float16_t)0.3369140625000f,(float16_t)0.9414062500000f, +(float16_t)0.3137207031250f,(float16_t)0.9497070312500f, +(float16_t)0.2902832031250f,(float16_t)0.9570312500000f, +(float16_t)0.2666015625000f,(float16_t)0.9638671875000f, +(float16_t)0.2429199218750f,(float16_t)0.9702148437500f, +(float16_t)0.2191162109375f,(float16_t)0.9755859375000f, +(float16_t)0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)0.1710205078125f,(float16_t)0.9853515625000f, +(float16_t)0.1467285156250f,(float16_t)0.9892578125000f, +(float16_t)0.1224365234375f,(float16_t)0.9926757812500f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)0.0735473632812f,(float16_t)0.9970703125000f, +(float16_t)0.0490722656250f,(float16_t)0.9990234375000f, +(float16_t)0.0245361328125f,(float16_t)0.9995117187500f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9951171875000f,(float16_t)0.0980224609375f, +(float16_t)0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.7729492187500f,(float16_t)0.6342773437500f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.2902832031250f,(float16_t)0.9570312500000f, +(float16_t)0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f,}; + +float16_t rearranged_twiddle_stride2_256_f16[168]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9990234375000f,(float16_t)0.0490722656250f, +(float16_t)0.9951171875000f,(float16_t)0.0980224609375f, +(float16_t)0.9892578125000f,(float16_t)0.1467285156250f, +(float16_t)0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)0.9702148437500f,(float16_t)0.2429199218750f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.9414062500000f,(float16_t)0.3369140625000f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.9038085937500f,(float16_t)0.4274902343750f, +(float16_t)0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)0.8579101562500f,(float16_t)0.5141601562500f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.8032226562500f,(float16_t)0.5957031250000f, +(float16_t)0.7729492187500f,(float16_t)0.6342773437500f, +(float16_t)0.7407226562500f,(float16_t)0.6713867187500f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.6713867187500f,(float16_t)0.7407226562500f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.5957031250000f,(float16_t)0.8032226562500f, +(float16_t)0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)0.5141601562500f,(float16_t)0.8579101562500f, +(float16_t)0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)0.4274902343750f,(float16_t)0.9038085937500f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.3369140625000f,(float16_t)0.9414062500000f, +(float16_t)0.2902832031250f,(float16_t)0.9570312500000f, +(float16_t)0.2429199218750f,(float16_t)0.9702148437500f, +(float16_t)0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)0.1467285156250f,(float16_t)0.9892578125000f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)0.0490722656250f,(float16_t)0.9990234375000f, +(float16_t)0.0000000000000f,(float16_t)1.0000000000000f, +(float16_t)-0.0490722656250f,(float16_t)0.9990234375000f, +(float16_t)-0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)-0.1467285156250f,(float16_t)0.9892578125000f, +(float16_t)-0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)-0.2429199218750f,(float16_t)0.9702148437500f, +(float16_t)-0.2902832031250f,(float16_t)0.9570312500000f, +(float16_t)-0.3369140625000f,(float16_t)0.9414062500000f, +(float16_t)-0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)-0.4274902343750f,(float16_t)0.9038085937500f, +(float16_t)-0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)-0.5141601562500f,(float16_t)0.8579101562500f, +(float16_t)-0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)-0.5957031250000f,(float16_t)0.8032226562500f, +(float16_t)-0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)-0.6713867187500f,(float16_t)0.7407226562500f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.7407226562500f,(float16_t)0.6713867187500f, +(float16_t)-0.7729492187500f,(float16_t)0.6342773437500f, +(float16_t)-0.8032226562500f,(float16_t)0.5957031250000f, +(float16_t)-0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)-0.8579101562500f,(float16_t)0.5141601562500f, +(float16_t)-0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)-0.9038085937500f,(float16_t)0.4274902343750f, +(float16_t)-0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)-0.9414062500000f,(float16_t)0.3369140625000f, +(float16_t)-0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)-0.9702148437500f,(float16_t)0.2429199218750f, +(float16_t)-0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)-0.9892578125000f,(float16_t)0.1467285156250f, +(float16_t)-0.9951171875000f,(float16_t)0.0980224609375f, +(float16_t)-0.9990234375000f,(float16_t)0.0490722656250f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)0.0000000000000f,(float16_t)1.0000000000000f, +(float16_t)-0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)-0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)-0.5556640625000f,(float16_t)0.8315429687500f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)-0.9238281250000f,(float16_t)0.3825683593750f, +(float16_t)-0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)0.0000000000000f,(float16_t)1.0000000000000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f,}; + +float16_t rearranged_twiddle_stride3_256_f16[168]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9970703125000f,(float16_t)0.0735473632812f, +(float16_t)0.9892578125000f,(float16_t)0.1467285156250f, +(float16_t)0.9755859375000f,(float16_t)0.2191162109375f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.9331054687500f,(float16_t)0.3598632812500f, +(float16_t)0.9038085937500f,(float16_t)0.4274902343750f, +(float16_t)0.8701171875000f,(float16_t)0.4929199218750f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.7885742187500f,(float16_t)0.6152343750000f, +(float16_t)0.7407226562500f,(float16_t)0.6713867187500f, +(float16_t)0.6894531250000f,(float16_t)0.7241210937500f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.5756835937500f,(float16_t)0.8173828125000f, +(float16_t)0.5141601562500f,(float16_t)0.8579101562500f, +(float16_t)0.4497070312500f,(float16_t)0.8930664062500f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.3137207031250f,(float16_t)0.9497070312500f, +(float16_t)0.2429199218750f,(float16_t)0.9702148437500f, +(float16_t)0.1710205078125f,(float16_t)0.9853515625000f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)0.0245361328125f,(float16_t)0.9995117187500f, +(float16_t)-0.0490722656250f,(float16_t)0.9990234375000f, +(float16_t)-0.1224365234375f,(float16_t)0.9926757812500f, +(float16_t)-0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)-0.2666015625000f,(float16_t)0.9638671875000f, +(float16_t)-0.3369140625000f,(float16_t)0.9414062500000f, +(float16_t)-0.4052734375000f,(float16_t)0.9140625000000f, +(float16_t)-0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)-0.5351562500000f,(float16_t)0.8447265625000f, +(float16_t)-0.5957031250000f,(float16_t)0.8032226562500f, +(float16_t)-0.6533203125000f,(float16_t)0.7573242187500f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.7573242187500f,(float16_t)0.6533203125000f, +(float16_t)-0.8032226562500f,(float16_t)0.5957031250000f, +(float16_t)-0.8447265625000f,(float16_t)0.5351562500000f, +(float16_t)-0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)-0.9140625000000f,(float16_t)0.4052734375000f, +(float16_t)-0.9414062500000f,(float16_t)0.3369140625000f, +(float16_t)-0.9638671875000f,(float16_t)0.2666015625000f, +(float16_t)-0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)-0.9926757812500f,(float16_t)0.1224365234375f, +(float16_t)-0.9990234375000f,(float16_t)0.0490722656250f, +(float16_t)-0.9995117187500f,(float16_t)-0.0245361328125f, +(float16_t)-0.9951171875000f,(float16_t)-0.0980224609375f, +(float16_t)-0.9853515625000f,(float16_t)-0.1710205078125f, +(float16_t)-0.9702148437500f,(float16_t)-0.2429199218750f, +(float16_t)-0.9497070312500f,(float16_t)-0.3137207031250f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f, +(float16_t)-0.8930664062500f,(float16_t)-0.4497070312500f, +(float16_t)-0.8579101562500f,(float16_t)-0.5141601562500f, +(float16_t)-0.8173828125000f,(float16_t)-0.5756835937500f, +(float16_t)-0.7729492187500f,(float16_t)-0.6342773437500f, +(float16_t)-0.7241210937500f,(float16_t)-0.6894531250000f, +(float16_t)-0.6713867187500f,(float16_t)-0.7407226562500f, +(float16_t)-0.6152343750000f,(float16_t)-0.7885742187500f, +(float16_t)-0.5556640625000f,(float16_t)-0.8315429687500f, +(float16_t)-0.4929199218750f,(float16_t)-0.8701171875000f, +(float16_t)-0.4274902343750f,(float16_t)-0.9038085937500f, +(float16_t)-0.3598632812500f,(float16_t)-0.9331054687500f, +(float16_t)-0.2902832031250f,(float16_t)-0.9570312500000f, +(float16_t)-0.2191162109375f,(float16_t)-0.9755859375000f, +(float16_t)-0.1467285156250f,(float16_t)-0.9892578125000f, +(float16_t)-0.0735473632812f,(float16_t)-0.9970703125000f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)-0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)-0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)-0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)-0.9951171875000f,(float16_t)-0.0980224609375f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f, +(float16_t)-0.7729492187500f,(float16_t)-0.6342773437500f, +(float16_t)-0.5556640625000f,(float16_t)-0.8315429687500f, +(float16_t)-0.2902832031250f,(float16_t)-0.9570312500000f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_1024) || defined(ARM_TABLE_TWIDDLECOEF_F16_2048) + +uint32_t rearranged_twiddle_tab_stride1_arr_1024_f16[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_1024_f16[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_1024_f16[5]={ +0,512,640,672,0,}; + +float16_t rearranged_twiddle_stride1_1024_f16[680]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)1.0000000000000f,(float16_t)0.0061340332031f, +(float16_t)1.0000000000000f,(float16_t)0.0122680664062f, +(float16_t)1.0000000000000f,(float16_t)0.0184020996094f, +(float16_t)0.9995117187500f,(float16_t)0.0245361328125f, +(float16_t)0.9995117187500f,(float16_t)0.0306701660156f, +(float16_t)0.9995117187500f,(float16_t)0.0368041992188f, +(float16_t)0.9990234375000f,(float16_t)0.0429382324219f, +(float16_t)0.9990234375000f,(float16_t)0.0490722656250f, +(float16_t)0.9985351562500f,(float16_t)0.0552062988281f, +(float16_t)0.9980468750000f,(float16_t)0.0613098144531f, +(float16_t)0.9975585937500f,(float16_t)0.0674438476562f, 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rearranged_twiddle_tab_stride2_arr_4096_f16[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_4096_f16[6]={ +0,2048,2560,2688,2720,0,}; + +float16_t rearranged_twiddle_stride1_4096_f16[2728]={ +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)1.0000000000000f,(float16_t)0.0015335083008f, +(float16_t)1.0000000000000f,(float16_t)0.0030670166016f, +(float16_t)1.0000000000000f,(float16_t)0.0046005249023f, +(float16_t)1.0000000000000f,(float16_t)0.0061340332031f, +(float16_t)1.0000000000000f,(float16_t)0.0076713562012f, +(float16_t)1.0000000000000f,(float16_t)0.0092010498047f, +(float16_t)1.0000000000000f,(float16_t)0.0107345581055f, +(float16_t)1.0000000000000f,(float16_t)0.0122680664062f, +(float16_t)1.0000000000000f,(float16_t)0.0138015747070f, +(float16_t)1.0000000000000f,(float16_t)0.0153427124023f, +(float16_t)1.0000000000000f,(float16_t)0.0168762207031f, +(float16_t)1.0000000000000f,(float16_t)0.0184020996094f, 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+(float16_t)-0.4929199218750f,(float16_t)-0.8701171875000f, +(float16_t)-0.4274902343750f,(float16_t)-0.9038085937500f, +(float16_t)-0.3598632812500f,(float16_t)-0.9331054687500f, +(float16_t)-0.2902832031250f,(float16_t)-0.9570312500000f, +(float16_t)-0.2191162109375f,(float16_t)-0.9755859375000f, +(float16_t)-0.1467285156250f,(float16_t)-0.9892578125000f, +(float16_t)-0.0735473632812f,(float16_t)-0.9970703125000f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.9570312500000f,(float16_t)0.2902832031250f, +(float16_t)0.8315429687500f,(float16_t)0.5556640625000f, +(float16_t)0.6342773437500f,(float16_t)0.7729492187500f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)0.0980224609375f,(float16_t)0.9951171875000f, +(float16_t)-0.1950683593750f,(float16_t)0.9809570312500f, +(float16_t)-0.4714355468750f,(float16_t)0.8818359375000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.8818359375000f,(float16_t)0.4714355468750f, +(float16_t)-0.9809570312500f,(float16_t)0.1950683593750f, +(float16_t)-0.9951171875000f,(float16_t)-0.0980224609375f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f, +(float16_t)-0.7729492187500f,(float16_t)-0.6342773437500f, +(float16_t)-0.5556640625000f,(float16_t)-0.8315429687500f, +(float16_t)-0.2902832031250f,(float16_t)-0.9570312500000f, +(float16_t)1.0000000000000f,(float16_t)0.0000000000000f, +(float16_t)0.3825683593750f,(float16_t)0.9238281250000f, +(float16_t)-0.7070312500000f,(float16_t)0.7070312500000f, +(float16_t)-0.9238281250000f,(float16_t)-0.3825683593750f,}; + +#endif + + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ +#endif /* defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#endif /* if defined(ARM_FLOAT16_SUPPORTED) */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt new file mode 100644 index 00000000..5251dd3c --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt @@ -0,0 +1,74 @@ +cmake_minimum_required (VERSION 3.14) + +project(CMSISDSPComplexMath) + +include(configLib) +include(configDsp) + +add_library(CMSISDSPComplexMath STATIC) + +configLib(CMSISDSPComplexMath ${ROOT}) +configDsp(CMSISDSPComplexMath ${ROOT}) + + +include(interpol) +interpol(CMSISDSPComplexMath) + + +if (CONFIGTABLE AND ALLFAST) + target_compile_definitions(CMSISDSPComplexMath PUBLIC ARM_ALL_FAST_TABLES) +endif() + +# Vectorized code is defining sqrt +# so fast tables required even if Fast Math not built. +if (CONFIGTABLE AND (HELIUM OR MVEF OR MVEI)) + target_compile_definitions(CMSISDSPComplexMath PUBLIC ARM_FAST_ALLOW_TABLES) +endif() + + +# MVE code is using a table for computing the fast sqrt arm_cmplx_mag_q31 +# There is the possibility of not compiling this function and not including +# the table. +if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q31 OR (NOT HELIUM AND NOT MVEI)) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q15 OR (NOT HELIUM AND NOT MVEI)) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q15.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_FAST_Q15 OR (NOT HELIUM AND NOT MVEI)) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_fast_q15.c) +endif() + +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f64.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f64.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f64.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q31.c) + +if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16)) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_f16.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_f16.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f16.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f16.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f16.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_f16.c) +endif() + +### Includes +target_include_directories(CMSISDSPComplexMath PUBLIC "${DSP}/Include") diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c new file mode 100644 index 00000000..9b46bb35 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c @@ -0,0 +1,66 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: CompexMathFunctions.c + * Description: Combination of all comlex math function source files. + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_cmplx_conj_f32.c" +#include "arm_cmplx_conj_q15.c" +#include "arm_cmplx_conj_q31.c" +#include "arm_cmplx_dot_prod_f32.c" +#include "arm_cmplx_dot_prod_q15.c" +#include "arm_cmplx_dot_prod_q31.c" +#include "arm_cmplx_mag_f32.c" +#include "arm_cmplx_mag_f64.c" + +#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) + #include "arm_cmplx_mag_q15.c" + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) + #include "arm_cmplx_mag_fast_q15.c" + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) + #include "arm_cmplx_mag_q31.c" + #endif +#else + #include "arm_cmplx_mag_q15.c" + #include "arm_cmplx_mag_fast_q15.c" + #include "arm_cmplx_mag_q31.c" +#endif + +#include "arm_cmplx_mag_squared_f32.c" +#include "arm_cmplx_mag_squared_f64.c" +#include "arm_cmplx_mag_squared_q15.c" +#include "arm_cmplx_mag_squared_q31.c" +#include "arm_cmplx_mult_cmplx_f32.c" +#include "arm_cmplx_mult_cmplx_f64.c" +#include "arm_cmplx_mult_cmplx_q15.c" +#include "arm_cmplx_mult_cmplx_q31.c" +#include "arm_cmplx_mult_real_f32.c" +#include "arm_cmplx_mult_real_q15.c" +#include "arm_cmplx_mult_real_q31.c" diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctionsF16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctionsF16.c new file mode 100644 index 00000000..d2c77842 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctionsF16.c @@ -0,0 +1,32 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: CompexMathFunctionsF16.c + * Description: Combination of all complex math function f16 source files. + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_cmplx_conj_f16.c" +#include "arm_cmplx_dot_prod_f16.c" +#include "arm_cmplx_mag_f16.c" +#include "arm_cmplx_mag_squared_f16.c" +#include "arm_cmplx_mult_cmplx_f16.c" +#include "arm_cmplx_mult_real_f16.c" diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f16.c new file mode 100644 index 00000000..05d7b97c --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f16.c @@ -0,0 +1,185 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_conj_f16.c + * Description: Floating-point complex conjugate + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/complex_math_functions_f16.h" + +#if defined(ARM_FLOAT16_SUPPORTED) +/** + @ingroup groupCmplxMath + */ + +/** + @defgroup cmplx_conj Complex Conjugate + + Conjugates the elements of a complex data vector. + + The
pSrc points to the source data and
+ pDst points to the destination data where the result should be written.
+ numSamples specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of 2*numSamples values.
+
+ The underlying algorithm is used:
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n) ] = pSrc[(2*n) ]; // real part
+ pDst[(2*n)+1] = -pSrc[(2*n)+1]; // imag part
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Floating-point complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_conj_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ static const float16_t cmplx_conj_sign[8] = { 1.0f, -1.0f, 1.0f, -1.0f, 1.0f, -1.0f, 1.0f, -1.0f };
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f16x8_t vecSrc;
+ f16x8_t vecSign;
+
+ /*
+ * load sign vector
+ */
+ vecSign = *(f16x8_t *) cmplx_conj_sign;
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld1q(pSrc);
+ vst1q(pDst,vmulq(vecSrc, vecSign));
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x7) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_conj_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_conj group
+ */
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
new file mode 100644
index 00000000..5920a778
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
@@ -0,0 +1,213 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_f32.c
+ * Description: Floating-point complex conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_conj Complex Conjugate
+
+ Conjugates the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the destination data where the result should be written.
+ numSamples specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of 2*numSamples values.
+
+ The underlying algorithm is used:
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n) ] = pSrc[(2*n) ]; // real part
+ pDst[(2*n)+1] = -pSrc[(2*n)+1]; // imag part
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Floating-point complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ static const float32_t cmplx_conj_sign[4] = { 1.0f, -1.0f, 1.0f, -1.0f };
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f32x4_t vecSrc;
+ f32x4_t vecSign;
+
+ /*
+ * load sign vector
+ */
+ vecSign = *(f32x4_t *) cmplx_conj_sign;
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld1q(pSrc);
+ vst1q(pDst,vmulq(vecSrc, vecSign));
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 4;
+ pDst += 4;
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x3) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_conj_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4_t zero;
+ float32x4x2_t vec;
+
+ zero = vdupq_n_f32(0.0f);
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0]+jC[1] = A[0]+(-1)*jA[1] */
+ /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+ vec = vld2q_f32(pSrc);
+ vec.val[1] = vsubq_f32(zero,vec.val[1]);
+ vst2q_f32(pDst,vec);
+
+ /* Increment pointers */
+ pSrc += 8;
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined (ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ *pDst++ = -*pSrc++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 00000000..c076eff6
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
@@ -0,0 +1,207 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q15.c
+ * Description: Q15 complex conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q15 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31_t in1;
+
+ q15x8x2_t vecSrc;
+ q15x8_t zero;
+
+ zero = vdupq_n_s16(0);
+
+ /* Compute 8 real samples at a time */
+ blkCnt = blockSize >> 4U;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]);
+ vst2q(pDst,vecSrc);
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 16;
+ pDst += 16;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0xF) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = __SSAT(-in1, 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_conj_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in1; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+ q31_t in2, in3, in4; /* Temporary input variables */
+#endif
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+
+ #if defined (ARM_MATH_DSP)
+ in1 = read_q15x2_ia ((q15_t **) &pSrc);
+ in2 = read_q15x2_ia ((q15_t **) &pSrc);
+ in3 = read_q15x2_ia ((q15_t **) &pSrc);
+ in4 = read_q15x2_ia ((q15_t **) &pSrc);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ in1 = __QASX(0, in1);
+ in2 = __QASX(0, in2);
+ in3 = __QASX(0, in3);
+ in4 = __QASX(0, in4);
+#else
+ in1 = __QSAX(0, in1);
+ in2 = __QSAX(0, in2);
+ in3 = __QSAX(0, in3);
+ in4 = __QSAX(0, in4);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
+ in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
+ in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
+ in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
+
+ write_q15x2_ia (&pDst, in1);
+ write_q15x2_ia (&pDst, in2);
+ write_q15x2_ia (&pDst, in3);
+ write_q15x2_ia (&pDst, in4);
+#else
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in1 = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __SSAT(-in1, 16);
+#else
+ *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 00000000..ec1b5b70
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
@@ -0,0 +1,193 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_conj_q31.c
+ * Description: Q31 complex conjugate
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_conj
+ @{
+ */
+
+/**
+ @brief Q31 complex conjugate.
+ @param[in] pSrc points to the input vector
+ @param[out] pDst points to the output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+
+ uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31x4x2_t vecSrc;
+ q31_t in; /* Temporary input variable */
+ q31x4_t zero;
+
+ zero = vdupq_n_s32(0);
+
+
+ /* Compute 4 real samples at a time */
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+
+ vecSrc = vld2q(pSrc);
+ vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]);
+ vst2q(pDst,vecSrc);
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrc += 8;
+ pDst += 8;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSize & 0x7) >> 1;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+ *pDst++ = __QSUB(0, in);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+
+}
+#else
+
+void arm_cmplx_conj_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+ /* Calculate Complex Conjugate and store result in destination buffer. */
+ *pDst++ = *pSrc++;
+ in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+ *pDst++ = __QSUB(0, in);
+#else
+ *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_conj group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f16.c
new file mode 100644
index 00000000..f75d04e8
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f16.c
@@ -0,0 +1,288 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_f16.c
+ * Description: Floating-point complex dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_dot_prod Complex Dot Product
+
+ Computes the dot product of two complex vectors.
+ The vectors are multiplied element-by-element and then summed.
+
+ The pSrcA points to the first complex input vector and
+ pSrcB points to the second complex input vector.
+ numSamples specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of 2*numSamples values.
+
+ The underlying algorithm is used:
+
+
+ realResult = 0;
+ imagResult = 0;
+ for (n = 0; n < numSamples; n++) {
+ realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Floating-point complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_dot_prod_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ uint32_t numSamples,
+ float16_t * realResult,
+ float16_t * imagResult)
+{
+ int32_t blkCnt;
+ float16_t real_sum, imag_sum;
+ f16x8_t vecSrcA, vecSrcB;
+ f16x8_t vec_acc = vdupq_n_f16(0.0f16);
+ f16x8_t vecSrcC, vecSrcD;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q( pSrcA);
+ vecSrcB = vld1q( pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ blkCnt -= 8;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+ vec_acc = vdupq_n_f16(0.0f16);
+
+ do {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 8;
+ pSrcB += 8;
+ blkCnt -= 8;
+ }
+ while (blkCnt > 0);
+ }
+
+ /* Sum the partial parts */
+ mve_cmplx_sum_intra_r_i_f16(vec_acc, real_sum, imag_sum);
+
+ /*
+ * Store the real and imaginary results in the destination buffers
+ */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+#else
+void arm_cmplx_dot_prod_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ uint32_t numSamples,
+ float16_t * realResult,
+ float16_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ _Float16 real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */
+ _Float16 a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 00000000..af60d32b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
@@ -0,0 +1,340 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_f32.c
+ * Description: Floating-point complex dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_dot_prod Complex Dot Product
+
+ Computes the dot product of two complex vectors.
+ The vectors are multiplied element-by-element and then summed.
+
+ The pSrcA points to the first complex input vector and
+ pSrcB points to the second complex input vector.
+ numSamples specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of 2*numSamples values.
+
+ The underlying algorithm is used:
+
+
+ realResult = 0;
+ imagResult = 0;
+ for (n = 0; n < numSamples; n++) {
+ realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Floating-point complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ int32_t blkCnt;
+ float32_t real_sum, imag_sum;
+ f32x4_t vecSrcA, vecSrcB;
+ f32x4_t vec_acc = vdupq_n_f32(0.0f);
+ f32x4_t vecSrcC, vecSrcD;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+ pSrcA += 4;
+ pSrcB += 4;
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+ blkCnt -= 4;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+ vec_acc = vdupq_n_f32(0.0f);
+
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt -= 4;
+ }
+ while (blkCnt > 0);
+ }
+
+ real_sum = vgetq_lane(vec_acc, 0) + vgetq_lane(vec_acc, 2);
+ imag_sum = vgetq_lane(vec_acc, 1) + vgetq_lane(vec_acc, 3);
+
+ /*
+ * Store the real and imaginary results in the destination buffers
+ */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+#else
+void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */
+ float32_t a0,b0,c0,d0;
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t vec1,vec2,vec3,vec4;
+ float32x4_t accR,accI;
+ float32x2_t accum = vdup_n_f32(0);
+
+ accR = vdupq_n_f32(0.0f);
+ accI = vdupq_n_f32(0.0f);
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = (A[0]+jA[1])*(B[0]+jB[1]) + ... */
+ /* Calculate dot product and then store the result in a temporary buffer. */
+
+ vec1 = vld2q_f32(pSrcA);
+ vec2 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec1.val[0],vec2.val[0]);
+ accR = vmlsq_f32(accR,vec1.val[1],vec2.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec1.val[1],vec2.val[0]);
+ accI = vmlaq_f32(accI,vec1.val[0],vec2.val[1]);
+
+ vec3 = vld2q_f32(pSrcA);
+ vec4 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec3.val[0],vec4.val[0]);
+ accR = vmlsq_f32(accR,vec3.val[1],vec4.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec3.val[1],vec4.val[0]);
+ accI = vmlaq_f32(accI,vec3.val[0],vec4.val[1]);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR), vget_high_f32(accR));
+ real_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI), vget_high_f32(accI));
+ imag_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* Tail */
+ blkCnt = numSamples & 0x7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 00000000..1910d8ad
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
@@ -0,0 +1,256 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q15.c
+ * Description: Processing function for the Q15 Complex Dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q15 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned her
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.
+ These are accumulated in a 64-bit accumulator with 34.30 precision.
+ As a final step, the accumulators are converted to 8.24 format.
+ The return results realResult and imagResult are in 8.24 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult)
+{
+ int32_t blkCnt;
+ q63_t accReal = 0LL;
+ q63_t accImag = 0LL;
+ q15x8_t vecSrcA, vecSrcB;
+ q15x8_t vecSrcC, vecSrcD;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0) {
+
+ accReal = vmlsldavaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ accImag = vmlaldavaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+
+ accReal = vmlsldavaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ accImag = vmlaldavaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ accReal = vmlsldavaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ accImag = vmlaldavaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ accReal = vmlsldavaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+
+ accImag = vmlaldavaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ do {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ accReal = vmlsldavaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vmlaldavaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ blkCnt -= 8;
+ }
+ while ((int32_t) blkCnt > 0);
+ } else {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ accReal = vmlsldavaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vmlaldavaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 8;
+ pSrcB += 8;
+ blkCnt -= 8;
+ }
+ }
+ *realResult = asrl(accReal, (14 - 8));
+ *imagResult = asrl(accImag, (14 - 8));
+}
+#else
+void arm_cmplx_dot_prod_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q15_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += (q31_t)a0 * c0;
+ imag_sum += (q31_t)a0 * d0;
+ real_sum -= (q31_t)b0 * d0;
+ imag_sum += (q31_t)b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 8.24 format */
+ /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+ *realResult = (q31_t) (real_sum >> 6);
+ /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+ *imagResult = (q31_t) (imag_sum >> 6);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 00000000..fac85bd0
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
@@ -0,0 +1,259 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_q31.c
+ * Description: Q31 complex dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Q31 complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.
+ The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.
+ Additions are nonsaturating and no overflow will occur as long as numSamples is less than 32768.
+ The return results realResult and imagResult are in 16.48 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult)
+{
+ int32_t blkCnt;
+ q63_t accReal = 0LL;
+ q63_t accImag = 0LL;
+ q31x4_t vecSrcA, vecSrcB;
+ q31x4_t vecSrcC, vecSrcD;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+
+ accReal = vrmlsldavhaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+
+ accReal = vrmlsldavhaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ accReal = vrmlsldavhaq(accReal, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ accReal = vrmlsldavhaq(accReal, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+
+ accImag = vrmlaldavhaxq(accImag, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ pSrcA += 4;
+ pSrcB += 4;
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ accReal = vrmlsldavhaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vrmlaldavhaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ blkCnt -= 4;
+ }
+ while ((int32_t) blkCnt > 0);
+ } else {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ accReal = vrmlsldavhaq_p(accReal, vecSrcA, vecSrcB, p);
+ accImag = vrmlaldavhaxq_p(accImag, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt -= 4;
+ }
+ }
+ *realResult = asrl(accReal, (14 - 8));
+ *imagResult = asrl(accImag, (14 - 8));
+
+}
+
+#else
+void arm_cmplx_dot_prod_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */
+ q31_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += ((q63_t)a0 * c0) >> 14;
+ imag_sum += ((q63_t)a0 * d0) >> 14;
+ real_sum -= ((q63_t)b0 * d0) >> 14;
+ imag_sum += ((q63_t)b0 * c0) >> 14;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in 16.48 format */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f16.c
new file mode 100644
index 00000000..c2f31989
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f16.c
@@ -0,0 +1,241 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f16.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the where the result should be written.
+ numSamples specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of 2*numSamples values;
+ the output array has a total of numSamples values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+void arm_cmplx_mag_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f16x8x2_t vecSrc;
+ f16x8_t sum;
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ q15x8_t newtonStartVec;
+ f16x8_t sumHalf, invSqrt;
+
+ vecSrc = vld2q(pSrc);
+ pSrc += 16;
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+
+ /*
+ * inlined Fast SQRT using inverse SQRT newton-raphson method
+ */
+
+ /* compute initial value */
+ newtonStartVec = vdupq_n_s16(INVSQRT_MAGIC_F16) - vshrq((q15x8_t) sum, 1);
+ sumHalf = sum * 0.5f;
+ /*
+ * compute 3 x iterations
+ *
+ * The more iterations, the more accuracy.
+ * If you need to trade a bit of accuracy for more performance,
+ * you can comment out the 3rd use of the macro.
+ */
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, (f16x8_t) newtonStartVec);
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, invSqrt);
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, invSqrt);
+ /*
+ * set negative values to 0
+ */
+ invSqrt = vdupq_m(invSqrt, (float16_t)0.0f, vcmpltq(invSqrt, (float16_t)0.0f));
+ /*
+ * sqrt(x) = x * invSqrt(x)
+ */
+ sum = vmulq(sum, invSqrt);
+ vstrhq_f16(pDst, sum);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ q15x8_t newtonStartVec;
+ f16x8_t sumHalf, invSqrt;
+
+ vecSrc = vld2q((float16_t const *)pSrc);
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+
+ /*
+ * inlined Fast SQRT using inverse SQRT newton-raphson method
+ */
+
+ /* compute initial value */
+ newtonStartVec = vdupq_n_s16(INVSQRT_MAGIC_F16) - vshrq((q15x8_t) sum, 1);
+ sumHalf = vmulq(sum, (float16_t)0.5);
+ /*
+ * compute 2 x iterations
+ */
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, (f16x8_t) newtonStartVec);
+ INVSQRT_NEWTON_MVE_F16(invSqrt, sumHalf, invSqrt);
+ /*
+ * set negative values to 0
+ */
+ invSqrt = vdupq_m(invSqrt, (float16_t)0.0, vcmpltq(invSqrt, (float16_t)0.0));
+ /*
+ * sqrt(x) = x * invSqrt(x)
+ */
+ sum = vmulq(sum, invSqrt);
+ vstrhq_p_f16(pDst, sum, p0);
+ }
+}
+
+#else
+void arm_cmplx_mag_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ _Float16 real, imag; /* Temporary variables to hold input values */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f16((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 00000000..aac6fba8
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
@@ -0,0 +1,273 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f32.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the where the result should be written.
+ numSamples specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of 2*numSamples values;
+ the output array has a total of numSamples values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_vec_math.h"
+#endif
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f32x4x2_t vecSrc;
+ f32x4_t sum;
+ float32_t real, imag; /* Temporary variables to hold input values */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t newtonStartVec;
+ f32x4_t sumHalf, invSqrt;
+
+ vecSrc = vld2q(pSrc);
+ pSrc += 8;
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+
+ /*
+ * inlined Fast SQRT using inverse SQRT newton-raphson method
+ */
+
+ /* compute initial value */
+ newtonStartVec = vdupq_n_s32(INVSQRT_MAGIC_F32) - vshrq((q31x4_t) sum, 1);
+ sumHalf = sum * 0.5f;
+ /*
+ * compute 3 x iterations
+ *
+ * The more iterations, the more accuracy.
+ * If you need to trade a bit of accuracy for more performance,
+ * you can comment out the 3rd use of the macro.
+ */
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, (f32x4_t) newtonStartVec);
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt);
+ INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt);
+ /*
+ * set negative values to 0
+ */
+ invSqrt = vdupq_m(invSqrt, 0.0f, vcmpltq(invSqrt, 0.0f));
+ /*
+ * sqrt(x) = x * invSqrt(x)
+ */
+ sum = vmulq(sum, invSqrt);
+ vst1q(pDst, sum);
+ pDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ float32_t real, imag; /* Temporary variables to hold input values */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqA));
+ pDst += 4;
+
+ vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqB));
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f64.c
new file mode 100644
index 00000000..c2bcd568
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f64.c
@@ -0,0 +1,100 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_f64.c
+ * Description: Floating-point complex magnitude
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag Complex Magnitude
+
+ Computes the magnitude of the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the where the result should be written.
+ numSamples specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of 2*numSamples values;
+ the output array has a total of numSamples values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+void arm_cmplx_mag_f64(
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* loop counter */
+ float64_t real, imag; /* Temporary variables to hold input values */
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = sqrt((real * real) + (imag * imag));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_fast_q15.c
new file mode 100644
index 00000000..eac2a143
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_fast_q15.c
@@ -0,0 +1,223 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_fast_q15.c
+ * Description: Q15 complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ Fast functions are less accurate. This function will tend to clamp to 0
+ the too small values. So sqrt(x*x) = x will not always be true.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_fast_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q15x8x2_t vecSrc;
+ q15x8_t sum;
+ q31_t in;
+ q31_t acc0;
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ pSrc += 16;
+ sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
+ vmulhq(vecSrc.val[1], vecSrc.val[1]));
+
+ sum = vshrq(sum, 1);
+
+ sum = FAST_VSQRT_Q15(sum);
+
+ vst1q(pDst, sum);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_fast_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia (&pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 00000000..e29a3d50
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
@@ -0,0 +1,221 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q15.c
+ * Description: Q15 complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q15x8x2_t vecSrc;
+ q15x8_t sum;
+ q31_t in;
+ q31_t acc0;
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ pSrc += 16;
+ sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
+ vmulhq(vecSrc.val[1], vecSrc.val[1]));
+
+ sum = vshrq(sum, 1);
+
+ sum = FAST_VSQRT_Q15(sum);
+
+ vst1q(pDst, sum);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 2.14 format in destination buffer. */
+ arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 00000000..57a72f5f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
@@ -0,0 +1,201 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_q31.c
+ * Description: Q31 complex magnitude
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+
+ q31x4x2_t vecSrc;
+ q31x4_t sum;
+
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+
+ sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]),
+ vmulhq(vecSrc.val[1], vecSrc.val[1]));
+
+ sum = vshrq(sum, 1);
+
+ /*
+
+ This function is using a table. There are compilations flags to avoid
+ including this table (and in this case, arm_cmplx_maq_q31 must not
+ be built and linked.)
+
+ */
+ sum = FAST_VSQRT_Q31(sum);
+
+ vst1q(pDst, sum);
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ pSrc += 8;
+ pDst += 4;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 2.30 format in destination buffer. */
+ arm_sqrt_q31(acc0 + acc1, pDst++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f16.c
new file mode 100644
index 00000000..5d5a3a24
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f16.c
@@ -0,0 +1,174 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f16.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag_squared Complex Magnitude Squared
+
+ Computes the magnitude squared of the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the where the result should be written.
+ numSamples specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of 2*numSamples values;
+ the output array has a total of numSamples values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ f16x8x2_t vecSrc;
+ f16x8_t sum;
+
+ /* Compute 4 complex samples at a time */
+ while (blockSize > 0)
+ {
+ mve_pred16_t p = vctp16q(blockSize);
+ vecSrc = vld2q(pSrc);
+ sum = vmulq_m(vuninitializedq_f16(),vecSrc.val[0], vecSrc.val[0],p);
+ sum = vfmaq_m(sum, vecSrc.val[1], vecSrc.val[1],p);
+ vstrhq_p_f16(pDst, sum,p);
+
+ pSrc += 16;
+ pDst += 8;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blockSize-= 8;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_f16(
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ _Float16 real, imag; /* Temporary input variables */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 00000000..861585f1
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
@@ -0,0 +1,235 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f32.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_mag_squared Complex Magnitude Squared
+
+ Computes the magnitude squared of the elements of a complex data vector.
+
+ The pSrc points to the source data and
+ pDst points to the where the result should be written.
+ numSamples specifies the number of complex samples
+ in the input array and the data is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The input array has a total of 2*numSamples values;
+ the output array has a total of numSamples values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ f32x4x2_t vecSrc;
+ f32x4_t sum;
+ float32_t real, imag; /* Temporary input variables */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ sum = vmulq(vecSrc.val[0], vecSrc.val[0]);
+ sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]);
+ vst1q(pDst, sum);
+
+ pSrc += 8;
+ pDst += 4;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_f32(
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real, imag; /* Temporary input variables */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t vecA;
+ float32x4_t vRealA;
+ float32x4_t vImagA;
+ float32x4_t vMagSqA;
+
+ float32x4x2_t vecB;
+ float32x4_t vRealB;
+ float32x4_t vImagB;
+ float32x4_t vMagSqB;
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* out = sqrt((real * real) + (imag * imag)) */
+
+ vecA = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+ vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+ vMagSqA = vaddq_f32(vRealA, vImagA);
+
+ vecB = vld2q_f32(pSrc);
+ pSrc += 8;
+
+ vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+ vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+ vMagSqB = vaddq_f32(vRealB, vImagB);
+
+ /* Store the result in the destination buffer. */
+ vst1q_f32(pDst, vMagSqA);
+ pDst += 4;
+
+ vst1q_f32(pDst, vMagSqB);
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ blkCnt = numSamples & 7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f64.c
new file mode 100644
index 00000000..fde0321e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f64.c
@@ -0,0 +1,76 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_f64.c
+ * Description: Floating-point complex magnitude squared
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Floating-point complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+void arm_cmplx_mag_squared_f64(
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float64_t real, imag; /* Temporary input variables */
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (real * real) + (imag * imag);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 00000000..42fc442e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
@@ -0,0 +1,221 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q15.c
+ * Description: Q15 complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q15 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+ q15x8x2_t vecSrc;
+ q15x8_t vReal, vImag;
+ q15x8_t vMagSq;
+
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]);
+ vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]);
+ vMagSq = vqaddq(vReal, vImag);
+ vMagSq = vshrq(vMagSq, 1);
+
+ vst1q(pDst, vMagSq);
+
+ pSrc += 16;
+ pDst += 8;
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ blkCnt --;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = blockSize & 7;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#else
+void arm_cmplx_mag_squared_q15(
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in;
+ q31_t acc0; /* Accumulators */
+#else
+ q15_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+ in = read_q15x2_ia ((q15_t **) &pSrc);
+ acc0 = __SMUAD(in, in);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (acc0 >> 17);
+#else
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = ((q31_t) real * real);
+ acc1 = ((q31_t) imag * imag);
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 00000000..4ccde36e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
@@ -0,0 +1,187 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mag_squared_q31.c
+ * Description: Q31 complex magnitude squared
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup cmplx_mag_squared
+ @{
+ */
+
+/**
+ @brief Q31 complex magnitude squared.
+ @param[in] pSrc points to input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blockSize = numSamples; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ q31x4x2_t vecSrc;
+ q31x4_t vReal, vImag;
+ q31x4_t vMagSq;
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+ /* Compute 4 complex samples at a time */
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ vecSrc = vld2q(pSrc);
+ vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]);
+ vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]);
+ vMagSq = vqaddq(vReal, vImag);
+ vMagSq = vshrq(vMagSq, 1);
+
+ vst1q(pDst, vMagSq);
+
+ pSrc += 8;
+ pDst += 4;
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 3;
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mag_squared_q31(
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t real, imag; /* Temporary input variables */
+ q31_t acc0, acc1; /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ /* store the result in 3.29 format in the destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+ real = *pSrc++;
+ imag = *pSrc++;
+ acc0 = (q31_t) (((q63_t) real * real) >> 33);
+ acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = acc0 + acc1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of cmplx_mag_squared group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f16.c
new file mode 100644
index 00000000..34094509
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f16.c
@@ -0,0 +1,271 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f16.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+
+ Multiplies a complex vector by another complex vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter numSamples represents the number of complex
+ samples processed. The complex arrays have a total of 2*numSamples
+ real values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_cmplx_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ f16x8_t vecSrcA, vecSrcB;
+ f16x8_t vecSrcC, vecSrcD;
+ f16x8_t vec_acc;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vst1q(pDst, vec_acc);
+ pDst += 8;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+ vec_acc = vcmulq_m(vuninitializedq_f16(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ vstrhq_p_f16(pDst, vec_acc, p);
+ pDst += 8;
+
+ blkCnt -= 8;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+
+ do {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_f16(pSrcA, p);
+ vecSrcB = vldrhq_z_f16(pSrcB, p);
+
+ vec_acc = vcmulq_m(vuninitializedq_f16(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+ vstrhq_p_f16(pDst, vec_acc, p);
+ pDst += 8;
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 8;
+ pSrcB += 8;
+ blkCnt -= 8;
+ }
+ while (blkCnt > 0);
+ }
+
+}
+
+
+#else
+void arm_cmplx_mult_cmplx_f16(
+ const float16_t * pSrcA,
+ const float16_t * pSrcB,
+ float16_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ _Float16 a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 00000000..5d2c66c4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
@@ -0,0 +1,305 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f32.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+
+ Multiplies a complex vector by another complex vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter numSamples represents the number of complex
+ samples processed. The complex arrays have a total of 2*numSamples
+ real values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ f32x4_t vecSrcA, vecSrcB;
+ f32x4_t vecSrcC, vecSrcD;
+ f32x4_t vec_acc;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmulq(vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+
+ vec_acc = vcmulq(vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vst1q(pDst, vec_acc);
+ pDst += 4;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+ vec_acc = vcmulq_m(vuninitializedq_f32(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ vstrwq_p_f32(pDst, vec_acc, p);
+ pDst += 4;
+
+ blkCnt -= 4;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+ vec_acc = vdupq_n_f32(0.0f);
+
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+
+ vec_acc = vcmulq_m(vuninitializedq_f32(),vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+ vstrwq_p_f32(pDst, vec_acc, p);
+ pDst += 4;
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt -= 4;
+ }
+ while (blkCnt > 0);
+ }
+
+}
+
+#else
+void arm_cmplx_mult_cmplx_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4x2_t va, vb;
+ float32x4x2_t outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ va = vld2q_f32(pSrcA); // load & separate real/imag pSrcA (de-interleave 2)
+ vb = vld2q_f32(pSrcB); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ outCplx.val[0] = vmulq_f32(va.val[0], vb.val[0]);
+ outCplx.val[0] = vmlsq_f32(outCplx.val[0], va.val[1], vb.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ outCplx.val[1] = vmulq_f32(va.val[0], vb.val[1]);
+ outCplx.val[1] = vmlaq_f32(outCplx.val[1], va.val[1], vb.val[0]);
+
+ vst2q_f32(pDst, outCplx);
+
+ /* Increment pointer */
+ pDst += 8;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f64.c
new file mode 100644
index 00000000..75a044c4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f64.c
@@ -0,0 +1,83 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_f64.c
+ * Description: Floating-point complex-by-complex multiplication
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+void arm_cmplx_mult_cmplx_f64(
+ const float64_t * pSrcA,
+ const float64_t * pSrcB,
+ float64_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float64_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in destination buffer. */
+ *pDst++ = (a * c) - (b * d);
+ *pDst++ = (a * d) + (b * c);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 00000000..53fbe58d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
@@ -0,0 +1,258 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q15.c
+ * Description: Q15 complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ q15x8_t vecSrcA, vecSrcB;
+ q15x8_t vecSrcC, vecSrcD;
+ q15x8_t vecDst;
+
+ blkCnt = (numSamples >> 3);
+ blkCnt -= 1;
+ if (blkCnt > 0)
+ {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 8;
+ pSrcB += 8;
+
+ while (blkCnt > 0)
+ {
+
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 8;
+
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 8;
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 8;
+
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 8;
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s16(), vecSrcC, vecSrcD);
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+
+ vstrhq_s16(pDst, vshrq(vecDst, 2));
+ pDst += 8;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 7);
+ do
+ {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ pSrcA += 8;
+ pSrcB += 8;
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s16(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s16(), vecDst, 2, p);
+ vstrhq_p_s16(pDst, vecDst, p);
+ pDst += 8;
+
+ blkCnt -= 8;
+ }
+ while ((int32_t) blkCnt > 0);
+ }
+ else
+ {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp16q(blkCnt);
+
+ vecSrcA = vldrhq_z_s16(pSrcA, p);
+ vecSrcB = vldrhq_z_s16(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s16(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s16(), vecDst, 2, p);
+ vstrhq_p_s16(pDst, vecDst, p);
+
+ pDst += 8;
+ pSrcA += 8;
+ pSrcB += 8;
+
+ blkCnt -= 8;
+ }
+ }
+}
+#else
+void arm_cmplx_mult_cmplx_q15(
+ const q15_t * pSrcA,
+ const q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.13 format in destination buffer. */
+ *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+ *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 00000000..7f945619
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
@@ -0,0 +1,253 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_cmplx_q31.c
+ * Description: Q31 complex-by-complex multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByCmplxMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-complex multiplication.
+ @param[in] pSrcA points to first input vector
+ @param[in] pSrcB points to second input vector
+ @param[out] pDst points to output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ Input down scaling is not required.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ int32_t blkCnt;
+ q31x4_t vecSrcA, vecSrcB;
+ q31x4_t vecSrcC, vecSrcD;
+ q31x4_t vecDst;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vecDst = vqdmladhxq(vecDst, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ vecDst = vqdmlsdhq(vuninitializedq_s32(), vecSrcC, vecSrcD);
+ vecDst = vqdmladhxq(vecDst, vecSrcC, vecSrcD);
+
+ vst1q(pDst, vshrq(vecDst, 2));
+ pDst += 4;
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ pSrcA += 4;
+ pSrcB += 4;
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s32(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s32(), vecDst, 2, p);
+ vstrwq_p_s32(pDst, vecDst, p);
+ pDst += 4;
+
+ blkCnt -= 4;
+ }
+ while ((int32_t) blkCnt > 0);
+ } else {
+ blkCnt = numSamples * CMPLX_DIM;
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_s32(pSrcA, p);
+ vecSrcB = vldrwq_z_s32(pSrcB, p);
+
+ vecDst = vqdmlsdhq_m(vuninitializedq_s32(), vecSrcA, vecSrcB, p);
+ vecDst = vqdmladhxq_m(vecDst, vecSrcA, vecSrcB, p);
+
+ vecDst = vshrq_m(vuninitializedq_s32(), vecDst, 2, p);
+ vstrwq_p_s32(pDst, vecDst, p);
+
+ pDst += 4;
+ pSrcA += 4;
+ pSrcB += 4;
+
+ blkCnt -= 4;
+ }
+ }
+}
+#else
+void arm_cmplx_mult_cmplx_q31(
+ const q31_t * pSrcA,
+ const q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t a, b, c, d; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ /* store result in 3.29 format in destination buffer. */
+ *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+ *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByCmplxMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f16.c
new file mode 100644
index 00000000..248858bc
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f16.c
@@ -0,0 +1,194 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_f16.c
+ * Description: Floating-point complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByRealMult Complex-by-Real Multiplication
+
+ Multiplies a complex vector by a real vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter numSamples represents the number of complex
+ samples processed. The complex arrays have a total of 2*numSamples
+ real values while the real array has a total of numSamples
+ real values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+ pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_real_f16(
+ const float16_t * pSrcCmplx,
+ const float16_t * pSrcReal,
+ float16_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ static const uint16_t stride_cmplx_x_real_16[8] = {
+ 0, 0, 1, 1, 2, 2, 3, 3
+ };
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f16x8_t rVec;
+ f16x8_t cmplxVec;
+ f16x8_t dstVec;
+ uint16x8_t strideVec;
+
+
+ /* stride vector for pairs of real generation */
+ strideVec = vld1q(stride_cmplx_x_real_16);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 3;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrhq_gather_shifted_offset_f16(pSrcReal, strideVec);
+ dstVec = vmulq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 4;
+ pSrcCmplx += 8;
+ pCmplxDst += 8;
+ blkCnt--;
+ }
+
+ blkCnt = blockSizeC & 7;
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrhq_gather_shifted_offset_f16(pSrcReal, strideVec);
+ dstVec = vmulq(cmplxVec, rVec);
+ vstrhq_p_f16(pCmplxDst, dstVec, p0);
+ }
+}
+
+#else
+void arm_cmplx_mult_real_f16(
+ const float16_t * pSrcCmplx,
+ const float16_t * pSrcReal,
+ float16_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float16_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++* in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 00000000..bc0f59b2
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
@@ -0,0 +1,224 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_f32.c
+ * Description: Floating-point complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup CmplxByRealMult Complex-by-Real Multiplication
+
+ Multiplies a complex vector by a real vector and generates a complex result.
+ The data in the complex arrays is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ The parameter numSamples represents the number of complex
+ samples processed. The complex arrays have a total of 2*numSamples
+ real values while the real array has a total of numSamples
+ real values.
+
+ The underlying algorithm is used:
+
+
+ for (n = 0; n < numSamples; n++) {
+ pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+ pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+ }
+
+
+ There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Floating-point complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ static const uint32_t stride_cmplx_x_real_32[4] = { 0, 0, 1, 1 };
+
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ f32x4_t rVec;
+ f32x4_t cmplxVec;
+ f32x4_t dstVec;
+ uint32x4_t strideVec;
+ float32_t in;
+
+
+ /* stride vector for pairs of real generation */
+ strideVec = vld1q(stride_cmplx_x_real_32);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 2;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrwq_gather_shifted_offset_f32(pSrcReal, strideVec);
+ dstVec = vmulq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 2;
+ pSrcCmplx += 4;
+ pCmplxDst += 4;
+ blkCnt--;
+ }
+
+ blkCnt = (blockSizeC & 3) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+
+#else
+void arm_cmplx_mult_real_f32(
+ const float32_t * pSrcCmplx,
+ const float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t in; /* Temporary variable */
+
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ float32x4_t r;
+ float32x4x2_t ab,outCplx;
+
+ /* Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ ab = vld2q_f32(pSrcCmplx); // load & separate real/imag pSrcA (de-interleave 2)
+ r = vld1q_f32(pSrcReal); // load & separate real/imag pSrcB
+
+ /* Increment pointers */
+ pSrcCmplx += 8;
+ pSrcReal += 4;
+
+ outCplx.val[0] = vmulq_f32(ab.val[0], r);
+ outCplx.val[1] = vmulq_f32(ab.val[1], r);
+
+ vst2q_f32(pCmplxDst, outCplx);
+ pCmplxDst += 8;
+
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = numSamples & 3;
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = *pSrcCmplx++* in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store result in destination buffer. */
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+ *pCmplxDst++ = *pSrcCmplx++ * in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 00000000..a43383b7
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
@@ -0,0 +1,238 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q15.c
+ * Description: Q15 complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q15 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ static const uint16_t stride_cmplx_x_real_16[8] = {
+ 0, 0, 1, 1, 2, 2, 3, 3
+ };
+ q15x8_t rVec;
+ q15x8_t cmplxVec;
+ q15x8_t dstVec;
+ uint16x8_t strideVec;
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q15_t in;
+
+ /*
+ * stride vector for pairs of real generation
+ */
+ strideVec = vld1q(stride_cmplx_x_real_16);
+
+ blkCnt = blockSizeC >> 3;
+
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrhq_gather_shifted_offset_s16(pSrcReal, strideVec);
+ dstVec = vqdmulhq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 4;
+ pSrcCmplx += 8;
+ pCmplxDst += 8;
+ blkCnt --;
+ }
+
+ /* Tail */
+ blkCnt = (blockSizeC & 7) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store the result in the destination buffer. */
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_real_q15(
+ const q15_t * pSrcCmplx,
+ const q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q15_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+ q31_t inA1, inA2; /* Temporary variables to hold input data */
+ q31_t inB1; /* Temporary variables to hold input data */
+ q15_t out1, out2, out3, out4; /* Temporary variables to hold output data */
+ q31_t mul1, mul2, mul3, mul4; /* Temporary variables to hold intermediate data */
+#endif
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 complex numbers both real and imaginary from complex input buffer */
+ inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ /* read 2 real values at a time from real input buffer */
+ inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+ /* multiply complex number with real numbers */
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* saturate the result */
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ /* pack real and imaginary outputs and store them to destination */
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+
+ inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+ inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+ mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+ mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+ mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+ mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+ mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+ out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+ out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+ out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+ write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+#else
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ in = *pSrcReal++;
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store the result in the destination buffer. */
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+ *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 00000000..de13757d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mult_real_q31.c
+ * Description: Q31 complex by real multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @addtogroup CmplxByRealMult
+ @{
+ */
+
+/**
+ @brief Q31 complex-by-real multiplication.
+ @param[in] pSrcCmplx points to complex input vector
+ @param[in] pSrcReal points to real input vector
+ @param[out] pCmplxDst points to complex output vector
+ @param[in] numSamples number of samples in each vector
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples)
+{
+
+ static const uint32_t stride_cmplx_x_real_32[4] = {
+ 0, 0, 1, 1
+ };
+ q31x4_t rVec;
+ q31x4_t cmplxVec;
+ q31x4_t dstVec;
+ uint32x4_t strideVec;
+ uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */
+ uint32_t blkCnt;
+ q31_t in;
+
+ /*
+ * stride vector for pairs of real generation
+ */
+ strideVec = vld1q(stride_cmplx_x_real_32);
+
+ /* Compute 4 complex outputs at a time */
+ blkCnt = blockSizeC >> 2;
+ while (blkCnt > 0U)
+ {
+ cmplxVec = vld1q(pSrcCmplx);
+ rVec = vldrwq_gather_shifted_offset_s32(pSrcReal, strideVec);
+ dstVec = vqdmulhq(cmplxVec, rVec);
+ vst1q(pCmplxDst, dstVec);
+
+ pSrcReal += 2;
+ pSrcCmplx += 4;
+ pCmplxDst += 4;
+ blkCnt --;
+ }
+
+ blkCnt = (blockSizeC & 3) >> 1;
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+}
+#else
+void arm_cmplx_mult_real_q31(
+ const q31_t * pSrcCmplx,
+ const q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples)
+{
+ uint32_t blkCnt; /* Loop counter */
+ q31_t in; /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C[2 * i ] = A[2 * i ] * B[i]. */
+ /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+ in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+ /* store saturated result in 1.31 format to destination buffer */
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+ *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+ /* store result in destination buffer. */
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+ *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of CmplxByRealMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt
new file mode 100644
index 00000000..12dedb4a
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt
@@ -0,0 +1,41 @@
+cmake_minimum_required (VERSION 3.14)
+
+project(CMSISDSPController)
+
+include(configLib)
+include(configDsp)
+
+add_library(CMSISDSPController STATIC)
+
+configLib(CMSISDSPController ${ROOT})
+configDsp(CMSISDSPController ${ROOT})
+
+include(interpol)
+interpol(CMSISDSPController)
+
+if (CONFIGTABLE AND ALLFAST)
+ target_compile_definitions(CMSISDSPController PUBLIC ARM_ALL_FAST_TABLES)
+endif()
+
+target_sources(CMSISDSPController PRIVATE arm_pid_init_f32.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_init_q15.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_init_q31.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_f32.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_q15.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_q31.c)
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_F32)
+target_sources(CMSISDSPController PRIVATE arm_sin_cos_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_Q31)
+target_sources(CMSISDSPController PRIVATE arm_sin_cos_q31.c)
+endif()
+
+
+
+### Includes
+target_include_directories(CMSISDSPController PUBLIC "${DSP}/Include")
+
+
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c
new file mode 100644
index 00000000..e406ac2e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c
@@ -0,0 +1,46 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: ControllerFunctions.c
+ * Description: Combination of all controller function source files.
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_pid_init_f32.c"
+#include "arm_pid_init_q15.c"
+#include "arm_pid_init_q31.c"
+#include "arm_pid_reset_f32.c"
+#include "arm_pid_reset_q15.c"
+#include "arm_pid_reset_q31.c"
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
+#include "arm_sin_cos_f32.c"
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
+#include "arm_sin_cos_q31.c"
+#endif
+
+#endif
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
new file mode 100644
index 00000000..384994bd
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
@@ -0,0 +1,75 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_init_f32.c
+ * Description: Floating-point PID Control initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point PID Control.
+ @param[in,out] S points to an instance of the PID structure
+ @param[in] resetStateFlag
+ - value = 0: no change in state
+ - value = 1: reset state
+ @return none
+
+ @par Details
+ The resetStateFlag specifies whether to set state to zero or not. \n
+ The function computes the structure fields: A0, A1 A2
+ using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_f32(
+ arm_pid_instance_f32 * S,
+ int32_t resetStateFlag)
+{
+ /* Derived coefficient A0 */
+ S->A0 = S->Kp + S->Ki + S->Kd;
+
+ /* Derived coefficient A1 */
+ S->A1 = (-S->Kp) - ((float32_t) 2.0f * S->Kd);
+
+ /* Derived coefficient A2 */
+ S->A2 = S->Kd;
+
+ /* Check whether state needs reset or not */
+ if (resetStateFlag)
+ {
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(float32_t));
+ }
+
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
new file mode 100644
index 00000000..e1f510b3
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_init_q15.c
+ * Description: Q15 PID Control initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 PID Control.
+ @param[in,out] S points to an instance of the Q15 PID structure
+ @param[in] resetStateFlag
+ - value = 0: no change in state
+ - value = 1: reset state
+ @return none
+
+ @par Details
+ The resetStateFlag specifies whether to set state to zero or not. \n
+ The function computes the structure fields: A0, A1 A2
+ using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q15(
+ arm_pid_instance_q15 * S,
+ int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ /* Derived coefficient A0 */
+ S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd);
+
+ /* Derived coefficients and pack into A1 */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16);
+#else
+ S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16);
+#endif
+
+#else
+
+ q31_t temp; /* to store the sum */
+
+ /* Derived coefficient A0 */
+ temp = S->Kp + S->Ki + S->Kd;
+ S->A0 = (q15_t) __SSAT(temp, 16);
+
+ /* Derived coefficients and pack into A1 */
+ temp = -(S->Kd + S->Kd + S->Kp);
+ S->A1 = (q15_t) __SSAT(temp, 16);
+ S->A2 = S->Kd;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Check whether state needs reset or not */
+ if (resetStateFlag)
+ {
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q15_t));
+ }
+
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
new file mode 100644
index 00000000..53df5ee5
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_init_q31.c
+ * Description: Q31 PID Control initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 PID Control.
+ @param[in,out] S points to an instance of the Q31 PID structure
+ @param[in] resetStateFlag
+ - value = 0: no change in state
+ - value = 1: reset state
+ @return none
+
+ @par Details
+ The resetStateFlag specifies whether to set state to zero or not. \n
+ The function computes the structure fields: A0, A1 A2
+ using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q31(
+ arm_pid_instance_q31 * S,
+ int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ /* Derived coefficient A0 */
+ S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd);
+
+ /* Derived coefficient A1 */
+ S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp);
+
+#else
+
+ q31_t temp; /* to store the sum */
+
+ /* Derived coefficient A0 */
+ temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki);
+ S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd);
+
+ /* Derived coefficient A1 */
+ temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd);
+ S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Derived coefficient A2 */
+ S->A2 = S->Kd;
+
+ /* Check whether state needs reset or not */
+ if (resetStateFlag)
+ {
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q31_t));
+ }
+
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
new file mode 100644
index 00000000..cb267adb
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_reset_f32.c
+ * Description: Floating-point PID Control reset function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Reset function for the floating-point PID Control.
+ @param[in,out] S points to an instance of the floating-point PID structure
+ @return none
+
+ @par Details
+ The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_f32(
+ arm_pid_instance_f32 * S)
+{
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(float32_t));
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
new file mode 100644
index 00000000..aa4076ec
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_reset_q15.c
+ * Description: Q15 PID Control reset function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Reset function for the Q15 PID Control.
+ @param[in,out] S points to an instance of the Q15 PID structure
+ @return none
+
+ @par Details
+ The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_q15(
+ arm_pid_instance_q15 * S)
+{
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q15_t));
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
new file mode 100644
index 00000000..3e9c39fe
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_pid_reset_q31.c
+ * Description: Q31 PID Control reset function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+
+/**
+ @addtogroup PID
+ @{
+ */
+
+/**
+ @brief Reset function for the Q31 PID Control.
+ @param[in,out] S points to an instance of the Q31 PID structure
+ @return none
+
+ @par Details
+ The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_q31(
+ arm_pid_instance_q31 * S)
+{
+ /* Reset state to zero, The size will be always 3 samples */
+ memset(S->state, 0, 3U * sizeof(q31_t));
+}
+
+/**
+ @} end of PID group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
new file mode 100644
index 00000000..e6d9d90f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_sin_cos_f32.c
+ * Description: Sine and Cosine calculation for floating-point values
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupController
+ */
+
+/**
+ @defgroup SinCos Sine Cosine
+
+ Computes the trigonometric sine and cosine values using a combination of table lookup
+ and linear interpolation.
+ There are separate functions for Q31 and floating-point data types.
+ The input to the floating-point version is in degrees while the
+ fixed-point Q31 have a scaled input with the range
+ [-1 0.9999] mapping to [-180 +180] degrees.
+
+ The floating point function also allows values that are out of the usual range. When this happens, the function will
+ take extra time to adjust the input value to the range of [-180 180].
+
+ The result is accurate to 5 digits after the decimal point.
+
+ The implementation is based on table lookup using 360 values together with linear interpolation.
+ The steps used are:
+ -# Calculation of the nearest integer table index.
+ -# Compute the fractional portion (fract) of the input.
+ -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.
+ -# Sine value is computed as *psinVal = y0 + (fract * (y1 - y0)).
+ -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.
+ -# Cosine value is computed as *pcosVal = y0 + (fract * (y1 - y0)).
+ */
+
+/**
+ @addtogroup SinCos
+ @{
+ */
+
+/**
+ @brief Floating-point sin_cos function.
+ @param[in] theta input value in degrees
+ @param[out] pSinVal points to processed sine output
+ @param[out] pCosVal points to processed cosine output
+ @return none
+ */
+
+void arm_sin_cos_f32(
+ float32_t theta,
+ float32_t * pSinVal,
+ float32_t * pCosVal)
+{
+ float32_t fract, in; /* Temporary input, output variables */
+ uint16_t indexS, indexC; /* Index variable */
+ float32_t f1, f2, d1, d2; /* Two nearest output values */
+ float32_t Dn, Df;
+ float32_t temp, findex;
+
+ /* input x is in degrees */
+ /* Scale input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
+ in = theta * 0.00277777777778f;
+
+ if (in < 0.0f)
+ {
+ in = -in;
+ }
+
+ in = in - (int32_t)in;
+
+ /* Calculate the nearest index */
+ findex = (float32_t)FAST_MATH_TABLE_SIZE * in;
+ indexS = ((uint16_t)findex) & 0x1ff;
+ indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
+
+ /* Calculation of fractional value */
+ fract = findex - (float32_t) indexS;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_f32[indexC ];
+ f2 = sinTable_f32[indexC+1];
+ d1 = -sinTable_f32[indexS ];
+ d2 = -sinTable_f32[indexS+1];
+
+ temp = (1.0f - fract) * f1 + fract * f2;
+
+ Dn = 0.0122718463030f; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */
+ Df = f2 - f1; /* delta between the values of the functions */
+
+ temp = Dn * (d1 + d2) - 2 * Df;
+ temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
+ temp = fract * temp + d1 * Dn;
+
+ /* Calculation of cosine value */
+ *pCosVal = fract * temp + f1;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_f32[indexS ];
+ f2 = sinTable_f32[indexS+1];
+ d1 = sinTable_f32[indexC ];
+ d2 = sinTable_f32[indexC+1];
+
+ temp = (1.0f - fract) * f1 + fract * f2;
+
+ Df = f2 - f1; // delta between the values of the functions
+ temp = Dn * (d1 + d2) - 2 * Df;
+ temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
+ temp = fract * temp + d1 * Dn;
+
+ /* Calculation of sine value */
+ *pSinVal = fract * temp + f1;
+
+ if (theta < 0.0f)
+ {
+ *pSinVal = -*pSinVal;
+ }
+}
+
+/**
+ @} end of SinCos group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
new file mode 100644
index 00000000..990c891d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_sin_cos_q31.c
+ * Description: Cosine & Sine calculation for Q31 values
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/controller_functions.h"
+#include "arm_common_tables.h"
+
+/**
+ @ingroup groupController
+ */
+
+/**
+ @addtogroup SinCos
+ @{
+ */
+
+/**
+ @brief Q31 sin_cos function.
+ @param[in] theta scaled input value in degrees
+ @param[out] pSinVal points to processed sine output
+ @param[out] pCosVal points to processed cosine output
+ @return none
+
+ The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
+ */
+
+void arm_sin_cos_q31(
+ q31_t theta,
+ q31_t * pSinVal,
+ q31_t * pCosVal)
+{
+ q31_t fract; /* Temporary input, output variables */
+ uint16_t indexS, indexC; /* Index variable */
+ q31_t f1, f2, d1, d2; /* Two nearest output values */
+ q31_t Dn, Df;
+ q63_t temp;
+
+ /* Calculate the nearest index */
+ indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
+ indexC = (indexS + 128) & 0x1ff;
+
+ /* Calculation of fractional value */
+ fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_q31[indexC ];
+ f2 = sinTable_q31[indexC+1];
+ d1 = -sinTable_q31[indexS ];
+ d2 = -sinTable_q31[indexS+1];
+
+ Dn = 0x1921FB5; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */
+ Df = f2 - f1; /* delta between the values of the functions */
+
+ temp = Dn * ((q63_t)d1 + d2);
+ temp = temp - ((q63_t)Df << 32);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + (q63_t)d1 * Dn;
+ temp = (q63_t)fract * (temp >> 31);
+
+ /* Calculation of cosine value */
+ *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+
+ /* Read two nearest values of input value from the cos & sin tables */
+ f1 = sinTable_q31[indexS ];
+ f2 = sinTable_q31[indexS+1];
+ d1 = sinTable_q31[indexC ];
+ d2 = sinTable_q31[indexC+1];
+
+ Df = f2 - f1; // delta between the values of the functions
+ temp = Dn * ((q63_t)d1 + d2);
+ temp = temp - ((q63_t)Df << 32);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+ temp = (q63_t)fract * (temp >> 31);
+ temp = temp + (q63_t)d1 * Dn;
+ temp = (q63_t)fract * (temp >> 31);
+
+ /* Calculation of sine value */
+ *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+}
+
+/**
+ @} end of SinCos group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/CMakeLists.txt b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/CMakeLists.txt
new file mode 100644
index 00000000..0cfd1c9f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/CMakeLists.txt
@@ -0,0 +1,56 @@
+cmake_minimum_required (VERSION 3.14)
+
+project(CMSISDSPDistance)
+
+include(configLib)
+include(configDsp)
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPDistance STATIC)
+
+target_sources(CMSISDSPDistance PRIVATE arm_boolean_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_braycurtis_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_canberra_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_chebyshev_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_chebyshev_distance_f64.c)
+target_sources(CMSISDSPDistance PRIVATE arm_cityblock_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_cityblock_distance_f64.c)
+target_sources(CMSISDSPDistance PRIVATE arm_correlation_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_cosine_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_cosine_distance_f64.c)
+target_sources(CMSISDSPDistance PRIVATE arm_dice_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_euclidean_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_euclidean_distance_f64.c)
+target_sources(CMSISDSPDistance PRIVATE arm_hamming_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_jaccard_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_jensenshannon_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_kulsinski_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_minkowski_distance_f32.c)
+target_sources(CMSISDSPDistance PRIVATE arm_rogerstanimoto_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_russellrao_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_sokalmichener_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_sokalsneath_distance.c)
+target_sources(CMSISDSPDistance PRIVATE arm_yule_distance.c)
+
+
+configLib(CMSISDSPDistance ${ROOT})
+configDsp(CMSISDSPDistance ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPDistance PUBLIC "${DSP}/Include")
+target_include_directories(CMSISDSPDistance PRIVATE ".")
+
+if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16))
+target_sources(CMSISDSPDistance PRIVATE arm_braycurtis_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_canberra_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_chebyshev_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_cityblock_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_correlation_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_cosine_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_euclidean_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_jensenshannon_distance_f16.c)
+target_sources(CMSISDSPDistance PRIVATE arm_minkowski_distance_f16.c)
+endif()
+
+
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctions.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctions.c
new file mode 100644
index 00000000..0abcbc5f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctions.c
@@ -0,0 +1,51 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: BayesFunctions.c
+ * Description: Combination of all distance function source files.
+ *
+ * $Date: 16. March 2020
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_boolean_distance.c"
+#include "arm_braycurtis_distance_f32.c"
+#include "arm_canberra_distance_f32.c"
+#include "arm_chebyshev_distance_f32.c"
+#include "arm_chebyshev_distance_f64.c"
+#include "arm_cityblock_distance_f32.c"
+#include "arm_cityblock_distance_f64.c"
+#include "arm_correlation_distance_f32.c"
+#include "arm_cosine_distance_f32.c"
+#include "arm_cosine_distance_f64.c"
+#include "arm_dice_distance.c"
+#include "arm_euclidean_distance_f32.c"
+#include "arm_euclidean_distance_f64.c"
+#include "arm_hamming_distance.c"
+#include "arm_jaccard_distance.c"
+#include "arm_jensenshannon_distance_f32.c"
+#include "arm_kulsinski_distance.c"
+#include "arm_minkowski_distance_f32.c"
+#include "arm_rogerstanimoto_distance.c"
+#include "arm_russellrao_distance.c"
+#include "arm_sokalmichener_distance.c"
+#include "arm_sokalsneath_distance.c"
+#include "arm_yule_distance.c"
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctionsF16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctionsF16.c
new file mode 100644
index 00000000..a0be2d44
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/DistanceFunctionsF16.c
@@ -0,0 +1,36 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: DistanceFunctions.c
+ * Description: Combination of all distance function f16 source files.
+ *
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_braycurtis_distance_f16.c"
+#include "arm_canberra_distance_f16.c"
+#include "arm_chebyshev_distance_f16.c"
+#include "arm_cityblock_distance_f16.c"
+#include "arm_correlation_distance_f16.c"
+#include "arm_cosine_distance_f16.c"
+#include "arm_euclidean_distance_f16.c"
+#include "arm_jensenshannon_distance_f16.c"
+#include "arm_minkowski_distance_f16.c"
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/arm_boolean_distance.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/arm_boolean_distance.c
new file mode 100644
index 00000000..57873b1e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/DistanceFunctions/arm_boolean_distance.c
@@ -0,0 +1,80 @@
+
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_svm_linear_init_f32.c
+ * Description: SVM Linear Instance Initialization
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/distance_functions.h"
+#include (1.0f-fract)*a + fract*b;
+
+ where
+ + a = Table[index]; + b = Table[index+1]; ++ */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for floating-point data. + @param[in] x input value in radians + @return cos(x) + */ +float32_t arm_cos_f32( + float32_t x) +{ + float32_t cosVal, fract, in; /* Temporary input, output variables */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */ + in = x * 0.159154943092f + 0.25f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t)FAST_MATH_TABLE_SIZE * in; + index = (uint16_t)findex; + + /* when "in" is exactly 1, we need to rotate the index down to 0 */ + if (index >= FAST_MATH_TABLE_SIZE) { + index = 0; + findex -= (float32_t)FAST_MATH_TABLE_SIZE; + } + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the cos table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + cosVal = (1.0f - fract) * a + fract * b; + + /* Return output value */ + return (cosVal); +} + +/** + @} end of cos group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c new file mode 100644 index 00000000..6b552f11 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q15.c + * Description: Fast cosine calculation for Q15 values + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for Q15 data. + @param[in] x Scaled input value in radians + @return cos(x) + + The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q15_t arm_cos_q15( + q15_t x) +{ + q15_t cosVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q15_t a, b; /* Two nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint16_t)x + 0x2000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint16_t)x + 0x8000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + cosVal = (q31_t) (0x8000 - fract) * a >> 16; + cosVal = (q15_t) ((((q31_t) cosVal << 16) + ((q31_t) fract * b)) >> 16); + + /* Return output value */ + return (cosVal << 1); +} + +/** + @} end of cos group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c new file mode 100644 index 00000000..8386c8f2 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q31.c + * Description: Fast cosine calculation for Q31 values + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for Q31 data. + @param[in] x Scaled input value in radians + @return cos(x) + + The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q31_t arm_cos_q31( + q31_t x) +{ + q31_t cosVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q31_t a, b; /* Two nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint32_t)x + 0x20000000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint32_t)x + 0x80000000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + cosVal = (q63_t) (0x80000000 - fract) * a >> 32; + cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) fract * b)) >> 32); + + /* Return output value */ + return (cosVal << 1); +} + +/** + @} end of cos group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_divide_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_divide_q15.c new file mode 100644 index 00000000..9c26e06e --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_divide_q15.c @@ -0,0 +1,110 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q15.c + * Description: Fast cosine calculation for Q15 values + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +#include
(1.0f-fract)*a + fract*b;
+
+ where
+ + b = Table[index]; + c = Table[index+1]; ++ */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for floating-point data. + @param[in] x input value in radians. + @return sin(x) + */ + +float32_t arm_sin_f32( + float32_t x) +{ + float32_t sinVal, fract, in; /* Temporary input, output variables */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi */ + in = x * 0.159154943092f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t)FAST_MATH_TABLE_SIZE * in; + index = (uint16_t)findex; + + /* when "in" is exactly 1, we need to rotate the index down to 0 */ + if (index >= FAST_MATH_TABLE_SIZE) { + index = 0; + findex -= (float32_t)FAST_MATH_TABLE_SIZE; + } + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + sinVal = (1.0f - fract) * a + fract * b; + + /* Return output value */ + return (sinVal); +} + +/** + @} end of sin group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c new file mode 100644 index 00000000..81f0d627 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c @@ -0,0 +1,83 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q15.c + * Description: Fast sine calculation for Q15 values + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for Q15 data. + @param[in] x Scaled input value in radians + @return sin(x) + + The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q15_t arm_sin_q15( + q15_t x) +{ + q15_t sinVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q15_t a, b; /* Two nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint16_t)x + 0x8000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + sinVal = (q31_t) (0x8000 - fract) * a >> 16; + sinVal = (q15_t) ((((q31_t) sinVal << 16) + ((q31_t) fract * b)) >> 16); + + /* Return output value */ + return (sinVal << 1); +} + +/** + @} end of sin group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c new file mode 100644 index 00000000..06262fd5 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c @@ -0,0 +1,82 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q31.c + * Description: Fast sine calculation for Q31 values + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for Q31 data. + @param[in] x Scaled input value in radians + @return sin(x) + + The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q31_t arm_sin_q31( + q31_t x) +{ + q31_t sinVal; /* Temporary variables for input, output */ + int32_t index; /* Index variable */ + q31_t a, b; /* Two nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint32_t)x + 0x80000000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + sinVal = (q63_t) (0x80000000 - fract) * a >> 32; + sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) fract * b)) >> 32); + + /* Return output value */ + return (sinVal << 1); +} + +/** + @} end of sin group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c new file mode 100644 index 00000000..defeebe8 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c @@ -0,0 +1,123 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q15.c + * Description: Q15 square root function + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup SQRT + @{ + */ + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ + +#define Q12QUARTER 0x2000 +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut) +{ + q15_t number, var1, signBits1,temp; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 17; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + /* Start value for 1/sqrt(x) for the Newton iteration */ + var1 = sqrt_initial_lut_q15[(number>> 11) - (Q12QUARTER >> 11)]; + + /* 0.5 var1 * (3 - number * var1 * var1) */ + /* 1st iteration */ + + temp = ((q31_t) var1 * var1) >> 12; + temp = ((q31_t) number * temp) >> 15; + temp = 0x3000 - temp; + var1 = ((q31_t) var1 * temp) >> 13; + + temp = ((q31_t) var1 * var1) >> 12; + temp = ((q31_t) number * temp) >> 15; + temp = 0x3000 - temp; + var1 = ((q31_t) var1 * temp) >> 13; + + temp = ((q31_t) var1 * var1) >> 12; + temp = ((q31_t) number * temp) >> 15; + temp = 0x3000 - temp; + var1 = ((q31_t) var1 * temp) >> 13; + + /* Multiply the inverse square root with the original value */ + + var1 = ((q15_t) (((q31_t) number * var1) >> 12)); + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + @} end of SQRT group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c new file mode 100644 index 00000000..8747670d --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c @@ -0,0 +1,126 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q31.c + * Description: Q31 square root function + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup SQRT + @{ + */ + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +#define Q28QUARTER 0x20000000 + +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut) +{ + q31_t number, var1, signBits1 ,temp; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 1; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Start value for 1/sqrt(x) for the Newton iteration */ + var1 = sqrt_initial_lut_q31[(number>> 26) - (Q28QUARTER >> 26)]; + + /* 0.5 var1 * (3 - number * var1 * var1) */ + + /* 1st iteration */ + + temp = ((q63_t) var1 * var1) >> 28; + temp = ((q63_t) number * temp) >> 31; + temp = 0x30000000 - temp; + var1 = ((q63_t) var1 * temp) >> 29; + + + /* 2nd iteration */ + temp = ((q63_t) var1 * var1) >> 28; + temp = ((q63_t) number * temp) >> 31; + temp = 0x30000000 - temp; + var1 = ((q63_t) var1 * temp) >> 29; + + /* 3nd iteration */ + temp = ((q63_t) var1 * var1) >> 28; + temp = ((q63_t) number * temp) >> 31; + temp = 0x30000000 - temp; + var1 = ((q63_t) var1 * temp) >> 29; + + /* Multiply the inverse square root with the original value */ + var1 = ((q31_t) (((q63_t) number * var1) >> 28)); + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + @} end of SQRT group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f16.c new file mode 100644 index 00000000..dd7c06ee --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f16.c @@ -0,0 +1,82 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f16.c + * Description: Fast vectorized log + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions_f16.h" + +#if defined(ARM_FLOAT16_SUPPORTED) + +#include "arm_common_tables.h" + +#include "arm_vec_math_f16.h" + + +void arm_vexp_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + + f16x8_t src; + f16x8_t dst; + + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + src = vld1q(pSrc); + dst = vexpq_f16(src); + vst1q(pDst, dst); + + pSrc += 8; + pDst += 8; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 7; +#else + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + /* C = log(A) */ + + /* Calculate log and store result in destination buffer. */ + *pDst++ = (_Float16)expf((float32_t)*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } +} + +#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f32.c new file mode 100644 index 00000000..43b2a86d --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f32.c @@ -0,0 +1,97 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f32.c + * Description: Fast vectorized log + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM) || defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_vec_math.h" +#endif + +void arm_vexp_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q(pSrc); + dst = vexpq_f32(src); + vst1q(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q_f32(pSrc); + dst = vexpq_f32(src); + vst1q_f32(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else + blkCnt = blockSize; +#endif +#endif + + while (blkCnt > 0U) + { + /* C = log(A) */ + + /* Calculate log and store result in destination buffer. */ + *pDst++ = expf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } +} diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f64.c new file mode 100644 index 00000000..76f80ff5 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vexp_f64.c @@ -0,0 +1,51 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f64.c + * Description: Fast vectorized log + * + * $Date: 13 September 2021 + * $Revision: V1.10.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions.h" +#include "arm_common_tables.h" + +void arm_vexp_f64( + const float64_t * pSrc, + float64_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = log(A) */ + + /* Calculate log and store result in destination buffer. */ + *pDst++ = exp(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } +} diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vinverse_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vinverse_f16.c new file mode 100644 index 00000000..1067d02f --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vinverse_f16.c @@ -0,0 +1,79 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vinverse_f16.c + * Description: Fast vectorized inverse + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions_f16.h" + +#if defined(ARM_FLOAT16_SUPPORTED) + +#include "arm_common_tables.h" + +#include "arm_vec_math_f16.h" + +void arm_vinverse_f16( + const float16_t * pSrc, + float16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + +#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) + + f16x8_t src; + f16x8_t dst; + + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + src = vld1q(pSrc); + dst = vrecip_hiprec_f16(src); + vst1q(pDst, dst); + + pSrc += 8; + pDst += 8; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 7; +#else + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + + *pDst++ = 1.0f16 / (_Float16)*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vlog_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vlog_f16.c new file mode 100644 index 00000000..0821d5ab --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_vlog_f16.c @@ -0,0 +1,222 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f16.c + * Description: Fast vectorized log + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/fast_math_functions_f16.h" +#include "dsp/support_functions_f16.h" + +#if defined(ARM_FLOAT16_SUPPORTED) + +/* Degree of the polynomial approximation */ +#define NB_DEG_LOGF16 3 + +/* +Related to the Log2 of the number of approximations. +For instance, with 3 there are 1 + 2^3 polynomials +*/ +#define NB_DIV_LOGF16 3 + +/* Length of the LUT table */ +#define NB_LUT_LOGF16 (NB_DEG_LOGF16+1)*(1 + (1<
pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState points to state variables array and size of each state variable is 1.63 format.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the state array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cas_df1_32x64_init_q31(
+ arm_biquad_cas_df1_32x64_ins_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q63_t * pState,
+ uint8_t postShift)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign postShift to be applied to the output */
+ S->postShift = postShift;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q63_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF1_32x64 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
new file mode 100644
index 00000000..2c8c911b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
@@ -0,0 +1,807 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_32x64_q31.c
+ * Description: High precision Q31 Biquad cascade filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter
+
+ This function implements a high precision Biquad cascade filter which operates on
+ Q31 data values. The filter coefficients are in 1.31 format and the state variables
+ are in 1.63 format. The double precision state variables reduce quantization noise
+ in the filter and provide a cleaner output.
+ These filters are particularly useful when implementing filters in which the
+ singularities are close to the unit circle. This is common for low pass or high
+ pass filters with very low cutoff frequencies.
+
+ The function operates on blocks of input and output data
+ and each call to the function processes blockSize samples through
+ the filter. pSrc and pDst points to input and output arrays
+ containing blockSize Q31 values.
+
+ @par Algorithm
+ Each Biquad stage implements a second order filter using the difference equation:
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] ++ A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + \image html Biquad.gif "Single Biquad filter stage" + Coefficients
b0, b1 and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients.
+ Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.
+ Pay careful attention to the sign of the feedback coefficients.
+ Some design tools use the difference equation
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2] ++ In this case the feedback coefficients
a1 and a2 must be negated when used with the CMSIS DSP Library.
+ @par
+ Higher order filters are realized as a cascade of second order sections.
+ numStages refers to the number of second order stages used.
+ For example, an 8th order filter would be realized with numStages=4 second order stages.
+ \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
+ A 9th order filter would be realized with numStages=5 second order stages
+ with the coefficients for one of the stages configured as a first order filter
+ (b2=0 and a2=0).
+ @par
+ The pState points to state variables array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2] and each state variable in 1.63 format to improve precision.
+ The state variables are arranged in the array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ @par
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values of data in 1.63 format.
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+
+ @par Init Function
+ There is also an associated initialization function which performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero.
+
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ For example, to statically initialize the filter instance structure use
+
+ arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};
+
+ where numStages is the number of Biquad stages in the filter;
+ pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer;
+ postShift shift to be applied which is described in detail below.
+ @par Fixed-Point Behavior
+ Care must be taken while using Biquad Cascade 32x64 filter function.
+ Following issues must be considered:
+ - Scaling of coefficients
+ - Filter gain
+ - Overflow and saturation
+
+ @par
+ Filter coefficients are represented as fractional values and
+ restricted to lie in the range [-1 +1).
+ The processing function has an additional scaling parameter postShift
+ which allows the filter coefficients to exceed the range [+1 -1).
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
+ This essentially scales the filter coefficients by 2^postShift.
+ For example, to realize the coefficients
+
+ {1.5, -0.8, 1.2, 1.6, -0.9}
+
+ set the Coefficient array to:
+
+ {0.75, -0.4, 0.6, 0.8, -0.45}
+
+ and set postShift=1
+ @par
+ The second thing to keep in mind is the gain through the filter.
+ The frequency response of a Biquad filter is a function of its coefficients.
+ It is possible for the gain through the filter to exceed 1.0 meaning that the
+ filter increases the amplitude of certain frequencies.
+ This means that an input signal with amplitude < 1.0 may result in an output > 1.0
+ and these are saturated or overflowed based on the implementation of the filter.
+ To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0
+ or the input signal must be scaled down so that the combination of input and filter are never overflowed.
+ @par
+ The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version.
+ This is described in the function specific documentation below.
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1_32x64
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 Biquad cascade 32x64 filter.
+ @param[in] S points to an instance of the high precision Q31 Biquad cascade filter
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Details
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).
+ After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to
+ 1.31 format by discarding the low 32 bits.
+ @par
+ Two related functions are provided in the CMSIS DSP library.
+ - \ref arm_biquad_cascade_df1_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator.
+ - \ref arm_biquad_cascade_df1_fast_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+static void arm_biquad_cas_df1_32x64_q31_scalar(const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* input pointer initialization */
+ q31_t *pOut = pDst; /* output pointer initialization */
+ q63_t *pState = S->pState; /* state pointer initialization */
+ const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q63_t acc; /* accumulator */
+ q31_t Xn1, Xn2; /* Input Filter state variables */
+ q63_t Yn1, Yn2; /* Output Filter state variables */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q31_t Xn; /* temporary input */
+ int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ q31_t acc_l, acc_h; /* temporary output */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the state values */
+ Xn1 = (q31_t) (pState[0]);
+ Xn2 = (q31_t) (pState[1]);
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn * b0;
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn1 * b1;
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn2 * b2;
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn1, a1);
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn2, a2);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+
+ /* The result is converted to 1.63, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *pOut++ = acc_h;
+ /* Yn1 = acc << shift; */
+
+ /* Store the output in the destination buffer in 1.31 format. */
+/* *pOut++ = (q31_t) (acc >> (32 - shift)); */
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* The first stage output is given as input to the second stage. */
+ pIn = pDst;
+
+ /* Reset to destination buffer working pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = (q63_t) Xn1;
+ *pState++ = (q63_t) Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ } while (--stage);
+
+}
+
+void arm_biquad_cas_df1_32x64_q31(
+ const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* input pointer initialization */
+ q31_t *pOut = pDst; /* output pointer initialization */
+ q63_t *pState = S->pState; /* state pointer initialization */
+ const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q31_t Xn1, Xn2; /* Input Filter state variables */
+ q63_t Yn1, Yn2; /* Output Filter state variables */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ q31x4_t vecCoef, vecIn;
+ q63_t acc;
+
+ if (blockSize <= 3)
+ {
+ arm_biquad_cas_df1_32x64_q31_scalar(S,pSrc,pDst,blockSize);
+ }
+ else
+ {
+ do
+ {
+ uint32_t i;
+ /*
+ * Reading the coefficients
+ */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ vecCoef[0] = 0;
+ vecCoef[1] = b2;
+ vecCoef[2] = b1;
+ vecCoef[3] = b0;
+ /*
+ * Reading the state values
+ */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ /*
+ * append history with initial samples
+ */
+ q31_t hist[6];
+ hist[0] = 0;
+ hist[1] = Xn2;
+ hist[2] = Xn1;
+ hist[3] = pIn[0];
+ hist[4] = pIn[1];
+ hist[5] = pIn[2];
+
+ const q31_t *pIn1 = hist;
+ q31x4_t vecIn0 = *(q31x4_t *) & pIn[0];
+ q31x4_t vecIn1 = *(q31x4_t *) & pIn[1];
+ q31x4_t vecIn2 = *(q31x4_t *) & pIn[2];
+
+ i = 3;
+ do
+ {
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ vecIn = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = vmlaldavaq(Yn1, vecIn, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ /*
+ * Store the output in the destination buffer in 1.31 format.
+ */
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ }
+ while (--i);
+
+ sample = blockSize - 3;
+ pIn1 = pIn + 3;
+
+ i = sample / 4;
+ while (i > 0U)
+ {
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ vecIn = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ /*
+ * Store the output in the destination buffer in 1.31 format.
+ */
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef);
+ vecIn0 = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn2, vecCoef);
+ vecIn1 = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn, vecCoef);
+ vecIn2 = vld1q(pIn1);
+ pIn1 += 1;
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ /*
+ * save input state
+ */
+ Xn2 = vecIn[2];
+ Xn1 = vecIn[3];
+
+ int loopRemainder = blockSize - 3 - 4 * ((blockSize - 3) / 4);
+ if (loopRemainder == 1)
+ {
+ /*
+ * remainder
+ */
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * save input state
+ */
+ Xn2 = vecIn0[2];
+ Xn1 = vecIn0[3];
+
+ }
+ else if (loopRemainder == 2)
+ {
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * save input state
+ */
+ Xn2 = vecIn1[2];
+ Xn1 = vecIn1[3];
+
+ }
+ else if (loopRemainder == 3)
+ {
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+
+ acc = mult32x64(Yn1, a1);
+ acc += mult32x64(Yn2, a2);
+ Yn2 = Yn1;
+ Yn1 = acc;
+ Yn1 = vmlaldavaq(Yn1, vecIn2, vecCoef);
+ Yn1 = asrl(Yn1, -shift);
+ *pOut++ = (q31_t) (Yn1 >> 32);
+ /*
+ * save input state
+ */
+ Xn2 = vecIn2[2];
+ Xn1 = vecIn2[3];
+
+ }
+
+ /*
+ * The first stage output is given as input to the second stage.
+ */
+ pIn = pDst;
+ /*
+ * Reset to destination buffer working pointer
+ */
+ pOut = pDst;
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ *pState++ = (q63_t) Xn1;
+ *pState++ = (q63_t) Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+ }
+ while (--stage);
+ }
+}
+#else
+void arm_biquad_cas_df1_32x64_q31(
+ const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* input pointer initialization */
+ q31_t *pOut = pDst; /* output pointer initialization */
+ q63_t *pState = S->pState; /* state pointer initialization */
+ const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q63_t acc; /* accumulator */
+ q31_t Xn1, Xn2; /* Input Filter state variables */
+ q63_t Yn1, Yn2; /* Output Filter state variables */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q31_t Xn; /* temporary input */
+ int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ q31_t acc_l, acc_h; /* temporary output */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the state values */
+ Xn1 = (q31_t) (pState[0]);
+ Xn2 = (q31_t) (pState[1]);
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variable acc hold output value that is being computed and stored in destination buffer
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn * b0;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn1 * b1;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn2 * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn1, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn2, a2);
+
+ /* The result is converted to 1.63 , Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *pOut = acc_h;
+
+ /* Read the second input into Xn2, to reuse the value */
+ Xn2 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc += b1 * x[n-1] */
+ acc = (q63_t) Xn * b1;
+
+ /* acc = b0 * x[n] */
+ acc += (q63_t) Xn2 * b0;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn1 * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn2, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn1, a2);
+
+ /* The result is converted to 1.63, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Read the third input into Xn1, to reuse the value */
+ Xn1 = *pIn++;
+
+ /* The result is converted to 1.31 */
+ /* Store the output in the destination buffer. */
+ *(pOut + 1U) = acc_h;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn1 * b0;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn2 * b1;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn1, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn2, a2);
+
+ /* The result is converted to 1.63, Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *(pOut + 2U) = acc_h;
+
+ /* Read the fourth input into Xn, to reuse the value */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn * b0;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn1 * b1;
+
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn2 * b2;
+
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn2, a1);
+
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn1, a2);
+
+ /* The result is converted to 1.63, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *(pOut + 3U) = acc_h;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+
+ /* update output pointer */
+ pOut += 4U;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+ /* acc = b0 * x[n] */
+ acc = (q63_t) Xn * b0;
+ /* acc += b1 * x[n-1] */
+ acc += (q63_t) Xn1 * b1;
+ /* acc += b[2] * x[n-2] */
+ acc += (q63_t) Xn2 * b2;
+ /* acc += a1 * y[n-1] */
+ acc += mult32x64(Yn1, a1);
+ /* acc += a2 * y[n-2] */
+ acc += mult32x64(Yn2, a2);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+
+ /* The result is converted to 1.63, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the output in the destination buffer in 1.31 format. */
+ *pOut++ = acc_h;
+ /* Yn1 = acc << shift; */
+
+ /* Store the output in the destination buffer in 1.31 format. */
+/* *pOut++ = (q31_t) (acc >> (32 - shift)); */
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* The first stage output is given as input to the second stage. */
+ pIn = pDst;
+
+ /* Reset to destination buffer working pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = (q63_t) Xn1;
+ *pState++ = (q63_t) Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ } while (--stage);
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BiquadCascadeDF1_32x64 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f16.c
new file mode 100644
index 00000000..c1ac1401
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f16.c
@@ -0,0 +1,491 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_f16.c
+ * Description: Processing function for the floating-point Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupFilters
+ */
+
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point Biquad cascade filter.
+ @param[in] S points to an instance of the floating-point Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_biquad_cascade_df1_f16(
+ const arm_biquad_casd_df1_inst_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize)
+{
+ float16_t *pIn = (float16_t *)pSrc; /* source pointer */
+ float16_t *pOut = pDst; /* destination pointer */
+ float16_t *pState = S->pState; /* pState pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float16_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ float16_t X0, X1, X2, X3; /* temporary input */
+ float16_t X4, X5, X6, X7; /* temporary input */
+ _Float16 lastX, lastY; /* X,Y history for tail handling */
+ f16x8_t coeffs;
+ f16x8_t accVec; /* accumultor vector */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+
+ do
+ {
+ /*
+ * Reading the pState values
+ */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ sample = blockSize >> 3U;
+
+ /*
+ * First part of the processing with loop unrolling. Compute 8 outputs at a time.
+ */
+ while (sample > 0U)
+ {
+ X0 = *pIn++;
+ X1 = *pIn++;
+ X2 = *pIn++;
+ X3 = *pIn++;
+ X4 = *pIn++;
+ X5 = *pIn++;
+ X6 = *pIn++;
+ X7 = *pIn++;
+
+ coeffs = vld1q(pCoeffs);
+ accVec = vmulq(coeffs, X7);
+
+ coeffs = vld1q(&pCoeffs[8]);
+ accVec = vfmaq(accVec, coeffs, X6);
+
+ coeffs = vld1q(&pCoeffs[16]);
+ accVec = vfmaq(accVec, coeffs, X5);
+
+ coeffs = vld1q(&pCoeffs[24]);
+ accVec = vfmaq(accVec, coeffs, X4);
+
+ coeffs = vld1q(&pCoeffs[32]);
+ accVec = vfmaq(accVec, coeffs, X3);
+
+ coeffs = vld1q(&pCoeffs[40]);
+ accVec = vfmaq(accVec, coeffs, X2);
+
+ coeffs = vld1q(&pCoeffs[48]);
+ accVec = vfmaq(accVec, coeffs, X1);
+
+ coeffs = vld1q(&pCoeffs[56]);
+ accVec = vfmaq(accVec, coeffs, X0);
+
+ coeffs = vld1q(&pCoeffs[64]);
+ accVec = vfmaq(accVec, coeffs, Xn1);
+
+ coeffs = vld1q(&pCoeffs[72]);
+ accVec = vfmaq(accVec, coeffs, Xn2);
+
+ coeffs = vld1q(&pCoeffs[80]);
+ accVec = vfmaq(accVec, coeffs, Yn1);
+
+ coeffs = vld1q(&pCoeffs[88]);
+ accVec = vfmaq(accVec, coeffs, Yn2);
+ /*
+ * Store the result in the accumulator in the destination buffer.
+ */
+ vst1q(pOut, accVec);
+ pOut += 8;
+
+ /*
+ * update recurrence
+ */
+ Xn1 = X7;
+ Xn2 = X6;
+ Yn1 = vgetq_lane(accVec, 7);
+ Yn2 = vgetq_lane(accVec, 6);
+ /*
+ * decrement the loop counter
+ */
+ sample--;
+ }
+
+ /*
+ * If the blockSize is not a multiple of 8,
+ * compute any remaining output samples here.
+ */
+ sample = blockSize & 0x7U;
+ if (sample)
+ {
+ /* save previous X, Y for modulo 1 length case */
+ lastX = X7;
+ lastY = Yn1;
+
+ X0 = *pIn++;
+ X1 = *pIn++;
+ X2 = *pIn++;
+ X3 = *pIn++;
+ X4 = *pIn++;
+ X5 = *pIn++;
+ X6 = *pIn++;
+ X7 = *pIn++;
+
+ coeffs = vld1q(pCoeffs);
+ accVec = vmulq(coeffs, X7);
+
+ coeffs = vld1q(&pCoeffs[8]);
+ accVec = vfmaq(accVec, coeffs, X6);
+
+ coeffs = vld1q(&pCoeffs[16]);
+ accVec = vfmaq(accVec, coeffs, X5);
+
+ coeffs = vld1q(&pCoeffs[24]);
+ accVec = vfmaq(accVec, coeffs, X4);
+
+ coeffs = vld1q(&pCoeffs[32]);
+ accVec = vfmaq(accVec, coeffs, X3);
+
+ coeffs = vld1q(&pCoeffs[40]);
+ accVec = vfmaq(accVec, coeffs, X2);
+
+ coeffs = vld1q(&pCoeffs[48]);
+ accVec = vfmaq(accVec, coeffs, X1);
+
+ coeffs = vld1q(&pCoeffs[56]);
+ accVec = vfmaq(accVec, coeffs, X0);
+
+ coeffs = vld1q(&pCoeffs[64]);
+ accVec = vfmaq(accVec, coeffs, Xn1);
+
+ coeffs = vld1q(&pCoeffs[72]);
+ accVec = vfmaq(accVec, coeffs, Xn2);
+
+ coeffs = vld1q(&pCoeffs[80]);
+ accVec = vfmaq(accVec, coeffs, Yn1);
+
+ coeffs = vld1q(&pCoeffs[88]);
+ accVec = vfmaq(accVec, coeffs, Yn2);
+
+ switch(sample)
+ {
+ case 1:
+ *pOut++ = vgetq_lane(accVec, 0);
+ Xn1 = X0;
+ Xn2 = lastX;
+ Yn1 = vgetq_lane(accVec, 0);
+ Yn2 = lastY;
+ break;
+ case 2:
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ Xn1 = X1;
+ Xn2 = X0;
+ Yn1 = vgetq_lane(accVec, 1);
+ Yn2 = vgetq_lane(accVec, 0);
+ break;
+ case 3:
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ *pOut++ = vgetq_lane(accVec, 2);
+ Xn1 = X2;
+ Xn2 = X1;
+ Yn1 = vgetq_lane(accVec, 2);
+ Yn2 = vgetq_lane(accVec, 1);
+ break;
+
+ case 4:
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ *pOut++ = vgetq_lane(accVec, 2);
+ *pOut++ = vgetq_lane(accVec, 3);
+ Xn1 = X3;
+ Xn2 = X2;
+ Yn1 = vgetq_lane(accVec, 3);
+ Yn2 = vgetq_lane(accVec, 2);
+ break;
+
+ case 5:
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ *pOut++ = vgetq_lane(accVec, 2);
+ *pOut++ = vgetq_lane(accVec, 3);
+ *pOut++ = vgetq_lane(accVec, 4);
+ Xn1 = X4;
+ Xn2 = X3;
+ Yn1 = vgetq_lane(accVec, 4);
+ Yn2 = vgetq_lane(accVec, 3);
+ break;
+
+ case 6:
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ *pOut++ = vgetq_lane(accVec, 2);
+ *pOut++ = vgetq_lane(accVec, 3);
+ *pOut++ = vgetq_lane(accVec, 4);
+ *pOut++ = vgetq_lane(accVec, 5);
+ Xn1 = X5;
+ Xn2 = X4;
+ Yn1 = vgetq_lane(accVec, 5);
+ Yn2 = vgetq_lane(accVec, 4);
+ break;
+
+ case 7:
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ *pOut++ = vgetq_lane(accVec, 2);
+ *pOut++ = vgetq_lane(accVec, 3);
+ *pOut++ = vgetq_lane(accVec, 4);
+ *pOut++ = vgetq_lane(accVec, 5);
+ *pOut++ = vgetq_lane(accVec, 6);
+ Xn1 = X6;
+ Xn2 = X5;
+ Yn1 = vgetq_lane(accVec, 6);
+ Yn2 = vgetq_lane(accVec, 5);
+ break;
+ }
+ }
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ pCoeffs += sizeof(arm_biquad_mod_coef_f16) / sizeof(float16_t);
+ /*
+ * The first stage goes from the input buffer to the output buffer.
+ * Subsequent numStages occur in-place in the output buffer
+ */
+ pIn = pDst;
+ /*
+ * Reset the output pointer
+ */
+ pOut = pDst;
+ /*
+ * decrement the loop counter
+ */
+ stage--;
+ }
+ while (stage > 0U);
+}
+
+#else
+void arm_biquad_cascade_df1_f16(
+ const arm_biquad_casd_df1_inst_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize)
+{
+ const float16_t *pIn = pSrc; /* Source pointer */
+ float16_t *pOut = pDst; /* Destination pointer */
+ float16_t *pState = S->pState; /* pState pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ _Float16 acc; /* Accumulator */
+ _Float16 b0, b1, b2, a1, a2; /* Filter coefficients */
+ _Float16 Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ _Float16 Xn; /* Temporary input */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the pState values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the first input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the second input */
+ Xn2 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the third input */
+ Xn1 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the forth input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = acc;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = acc;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent numStages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset output pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
+#endif /* #if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+#endif /*#if defined(ARM_FLOAT16_SUPPORTED)*/
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
new file mode 100644
index 00000000..77d862bf
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
@@ -0,0 +1,684 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_f32.c
+ * Description: Processing function for the floating-point Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure
+
+ This set of functions implements arbitrary order recursive (IIR) filters.
+ The filters are implemented as a cascade of second order Biquad sections.
+ The functions support Q15, Q31 and floating-point data types.
+ Fast version of Q15 and Q31 also available.
+
+ The functions operate on blocks of input and output data and each call to the function
+ processes blockSize samples through the filter.
+ pSrc points to the array of input data and
+ pDst points to the array of output data.
+ Both arrays contain blockSize values.
+
+ @par Algorithm
+ Each Biquad stage implements a second order filter using the difference equation:
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] ++ A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + \image html Biquad.gif "Single Biquad filter stage" + Coefficients
b0, b1 and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients.
+ Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.
+ Pay careful attention to the sign of the feedback coefficients.
+ Some design tools use the difference equation
+ + y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2] ++ In this case the feedback coefficients
a1 and a2
+ must be negated when used with the CMSIS DSP Library.
+
+ @par
+ Higher order filters are realized as a cascade of second order sections.
+ numStages refers to the number of second order stages used.
+ For example, an 8th order filter would be realized with numStages=4 second order stages.
+ \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
+ A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).
+
+ @par
+ The pState points to state variables array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+
+ @par
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Init Function
+ There is also an associated initialization function for each data type.
+ The initialization function performs following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};
+ arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};
+ arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};
+
+ where numStages is the number of Biquad stages in the filter;
+ pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer;
+ postShift shift to be applied.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions.
+ Following issues must be considered:
+ - Scaling of coefficients
+ - Filter gain
+ - Overflow and saturation
+
+ @par Scaling of coefficients
+ Filter coefficients are represented as fractional values and
+ coefficients are restricted to lie in the range [-1 +1).
+ The fixed-point functions have an additional scaling parameter postShift
+ which allow the filter coefficients to exceed the range [+1 -1).
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
+ This essentially scales the filter coefficients by 2^postShift.
+ For example, to realize the coefficients
+
+ {1.5, -0.8, 1.2, 1.6, -0.9}
+
+ set the pCoeffs array to:
+
+ {0.75, -0.4, 0.6, 0.8, -0.45}
+
+ and set postShift=1
+
+ @par Filter gain
+ The frequency response of a Biquad filter is a function of its coefficients.
+ It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.
+ This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.
+ To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.
+
+ @par Overflow and saturation
+ For Q15 and Q31 versions, it is described separately as part of the function specific documentation below.
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point Biquad cascade filter.
+ @param[in] S points to an instance of the floating-point Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* pState pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ float32_t lastX, lastY; /* X,Y history for tail handling */
+ float32_t X0, X1, X2, X3; /* temporary input */
+ f32x4_t coeffs;
+ f32x4_t accVec; /* accumultor vector */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+
+ do
+ {
+ /*
+ * Reading the pState values
+ */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ sample = blockSize >> 2U;
+
+ /*
+ * First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ * second loop below computes the remaining 1 to 3 samples.
+ */
+ while (sample > 0U)
+ {
+ X0 = *pIn++;
+ X1 = *pIn++;
+ X2 = *pIn++;
+ X3 = *pIn++;
+
+ coeffs = vld1q(pCoeffs);
+ accVec = vmulq(coeffs, X3);
+
+ coeffs = vld1q(&pCoeffs[4]);
+ accVec = vfmaq(accVec, coeffs, X2);
+
+ coeffs = vld1q(&pCoeffs[8]);
+ accVec = vfmaq(accVec, coeffs, X1);
+
+ coeffs = vld1q(&pCoeffs[12]);
+ accVec = vfmaq(accVec, coeffs, X0);
+
+ coeffs = vld1q(&pCoeffs[16]);
+ accVec = vfmaq(accVec, coeffs, Xn1);
+
+ coeffs = vld1q(&pCoeffs[20]);
+ accVec = vfmaq(accVec, coeffs, Xn2);
+
+ coeffs = vld1q(&pCoeffs[24]);
+ accVec = vfmaq(accVec, coeffs, Yn1);
+
+ coeffs = vld1q(&pCoeffs[28]);
+ accVec = vfmaq(accVec, coeffs, Yn2);
+ /*
+ * Store the result in the accumulator in the destination buffer.
+ */
+ vst1q(pOut, accVec);
+ pOut += 4;
+
+ /*
+ * update recurrence
+ */
+ Xn1 = X3;
+ Xn2 = X2;
+ Yn1 = vgetq_lane(accVec, 3);
+ Yn2 = vgetq_lane(accVec, 2);
+ /*
+ * decrement the loop counter
+ */
+ sample--;
+ }
+
+ /*
+ * If the blockSize is not a multiple of 4,
+ * compute any remaining output samples here.
+ */
+ sample = blockSize & 0x3U;
+ if (sample)
+ {
+ /* save previous X, Y for modulo 1 length case */
+ lastX = X3;
+ lastY = Yn1;
+
+ X0 = *pIn++;
+ X1 = *pIn++;
+ X2 = *pIn++;
+ X3 = *pIn++;
+
+ coeffs = vld1q(pCoeffs);
+ accVec = vmulq(coeffs, X3);
+
+ coeffs = vld1q(&pCoeffs[4]);
+ accVec = vfmaq(accVec, coeffs, X2);
+
+ coeffs = vld1q(&pCoeffs[8]);
+ accVec = vfmaq(accVec, coeffs, X1);
+
+ coeffs = vld1q(&pCoeffs[12]);
+ accVec = vfmaq(accVec, coeffs, X0);
+
+ coeffs = vld1q(&pCoeffs[16]);
+ accVec = vfmaq(accVec, coeffs, Xn1);
+
+ coeffs = vld1q(&pCoeffs[20]);
+ accVec = vfmaq(accVec, coeffs, Xn2);
+
+ coeffs = vld1q(&pCoeffs[24]);
+ accVec = vfmaq(accVec, coeffs, Yn1);
+
+ coeffs = vld1q(&pCoeffs[28]);
+ accVec = vfmaq(accVec, coeffs, Yn2);
+
+ if (sample == 1)
+ {
+ *pOut++ = vgetq_lane(accVec, 0);
+ Xn1 = X0;
+ Xn2 = lastX;
+ Yn1 = vgetq_lane(accVec, 0);
+ Yn2 = lastY;
+ }
+ else if (sample == 2)
+ {
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ Xn1 = X1;
+ Xn2 = X0;
+ Yn1 = vgetq_lane(accVec, 1);
+ Yn2 = vgetq_lane(accVec, 0);
+ }
+ else
+ {
+ *pOut++ = vgetq_lane(accVec, 0);
+ *pOut++ = vgetq_lane(accVec, 1);
+ *pOut++ = vgetq_lane(accVec, 2);
+ Xn1 = X2;
+ Xn2 = X1;
+ Yn1 = vgetq_lane(accVec, 2);
+ Yn2 = vgetq_lane(accVec, 1);
+ }
+ }
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ pCoeffs += sizeof(arm_biquad_mod_coef_f32) / sizeof(float32_t);
+ /*
+ * The first stage goes from the input buffer to the output buffer.
+ * Subsequent numStages occur in-place in the output buffer
+ */
+ pIn = pDst;
+ /*
+ * Reset the output pointer
+ */
+ pOut = pDst;
+ /*
+ * decrement the loop counter
+ */
+ stage--;
+ }
+ while (stage > 0U);
+}
+#else
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* pState pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float32_t acc; /* Simulates the accumulator */
+
+ uint32_t sample, stage = S->numStages; /* loop counters */
+
+ float32x4_t Xn;
+ float32x2_t Yn;
+ float32x2_t a;
+ float32x4_t b;
+
+ float32x4_t x,tmp;
+ float32x2_t t;
+ float32x2x2_t y;
+
+ float32_t Xns;
+
+ while (stage > 0U)
+ {
+ /* Reading the coefficients */
+ Xn = vdupq_n_f32(0.0f);
+
+ Xn = vsetq_lane_f32(pState[0],Xn,2);
+ Xn = vsetq_lane_f32(pState[1],Xn,3);
+ Yn = vset_lane_f32(pState[2],Yn,0);
+ Yn = vset_lane_f32(pState[3],Yn,1);
+
+ b = vld1q_f32(pCoeffs);
+ b = vrev64q_f32(b);
+ b = vcombine_f32(vget_high_f32(b), vget_low_f32(b));
+
+ a = vld1_f32(pCoeffs + 3);
+ a = vrev64_f32(a);
+ b = vsetq_lane_f32(0.0f,b,0);
+ pCoeffs += 5;
+
+ /* Reading the pState values */
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* The variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the first 4 inputs */
+ x = vld1q_f32(pIn);
+
+ pIn += 4;
+
+ tmp = vextq_f32(Xn, x, 1);
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ tmp = vextq_f32(Xn, x, 2);
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ y.val[0] = Yn;
+
+ tmp = vextq_f32(Xn, x, 3);
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ Xn = x;
+ t = vmul_f32(vget_high_f32(b), vget_high_f32(Xn));
+ t = vmla_f32(t, vget_low_f32(b), vget_low_f32(Xn));
+ t = vmla_f32(t, a, Yn);
+ t = vpadd_f32(t, t);
+ Yn = vext_f32(Yn, t, 1);
+
+ y.val[1] = Yn;
+
+ tmp = vcombine_f32(y.val[0], y.val[1]);
+
+ /* Store the 4 outputs and increment the pointer */
+ vst1q_f32(pOut, tmp);
+ pOut += 4;
+
+ /* Decrement the loop counter */
+ sample--;
+ }
+
+
+ /* If the block size is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ sample = blockSize & 0x3U;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xns = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = (vgetq_lane_f32(b, 1) * vgetq_lane_f32(Xn, 2))
+ + (vgetq_lane_f32(b, 2) * vgetq_lane_f32(Xn, 3))
+ + (vgetq_lane_f32(b, 3) * Xns)
+ + (vget_lane_f32(a, 0) * vget_lane_f32(Yn, 0))
+ + (vget_lane_f32(a, 1) * vget_lane_f32(Yn, 1));
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = acc;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn = vsetq_lane_f32(vgetq_lane_f32(Xn, 3),Xn,2);
+ Xn = vsetq_lane_f32(Xns,Xn,3);
+ Yn = vset_lane_f32(vget_lane_f32(Yn, 1),Yn,0);
+ Yn = vset_lane_f32(acc,Yn,1);
+
+ /* Decrement the loop counter */
+ sample--;
+
+ }
+
+ vst1q_f32(pState,vcombine_f32((vget_high_f32(Xn)),(Yn)));
+ pState += 4;
+ /* Store the updated state variables back into the pState array */
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent numStages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset the output pointer */
+ pOut = pDst;
+
+ /* Decrement the loop counter */
+ stage--;
+ }
+}
+
+#else
+void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* Source pointer */
+ float32_t *pOut = pDst; /* Destination pointer */
+ float32_t *pState = S->pState; /* pState pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t acc; /* Accumulator */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ float32_t Xn; /* Temporary input */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the pState values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the first input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the second input */
+ Xn2 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the third input */
+ Xn1 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+
+ /* Read the forth input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1);
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+ /* Store output in destination buffer. */
+ *pOut++ = acc;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = acc;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent numStages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset output pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
new file mode 100644
index 00000000..f2dd334d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
@@ -0,0 +1,250 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_fast_q15.c
+ * Description: Fast processing function for the Q15 Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 Biquad cascade filter (fast variant).
+ @param[in] S points to an instance of the Q15 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around and distorts the result.
+ In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25).
+ The 2.30 accumulator is then shifted by postShift bits and the result truncated to 1.15 format by discarding the low 16 bits.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_q15() for a slower implementation of this function
+ which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure.
+ Use the function \ref arm_biquad_cascade_df1_init_q15() to initialize the filter structure.
+ */
+
+void arm_biquad_cascade_df1_fast_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ const q15_t *pIn = pSrc; /* Source pointer */
+ q15_t *pOut = pDst; /* Destination pointer */
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t acc; /* Accumulator */
+ q31_t in; /* Temporary variable to hold input value */
+ q31_t out; /* Temporary variable to hold output value */
+ q31_t b0; /* Temporary variable to hold bo value */
+ q31_t b1, a1; /* Filter coefficients */
+ q31_t state_in, state_out; /* Filter state variables */
+ int32_t shift = (int32_t) (15 - S->postShift); /* Post shift */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Read the b0 and 0 coefficients using SIMD */
+ b0 = read_q15x2_ia (&pCoeffs);
+
+ /* Read the b1 and b2 coefficients using SIMD */
+ b1 = read_q15x2_ia (&pCoeffs);
+
+ /* Read the a1 and a2 coefficients using SIMD */
+ a1 = read_q15x2_ia (&pCoeffs);
+
+ /* Read the input state values from the state buffer: x[n-1], x[n-2] */
+ state_in = read_q15x2_ia (&pState);
+
+ /* Read the output state values from the state buffer: y[n-1], y[n-2] */
+ state_out = read_q15x2_da (&pState);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 2 output values simultaneously. */
+ /* Variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 2 outputs at a time */
+ sample = blockSize >> 1U;
+
+ while (sample > 0U)
+ {
+
+ /* Read the input */
+ in = read_q15x2_ia (&pIn);
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUAD(b0, in);
+ /* acc = b1 * x[n-1] + acc += b2 * x[n-2] + out */
+ acc = __SMLAD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */
+ acc = __SMLAD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+ out = __SSAT((acc >> shift), 16);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
+ state_out = __PKHBT(state_out >> 16, (out), 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUADX(b0, in);
+ /* acc0 = b1 * x[n-1] , acc0 += b2 * x[n-2] + out */
+ acc = __SMLAD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */
+ acc = __SMLAD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+ out = __SSAT((acc >> shift), 16);
+
+ /* Store the output in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in >> 16, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = (blockSize & 0x1U);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ in = *pIn++;
+
+ /* out = b0 * x[n] + 0 * 0 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ out = __SMUAD(b0, in);
+#else
+ out = __SMUADX(b0, in);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* acc = b1 * x[n-1], acc += b2 * x[n-2] + out */
+ acc = __SMLAD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */
+ acc = __SMLAD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+ out = __SSAT((acc >> shift), 16);
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = (q15_t) out;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent (numStages - 1) occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset the output pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the state array */
+ write_q15x2_ia(&pState, state_in);
+ write_q15x2_ia(&pState, state_out);
+
+ /* Decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
new file mode 100644
index 00000000..cefa592a
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
@@ -0,0 +1,296 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_fast_q31.c
+ * Description: Processing function for the Q31 Fast Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 Biquad cascade filter (fast variant).
+ @param[in] S points to an instance of the Q31 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are added to a 2.30 accumulator.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function
+ arm_biquad_cascade_df1_init_q31() to initialize filter structure.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_q31() for a slower implementation of this function
+ which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure.
+ Use the function \ref arm_biquad_cascade_df1_init_q31() to initialize the filter structure.
+ */
+
+void arm_biquad_cascade_df1_fast_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* Source pointer */
+ q31_t *pOut = pDst; /* Destination pointer */
+ q31_t *pState = S->pState; /* pState pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t acc = 0; /* Accumulator */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q31_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ q31_t Xn; /* Temporary input */
+ int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the pState values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variables acc ... acc3 hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/
+ mult_32x32_keep32_R(acc, b1, Xn1);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b0, Xn);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn2);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn1);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+ /* The result is converted to 1.31 , Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Read the second input */
+ Xn2 = *(pIn + 1U);
+
+ /* Store the output in the destination buffer. */
+ *pOut = Yn2;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn2);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn1);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn2);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Read the third input */
+ Xn1 = *(pIn + 2U);
+
+ /* Store the output in the destination buffer. */
+ *(pOut + 1U) = Yn1;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn1);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn2);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn1);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+ /* The result is converted to 1.31, Yn2 variable is reused */
+ Yn2 = acc << shift;
+
+ /* Read the forth input */
+ Xn = *(pIn + 3U);
+
+ /* Store the output in the destination buffer. */
+ *(pOut + 2U) = Yn2;
+ pIn += 4U;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn);
+ /* acc += b1 * x[n-1] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn1);
+ /* acc += b[2] * x[n-2] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn2);
+ /* acc += a1 * y[n-1] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn2);
+ /* acc += a2 * y[n-2] */
+ /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ Xn2 = Xn1;
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ Yn1 = acc << shift;
+
+ /* Xn1 = Xn */
+ Xn1 = Xn;
+
+ /* Store the output in the destination buffer. */
+ *(pOut + 3U) = Yn1;
+ pOut += 4U;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = (blockSize & 0x3U);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+ mult_32x32_keep32_R(acc, b0, Xn);
+ /* acc += b1 * x[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b1, Xn1);
+ /* acc += b[2] * x[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, b2, Xn2);
+ /* acc += a1 * y[n-1] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a1, Yn1);
+ /* acc += a2 * y[n-2] */
+ /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+ multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+ /* The result is converted to 1.31 */
+ acc = acc << shift;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = acc;
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = acc;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent stages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset to destination pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ } while (--stage);
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f16.c
new file mode 100644
index 00000000..d18dd3ea
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f16.c
@@ -0,0 +1,166 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_init_f16.c
+ * Description: Floating-point Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point Biquad cascade filter.
+ @param[in,out] S points to an instance of the floating-point Biquad cascade structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par For MVE code, an additional buffer of modified coefficients is required.
+ Its size is numStages and each element of this buffer has type arm_biquad_mod_coef_f16.
+ So, its total size is 96*numStages float16_t elements.
+
+ The initialization function which must be used is arm_biquad_cascade_df1_mve_init_f16.
+ */
+
+
+void arm_biquad_cascade_df1_init_f16(
+ arm_biquad_casd_df1_inst_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ float16_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float16_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+/*
+
+The computation of the coefficients is done in float32 otherwise the
+resulting filter is too different from the expected one.
+
+*/
+static void generateCoefsFastBiquadF16(float16_t b0, float16_t b1, float16_t b2, float16_t a1, float16_t a2,
+ arm_biquad_mod_coef_f16 * newCoef)
+{
+ float32_t coeffs[8][12] = {
+ {0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, (float32_t)b0, (float32_t)b1, (float32_t)b2, (float32_t)a1, (float32_t)a2},
+ {0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, (float32_t)b0, (float32_t)b1, (float32_t)b2, 0.0f, (float32_t)a2, 0.0f},
+ {0.0f, 0.0f, 0.0f, 0.0f, 0.0f, (float32_t)b0, (float32_t)b1, (float32_t)b2, 0.0f, 0.0f, 0.0f, 0.0f},
+ {0.0f, 0.0f, 0.0f, 0.0f, (float32_t)b0, (float32_t)b1, (float32_t)b2, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f},
+ {0.0f, 0.0f, 0.0f, (float32_t)b0, (float32_t)b1, (float32_t)b2, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f},
+ {0.0f, 0.0f, (float32_t)b0, (float32_t)b1, (float32_t)b2, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f},
+ {0.0f, (float32_t)b0, (float32_t)b1, (float32_t)b2, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f},
+ {(float32_t)b0, (float32_t)b1, (float32_t)b2, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f}
+ };
+
+ for (int i = 0; i < 12; i++)
+ {
+ coeffs[1][i] += ((float32_t)a1 * coeffs[0][i]);
+ coeffs[2][i] += ((float32_t)a1 * coeffs[1][i]) + ((float32_t)a2 * coeffs[0][i]);
+ coeffs[3][i] += ((float32_t)a1 * coeffs[2][i]) + ((float32_t)a2 * coeffs[1][i]);
+ coeffs[4][i] += ((float32_t)a1 * coeffs[3][i]) + ((float32_t)a2 * coeffs[2][i]);
+ coeffs[5][i] += ((float32_t)a1 * coeffs[4][i]) + ((float32_t)a2 * coeffs[3][i]);
+ coeffs[6][i] += ((float32_t)a1 * coeffs[5][i]) + ((float32_t)a2 * coeffs[4][i]);
+ coeffs[7][i] += ((float32_t)a1 * coeffs[6][i]) + ((float32_t)a2 * coeffs[5][i]);
+
+ /*
+ * transpose
+ */
+ newCoef->coeffs[i][0] = (float16_t) coeffs[0][i];
+ newCoef->coeffs[i][1] = (float16_t) coeffs[1][i];
+ newCoef->coeffs[i][2] = (float16_t) coeffs[2][i];
+ newCoef->coeffs[i][3] = (float16_t) coeffs[3][i];
+ newCoef->coeffs[i][4] = (float16_t) coeffs[4][i];
+ newCoef->coeffs[i][5] = (float16_t) coeffs[5][i];
+ newCoef->coeffs[i][6] = (float16_t) coeffs[6][i];
+ newCoef->coeffs[i][7] = (float16_t) coeffs[7][i];
+
+ }
+}
+
+void arm_biquad_cascade_df1_mve_init_f16(arm_biquad_casd_df1_inst_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ arm_biquad_mod_coef_f16 * pCoeffsMod,
+ float16_t * pState)
+{
+ arm_biquad_cascade_df1_init_f16(S, numStages, (float16_t *)pCoeffsMod, pState);
+
+ /* Generate SIMD friendly modified coefs */
+ for (int i = 0; i < numStages; i++)
+ {
+ generateCoefsFastBiquadF16(pCoeffs[0], pCoeffs[1], pCoeffs[2], pCoeffs[3], pCoeffs[4], pCoeffsMod);
+ pCoeffs += 5;
+ pCoeffsMod++;
+ }
+}
+
+#endif
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
+#endif /* #if defined(ARMfloat16_t_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
new file mode 100644
index 00000000..1614594b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_init_f32.c
+ * Description: Floating-point Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point Biquad cascade filter.
+ @param[in,out] S points to an instance of the floating-point Biquad cascade structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par For MVE code, an additional buffer of modified coefficients is required.
+ Its size is numStages and each element of this buffer has type arm_biquad_mod_coef_f32.
+ So, its total size is 32*numStages float32_t elements.
+
+ The initialization function which must be used is arm_biquad_cascade_df1_mve_init_f32.
+ */
+
+
+void arm_biquad_cascade_df1_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+static void generateCoefsFastBiquadF32(float32_t b0, float32_t b1, float32_t b2, float32_t a1, float32_t a2,
+ arm_biquad_mod_coef_f32 * newCoef)
+{
+ float32_t coeffs[4][8] = {
+ {0, 0, 0, b0, b1, b2, a1, a2},
+ {0, 0, b0, b1, b2, 0, a2, 0},
+ {0, b0, b1, b2, 0, 0, 0, 0},
+ {b0, b1, b2, 0, 0, 0, 0, 0},
+ };
+
+ for (int i = 0; i < 8; i++)
+ {
+ coeffs[1][i] += a1 * coeffs[0][i];
+ coeffs[2][i] += a1 * coeffs[1][i] + a2 * coeffs[0][i];
+ coeffs[3][i] += a1 * coeffs[2][i] + a2 * coeffs[1][i];
+
+ /*
+ * transpose
+ */
+ newCoef->coeffs[i][0] = (float32_t) coeffs[0][i];
+ newCoef->coeffs[i][1] = (float32_t) coeffs[1][i];
+ newCoef->coeffs[i][2] = (float32_t) coeffs[2][i];
+ newCoef->coeffs[i][3] = (float32_t) coeffs[3][i];
+ }
+}
+
+void arm_biquad_cascade_df1_mve_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ arm_biquad_mod_coef_f32 * pCoeffsMod,
+ float32_t * pState)
+{
+ arm_biquad_cascade_df1_init_f32(S, numStages, (float32_t *)pCoeffsMod, pState);
+
+ /* Generate SIMD friendly modified coefs */
+ for (int i = 0; i < numStages; i++)
+ {
+ generateCoefsFastBiquadF32(pCoeffs[0], pCoeffs[1], pCoeffs[2], pCoeffs[3], pCoeffs[4], pCoeffsMod);
+ pCoeffs += 5;
+ pCoeffsMod++;
+ }
+}
+#endif
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
new file mode 100644
index 00000000..0fa38255
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
@@ -0,0 +1,96 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_init_q15.c
+ * Description: Q15 Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 Biquad cascade filter.
+ @param[in,out] S points to an instance of the Q15 Biquad cascade structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @param[in] postShift Shift to be applied to the accumulator result. Varies according to the coefficients format
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 6*numStages values.
+ The zero coefficient between b1 and b2 facilities use of 16-bit SIMD instructions on the Cortex-M4.
+ @par
+ The state variables are stored in the array pState.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df1_init_q15(
+ arm_biquad_casd_df1_inst_q15 * S,
+ uint8_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int8_t postShift)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign postShift to be applied to the output */
+ S->postShift = postShift;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
new file mode 100644
index 00000000..2b3cb628
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_init_q31.c
+ * Description: Q31 Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 Biquad cascade filter.
+ @param[in,out] S points to an instance of the Q31 Biquad cascade structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState points to state variables array.
+ Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].
+ The state variables are arranged in the pState array as:
+
+ {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+ The state array has a total length of 4*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df1_init_q31(
+ arm_biquad_casd_df1_inst_q31 * S,
+ uint8_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int8_t postShift)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign postShift to be applied to the output */
+ S->postShift = postShift;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
new file mode 100644
index 00000000..c77a05c4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
@@ -0,0 +1,618 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_q15.c
+ * Description: Processing function for the Q15 Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 Biquad cascade filter.
+ @param[in] S points to an instance of the Q15 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the location where the output result is written
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ The accumulator is then shifted by postShift bits to truncate the result to 1.15 format by discarding the low 16 bits.
+ Finally, the result is saturated to 1.15 format.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_fast_q15() for a faster but less precise implementation of this filter.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_biquad_cascade_df1_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ const q15_t *pIn = pSrc; /* input pointer initialization */
+ q15_t *pOut = pDst; /* output pointer initialization */
+ int shift;
+ uint32_t sample, stages = S->numStages; /* loop counters */
+ int postShift = S->postShift;
+ q15x8_t bCoeffs0, bCoeffs1, bCoeffs2, bCoeffs3; /* Coefficients vector */
+ q15_t *pState = S->pState; /* pState pointer initialization */
+ q15x8_t inVec0;
+ int64_t acc;
+ const q15_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q31_t out, out1;
+
+ shift = (15 - postShift) - 32;
+
+ do {
+ q15_t a2 = pCoeffs[5];
+ q15_t a1 = pCoeffs[4];
+
+ bCoeffs0 = vdupq_n_s16(0);
+ bCoeffs0[0] = pCoeffs[3]; // b2
+ bCoeffs0[1] = pCoeffs[2]; // b1
+ bCoeffs0[2] = pCoeffs[0]; // b0
+
+ uint32_t zero = 0;
+ bCoeffs1 = bCoeffs0;
+ bCoeffs1 = vshlcq_s16(bCoeffs1, &zero, 16);
+
+ bCoeffs2 = bCoeffs1;
+ bCoeffs2 = vshlcq_s16(bCoeffs2, &zero, 16);
+
+ bCoeffs3 = bCoeffs2;
+ bCoeffs3 = vshlcq_s16(bCoeffs3, &zero, 16);
+
+ bCoeffs0[6] = a2;
+ bCoeffs0[7] = a1;
+ bCoeffs1[7] = a2;
+ bCoeffs1[6] = a1;
+
+ bCoeffs2 =
+ vsetq_lane_s32(vgetq_lane_s32((q31x4_t) bCoeffs0, 3), (q31x4_t) bCoeffs2, 3);
+ bCoeffs3 =
+ vsetq_lane_s32(vgetq_lane_s32((q31x4_t) bCoeffs1, 3), (q31x4_t) bCoeffs3, 3);
+
+
+ /* 2 first elements are garbage, will be updated with history */
+ inVec0 = vld1q(pIn - 2);
+ pIn += 2;
+
+ inVec0[0] = pState[1];
+ inVec0[1] = pState[0];
+ inVec0[6] = pState[3];
+ inVec0[7] = pState[2];
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0[6] = out1;
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0[7] = out;
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ acc = vmlaldavq(bCoeffs2, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+
+ inVec0[6] = out1;
+ acc = vmlaldavq(bCoeffs3, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ /*
+ * main loop
+ */
+ sample = (blockSize - 4) >> 2U;
+ /* preload (efficient scheduling) */
+ inVec0 = vld1q(pIn);
+ pIn += 4;
+
+ /*
+ * Compute 4 outputs at a time.
+ */
+ while (sample > 0U) {
+
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ /* store */
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ /*
+ * in { x0 x1 x2 x3 x4 x5 yn2 yn1 }
+ * x
+ * bCoeffs0 { b2 b1 b0 0 0 0 a2 a1 }
+ *
+ */
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ /* shift + saturate to 16 bit */
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ /*
+ * in { x0 x1 x2 x3 x4 x5 y0 yn1 }
+ * x
+ * bCoeffs1 { 0 b2 b1 b0 0 0 a1 a2 }
+ */
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+
+ inVec0[7] = out;
+ /*
+ * in { x0 x1 x2 x3 x4 x5 y0 yp1 }
+ * x
+ * bCoeffs2 { 0 0 b2 b1 b0 0 a2 a1 }
+ */
+ acc = vmlaldavq(bCoeffs2, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ /*
+ * in { x0 x1 x2 x3 x4 x5 y0 yp1 }
+ * x
+ * bCoeffs2 { 0 0 0 b2 b1 b0 a1 a2 }
+ */
+ acc = vmlaldavq(bCoeffs3, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0 = vld1q(pIn);
+ pIn += 4;
+
+ /* decrement the loop counter */
+ sample--;
+ }
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ /*
+ * Tail handling
+ */
+ int32_t loopRemainder = blockSize & 3;
+
+ if (loopRemainder == 3) {
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ inVec0[7] = out;
+ acc = vmlaldavq(bCoeffs2, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ *pOut++ = (q15_t) out1;
+
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 4);
+ pState[1] = vgetq_lane_s16(inVec0, 3);
+ pState[3] = out;
+ pState[2] = out1;
+
+ } else if (loopRemainder == 2) {
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ inVec0[6] = out1;
+
+ acc = vmlaldavq(bCoeffs1, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = (q15_t) out1;
+ *pOut++ = (q15_t) out;
+
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 3);
+ pState[1] = vgetq_lane_s16(inVec0, 2);
+ pState[3] = out1;
+ pState[2] = out;
+ } else if (loopRemainder == 1) {
+
+ inVec0[6] = out1;
+ inVec0[7] = out;
+
+ acc = vmlaldavq(bCoeffs0, inVec0);
+ acc = sqrshrl_sat48(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+ *pOut++ = (q15_t) out1;
+
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 2);
+ pState[1] = vgetq_lane_s16(inVec0, 1);
+ pState[3] = out;
+ pState[2] = out1;
+
+
+ } else {
+ /* Store the updated state variables back into the pState array */
+ pState[0] = vgetq_lane_s16(inVec0, 1);
+ pState[1] = vgetq_lane_s16(inVec0, 0);
+ pState[3] = out1;
+ pState[2] = out;
+ }
+
+ pState += 4;
+ pCoeffs += 6;
+
+ /*
+ * The first stage goes from the input buffer to the output buffer.
+ * Subsequent stages occur in-place in the output buffer
+ */
+ pIn = pDst;
+ /*
+ * Reset to destination pointer
+ */
+ pOut = pDst;
+ }
+ while (--stages);
+}
+#else
+void arm_biquad_cascade_df1_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn = pSrc; /* Source pointer */
+ q15_t *pOut = pDst; /* Destination pointer */
+ q31_t in; /* Temporary variable to hold input value */
+ q31_t out; /* Temporary variable to hold output value */
+ q31_t b0; /* Temporary variable to hold bo value */
+ q31_t b1, a1; /* Filter coefficients */
+ q31_t state_in, state_out; /* Filter state variables */
+ q31_t acc_l, acc_h;
+ q63_t acc; /* Accumulator */
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */
+ uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */
+ int32_t uShift = (32 - lShift);
+
+ do
+ {
+ /* Read the b0 and 0 coefficients using SIMD */
+ b0 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the b1 and b2 coefficients using SIMD */
+ b1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the a1 and a2 coefficients using SIMD */
+ a1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+ /* Read the input state values from the state buffer: x[n-1], x[n-2] */
+ state_in = read_q15x2_ia (&pState);
+
+ /* Read the output state values from the state buffer: y[n-1], y[n-2] */
+ state_out = read_q15x2_da (&pState);
+
+ /* Apply loop unrolling and compute 2 output values simultaneously. */
+ /* The variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+ sample = blockSize >> 1U;
+
+ /* First part of the processing with loop unrolling. Compute 2 outputs at a time.
+ ** a second loop below computes the remaining 1 sample. */
+ while (sample > 0U)
+ {
+
+ /* Read the input */
+ in = read_q15x2_ia ((q15_t **) &pIn);
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUAD(b0, in);
+
+ /* acc += b1 * x[n-1] + b2 * x[n-2] + out */
+ acc = __SMLALD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + a2 * y[n-2] */
+ acc = __SMLALD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ out = __SSAT(out, 16);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
+ state_out = __PKHBT(state_out >> 16, (out), 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* out = b0 * x[n] + 0 * 0 */
+ out = __SMUADX(b0, in);
+ /* acc += b1 * x[n-1] + b2 * x[n-2] + out */
+ acc = __SMLALD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + a2 * y[n-2] */
+ acc = __SMLALD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ out = __SSAT(out, 16);
+
+ /* Store the output in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in >> 16, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Decrement loop counter */
+ sample--;
+ }
+
+ /* If the blockSize is not a multiple of 2, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+
+ if ((blockSize & 0x1U) != 0U)
+ {
+ /* Read the input */
+ in = *pIn++;
+
+ /* out = b0 * x[n] + 0 * 0 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ out = __SMUAD(b0, in);
+#else
+ out = __SMUADX(b0, in);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* acc = b1 * x[n-1] + b2 * x[n-2] + out */
+ acc = __SMLALD(b1, state_in, out);
+ /* acc += a1 * y[n-1] + a2 * y[n-2] */
+ acc = __SMLALD(a1, state_out, acc);
+
+ /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ out = __SSAT(out, 16);
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = (q15_t) out;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+ /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef ARM_MATH_BIG_ENDIAN
+ state_in = __PKHBT(in, state_in, 16);
+ state_out = __PKHBT(out, state_out, 16);
+#else
+ state_in = __PKHBT(state_in >> 16, in, 16);
+ state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ }
+
+ /* The first stage goes from the input wire to the output wire. */
+ /* Subsequent numStages occur in-place in the output wire */
+ pIn = pDst;
+
+ /* Reset the output pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the state array */
+ write_q15x2_ia (&pState, state_in);
+ write_q15x2_ia (&pState, state_out);
+
+ /* Decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+#else
+
+ const q15_t *pIn = pSrc; /* Source pointer */
+ q15_t *pOut = pDst; /* Destination pointer */
+ q15_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q15_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */
+ q15_t Xn; /* temporary input */
+ q63_t acc; /* Accumulator */
+ int32_t shift = (15 - (int32_t) S->postShift); /* Post shift */
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ pCoeffs++; // skip the 0 coefficient
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the state values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+ /* The variables acc holds the output value that is computed:
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ sample = blockSize;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ /* acc = b0 * x[n] */
+ acc = (q31_t) b0 *Xn;
+
+ /* acc += b1 * x[n-1] */
+ acc += (q31_t) b1 *Xn1;
+ /* acc += b[2] * x[n-2] */
+ acc += (q31_t) b2 *Xn2;
+ /* acc += a1 * y[n-1] */
+ acc += (q31_t) a1 *Yn1;
+ /* acc += a2 * y[n-2] */
+ acc += (q31_t) a2 *Yn2;
+
+ /* The result is converted to 1.31 */
+ acc = __SSAT((acc >> shift), 16);
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = (q15_t) acc;
+
+ /* Store the output in the destination buffer. */
+ *pOut++ = (q15_t) acc;
+
+ /* decrement the loop counter */
+ sample--;
+ }
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent stages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset to destination pointer */
+ pOut = pDst;
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ } while (--stage);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
new file mode 100644
index 00000000..d938025e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
@@ -0,0 +1,510 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df1_q31.c
+ * Description: Processing function for the Q31 Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF1
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 Biquad cascade filter.
+ @param[in] S points to an instance of the Q31 Biquad cascade structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).
+ After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to
+ 1.31 format by discarding the low 32 bits.
+ @remark
+ Refer to \ref arm_biquad_cascade_df1_fast_q31() for a faster but less precise implementation of this filter.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+void arm_biquad_cascade_df1_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* input pointer initialization */
+ q31_t *pOut = pDst; /* output pointer initialization */
+ int shift;
+ uint32_t stages = S->numStages; /* loop counters */
+ int postShift = S->postShift;
+ q31x4_t b0Coeffs, b1Coeffs, a0Coeffs, a1Coeffs; /* Coefficients vector */
+ q31x4_t stateVec;
+ q31_t *pState = S->pState; /* pState pointer initialization */
+ q31x4_t inVec0;
+ int64_t acc;
+ const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */
+ q31_t out, out1;
+
+
+ shift = (postShift + 1 + 8);
+
+ do {
+ /*
+ * Reading the coefficients
+ * generates :
+ * Fwd0 { b2 b1 b0 0 }
+ * Fwd1 { 0 b2 b1 b0 }
+ * Bwd0 { 0 0 a2 a1 }
+ * Bwd0 { 0 0 a1 a2 }
+ * (can be moved in init)
+ */
+ b0Coeffs = vdupq_n_s32(0);
+ a0Coeffs = vdupq_n_s32(0);
+
+ b0Coeffs[0] = pCoeffs[2]; // b2
+ b0Coeffs[1] = pCoeffs[1]; // b1
+ b0Coeffs[2] = pCoeffs[0]; // b0
+
+ b1Coeffs = b0Coeffs;
+ uint32_t zero = 0;
+ b1Coeffs = vshlcq_s32(b1Coeffs, &zero, 32);
+
+ a0Coeffs[2] = pCoeffs[4];
+ a0Coeffs[3] = pCoeffs[3];
+ a1Coeffs = vrev64q_s32(a0Coeffs);
+
+
+ /*
+ * prologue consumes history samples
+ */
+
+ /* 2 first elements are garbage, will be updated with history */
+ inVec0 = vld1q(pIn - 2);
+
+ inVec0[0] = pState[1];
+ inVec0[1] = pState[0];
+
+ stateVec[2] = pState[3];
+ stateVec[3] = pState[2];
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ /*
+ * main loop
+ */
+ uint32_t sample = (blockSize - 2) >> 2U;
+ /*
+ * First part of the processing with loop unrolling.
+ * Compute 4 outputs at a time.
+ */
+ while (sample > 0U) {
+
+ stateVec[3] = out1;
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ /*
+ * in { x0 x1 x2 x3 }
+ * x
+ * b0Coeffs { b2 b1 b0 0 }
+ */
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ /*
+ * out { 0 0 yn2 yn1 }
+ * x
+ * a0Coeffs { 0 0 a2 a1 }
+ */
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ /*
+ * in { x0 x1 x2 x3 }
+ * x
+ * b0Coeffs { 0 b2 b1 b0 }
+ */
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ /*
+ * out { 0 0 y0 yn1 }
+ * x
+ * a0Coeffs { 0 0 a1 a2 }
+ */
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[3] = out1;
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ /* unrolled part */
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ sample--;
+ }
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ /*
+ * Tail handling
+ */
+ int32_t loopRemainder = blockSize & 3;
+ if (loopRemainder == 2) {
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[1];
+ pState[1] = inVec0[0];
+ pState[3] = out;
+ pState[2] = out1;
+ } else if (loopRemainder == 1) {
+ stateVec[3] = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[3] = out1;
+
+ inVec0 = vld1q(pIn);
+ pIn += 2;
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = out;
+
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[2];
+ pState[1] = inVec0[1];
+ pState[3] = out1;
+ pState[2] = out;
+ } else if (loopRemainder == 0) {
+ stateVec[3] = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ stateVec[2] = out;
+
+ acc = vrmlaldavhq(b1Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a1Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out1 = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = out;
+ *pOut++ = out1;
+
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[3];
+ pState[1] = inVec0[2];
+ pState[3] = out;
+ pState[2] = out1;
+ } else {
+ stateVec[3] = out1;
+
+ acc = vrmlaldavhq(b0Coeffs, inVec0);
+ acc = vrmlaldavhaq(acc, a0Coeffs, stateVec);
+ acc = lsll(acc, shift);
+ out = (q31_t) ((acc >> 32) & 0xffffffff);
+
+ *pOut++ = out;
+
+ /*
+ * Store the updated state variables back into the pState array
+ */
+ pState[0] = inVec0[2];
+ pState[1] = inVec0[1];
+ pState[3] = out1;
+ pState[2] = out;
+ }
+
+
+ pCoeffs += 5;
+ pState += 4;
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent stages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset to destination pointer */
+ pOut = pDst;
+ }
+ while (--stages);
+}
+#else
+void arm_biquad_cascade_df1_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ const q31_t *pIn = pSrc; /* Source pointer */
+ q31_t *pOut = pDst; /* Destination pointer */
+ q31_t *pState = S->pState; /* pState pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q63_t acc; /* Accumulator */
+ q31_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ q31_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */
+ q31_t Xn; /* Temporary input */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc_l, acc_h; /* temporary output variables */
+#endif
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* Reading the pState values */
+ Xn1 = pState[0];
+ Xn2 = pState[1];
+ Yn1 = pState[2];
+ Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 output values simultaneously. */
+ /* Variable acc hold output values that are being computed:
+ *
+ * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ */
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ sample = blockSize >> 2U;
+
+ while (sample > 0U)
+ {
+ /* Read the first input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+ /* The result is converted to 1.31 , Yn2 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Read the second input */
+ Xn2 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn2) + ((q63_t) b1 * Xn) + ((q63_t) b2 * Xn1) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1);
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Read the third input */
+ Xn1 = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn1) + ((q63_t) b1 * Xn2) + ((q63_t) b2 * Xn) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+ /* The result is converted to 1.31, Yn2 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn2;
+
+ /* Read the forth input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1);
+
+ /* The result is converted to 1.31, Yn1 variable is reused */
+ acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */
+ acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = Yn1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn = *pIn++;
+
+ /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+ acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+ /* The result is converted to 1.31 */
+ acc = acc >> lShift;
+
+ /* Store output in destination buffer. */
+ *pOut++ = (q31_t) acc;
+
+ /* Every time after the output is computed state should be updated. */
+ /* The states should be updated as: */
+ /* Xn2 = Xn1 */
+ /* Xn1 = Xn */
+ /* Yn2 = Yn1 */
+ /* Yn1 = acc */
+ Xn2 = Xn1;
+ Xn1 = Xn;
+ Yn2 = Yn1;
+ Yn1 = (q31_t) acc;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the pState array */
+ *pState++ = Xn1;
+ *pState++ = Xn2;
+ *pState++ = Yn1;
+ *pState++ = Yn2;
+
+ /* The first stage goes from the input buffer to the output buffer. */
+ /* Subsequent numStages occur in-place in the output buffer */
+ pIn = pDst;
+
+ /* Reset output pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of BiquadCascadeDF1 group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f16.c
new file mode 100644
index 00000000..a7b1c7ab
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f16.c
@@ -0,0 +1,494 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_f16.c
+ * Description: Processing function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupFilters
+*/
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in] S points to an instance of the filter data structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if (defined(ARM_MATH_MVE_FLOAT16) && defined(ARM_MATH_HELIUM_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_biquad_cascade_df2T_f16(
+ const arm_biquad_cascade_df2T_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize)
+{
+ float16_t *pIn = (float16_t *)pSrc; /* source pointer */
+ float16_t Xn0, Xn1;
+ float16_t acc0, acc1;
+ float16_t *pOut = pDst; /* destination pointer */
+ float16_t *pState = S->pState; /* State pointer */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ float16_t const *pCurCoeffs = /* coefficient pointer */
+ (float16_t const *) S->pCoeffs;
+ f16x8_t b0Coeffs, a0Coeffs; /* Coefficients vector */
+ f16x8_t b1Coeffs, a1Coeffs; /* Modified coef. vector */
+ f16x8_t state; /* State vector */
+
+ do
+ {
+ /*
+ * temporary carry variable for feeding the 128-bit vector shifter
+ */
+ uint32_t tmp = 0;
+ /*
+ * Reading the coefficients
+ * b0Coeffs = {b0, b1, b2, x, x, x, x, x}
+ * a0Coeffs = { x, a1, a2, x, x, x, x, x}
+ */
+ b0Coeffs = vld1q(pCurCoeffs); pCurCoeffs += 2;
+ a0Coeffs = vld1q(pCurCoeffs); pCurCoeffs += 3;
+ /*
+ * Reading the state values
+ * state = {d1, d2, 0, 0, x, x, x, x}
+ */
+ state = *(f16x8_t *) pState;
+ state = vsetq_lane((float16_t)0.0, state, 2);
+ state = vsetq_lane((float16_t)0.0, state, 3);
+
+ /* b1Coeffs = {0, b0, b1, b2, x, x, x, x} */
+ /* b1Coeffs = { x, x, a1, a2, x, x, x, x} */
+ b1Coeffs = (f16x8_t)vshlcq_s16((int16x8_t)b0Coeffs, &tmp, 16);
+ a1Coeffs = (f16x8_t)vshlcq_s16((int16x8_t)a0Coeffs, &tmp, 16);
+
+ sample = blockSize / 2;
+
+ /* unrolled 2 x */
+ while (sample > 0U)
+ {
+ /*
+ * Read 2 inputs
+ */
+ Xn0 = *pIn++;
+ Xn1 = *pIn++;
+
+ /*
+ * 1st half:
+ * / acc1 \ / b0 \ / d1 \ / 0 \
+ * | d1 | | b1 | | d2 | | a1 |
+ * | d2 | | b2 | | 0 | | a2 |
+ * | x | = | x | * Xn1 + | x | + | x | x acc1
+ * ... ... ... ...
+ * \ x / \ x / \ x / \ x /
+ */
+
+ state = vfmaq(state, b0Coeffs, Xn0);
+ acc0 = vgetq_lane(state, 0);
+ state = vfmaq(state, a0Coeffs, acc0);
+ state = vsetq_lane((float16_t)0.0, state, 3);
+
+ /*
+ * 2nd half:
+ * same as 1st half, but all vector elements shifted down.
+ * / x \ / x \ / x \ / x \
+ * | acc1 | | b0 | | d1 | | 0 |
+ * | d1 | | b1 | | d2 | | a1 |
+ * | d2 | | b2 | | 0 | | a2 |
+ * | x | = | x | * Xn1 + | x | + | x | x acc1
+ * ... ... ... ...
+ * \ x / \ x / \ x / \ x /
+ */
+
+ state = vfmaq(state, b1Coeffs, Xn1);
+ acc1 = vgetq_lane(state, 1);
+ state = vfmaq(state, a1Coeffs, acc1);
+
+ /* move d1, d2 up + clearing */
+ /* expect dual move or long move */
+ state = vsetq_lane(vgetq_lane(state, 2), state, 0);
+ state = vsetq_lane(vgetq_lane(state, 3), state, 1);
+ state = vsetq_lane((float16_t)0.0, state, 2);
+ /*
+ * Store the results in the destination buffer.
+ */
+ *pOut++ = acc0;
+ *pOut++ = acc1;
+ /*
+ * decrement the loop counter
+ */
+ sample--;
+ }
+
+ /* compiler does not come back when enabled */
+ /*
+ * tail handling
+ */
+ if (blockSize & 1)
+ {
+ Xn0 = *pIn++;
+ state = vfmaq_n_f16(state, b0Coeffs, Xn0);
+ acc0 = vgetq_lane(state, 0);
+
+ state = vfmaq_n_f16(state, a0Coeffs, acc0);
+ *pOut++ = acc0;
+ *pState++ = vgetq_lane(state, 1);
+ *pState++ = vgetq_lane(state, 2);
+ }
+ else
+ {
+ *pState++ = vgetq_lane(state, 0);
+ *pState++ = vgetq_lane(state, 1);
+ }
+ /*
+ * The current stage input is given as the output to the next stage
+ */
+ pIn = pDst;
+ /*
+ * Reset the output working pointer
+ */
+ pOut = pDst;
+ /*
+ * decrement the loop counter
+ */
+ stage--;
+ }
+ while (stage > 0U);
+}
+#else
+
+void arm_biquad_cascade_df2T_f16(
+ const arm_biquad_cascade_df2T_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize)
+{
+ const float16_t *pIn = pSrc; /* Source pointer */
+ float16_t *pOut = pDst; /* Destination pointer */
+ float16_t *pState = S->pState; /* State pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ _Float16 acc1; /* Accumulator */
+ _Float16 b0, b1, b2, a1, a2; /* Filter coefficients */
+ _Float16 Xn1; /* Temporary input */
+ _Float16 d1, d2; /* State variables */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = pCoeffs[0];
+ b1 = pCoeffs[1];
+ b2 = pCoeffs[2];
+ a1 = pCoeffs[3];
+ a2 = pCoeffs[4];
+
+ /* Reading the state values */
+ d1 = pState[0];
+ d2 = pState[1];
+
+ pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 16 outputs at a time */
+ sample = blockSize >> 4U;
+
+ while (sample > 0U) {
+
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+/* 1 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 2 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 3 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 4 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 5 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 6 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 7 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 8 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 9 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 10 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 11 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 12 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 13 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 14 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 15 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 16 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0xFU;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U) {
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ pState[0] = d1;
+ pState[1] = d2;
+
+ pState += 2U;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /* Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+#endif /* #if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+/**
+ @} end of BiquadCascadeDF2T group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
new file mode 100644
index 00000000..922a3965
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
@@ -0,0 +1,652 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_f32.c
+ * Description: Processing function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+*/
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in] S points to an instance of the filter data structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if (defined(ARM_MATH_MVEF) && defined(ARM_MATH_HELIUM_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+
+void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t Xn0, Xn1;
+ float32_t acc0, acc1;
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ float32_t const *pCurCoeffs = /* coefficient pointer */
+ (float32_t const *) S->pCoeffs;
+ f32x4_t b0Coeffs, a0Coeffs; /* Coefficients vector */
+ f32x4_t b1Coeffs, a1Coeffs; /* Modified coef. vector */
+ f32x4_t state; /* State vector */
+
+ do
+ {
+ /*
+ * temporary carry variable for feeding the 128-bit vector shifter
+ */
+ uint32_t tmp = 0;
+ /*
+ * Reading the coefficients
+ * b0Coeffs = {b0, b1, b2, x}
+ * a0Coeffs = { x, a1, a2, x}
+ */
+ b0Coeffs = vld1q(pCurCoeffs); pCurCoeffs+= 2;
+ a0Coeffs = vld1q(pCurCoeffs); pCurCoeffs+= 3;
+ /*
+ * Reading the state values
+ * state = {d1, d2, 0, 0}
+ */
+ state = *(f32x4_t *) pState;
+ state = vsetq_lane(0.0f, state, 2);
+ state = vsetq_lane(0.0f, state, 3);
+
+ /* b1Coeffs = {b0, b1, b2, x} */
+ /* b1Coeffs = { x, x, a1, a2} */
+ b1Coeffs = (f32x4_t)vshlcq_s32((int32x4_t)b0Coeffs, &tmp, 32);
+ a1Coeffs = (f32x4_t)vshlcq_s32((int32x4_t)a0Coeffs, &tmp, 32);
+
+ sample = blockSize / 2;
+
+ /* unrolled 2 x */
+ while (sample > 0U)
+ {
+ /*
+ * Read 2 inputs
+ */
+ Xn0 = *pIn++;
+ Xn1 = *pIn++;
+
+ /*
+ * 1st half:
+ * / acc0 \ / b0 \ / d1 \ / 0 \
+ * | d1 | = | b1 | * Xn0 + | d2 | + | a1 | x acc0
+ * | d2 | | b2 | | 0 | | a2 |
+ * \ x / \ x / \ x / \ x /
+ */
+
+ state = vfmaq(state, b0Coeffs, Xn0);
+ acc0 = vgetq_lane(state, 0);
+ state = vfmaq(state, a0Coeffs, acc0);
+ state = vsetq_lane(0.0f, state, 3);
+
+ /*
+ * 2nd half:
+ * same as 1st half, but all vector elements shifted down.
+ * / x \ / x \ / x \ / x \
+ * | acc1 | = | b0 | * Xn1 + | d1 | + | 0 | x acc1
+ * | d1 | | b1 | | d2 | | a1 |
+ * \ d2 / \ b2 / \ 0 / \ a2 /
+ */
+
+ state = vfmaq(state, b1Coeffs, Xn1);
+ acc1 = vgetq_lane(state, 1);
+ state = vfmaq(state, a1Coeffs, acc1);
+
+ /* move d1, d2 up + clearing */
+ /* expect dual move or long move */
+ state = vsetq_lane(vgetq_lane(state, 2), state, 0);
+ state = vsetq_lane(vgetq_lane(state, 3), state, 1);
+ state = vsetq_lane(0.0f, state, 2);
+ /*
+ * Store the results in the destination buffer.
+ */
+ *pOut++ = acc0;
+ *pOut++ = acc1;
+ /*
+ * decrement the loop counter
+ */
+ sample--;
+ }
+
+ /*
+ * tail handling
+ */
+ if (blockSize & 1)
+ {
+ Xn0 = *pIn++;
+ state = vfmaq(state, b0Coeffs, Xn0);
+ acc0 = vgetq_lane(state, 0);
+
+ state = vfmaq(state, a0Coeffs, acc0);
+ *pOut++ = acc0;
+ *pState++ = vgetq_lane(state, 1);
+ *pState++ = vgetq_lane(state, 2);
+ }
+ else
+ {
+ *pState++ = vgetq_lane(state, 0);
+ *pState++ = vgetq_lane(state, 1);
+ }
+ /*
+ * The current stage output is given as the input to the next stage
+ */
+ pIn = pDst;
+ /*
+ * Reset the output working pointer
+ */
+ pOut = pDst;
+ /*
+ * decrement the loop counter
+ */
+ stage--;
+ }
+ while (stage > 0U);
+}
+#else
+#if defined(ARM_MATH_NEON)
+
+void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* source pointer */
+ float32_t *pOut = pDst; /* destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float32_t acc1; /* accumulator */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float32_t Xn1; /* temporary input */
+ float32_t d1, d2; /* state variables */
+ uint32_t sample, stageCnt,stage = S->numStages; /* loop counters */
+
+
+ float32x4_t XnV, YnV;
+ float32x4x2_t dV;
+ float32x4_t zeroV = vdupq_n_f32(0.0);
+ float32x4_t t1,t2,t3,t4,b1V,b2V,a1V,a2V,s;
+
+ /* Loop unrolling. Compute 4 outputs at a time */
+ stageCnt = stage >> 2;
+
+ while (stageCnt > 0U)
+ {
+ /* Reading the coefficients */
+ t1 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ t2 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ t3 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ t4 = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ b1V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ b2V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ a1V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ a2V = vld1q_f32(pCoeffs);
+ pCoeffs += 4;
+
+ /* Reading the state values */
+ dV = vld2q_f32(pState);
+
+ sample = blockSize;
+
+ while (sample > 0U) {
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+ XnV = vdupq_n_f32(*pIn++);
+
+ s = dV.val[0];
+ YnV = s;
+
+ s = vextq_f32(zeroV,dV.val[0],3);
+ YnV = vmlaq_f32(YnV, t1, s);
+
+ s = vextq_f32(zeroV,dV.val[0],2);
+ YnV = vmlaq_f32(YnV, t2, s);
+
+ s = vextq_f32(zeroV,dV.val[0],1);
+ YnV = vmlaq_f32(YnV, t3, s);
+
+ YnV = vmlaq_f32(YnV, t4, XnV);
+
+ s = vextq_f32(XnV,YnV,3);
+
+ dV.val[0] = vmlaq_f32(dV.val[1], s, b1V);
+ dV.val[0] = vmlaq_f32(dV.val[0], YnV, a1V);
+
+ dV.val[1] = vmulq_f32(s, b2V);
+ dV.val[1] = vmlaq_f32(dV.val[1], YnV, a2V);
+
+ *pOut++ = vgetq_lane_f32(YnV, 3) ;
+
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ vst2q_f32(pState,dV);
+ pState += 8;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /*Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement the loop counter */
+ stageCnt--;
+
+ }
+
+ /* Tail */
+ stageCnt = stage & 3;
+
+ while (stageCnt > 0U)
+ {
+ /* Reading the coefficients */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /*Reading the state values */
+ d1 = pState[0];
+ d2 = pState[1];
+
+ sample = blockSize;
+
+ while (sample > 0U)
+ {
+ /* Read the input */
+ Xn1 = *pIn++;
+
+ /* y[n] = b0 * x[n] + d1 */
+ acc1 = (b0 * Xn1) + d1;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = acc1;
+
+ /* Every time after the output is computed state should be updated. */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
+
+ /* d2 = b2 * x[n] + a2 * y[n] */
+ d2 = (b2 * Xn1) + (a2 * acc1);
+
+ /* decrement the loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ *pState++ = d1;
+ *pState++ = d2;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /*Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement the loop counter */
+ stageCnt--;
+ }
+}
+#else
+
+void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ const float32_t *pIn = pSrc; /* Source pointer */
+ float32_t *pOut = pDst; /* Destination pointer */
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t acc1; /* Accumulator */
+ float32_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float32_t Xn1; /* Temporary input */
+ float32_t d1, d2; /* State variables */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = pCoeffs[0];
+ b1 = pCoeffs[1];
+ b2 = pCoeffs[2];
+ a1 = pCoeffs[3];
+ a2 = pCoeffs[4];
+
+ /* Reading the state values */
+ d1 = pState[0];
+ d2 = pState[1];
+
+ pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 16 outputs at a time */
+ sample = blockSize >> 4U;
+
+ while (sample > 0U) {
+
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+/* 1 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 2 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 3 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 4 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 5 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 6 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 7 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 8 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 9 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 10 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 11 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 12 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 13 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 14 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 15 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 16 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0xFU;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U) {
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ pState[0] = d1;
+ pState[1] = d2;
+
+ pState += 2U;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /* Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
new file mode 100644
index 00000000..521f63b3
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
@@ -0,0 +1,443 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_f64.c
+ * Description: Processing function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+*/
+
+/**
+ @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure
+
+ This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.
+ The filters are implemented as a cascade of second order Biquad sections.
+ These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.
+ Only floating-point data is supported.
+
+ This function operate on blocks of input and output data and each call to the function
+ processes blockSize samples through the filter.
+ pSrc points to the array of input data and
+ pDst points to the array of output data.
+ Both arrays contain blockSize values.
+
+ @par Algorithm
+ Each Biquad stage implements a second order filter using the difference equation:
+ + y[n] = b0 * x[n] + d1 + d1 = b1 * x[n] + a1 * y[n] + d2 + d2 = b2 * x[n] + a2 * y[n] ++ where d1 and d2 represent the two state values. + @par + A Biquad filter using a transposed Direct Form II structure is shown below. + \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad" + Coefficients
b0, b1, and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients.
+ Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.
+ Pay careful attention to the sign of the feedback coefficients.
+ Some design tools flip the sign of the feedback coefficients:
+ + y[n] = b0 * x[n] + d1; + d1 = b1 * x[n] - a1 * y[n] + d2; + d2 = b2 * x[n] - a2 * y[n]; ++ In this case the feedback coefficients
a1 and a2 must be negated when used with the CMSIS DSP Library.
+ @par
+ Higher order filters are realized as a cascade of second order sections.
+ numStages refers to the number of second order stages used.
+ For example, an 8th order filter would be realized with numStages=4 second order stages.
+ A 9th order filter would be realized with numStages=5 second order stages with the
+ coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).
+ @par
+ pState points to the state variable array.
+ Each Biquad stage has 2 state variables d1 and d2.
+ The state variables are arranged in the pState array as:
+
+ {d11, d12, d21, d22, ...}
+
+ where d1x refers to the state variables for the first Biquad and
+ d2x refers to the state variables for the second Biquad.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ @par
+ The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.
+ The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.
+ That is why the Direct Form I structure supports Q15 and Q31 data types.
+ The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2.
+ Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.
+ The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+
+ @par Init Functions
+ There is also an associated initialization function.
+ The initialization function performs following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ For example, to statically initialize the instance structure use
+
+ arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};
+ arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
+
+ where numStages is the number of Biquad stages in the filter;
+ pState is the address of the state buffer.
+ pCoeffs is the address of the coefficient buffer;
+*/
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in] S points to an instance of the filter data structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+
+void arm_biquad_cascade_df2T_f64(
+ const arm_biquad_cascade_df2T_instance_f64 * S,
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize)
+{
+
+ const float64_t *pIn = pSrc; /* Source pointer */
+ float64_t *pOut = pDst; /* Destination pointer */
+ float64_t *pState = S->pState; /* State pointer */
+ const float64_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float64_t acc1; /* Accumulator */
+ float64_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ float64_t Xn1; /* Temporary input */
+ float64_t d1, d2; /* State variables */
+ uint32_t sample, stage = S->numStages; /* Loop counters */
+
+
+ do
+ {
+ /* Reading the coefficients */
+ b0 = pCoeffs[0];
+ b1 = pCoeffs[1];
+ b2 = pCoeffs[2];
+ a1 = pCoeffs[3];
+ a2 = pCoeffs[4];
+
+ /* Reading the state values */
+ d1 = pState[0];
+ d2 = pState[1];
+
+ pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 16 outputs at a time */
+ sample = blockSize >> 4U;
+
+ while (sample > 0U) {
+
+ /* y[n] = b0 * x[n] + d1 */
+ /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+ /* d2 = b2 * x[n] + a2 * y[n] */
+
+/* 1 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+
+/* 2 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 3 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 4 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 5 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 6 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 7 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 8 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 9 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 10 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 11 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 12 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 13 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 14 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 15 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+/* 16 */
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ sample = blockSize & 0xFU;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (sample > 0U) {
+ Xn1 = *pIn++;
+
+ acc1 = b0 * Xn1 + d1;
+
+ d1 = b1 * Xn1 + d2;
+ d1 += a1 * acc1;
+
+ d2 = b2 * Xn1;
+ d2 += a2 * acc1;
+
+ *pOut++ = acc1;
+
+ /* decrement loop counter */
+ sample--;
+ }
+
+ /* Store the updated state variables back into the state array */
+ pState[0] = d1;
+ pState[1] = d2;
+
+ pState += 2U;
+
+ /* The current stage output is given as the input to the next stage */
+ pIn = pDst;
+
+ /* Reset the output working pointer */
+ pOut = pDst;
+
+ /* decrement loop counter */
+ stage--;
+
+ } while (stage > 0U);
+
+}
+
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f16.c
new file mode 100644
index 00000000..3f619e56
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f16.c
@@ -0,0 +1,114 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_init_f16.c
+ * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in,out] S points to an instance of the filter data structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order
+ in the not Neon version.
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+
+ For Neon version, this array is bigger. If numstages = 4x + y, then the array has size:
+ 32*x + 5*y
+ and it must be initialized using the function
+ arm_biquad_cascade_df2T_compute_coefs_f16 which is taking the
+ standard array coefficient as parameters.
+
+ But, an array of 8*numstages is a good approximation.
+
+ Then, the initialization can be done with:
+ + arm_biquad_cascade_df2T_init_f16(&SNeon, nbCascade, neonCoefs, stateNeon); + arm_biquad_cascade_df2T_compute_coefs_f16(&SNeon,nbCascade,coefs); ++ + @par In this example, neonCoefs is a bigger array of size 8 * numStages. + coefs is the standard array: + +
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df2T_init_f16(
+ arm_biquad_cascade_df2T_instance_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ float16_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 2 * numStages */
+ memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float16_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
new file mode 100644
index 00000000..e3b350c3
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
@@ -0,0 +1,214 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_init_f32.c
+ * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+
+
+#if defined(ARM_MATH_NEON)
+/**
+ @brief Compute new coefficient arrays for use in vectorized filter (Neon only).
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the original filter coefficients.
+ @param[in] pComputedCoeffs points to the new computed coefficients for the vectorized Neon version.
+ @return none
+
+ @par Size of coefficient arrays:
+ pCoeffs has size 5 * numStages
+
+ pComputedCoeffs has size 8 * numStages
+
+ pComputedCoeffs is the array to be used in arm_biquad_cascade_df2T_init_f32.
+
+*/
+void arm_biquad_cascade_df2T_compute_coefs_f32(
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pComputedCoeffs)
+{
+ uint8_t cnt;
+ float32_t b0[4],b1[4],b2[4],a1[4],a2[4];
+
+ cnt = numStages >> 2;
+ while(cnt > 0)
+ {
+ for(int i=0;i<4;i++)
+ {
+ b0[i] = pCoeffs[0];
+ b1[i] = pCoeffs[1];
+ b2[i] = pCoeffs[2];
+ a1[i] = pCoeffs[3];
+ a2[i] = pCoeffs[4];
+ pCoeffs += 5;
+ }
+
+ /* Vec 1 */
+ *pComputedCoeffs++ = 0;
+ *pComputedCoeffs++ = b0[1];
+ *pComputedCoeffs++ = b0[2];
+ *pComputedCoeffs++ = b0[3];
+
+ /* Vec 2 */
+ *pComputedCoeffs++ = 0;
+ *pComputedCoeffs++ = 0;
+ *pComputedCoeffs++ = b0[1] * b0[2];
+ *pComputedCoeffs++ = b0[2] * b0[3];
+
+ /* Vec 3 */
+ *pComputedCoeffs++ = 0;
+ *pComputedCoeffs++ = 0;
+ *pComputedCoeffs++ = 0;
+ *pComputedCoeffs++ = b0[1] * b0[2] * b0[3];
+
+ /* Vec 4 */
+ *pComputedCoeffs++ = b0[0];
+ *pComputedCoeffs++ = b0[0] * b0[1];
+ *pComputedCoeffs++ = b0[0] * b0[1] * b0[2];
+ *pComputedCoeffs++ = b0[0] * b0[1] * b0[2] * b0[3];
+
+ /* Vec 5 */
+ *pComputedCoeffs++ = b1[0];
+ *pComputedCoeffs++ = b1[1];
+ *pComputedCoeffs++ = b1[2];
+ *pComputedCoeffs++ = b1[3];
+
+ /* Vec 6 */
+ *pComputedCoeffs++ = b2[0];
+ *pComputedCoeffs++ = b2[1];
+ *pComputedCoeffs++ = b2[2];
+ *pComputedCoeffs++ = b2[3];
+
+ /* Vec 7 */
+ *pComputedCoeffs++ = a1[0];
+ *pComputedCoeffs++ = a1[1];
+ *pComputedCoeffs++ = a1[2];
+ *pComputedCoeffs++ = a1[3];
+
+ /* Vec 8 */
+ *pComputedCoeffs++ = a2[0];
+ *pComputedCoeffs++ = a2[1];
+ *pComputedCoeffs++ = a2[2];
+ *pComputedCoeffs++ = a2[3];
+
+ cnt--;
+ }
+
+ cnt = numStages & 0x3;
+ while(cnt > 0)
+ {
+ *pComputedCoeffs++ = *pCoeffs++;
+ *pComputedCoeffs++ = *pCoeffs++;
+ *pComputedCoeffs++ = *pCoeffs++;
+ *pComputedCoeffs++ = *pCoeffs++;
+ *pComputedCoeffs++ = *pCoeffs++;
+ cnt--;
+ }
+
+}
+#endif
+
+/**
+ @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in,out] S points to an instance of the filter data structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order
+ in the not Neon version.
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+
+ For Neon version, this array is bigger. If numstages = 4x + y, then the array has size:
+ 32*x + 5*y
+ and it must be initialized using the function
+ arm_biquad_cascade_df2T_compute_coefs_f32 which is taking the
+ standard array coefficient as parameters.
+
+ But, an array of 8*numstages is a good approximation.
+
+ Then, the initialization can be done with:
+ + arm_biquad_cascade_df2T_compute_coefs_f32(nbCascade,coefs,computedCoefs); + arm_biquad_cascade_df2T_init_f32(&SNeon, nbCascade, computedCoefs, stateNeon); ++ + @par In this example, computedCoefs is a bigger array of size 8 * numStages. + coefs is the standard array: + +
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+
+
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+void arm_biquad_cascade_df2T_init_f32(
+ arm_biquad_cascade_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 2 * numStages */
+ memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
new file mode 100644
index 00000000..5ab1c9a2
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
@@ -0,0 +1,86 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_df2T_init_f64.c
+ * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in,out] S points to an instance of the filter data structure
+ @param[in] numStages number of 2nd order stages in the filter
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df2T_init_f64(
+ arm_biquad_cascade_df2T_instance_f64 * S,
+ uint8_t numStages,
+ const float64_t * pCoeffs,
+ float64_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 2 * numStages */
+ memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float64_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f16.c
new file mode 100644
index 00000000..60caf8d2
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f16.c
@@ -0,0 +1,434 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_stereo_df2T_f16.c
+ * Description: Processing function for floating-point transposed direct form II Biquad cascade filter. 2 channels
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupFilters
+*/
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in] S points to an instance of the filter data structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) && defined(__CMSIS_GCC_H)
+#pragma GCC warning "Scalar version of arm_biquad_cascade_stereo_df2T_f16 built. Helium version has build issues with gcc."
+#endif
+
+#if (defined(ARM_MATH_MVE_FLOAT16) && defined(ARM_MATH_HELIUM_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) && !defined(__CMSIS_GCC_H)
+void arm_biquad_cascade_stereo_df2T_f16(
+ const arm_biquad_cascade_stereo_df2T_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize)
+{
+ float16_t *pIn = (float16_t *)pSrc; /* source pointer */
+ float16_t *pOut = pDst; /* destination pointer */
+ float16_t *pState = S->pState; /* State pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* coefficient pointer */
+ float16_t b0, b1, b2, a1, a2; /* Filter coefficients */
+ uint32_t sample, stage = S->numStages; /* loop counters */
+ static const uint16_t idx2[] = {2, 3, 8, 9, 2, 3, 8, 9};
+ f16x8_t aCoeffs, bCoeffs;
+ float16_t scratch[16];
+ uint16x8_t loadIdxVec;
+ uint16x8_t reshufledIdxVec;
+ uint16_t startIdx = 0;
+ f16x8_t stateVec0, stateVec1;
+ f16x8_t inVec;
+
+ /*
+ * {0, 1, 0, 1, 0, 1, 0, 1} generator
+ */
+ loadIdxVec = viwdupq_u16(startIdx, 2, 1);
+ reshufledIdxVec = *(uint16x8_t *)&idx2;
+
+ /*
+ * scratch top clearing
+ * layout : [d1a d1b d2a d2b d1a d1b d2a d2b 0 0]
+ */
+ scratch[8] = (float16_t)0.0;
+ scratch[9] = (float16_t)0.0;
+
+ do
+ {
+ /*
+ * Reading the coefficients
+ */
+ b0 = *pCoeffs++;
+ b1 = *pCoeffs++;
+ b2 = *pCoeffs++;
+ a1 = *pCoeffs++;
+ a2 = *pCoeffs++;
+
+ /* aCoeffs = {a1 a1 a2 a2 a1 a1 a2 a2} */
+ aCoeffs = vdupq_n_f16(a1);
+ aCoeffs = vsetq_lane(a2, aCoeffs, 2);
+ aCoeffs = vsetq_lane(a2, aCoeffs, 3);
+ aCoeffs = vsetq_lane(a2, aCoeffs, 6);
+ aCoeffs = vsetq_lane(a2, aCoeffs, 7);
+
+ /* bCoeffs = {b1 b1 b2 b2 b1 b1 b2 b2} */
+ bCoeffs = vdupq_n_f16(b1);
+ bCoeffs = vsetq_lane(b2, bCoeffs, 2);
+ bCoeffs = vsetq_lane(b2, bCoeffs, 3);
+ bCoeffs = vsetq_lane(b2, bCoeffs, 6);
+ bCoeffs = vsetq_lane(b2, bCoeffs, 7);
+
+ /*
+ * Reading the state values
+ * Save into scratch
+ */
+ *(f16x8_t *) scratch = *(f16x8_t *) pState;
+
+ sample = blockSize;
+
+ while (sample > 0U)
+ {
+ /*
+ * step 1
+ *
+ * 0 | acc1a = xn1a * b0 + d1a
+ * 1 | acc1b = xn1b * b0 + d1b
+ * 2 | acc1a = xn1a * b0 + d1a
+ * 3 | acc1b = xn1b * b0 + d1b
+ * 4 | pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2 for each channel.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_stereo_df2T_init_f16(
+ arm_biquad_cascade_stereo_df2T_instance_f16 * S,
+ uint8_t numStages,
+ const float16_t * pCoeffs,
+ float16_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float16_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
new file mode 100644
index 00000000..6932b9a4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
@@ -0,0 +1,86 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_biquad_cascade_stereo_df2T_init_f32.c
+ * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup BiquadCascadeDF2T
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ @param[in,out] S points to an instance of the filter data structure.
+ @param[in] numStages number of 2nd order stages in the filter.
+ @param[in] pCoeffs points to the filter coefficients.
+ @param[in] pState points to the state buffer.
+ @return none
+
+ @par Coefficient and State Ordering
+ The coefficients are stored in the array pCoeffs in the following order:
+
+ {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par
+ where b1x and a1x are the coefficients for the first stage,
+ b2x and a2x are the coefficients for the second stage,
+ and so on. The pCoeffs array contains a total of 5*numStages values.
+ @par
+ The pState is a pointer to state array.
+ Each Biquad stage has 2 state variables d1, and d2 for each channel.
+ The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+ The state array has a total length of 2*numStages values.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_stereo_df2T_init_f32(
+ arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ uint8_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter stages */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always 4 * numStages */
+ memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of BiquadCascadeDF2T group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c
new file mode 100644
index 00000000..7f2dd81d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c
@@ -0,0 +1,964 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_f32.c
+ * Description: Convolution of floating-point sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup Conv Convolution
+
+ Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector.
+ Convolution is similar to correlation and is frequently used in filtering and data analysis.
+ The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types.
+ The library also provides fast versions of the Q15 and Q31 functions.
+
+ @par Algorithm
+ Let a[n] and b[n] be sequences of length srcALen and
+ srcBLen samples respectively. Then the convolution
+ + c[n] = a[n] * b[n] ++ @par + is defined as + \image html ConvolutionEquation.gif + @par + Note that
c[n] is of length srcALen + srcBLen - 1 and is defined over the interval n=0, 1, 2, ..., srcALen + srcBLen - 2.
+ pSrcA points to the first input vector of length srcALen and
+ pSrcB points to the second input vector of length srcBLen.
+ The output result is written to pDst and the calling function must allocate srcALen+srcBLen-1 words for the result.
+ @par
+ Conceptually, when two signals a[n] and b[n] are convolved,
+ the signal b[n] slides over a[n].
+ For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together.
+ @par
+ Note that convolution is a commutative operation:
+ + a[n] * b[n] = b[n] * a[n]. ++ @par + This means that switching the A and B arguments to the convolution functions has no effect. + + @par Fixed-Point Behavior + Convolution requires summing up a large number of intermediate products. + As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. + Refer to the function specific documentation below for further details of the particular algorithm used. + + @par Fast Versions + Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires + the input signals should be scaled down to avoid intermediate overflows. + + @par Opt Versions + Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of floating-point sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" + + +void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + const float32_t *pIn1 = pSrcA; /* inputA pointer */ + const float32_t *pIn2 = pSrcB; /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const float32_t *pX; + const float32_t *pY; + const float32_t *pA; + const float32_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t block1, block2, block3; + uint32_t vddupStartIdx = 3; + uint32x4_t decrIdxVec = vddupq_u32(vddupStartIdx, 1); + + if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2 - 3; + + for (i = 0; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is incrementing for successive accumulators + * Y pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst++ = acc0; + *pDst++ = acc1; + pB += 2; + } + + for (; i < block1; i++) + { + uint32_t count = i + 1; + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pB++; + } + + for (i = 0; i <= block2 - 2; i += 2) + { + uint32_t count = srcBLen; + float32_t acc0 = 0; + float32_t acc1 = 0; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count); + *pDst++ = acc0; + *pDst++ = acc1; + pA += 2; + } + if (block2 & 1) + { + uint32_t count = srcBLen; + float32_t acc = 0; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pA++; + } + + for (i = block3; i >= 2; i -= 2) + { + int32_t count = i; + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is decrementing for successive accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst++ = acc0; + *pDst++ = acc1; + pA += 2; + } + for (; i >= 1; i--) + { + int32_t count = i; + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pA++; + } +} +#else +void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + +#if defined(ARM_MATH_DSP) + + const float32_t *pIn1; /* InputA pointer */ + const float32_t *pIn2; /* InputB pointer */ + float32_t *pOut = pDst; /* Output pointer */ + const float32_t *px; /* Intermediate inputA pointer */ + const float32_t *py; /* Intermediate inputB pointer */ + const float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ + float32_t sum; /* Accumulators */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + float32_t acc0, acc1, acc2, acc3, c0; /* Accumulators */ +#if !defined(ARM_MATH_NEON) + float32_t x0, x1, x2, x3; /* Temporary variables to hold state and coefficient values */ +#endif +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ +#if defined(ARM_MATH_NEON) + float32x4_t vec1; + float32x4_t vec2; + float32x4_t res = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0); +#endif /* #if defined(ARM_MATH_NEON) */ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + +#if defined(ARM_MATH_NEON) + res = vdupq_n_f32(0) ; + accum = vdup_n_f32(0); + + /* Compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + + while (k > 0U) + { + vec1 = vld1q_f32(px); + vec2 = vld1q_f32(py-3); + vec2 = vrev64q_f32(vec2); + vec2 = vcombine_f32(vget_high_f32(vec2), vget_low_f32(vec2)); + + res = vmlaq_f32(res,vec1, vec2); + + /* Increment pointers */ + px += 4; + py -= 4; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count & 3; +#else + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* x[1] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* x[2] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* x[3] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#endif /* #if defined(ARM_MATH_NEON) */ + +#else /* defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + +#if defined(ARM_MATH_NEON) + float32x4_t c; + float32x4_t x1v; + float32x4_t x2v; + float32x4_t x; + float32x4_t res = vdupq_n_f32(0) ; +#endif /* #if defined(ARM_MATH_NEON) */ + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + +#if defined(ARM_MATH_NEON) + res = vdupq_n_f32(0) ; + + x1v = vld1q_f32(px); + x2v = vld1q_f32(px+4); + + do + { + c = vld1q_f32(py-3); + + px += 4; + x = x1v; + res = vmlaq_n_f32(res,x,c[3]); + + x = vextq_f32(x1v,x2v,1); + + res = vmlaq_n_f32(res,x,c[2]); + + x = vextq_f32(x1v,x2v,2); + + res = vmlaq_n_f32(res,x,c[1]); + + x = vextq_f32(x1v,x2v,3); + + res = vmlaq_n_f32(res,x,c[0]); + + py -= 4; + + x1v = x2v ; + x2v = vld1q_f32(px+4); + + } while (--k); + + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen & 0x3; + + x1v = vld1q_f32(px); + px += 4; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + res = vmlaq_n_f32(res,x1v,c0); + + /* Reuse the present samples for the next MAC */ + x1v[0] = x1v[1]; + x1v[1] = x1v[2]; + x1v[2] = x1v[3]; + + x1v[3] = *(px++); + + /* Decrement the loop counter */ + k--; + } + + acc0 = res[0]; + acc1 = res[1]; + acc2 = res[2]; + acc3 = res[3]; + +#else + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += x0 * c0; + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += x1 * c0; + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += x2 * c0; + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 += x3 * c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 += x0 * c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 += x1 * c0; + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *(px + 3U); + px += 4U; + + /* Perform the multiply-accumulate */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 += x2 * c0; + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } +#endif /* #if defined(ARM_MATH_NEON) */ + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc0; + *pOut++ = acc1; + *pOut++ = acc2; + *pOut++ = acc3; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined (ARM_MATH_NEON)*/ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL) + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + +#if defined (ARM_MATH_NEON) + float32x4_t res = vdupq_n_f32(0) ; + float32x4_t x = vdupq_n_f32(0) ; + float32x4_t y = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0) ; + + /* First part of the processing. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py-3); + + y = vrev64q_f32(y); + y = vcombine_f32(vget_high_f32(y), vget_low_f32(y)); + + res = vmlaq_f32(res,x,y); + + px += 4 ; + py -= 4 ; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen & 0x3U; + +#else + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#endif /* if defined (ARM_MATH_NEON) */ +#else + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + /* Loop unrolling: Compute 4 outputs at a time */ + k = blockSize3 >> 2U; + +#if defined(ARM_MATH_NEON) + float32x4_t res = vdupq_n_f32(0) ; + float32x4_t x = vdupq_n_f32(0) ; + float32x4_t y = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0) ; + + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py-3); + + y = vrev64q_f32(y); + y = vcombine_f32(vget_high_f32(y), vget_low_f32(y)); + + res = vmlaq_f32(res,x,y); + + px += 4 ; + py -= 4 ; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + +#else + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } +#endif /* #if defined (ARM_MATH_NEON) */ + + /* Loop unrolling: Compute remaining outputs */ + k = blockSize3 % 0x4U; +#else + + /* Initialize blkCnt with number of samples */ + k = blockSize3; + +#endif /* #if defined (ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL)*/ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const float32_t *pIn1 = pSrcA; /* InputA pointer */ + const float32_t *pIn2 = pSrcB; /* InputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i < (srcALen + srcBLen - 1U); i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ( pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = sum; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Conv group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c new file mode 100644 index 00000000..06629f1a --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c @@ -0,0 +1,366 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_opt_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/filtering_functions.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1 + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2 + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results + but provides only a single guard bit. There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q31_t acc0; /* Accumulators */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ +#endif + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch1 buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumulate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumulate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumulate */ + acc0 = __SMLAD(x2, y2, acc0); + acc2 = __SMLAD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + acc1 = __SMLADX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumulate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumulate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Conv group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c new file mode 100644 index 00000000..5337a82e --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c @@ -0,0 +1,663 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/filtering_functions.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1 + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results + but provides only a single guard bit. There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + (count - 1U); + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + /* Read y[srcBLen - 7] */ + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT((acc0 >> 15), (acc1 >> 15), 16)); + write_q15x2_ia (&pOut, __PKHBT((acc2 >> 15), (acc3 >> 15), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT((acc1 >> 15), (acc0 >> 15), 16)); + write_q15x2_ia (&pOut, __PKHBT((acc3 >> 15), (acc2 >> 15), 16)); +#endif /*#ifndef ARM_MATH_BIG_ENDIAN*/ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = blockSize3 >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +} + +/** + @} end of Conv group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c new file mode 100644 index 00000000..133c322c --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c @@ -0,0 +1,558 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q31.c + * Description: Fast Q31 Convolution + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/filtering_functions.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence. + @param[in] srcALen length of the first input sequence. + @param[in] pSrcB points to the second input sequence. + @param[in] srcBLen length of the second input sequence. + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + + @par Scaling and Overflow Behavior + This function is optimized for speed at the expense of fixed-point precision and overflow protection. + The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + These intermediate results are accumulated in a 32-bit register in 2.30 format. + Finally, the accumulator is saturated and converted to a 1.31 result. + @par + The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signals must be scaled down. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + @remark + Refer to \ref arm_conv_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. + */ + +void arm_conv_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[1] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[2] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[3] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[srcBLen - 3] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[srcBLen - 3] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[srcBLen - 3] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 << 1); + *pOut++ = (q31_t) (acc1 << 1); + *pOut++ = (q31_t) (acc2 << 1); + *pOut++ = (q31_t) (acc3 << 1); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement loop counter */ + blockSize3--; + } + +} + +/** + @} end of Conv group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c new file mode 100644 index 00000000..1f3efe00 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c @@ -0,0 +1,362 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q15.c + * Description: Convolution of Q15 sequences + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/filtering_functions.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both inputs are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. + The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + @remark + Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function. + */ + +void arm_conv_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q63_t acc0; /* Accumulators */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ +#endif + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch1 buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumulate */ + acc0 = __SMLALD(x1, y1, acc0); + acc2 = __SMLALD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumulate */ + acc1 = __SMLALDX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumulate */ + acc0 = __SMLALD(x2, y2, acc0); + acc2 = __SMLALD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumulate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumulate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Conv group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c new file mode 100644 index 00000000..1f12f0d2 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c @@ -0,0 +1,360 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q7.c + * Description: Convolution of Q7 sequences + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/filtering_functions.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + This approach provides 17 guard bits and there is no risk of overflow as long as
max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ */
+
+void arm_conv_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */
+ q15_t x4; /* Temporary input variable */
+ q15_t *py; /* Temporary input2 pointer */
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */
+ uint32_t j, k, blkCnt, tapCnt; /* Loop counter */
+ q31_t x1, x2, x3, y1; /* Temporary input variables */
+ const q7_t *px; /* Temporary input1 pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ q7_t out0, out1, out2, out3; /* Temporary variables */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* points to smaller length sequence */
+ px = pIn2 + srcBLen - 1;
+
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcALen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcALen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) * pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = (q7_t *) py;
+
+ pScr2 = py;
+
+ /* Actual convolution process starts here */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2U;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x2, y1, acc0);
+
+ acc2 = __SMLAD(x1, y1, acc2);
+
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pScr2);
+ acc1 += (*pScr1++ * *pScr2);
+ acc2 += (*pScr1++ * *pScr2);
+ acc3 += (*pScr1++ * *pScr2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ out0 = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ out1 = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ out2 = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ out3 = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+ write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ acc0 += (*pScr1++ * *pScr2++);
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 1U;
+ }
+
+}
+
+/**
+ @} end of Conv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c
new file mode 100644
index 00000000..a8a9bd1a
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c
@@ -0,0 +1,678 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_f32.c
+ * Description: Partial convolution of floating-point sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup PartialConv Partial Convolution
+
+ Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated.
+ Each function has two additional arguments.
+ firstIndex specifies the starting index of the subset of output samples.
+ numPoints is the number of output samples to compute.
+ The function computes the output in the range
+ [firstIndex, ..., firstIndex+numPoints-1].
+ The output array pDst contains numPoints values.
+
+ The allowable range of output indices is [0 srcALen+srcBLen-2].
+ If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR.
+ Otherwise the functions return ARM_MATH_SUCCESS.
+ \note Refer to \ref arm_conv_f32() for details on fixed point behavior.
+
+ @par Fast Versions
+ Fast versions are supported for Q31 and Q15 of partial convolution.
+ Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires
+ the input signals should be scaled down to avoid intermediate overflows.
+
+ @par Opt Versions
+ Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation.
+ These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of partial convolution
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of floating-point sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ */
+
+arm_status arm_conv_partial_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+#if defined (ARM_MATH_DSP)
+ const float32_t *pIn1 = pSrcA; /* InputA pointer */
+ const float32_t *pIn2 = pSrcB; /* InputB pointer */
+ float32_t *pOut = pDst; /* Output pointer */
+ const float32_t *px; /* Intermediate inputA pointer */
+ const float32_t *py; /* Intermediate inputB pointer */
+ const float32_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ float32_t sum; /* Accumulator */
+ uint32_t j, k, count, blkCnt, check;
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t acc0, acc1, acc2, acc3; /* Accumulator */
+ float32_t x0, x1, x2, x3, c0; /* Temporary variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t)numPoints) : 0;
+ blockSize2 = ((int32_t) check - blockSize3) - (blockSize1 + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + firstIndex;
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum += *px++ * *py--;
+
+ /* x[1] * y[srcBLen - 2] */
+ sum += *px++ * *py--;
+
+ /* x[2] * y[srcBLen - 3] */
+ sum += *px++ * *py--;
+
+ /* x[3] * y[srcBLen - 4] */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc1;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 += x0 * c0;
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 += x1 * c0;
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 += x2 * c0;
+ /* acc3 += x[3] * y[srcBLen - 1] */
+ acc3 += x3 * c0;
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *py--;
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 += x1 * c0;
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 += x2 * c0;
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 += x3 * c0;
+ /* acc3 += x[4] * y[srcBLen - 2] */
+ acc3 += x0 * c0;
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 += x2 * c0;
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 += x3 * c0;
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 += x0 * c0;
+ /* acc3 += x[5] * y[srcBLen - 2] */
+ acc3 += x1 * c0;
+
+ /* Read y[srcBLen - 4] sample */
+ c0 = *py--;
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[3] * y[srcBLen - 4] */
+ acc0 += x3 * c0;
+ /* acc1 += x[4] * y[srcBLen - 4] */
+ acc1 += x0 * c0;
+ /* acc2 += x[5] * y[srcBLen - 4] */
+ acc2 += x1 * c0;
+ /* acc3 += x[6] * y[srcBLen - 4] */
+ acc3 += x2 * c0;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += x0 * c0;
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += x1 * c0;
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += x2 * c0;
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 += x3 * c0;
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = acc0;
+ *pOut++ = acc1;
+ *pOut++ = acc2;
+ *pOut++ = acc3;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ if (firstIndex > srcALen)
+ {
+ pSrc1 = (pIn1 + firstIndex) - (srcBLen - 1U);
+ }
+ else
+ {
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum += *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum += *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum += *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const float32_t *pIn1 = pSrcA; /* InputA pointer */
+ const float32_t *pIn2 = pSrcB; /* InputB pointer */
+ float32_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0.0f;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ( pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = sum;
+ }
+
+ /* Set status as ARM_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* defined(ARM_MATH_DSP) */
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
new file mode 100644
index 00000000..a6b9ecf3
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
@@ -0,0 +1,387 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_fast_opt_q15.c
+ * Description: Fast Q15 Partial convolution
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2
+ @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen)
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+arm_status arm_conv_partial_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */
+ q31_t acc0; /* Accumulator */
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ const q15_t *px; /* Intermediate inputA pointer */
+ q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, k, blkCnt; /* Loop counter */
+ uint32_t tapCnt; /* Loop count */
+ arm_status status; /* Status variable */
+ q31_t x1; /* Temporary variables to hold state and coefficient values */
+ q31_t y1; /* State variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulator */
+ q31_t x2, x3; /* Temporary variables to hold state and coefficient values */
+ q31_t y2; /* State variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* pointer to take end of scratch2 buffer */
+ pScr2 = pScratch2 + srcBLen - 1;
+
+ /* points to smaller length sequence */
+ px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ /* Copy smaller length input sequence in reverse order into second scratch buffer */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Initialze temporary scratch pointer */
+ pScr1 = pScratch1;
+
+ /* Assuming scratch1 buffer is aligned by 32-bit */
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = py;
+
+ pScratch1 += firstIndex;
+
+ pOut = pDst + firstIndex;
+
+ /* Actual convolution process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (numPoints) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x2, y2, acc0);
+ acc2 = __SMLAD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+ acc1 = __SMLADX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc3 = __SMLADX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numPoints & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numPoints;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read two samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x1, y1, acc0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ ** Then store the output in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 1U;
+
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
new file mode 100644
index 00000000..3e928180
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
@@ -0,0 +1,707 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_fast_q15.c
+ * Description: Fast Q15 Partial convolution
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ @remark
+ Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+arm_status arm_conv_partial_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables */
+ uint32_t j, k, count, blkCnt, check;
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations less than 4 */
+ /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ while ((count < 4U) && (blockSize1 > 0))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Loop over number of MAC operations between
+ * inputA samples and inputB samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* The second part of the stage starts here */
+ /* The internal loop, over count, is unrolled by 4 */
+ /* To, read the last two inputB samples using SIMD:
+ * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+ py = py - 1;
+
+ while (blockSize1 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2 - 1U;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ py = py - 1U;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the last two inputB samples using SIMD:
+ * y[srcBLen - 1] and y[srcBLen - 2] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLADX(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLADX(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLADX(x3, c0, acc3);
+
+ /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLADX(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLADX(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLADX(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLADX(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[srcBLen - 5] */
+ c0 = *(py + 1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD (x0, c0, acc0);
+ acc1 = __SMLAD (x1, c0, acc1);
+ acc2 = __SMLADX(x1, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLADX(x0, c0, acc0);
+ acc1 = __SMLADX(x1, c0, acc1);
+ acc2 = __SMLADX(x3, c0, acc2);
+ acc3 = __SMLADX(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLADX(x0, c0, acc0);
+ acc1 = __SMLADX(x1, c0, acc1);
+ acc2 = __SMLADX(x3, c0, acc2);
+ acc3 = __SMLADX(x2, c0, acc3);
+
+ c0 = *(py-1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLADX(x1, c0, acc0);
+ acc1 = __SMLAD (x2, c0, acc1);
+ acc2 = __SMLADX(x2, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(acc0 >> 15, acc1 >> 15, 16));
+ write_q15x2_ia (&pOut, __PKHBT(acc2 >> 15, acc3 >> 15, 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(acc1 >> 15, acc0 >> 15, 16));
+ write_q15x2_ia (&pOut, __PKHBT(acc3 >> 15, acc2 >> 15, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ No loop unrolling is used. */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) *px++ * *py--);
+ sum += ((q31_t) *px++ * *py--);
+ sum += ((q31_t) *px++ * *py--);
+ sum += ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ if (firstIndex > srcALen)
+ {
+ pSrc1 = (pIn1 + firstIndex) - (srcBLen - 1U);
+ }
+ else
+ {
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ pIn2 = pSrc2 - 1U;
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations greater than 4 */
+ /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ j = count >> 2U;
+
+ while ((j > 0U) && (blockSize3 > 0))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+ * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+ * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement the MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+
+ j--;
+ }
+
+ /* The second part of the stage starts here */
+ /* SIMD is not used for the next MAC operations,
+ * so pointer py is updated to read only one sample at a time */
+ py = py + 1U;
+
+ while (blockSize3 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = __SMLAD(*px++, *py--, sum);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (sum >> 15);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement the MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
new file mode 100644
index 00000000..65269bc9
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
@@ -0,0 +1,625 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_fast_q31.c
+ * Description: Fast Q31 Partial convolution
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q31 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.
+ */
+
+arm_status arm_conv_partial_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t sum; /* Accumulators */
+ uint32_t j, k, count, check, blkCnt;
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, x3, c0;
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t)numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* x[1] * y[srcBLen - 2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* x[2] * y[srcBLen - 3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* x[3] * y[srcBLen - 4] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[3] * y[srcBLen - 1] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *py--;
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc3 += x[4] * y[srcBLen - 2] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc3 += x[5] * y[srcBLen - 2] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+ /* Read y[srcBLen - 4] sample */
+ c0 = *py--;
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[3] * y[srcBLen - 4] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc1 += x[4] * y[srcBLen - 4] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc2 += x[5] * y[srcBLen - 4] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc3 += x[6] * y[srcBLen - 4] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (acc0 << 1);
+ *pOut++ = (q31_t) (acc1 << 1);
+ *pOut++ = (q31_t) (acc2 << 1);
+ *pOut++ = (q31_t) (acc3 << 1);
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) * px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ if (firstIndex > srcALen)
+ {
+ pSrc1 = (pIn1 + firstIndex) - (srcBLen - 1U);
+ }
+ else
+ {
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py--))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum << 1;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
new file mode 100644
index 00000000..7a9d6b18
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
@@ -0,0 +1,386 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_opt_q15.c
+ * Description: Partial convolution of Q15 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function.
+ */
+
+arm_status arm_conv_partial_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */
+ q63_t acc0; /* Accumulator */
+ q31_t x1; /* Temporary variables to hold state and coefficient values */
+ q31_t y1; /* State variables */
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ const q15_t *px; /* Intermediate inputA pointer */
+ q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, k, blkCnt; /* Loop counter */
+ uint32_t tapCnt; /* Loop count */
+ arm_status status; /* Status variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2, acc3; /* Accumulator */
+ q31_t x2, x3; /* Temporary variables to hold state and coefficient values */
+ q31_t y2; /* State variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* pointer to take end of scratch2 buffer */
+ pScr2 = pScratch2 + srcBLen - 1;
+
+ /* points to smaller length sequence */
+ px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ /* Copy smaller length input sequence in reverse order into second scratch buffer */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ *pScr2-- = *px++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Initialze temporary scratch pointer */
+ pScr1 = pScratch1;
+
+ /* Assuming scratch1 buffer is aligned by 32-bit */
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = py;
+
+ pScratch1 += firstIndex;
+
+ pOut = pDst + firstIndex;
+
+ /* Actual convolution process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (numPoints) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLALD(x1, y1, acc0);
+ acc2 = __SMLALD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc1 = __SMLALDX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumulate */
+ acc0 = __SMLALD(x2, y2, acc0);
+ acc2 = __SMLALD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y1, acc3);
+ acc1 = __SMLALDX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numPoints & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numPoints;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read two samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ acc0 = __SMLALD(x1, y1, acc0);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ ** Then store the output in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch1 += 1U;
+
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
new file mode 100644
index 00000000..a5c16c50
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
@@ -0,0 +1,390 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_opt_q7.c
+ * Description: Partial convolution of Q7 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ */
+
+arm_status arm_conv_partial_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */
+ q15_t x4; /* Temporary input variable */
+ const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */
+ uint32_t j, k, blkCnt, tapCnt; /* Loop counter */
+ const q7_t *px; /* Temporary input1 pointer */
+ q15_t *py; /* Temporary input2 pointer */
+ q31_t acc0, acc1, acc2, acc3; /* Accumulator */
+ q31_t x1, x2, x3, y1; /* Temporary input variables */
+ arm_status status;
+ q7_t *pOut = pDst; /* Output pointer */
+ q7_t out0, out1, out2, out3; /* Temporary variables */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* pointer to take end of scratch2 buffer */
+ pScr2 = pScratch2;
+
+ /* points to smaller length sequence */
+ px = pIn2 + srcBLen - 1;
+
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *px--;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Initialze temporary scratch pointer */
+ pScr1 = pScratch1;
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcALen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ ** a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ ** No loop unrolling is used. */
+ k = srcALen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* Initialization of pIn2 pointer */
+ pIn2 = (q7_t *) py;
+
+ pScr2 = py;
+
+ pOut = pDst + firstIndex;
+
+ pScratch1 += firstIndex;
+
+ /* Actual convolution process starts here */
+ blkCnt = (numPoints) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialize temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumulators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x2, y1, acc0);
+
+ acc2 = __SMLAD(x1, y1, acc2);
+
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pScr2);
+ acc1 += (*pScr1++ * *pScr2);
+ acc2 += (*pScr1++ * *pScr2);
+ acc3 += (*pScr1++ * *pScr2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ out0 = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ out1 = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ out2 = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ out3 = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+ write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ blkCnt = (numPoints) & 0x3;
+
+ /* Calculate convolution for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read two samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x1, y1, acc0);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 1U;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c
new file mode 100644
index 00000000..cfab5168
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c
@@ -0,0 +1,759 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_q15.c
+ * Description: Partial convolution of Q15 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function.
+ @remark
+ Refer to \ref arm_conv_partial_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+
+arm_status arm_conv_partial_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q63_t sum, acc0, acc1, acc2, acc3; /* Accumulator */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables to hold state and coefficient values */
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt, check;
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t)numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations less than 4 */
+ /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ while ((count < 4U) && (blockSize1 > 0))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Loop over number of MAC operations between
+ * inputA samples and inputB samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* The second part of the stage starts here */
+ /* The internal loop, over count, is unrolled by 4 */
+ /* To, read the last two inputB samples using SIMD:
+ * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+ py = py - 1;
+
+ while (blockSize1 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2 - 1U;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ py = py - 1U;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the last two inputB samples using SIMD:
+ * y[srcBLen - 1] and y[srcBLen - 2] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLALDX(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLALDX(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLALDX(x3, c0, acc3);
+
+ /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLALDX(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLALDX(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLALDX(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ * So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[srcBLen - 5] */
+ c0 = *(py+1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD (x0, c0, acc0);
+ acc1 = __SMLALD (x1, c0, acc1);
+ acc2 = __SMLALDX(x1, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+
+ c0 = *(py-1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALDX(x1, c0, acc0);
+ acc1 = __SMLALD (x2, c0, acc1);
+ acc2 = __SMLALDX(x2, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ No loop unrolling is used. */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ if (firstIndex > srcALen)
+ {
+ pSrc1 = (pIn1 + firstIndex) - (srcBLen - 1U);
+ }
+ else
+ {
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ pIn2 = pSrc2 - 1U;
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations greater than 4 */
+ /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ j = count >> 2U;
+
+ while ((j > 0U) && (blockSize3 > 0))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+ * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+ * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+
+ j--;
+ }
+
+ /* The second part of the stage starts here */
+ /* SIMD is not used for the next MAC operations,
+ * so pointer py is updated to read only one sample at a time */
+ py = py + 1U;
+
+ while (blockSize3 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ const q15_t *pIn1 = pSrcA; /* InputA pointer */
+ const q15_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q31_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U);
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c
new file mode 100644
index 00000000..bcd52983
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c
@@ -0,0 +1,640 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_q31.c
+ * Description: Partial convolution of Q31 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q31 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+arm_status arm_conv_partial_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+
+#if defined(ARM_MATH_DSP)
+
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q63_t sum; /* Accumulator */
+ uint32_t j, k, count, blkCnt, check;
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2; /* Accumulator */
+ q31_t x0, x1, x2, c0; /* Temporary variables */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t)numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[1] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[2] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[3] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unroll over blkCnt */
+ blkCnt = blockSize2 / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Apply loop unrolling and compute 3 MACs simultaneously. */
+ k = srcBLen / 3;
+
+ /* First part of the processing with loop unrolling. Compute 3 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *(py);
+
+ /* Read x[2] sample */
+ x2 = *(px);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 += (q63_t) x0 * c0;
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 += (q63_t) x1 * c0;
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 += (q63_t) x2 * c0;
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *(py - 1U);
+
+ /* Read x[3] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 += (q63_t) x1 * c0;
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 += (q63_t) x2 * c0;
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 += (q63_t) x0 * c0;
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *(py - 2U);
+
+ /* Read x[4] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 += (q63_t) x2 * c0;
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 += (q63_t) x0 * c0;
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 += (q63_t) x1 * c0;
+
+
+ px += 3U;
+
+ py -= 3U;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen - (3 * (srcBLen / 3));
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += (q63_t) x0 * c0;
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += (q63_t) x1 * c0;
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += (q63_t) x2 * c0;
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (acc0 >> 31);
+ *pOut++ = (q31_t) (acc1 >> 31);
+ *pOut++ = (q31_t) (acc2 >> 31);
+
+ /* Increment the pointer pIn1 index, count by 3 */
+ count += 3U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *px++ * (*py--);
+ sum += (q63_t) *px++ * (*py--);
+ sum += (q63_t) *px++ * (*py--);
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ if (firstIndex > srcALen)
+ {
+ pSrc1 = (pIn1 + firstIndex) - (srcBLen - 1U);
+ }
+ else
+ {
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q31_t *pIn1 = pSrcA; /* InputA pointer */
+ const q31_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q63_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q31_t) (sum >> 31U);
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c
new file mode 100644
index 00000000..0532c51e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c
@@ -0,0 +1,759 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_q7.c
+ * Description: Partial convolution of Q7 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup PartialConv
+ @{
+ */
+
+/**
+ @brief Partial convolution of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written
+ @param[in] firstIndex is the first output sample to start with
+ @param[in] numPoints is the number of output points to be computed
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+ @remark
+ Refer to \ref arm_conv_partial_opt_q7() for a faster implementation of this function.
+ */
+
+arm_status arm_conv_partial_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+
+#if defined(ARM_MATH_DSP)
+
+ const q7_t *pIn1; /* InputA pointer */
+ const q7_t *pIn2; /* InputB pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ const q7_t *px; /* Intermediate inputA pointer */
+ const q7_t *py; /* Intermediate inputB pointer */
+ const q7_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t sum; /* Accumulator */
+ uint32_t j, k, count, blkCnt, check; /* Loop counters */
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulator */
+ q31_t input1, input2; /* Temporary input variables */
+ q15_t in1, in2; /* Temporary input variables */
+ q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* Conditions to check which loopCounter holds
+ * the first and last indices of the output samples to be calculated. */
+ check = firstIndex + numPoints;
+ blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+ blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t)numPoints) : 0;
+ blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+ blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* Set the output pointer to point to the firstIndex
+ * of the output sample to be calculated. */
+ pOut = pDst + firstIndex;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed.
+ Since the partial convolution starts from firstIndex
+ Number of Macs to be performed is firstIndex + 1 */
+ count = 1U + firstIndex;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + firstIndex;
+ py = pSrc2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] , x[1] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 1] , y[srcBLen - 2] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[0] * y[srcBLen - 1] */
+ /* x[1] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[2] , x[3] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 3] , y[srcBLen - 4] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[2] * y[srcBLen - 3] */
+ /* x[3] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = ++pSrc2;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 2] sample */
+ c1 = *py--;
+
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* x[0] and x[1] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 1] and y[srcBLen - 2] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[1] and x[2] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 4] sample */
+ c1 = *py--;
+
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[4] and x[5] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* x[5] and x[6] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += ((q31_t) x0 * c0);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += ((q31_t) x1 * c0);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += ((q31_t) x2 * c0);
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 += ((q31_t) x3 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8));
+ *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8));
+ *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8));
+ *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8));
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = (uint32_t) blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ if (firstIndex > srcALen)
+ {
+ pSrc1 = (pIn1 + firstIndex) - (srcBLen - 1U);
+ }
+ else
+ {
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ }
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += ((q31_t) * px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q7_t *pIn1 = pSrcA; /* InputA pointer */
+ const q7_t *pIn2 = pSrcB; /* InputB pointer */
+ q31_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+ /* Check for range of output samples to be calculated */
+ if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+ {
+ /* Set status as ARM_MATH_ARGUMENT_ERROR */
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Loop to calculate convolution for output length number of values */
+ for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q15_t) pIn1[j] * (pIn2[i - j]));
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U);
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of PartialConv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c
new file mode 100644
index 00000000..0a28b959
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c
@@ -0,0 +1,858 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_q15.c
+ * Description: Convolution of Q15 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Conv
+ @{
+ */
+
+/**
+ @brief Convolution of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+ @remark
+ Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function.
+ @remark
+ Refer to \ref arm_conv_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+void arm_conv_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+ const q15_t *pIn1 = pSrcA; /* inputA pointer */
+ const q15_t *pIn2 = pSrcB; /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q15_t *pX;
+ const q15_t *pY;
+ const q15_t *pA;
+ const q15_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t block1, block2, block3;
+
+
+ uint16x8_t decrIdxVec = vddupq_u16(7, 1);
+
+
+ if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2 - 7;
+
+ for (i = 0; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+ pB += 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count);
+ *pDst++ = (q15_t) acc;
+ pB++;
+ }
+
+ for (i = 0; i <= block2 - 4; i += 4)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+ *pDst++ = (q15_t) acc2;
+ *pDst++ = (q15_t) acc3;
+
+ pA += 4;
+ }
+ for (; i <= block2 - 2; i += 2)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+
+ pA += 2;
+ }
+ if (block2 & 1)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count);
+ *pDst++ = (q15_t) acc;
+ pA++;
+ }
+
+ for (i = block3; i >= 1; i -= 2)
+ {
+ uint32_t count = i;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count);
+ *pDst++ = (q15_t) acc0;
+ *pDst++ = (q15_t) acc1;
+ pA += 2;
+ }
+ for (; i >= 1; i--)
+ {
+ uint32_t count = i;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count);
+ *pDst++ = (q15_t) acc;
+ pA++;
+ }
+}
+#else
+void arm_conv_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables to hold state and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations less than 4 */
+ /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ while ((count < 4U) && (blockSize1 > 0U))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Loop over number of MAC operations between
+ * inputA samples and inputB samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* The second part of the stage starts here */
+ /* The internal loop, over count, is unrolled by 4 */
+ /* To, read the last two inputB samples using SIMD:
+ * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+ py = py - 1;
+
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + (count - 1U);
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ py = py - 1U;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the last two inputB samples using SIMD:
+ * y[srcBLen - 1] and y[srcBLen - 2] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLALDX(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLALDX(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLALDX(x3, c0, acc3);
+
+ /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+ c0 = read_q15x2_da ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLALDX(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLALDX(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+
+ px += 4U;
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLALDX(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ * So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[srcBLen - 5] */
+ c0 = *(py + 1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+ acc2 = __SMLALDX(x1, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[srcBLen - 5], y[srcBLen - 6] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALDX(x0, c0, acc0);
+ acc1 = __SMLALDX(x1, c0, acc1);
+ acc2 = __SMLALDX(x3, c0, acc2);
+ acc3 = __SMLALDX(x2, c0, acc3);
+
+ c0 = *(py-1);
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALDX(x1, c0, acc0);
+ acc1 = __SMLALD(x2, c0, acc1);
+ acc2 = __SMLALDX(x2, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) ((q31_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+ blockSize3 = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ pIn2 = pSrc2 - 1U;
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ /* For loop unrolling by 4, this stage is divided into two. */
+ /* First part of this stage computes the MAC operations greater than 4 */
+ /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+ /* The first part of the stage starts here */
+ j = blockSize3 >> 2U;
+
+ while ((j > 0U) && (blockSize3 > 0U))
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = blockSize3 >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+ * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+ /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+ * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+ sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* For the next MAC operations, the pointer py is used without SIMD
+ * So, py is incremented by 1 */
+ py = py + 1U;
+
+ /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = blockSize3 % 0x4U;
+
+ while (k > 0U)
+ {
+ /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+
+ j--;
+ }
+
+ /* The second part of the stage starts here */
+ /* SIMD is not used for the next MAC operations,
+ * so pointer py is updated to read only one sample at a time */
+ py = py + 1U;
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = blockSize3;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum = __SMLALD(*px++, *py--, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ const q15_t *pIn1 = pSrcA; /* InputA pointer */
+ const q15_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+
+ /* Loop to calculate convolution for output length number of values */
+ for (i = 0; i < (srcALen + srcBLen - 1); i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q31_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U);
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Conv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c
new file mode 100644
index 00000000..ee37824f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c
@@ -0,0 +1,745 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_q31.c
+ * Description: Convolution of Q31 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Conv
+ @{
+ */
+
+/**
+ @brief Convolution of Q31 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,
+ as maximum of min(srcALen, srcBLen) number of additions are carried internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_conv_fast_q31() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+void arm_conv_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+ const q31_t *pIn1 = pSrcA; /* inputA pointer */
+ const q31_t *pIn2 = pSrcB; /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q31_t *pX;
+ const q31_t *pY;
+ const q31_t *pA;
+ const q31_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t block1, block2, block3;
+ uint32_t vddupStartIdx = 3;
+ uint32x4_t decrIdxVec = vddupq_u32(vddupStartIdx, 1);
+
+ if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2 - 3;
+
+ for (i = 0; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ pB += 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count);
+
+ *pDst++ = (q31_t) acc;
+ pB++;
+ }
+
+ for (i = 0; i <= block2 - 4; i += 4)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count);
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ *pDst++ = (q31_t) acc2;
+ *pDst++ = (q31_t) acc3;
+
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count);
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+
+ pA += 2;
+ }
+ if (block2 & 1)
+ {
+ uint32_t count = srcBLen;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count);
+ *pDst++ = (q31_t) acc;
+ pA++;
+ }
+
+ for (i = block3; i >= 2; i -= 2)
+ {
+ uint32_t count = i;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count);
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ pA += 2;
+ }
+
+ for (; i >= 1; i--)
+ {
+ uint32_t count = i;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count);
+ *pDst++ = (q31_t) acc;
+ pA++;
+ }
+
+}
+
+#else
+void arm_conv_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q63_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[1] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[2] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* x[3] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * (*py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unroll by 3 */
+ blkCnt = blockSize2 / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Apply loop unrolling and compute 3 MACs simultaneously. */
+ k = srcBLen / 3;
+
+ /* First part of the processing with loop unrolling. Compute 3 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *(py);
+ /* Read x[3] sample */
+ x2 = *(px);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[srcBLen - 1] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[1] * y[srcBLen - 1] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[2] * y[srcBLen - 1] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Read y[srcBLen - 2] sample */
+ c0 = *(py - 1U);
+ /* Read x[4] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[srcBLen - 2] */
+ acc0 += ((q63_t) x1 * c0);
+ /* acc1 += x[2] * y[srcBLen - 2] */
+ acc1 += ((q63_t) x2 * c0);
+ /* acc2 += x[3] * y[srcBLen - 2] */
+ acc2 += ((q63_t) x0 * c0);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *(py - 2U);
+ /* Read x[5] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[srcBLen - 3] */
+ acc0 += ((q63_t) x2 * c0);
+ /* acc1 += x[3] * y[srcBLen - 2] */
+ acc1 += ((q63_t) x0 * c0);
+ /* acc2 += x[4] * y[srcBLen - 2] */
+ acc2 += ((q63_t) x1 * c0);
+
+ /* update scratch pointers */
+ px += 3U;
+ py -= 3U;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen - (3 * (srcBLen / 3));
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (acc0 >> 31);
+ *pOut++ = (q31_t) (acc1 >> 31);
+ *pOut++ = (q31_t) (acc2 >> 31);
+
+ /* Increment the pointer pIn1 index, count by 3 */
+ count += 3U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *px++ * *py--;
+ sum += (q63_t) *px++ * *py--;
+ sum += (q63_t) *px++ * *py--;
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = blockSize3 >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = blockSize3 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = blockSize3;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += (q63_t) *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q31_t) (sum >> 31);
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q31_t *pIn1 = pSrcA; /* InputA pointer */
+ const q31_t *pIn2 = pSrcB; /* InputB pointer */
+ q63_t sum; /* Accumulators */
+ uint32_t i, j; /* Loop counters */
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i < (srcALen + srcBLen - 1U); i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q63_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q31_t) (sum >> 31U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Conv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c
new file mode 100644
index 00000000..e29a16dd
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c
@@ -0,0 +1,860 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_q7.c
+ * Description: Convolution of Q7 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Conv
+ @{
+ */
+
+/**
+ @brief Convolution of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ @remark
+ Refer to \ref arm_conv_opt_q7() for a faster implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+
+#include "arm_vec_filtering.h"
+
+void arm_conv_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+ const q7_t *pIn1 = pSrcA; /* inputA pointer */
+ const q7_t *pIn2 = pSrcB; /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q7_t *pX;
+ const q7_t *pY;
+ const q7_t *pA;
+ const q7_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t block1, block2, block3;
+ uint8_t vddupStartIdx = 15;
+ uint8x16_t decrIdxVec = vddupq_u8(vddupStartIdx, 1);
+
+ if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2 - 15;
+
+ for (i = 0; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ pB += 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count);
+ *pDst++ = (q7_t) acc;
+ pB++;
+ }
+
+ for (i = 0; i <= block2 - 4; i += 4)
+ {
+ uint32_t count = srcBLen;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+ int32_t acc2 = 0;
+ int32_t acc3 = 0;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ *pDst++ = (q7_t) acc2;
+ *pDst++ = (q7_t) acc3;
+ pA += 4;
+ }
+ for (; i <= block2 - 2; i += 2)
+ {
+ uint32_t count = srcBLen;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ pA += 2;
+ }
+ if (block2 & 1)
+ {
+ uint32_t count = srcBLen;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count);
+ *pDst++ = (q7_t) acc;
+ pA++;
+ }
+
+ for (i = block3; i >= 1; i -= 2)
+ {
+ uint32_t count = i;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count);
+ *pDst++ = (q7_t) acc0;
+ *pDst++ = (q7_t) acc1;
+ pA += 2;
+ }
+ for (; i >= 1; i--)
+ {
+ uint32_t count = i;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+
+ MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count);
+ *pDst++ = (q7_t) acc;
+ pA++;
+ }
+}
+
+#else
+void arm_conv_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q7_t *pIn1; /* InputA pointer */
+ const q7_t *pIn2; /* InputB pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ const q7_t *px; /* Intermediate inputA pointer */
+ const q7_t *py; /* Intermediate inputB pointer */
+ const q7_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ q31_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t input1, input2; /* Temporary input variables */
+ q15_t in1, in2; /* Temporary input variables */
+ q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+ }
+
+ /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[0]
+ * sum = x[0] * y[1] + x[1] * y[0]
+ * ....
+ * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] , x[1] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 1] , y[srcBLen - 2] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* x[0] * y[srcBLen - 1] */
+ /* x[1] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[2] , x[3] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 3] , y[srcBLen - 4] */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* x[2] * y[srcBLen - 3] */
+ /* x[3] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pIn2 + count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+ * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[srcBLen - 1] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 2] sample */
+ c1 = *py--;
+
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* x[0] and x[1] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 1] and y[srcBLen - 2] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[1] and x[2] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ /* Read y[srcBLen - 3] sample */
+ c0 = *py--;
+ /* Read y[srcBLen - 4] sample */
+ c1 = *py--;
+
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[4] and x[5] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* x[5] and x[6] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *py--;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[srcBLen - 5] */
+ acc0 += ((q15_t) x0 * c0);
+ /* acc1 += x[5] * y[srcBLen - 5] */
+ acc1 += ((q15_t) x1 * c0);
+ /* acc2 += x[6] * y[srcBLen - 5] */
+ acc2 += ((q15_t) x2 * c0);
+ /* acc3 += x[7] * y[srcBLen - 5] */
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ *pOut++ = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ *pOut++ = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ *pOut++ = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+ * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+ * ....
+ * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+ * sum += x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The blockSize3 variable holds the number of MAC operations performed */
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ pSrc2 = pIn2 + (srcBLen - 1U);
+ py = pSrc2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = blockSize3 >> 2U;
+
+ while (k > 0U)
+ {
+ /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+ /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+ in1 = (q15_t) *py--;
+ in2 = (q15_t) *py--;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+ /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = blockSize3 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = blockSize3;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += ((q15_t) *px++ * *py--);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q7_t *pIn1 = pSrcA; /* InputA pointer */
+ const q7_t *pIn2 = pSrcB; /* InputB pointer */
+ q31_t sum; /* Accumulator */
+ uint32_t i, j; /* Loop counters */
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i < (srcALen + srcBLen - 1U); i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q15_t) pIn1[j] * pIn2[i - j]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Conv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f16.c
new file mode 100644
index 00000000..5924b7ac
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f16.c
@@ -0,0 +1,1159 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_f16.c
+ * Description: Correlation of floating-point sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup Corr Correlation
+
+ Correlation is a mathematical operation that is similar to convolution.
+ As with convolution, correlation uses two signals to produce a third signal.
+ The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution.
+ Correlation is commonly used to measure the similarity between two signals.
+ It has applications in pattern recognition, cryptanalysis, and searching.
+ The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types.
+ Fast versions of the Q15 and Q31 functions are also provided.
+
+ @par Algorithm
+ Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively.
+ The convolution of the two signals is denoted by
+ + c[n] = a[n] * b[n] ++ In correlation, one of the signals is flipped in time +
+ c[n] = a[n] * b[-n] ++ @par + and this is mathematically defined as + \image html CorrelateEquation.gif + @par + The
pSrcA points to the first input vector of length srcALen and pSrcB points to the second input vector of length srcBLen.
+ The result c[n] is of length 2 * max(srcALen, srcBLen) - 1 and is defined over the interval n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2).
+ The output result is written to pDst and the calling function must allocate 2 * max(srcALen, srcBLen) - 1 words for the result.
+
+ @note
+ The pDst should be initialized to all zeros before being used.
+
+ @par Fixed-Point Behavior
+ Correlation requires summing up a large number of intermediate products.
+ As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.
+ Refer to the function specific documentation below for further details of the particular algorithm used.
+
+ @par Fast Versions
+ Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires
+ the input signals should be scaled down to avoid intermediate overflows.
+
+ @par Opt Versions
+ Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation.
+ These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of correlate
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of floating-point sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F16(acc0, acc1, pX, pY, count) \
+{ \
+ float16_t const *pSrcX, *pSrcY; \
+ f16x8_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f16(0.0f); \
+ acc1Vec = vdupq_n_f16(0.0f); \
+ pSrcX = (float16_t const *) pX; \
+ pSrcY = (float16_t const *) pY; \
+ k = count >> 3; \
+ while (k > 0U) \
+ { \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vldrhq_f16(&pSrcY[-1]); \
+ acc1Vec = vfmaq_f16(acc1Vec, xVec, yVec); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ acc0Vec = vfmaq_f16(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ k = count % 0x8U; \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires 1 additional sample */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ mve_pred16_t p0 = vctp16q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ yVec = vldrhq_f16(&pSrcY[-1]); \
+ acc1Vec = vfmaq_m_f16(acc1Vec, xVec, yVec,p0); \
+ /* acc0 requires exact number of sample */ \
+ /* disable extra lanes in final MAC computation */ \
+ p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ acc0Vec = vfmaq_m_f16(acc0Vec, xVec, yVec,p0); \
+ \
+ acc0 = vecAddAcrossF16Mve(acc0Vec); \
+ acc1 = vecAddAcrossF16Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CORR_SINGLE_F16(acc, pX, pY, count) \
+{ \
+ float16_t const *pSrcX, *pSrcY; \
+ f16x8_t accVec, xVec, yVec; \
+ uint16_t k; \
+ \
+ accVec = vdupq_n_f16(0.0f); \
+ pSrcX = (float16_t const *) pX; \
+ pSrcY = (float16_t const *) pY; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ accVec = vfmaq(accVec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* Loop with tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ accVec = vfmaq_m(accVec, xVec, yVec, p0); \
+ } \
+ \
+ acc = vecAddAcrossF16Mve(accVec); \
+}
+
+#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F16(acc0, acc1, acc2, acc3, pX, pY, count) \
+{ \
+ float16_t const *pSrcX, *pSrcY; \
+ f16x8_t acc0Vec, acc1Vec, acc2Vec, acc3Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f16(0.0f); \
+ acc1Vec = vdupq_n_f16(0.0f); \
+ acc2Vec = vdupq_n_f16(0.0f); \
+ acc3Vec = vdupq_n_f16(0.0f); \
+ pSrcX = (float16_t const *) pX; \
+ pSrcY = (float16_t const *) pY; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_f16(&pSrcX[1]); \
+ acc1Vec = vfmaq_f16(acc1Vec, xVec, yVec); \
+ xVec = vldrhq_f16(&pSrcX[2]); \
+ acc2Vec = vfmaq_f16(acc2Vec, xVec, yVec); \
+ xVec = vldrhq_f16(&pSrcX[3]); \
+ acc3Vec = vfmaq_f16(acc3Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0Vec = vfmaq_f16(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_f16(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f16(acc1Vec, xVec, yVec, p0); \
+ xVec = vldrhq_f16(&pSrcX[2]); \
+ acc2Vec = vfmaq_m_f16(acc2Vec, xVec, yVec, p0); \
+ xVec = vldrhq_f16(&pSrcX[3]); \
+ acc3Vec = vfmaq_m_f16(acc3Vec, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0Vec = vfmaq_m_f16(acc0Vec, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = vecAddAcrossF16Mve(acc0Vec); \
+ acc1 = vecAddAcrossF16Mve(acc1Vec); \
+ acc2 = vecAddAcrossF16Mve(acc2Vec); \
+ acc3 = vecAddAcrossF16Mve(acc3Vec); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F16(acc0, acc1, pX, pY, count) \
+{ \
+ float16_t const *pSrcX, *pSrcY; \
+ f16x8_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f16(0.0f); \
+ acc1Vec = vdupq_n_f16(0.0f); \
+ pSrcX = (float16_t const *) pX; \
+ pSrcY = (float16_t const *) pY; \
+ k = count >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_f16(&pSrcX[1]); \
+ acc1Vec = vfmaq_f16(acc1Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0Vec = vfmaq_f16(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* loop + tail predication expected here */ \
+ k = count % 0x8U; \
+ if (k > 0U) \
+ { \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8;; \
+ xVec = vldrhq_f16(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f16(acc1Vec, xVec, yVec, p0); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0Vec = vfmaq_m_f16(acc0Vec, xVec, yVec, p0); \
+ } \
+ \
+ acc0 = vecAddAcrossF16Mve(acc0Vec); \
+ acc1 = vecAddAcrossF16Mve(acc1Vec); \
+}
+
+#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F16(acc0, acc1, pX, pY, count) \
+{ \
+ float16_t const *pSrcX, *pSrcY; \
+ f16x8_t acc0Vec, acc1Vec, xVec, yVec; \
+ uint32_t k; \
+ \
+ acc0Vec = vdupq_n_f16(0.0f); \
+ acc1Vec = vdupq_n_f16(0.0f); \
+ pSrcX = (float16_t const *) pX; \
+ pSrcY = (float16_t const *) pY; \
+ k = (count-1) >> 3; \
+ \
+ while (k > 0U) \
+ { \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_f16(&pSrcX[1]); \
+ acc1Vec = vfmaq_f16(acc1Vec, xVec, yVec); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0Vec = vfmaq_f16(acc0Vec, xVec, yVec); \
+ /* Decrement the loop counter */ \
+ k--; \
+ } \
+ /* use predication to finalize MAC sum */ \
+ /* acc1 requires exact number of sample (count-1) */ \
+ /* disable extra lanes in final MAC computation */ \
+ k = (count-1) % 0x8U; \
+ mve_pred16_t p0 = vctp16q(k); \
+ yVec = vld1q(pSrcY); pSrcY += 8; \
+ xVec = vldrhq_f16(&pSrcX[1]); \
+ acc1Vec = vfmaq_m_f16(acc1Vec, xVec, yVec, p0); \
+ /* acc0 requires 1 additional sample (count) */ \
+ /* so add 1 to unmask an extra lane in final MAC computation */ \
+ p0 = vctp16q(k+1); \
+ xVec = vld1q(pSrcX); pSrcX += 8; \
+ acc0Vec = vfmaq_m_f16(acc0Vec, xVec, yVec, p0); \
+ \
+ acc0 = vecAddAcrossF16Mve(acc0Vec); \
+ acc1 = vecAddAcrossF16Mve(acc1Vec); \
+}
+
+
+
+void arm_correlate_f16(
+ const float16_t * pSrcA,
+ uint32_t srcALen,
+ const float16_t * pSrcB,
+ uint32_t srcBLen,
+ float16_t * pDst)
+{
+ float16_t *pIn1 = (float16_t *)pSrcA; /* inputA pointer */
+ float16_t *pIn2 = (float16_t *)pSrcB + (srcBLen - 1U); /* inputB pointer */
+ float16_t *pX;
+ float16_t *pY;
+ float16_t *pA;
+ float16_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 2U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = (float16_t *)pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = (float16_t *)pSrcA + (srcALen - 1U);
+ /*
+ * Initialisation of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -2;
+
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv / 2;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ _Float16 acc0;
+ _Float16 acc1;
+ /*
+ * compute 2 accumulators per loop
+ * size is incrementing for second accumulator
+ * Y pointer is decrementing for second accumulator
+ */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F16(acc0, acc1, pX, pY, count);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ _Float16 acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F16(acc, pX, pY, count);
+
+ *pDst = acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ _Float16 acc0;
+ _Float16 acc1;
+ _Float16 acc2;
+ _Float16 acc3;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F16(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ *pDst = acc2;
+ pDst += incr;
+ *pDst = acc3;
+ pDst += incr;
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ _Float16 acc0;
+ _Float16 acc1;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F16(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ _Float16 acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F16(acc, pX, pY, srcBLen);
+
+ *pDst = acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+
+ uint32_t count = (i + 1);
+ _Float16 acc0;
+ _Float16 acc1;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is decrementing for second accumulator
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F16(acc0, acc1, pX, pY, count);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ _Float16 acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F16(acc, pX, pY, count);
+
+ *pDst = acc;
+ pDst += incr;
+ pA++;
+ }
+}
+
+#else
+void arm_correlate_f16(
+ const float16_t * pSrcA,
+ uint32_t srcALen,
+ const float16_t * pSrcB,
+ uint32_t srcBLen,
+ float16_t * pDst)
+{
+
+#if defined(ARM_MATH_DSP) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ const float16_t *pIn1; /* InputA pointer */
+ const float16_t *pIn2; /* InputB pointer */
+ float16_t *pOut = pDst; /* Output pointer */
+ const float16_t *px; /* Intermediate inputA pointer */
+ const float16_t *py; /* Intermediate inputB pointer */
+ const float16_t *pSrc1;
+ _Float16 sum;
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Destination address modifier */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ _Float16 acc0, acc1, acc2, acc3,c0; /* Accumulators */
+ _Float16 x0, x1, x2, x3; /* temporary variables for holding input and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we assume zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding has to be done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f16;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* x[1] * y[srcBLen - 3] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* x[2] * y[srcBLen - 2] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* x[3] * y[srcBLen - 1] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0.0f16;
+ acc1 = 0.0f16;
+ acc2 = 0.0f16;
+ acc3 = 0.0f16;
+
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *(py++);
+ /* Read x[3] sample */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[0] */
+ acc0 += (_Float16)x0 * (_Float16)c0;
+ /* acc1 += x[1] * y[0] */
+ acc1 += (_Float16)x1 * (_Float16)c0;
+ /* acc2 += x[2] * y[0] */
+ acc2 += (_Float16)x2 * (_Float16)c0;
+ /* acc3 += x[3] * y[0] */
+ acc3 += (_Float16)x3 * (_Float16)c0;
+
+ /* Read y[1] sample */
+ c0 = *(py++);
+ /* Read x[4] sample */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[1] */
+ acc0 += (_Float16)x1 * (_Float16)c0;
+ /* acc1 += x[2] * y[1] */
+ acc1 += (_Float16)x2 * (_Float16)c0;
+ /* acc2 += x[3] * y[1] */
+ acc2 += (_Float16)x3 * (_Float16)c0;
+ /* acc3 += x[4] * y[1] */
+ acc3 += (_Float16)x0 * (_Float16)c0;
+
+ /* Read y[2] sample */
+ c0 = *(py++);
+ /* Read x[5] sample */
+ x1 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[2] */
+ acc0 += (_Float16)x2 * (_Float16)c0;
+ /* acc1 += x[3] * y[2] */
+ acc1 += (_Float16)x3 * (_Float16)c0;
+ /* acc2 += x[4] * y[2] */
+ acc2 += (_Float16)x0 * (_Float16)c0;
+ /* acc3 += x[5] * y[2] */
+ acc3 += (_Float16)x1 * (_Float16)c0;
+
+ /* Read y[3] sample */
+ c0 = *(py++);
+ /* Read x[6] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[3] * y[3] */
+ acc0 += (_Float16)x3 * (_Float16)c0;
+ /* acc1 += x[4] * y[3] */
+ acc1 += (_Float16)x0 * (_Float16)c0;
+ /* acc2 += x[5] * y[3] */
+ acc2 += (_Float16)x1 * (_Float16)c0;
+ /* acc3 += x[6] * y[3] */
+ acc3 += (_Float16)x2 * (_Float16)c0;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *(py++);
+ /* Read x[7] sample */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[4] * y[4] */
+ acc0 += (_Float16)x0 * (_Float16)c0;
+ /* acc1 += x[5] * y[4] */
+ acc1 += (_Float16)x1 * (_Float16)c0;
+ /* acc2 += x[6] * y[4] */
+ acc2 += (_Float16)x2 * (_Float16)c0;
+ /* acc3 += x[7] * y[4] */
+ acc3 += (_Float16)x3 * (_Float16)c0;
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = acc0;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = acc1;
+ pOut += inc;
+
+ *pOut = acc2;
+ pOut += inc;
+
+ *pOut = acc3;
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f16;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+ sum += (_Float16)*px++ * (_Float16)*py++;
+ sum += (_Float16)*px++ * (_Float16)*py++;
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f16;
+
+ /* Loop over srcBLen */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f16;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (_Float16)*px++ * (_Float16)*py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const float16_t *pIn1 = pSrcA; /* inputA pointer */
+ const float16_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ _Float16 sum; /* Accumulator */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we assume zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using convolution but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+
+ }
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0.0f16;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if ((((i - j) < srcBLen) && (j < srcALen)))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += (_Float16)pIn1[j] * (_Float16)pIn2[-((int32_t) i - (int32_t) j)];
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = sum;
+ else
+ *pDst++ = sum;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of Corr group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c
new file mode 100644
index 00000000..41a69a67
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c
@@ -0,0 +1,1095 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_f32.c
+ * Description: Correlation of floating-point sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup Corr Correlation
+
+ Correlation is a mathematical operation that is similar to convolution.
+ As with convolution, correlation uses two signals to produce a third signal.
+ The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution.
+ Correlation is commonly used to measure the similarity between two signals.
+ It has applications in pattern recognition, cryptanalysis, and searching.
+ The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types.
+ Fast versions of the Q15 and Q31 functions are also provided.
+
+ @par Algorithm
+ Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively.
+ The convolution of the two signals is denoted by
+ + c[n] = a[n] * b[n] ++ In correlation, one of the signals is flipped in time +
+ c[n] = a[n] * b[-n] ++ @par + and this is mathematically defined as + \image html CorrelateEquation.gif + @par + The
pSrcA points to the first input vector of length srcALen and pSrcB points to the second input vector of length srcBLen.
+ The result c[n] is of length 2 * max(srcALen, srcBLen) - 1 and is defined over the interval n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2).
+ The output result is written to pDst and the calling function must allocate 2 * max(srcALen, srcBLen) - 1 words for the result.
+
+ @note
+ The pDst should be initialized to all zeros before being used.
+
+ @par Fixed-Point Behavior
+ Correlation requires summing up a large number of intermediate products.
+ As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.
+ Refer to the function specific documentation below for further details of the particular algorithm used.
+
+ @par Fast Versions
+ Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires
+ the input signals should be scaled down to avoid intermediate overflows.
+
+ @par Opt Versions
+ Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation.
+ These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of correlate
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of floating-point sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+
+void arm_correlate_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst)
+{
+ const float32_t *pIn1 = pSrcA; /* inputA pointer */
+ const float32_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ const float32_t *pX, *pY;
+ const float32_t *pA, *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 4U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialisation of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -4;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv / 4;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ float32_t acc0;
+ float32_t acc1;
+
+ /*
+ * compute 2 accumulators per loop
+ * size is incrementing for second accumulator
+ * Y pointer is decrementing for second accumulator
+ */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ float32_t acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count);
+
+ *pDst = acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ float32_t acc0;
+ float32_t acc1;
+ float32_t acc2;
+ float32_t acc3;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F32(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ *pDst = acc2;
+ pDst += incr;
+ *pDst = acc3;
+ pDst += incr;
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ float32_t acc0;
+ float32_t acc1;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ float32_t acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, srcBLen);
+
+ *pDst = acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+
+ uint32_t count = (i + 1);
+ float32_t acc0;
+ float32_t acc1;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is decrementing for second accumulator
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count);
+
+ *pDst = acc0;
+ pDst += incr;
+ *pDst = acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ float32_t acc;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count);
+
+ *pDst = acc;
+ pDst += incr;
+ pA++;
+ }
+}
+
+#else
+void arm_correlate_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst)
+{
+
+#if defined(ARM_MATH_DSP) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ const float32_t *pIn1; /* InputA pointer */
+ const float32_t *pIn2; /* InputB pointer */
+ float32_t *pOut = pDst; /* Output pointer */
+ const float32_t *px; /* Intermediate inputA pointer */
+ const float32_t *py; /* Intermediate inputB pointer */
+ const float32_t *pSrc1;
+ float32_t sum;
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Destination address modifier */
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+ float32_t acc0, acc1, acc2, acc3,c0; /* Accumulators */
+#if !defined(ARM_MATH_NEON)
+ float32_t x0, x1, x2, x3; /* temporary variables for holding input and coefficient values */
+#endif
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we assume zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding has to be done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t x,y;
+ float32x4_t res = vdupq_n_f32(0) ;
+ float32x2_t accum = vdup_n_f32(0);
+
+ while (k > 0U)
+ {
+ x = vld1q_f32(px);
+ y = vld1q_f32(py);
+
+ res = vmlaq_f32(res,x, y);
+
+ px += 4;
+ py += 4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+ sum += accum[0] + accum[1];
+
+ k = count & 0x3;
+#else
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] */
+ sum += *px++ * *py++;
+
+ /* x[1] * y[srcBLen - 3] */
+ sum += *px++ * *py++;
+
+ /* x[2] * y[srcBLen - 2] */
+ sum += *px++ * *py++;
+
+ /* x[3] * y[srcBLen - 1] */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t c;
+ float32x4_t x1v;
+ float32x4_t x2v;
+ float32x4_t x;
+ float32x4_t res = vdupq_n_f32(0) ;
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+#if defined(ARM_MATH_NEON)
+ /* Compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ res = vdupq_n_f32(0) ;
+
+ x1v = vld1q_f32(px);
+ px += 4;
+ do
+ {
+ x2v = vld1q_f32(px);
+ c = vld1q_f32(py);
+
+ py += 4;
+
+ x = x1v;
+ res = vmlaq_n_f32(res,x,c[0]);
+
+ x = vextq_f32(x1v,x2v,1);
+
+ res = vmlaq_n_f32(res,x,c[1]);
+
+ x = vextq_f32(x1v,x2v,2);
+
+ res = vmlaq_n_f32(res,x,c[2]);
+
+ x = vextq_f32(x1v,x2v,3);
+
+ res = vmlaq_n_f32(res,x,c[3]);
+
+ x1v = x2v;
+ px+=4;
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen & 0x3;
+
+ while (k > 0U)
+ {
+ /* Read y[srcBLen - 5] sample */
+ c0 = *(py++);
+
+ res = vmlaq_n_f32(res,x1v,c0);
+
+ /* Reuse the present samples for the next MAC */
+ x1v[0] = x1v[1];
+ x1v[1] = x1v[2];
+ x1v[2] = x1v[3];
+
+ x1v[3] = *(px++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ px-=1;
+
+ acc0 = res[0];
+ acc1 = res[1];
+ acc2 = res[2];
+ acc3 = res[3];
+#else
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *(py++);
+ /* Read x[3] sample */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[0] */
+ acc0 += x0 * c0;
+ /* acc1 += x[1] * y[0] */
+ acc1 += x1 * c0;
+ /* acc2 += x[2] * y[0] */
+ acc2 += x2 * c0;
+ /* acc3 += x[3] * y[0] */
+ acc3 += x3 * c0;
+
+ /* Read y[1] sample */
+ c0 = *(py++);
+ /* Read x[4] sample */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[1] */
+ acc0 += x1 * c0;
+ /* acc1 += x[2] * y[1] */
+ acc1 += x2 * c0;
+ /* acc2 += x[3] * y[1] */
+ acc2 += x3 * c0;
+ /* acc3 += x[4] * y[1] */
+ acc3 += x0 * c0;
+
+ /* Read y[2] sample */
+ c0 = *(py++);
+ /* Read x[5] sample */
+ x1 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[2] */
+ acc0 += x2 * c0;
+ /* acc1 += x[3] * y[2] */
+ acc1 += x3 * c0;
+ /* acc2 += x[4] * y[2] */
+ acc2 += x0 * c0;
+ /* acc3 += x[5] * y[2] */
+ acc3 += x1 * c0;
+
+ /* Read y[3] sample */
+ c0 = *(py++);
+ /* Read x[6] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[3] * y[3] */
+ acc0 += x3 * c0;
+ /* acc1 += x[4] * y[3] */
+ acc1 += x0 * c0;
+ /* acc2 += x[5] * y[3] */
+ acc2 += x1 * c0;
+ /* acc3 += x[6] * y[3] */
+ acc3 += x2 * c0;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *(py++);
+ /* Read x[7] sample */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[4] * y[4] */
+ acc0 += x0 * c0;
+ /* acc1 += x[5] * y[4] */
+ acc1 += x1 * c0;
+ /* acc2 += x[6] * y[4] */
+ acc2 += x2 * c0;
+ /* acc3 += x[7] * y[4] */
+ acc3 += x3 * c0;
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = acc0;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = acc1;
+ pOut += inc;
+
+ *pOut = acc2;
+ pOut += inc;
+
+ *pOut = acc3;
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t x,y;
+ float32x4_t res = vdupq_n_f32(0) ;
+ float32x2_t accum = vdup_n_f32(0);
+
+ while (k > 0U)
+ {
+ x = vld1q_f32(px);
+ y = vld1q_f32(py);
+
+ res = vmlaq_f32(res,x, y);
+
+ px += 4;
+ py += 4;
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+ sum += accum[0] + accum[1];
+#else
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+ sum += *px++ * *py++;
+ sum += *px++ * *py++;
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+#endif /* #if defined(ARM_MATH_NEON) */
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+ /* Loop over srcBLen */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+#if defined(ARM_MATH_NEON)
+ float32x4_t x,y;
+ float32x4_t res = vdupq_n_f32(0) ;
+ float32x2_t accum = vdup_n_f32(0);
+
+ while (k > 0U)
+ {
+ x = vld1q_f32(px);
+ y = vld1q_f32(py);
+
+ res = vmlaq_f32(res,x, y);
+
+ px += 4;
+ py += 4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+ sum += accum[0] + accum[1];
+#else
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum += *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum += *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum += *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+#endif /* #if defined (ARM_MATH_NEON) */
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const float32_t *pIn1 = pSrcA; /* inputA pointer */
+ const float32_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ float32_t sum; /* Accumulator */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we assume zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using convolution but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+
+ }
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0.0f;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if ((((i - j) < srcBLen) && (j < srcALen)))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += pIn1[j] * pIn2[-((int32_t) i - (int32_t) j)];
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = sum;
+ else
+ *pDst++ = sum;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f64.c
new file mode 100644
index 00000000..95edd40f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f64.c
@@ -0,0 +1,365 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_f64.c
+ * Description: Correlation of floating-point sequences
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of floating-point sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+ */
+
+void arm_correlate_f64(
+ const float64_t * pSrcA,
+ uint32_t srcALen,
+ const float64_t * pSrcB,
+ uint32_t srcBLen,
+ float64_t * pDst)
+{
+ const float64_t *pIn1; /* InputA pointer */
+ const float64_t *pIn2; /* InputB pointer */
+ float64_t *pOut = pDst; /* Output pointer */
+ const float64_t *px; /* Intermediate inputA pointer */
+ const float64_t *py; /* Intermediate inputB pointer */
+ const float64_t *pSrc1;
+ float64_t sum;
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Destination address modifier */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we assume zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding has to be done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.;
+
+ /* Initialize k with number of samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.;
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.;
+
+ /* Loop over srcBLen */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.;
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
new file mode 100644
index 00000000..0b37b187
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
@@ -0,0 +1,345 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_fast_opt_q15.c
+ * Description: Fast Q15 Correlation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence.
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+ The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+void arm_correlate_fast_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch)
+{
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q31_t acc0; /* Accumulators */
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1 = pScratch; /* Temporary pointer for scratch */
+ const q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, blkCnt, outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Destination address modifier */
+ uint32_t tapCnt; /* Loop count */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x1, x2, x3; /* Temporary variables for holding input and coefficient values */
+ q31_t y1, y2; /* State variables */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ pScr1 = pScratch;
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pIn2;
+
+
+ /* Actual correlation process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x2, y2, acc0);
+ acc2 = __SMLAD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+ acc1 = __SMLADX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the results in the accumulators in the destination buffer. */
+ *pOut = (__SSAT(acc0 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc1 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc2 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc3 >> 15U, 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 4U;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate correlation for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read next two samples from scratch buffer */
+ acc0 += (*pScr1++ * *pIn2++);
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ ** Then store the output in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 1U;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c
new file mode 100644
index 00000000..7d8857ad
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c
@@ -0,0 +1,614 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_fast_q15.c
+ * Description: Fast Q15 Correlation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+ The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+void arm_correlate_fast_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary variables for holding input and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first loop starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* x[0] * y[srcBLen - 1] */
+ sum = __SMLAD(*px++, *py++, sum);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* --------------------
+ * Stage2 process
+ * -------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unroll over blockSize2, by 4 */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the first two inputB samples using SIMD:
+ * y[0] and y[1] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[0] + x[1] * y[1] */
+ acc0 = __SMLAD(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[0] + x[2] * y[1] */
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[0] + x[3] * y[1] */
+ acc2 = __SMLAD(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[0] + x[4] * y[1] */
+ acc3 = __SMLAD(x3, c0, acc3);
+
+ /* Read y[2] and y[3] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[2] + x[3] * y[3] */
+ acc0 = __SMLAD(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[2] + x[4] * y[3] */
+ acc1 = __SMLAD(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[2] + x[5] * y[3] */
+ acc2 = __SMLAD(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[2] + x[6] * y[3] */
+ acc3 = __SMLAD(x1, c0, acc3);
+
+ } while (--k);
+
+ /* For the next MAC operations, SIMD is not used
+ * So, the 16 bit pointer if inputB, py is updated */
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[4] */
+ c0 = *py;
+
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD (x0, c0, acc0);
+ acc1 = __SMLAD (x1, c0, acc1);
+ acc2 = __SMLADX(x1, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+ acc2 = __SMLAD(x3, c0, acc2);
+ acc3 = __SMLAD(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+ acc2 = __SMLAD(x3, c0, acc2);
+ acc3 = __SMLAD(x2, c0, acc3);
+
+ c0 = (*py);
+ /* Read y[6] */
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLADX(x1, c0, acc0);
+ acc1 = __SMLAD (x2, c0, acc1);
+ acc2 = __SMLADX(x2, c0, acc2);
+ acc3 = __SMLADX(x3, c0, acc3);
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (acc0 >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q15_t) (acc1 >> 15);
+ pOut += inc;
+
+ *pOut = (q15_t) (acc2 >> 15);
+ pOut += inc;
+
+ *pOut = (q15_t) (acc3 >> 15);
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) *px++ * *py++);
+ sum += ((q31_t) *px++ * *py++);
+ sum += ((q31_t) *px++ * *py++);
+ sum += ((q31_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q31_t) * px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q31_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = __SMLAD(*px++, *py++, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (sum >> 15);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement the MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c
new file mode 100644
index 00000000..e3d2bbf8
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c
@@ -0,0 +1,601 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_fast_q31.c
+ * Description: Fast Q31 Correlation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q31 sequences (fast version).
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are accumulated in a 32-bit register in 2.30 format.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ @par
+ The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signals must be scaled down.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+
+ @remark
+ Refer to \ref arm_correlate_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.
+ */
+
+void arm_correlate_fast_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1; /* Intermediate pointers */
+ q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, x3, c0; /* Temporary variables for holding input and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* x[1] * y[srcBLen - 3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* x[2] * y[srcBLen - 2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* x[3] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unroll over blockSize2, by 4 */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *py++;
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[0] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[1] * y[0] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[2] * y[0] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[3] * y[0] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+
+ /* Read y[1] sample */
+ c0 = *py++;
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[1] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc1 += x[2] * y[1] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc2 += x[3] * y[1] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc3 += x[4] * y[1] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+
+ /* Read y[2] sample */
+ c0 = *py++;
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[2] * y[2] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc1 += x[3] * y[2] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc2 += x[4] * y[2] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc3 += x[5] * y[2] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+
+ /* Read y[3] sample */
+ c0 = *py++;
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[3] * y[3] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+ /* acc1 += x[4] * y[3] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc2 += x[5] * y[3] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc3 += x[6] * y[3] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *py++;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[4] */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ /* acc1 += x[5] * y[4] */
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ /* acc2 += x[6] * y[4] */
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ /* acc3 += x[7] * y[4] */
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (acc0 << 1);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q31_t) (acc1 << 1);
+ pOut += inc;
+
+ *pOut = (q31_t) (acc2 << 1);
+ pOut += inc;
+
+ *pOut = (q31_t) (acc3 << 1);
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 4 */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1U;
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = (q31_t) ((((q63_t) sum << 32) +
+ ((q63_t) *px++ * (*py++))) >> 32);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = sum << 1;
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c
new file mode 100644
index 00000000..00bb0889
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_opt_q15.c
+ * Description: Correlation of Q15 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+ @remark
+ Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function.
+ */
+
+void arm_correlate_opt_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch)
+{
+ q63_t acc0; /* Accumulators */
+ q15_t *pOut = pDst; /* Output pointer */
+ q15_t *pScr1; /* Temporary pointer for scratch1 */
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ uint32_t j, blkCnt, outBlockSize; /* Loop counter */
+ int32_t inc = 1; /* Output pointer increment */
+ uint32_t tapCnt;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x1, x2, x3; /* Temporary variables for holding input1 and input2 values */
+ q31_t y1, y2; /* State variables */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (srcALen * 2U) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ pScr1 = pScratch;
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ arm_copy_q15(pIn1, pScr1, srcALen);
+
+ /* Update pointers */
+ pScr1 += srcALen;
+
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pIn2;
+
+
+ /* Actual correlation process starts here */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia ((q15_t **) &pIn2);
+ y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLALD(x1, y1, acc0);
+ acc2 = __SMLALD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc1 = __SMLALDX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* multiply and accumulate */
+ acc0 = __SMLALD(x2, y2, acc0);
+ acc2 = __SMLALD(x1, y2, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y1, acc3);
+ acc1 = __SMLALDX(x3, y2, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLALDX(x3, y2, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2);
+ acc1 += (*pScr1++ * *pIn2);
+ acc2 += (*pScr1++ * *pIn2);
+ acc3 += (*pScr1++ * *pIn2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+
+ /* Store the results in the accumulators in the destination buffer. */
+ *pOut = (__SSAT(acc0 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc1 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc2 >> 15U, 16));
+ pOut += inc;
+ *pOut = (__SSAT(acc3 >> 15U, 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 4U;
+ }
+
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Calculate correlation for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+
+ /* Read next two samples from scratch1 buffer */
+ acc0 += (*pScr1++ * *pIn2++);
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pIn2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ Then store the output in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pIn2 = py;
+
+ pScratch += 1U;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c
new file mode 100644
index 00000000..145ba2ae
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c
@@ -0,0 +1,388 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_opt_q7.c
+ * Description: Correlation of Q7 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ */
+
+void arm_correlate_opt_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2)
+{
+ q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */
+ q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */
+ q15_t x4; /* Temporary input variable */
+ q15_t *py; /* Temporary input2 pointer */
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */
+ uint32_t j, k, blkCnt, tapCnt; /* Loop counter */
+ int32_t inc = 1; /* Output pointer increment */
+ uint32_t outBlockSize; /* Loop counter */
+ q31_t x1, x2, x3, y1; /* Temporary input variables */
+ q7_t *pOut = pDst; /* Output pointer */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (srcALen * 2U) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+
+ /* Copy (srcBLen) samples in scratch buffer */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) *pIn2++;
+ *pScr2++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros in scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update temporary scratch pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Copy (srcALen) samples in scratch buffer */
+ /* Apply loop unrolling and do 4 Copies simultaneously. */
+ k = srcALen >> 2U;
+
+ /* First part of the processing with loop unrolling copies 4 data points at a time.
+ a second loop below copies for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner */
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+ x4 = (q15_t) *pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, copy remaining samples here.
+ No loop unrolling is used. */
+ k = srcALen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* copy second buffer in reversal manner for remaining samples */
+ x4 = (q15_t) * pIn1++;
+ *pScr1++ = x4;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+ arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+ /* Update pointer */
+ pScr1 += (srcBLen - 1U);
+
+ /* Temporary pointer for scratch2 */
+ py = pScratch2;
+
+ /* Initialization of pScr2 pointer */
+ pScr2 = pScratch2;
+
+ /* Actual correlation process starts here */
+ blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Read two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* Read next two samples from scratch1 buffer */
+ x2 = read_q15x2_ia (&pScr1);
+
+ tapCnt = (srcBLen) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ /* multiply and accumulate */
+ acc0 = __SMLAD(x1, y1, acc0);
+ acc2 = __SMLAD(x2, y1, acc2);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ /* multiply and accumulate */
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ /* Read next two samples from scratch1 buffer */
+ x1 = read_q15x2_ia (&pScr1);
+
+ /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x1, x2, 0);
+#else
+ x3 = __PKHBT(x2, x1, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Read four samples from smaller buffer */
+ y1 = read_q15x2_ia (&pScr2);
+
+ acc0 = __SMLAD(x2, y1, acc0);
+
+ acc2 = __SMLAD(x1, y1, acc2);
+
+ acc1 = __SMLADX(x3, y1, acc1);
+
+ x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ x3 = __PKHBT(x2, x1, 0);
+#else
+ x3 = __PKHBT(x1, x2, 0);
+#endif
+
+ acc3 = __SMLADX(x3, y1, acc3);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Update scratch pointer for remaining samples of smaller length sequence */
+ pScr1 -= 4U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ tapCnt = (srcBLen) & 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pScr2);
+ acc1 += (*pScr1++ * *pScr2);
+ acc2 += (*pScr1++ * *pScr2);
+ acc3 += (*pScr1++ * *pScr2++);
+
+ pScr1 -= 3U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ pOut += inc;
+ *pOut = (q7_t) (__SSAT(acc1 >> 7U, 8));
+ pOut += inc;
+ *pOut = (q7_t) (__SSAT(acc2 >> 7U, 8));
+ pOut += inc;
+ *pOut = (q7_t) (__SSAT(acc3 >> 7U, 8));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 4U;
+ }
+
+ blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+ /* Calculate correlation for remaining samples of Bigger length sequence */
+ while (blkCnt > 0)
+ {
+ /* Initialze temporary scratch pointer as scratch1 */
+ pScr1 = pScratch1;
+
+ /* Clear Accumlators */
+ acc0 = 0;
+
+ tapCnt = (srcBLen) >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ acc0 += (*pScr1++ * *pScr2++);
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (srcBLen) & 1U;
+
+ /* apply same above for remaining samples of smaller length sequence */
+ while (tapCnt > 0U)
+ {
+ /* accumulate the results */
+ acc0 += (*pScr1++ * *pScr2++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ blkCnt--;
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8));
+ pOut += inc;
+
+ /* Initialization of inputB pointer */
+ pScr2 = py;
+
+ pScratch1 += 1U;
+ }
+
+}
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c
new file mode 100644
index 00000000..2dd16d72
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c
@@ -0,0 +1,903 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_q15.c
+ * Description: Correlation of Q15 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q15 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+ @remark
+ Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function.
+ @remark
+ Refer to \ref arm_correlate_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+
+void arm_correlate_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+ const q15_t *pIn1 = pSrcA; /* inputA pointer */
+ const q15_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q15_t *pX;
+ const q15_t *pY;
+ const q15_t *pA;
+ const q15_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 2U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialisation of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -2;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv / 2;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ /*
+ * compute 2 accumulators per loop
+ * size is incrementing for second accumulator
+ * Y pointer is decrementing for second accumulator
+ */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count);
+
+ *pDst = (q15_t) acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ *pDst = (q15_t) acc2;
+ pDst += incr;
+ *pDst = (q15_t) acc3;
+ pDst += incr;
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, srcBLen);
+
+ *pDst = (q15_t) acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+
+ uint32_t count = (i + 1);
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is decrementing for second accumulator
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count);
+
+ *pDst = (q15_t) acc0;
+ pDst += incr;
+ *pDst = (q15_t) acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count);
+
+ *pDst = (q15_t) acc;
+ pDst += incr;
+ pA++;
+ }
+}
+
+#else
+void arm_correlate_q15(
+ const q15_t * pSrcA,
+ uint32_t srcALen,
+ const q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst)
+{
+
+#if defined (ARM_MATH_DSP)
+
+ const q15_t *pIn1; /* InputA pointer */
+ const q15_t *pIn2; /* InputB pointer */
+ q15_t *pOut = pDst; /* Output pointer */
+ q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */
+ const q15_t *px; /* Intermediate inputA pointer */
+ const q15_t *py; /* Intermediate inputB pointer */
+ const q15_t *pSrc1; /* Intermediate pointers */
+ q31_t x0, x1, x2, x3, c0; /* Temporary input variables for holding input and coefficient values */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (srcALen * 2U) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first loop starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum = __SMLALD(*px++, *py++, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is the index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = read_q15x2 ((q15_t *) px);
+
+ /* read x[1], x[2] samples */
+ x1 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read the first two inputB samples using SIMD:
+ * y[0] and y[1] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[0] * y[0] + x[1] * y[1] */
+ acc0 = __SMLALD(x0, c0, acc0);
+
+ /* acc1 += x[1] * y[0] + x[2] * y[1] */
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Read x[2], x[3] */
+ x2 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[3], x[4] */
+ x3 = read_q15x2 ((q15_t *) px + 1);
+
+ /* acc2 += x[2] * y[0] + x[3] * y[1] */
+ acc2 = __SMLALD(x2, c0, acc2);
+
+ /* acc3 += x[3] * y[0] + x[4] * y[1] */
+ acc3 = __SMLALD(x3, c0, acc3);
+
+ /* Read y[2] and y[3] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* acc0 += x[2] * y[2] + x[3] * y[3] */
+ acc0 = __SMLALD(x2, c0, acc0);
+
+ /* acc1 += x[3] * y[2] + x[4] * y[3] */
+ acc1 = __SMLALD(x3, c0, acc1);
+
+ /* Read x[4], x[5] */
+ x0 = read_q15x2 ((q15_t *) px + 2);
+
+ /* Read x[5], x[6] */
+ x1 = read_q15x2 ((q15_t *) px + 3);
+ px += 4U;
+
+ /* acc2 += x[4] * y[2] + x[5] * y[3] */
+ acc2 = __SMLALD(x0, c0, acc2);
+
+ /* acc3 += x[5] * y[2] + x[6] * y[3] */
+ acc3 = __SMLALD(x1, c0, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ if (k == 1U)
+ {
+ /* Read y[4] */
+ c0 = *py;
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[7] */
+ x3 = read_q15x2 ((q15_t *) px);
+ px++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD (x0, c0, acc0);
+ acc1 = __SMLALD (x1, c0, acc1);
+ acc2 = __SMLALDX(x1, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ if (k == 2U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2 ((q15_t *) py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+ px += 2U;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+ acc2 = __SMLALD(x3, c0, acc2);
+ acc3 = __SMLALD(x2, c0, acc3);
+ }
+
+ if (k == 3U)
+ {
+ /* Read y[4], y[5] */
+ c0 = read_q15x2_ia ((q15_t **) &py);
+
+ /* Read x[7], x[8] */
+ x3 = read_q15x2 ((q15_t *) px);
+
+ /* Read x[9] */
+ x2 = read_q15x2 ((q15_t *) px + 1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+ acc2 = __SMLALD(x3, c0, acc2);
+ acc3 = __SMLALD(x2, c0, acc3);
+
+ c0 = (*py);
+
+ /* Read y[6] */
+#ifdef ARM_MATH_BIG_ENDIAN
+ c0 = c0 << 16U;
+#else
+ c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+ /* Read x[10] */
+ x3 = read_q15x2 ((q15_t *) px + 2);
+ px += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALDX(x1, c0, acc0);
+ acc1 = __SMLALD (x2, c0, acc1);
+ acc2 = __SMLALDX(x2, c0, acc2);
+ acc3 = __SMLALDX(x3, c0, acc3);
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT(acc0 >> 15, 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q15_t) (__SSAT(acc1 >> 15, 16));
+ pOut += inc;
+
+ *pOut = (q15_t) (__SSAT(acc2 >> 15, 16));
+ pOut += inc;
+
+ *pOut = (q15_t) (__SSAT(acc3 >> 15, 16));
+ pOut += inc;
+
+ /* Increment the count by 4 as 4 output values are computed */
+ count += 4U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = blockSize2 % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q63_t) *px++ * *py++);
+ sum += ((q63_t) *px++ * *py++);
+ sum += ((q63_t) *px++ * *py++);
+ sum += ((q63_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += ((q63_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment count by 1, as one output value is computed */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q63_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = count >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+ /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* If the count is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = count % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum = __SMLALD(*px++, *py++, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ const q15_t *pIn1 = pSrcA; /* InputA pointer */
+ const q15_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */
+ q63_t sum; /* Accumulators */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we include zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using convolution but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+ }
+
+ /* Loop to calculate convolution for output length number of values */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry on MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - (int32_t) j)]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = (q15_t) __SSAT((sum >> 15U), 16U);
+ else
+ *pDst++ = (q15_t) __SSAT((sum >> 15U), 16U);
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c
new file mode 100644
index 00000000..a5f15fec
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c
@@ -0,0 +1,879 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_q31.c
+ * Description: Correlation of Q31 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q31 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ There is no saturation on intermediate additions.
+ Thus, if the accumulator overflows it wraps around and distorts the result.
+ The input signals should be scaled down to avoid intermediate overflows.
+ Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a
+ maximum of min(srcALen, srcBLen) number of additions is carried internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_correlate_fast_q31() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+#include "arm_vec_filtering.h"
+void arm_correlate_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+ const q31_t *pIn1 = pSrcA; /* inputA pointer */
+ const q31_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ /*
+ * Loop to perform MAC operations according to correlation equation
+ */
+ const q31_t *pX;
+ const q31_t *pY;
+ const q31_t *pA;
+ const q31_t *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 4; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialization of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -4;
+
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv / 4;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ /* compute 2 accumulators per loop */
+ /* size is incrementing for second accumulator */
+ /* Y pointer is decrementing for second accumulator */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count);
+
+ *pDst = (q31_t) acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+ int64_t acc2 = 0LL;
+ int64_t acc3 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /* compute 4 accumulators per loop */
+ /* size is fixed for all accumulators */
+ /* X pointer is incrementing for successive accumulators */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ *pDst = (q31_t) acc2;
+ pDst += incr;
+ *pDst = (q31_t) acc3;
+ pDst += incr;
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /* compute 2 accumulators per loop */
+ /* size is fixed for all accumulators */
+ /* X pointer is incrementing for second accumulator */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, srcBLen);
+
+ *pDst = (q31_t) acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+
+ uint32_t count = (i + 1);
+ int64_t acc0 = 0LL;
+ int64_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /* compute 2 accumulators per loop */
+ /* size is decrementing for second accumulator */
+ /* X pointer is incrementing for second accumulator */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count);
+
+ *pDst = (q31_t) acc0;
+ pDst += incr;
+ *pDst = (q31_t) acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count);
+
+ *pDst = (q31_t) acc;
+ pDst += incr;
+ pA++;
+ }
+}
+#else
+void arm_correlate_q31(
+ const q31_t * pSrcA,
+ uint32_t srcALen,
+ const q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q31_t *pIn1; /* InputA pointer */
+ const q31_t *pIn2; /* InputB pointer */
+ q31_t *pOut = pDst; /* Output pointer */
+ const q31_t *px; /* Intermediate inputA pointer */
+ const q31_t *py; /* Intermediate inputB pointer */
+ const q31_t *pSrc1; /* Intermediate pointers */
+ q63_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1; /* Destination address modifier */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables for holding input and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] * y[srcBLen - 4] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* x[1] * y[srcBLen - 3] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* x[2] * y[srcBLen - 2] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* x[3] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q63_t) *px++ * (*py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unroll by 3 */
+ blkCnt = blockSize2 / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* read x[0], x[1] samples */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Apply loop unrolling and compute 3 MACs simultaneously. */
+ k = srcBLen / 3;
+
+ /* First part of the processing with loop unrolling. Compute 3 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *(py);
+ /* Read x[2] sample */
+ x2 = *(px);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[0] * y[0] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[1] * y[0] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[2] * y[0] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Read y[1] sample */
+ c0 = *(py + 1U);
+ /* Read x[3] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[1] * y[1] */
+ acc0 += ((q63_t) x1 * c0);
+ /* acc1 += x[2] * y[1] */
+ acc1 += ((q63_t) x2 * c0);
+ /* acc2 += x[3] * y[1] */
+ acc2 += ((q63_t) x0 * c0);
+
+ /* Read y[2] sample */
+ c0 = *(py + 2U);
+ /* Read x[4] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulate */
+ /* acc0 += x[2] * y[2] */
+ acc0 += ((q63_t) x2 * c0);
+ /* acc1 += x[3] * y[2] */
+ acc1 += ((q63_t) x0 * c0);
+ /* acc2 += x[4] * y[2] */
+ acc2 += ((q63_t) x1 * c0);
+
+ /* update scratch pointers */
+ px += 3U;
+ py += 3U;
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen - (3 * (srcBLen / 3));
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *(py++);
+
+ /* Read x[7] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[4] */
+ acc0 += ((q63_t) x0 * c0);
+ /* acc1 += x[5] * y[4] */
+ acc1 += ((q63_t) x1 * c0);
+ /* acc2 += x[6] * y[4] */
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (acc0 >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q31_t) (acc1 >> 31);
+ pOut += inc;
+
+ *pOut = (q31_t) (acc2 >> 31);
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 3 */
+ count += 3U;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *px++ * *py++;
+ sum += (q63_t) *px++ * *py++;
+ sum += (q63_t) *px++ * *py++;
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (q63_t) *px++ * *py++;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q31_t) (sum >> 31);
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q31_t *pIn1 = pSrcA; /* InputA pointer */
+ const q31_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */
+ q63_t sum; /* Accumulators */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we include zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using correlation but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+ }
+
+ /* Loop to calculate correlation for output length number of times */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to correlation equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - (int32_t) j)]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = (q31_t) (sum >> 31U);
+ else
+ *pDst++ = (q31_t) (sum >> 31U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c
new file mode 100644
index 00000000..0b924e82
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c
@@ -0,0 +1,1002 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_correlate_q7.c
+ * Description: Correlation of Q7 sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup Corr
+ @{
+ */
+
+/**
+ @brief Correlation of Q7 sequences.
+ @param[in] pSrcA points to the first input sequence
+ @param[in] srcALen length of the first input sequence
+ @param[in] pSrcB points to the second input sequence
+ @param[in] srcBLen length of the second input sequence
+ @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.
+ The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.
+
+ @remark
+ Refer to \ref arm_correlate_opt_q7() for a faster implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+#include "arm_helium_utils.h"
+
+#include "arm_vec_filtering.h"
+void arm_correlate_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+ const q7_t *pIn1 = pSrcA; /* inputA pointer */
+ const q7_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */
+ const q7_t *pX, *pY;
+ const q7_t *pA, *pB;
+ int32_t i = 0U, j = 0; /* loop counters */
+ int32_t inv = 1U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+ int32_t block1, block2, block3;
+ int32_t incr;
+
+ tot = ((srcALen + srcBLen) - 2U);
+ if (srcALen > srcBLen)
+ {
+ /*
+ * Calculating the number of zeros to be padded to the output
+ */
+ j = srcALen - srcBLen;
+ /*
+ * Initialize the pointer after zero padding
+ */
+ pDst += j;
+ }
+ else if (srcALen < srcBLen)
+ {
+ /*
+ * Initialization to inputB pointer
+ */
+ pIn1 = pSrcB;
+ /*
+ * Initialization to the end of inputA pointer
+ */
+ pIn2 = pSrcA + (srcALen - 1U);
+ /*
+ * Initialisation of the pointer after zero padding
+ */
+ pDst = pDst + tot;
+ /*
+ * Swapping the lengths
+ */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+ /*
+ * Setting the reverse flag
+ */
+ inv = -1;
+ }
+
+ block1 = srcBLen - 1;
+ block2 = srcALen - srcBLen + 1;
+ block3 = srcBLen - 1;
+
+ pA = pIn1;
+ pB = pIn2;
+ incr = inv;
+
+ for (i = 0U; i <= block1 - 2; i += 2)
+ {
+ uint32_t count = i + 1;
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+
+ /*
+ * compute 2 accumulators per loop
+ * size is incrementing for second accumulator
+ * Y pointer is decrementing for second accumulator
+ */
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ pB -= 2;
+ }
+ for (; i < block1; i++)
+ {
+ uint32_t count = i + 1;
+ int32_t acc = 0;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count);
+
+ *pDst = (q7_t) acc;
+ pDst += incr;
+ pB--;
+ }
+
+ for (i = 0U; i <= block2 - 4; i += 4)
+ {
+ int32_t acc0 = 0;
+ int32_t acc1 = 0;
+ int32_t acc2 = 0;
+ int32_t acc3 = 0;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 4 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for successive accumulators
+ */
+ MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, srcBLen);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ *pDst = (q7_t) acc2;
+ pDst += incr;
+ *pDst = (q7_t) acc3;
+ pDst += incr;
+
+ pA += 4;
+ }
+
+ for (; i <= block2 - 2; i += 2)
+ {
+ int32_t acc0 = 0LL;
+ int32_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is fixed for all accumulators
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, srcBLen);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ pA += 2;
+ }
+
+ if (block2 & 1)
+ {
+ int32_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, srcBLen);
+
+ *pDst = (q7_t) acc;
+ pDst += incr;
+ pA++;
+ }
+
+ for (i = block3 - 1; i >= 0; i -= 2)
+ {
+ uint32_t count = (i + 1);
+ int32_t acc0 = 0LL;
+ int32_t acc1 = 0LL;
+
+ pX = pA;
+ pY = pB;
+ /*
+ * compute 2 accumulators per loop
+ * size is decrementing for second accumulator
+ * X pointer is incrementing for second accumulator
+ */
+ MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count);
+
+ *pDst = (q7_t) acc0;
+ pDst += incr;
+ *pDst = (q7_t) acc1;
+ pDst += incr;
+ pA += 2;
+
+ }
+ for (; i >= 0; i--)
+ {
+ uint32_t count = (i + 1);
+ int64_t acc = 0LL;
+
+ pX = pA;
+ pY = pB;
+ MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count);
+
+ *pDst = (q7_t) acc;
+ pDst += incr;
+ pA++;
+ }
+}
+
+#else
+void arm_correlate_q7(
+ const q7_t * pSrcA,
+ uint32_t srcALen,
+ const q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const q7_t *pIn1; /* InputA pointer */
+ const q7_t *pIn2; /* InputB pointer */
+ q7_t *pOut = pDst; /* Output pointer */
+ const q7_t *px; /* Intermediate inputA pointer */
+ const q7_t *py; /* Intermediate inputB pointer */
+ const q7_t *pSrc1; /* Intermediate pointers */
+ q31_t sum; /* Accumulators */
+ uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ uint32_t j, k, count, blkCnt; /* Loop counters */
+ uint32_t outBlockSize;
+ int32_t inc = 1;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc0, acc1, acc2, acc3; /* Accumulators */
+ q31_t input1, input2; /* Temporary input variables */
+ q15_t in1, in2; /* Temporary input variables */
+ q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables for holding input and coefficient values */
+#endif
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and the destination pointer modifier, inc is set to -1 */
+ /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+ /* But to improve the performance,
+ * we include zeroes in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+ /* If srcALen < srcBLen,
+ * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+ if (srcALen >= srcBLen)
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcA;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcB;
+
+ /* Number of output samples is calculated */
+ outBlockSize = (2U * srcALen) - 1U;
+
+ /* When srcALen > srcBLen, zero padding is done to srcB
+ * to make their lengths equal.
+ * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+ * number of output samples are made zero */
+ j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+ /* Updating the pointer position to non zero value */
+ pOut += j;
+ }
+ else
+ {
+ /* Initialization of inputA pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization of inputB pointer */
+ pIn2 = pSrcA;
+
+ /* srcBLen is always considered as shorter or equal to srcALen */
+ j = srcBLen;
+ srcBLen = srcALen;
+ srcALen = j;
+
+ /* CORR(x, y) = Reverse order(CORR(y, x)) */
+ /* Hence set the destination pointer to point to the last output sample */
+ pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+ /* Destination address modifier is set to -1 */
+ inc = -1;
+ }
+
+ /* The function is internally
+ * divided into three stages according to the number of multiplications that has to be
+ * taken place between inputA samples and inputB samples. In the first stage of the
+ * algorithm, the multiplications increase by one for every iteration.
+ * In the second stage of the algorithm, srcBLen number of multiplications are done.
+ * In the third stage of the algorithm, the multiplications decrease by one
+ * for every iteration. */
+
+ /* The algorithm is implemented in three stages.
+ The loop counters of each stage is initiated here. */
+ blockSize1 = srcBLen - 1U;
+ blockSize2 = srcALen - (srcBLen - 1U);
+ blockSize3 = blockSize1;
+
+ /* --------------------------
+ * Initializations of stage1
+ * -------------------------*/
+
+ /* sum = x[0] * y[srcBlen - 1]
+ * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+ * ....
+ * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+ */
+
+ /* In this stage the MAC operations are increased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = 1U;
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ pSrc1 = pIn2 + (srcBLen - 1U);
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[0] , x[1] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 4] , y[srcBLen - 3] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[0] * y[srcBLen - 4] */
+ /* x[1] * y[srcBLen - 3] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[2] , x[3] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* y[srcBLen - 2] , y[srcBLen - 1] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+ /* x[2] * y[srcBLen - 2] */
+ /* x[3] * y[srcBLen - 1] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* x[0] * y[srcBLen - 1] */
+ sum += (q31_t) ((q15_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ py = pSrc1 - count;
+ px = pIn1;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Decrement loop counter */
+ blockSize1--;
+ }
+
+ /* --------------------------
+ * Initializations of stage2
+ * ------------------------*/
+
+ /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+ * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+ * ....
+ * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ */
+
+ /* Working pointer of inputA */
+ px = pIn1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* count is index by which the pointer pIn1 to be incremented */
+ count = 0U;
+
+ /* -------------------
+ * Stage2 process
+ * ------------------*/
+
+ /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+ * So, to loop unroll over blockSize2,
+ * srcBLen should be greater than or equal to 4 */
+ if (srcBLen >= 4U)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize2 >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* read x[0], x[1], x[2] samples */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ k = srcBLen >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 MACs at a time.
+ ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+ do
+ {
+ /* Read y[0] sample */
+ c0 = *py++;
+ /* Read y[1] sample */
+ c1 = *py++;
+
+ /* Read x[3] sample */
+ x3 = *px++;
+
+ /* x[0] and x[1] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[0] and y[1] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[0] * y[0] + x[1] * y[1] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[1] and x[2] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[1] * y[0] + x[2] * y[1] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[2] * y[0] + x[3] * y[1] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[4] sample */
+ x0 = *px++;
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[3] * y[0] + x[4] * y[1] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ /* Read y[2] sample */
+ c0 = *py++;
+ /* Read y[3] sample */
+ c1 = *py++;
+
+ /* Read x[5] sample */
+ x1 = *px++;
+
+ /* x[2] and x[3] are packed */
+ in1 = (q15_t) x2;
+ in2 = (q15_t) x3;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[2] and y[3] are packed */
+ in1 = (q15_t) c0;
+ in2 = (q15_t) c1;
+
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc0 += x[2] * y[2] + x[3] * y[3] */
+ acc0 = __SMLAD(input1, input2, acc0);
+
+ /* x[3] and x[4] are packed */
+ in1 = (q15_t) x3;
+ in2 = (q15_t) x0;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc1 += x[3] * y[2] + x[4] * y[3] */
+ acc1 = __SMLAD(input1, input2, acc1);
+
+ /* x[4] and x[5] are packed */
+ in1 = (q15_t) x0;
+ in2 = (q15_t) x1;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc2 += x[4] * y[2] + x[5] * y[3] */
+ acc2 = __SMLAD(input1, input2, acc2);
+
+ /* Read x[6] sample */
+ x2 = *px++;
+
+ /* x[5] and x[6] are packed */
+ in1 = (q15_t) x1;
+ in2 = (q15_t) x2;
+
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* acc3 += x[5] * y[2] + x[6] * y[3] */
+ acc3 = __SMLAD(input1, input2, acc3);
+
+ } while (--k);
+
+ /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ k = srcBLen % 0x4U;
+
+ while (k > 0U)
+ {
+ /* Read y[4] sample */
+ c0 = *py++;
+ /* Read x[7] sample */
+ x3 = *px++;
+
+ /* Perform the multiply-accumulates */
+ /* acc0 += x[4] * y[4] */
+ acc0 += ((q15_t) x0 * c0);
+ /* acc1 += x[5] * y[4] */
+ acc1 += ((q15_t) x1 * c0);
+ /* acc2 += x[6] * y[4] */
+ acc2 += ((q15_t) x2 * c0);
+ /* acc3 += x[7] * y[4] */
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Reuse the present samples for the next MAC */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(acc0 >> 7, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ *pOut = (q7_t) (__SSAT(acc1 >> 7, 8));
+ pOut += inc;
+
+ *pOut = (q7_t) (__SSAT(acc2 >> 7, 8));
+ pOut += inc;
+
+ *pOut = (q7_t) (__SSAT(acc3 >> 7, 8));
+ pOut += inc;
+
+ count += 4U;
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Reading two inputs of SrcA buffer and packing */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Reading two inputs of SrcB buffer and packing */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* Perform the multiply-accumulate */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the pointer pIn1 index, count by 1 */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+ }
+ else
+ {
+ /* If the srcBLen is not a multiple of 4,
+ * the blockSize2 loop cannot be unrolled by 4 */
+ blkCnt = blockSize2;
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+ /* srcBLen number of MACS should be performed */
+ k = srcBLen;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py++);
+
+ /* Decrement the loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Increment the MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pIn1 + count;
+ py = pIn2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+ }
+
+
+ /* --------------------------
+ * Initializations of stage3
+ * -------------------------*/
+
+ /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+ * ....
+ * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+ * sum += x[srcALen-1] * y[0]
+ */
+
+ /* In this stage the MAC operations are decreased by 1 for every iteration.
+ The count variable holds the number of MAC operations performed */
+ count = srcBLen - 1U;
+
+ /* Working pointer of inputA */
+ pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+ px = pSrc1;
+
+ /* Working pointer of inputB */
+ py = pIn2;
+
+ /* -------------------
+ * Stage3 process
+ * ------------------*/
+
+ while (blockSize3 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ while (k > 0U)
+ {
+ /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[0] , y[1] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 1] * y[0] */
+ /* sum += x[srcALen - srcBLen + 2] * y[1] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */
+ in1 = (q15_t) *px++;
+ in2 = (q15_t) *px++;
+ input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* y[2] , y[3] */
+ in1 = (q15_t) *py++;
+ in2 = (q15_t) *py++;
+ input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+ /* sum += x[srcALen - srcBLen + 3] * y[2] */
+ /* sum += x[srcALen - srcBLen + 4] * y[3] */
+ sum = __SMLAD(input1, input2, sum);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += ((q15_t) *px++ * *py++);
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+ /* Destination pointer is updated according to the address modifier, inc */
+ pOut += inc;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = ++pSrc1;
+ py = pIn2;
+
+ /* Decrement MAC count */
+ count--;
+
+ /* Decrement loop counter */
+ blockSize3--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const q7_t *pIn1 = pSrcA; /* InputA pointer */
+ const q7_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */
+ q31_t sum; /* Accumulator */
+ uint32_t i = 0U, j; /* Loop counters */
+ uint32_t inv = 0U; /* Reverse order flag */
+ uint32_t tot = 0U; /* Length */
+
+ /* The algorithm implementation is based on the lengths of the inputs. */
+ /* srcB is always made to slide across srcA. */
+ /* So srcBLen is always considered as shorter or equal to srcALen */
+ /* But CORR(x, y) is reverse of CORR(y, x) */
+ /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+ /* and a varaible, inv is set to 1 */
+ /* If lengths are not equal then zero pad has to be done to make the two
+ * inputs of same length. But to improve the performance, we include zeroes
+ * in the output instead of zero padding either of the the inputs*/
+ /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * starting of the output buffer */
+ /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+ * ending of the output buffer */
+ /* Once the zero padding is done the remaining of the output is calcualted
+ * using convolution but with the shorter signal time shifted. */
+
+ /* Calculate the length of the remaining sequence */
+ tot = ((srcALen + srcBLen) - 2U);
+
+ if (srcALen > srcBLen)
+ {
+ /* Calculating the number of zeros to be padded to the output */
+ j = srcALen - srcBLen;
+
+ /* Initialise the pointer after zero padding */
+ pDst += j;
+ }
+
+ else if (srcALen < srcBLen)
+ {
+ /* Initialization to inputB pointer */
+ pIn1 = pSrcB;
+
+ /* Initialization to the end of inputA pointer */
+ pIn2 = pSrcA + (srcALen - 1U);
+
+ /* Initialisation of the pointer after zero padding */
+ pDst = pDst + tot;
+
+ /* Swapping the lengths */
+ j = srcALen;
+ srcALen = srcBLen;
+ srcBLen = j;
+
+ /* Setting the reverse flag */
+ inv = 1;
+ }
+
+ /* Loop to calculate convolution for output length number of times */
+ for (i = 0U; i <= tot; i++)
+ {
+ /* Initialize sum with zero to carry out MAC operations */
+ sum = 0;
+
+ /* Loop to perform MAC operations according to convolution equation */
+ for (j = 0U; j <= i; j++)
+ {
+ /* Check the array limitations */
+ if (((i - j) < srcBLen) && (j < srcALen))
+ {
+ /* z[i] += x[i-j] * y[j] */
+ sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - (int32_t) j)]);
+ }
+ }
+
+ /* Store the output in the destination buffer */
+ if (inv == 1)
+ *pDst-- = (q7_t) __SSAT((sum >> 7U), 8U);
+ else
+ *pDst++ = (q7_t) __SSAT((sum >> 7U), 8U);
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of Corr group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c
new file mode 100644
index 00000000..443efa02
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c
@@ -0,0 +1,951 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_f32.c
+ * Description: FIR decimation for floating-point sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator
+
+ These functions combine an FIR filter together with a decimator.
+ They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion.
+ Conceptually, the functions are equivalent to the block diagram below:
+ \image html FIRDecimator.gif "Components included in the FIR Decimator functions"
+ When decimating by a factor of M, the signal should be prefiltered by a lowpass filter with a normalized
+ cutoff frequency of 1/M in order to prevent aliasing distortion.
+ The user of the function is responsible for providing the filter coefficients.
+
+ The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner.
+ Instead of calculating all of the FIR filter outputs and discarding M-1 out of every M, only the
+ samples output by the decimator are computed.
+ The functions operate on blocks of input and output data.
+ pSrc points to an array of blockSize input values and
+ pDst points to an array of blockSize/M output values.
+ In order to have an integer number of output samples blockSize
+ must always be a multiple of the decimation factor M.
+
+ The library provides separate functions for Q15, Q31 and floating-point data types.
+
+ @par Algorithm:
+ The FIR portion of the algorithm uses the standard form filter:
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ where,
b[n] are the filter coefficients.
+ @par
+ The pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the order:
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable array should be allocated separately.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ - Checks to make sure that the size of the input is a multiple of the decimation factor.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};
+ arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};
+ arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};
+
+ where M is the decimation factor; numTaps is the number of filter coefficients in the filter;
+ pCoeffs is the address of the coefficient buffer;
+ pState is the address of the state buffer.
+ Be sure to set the values in the state buffer to zeros when doing static initialization.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR decimate filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR decimator.
+ @param[in] S points to an instance of the floating-point FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ const float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+ uint32_t blkCntN4;
+ const float32_t *px0, *px1, *px2, *px3;
+ f32x4_t accv, acc0v, acc1v, acc2v, acc3v;
+ f32x4_t x0v, x1v, x2v, x3v;
+ f32x4_t c0v;
+
+ /*
+ * S->pState buffer contains previous frame (numTaps - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (numTaps - 1U);
+ /*
+ * Total number of output samples to be computed
+ */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy 4 * decimation factor number of new input samples into the state buffer
+ */
+ i = (4 * S->M) >> 2;
+ do
+ {
+ vst1q(pStateCurnt, vld1q((const float32_t *)pSrc));
+ pSrc += 4;
+ pStateCurnt += 4;
+ i--;
+ }
+ while (i > 0U);
+
+ /*
+ * Set accumulators to zero
+ */
+ acc0v = vdupq_n_f32(0.0f);
+ acc1v = vdupq_n_f32(0.0f);
+ acc2v = vdupq_n_f32(0.0f);
+ acc3v = vdupq_n_f32(0.0f);
+
+ /*
+ * Initialize state pointer for all the samples
+ */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+ /*
+ * Initialize coeff pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vld1q((const float32_t *)pb);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vfmaq(acc0v, x0v, c0v);
+ acc1v = vfmaq(acc1v, x1v, c0v);
+ acc2v = vfmaq(acc2v, x2v, c0v);
+ acc3v = vfmaq(acc3v, x3v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ /*
+ * If the filter length is not a multiple of 4, compute the remaining filter taps
+ * should be tail predicated
+ */
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrwq_z_f32(pb, p0);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vfmaq_f32(acc0v, x0v, c0v);
+ acc1v = vfmaq_f32(acc1v, x1v, c0v);
+ acc2v = vfmaq_f32(acc2v, x2v, c0v);
+ acc3v = vfmaq_f32(acc3v, x3v, c0v);
+ }
+
+ /* reduction */
+ accv[0] = vecAddAcrossF32Mve(acc0v);
+ accv[1] = vecAddAcrossF32Mve(acc1v);
+ accv[2] = vecAddAcrossF32Mve(acc2v);
+ accv[3] = vecAddAcrossF32Mve(acc3v);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + 4 * S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ vst1q(pDst, accv);
+ pDst += 4;
+
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /*
+ * Copy decimation factor number of new input samples into the state buffer
+ */
+ i = S->M;
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+ }
+ while (--i);
+ /*
+ * Set accumulator to zero
+ */
+ acc0v = vdupq_n_f32(0.0f);
+ /*
+ * Initialize state pointer
+ */
+ px = pState;
+ /*
+ * Initialize coeff pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ c0v = vldrwq_f32(pb);
+ x0v = vldrwq_f32(px);
+ pb += 4;
+ px += 4;
+ acc0v = vfmaq_f32(acc0v, x0v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ c0v = vldrwq_z_f32(pb, p0);
+ x0v = vldrwq_f32(px);
+ acc0v = vfmaq_f32(acc0v, x0v, c0v);
+ }
+ accv[0] = vecAddAcrossF32Mve(acc0v);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * * to process the next group of decimation factor number samples
+ */
+ pState = pState + S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ *pDst++ = accv[0];
+ /*
+ * Decrement the loop counter
+ */
+ blkCntN4--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last numTaps - 1 samples to the start of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+
+ pStateCurnt = S->pState;
+ blkCnt =(numTaps - 1) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_f32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (numTaps - 1) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0);
+ }
+}
+#else
+#if defined(ARM_MATH_NEON)
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px; /* Temporary pointer for state buffer */
+ const float32_t *pb; /* Temporary pointer for coefficient buffer */
+ float32_t sum0; /* Accumulator */
+ float32_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+ uint32_t blkCntN4;
+ float32_t *px0, *px1, *px2, *px3;
+ float32_t x1, x2, x3;
+
+ float32x4_t accv,acc0v,acc1v,acc2v,acc3v;
+ float32x4_t x0v, x1v, x2v, x3v;
+ float32x4_t c0v;
+ float32x2_t temp;
+ float32x4_t sum0v;
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = 4 * S->M;
+
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0v = vdupq_n_f32(0.0);
+ acc1v = vdupq_n_f32(0.0);
+ acc2v = vdupq_n_f32(0.0);
+ acc3v = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Loop over the number of taps.
+ ** Repeat until we've computed numTaps-4 coefficients. */
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0v = vld1q_f32(pb);
+ pb += 4;
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0v = vld1q_f32(px0);
+ x1v = vld1q_f32(px1);
+ x2v = vld1q_f32(px2);
+ x3v = vld1q_f32(px3);
+
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vmlaq_f32(acc0v, x0v, c0v);
+ acc1v = vmlaq_f32(acc1v, x1v, c0v);
+ acc2v = vmlaq_f32(acc2v, x2v, c0v);
+ acc3v = vmlaq_f32(acc3v, x3v, c0v);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ temp = vpadd_f32(vget_low_f32(acc0v),vget_high_f32(acc0v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,0);
+
+ temp = vpadd_f32(vget_low_f32(acc1v),vget_high_f32(acc1v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,1);
+
+ temp = vpadd_f32(vget_low_f32(acc2v),vget_high_f32(acc2v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,2);
+
+ temp = vpadd_f32(vget_low_f32(acc3v),vget_high_f32(acc3v));
+ accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,3);
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 0) + x0 * c0,accv,0);
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 1) + x1 * c0,accv,1);
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 2) + x2 * c0,accv,2);
+ accv = vsetq_lane_f32(vgetq_lane_f32(accv, 3) + x3 * c0,accv,3);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + 4 * S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ vst1q_f32(pDst,accv);
+ pDst += 4;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0v = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Loop over the number of taps.
+ ** Repeat until we've computed numTaps-4 coefficients. */
+ while (tapCnt > 0U)
+ {
+ c0v = vld1q_f32(pb);
+ pb += 4;
+
+ x0v = vld1q_f32(px);
+ px += 4;
+
+ sum0v = vmlaq_f32(sum0v, x0v, c0v);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ temp = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v));
+ sum0 = vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1);
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Decrement the loop counter */
+ blkCntN4--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+ i = (numTaps - 1U) >> 2;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ sum0v = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,sum0v);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+}
+#else
+void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ float32_t *px0; /* Temporary pointer for state buffer */
+ const float32_t *pb; /* Temporary pointer for coefficient buffer */
+ float32_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ float32_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t *px1, *px2, *px3;
+ float32_t x1, x2, x3;
+ float32_t acc1, acc2, acc3;
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 samples at a time */
+ blkCnt = outBlockSize >> 2U;
+
+ /* Samples loop unrolled by 4 */
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 4;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0 = *(px0++);
+ /* Read x[n-numTaps-1] sample for acc1 */
+ x1 = *(px1++);
+ /* Read x[n-numTaps-1] sample for acc2 */
+ x2 = *(px2++);
+ /* Read x[n-numTaps-1] sample for acc3 */
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 4;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = acc0;
+ *pDst++ = acc1;
+ *pDst++ = acc2;
+ *pDst++ = acc3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining samples */
+ blkCnt = outBlockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0.0f;
+
+ /* Initialize state pointer */
+ px0 = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = acc0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+#endif /*defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
new file mode 100644
index 00000000..15bbb78a
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
@@ -0,0 +1,595 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_fast_q15.c
+ * Description: Fast Q15 FIR Decimator
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR decimator (fast variant).
+ @param[in] S points to an instance of the Q15 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of input samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around and distorts the result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2).
+ The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.
+ @remark
+ Refer to \ref arm_fir_decimate_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.
+ Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_decimate_init_q15() to initialize the filter structure.
+ */
+
+#if defined (ARM_MATH_DSP)
+
+void arm_fir_decimate_fast_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q31_t sum0; /* Accumulators */
+ q31_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch state variables for acc0, acc1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc1 = __SMLAD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficients */
+ c1 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLAD(x0, c0, sum0);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLAD(x0, c1, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLAD(x0, c0, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+}
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+void arm_fir_decimate_fast_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q31_t sum0; /* Accumulators */
+ q31_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the Read b[numTaps-1] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+}
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
new file mode 100644
index 00000000..993f7ac7
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
@@ -0,0 +1,390 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_fast_q31.c
+ * Description: Fast Q31 FIR Decimator
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR decimator (fast variant).
+ @param[in] S points to an instance of the Q31 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are added to a 2.30 accumulator.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).
+
+ @remark
+ Refer to \ref arm_fir_decimate_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.
+ Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_decimate_init_q31() to initialize the filter structure.
+ */
+
+void arm_fir_decimate_fast_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *px0; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t *px1, *px2, *px3;
+ q31_t x1, x2, x3;
+ q63_t acc1, acc2, acc3;
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 samples at a time */
+ blkCnt = outBlockSize >> 2U;
+
+ /* Samples loop unrolled by 4 */
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 4;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0 = *(px0++);
+ /* Read x[n-numTaps-1] sample for acc1 */
+ x1 = *(px1++);
+ /* Read x[n-numTaps-1] sample for acc2 */
+ x2 = *(px2++);
+ /* Read x[n-numTaps-1] sample for acc3 */
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+ acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+ acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+ acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 4;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+ *pDst++ = (q31_t) (acc1 << 1);
+ *pDst++ = (q31_t) (acc2 << 1);
+ *pDst++ = (q31_t) (acc3 << 1);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining samples */
+ blkCnt = outBlockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
new file mode 100644
index 00000000..de31b9f4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_init_f32.c
+ * Description: Floating-point FIR Decimator initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR decimator.
+ @param[in,out] S points to an instance of the floating-point FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_f32().
+ M is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_f32(
+ arm_fir_decimate_instance_f32 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The size of the input block must be a multiple of the decimation factor */
+ if ((blockSize % M) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Decimation Factor */
+ S->M = M;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
new file mode 100644
index 00000000..b43df2a0
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_init_q15.c
+ * Description: Initialization function for the Q15 FIR Decimator
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR decimator.
+ @param[in,out] S points to an instance of the Q15 FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples
+ to the call arm_fir_decimate_q15().
+ M is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_q15(
+ arm_fir_decimate_instance_q15 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The size of the input block must be a multiple of the decimation factor */
+ if ((blockSize % M) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Decimation Factor */
+ S->M = M;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
new file mode 100644
index 00000000..7a9490a3
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_init_q31.c
+ * Description: Initialization function for Q31 FIR Decimation filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR decimator.
+ @param[in,out] S points to an instance of the Q31 FIR decimator structure
+ @param[in] numTaps number of coefficients in the filter
+ @param[in] M decimation factor
+ @param[in] pCoeffs points to the filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_q31().
+ M is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_q31(
+ arm_fir_decimate_instance_q31 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The size of the input block must be a multiple of the decimation factor */
+ if ((blockSize % M) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Decimation Factor */
+ S->M = M;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+}
+
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c
new file mode 100644
index 00000000..21f18e5c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c
@@ -0,0 +1,851 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_q15.c
+ * Description: Q15 FIR Decimator
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR decimator.
+ @param[in] S points to an instance of the Q15 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of input samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+
+ @remark
+ Refer to \ref arm_fir_decimate_fast_q15() for a faster but less precise implementation of this function.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ const q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+ uint32_t blkCntN4;
+ const q15_t *px0, *px1, *px2, *px3;
+ q63_t acc0v, acc1v, acc2v, acc3v;
+ q15x8_t x0v, x1v, x2v, x3v;
+ q15x8_t c0v;
+
+ /*
+ * S->pState buffer contains previous frame (numTaps - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (numTaps - 1U);
+ /*
+ * Total number of output samples to be computed
+ */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * Need extra temp variables as 4 * S->M is not necessarily a multiple of 8
+ * and cause final tail predicated post incremented pointers to jump ahead
+ */
+ const q15_t *pSrcTmp = pSrc;
+ q15_t *pStateCurntTmp = pStateCurnt;
+
+ /*
+ * Copy 4 * decimation factor number of new input samples into the state buffer
+ */
+ i = (4 * S->M) >> 3;
+ while (i > 0U)
+ {
+ vstrhq_s16(pStateCurntTmp, vldrhq_s16(pSrcTmp));
+ pSrcTmp += 8;
+ pStateCurntTmp += 8;
+ i--;
+ }
+ i = (4 * S->M) & 7;
+ if (i > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(i);
+ vstrhq_p_s16(pStateCurntTmp, vldrhq_s16(pSrcTmp), p0);
+ }
+
+ pSrc += (4 * S->M);
+ pStateCurnt += (4 * S->M);
+
+ /*
+ * Clear all accumulators
+ */
+ acc0v = 0LL;
+ acc1v = 0LL;
+ acc2v = 0LL;
+ acc3v = 0LL;
+ /*
+ * Initialize state pointer for all the samples
+ */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 3;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrhq_s16(pb);
+ pb += 8;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 8;
+ px1 += 8;
+ px2 += 8;
+ px3 += 8;
+
+ acc0v = vmlaldavaq(acc0v, x0v, c0v);
+ acc1v = vmlaldavaq(acc1v, x1v, c0v);
+ acc2v = vmlaldavaq(acc2v, x2v, c0v);
+ acc3v = vmlaldavaq(acc3v, x3v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ /*
+ * If the filter length is not a multiple of 4, compute the remaining filter taps
+ * should be tail predicated
+ */
+ tapCnt = numTaps & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrhq_z_s16(pb, p0);
+ pb += 8;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 8;
+ px1 += 8;
+ px2 += 8;
+ px3 += 8;
+
+ acc0v = vmlaldavaq(acc0v, x0v, c0v);
+ acc1v = vmlaldavaq(acc1v, x1v, c0v);
+ acc2v = vmlaldavaq(acc2v, x2v, c0v);
+ acc3v = vmlaldavaq(acc3v, x3v, c0v);
+ }
+
+ acc0v = asrl(acc0v, 15);
+ acc1v = asrl(acc1v, 15);
+ acc2v = asrl(acc2v, 15);
+ acc3v = asrl(acc3v, 15);
+ /*
+ * store in the destination buffer.
+ */
+ *pDst++ = (q15_t) __SSAT((q31_t) acc0v, 16);
+ *pDst++ = (q15_t) __SSAT((q31_t) acc1v, 16);;
+ *pDst++ = (q15_t) __SSAT((q31_t) acc2v, 16);;
+ *pDst++ = (q15_t) __SSAT((q31_t) acc3v, 16);;
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + 4 * S->M;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /*
+ * Copy decimation factor number of new input samples into the state buffer
+ */
+ i = S->M;
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+ }
+ while (--i);
+ /*
+ * Set accumulator to zero
+ */
+ acc0v = 0LL;
+ /*
+ * Initialize state pointer
+ */
+ px = pState;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 3;
+ while (tapCnt > 0U)
+ {
+ c0v = vldrhq_s16(pb);
+ x0v = vldrhq_s16(px);
+ pb += 8;
+ px += 8;
+ acc0v = vmlaldavaq(acc0v, x0v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = numTaps & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+ c0v = vldrhq_z_s16(pb, p0);
+ x0v = vldrhq_z_s16(px, p0);
+ acc0v = vmlaldavaq_p(acc0v, x0v, c0v, p0);
+ }
+
+ acc0v = asrl(acc0v, 15);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ *pDst++ = (q15_t) __SSAT((q31_t) acc0v, 16);
+ /*
+ * Decrement the loop counter
+ */
+ blkCntN4--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last numTaps - 1 samples to the start of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+
+ pStateCurnt = S->pState;
+ blkCnt = (numTaps - 1) >> 3;
+ while (blkCnt > 0U)
+ {
+ vstrhq_s16(pStateCurnt, vldrhq_s16(pState));
+ pState += 8;
+ pStateCurnt += 8;
+ blkCnt--;
+ }
+ blkCnt = (numTaps - 1) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_s16(pStateCurnt, vldrhq_s16(pState), p0);
+ }
+}
+#else
+#if defined (ARM_MATH_DSP)
+
+void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t sum0; /* Accumulators */
+ q63_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t c1; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px0);
+ x1 = read_q15x2_ia (&px1);
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch state variables for acc0, acc1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc1 = __SMLALD(x1, c0, acc1);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the b[numTaps-3] and b[numTaps-4] coefficients */
+ c1 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLALD(x0, c0, sum0);
+
+ /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+ x0 = read_q15x2_ia (&px);
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLALD(x0, c1, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 = __SMLALD(x0, c0, sum0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* Copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+}
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t sum0; /* Accumulators */
+ q63_t acc0, acc1;
+ q15_t *px0, *px1;
+ uint32_t blkCntN3;
+ uint32_t numTaps = S->numTaps; /* Number of taps */
+ uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+ /* Total number of output samples to be computed */
+ blkCnt = outBlockSize / 2;
+ blkCntN3 = outBlockSize - (2 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 2 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 2;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+ px1 = pState + S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the Read b[numTaps-1] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+ x1 = *px1++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 2;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ while (blkCntN3 > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px++;
+
+ /* Perform the multiply-accumulate */
+ sum0 += x0 * c0;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* Store filter output, smlad returns the values in 2.14 format */
+ /* so downsacle by 15 to get output in 1.15 */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ blkCntN3--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ i = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ i = (numTaps - 1U) % 0x04U;
+
+ /* copy data */
+ while (i > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+}
+
+#endif /* #if defined (ARM_MATH_DSP) */
+#endif /* defined(ARM_MATH_MVEI) */
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c
new file mode 100644
index 00000000..77bfc168
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c
@@ -0,0 +1,634 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_decimate_q31.c
+ * Description: Q31 FIR Decimator
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_decimate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR decimator.
+ @param[in] S points to an instance of the Q31 FIR decimator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).
+ After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+
+ @remark
+ Refer to \ref arm_fir_decimate_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_fir_decimate_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ const q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+ uint32_t blkCntN4;
+ const q31_t *px0, *px1, *px2, *px3;
+ q63_t acc0v, acc1v, acc2v, acc3v;
+ q31x4_t x0v, x1v, x2v, x3v;
+ q31x4_t c0v;
+
+ /*
+ * S->pState buffer contains previous frame (numTaps - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (numTaps - 1U);
+ /*
+ * Total number of output samples to be computed
+ */
+ blkCnt = outBlockSize / 4;
+ blkCntN4 = outBlockSize - (4 * blkCnt);
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy 4 * decimation factor number of new input samples into the state buffer
+ */
+ i = (4 * S->M) >> 2;
+ do
+ {
+ vst1q(pStateCurnt, vldrwq_s32(pSrc));
+ pSrc += 4;
+ pStateCurnt += 4;
+ i--;
+ }
+ while (i > 0U);
+
+ /*
+ * Clear all accumulators
+ */
+ acc0v = 0LL;
+ acc1v = 0LL;
+ acc2v = 0LL;
+ acc3v = 0LL;
+ /*
+ * Initialize state pointer for all the samples
+ */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrwq_s32(pb);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vrmlaldavhaq(acc0v, x0v, c0v);
+ acc1v = vrmlaldavhaq(acc1v, x1v, c0v);
+ acc2v = vrmlaldavhaq(acc2v, x2v, c0v);
+ acc3v = vrmlaldavhaq(acc3v, x3v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ /*
+ * If the filter length is not a multiple of 4, compute the remaining filter taps
+ * should be tail predicated
+ */
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ /*
+ * Read the b[numTaps-1] coefficient
+ */
+ c0v = vldrwq_z_s32(pb, p0);
+ pb += 4;
+ /*
+ * Read x[n-numTaps-1] sample for acc0
+ */
+ x0v = vld1q(px0);
+ x1v = vld1q(px1);
+ x2v = vld1q(px2);
+ x3v = vld1q(px3);
+ px0 += 4;
+ px1 += 4;
+ px2 += 4;
+ px3 += 4;
+
+ acc0v = vrmlaldavhaq(acc0v, x0v, c0v);
+ acc1v = vrmlaldavhaq(acc1v, x1v, c0v);
+ acc2v = vrmlaldavhaq(acc2v, x2v, c0v);
+ acc3v = vrmlaldavhaq(acc3v, x3v, c0v);
+ }
+
+ acc0v = asrl(acc0v, 31 - 8);
+ acc1v = asrl(acc1v, 31 - 8);
+ acc2v = asrl(acc2v, 31 - 8);
+ acc3v = asrl(acc3v, 31 - 8);
+ /*
+ * store in the destination buffer.
+ */
+ *pDst++ = (q31_t) acc0v;
+ *pDst++ = (q31_t) acc1v;
+ *pDst++ = (q31_t) acc2v;
+ *pDst++ = (q31_t) acc3v;
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples
+ */
+ pState = pState + 4 * S->M;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ while (blkCntN4 > 0U)
+ {
+ /*
+ * Copy decimation factor number of new input samples into the state buffer
+ */
+ i = S->M;
+ do
+ {
+ *pStateCurnt++ = *pSrc++;
+ }
+ while (--i);
+ /*
+ * Set accumulator to zero
+ */
+ acc0v = 0LL;
+ /*
+ * Initialize state pointer
+ */
+ px = pState;
+ /*
+ * Initialize coeff. pointer
+ */
+ pb = pCoeffs;
+ /*
+ * Loop unrolling. Process 4 taps at a time.
+ */
+ tapCnt = numTaps >> 2;
+ /*
+ * Loop over the number of taps. Unroll by a factor of 4.
+ * Repeat until we've computed numTaps-4 coefficients.
+ */
+ while (tapCnt > 0U)
+ {
+ c0v = vldrwq_s32(pb);
+ x0v = vldrwq_s32(px);
+ pb += 4;
+ px += 4;
+ acc0v = vrmlaldavhaq(acc0v, x0v, c0v);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+ tapCnt = numTaps % 0x4U;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ c0v = vldrwq_z_s32(pb, p0);
+ x0v = vldrwq_z_s32(px, p0);
+ acc0v = vrmlaldavhaq_p(acc0v, x0v, c0v, p0);
+ }
+ acc0v = asrl(acc0v, 31 - 8);
+
+ /*
+ * Advance the state pointer by the decimation factor
+ * * to process the next group of decimation factor number samples
+ */
+ pState = pState + S->M;
+ /*
+ * The result is in the accumulator, store in the destination buffer.
+ */
+ *pDst++ = (q31_t) acc0v;
+ /*
+ * Decrement the loop counter
+ */
+ blkCntN4--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last numTaps - 1 samples to the start of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (numTaps - 1) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_s32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (numTaps - 1) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pStateCurnt, vldrwq_s32(pState), p0);
+ }
+}
+#else
+void arm_fir_decimate_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *px0; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t x0, c0; /* Temporary variables to hold state and coefficient values */
+ q63_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t *px1, *px2, *px3;
+ q31_t x1, x2, x3;
+ q63_t acc1, acc2, acc3;
+#endif
+
+ /* S->pState buffer contains previous frame (numTaps - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 samples at a time */
+ blkCnt = outBlockSize >> 2U;
+
+ /* Samples loop unrolled by 4 */
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 * decimation factor number of new input samples into the state buffer */
+ i = S->M * 4;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer for all the samples */
+ px0 = pState;
+ px1 = pState + S->M;
+ px2 = pState + 2 * S->M;
+ px3 = pState + 3 * S->M;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-1] sample for acc0 */
+ x0 = *(px0++);
+ /* Read x[n-numTaps-1] sample for acc1 */
+ x1 = *(px1++);
+ /* Read x[n-numTaps-1] sample for acc2 */
+ x2 = *(px2++);
+ /* Read x[n-numTaps-1] sample for acc3 */
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch state variables for acc0, acc1, acc2, acc3 */
+ x0 = *(px0++);
+ x1 = *(px1++);
+ x2 = *(px2++);
+ x3 = *(px3++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M * 4;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31);
+ *pDst++ = (q31_t) (acc1 >> 31);
+ *pDst++ = (q31_t) (acc2 >> 31);
+ *pDst++ = (q31_t) (acc3 >> 31);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining samples */
+ blkCnt = outBlockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy decimation factor number of new input samples into the state buffer */
+ i = S->M;
+
+ do
+ {
+ *pStateCur++ = *pSrc++;
+
+ } while (--i);
+
+ /* Set accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px0 = pState;
+
+ /* Initialize coeff pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-1] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-2] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-3] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *pb++;
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *pb++;
+
+ /* Fetch 1 state variable */
+ x0 = *px0++;
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by the decimation factor
+ * to process the next group of decimation factor number samples */
+ pState = pState + S->M;
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+/**
+ @} end of FIR_decimate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f16.c
new file mode 100644
index 00000000..f89c2d37
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f16.c
@@ -0,0 +1,940 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_f16.c
+ * Description: Floating-point FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupFilters
+ */
+
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR filter.
+ @param[in] S points to an instance of the floating-point FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define FIR_F32_MAX_COEF_BLK 8
+
+#define FIR_F16_CORE(pSamples, c, NB_TAPS) \
+ vecAcc0 = vdupq_n_f16(0.0f16); \
+ for (int i = 0; i < NB_TAPS; i++) { \
+ vecIn0 = vld1q(&pSamples[i]); \
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c[i]); \
+ }
+
+#define NB_TAPS 4
+__STATIC_INLINE void arm_fir_f16_1_4_mve(const arm_fir_instance_f16 * S,
+ const float16_t * __restrict pSrc,
+ float16_t * __restrict pDst, uint32_t blockSize)
+{
+ float16_t *pState = S->pState; /* State pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float16_t *pStateCur; /* Points to the current sample of the state */
+ const float16_t *pSamples; /* Temporary pointer to the sample buffer */
+ float16_t *pOutput; /* Temporary pointer to the output buffer */
+ const float16_t *pTempSrc; /* Temporary pointer to the source data */
+ float16_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t blkCnt;
+ float16x8_t vecIn0;
+ float16x8_t vecAcc0;
+ float16_t c[NB_TAPS];
+
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ /*
+ * Copy new data into state so that we obtain a continuous sample buffer
+ * containing both the tail end of the old data and the new data.
+ */
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+
+ for (int i = 0; i < NB_TAPS; i++)
+ c[i] = pCoeffs[i];
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0) {
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ FIR_F16_CORE(pSamples, c, NB_TAPS);
+
+ vst1q(pOutput, vecAcc0);
+
+ pOutput += 8;
+ pSamples += 8;
+
+ blkCnt--;
+ }
+
+ blkCnt = blockSize & 7;
+ if (blkCnt)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ FIR_F16_CORE(pSamples, c, NB_TAPS);
+
+ vstrhq_p_f16(pOutput, vecAcc0, p0);
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps >> 3;
+ while (blkCnt > 0) {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 8;
+ pTempDest += 8;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 7;
+ if (blkCnt > 0) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_f16(pTempDest, vld1q(pTempSrc), p0);
+ }
+
+}
+#undef NB_TAPS
+
+#define NB_TAPS 8
+__STATIC_INLINE void arm_fir_f16_5_8_mve(const arm_fir_instance_f16 * S,
+ const float16_t * __restrict pSrc,
+ float16_t * __restrict pDst, uint32_t blockSize)
+{
+ float16_t *pState = S->pState; /* State pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float16_t *pStateCur; /* Points to the current sample of the state */
+ const float16_t *pSamples; /* Temporary pointer to the sample buffer */
+ float16_t *pOutput; /* Temporary pointer to the output buffer */
+ const float16_t *pTempSrc; /* Temporary pointer to the source data */
+ float16_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t blkCnt;
+ float16x8_t vecIn0;
+ float16x8_t vecAcc0;
+ float16_t c[NB_TAPS];
+
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ /*
+ * Copy new data into state so that we obtain a continuous sample buffer
+ * containing both the tail end of the old data and the new data.
+ */
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+
+ for (int i = 0; i < NB_TAPS; i++)
+ c[i] = pCoeffs[i];
+
+ blkCnt = blockSize >> 3;
+ while (blkCnt > 0) {
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ FIR_F16_CORE(pSamples, c, NB_TAPS);
+
+ vst1q(pOutput, vecAcc0);
+
+ pOutput += 8;
+ pSamples += 8;
+
+ blkCnt--;
+ }
+
+ blkCnt = blockSize & 7;
+ if (blkCnt)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ FIR_F16_CORE(pSamples, c, NB_TAPS);
+
+ vstrhq_p_f16(pOutput, vecAcc0, p0);
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps >> 3;
+ while (blkCnt > 0) {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 8;
+ pTempDest += 8;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 7;
+ if (blkCnt > 0) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_f16(pTempDest, vld1q(pTempSrc), p0);
+ }
+
+}
+#undef NB_TAPS
+
+void arm_fir_f16(const arm_fir_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize)
+{
+ float16_t *pRefStatePtr = S->pState + ROUND_UP(blockSize, 8);
+ float16_t *pState = pRefStatePtr ; /* State pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ const float16_t *pSamples; /* Temporary pointer to the sample buffer */
+ float16_t *pOutput; /* Temporary pointer to the output buffer */
+ const float16_t *pTempSrc; /* Temporary pointer to the source data */
+ float16_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ float16_t c0, c1, c2, c3;
+ float16_t c4, c5, c6, c7;
+
+ /*
+ * [1 to 8 taps] specialized routines
+ */
+ if (numTaps <= 4) {
+ arm_fir_f16_1_4_mve(S, pSrc, pDst, blockSize);
+ return;
+ } else if (numTaps <= 8) {
+ arm_fir_f16_5_8_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+
+ pTempSrc = pSrc;
+ pTempDest = &(pState[(numTaps - 1u)]);
+ int cnt = blockSize;
+ do {
+ mve_pred16_t p0 = vctp16q(cnt);
+ vstrhq_p_f16(pTempDest, vld1q(pTempSrc), p0);
+ pTempDest += 8;
+ pTempSrc += 8;
+ cnt -= 8;
+ } while (cnt > 0);
+
+ float16_t *partial_accu_ptr = S->pState;
+
+ pSamples = pState;
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ c4 = *pCoeffs++;
+ c5 = *pCoeffs++;
+ c6 = *pCoeffs++;
+ c7 = *pCoeffs++;
+
+ cnt = blockSize >> 3;
+ while (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ pSamples += 8;
+ vst1q(partial_accu_ptr, vecAcc0);
+ cnt--;
+ partial_accu_ptr += 8;
+ }
+
+ cnt = blockSize & 7;
+ if (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+ mve_pred16_t p0 = vctp16q(cnt);
+
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ vstrhq_p_f16(partial_accu_ptr, vecAcc0,p0);
+ }
+
+ int localTaps = numTaps - FIR_F32_MAX_COEF_BLK;
+ int sample_offset = FIR_F32_MAX_COEF_BLK;
+ while (localTaps > FIR_F32_MAX_COEF_BLK) {
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ c4 = *pCoeffs++;
+ c5 = *pCoeffs++;
+ c6 = *pCoeffs++;
+ c7 = *pCoeffs++;
+
+ partial_accu_ptr = S->pState;
+ pSamples = pState + sample_offset;
+ int cnt = blockSize >> 3;
+ while (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ pSamples += 8;
+ vecAcc0 += vld1q_f16(partial_accu_ptr);
+ vst1q(partial_accu_ptr, vecAcc0);
+ cnt--;
+ partial_accu_ptr += 8;
+ }
+
+ cnt = blockSize & 7;
+ if (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+ mve_pred16_t p0 = vctp16q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ vecAcc0 += vld1q_f16(partial_accu_ptr);
+ vstrhq_p_f16(partial_accu_ptr, vecAcc0,p0);
+ }
+
+ localTaps -= FIR_F32_MAX_COEF_BLK;
+ sample_offset += FIR_F32_MAX_COEF_BLK;
+ }
+
+ pSamples = pState + sample_offset;
+
+ if (localTaps > 4) {
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ c4 = *pCoeffs++;
+ c5 = *pCoeffs++;
+ c6 = *pCoeffs++;
+ c7 = *pCoeffs++;
+ pOutput = pDst;
+
+ partial_accu_ptr = S->pState;
+ cnt = blockSize >> 3;
+ while (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ pSamples += 8;
+ float16x8_t pap = vld1q_f16(partial_accu_ptr);
+ vst1q(pOutput, vecAcc0 + pap);
+ cnt--;
+ partial_accu_ptr += 8;
+ pOutput += 8;
+ }
+
+ cnt = blockSize & 7;
+ if (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+ mve_pred16_t p0 = vctp16q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ float16x8_t pap = vld1q_f16(partial_accu_ptr);
+ vstrhq_p_f16(pOutput, vecAcc0 + pap, p0);
+ pOutput += cnt;
+ }
+
+ } else {
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ pOutput = pDst;
+
+ partial_accu_ptr = S->pState;
+ cnt = blockSize >> 3;
+ while (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ pSamples += 8;
+ float16x8_t pap = vld1q_f16(partial_accu_ptr);
+ vst1q(pOutput, vecAcc0 + pap);
+ cnt--;
+ partial_accu_ptr += 8;
+ pOutput += 8;
+ }
+
+ cnt = blockSize & 7;
+ if (cnt > 0) {
+ float16x8_t vecAcc0;
+ float16x8_t vecIn0;
+
+ mve_pred16_t p0 = vctp16q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ float16x8_t pap = vld1q_f16(partial_accu_ptr);
+ vstrhq_p_f16(pOutput, vecAcc0 + pap, p0);
+ pOutput += cnt;
+ }
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps >> 3;
+ while (blkCnt > 0U) {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 8;
+ pTempDest += 8;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 7;
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_f16(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+#else
+
+void arm_fir_f16(
+ const arm_fir_instance_f16 * S,
+ const float16_t * pSrc,
+ float16_t * pDst,
+ uint32_t blockSize)
+{
+ float16_t *pState = S->pState; /* State pointer */
+ const float16_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float16_t *pStateCurnt; /* Points to the current sample of the state */
+ float16_t *px; /* Temporary pointer for state buffer */
+ const float16_t *pb; /* Temporary pointer for coefficient buffer */
+ _Float16 acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ _Float16 acc1, acc2, acc3, acc4, acc5, acc6, acc7; /* Accumulators */
+ _Float16 x0, x1, x2, x3, x4, x5, x6, x7; /* Temporary variables to hold state values */
+ _Float16 c0; /* Temporary variable to hold coefficient value */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 8 output values simultaneously.
+ * The variables acc0 ... acc7 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+ acc4 = 0.0f;
+ acc5 = 0.0f;
+ acc6 = 0.0f;
+ acc7 = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* This is separated from the others to avoid
+ * a call to __aeabi_memmove which would be slower
+ */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Read the first 7 samples from the state buffer: x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+ x3 = *px++;
+ x4 = *px++;
+ x5 = *px++;
+ x6 = *px++;
+
+ /* Loop unrolling: process 8 taps at a time. */
+ tapCnt = numTaps >> 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample */
+ x7 = *(px++);
+
+ /* acc0 += b[numTaps-1] * x[n-numTaps] */
+ acc0 += x0 * c0;
+
+ /* acc1 += b[numTaps-1] * x[n-numTaps-1] */
+ acc1 += x1 * c0;
+
+ /* acc2 += b[numTaps-1] * x[n-numTaps-2] */
+ acc2 += x2 * c0;
+
+ /* acc3 += b[numTaps-1] * x[n-numTaps-3] */
+ acc3 += x3 * c0;
+
+ /* acc4 += b[numTaps-1] * x[n-numTaps-4] */
+ acc4 += x4 * c0;
+
+ /* acc1 += b[numTaps-1] * x[n-numTaps-5] */
+ acc5 += x5 * c0;
+
+ /* acc2 += b[numTaps-1] * x[n-numTaps-6] */
+ acc6 += x6 * c0;
+
+ /* acc3 += b[numTaps-1] * x[n-numTaps-7] */
+ acc7 += x7 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x1 * c0;
+ acc1 += x2 * c0;
+ acc2 += x3 * c0;
+ acc3 += x4 * c0;
+ acc4 += x5 * c0;
+ acc5 += x6 * c0;
+ acc6 += x7 * c0;
+ acc7 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x2 * c0;
+ acc1 += x3 * c0;
+ acc2 += x4 * c0;
+ acc3 += x5 * c0;
+ acc4 += x6 * c0;
+ acc5 += x7 * c0;
+ acc6 += x0 * c0;
+ acc7 += x1 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x3 * c0;
+ acc1 += x4 * c0;
+ acc2 += x5 * c0;
+ acc3 += x6 * c0;
+ acc4 += x7 * c0;
+ acc5 += x0 * c0;
+ acc6 += x1 * c0;
+ acc7 += x2 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x3 = *(px++);
+ /* Perform the multiply-accumulates */
+ acc0 += x4 * c0;
+ acc1 += x5 * c0;
+ acc2 += x6 * c0;
+ acc3 += x7 * c0;
+ acc4 += x0 * c0;
+ acc5 += x1 * c0;
+ acc6 += x2 * c0;
+ acc7 += x3 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x4 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x5 * c0;
+ acc1 += x6 * c0;
+ acc2 += x7 * c0;
+ acc3 += x0 * c0;
+ acc4 += x1 * c0;
+ acc5 += x2 * c0;
+ acc6 += x3 * c0;
+ acc7 += x4 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x5 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x6 * c0;
+ acc1 += x7 * c0;
+ acc2 += x0 * c0;
+ acc3 += x1 * c0;
+ acc4 += x2 * c0;
+ acc5 += x3 * c0;
+ acc6 += x4 * c0;
+ acc7 += x5 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x6 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x7 * c0;
+ acc1 += x0 * c0;
+ acc2 += x1 * c0;
+ acc3 += x2 * c0;
+ acc4 += x3 * c0;
+ acc5 += x4 * c0;
+ acc6 += x5 * c0;
+ acc7 += x6 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = numTaps % 0x8U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x7 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+ acc4 += x4 * c0;
+ acc5 += x5 * c0;
+ acc6 += x6 * c0;
+ acc7 += x7 * c0;
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+ x3 = x4;
+ x4 = x5;
+ x5 = x6;
+ x6 = x7;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by 8 to process the next group of 8 samples */
+ pState = pState + 8;
+
+ /* The results in the 8 accumulators, store in the destination buffer. */
+ *pDst++ = acc0;
+ *pDst++ = acc1;
+ *pDst++ = acc2;
+ *pDst++ = acc3;
+ *pDst++ = acc4;
+ *pDst++ = acc5;
+ *pDst++ = acc6;
+ *pDst++ = acc7;
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x8U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += (_Float16)*px++ * (_Float16)*pb++;
+
+ i--;
+ }
+
+ /* Store result in destination buffer. */
+ *pDst++ = acc0;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+#endif /* #if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+/**
+* @} end of FIR group
+*/
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c
new file mode 100644
index 00000000..f8c1d806
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c
@@ -0,0 +1,1285 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_f32.c
+ * Description: Floating-point FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR Finite Impulse Response (FIR) Filters
+
+ This set of functions implements Finite Impulse Response (FIR) filters
+ for Q7, Q15, Q31, and floating-point data types. Fast versions of Q15 and Q31 are also provided.
+ The functions operate on blocks of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst points to input and output arrays containing blockSize values.
+
+ @par Algorithm
+ The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations.
+ Each filter coefficient b[n] is multiplied by a state variable which equals a previous input sample x[n].
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ @par + \image html FIR.GIF "Finite Impulse Response filter" + @par +
pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the following order.
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[n](==pSrc[0]), x[n+1](==pSrc[1]), ..., x[n+blockSize-1](==pSrc[blockSize-1])}
+
+ @par
+ Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1.
+ The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters,
+ to be avoided and yields a significant speed improvement.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 4 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 4 different data type filter instance structures
+
+ arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};
+ arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};
+ arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};
+ arm_fir_instance_q7 S = {numTaps, pState, pCoeffs};
+
+ where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer.
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be padded with zero to contain
+ a full number of lanes.
+
+ The array length L must be a multiple of x. L = x * a :
+ - x is 4 for f32
+ - x is 4 for q31
+ - x is 4 for f16 (so managed like the f32 version and not like the q15 one)
+ - x is 8 for q15
+ - x is 16 for q7
+
+ The additional coefficients
+ (x * a - numTaps) must be set to 0.
+ numTaps is still set to its right value in the init function. It means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+
+ @par Helium state buffer
+ The state buffer must contain some additional temporary data
+ used during the computation but which is not the state of the FIR.
+ The first A samples are temporary data.
+ The remaining samples are the state of the FIR filter.
+ @par
+ So the state buffer has size numTaps + A + blockSize - 1 :
+ - A is blockSize for f32
+ - A is 8*ceil(blockSize/8) for f16
+ - A is 8*ceil(blockSize/4) for q31
+ - A is 0 for other datatypes (q15 and q7)
+
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR filter.
+ @param[in] S points to an instance of the floating-point FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define FIR_F32_MAX_COEF_BLK 8
+
+#define FIR_F32_CORE(pSamples, c, NB_TAPS) \
+ vecAcc0 = vdupq_n_f32(0.0f); \
+ for (int i = 0; i < NB_TAPS; i++) { \
+ vecIn0 = vld1q(&pSamples[i]); \
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c[i]); \
+ }
+
+
+#define NB_TAPS 4
+__STATIC_INLINE void arm_fir_f32_1_4_mve(const arm_fir_instance_f32 * S,
+ const float32_t * __restrict pSrc,
+ float32_t * __restrict pDst, uint32_t blockSize)
+{
+ float32_t *pRefStatePtr = S->pState + blockSize;
+ float32_t *pState = pRefStatePtr; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ const float32_t *pSamples; /* Temporary pointer to the sample buffer */
+ float32_t *pOutput; /* Temporary pointer to the output buffer */
+ const float32_t *pTempSrc; /* Temporary pointer to the source data */
+ float32_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t blkCnt;
+ float32x4_t vecIn0;
+ float32x4_t vecAcc0;
+ float32_t c[NB_TAPS];
+ const float32_t *pCoeffsCur = pCoeffs;
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+
+ pSamples = pState;
+ pOutput = pDst;
+
+ for (int i = 0; i < NB_TAPS; i++)
+ c[i] = *pCoeffsCur++;
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0) {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ FIR_F32_CORE(pSamples, c, NB_TAPS);
+
+ vst1q(pOutput, vecAcc0);
+
+ pOutput += 4;
+ pSamples += 4;
+
+ blkCnt--;
+ }
+
+ blkCnt = blockSize & 3;
+ if (blkCnt)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ FIR_F32_CORE(pSamples, c, NB_TAPS);
+
+ vstrwq_p_f32(pOutput, vecAcc0, p0);
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps - 1;
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vstrwq_p_f32(pTempDest, vldrwq_z_f32(pTempSrc, p), p);
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt -= 4;
+ }
+ while (blkCnt > 0);
+}
+#undef NB_TAPS
+
+__STATIC_INLINE void arm_fir_f32_5_8_mve(const arm_fir_instance_f32 * S,
+ const float32_t * __restrict pSrc,
+ float32_t * __restrict pDst, uint32_t blockSize)
+{
+ float32_t *pRefStatePtr = S->pState + blockSize;
+ float32_t *pState = pRefStatePtr; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ const float32_t *pSamples; /* Temporary pointer to the sample buffer */
+ const float32_t *pTempSrc; /* Temporary pointer to the source data */
+ float32_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t blkCnt;
+ float32_t c0, c1, c2, c3;
+ float32_t c4, c5, c6, c7;
+
+
+ pTempSrc = pSrc;
+ pTempDest = &(pState[(numTaps - 1u)]);
+ int cnt = blockSize;
+ do {
+ mve_pred16_t p0 = vctp32q(cnt);
+ vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0);
+ pTempDest += 4;
+ pTempSrc += 4;
+ cnt -= 4;
+ } while(cnt > 0);
+
+
+
+ pSamples = pState;
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ c4 = *pCoeffs++;
+ c5 = *pCoeffs++;
+ c6 = *pCoeffs++;
+ c7 = *pCoeffs++;
+
+ cnt = blockSize >> 2;
+ while(cnt > 0)
+ {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ pSamples += 4;
+ vst1q(pDst, vecAcc0);
+ cnt--;
+ pDst += 4;
+ }
+
+ cnt = blockSize & 3;
+ if (cnt > 0)
+ {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ mve_pred16_t p0 = vctp32q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ vstrwq_p_f32(pDst, vecAcc0,p0);
+ }
+
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+ blkCnt = numTaps;
+ while (blkCnt > 0)
+ {
+ *pTempDest++ = *pTempSrc++;
+ blkCnt--;
+ }
+}
+
+
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+const float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+ /*
+ S->pState is the arm_fir_partial_accu
+ S->pState + blockSize is the FIR state
+ */
+ float32_t *pRefStatePtr = S->pState + blockSize;
+ float32_t *pState = pRefStatePtr ; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ const float32_t *pSamples; /* Temporary pointer to the sample buffer */
+ float32_t *pOutput; /* Temporary pointer to the output buffer */
+ const float32_t *pTempSrc; /* Temporary pointer to the source data */
+ float32_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ float32_t c0, c1, c2, c3;
+ float32_t c4, c5, c6, c7;
+
+ /*
+ * [1 to 8 taps] specialized routines
+ */
+ if (numTaps <= 4)
+ {
+ arm_fir_f32_1_4_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 8)
+ {
+ arm_fir_f32_5_8_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+
+ pTempSrc = pSrc;
+ pTempDest = &(pState[(numTaps - 1u)]);
+ int cnt = blockSize;
+ do {
+ mve_pred16_t p0 = vctp32q(cnt);
+ vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0);
+ pTempDest += 4;
+ pTempSrc += 4;
+ cnt -= 4;
+ } while(cnt > 0);
+
+ float32_t *partial_accu_ptr = S->pState;
+
+ pSamples = pState;
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ c4 = *pCoeffs++;
+ c5 = *pCoeffs++;
+ c6 = *pCoeffs++;
+ c7 = *pCoeffs++;
+
+ cnt = blockSize >> 2;
+ while(cnt > 0) {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ pSamples += 4;
+ vst1q(partial_accu_ptr, vecAcc0);
+ cnt--;
+ partial_accu_ptr += 4;
+ }
+
+ cnt = blockSize & 3;
+ if (cnt > 0)
+ {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ mve_pred16_t p0 = vctp32q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ vstrwq_p_f32(partial_accu_ptr, vecAcc0,p0);
+ }
+
+ int localTaps = numTaps - FIR_F32_MAX_COEF_BLK;
+ int sample_offset = FIR_F32_MAX_COEF_BLK;
+ while (localTaps > FIR_F32_MAX_COEF_BLK) {
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ c4 = *pCoeffs++;
+ c5 = *pCoeffs++;
+ c6 = *pCoeffs++;
+ c7 = *pCoeffs++;
+
+ partial_accu_ptr = S->pState;
+ pSamples = pState + sample_offset;
+ int cnt = blockSize >> 2;
+ while(cnt > 0) {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ pSamples += 4;
+ vecAcc0 += vld1q_f32(partial_accu_ptr);
+ vst1q(partial_accu_ptr, vecAcc0);
+ cnt--;
+ partial_accu_ptr += 4;
+ }
+
+ cnt = blockSize & 3;
+ if (cnt > 0) {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ mve_pred16_t p0 = vctp32q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ vecAcc0 += vld1q_f32(partial_accu_ptr);
+ vstrwq_p_f32(partial_accu_ptr, vecAcc0,p0);
+ }
+
+ localTaps -= FIR_F32_MAX_COEF_BLK;
+ sample_offset += FIR_F32_MAX_COEF_BLK;
+ }
+
+ pSamples = pState + sample_offset;
+
+ if (localTaps > 4) {
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ c4 = *pCoeffs++;
+ c5 = *pCoeffs++;
+ c6 = *pCoeffs++;
+ c7 = *pCoeffs++;
+ pOutput = pDst;
+
+ partial_accu_ptr = S->pState;
+ cnt = blockSize >> 2;
+ while(cnt > 0) {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ pSamples += 4;
+ float32x4_t pap = vld1q_f32(partial_accu_ptr);
+ vst1q(pOutput, vecAcc0+pap);
+ cnt--;
+ partial_accu_ptr += 4;
+ pOutput += 4;
+ }
+
+ cnt = blockSize & 3;
+ if (cnt > 0) {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ mve_pred16_t p0 = vctp32q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ vecIn0 = vld1q(&pSamples[4]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c4);
+ vecIn0 = vld1q(&pSamples[5]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c5);
+ vecIn0 = vld1q(&pSamples[6]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c6);
+ vecIn0 = vld1q(&pSamples[7]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c7);
+ float32x4_t pap = vld1q_f32(partial_accu_ptr);
+ vstrwq_p_f32(pOutput, vecAcc0+pap,p0);
+ pOutput += cnt;
+ }
+ }
+ else {
+ c0 = *pCoeffs++;
+ c1 = *pCoeffs++;
+ c2 = *pCoeffs++;
+ c3 = *pCoeffs++;
+ pOutput = pDst;
+
+ partial_accu_ptr = S->pState;
+ cnt = blockSize >> 2;
+ while(cnt > 0) {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ pSamples += 4;
+ float32x4_t pap = vld1q_f32(partial_accu_ptr);
+ vst1q(pOutput, vecAcc0+pap);
+ cnt--;
+ partial_accu_ptr += 4;
+ pOutput += 4;
+ }
+
+ cnt = blockSize & 3;
+ if (cnt > 0) {
+ float32x4_t vecAcc0;
+ float32x4_t vecIn0;
+
+ mve_pred16_t p0 = vctp32q(cnt);
+
+ vecIn0 = vld1q(pSamples);
+ vecAcc0 = vmulq(vecIn0, c0);
+ vecIn0 = vld1q(&pSamples[1]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c1);
+ vecIn0 = vld1q(&pSamples[2]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c2);
+ vecIn0 = vld1q(&pSamples[3]);
+ vecAcc0 = vfmaq(vecAcc0, vecIn0, c3);
+ float32x4_t pap = vld1q_f32(partial_accu_ptr);
+ vstrwq_p_f32(pOutput, vecAcc0+pap,p0);
+ pOutput += cnt;
+ }
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pRefStatePtr[blockSize];
+ pTempDest = pRefStatePtr;
+
+ blkCnt = numTaps >> 2;
+ while (blkCnt > 0)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 3;
+ if (blkCnt > 0)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+const float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px; /* Temporary pointers for state buffer */
+ const float32_t *pb; /* Temporary pointers for coefficient buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+ float32x4_t accv0,accv1,samples0,samples1,x0,x1,x2,xa,xb,b;
+ float32_t acc;
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* Loop unrolling */
+ blkCnt = blockSize >> 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 8 samples at a time into state buffers */
+ samples0 = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,samples0);
+
+ pStateCurnt += 4;
+ pSrc += 4 ;
+
+ samples1 = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,samples1);
+
+ pStateCurnt += 4;
+ pSrc += 4 ;
+
+ /* Set the accumulators to zero */
+ accv0 = vdupq_n_f32(0);
+ accv1 = vdupq_n_f32(0);
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Loop unroling */
+ i = numTaps >> 2;
+
+ /* Perform the multiply-accumulates */
+ x0 = vld1q_f32(px);
+ x1 = vld1q_f32(px + 4);
+
+ while(i > 0)
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ x2 = vld1q_f32(px + 8);
+ b = vld1q_f32(pb);
+ xa = x0;
+ xb = x1;
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 0));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 0));
+
+ xa = vextq_f32(x0,x1,1);
+ xb = vextq_f32(x1,x2,1);
+
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 1));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 1));
+
+ xa = vextq_f32(x0,x1,2);
+ xb = vextq_f32(x1,x2,2);
+
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 2));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 2));
+
+ xa = vextq_f32(x0,x1,3);
+ xb = vextq_f32(x1,x2,3);
+
+ accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 3));
+ accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 3));
+
+ pb += 4;
+ x0 = x1;
+ x1 = x2;
+ px += 4;
+ i--;
+
+ }
+
+ /* Tail */
+ i = numTaps & 3;
+ x2 = vld1q_f32(px + 8);
+
+ /* Perform the multiply-accumulates */
+ switch(i)
+ {
+ case 3:
+ {
+ accv0 = vmlaq_n_f32(accv0,x0,*pb);
+ accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+ pb++;
+
+ xa = vextq_f32(x0,x1,1);
+ xb = vextq_f32(x1,x2,1);
+
+ accv0 = vmlaq_n_f32(accv0,xa,*pb);
+ accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+ pb++;
+
+ xa = vextq_f32(x0,x1,2);
+ xb = vextq_f32(x1,x2,2);
+
+ accv0 = vmlaq_n_f32(accv0,xa,*pb);
+ accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+ }
+ break;
+ case 2:
+ {
+ accv0 = vmlaq_n_f32(accv0,x0,*pb);
+ accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+ pb++;
+
+ xa = vextq_f32(x0,x1,1);
+ xb = vextq_f32(x1,x2,1);
+
+ accv0 = vmlaq_n_f32(accv0,xa,*pb);
+ accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+ }
+ break;
+ case 1:
+ {
+
+ accv0 = vmlaq_n_f32(accv0,x0,*pb);
+ accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+ }
+ break;
+ default:
+ break;
+ }
+
+ /* The result is stored in the destination buffer. */
+ vst1q_f32(pDst,accv0);
+ pDst += 4;
+ vst1q_f32(pDst,accv1);
+ pDst += 4;
+
+ /* Advance state pointer by 8 for the next 8 samples */
+ pState = pState + 8;
+
+ blkCnt--;
+ }
+
+ /* Tail */
+ blkCnt = blockSize & 0x7;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc += *px++ * *pb++;
+ i--;
+
+ } while (i > 0U);
+
+ /* The result is stored in the destination buffer. */
+ *pDst++ = acc;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last numTaps - 1 samples to the starting of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+ /* Copy numTaps number of values */
+ tapCnt = numTaps - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#else
+void arm_fir_f32(
+ const arm_fir_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px; /* Temporary pointer for state buffer */
+ const float32_t *pb; /* Temporary pointer for coefficient buffer */
+ float32_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t acc1, acc2, acc3, acc4, acc5, acc6, acc7; /* Accumulators */
+ float32_t x0, x1, x2, x3, x4, x5, x6, x7; /* Temporary variables to hold state values */
+ float32_t c0; /* Temporary variable to hold coefficient value */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 8 output values simultaneously.
+ * The variables acc0 ... acc7 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+
+ blkCnt = blockSize >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+ acc4 = 0.0f;
+ acc5 = 0.0f;
+ acc6 = 0.0f;
+ acc7 = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* This is separated from the others to avoid
+ * a call to __aeabi_memmove which would be slower
+ */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Read the first 7 samples from the state buffer: x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+ x3 = *px++;
+ x4 = *px++;
+ x5 = *px++;
+ x6 = *px++;
+
+ /* Loop unrolling: process 8 taps at a time. */
+ tapCnt = numTaps >> 3U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-3] sample */
+ x7 = *(px++);
+
+ /* acc0 += b[numTaps-1] * x[n-numTaps] */
+ acc0 += x0 * c0;
+
+ /* acc1 += b[numTaps-1] * x[n-numTaps-1] */
+ acc1 += x1 * c0;
+
+ /* acc2 += b[numTaps-1] * x[n-numTaps-2] */
+ acc2 += x2 * c0;
+
+ /* acc3 += b[numTaps-1] * x[n-numTaps-3] */
+ acc3 += x3 * c0;
+
+ /* acc4 += b[numTaps-1] * x[n-numTaps-4] */
+ acc4 += x4 * c0;
+
+ /* acc1 += b[numTaps-1] * x[n-numTaps-5] */
+ acc5 += x5 * c0;
+
+ /* acc2 += b[numTaps-1] * x[n-numTaps-6] */
+ acc6 += x6 * c0;
+
+ /* acc3 += b[numTaps-1] * x[n-numTaps-7] */
+ acc7 += x7 * c0;
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x1 * c0;
+ acc1 += x2 * c0;
+ acc2 += x3 * c0;
+ acc3 += x4 * c0;
+ acc4 += x5 * c0;
+ acc5 += x6 * c0;
+ acc6 += x7 * c0;
+ acc7 += x0 * c0;
+
+ /* Read the b[numTaps-3] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x2 * c0;
+ acc1 += x3 * c0;
+ acc2 += x4 * c0;
+ acc3 += x5 * c0;
+ acc4 += x6 * c0;
+ acc5 += x7 * c0;
+ acc6 += x0 * c0;
+ acc7 += x1 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x3 * c0;
+ acc1 += x4 * c0;
+ acc2 += x5 * c0;
+ acc3 += x6 * c0;
+ acc4 += x7 * c0;
+ acc5 += x0 * c0;
+ acc6 += x1 * c0;
+ acc7 += x2 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x3 = *(px++);
+ /* Perform the multiply-accumulates */
+ acc0 += x4 * c0;
+ acc1 += x5 * c0;
+ acc2 += x6 * c0;
+ acc3 += x7 * c0;
+ acc4 += x0 * c0;
+ acc5 += x1 * c0;
+ acc6 += x2 * c0;
+ acc7 += x3 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x4 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x5 * c0;
+ acc1 += x6 * c0;
+ acc2 += x7 * c0;
+ acc3 += x0 * c0;
+ acc4 += x1 * c0;
+ acc5 += x2 * c0;
+ acc6 += x3 * c0;
+ acc7 += x4 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x5 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x6 * c0;
+ acc1 += x7 * c0;
+ acc2 += x0 * c0;
+ acc3 += x1 * c0;
+ acc4 += x2 * c0;
+ acc5 += x3 * c0;
+ acc6 += x4 * c0;
+ acc7 += x5 * c0;
+
+ /* Read the b[numTaps-4] coefficient */
+ c0 = *(pb++);
+
+ /* Read x[n-numTaps-6] sample */
+ x6 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x7 * c0;
+ acc1 += x0 * c0;
+ acc2 += x1 * c0;
+ acc3 += x2 * c0;
+ acc4 += x3 * c0;
+ acc5 += x4 * c0;
+ acc6 += x5 * c0;
+ acc7 += x6 * c0;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = numTaps % 0x8U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x7 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+ acc4 += x4 * c0;
+ acc5 += x5 * c0;
+ acc6 += x6 * c0;
+ acc7 += x7 * c0;
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+ x3 = x4;
+ x4 = x5;
+ x5 = x6;
+ x6 = x7;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by 8 to process the next group of 8 samples */
+ pState = pState + 8;
+
+ /* The results in the 8 accumulators, store in the destination buffer. */
+ *pDst++ = acc0;
+ *pDst++ = acc1;
+ *pDst++ = acc2;
+ *pDst++ = acc3;
+ *pDst++ = acc4;
+ *pDst++ = acc5;
+ *pDst++ = acc6;
+ *pDst++ = acc7;
+
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x8U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0.0f;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += *px++ * *pb++;
+
+ i--;
+ }
+
+ /* Store result in destination buffer. */
+ *pDst++ = acc0;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+* @} end of FIR group
+*/
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f64.c
new file mode 100644
index 00000000..62e7e998
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f64.c
@@ -0,0 +1,129 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_f64.c
+ * Description: Floating-point FIR filter processing function
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR filter.
+ @param[in] S points to an instance of the floating-point FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_fir_f64(
+ const arm_fir_instance_f64 * S,
+ const float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize)
+{
+ float64_t *pState = S->pState; /* State pointer */
+ const float64_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float64_t *pStateCurnt; /* Points to the current sample of the state */
+ float64_t *px; /* Temporary pointer for state buffer */
+ const float64_t *pb; /* Temporary pointer for coefficient buffer */
+ float64_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0.;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += *px++ * *pb++;
+
+ i--;
+ }
+
+ /* Store result in destination buffer. */
+ *pDst++ = acc0;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+* @} end of FIR group
+*/
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c
new file mode 100644
index 00000000..ccd3ed8e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c
@@ -0,0 +1,332 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_fast_q15.c
+ * Description: Q15 Fast FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR filter (fast version).
+ @param[in] S points to an instance of the Q15 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This fast version uses a 32-bit accumulator with 2.30 format.
+ The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around and distorts the result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+ The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.
+
+ @remark
+ Refer to \ref arm_fir_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_init_q15() to initialize the filter structure.
+ */
+
+void arm_fir_fast_q15(
+ const arm_fir_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+ px = pState;
+
+ /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+ pb = pCoeffs;
+
+ /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+ x2 = read_q15x2_ia (&px);
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc0 = __SMLAD(x0, c0, acc0);
+
+ /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+ acc2 = __SMLAD(x2, c0, acc2);
+
+ /* pack x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read state x[n-N-4], x[n-N-5] */
+ x0 = read_q15x2_ia (&px);
+
+ /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* pack x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+ acc3 = __SMLADX(x1, c0, acc3);
+
+ /* Read coefficients b[N-2], b[N-3] */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+ acc0 = __SMLAD(x2, c0, acc0);
+
+ /* Read state x[n-N-6], x[n-N-7] with offset */
+ x2 = read_q15x2_ia (&px);
+
+ /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+ acc2 = __SMLAD(x0, c0, acc2);
+
+ /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* pack x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+ acc3 = __SMLADX(x1, c0, acc3);
+
+ /* Decrement tap count */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps.
+ This is always be 2 taps since the filter length is even. */
+ if ((numTaps & 0x3U) != 0U)
+ {
+ /* Read last two coefficients */
+ c0 = read_q15x2_ia ((q15_t **) &pb);
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLAD(x0, c0, acc0);
+ acc2 = __SMLAD(x2, c0, acc2);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read last state variables */
+ x0 = read_q15x2 (px);
+
+ /* Perform the multiply-accumulates */
+ acc1 = __SMLADX(x1, c0, acc1);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* Perform the multiply-accumulates */
+ acc3 = __SMLADX(x1, c0, acc3);
+ }
+
+ /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation.
+ Then store the 4 outputs in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy two samples into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Use SIMD to hold states and coefficients */
+ px = pState;
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 1U;
+
+ do
+ {
+ acc0 += (q31_t) *px++ * *pb++;
+ acc0 += (q31_t) *px++ * *pb++;
+
+ tapCnt--;
+ }
+ while (tapCnt > 0U);
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ Then store the output in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c
new file mode 100644
index 00000000..bc628c9f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c
@@ -0,0 +1,322 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_fast_q31.c
+ * Description: Processing function for the Q31 Fast FIR filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR filter (fast version).
+ @param[in] S points to an instance of the Q31 structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+ The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+ These intermediate results are added to a 2.30 accumulator.
+ Finally, the accumulator is saturated and converted to a 1.31 result.
+ The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+
+ @remark
+ Refer to \ref arm_fir_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure.
+ Use function \ref arm_fir_init_q31() to initialize the filter structure.
+ */
+
+void arm_fir_fast_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the first 3 samples from the state buffer:
+ * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Loop unrolling. Process 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-4 coefficients. */
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps] coefficient */
+ c0 = *pb;
+
+ /* Read x[n-numTaps-3] sample */
+ x3 = *px;
+
+ /* acc0 += b[numTaps] * x[n-numTaps] */
+ multAcc_32x32_keep32_R(acc0, x0, c0);
+
+ /* acc1 += b[numTaps] * x[n-numTaps-1] */
+ multAcc_32x32_keep32_R(acc1, x1, c0);
+
+ /* acc2 += b[numTaps] * x[n-numTaps-2] */
+ multAcc_32x32_keep32_R(acc2, x2, c0);
+
+ /* acc3 += b[numTaps] * x[n-numTaps-3] */
+ multAcc_32x32_keep32_R(acc3, x3, c0);
+
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb + 1U);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x1, c0);
+ multAcc_32x32_keep32_R(acc1, x2, c0);
+ multAcc_32x32_keep32_R(acc2, x3, c0);
+ multAcc_32x32_keep32_R(acc3, x0, c0);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb + 2U);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x2, c0);
+ multAcc_32x32_keep32_R(acc1, x3, c0);
+ multAcc_32x32_keep32_R(acc2, x0, c0);
+ multAcc_32x32_keep32_R(acc3, x1, c0);
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *(pb + 3U);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px + 3U);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x3, c0);
+ multAcc_32x32_keep32_R(acc1, x0, c0);
+ multAcc_32x32_keep32_R(acc2, x1, c0);
+ multAcc_32x32_keep32_R(acc3, x2, c0);
+
+ /* update coefficient pointer */
+ pb += 4U;
+ px += 4U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ multAcc_32x32_keep32_R(acc0, x0, c0);
+ multAcc_32x32_keep32_R(acc1, x1, c0);
+ multAcc_32x32_keep32_R(acc2, x2, c0);
+ multAcc_32x32_keep32_R(acc3, x3, c0);
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The results in the 4 accumulators are in 2.30 format. Convert to 1.31
+ Then store the 4 outputs in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+ *pDst++ = (q31_t) (acc1 << 1);
+ *pDst++ = (q31_t) (acc2 << 1);
+ *pDst++ = (q31_t) (acc3 << 1);
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ multAcc_32x32_keep32_R(acc0, (*px++), (*pb++));
+ i--;
+ } while (i > 0U);
+
+ /* The result is in 2.30 format. Convert to 1.31
+ Then store the output in the destination buffer. */
+ *pDst++ = (q31_t) (acc0 << 1);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f16.c
new file mode 100644
index 00000000..34913432
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f16.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_f16.c
+ * Description: Floating-point FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR filter.
+ @param[in,out] S points to an instance of the floating-point FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed per call
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 samples (except for Helium - see below), where blockSize is the number of input samples processed by each call to arm_fir_f16().
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 4 (4a) even if less
+ then 4a coefficients are defined in the FIR. The additional coefficients
+ (4a - numTaps) must be set to 0.
+ numTaps is still set to its right value in the init function. It means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+
+ @par Helium state buffer
+ The state buffer must contain some additional temporary data
+ used during the computation but which is not the state of the FIR.
+ The first 8*ceil(blockSize/8) samples are temporary data.
+ The remaining samples are the state of the FIR filter.
+ So the state buffer has size numTaps + 8*ceil(blockSize/8) + blockSize - 1
+
+ */
+
+void arm_fir_init_f16(
+ arm_fir_instance_f16 * S,
+ uint16_t numTaps,
+ const float16_t * pCoeffs,
+ float16_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+ memset(pState, 0, (numTaps + (blockSize - 1U) + ROUND_UP(blockSize, 8)) * sizeof(float16_t));
+#else
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float16_t));
+#endif
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c
new file mode 100644
index 00000000..e0a58755
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c
@@ -0,0 +1,99 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_f32.c
+ * Description: Floating-point FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR filter.
+ @param[in,out] S points to an instance of the floating-point FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed per call
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables and some working memory for the Helium version.
+ pState is of length numTaps+blockSize-1 samples (except for Helium - see below), where blockSize is the number of input samples processed by each call to arm_fir_f32().
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 4 (4a) even if less
+ then 4a coefficients are defined in the FIR. The additional coefficients
+ (4a - numTaps) must be set to 0.
+ numTaps is still set to its right value in the init function. It means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+ @par Helium state buffer
+ The state buffer must contain some additional temporary data
+ used during the computation but which is not the state of the FIR.
+ The first blockSize samples are temporary data.
+ The remaining samples are the state of the FIR filter.
+ So the state buffer has size numTaps + 2 * blockSize - 1
+
+ */
+
+void arm_fir_init_f32(
+ arm_fir_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+ memset(pState, 0, (numTaps + (blockSize - 1U) + blockSize) * sizeof(float32_t));
+#else
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+#endif
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f64.c
new file mode 100644
index 00000000..8c578b50
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f64.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_f64.c
+ * Description: Floating-point FIR filter initialization function
+ *
+ * $Date: 13 September 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR filter.
+ @param[in,out] S points to an instance of the floating-point FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed per call
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables and some working memory for the Helium version.
+ pState is of length numTaps+blockSize-1 samples (except for Helium - see below), where blockSize is the number of input samples processed by each call to arm_fir_f32().
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 4 (4a) even if less
+ then 4a coefficients are defined in the FIR. The additional coefficients
+ (4a - numTaps) must be set to 0.
+ numTaps is still set to its right value in the init function. It means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+ @par Helium state buffer
+ The state buffer must contain some additional temporary data
+ used during the computation but which is not the state of the FIR.
+ The first blockSize samples are temporary data.
+ The remaining samples are the state of the FIR filter.
+ So the state buffer has size numTaps + 2 * blockSize - 1
+
+ */
+
+void arm_fir_init_f64(
+ arm_fir_instance_f64 * S,
+ uint16_t numTaps,
+ const float64_t * pCoeffs,
+ float64_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float64_t));
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c
new file mode 100644
index 00000000..3682fb09
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c
@@ -0,0 +1,145 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_q15.c
+ * Description: Q15 FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR filter.
+ @param[in,out] S points to an instance of the Q15 FIR filter structure.
+ @param[in] numTaps number of filter coefficients in the filter. Must be even and greater than or equal to 4.
+ @param[in] pCoeffs points to the filter coefficients buffer.
+ @param[in] pState points to the state buffer.
+ @param[in] blockSize number of samples processed per call.
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : numTaps is not greater than or equal to 4 and even
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ Note that numTaps must be even and greater than or equal to 4.
+ To implement an odd length filter simply increase numTaps by 1 and set the last coefficient to zero.
+ For example, to implement a filter with numTaps=3 and coefficients
+
+ {0.3, -0.8, 0.3}
+
+ set numTaps=4 and use the coefficients:
+
+ {0.3, -0.8, 0.3, 0}.
+
+ Similarly, to implement a two point filter
+
+ {0.3, -0.3}
+
+ set numTaps=4 and use the coefficients:
+
+ {0.3, -0.3, 0, 0}.
+
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize, when running on Cortex-M4 and Cortex-M3 and is of length numTaps+blockSize-1, when running on Cortex-M0 where blockSize is the number of input samples processed by each call to arm_fir_q15().
+
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 8 (8a) even if less
+ then 8a coefficients are defined in the FIR. The additional coefficients
+ (8a - numTaps) must be set to 0.
+ numTaps is still set to its right value in the init function. It means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+ */
+
+arm_status arm_fir_init_q15(
+ arm_fir_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+#if defined (ARM_MATH_DSP)
+
+ /* The Number of filter coefficients in the filter must be even and at least 4 */
+ if (numTaps & 0x1U)
+ {
+ status = ARM_MATH_ARGUMENT_ERROR;
+ }
+ else
+ {
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear the state buffer. The size is always (blockSize + numTaps ) */
+ memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+
+#else
+
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+
+ return (status);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c
new file mode 100644
index 00000000..96d1fdde
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c
@@ -0,0 +1,100 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_q31.c
+ * Description: Q31 FIR filter initialization function.
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR filter.
+ @param[in,out] S points to an instance of the Q31 FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 samples (except for Helium - see below), where blockSize is the number of input samples processed by each call to arm_fir_q31().
+
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 4 (4a) even if less
+ then 4a coefficients are defined in the FIR. The additional coefficients
+ (4a - numTaps) must be set to 0.
+ numTaps is still set to its right value in the init function. It means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+ @par Helium state buffer
+ The state buffer must contain some additional temporary data
+ used during the computation but which is not the state of the FIR.
+ The first 2*4*ceil(blockSize/4) samples are temporary data.
+ The remaining samples are the state of the FIR filter.
+ So the state buffer has size numTaps + 8*ceil(blockSize/4) + blockSize - 1
+
+ */
+
+void arm_fir_init_q31(
+ arm_fir_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ #if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+ memset(pState, 0, (numTaps + (blockSize - 1U) + 2*ROUND_UP(blockSize, 4)) * sizeof(q31_t));
+ #else
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+ #endif
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c
new file mode 100644
index 00000000..1ad05a55
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c
@@ -0,0 +1,90 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_init_q7.c
+ * Description: Q7 FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q7 FIR filter.
+ @param[in,out] S points to an instance of the Q7 FIR filter structure
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficients buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of samples processed
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to the array of state variables.
+ pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q7().
+
+ @par Initialization of Helium version
+ For Helium version the array of coefficients must be a multiple of 16 (16a) even if less
+ then 16a coefficients are defined in the FIR. The additional coefficients
+ (16a - numTaps) must be set to 0.
+ numTaps is still set to its right value in the init function. It means that
+ the implementation may require to read more coefficients due to the vectorization and
+ to avoid having to manage too many different cases in the code.
+
+ */
+
+void arm_fir_init_q7(
+ arm_fir_instance_q7 * S,
+ uint16_t numTaps,
+ const q7_t * pCoeffs,
+ q7_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q7_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c
new file mode 100644
index 00000000..b6a6ecb7
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c
@@ -0,0 +1,1252 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_f32.c
+ * Description: Floating-point FIR interpolation sequences
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator
+
+ These functions combine an upsampler (zero stuffer) and an FIR filter.
+ They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images.
+ Conceptually, the functions are equivalent to the block diagram below:
+ \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions"
+ After upsampling by a factor of L, the signal should be filtered by a lowpass filter with a normalized
+ cutoff frequency of 1/L in order to eliminate high frequency copies of the spectrum.
+ The user of the function is responsible for providing the filter coefficients.
+
+ The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner.
+ The upsampler inserts L-1 zeros between each sample.
+ Instead of multiplying by these zero values, the FIR filter is designed to skip them.
+ This leads to an efficient implementation without any wasted effort.
+ The functions operate on blocks of input and output data.
+ pSrc points to an array of blockSize input values and
+ pDst points to an array of blockSize*L output values.
+
+ The library provides separate functions for Q15, Q31, and floating-point data types.
+
+ @par Algorithm
+ The functions use a polyphase filter structure:
+ + y[n] = b[0] * x[n] + b[L] * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1] + y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1] + ... + y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1] ++ This approach is more efficient than straightforward upsample-then-filter algorithms. + With this method the computation is reduced by a factor of
1/L when compared to using a standard FIR filter.
+ @par
+ pCoeffs points to a coefficient array of size numTaps.
+ numTaps must be a multiple of the interpolation factor L and this is checked by the
+ initialization functions.
+ Internally, the function divides the FIR filter's impulse response into shorter filters of length
+ phaseLength=numTaps/L.
+ Coefficients are stored in time reversed order.
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size blockSize + phaseLength - 1.
+ Samples in the state buffer are stored in the order:
+
+ {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par
+ The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable array should be allocated separately.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ - Checks to make sure that the length of the filter is a multiple of the interpolation factor.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};
+ arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};
+ arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};
+
+ @par
+ where L is the interpolation factor; phaseLength=numTaps/L is the
+ length of each of the shorter FIR filters used internally,
+ pCoeffs is the address of the coefficient buffer;
+ pState is the address of the state buffer.
+ Be sure to set the values in the state buffer to zeros when doing static initialization.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR interpolate filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point FIR interpolator.
+ @param[in] S points to an instance of the floating-point FIR interpolator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+static void arm_fir_interpolate2_f32_mve(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ const float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+ uint32_t tapCnt;
+ uint32_t blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t strides[4] = { 0, 1 * 2, 2 * 2, 3 * 2 };
+ uint32x4_t vec_strides0 = vld1q_u32(strides);
+ uint32x4_t vec_strides1 = vec_strides0 + 1;
+ f32x4_t acc0, acc1;
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (phaseLen - 1U);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs;
+
+ tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_f32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides1);
+ acc1 = vfmaq_f32(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides0);
+ acc0 = vfmaq_f32(acc0, vecState, vecCoef);
+
+ ptr2 += 4 * 2;
+ ptr1 += 4;
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_z_f32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides1, p0);
+ acc1 = vfmaq_f32(acc1, vecState, vecCoef);
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides0, p0);
+ acc0 = vfmaq_f32(acc0, vecState, vecCoef);
+
+ }
+ *pDst++ = vecAddAcrossF32Mve(acc1);
+ *pDst++ = vecAddAcrossF32Mve(acc0);
+
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ * ** This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_f32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0);
+ }
+}
+
+void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ const float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+ uint32_t tapCnt;
+ uint32_t i, blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t strides[4] = { 0, 1 * S->L, 2 * S->L, 3 * S->L };
+ uint32_t stridesM[4] = { 4, 3, 2, 1 };
+ uint32x4_t vec_stridesM = vld1q_u32(stridesM);
+ uint32x4_t vec_strides = vld1q_u32(strides);
+ f32x4_t acc;
+
+
+ if ( S->L == 2 ) {
+ arm_fir_interpolate2_f32_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ */
+ /*
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + (phaseLen - 1U);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Loop over the Interpolation factor.
+ */
+ i = S->L;
+ while (i > 0U)
+ {
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+ if (i >= 4)
+ {
+ float32_t state0, state1, state2, state3;
+ acc = vdupq_n_f32(0.0f);
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U) - 4;
+ tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ f32x4_t vecCoef;
+ const float32_t *pCoef = ptr2;
+
+ state0 = ptr1[0];
+ state1 = ptr1[1];
+ state2 = ptr1[2];
+ state3 = ptr1[3];
+ ptr1 += 4;
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state0);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state1);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state2);
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state3);
+
+ ptr2 = ptr2 + 4 * S->L;
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ f32x4_t vecCoef;
+ const float32_t *pCoef = ptr2;
+
+ state0 = ptr1[0];
+ state1 = ptr1[1];
+ state2 = ptr1[2];
+ state3 = ptr1[3];
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state1);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state2);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0);
+ pCoef += S->L;
+ acc = vfmaq_n_f32(acc, vecCoef, state3);
+ }
+
+ vst1q(pDst, acc);
+ pDst += 4;
+ i -= 4;
+ }
+ else
+ {
+ acc = vdupq_n_f32(0.0f);
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U);
+
+ tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_f32(ptr1);
+ ptr1 += 4;
+
+ vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides);
+ ptr2 += 4 * S->L;
+ acc = vfmaq_f32(acc, vecState, vecCoef);
+ /*
+ * Decrement the loop counter
+ */
+ tapCnt--;
+ }
+
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+ f32x4_t vecCoef, vecState;
+
+ vecState = vldrwq_z_f32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides, p0);
+ acc = vfmaq_f32(acc, vecState, vecCoef);
+ }
+ *pDst++ = vecAddAcrossF32Mve(acc);
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ }
+
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ * ** This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_f32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0);
+ }
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *ptr1; /* Temporary pointers for state buffer */
+ const float32_t *ptr2; /* Temporary pointers for coefficient buffer */
+ float32_t sum0; /* Accumulators */
+ float32_t c0; /* Temporary variables to hold state and coefficient values */
+ uint32_t i, blkCnt, j; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */
+ uint32_t blkCntN4;
+ float32_t c1, c2, c3;
+
+ float32x4_t sum0v;
+ float32x4_t accV0,accV1;
+ float32x4_t x0v,x1v,x2v,xa,xb;
+ float32x2_t tempV;
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = S->pState + (phaseLen - 1U);
+
+ /* Initialise blkCnt */
+ blkCnt = blockSize >> 3;
+ blkCntN4 = blockSize & 7;
+
+ /* Loop unrolling */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input samples into the state buffer */
+ sum0v = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,sum0v);
+ pSrc += 4;
+ pStateCurnt += 4;
+
+ sum0v = vld1q_f32(pSrc);
+ vst1q_f32(pStateCurnt,sum0v);
+ pSrc += 4;
+ pStateCurnt += 4;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ accV0 = vdupq_n_f32(0.0);
+ accV1 = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0v = vld1q_f32(ptr1);
+ x1v = vld1q_f32(ptr1 + 4);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input samples */
+ x2v = vld1q_f32(ptr1 + 8);
+
+ /* Read the coefficients */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+
+ /* Read the coefficients, inputs and perform multiply-accumulate */
+ c1 = *(ptr2 + S->L);
+
+ xa = vextq_f32(x0v,x1v,1);
+ xb = vextq_f32(x1v,x2v,1);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c1);
+ accV1 = vmlaq_n_f32(accV1,xb,c1);
+
+ /* Read the coefficients, inputs and perform multiply-accumulate */
+ c2 = *(ptr2 + S->L * 2);
+
+ xa = vextq_f32(x0v,x1v,2);
+ xb = vextq_f32(x1v,x2v,2);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c2);
+ accV1 = vmlaq_n_f32(accV1,xb,c2);
+
+ /* Read the coefficients, inputs and perform multiply-accumulate */
+ c3 = *(ptr2 + S->L * 3);
+
+ xa = vextq_f32(x0v,x1v,3);
+ xb = vextq_f32(x1v,x2v,3);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c3);
+ accV1 = vmlaq_n_f32(accV1,xb,c3);
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+ ptr1 += 4;
+ x0v = x1v;
+ x1v = x2v;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ x2v = vld1q_f32(ptr1 + 8);
+
+ switch (tapCnt)
+ {
+ case 3:
+ c0 = *(ptr2);
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+ ptr2 += S->L;
+
+ c0 = *(ptr2);
+
+ xa = vextq_f32(x0v,x1v,1);
+ xb = vextq_f32(x1v,x2v,1);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c0);
+ accV1 = vmlaq_n_f32(accV1,xb,c0);
+ ptr2 += S->L;
+
+ c0 = *(ptr2);
+
+ xa = vextq_f32(x0v,x1v,2);
+ xb = vextq_f32(x1v,x2v,2);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c0);
+ accV1 = vmlaq_n_f32(accV1,xb,c0);
+ ptr2 += S->L;
+
+ break;
+
+ case 2:
+ c0 = *(ptr2);
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+ ptr2 += S->L;
+
+ c0 = *(ptr2);
+
+ xa = vextq_f32(x0v,x1v,1);
+ xb = vextq_f32(x1v,x2v,1);
+
+ accV0 = vmlaq_n_f32(accV0,xa,c0);
+ accV1 = vmlaq_n_f32(accV1,xb,c0);
+ ptr2 += S->L;
+
+ break;
+
+ case 1:
+ c0 = *(ptr2);
+ accV0 = vmlaq_n_f32(accV0,x0v,c0);
+ accV1 = vmlaq_n_f32(accV1,x1v,c0);
+ ptr2 += S->L;
+
+ break;
+
+ default:
+ break;
+
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst = vgetq_lane_f32(accV0, 0);
+ *(pDst + S->L) = vgetq_lane_f32(accV0, 1);
+ *(pDst + 2 * S->L) = vgetq_lane_f32(accV0, 2);
+ *(pDst + 3 * S->L) = vgetq_lane_f32(accV0, 3);
+
+ *(pDst + 4 * S->L) = vgetq_lane_f32(accV1, 0);
+ *(pDst + 5 * S->L) = vgetq_lane_f32(accV1, 1);
+ *(pDst + 6 * S->L) = vgetq_lane_f32(accV1, 2);
+ *(pDst + 7 * S->L) = vgetq_lane_f32(accV1, 3);
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 8;
+
+ pDst += S->L * 7;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+
+ while (blkCntN4 > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0v = vdupq_n_f32(0.0);
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,0);
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Read the input sample */
+ x0v = vld1q_f32(ptr1);
+ ptr1 += 4;
+
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,1);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Read the coefficient */
+ x1v = vsetq_lane_f32(*(ptr2),x1v,3);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0v = vmlaq_f32(sum0v,x0v,x1v);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tempV = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v));
+ sum0 = vget_lane_f32(tempV, 0) + vget_lane_f32(tempV, 1);
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *(ptr1++) * (*ptr2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCntN4--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ sum0v = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,sum0v);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#else
+
+void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ float32_t *ptr1; /* Temporary pointer for state buffer */
+ const float32_t *ptr2; /* Temporary pointer for coefficient buffer */
+ float32_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t acc0, acc1, acc2, acc3;
+ float32_t x0, x1, x2, x3;
+ float32_t c0, c1, c2, c3;
+#endif
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ acc0 = 0.0f;
+ acc1 = 0.0f;
+ acc2 = 0.0f;
+ acc3 = 0.0f;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0 = *(ptr1++);
+ x1 = *(ptr1++);
+ x2 = *(ptr1++);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Read the coefficient */
+ c1 = *(ptr2 + S->L);
+
+ /* Read the input sample */
+ x0 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x1 * c1;
+ acc1 += x2 * c1;
+ acc2 += x3 * c1;
+ acc3 += x0 * c1;
+
+ /* Read the coefficient */
+ c2 = *(ptr2 + S->L * 2);
+
+ /* Read the input sample */
+ x1 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x2 * c2;
+ acc1 += x3 * c2;
+ acc2 += x0 * c2;
+ acc3 += x1 * c2;
+
+ /* Read the coefficient */
+ c3 = *(ptr2 + S->L * 3);
+
+ /* Read the input sample */
+ x2 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x3 * c3;
+ acc1 += x0 * c3;
+ acc2 += x1 * c3;
+ acc3 += x2 * c3;
+
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += x0 * c0;
+ acc1 += x1 * c0;
+ acc2 += x2 * c0;
+ acc3 += x3 * c0;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* update states for next sample processing */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *(pDst ) = acc0;
+ *(pDst + S->L) = acc1;
+ *(pDst + 2 * S->L) = acc2;
+ *(pDst + 3 * S->L) = acc3;
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 4;
+
+ pDst += S->L * 3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0.0f;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0 += *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = phaseLen % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCur; /* Points to the current sample of the state */
+ float32_t *ptr1; /* Temporary pointer for state buffer */
+ const float32_t *ptr2; /* Temporary pointer for coefficient buffer */
+ float32_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+ /* Total number of intput samples */
+ blkCnt = blockSize;
+
+ /* Loop over the blockSize. */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0.0f;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (i - 1U);
+
+ /* Loop over the polyPhase length */
+ tapCnt = phaseLen;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += *ptr1++ * *ptr2;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = sum0;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ tapCnt = phaseLen - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
new file mode 100644
index 00000000..67bdff9c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_init_f32.c
+ * Description: Floating-point FIR interpolator initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR interpolator.
+ @param[in,out] S points to an instance of the floating-point FIR interpolator structure
+ @param[in] L upsample factor
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficient buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ @par
+ The length of the filter numTaps must be a multiple of the interpolation factor L.
+ @par
+ pState points to the array of state variables.
+ pState is of length (numTaps/L)+blockSize-1 words
+ where blockSize is the number of input samples processed by each call to arm_fir_interpolate_f32().
+ */
+
+arm_status arm_fir_interpolate_init_f32(
+ arm_fir_interpolate_instance_f32 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The filter length must be a multiple of the interpolation factor */
+ if ((numTaps % L) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign Interpolation factor */
+ S->L = L;
+
+ /* Assign polyPhaseLength */
+ S->phaseLength = numTaps / L;
+
+ /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+ memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
new file mode 100644
index 00000000..7436aa43
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_init_q15.c
+ * Description: Q15 FIR interpolator initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR interpolator.
+ @param[in,out] S points to an instance of the Q15 FIR interpolator structure
+ @param[in] L upsample factor
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficient buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L
+
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ The length of the filter numTaps must be a multiple of the interpolation factor L.
+ @par
+ pState points to the array of state variables.
+ pState is of length (numTaps/L)+blockSize-1 words
+ where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q15().
+ */
+
+arm_status arm_fir_interpolate_init_q15(
+ arm_fir_interpolate_instance_q15 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The filter length must be a multiple of the interpolation factor */
+ if ((numTaps % L) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign Interpolation factor */
+ S->L = L;
+
+ /* Assign polyPhaseLength */
+ S->phaseLength = numTaps / L;
+
+ /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+ memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
new file mode 100644
index 00000000..15f9e0d3
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_init_q31.c
+ * Description: Q31 FIR interpolator initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR interpolator.
+ @param[in,out] S points to an instance of the Q31 FIR interpolator structure
+ @param[in] L upsample factor
+ @param[in] numTaps number of filter coefficients in the filter
+ @param[in] pCoeffs points to the filter coefficient buffer
+ @param[in] pState points to the state buffer
+ @param[in] blockSize number of input samples to process per call
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ The length of the filter numTaps must be a multiple of the interpolation factor L.
+ @par
+ pState points to the array of state variables.
+ pState is of length (numTaps/L)+blockSize-1 words
+ where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q31().
+ */
+
+arm_status arm_fir_interpolate_init_q31(
+ arm_fir_interpolate_instance_q31 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ arm_status status;
+
+ /* The filter length must be a multiple of the interpolation factor */
+ if ((numTaps % L) != 0U)
+ {
+ /* Set status as ARM_MATH_LENGTH_ERROR */
+ status = ARM_MATH_LENGTH_ERROR;
+ }
+ else
+ {
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign Interpolation factor */
+ S->L = L;
+
+ /* Assign polyPhaseLength */
+ S->phaseLength = numTaps / L;
+
+ /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+ memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ return (status);
+}
+
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c
new file mode 100644
index 00000000..523e1557
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c
@@ -0,0 +1,774 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_q15.c
+ * Description: Q15 FIR interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR interpolator.
+ @param[in] S points to an instance of the Q15 FIR interpolator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+void arm_fir_interpolate_q15(
+ const arm_fir_interpolate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ const q15_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+
+ uint32_t i, blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint16_t strides[8] = {
+ 0, 1 * S->L, 2 * S->L, 3 * S->L,
+ 4 * S->L, 5 * S->L, 6 * S->L, 7 * S->L
+ };
+ uint16x8_t vec_strides0 = *(uint16x8_t *) strides;
+ uint16x8_t vec_strides1 = vec_strides0 + 1;
+ uint16x8_t vec_strides2 = vec_strides0 + 2;
+ uint16x8_t vec_strides3 = vec_strides0 + 3;
+ q15x8_t vecState, vecCoef;
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + ((q15_t) phaseLen - 1);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Loop over the Interpolation factor.
+ */
+ i = S->L;
+ while (i > 0U)
+ {
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+ if (i >= 4)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1 - 3U);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+ q63_t acc3 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides3);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides2);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+ acc3 = vmlaldavaq(acc3, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides3, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides2, p0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc3 = vmlaldavaq(acc3, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ *pDst++ = (q15_t) __SSAT(acc0, 16);
+ *pDst++ = (q15_t) __SSAT(acc1, 16);
+ *pDst++ = (q15_t) __SSAT(acc2, 16);
+ *pDst++ = (q15_t) __SSAT(acc3, 16);
+ i -= 4;
+ }
+ else if (i >= 3)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 2);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides2);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides2, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc2 = vmlaldavaq(acc2, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ *pDst++ = (q15_t) __SSAT(acc0, 16);;
+ *pDst++ = (q15_t) __SSAT(acc1, 16);;
+ *pDst++ = (q15_t) __SSAT(acc2, 16);;
+ i -= 3;
+ }
+ else if (i >= 2)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 1);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc1 = vmlaldavaq(acc1, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+
+ *pDst++ = (q15_t) __SSAT(acc0, 16);
+ *pDst++ = (q15_t) __SSAT(acc1, 16);
+ i -= 2;
+ }
+ else
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U);
+
+ q63_t acc0 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 3;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrhq_s16(ptr1);
+ vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0);
+
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+
+ ptr1 += 8;
+ ptr2 = ptr2 + S->L * 8;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 7;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(tapCnt);
+
+ vecState = vldrhq_z_s16(ptr1, p0);
+ vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0);
+ acc0 = vmlaldavaq(acc0, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 15);
+ *pDst++ = (q15_t) __SSAT(acc0, 16);
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ }
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ * This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 3;
+ while (blkCnt > 0U)
+ {
+ vstrhq_s16(pStateCurnt, vldrhq_s16(pState));
+ pState += 8;
+ pStateCurnt += 8;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_s16(pStateCurnt, vldrhq_s16(pState), p0);
+ }
+}
+#else
+void arm_fir_interpolate_q15(
+ const arm_fir_interpolate_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *ptr1; /* Temporary pointer for state buffer */
+ const q15_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2, acc3;
+ q15_t x0, x1, x2, x3;
+ q15_t c0, c1, c2, c3;
+#endif
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0 = *(ptr1++);
+ x1 = *(ptr1++);
+ x2 = *(ptr1++);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the coefficient */
+ c1 = *(ptr2 + S->L);
+
+ /* Read the input sample */
+ x0 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x1 * c1;
+ acc1 += (q63_t) x2 * c1;
+ acc2 += (q63_t) x3 * c1;
+ acc3 += (q63_t) x0 * c1;
+
+ /* Read the coefficient */
+ c2 = *(ptr2 + S->L * 2);
+
+ /* Read the input sample */
+ x1 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x2 * c2;
+ acc1 += (q63_t) x3 * c2;
+ acc2 += (q63_t) x0 * c2;
+ acc3 += (q63_t) x1 * c2;
+
+ /* Read the coefficient */
+ c3 = *(ptr2 + S->L * 3);
+
+ /* Read the input sample */
+ x2 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x3 * c3;
+ acc1 += (q63_t) x0 * c3;
+ acc2 += (q63_t) x1 * c3;
+ acc3 += (q63_t) x2 * c3;
+
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* update states for next sample processing */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *(pDst ) = (q15_t) (__SSAT((acc0 >> 15), 16));
+ *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16));
+ *(pDst + 2 * S->L) = (q15_t) (__SSAT((acc2 >> 15), 16));
+ *(pDst + 3 * S->L) = (q15_t) (__SSAT((acc3 >> 15), 16));
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 4;
+
+ pDst += S->L * 3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = phaseLen % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ q15_t *ptr1; /* Temporary pointer for state buffer */
+ const q15_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+ /* Total number of intput samples */
+ blkCnt = blockSize;
+
+ /* Loop over the blockSize. */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (i - 1U);
+
+ /* Loop over the polyPhase length */
+ tapCnt = phaseLen;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += ((q63_t) *ptr1++ * *ptr2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Store the result after converting to 1.15 format in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ tapCnt = phaseLen - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI)*/
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c
new file mode 100644
index 00000000..ea217603
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c
@@ -0,0 +1,773 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_interpolate_q31.c
+ * Description: Q31 FIR interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Interpolate
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR interpolator.
+ @param[in] S points to an instance of the Q31 FIR interpolator structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 1/(numTaps/L).
+ since numTaps/L additions occur per output sample.
+ After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+void arm_fir_interpolate_q31(
+ const arm_fir_interpolate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ const q31_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */
+
+ uint32_t i, blkCnt; /* Loop counters */
+ uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t strides[4] = { 0, 1 * S->L, 2 * S->L, 3 * S->L };
+ uint32x4_t vec_strides0 = vld1q_u32(strides);
+ uint32x4_t vec_strides1 = vec_strides0 + 1;
+ uint32x4_t vec_strides2 = vec_strides0 + 2;
+ uint32x4_t vec_strides3 = vec_strides0 + 3;
+ q31x4_t vecState, vecCoef;
+
+ /*
+ * S->pState buffer contains previous frame (phaseLen - 1) samples
+ * pStateCurnt points to the location where the new input data should be written
+ */
+ pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
+ /*
+ * Total number of intput samples
+ */
+ blkCnt = blockSize;
+ /*
+ * Loop over the blockSize.
+ */
+ while (blkCnt > 0U)
+ {
+ /*
+ * Copy new input sample into the state buffer
+ */
+ *pStateCurnt++ = *pSrc++;
+ /*
+ * Loop over the Interpolation factor.
+ */
+ i = S->L;
+ while (i > 0U)
+ {
+ /*
+ * Initialize state pointer
+ */
+ ptr1 = pState;
+ if (i >= 4)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1 - 3U);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+ q63_t acc3 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides3);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides2);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+ acc3 = vrmlaldavhaq(acc3, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides3, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides2, p0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc3 = vrmlaldavhaq(acc3, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ acc1 = asrl(acc1, 31 - 8);
+ acc2 = asrl(acc2, 31 - 8);
+ acc3 = asrl(acc3, 31 - 8);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ *pDst++ = (q31_t) acc2;
+ *pDst++ = (q31_t) acc3;
+ i -= 4;
+ }
+ else if (i >= 3)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 2);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+ q63_t acc2 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides2);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides2, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc2 = vrmlaldavhaq(acc2, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ acc1 = asrl(acc1, 31 - 8);
+ acc2 = asrl(acc2, 31 - 8);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ *pDst++ = (q31_t) acc2;
+ i -= 3;
+ }
+ else if (i >= 2)
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U - 1);
+
+ q63_t acc0 = 0LL;
+ q63_t acc1 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc1 = vrmlaldavhaq(acc1, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ acc1 = asrl(acc1, 31 - 8);
+
+ *pDst++ = (q31_t) acc0;
+ *pDst++ = (q31_t) acc1;
+ i -= 2;
+ }
+ else
+ {
+ /*
+ * Initialize coefficient pointer
+ */
+ ptr2 = pCoeffs + (i - 1U);
+
+ q63_t acc0 = 0LL;
+
+ uint32_t tapCnt = phaseLen >> 2;
+ while (tapCnt > 0U)
+ {
+ vecState = vldrwq_s32(ptr1);
+ vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0);
+
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+
+ ptr1 += 4;
+ ptr2 = ptr2 + S->L * 4;
+ tapCnt--;
+ }
+ tapCnt = phaseLen & 3;
+ if (tapCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(tapCnt);
+
+ vecState = vldrwq_z_s32(ptr1, p0);
+ vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0);
+ acc0 = vrmlaldavhaq(acc0, vecState, vecCoef);
+ }
+
+ acc0 = asrl(acc0, 31 - 8);
+ *pDst++ = (q31_t) acc0;
+ /*
+ * Decrement the loop counter
+ */
+ i--;
+ }
+ }
+ /*
+ * Advance the state pointer by 1
+ * * to process the next group of interpolation factor number samples
+ */
+ pState = pState + 1;
+ /*
+ * Decrement the loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Processing is complete.
+ * ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ * ** This prepares the state buffer for the next function call.
+ */
+
+ /*
+ * Points to the start of the state buffer
+ */
+ pStateCurnt = S->pState;
+ blkCnt = (phaseLen - 1U) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pStateCurnt, vldrwq_s32(pState));
+ pState += 4;
+ pStateCurnt += 4;
+ blkCnt--;
+ }
+ blkCnt = (phaseLen - 1U) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pStateCurnt, vldrwq_s32(pState), p0);
+ }
+}
+#else
+void arm_fir_interpolate_q31(
+ const arm_fir_interpolate_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *ptr1; /* Temporary pointer for state buffer */
+ const q31_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+ uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc0, acc1, acc2, acc3;
+ q31_t x0, x1, x2, x3;
+ q31_t c0, c1, c2, c3;
+#endif
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = (S->L);
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+ tapCnt = phaseLen >> 2U;
+
+ x0 = *(ptr1++);
+ x1 = *(ptr1++);
+ x2 = *(ptr1++);
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Read the coefficient */
+ c1 = *(ptr2 + S->L);
+
+ /* Read the input sample */
+ x0 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x1 * c1;
+ acc1 += (q63_t) x2 * c1;
+ acc2 += (q63_t) x3 * c1;
+ acc3 += (q63_t) x0 * c1;
+
+ /* Read the coefficient */
+ c2 = *(ptr2 + S->L * 2);
+
+ /* Read the input sample */
+ x1 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x2 * c2;
+ acc1 += (q63_t) x3 * c2;
+ acc2 += (q63_t) x0 * c2;
+ acc3 += (q63_t) x1 * c2;
+
+ /* Read the coefficient */
+ c3 = *(ptr2 + S->L * 3);
+
+ /* Read the input sample */
+ x2 = *(ptr1++);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x3 * c3;
+ acc1 += (q63_t) x0 * c3;
+ acc2 += (q63_t) x1 * c3;
+ acc3 += (q63_t) x2 * c3;
+
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += 4 * S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = phaseLen % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the input sample */
+ x3 = *(ptr1++);
+
+ /* Read the coefficient */
+ c0 = *(ptr2);
+
+ /* Perform the multiply-accumulate */
+ acc0 += (q63_t) x0 * c0;
+ acc1 += (q63_t) x1 * c0;
+ acc2 += (q63_t) x2 * c0;
+ acc3 += (q63_t) x3 * c0;
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* update states for next sample processing */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *(pDst ) = (q31_t) (acc0 >> 31);
+ *(pDst + S->L) = (q31_t) (acc1 >> 31);
+ *(pDst + 2 * S->L) = (q31_t) (acc2 >> 31);
+ *(pDst + 3 * S->L) = (q31_t) (acc3 >> 31);
+
+ pDst++;
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 4;
+
+ pDst += S->L * 3;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Address modifier index of coefficient buffer */
+ j = 1U;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (S->L - j);
+
+ /* Loop over the polyPhase length.
+ Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = phaseLen >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = phaseLen % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += (q63_t) *ptr1++ * *ptr2;
+
+ /* Upsampling is done by stuffing L-1 zeros between each sample.
+ * So instead of multiplying zeros with coefficients,
+ * Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (sum0 >> 31);
+
+ /* Increment the address modifier index of coefficient buffer */
+ j++;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ tapCnt = (phaseLen - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ q31_t *ptr1; /* Temporary pointer for state buffer */
+ const q31_t *ptr2; /* Temporary pointer for coefficient buffer */
+ q63_t sum0; /* Accumulators */
+ uint32_t i, blkCnt, tapCnt; /* Loop counters */
+ uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */
+
+ /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+ /* pStateCur points to the location where the new input data should be written */
+ pStateCur = S->pState + (phaseLen - 1U);
+
+ /* Total number of intput samples */
+ blkCnt = blockSize;
+
+ /* Loop over the blockSize. */
+ while (blkCnt > 0U)
+ {
+ /* Copy new input sample into the state buffer */
+ *pStateCur++ = *pSrc++;
+
+ /* Loop over the Interpolation factor. */
+ i = S->L;
+
+ while (i > 0U)
+ {
+ /* Set accumulator to zero */
+ sum0 = 0;
+
+ /* Initialize state pointer */
+ ptr1 = pState;
+
+ /* Initialize coefficient pointer */
+ ptr2 = pCoeffs + (i - 1U);
+
+ /* Loop over the polyPhase length */
+ tapCnt = phaseLen;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum0 += ((q63_t) *ptr1++ * *ptr2);
+
+ /* Increment the coefficient pointer by interpolation factor times. */
+ ptr2 += S->L;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result is in the accumulator, store in the destination buffer. */
+ *pDst++ = (q31_t) (sum0 >> 31);
+
+ /* Decrement loop counter */
+ i--;
+ }
+
+ /* Advance the state pointer by 1
+ * to process the next group of interpolation factor number samples */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+ ** This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCur = S->pState;
+
+ tapCnt = phaseLen - 1U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+/**
+ @} end of FIR_Interpolate group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c
new file mode 100644
index 00000000..77ea75c1
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c
@@ -0,0 +1,453 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_f32.c
+ * Description: Processing function for floating-point FIR Lattice filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters
+
+ This set of functions implements Finite Impulse Response (FIR) lattice filters
+ for Q15, Q31 and floating-point data types. Lattice filters are used in a
+ variety of adaptive filter applications. The filter structure is feedforward and
+ the net impulse response is finite length.
+ The functions operate on blocks
+ of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst point to input and output arrays containing blockSize values.
+
+ @par Algorithm
+ \image html FIRLattice.gif "Finite Impulse Response Lattice filter"
+ The following difference equation is implemented:
+ @par
+ + f0[n] = g0[n] = x[n] + fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M + gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M + y[n] = fM[n] ++ @par +
pCoeffs points to tha array of reflection coefficients of size numStages.
+ Reflection Coefficients are stored in the following order.
+ @par
+
+ {k1, k2, ..., kM}
+
+ where M is number of stages
+ @par
+ pState points to a state array of size numStages.
+ The state variables (g values) hold previous inputs and are stored in the following order.
+
+ {g0[n], g1[n], g2[n] ...gM-1[n]}
+
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:
+
+ arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};
+ arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};
+ arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};
+
+ @par
+ where numStages is the number of stages in the filter;
+ pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the FIR Lattice filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point FIR lattice filter.
+ @param[in] S points to an instance of the floating-point FIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_fir_lattice_f32(
+ const arm_fir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *px; /* Temporary state pointer */
+ const float32_t *pk; /* Temporary coefficient pointer */
+ uint32_t numStages = S->numStages; /* Number of stages in the filter */
+ uint32_t blkCnt, stageCnt; /* Loop counters */
+ float32_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */
+ float32_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */
+ float32_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+ gcurr0 = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read two samples from input buffer */
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+ fcurr1 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* Read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* Process first sample for first tap */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (fcurr0 * (*pk)) + gcurr0;
+
+ /* Process second sample for first tap */
+ fnext1 = (fcurr0 * (*pk)) + fcurr1;
+ gnext1 = (fcurr1 * (*pk)) + fcurr0;
+
+ /* Read next two samples from input buffer */
+ /* f0(n+2) = x(n+2) */
+ fcurr2 = *pSrc++;
+ fcurr3 = *pSrc++;
+
+ /* Process third sample for first tap */
+ fnext2 = (fcurr1 * (*pk)) + fcurr2;
+ gnext2 = (fcurr2 * (*pk)) + fcurr1;
+
+ /* Process fourth sample for first tap */
+ fnext3 = (fcurr2 * (*pk )) + fcurr3;
+ gnext3 = (fcurr3 * (*pk++)) + fcurr2;
+
+ /* Copy only last input sample into the state buffer
+ which will be used for next samples processing */
+ *px++ = fcurr3;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ /* Loop unrolling. Process 4 taps at a time . */
+ stageCnt = (numStages - 1U) >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numStages-3 coefficients. */
+
+ /* Process 2nd, 3rd, 4th and 5th taps ... here */
+ while (stageCnt > 0U)
+ {
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Process first sample for 2nd, 6th .. tap */
+ /* Sample processing for K2, K6.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* Process second sample for 2nd, 6th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+ /* Process third sample for 2nd, 6th .. tap */
+ fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+ /* Process fourth sample for 2nd, 6th .. tap */
+ fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+ gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+ gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g2(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K3, K7.... */
+ /* Process first sample for 3rd, 7th .. tap */
+ /* f3(n) = f2(n) + K3 * g2(n-1) */
+ fcurr0 = (gcurr0 * (*pk)) + fnext0;
+
+ /* Process second sample for 3rd, 7th .. tap */
+ fcurr1 = (gnext0 * (*pk)) + fnext1;
+
+ /* Process third sample for 3rd, 7th .. tap */
+ fcurr2 = (gnext1 * (*pk)) + fnext2;
+
+ /* Process fourth sample for 3rd, 7th .. tap */
+ fcurr3 = (gnext2 * (*pk)) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g3(n) = f2(n) * K3 + g2(n-1) */
+ gnext3 = (fnext3 * (*pk)) + gnext2;
+
+ gnext2 = (fnext2 * (*pk)) + gnext1;
+
+ gnext1 = (fnext1 * (*pk)) + gnext0;
+
+ gnext0 = (fnext0 * (*pk++)) + gcurr0;
+
+
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g3(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K4, K8.... */
+ /* Process first sample for 4th, 8th .. tap */
+ /* f4(n) = f3(n) + K4 * g3(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* Process second sample for 4th, 8th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+ /* Process third sample for 4th, 8th .. tap */
+ fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+ /* Process fourth sample for 4th, 8th .. tap */
+ fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+ /* g4(n) = f3(n) * K4 + g3(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+ gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+ gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g4(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K5, K9.... */
+ /* Process first sample for 5th, 9th .. tap */
+ /* f5(n) = f4(n) + K5 * g4(n-1) */
+ fcurr0 = (gcurr0 * (*pk)) + fnext0;
+
+ /* Process second sample for 5th, 9th .. tap */
+ fcurr1 = (gnext0 * (*pk)) + fnext1;
+
+ /* Process third sample for 5th, 9th .. tap */
+ fcurr2 = (gnext1 * (*pk)) + fnext2;
+
+ /* Process fourth sample for 5th, 9th .. tap */
+ fcurr3 = (gnext2 * (*pk)) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g5(n) = f4(n) * K5 + g4(n-1) */
+ gnext3 = (fnext3 * (*pk)) + gnext2;
+
+ gnext2 = (fnext2 * (*pk)) + gnext1;
+
+ gnext1 = (fnext1 * (*pk)) + gnext0;
+
+ gnext0 = (fnext0 * (*pk++)) + gcurr0;
+
+ stageCnt--;
+ }
+
+ /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+ stageCnt = (numStages - 1U) % 0x4U;
+
+ while (stageCnt > 0U)
+ {
+ gcurr0 = *px;
+
+ /* save g value in state buffer */
+ *px++ = gnext3;
+
+ /* Process four samples for last three taps here */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+ fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+ fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+ gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+ gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ stageCnt--;
+ }
+
+ /* The results in the 4 accumulators, store in the destination buffer. */
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+ *pDst++ = fcurr1;
+ *pDst++ = fcurr2;
+ *pDst++ = fcurr3;
+
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+ /* save g1(n) in state buffer */
+ *px++ = fcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
new file mode 100644
index 00000000..a3a0c224
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_init_f32.c
+ * Description: Floating-point FIR Lattice filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point FIR lattice filter.
+ @param[in] S points to an instance of the floating-point FIR lattice structure
+ @param[in] numStages number of filter stages
+ @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages
+ @param[in] pState points to the state buffer. The array is of length numStages
+ @return none
+ */
+
+void arm_fir_lattice_init_f32(
+ arm_fir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ const float32_t * pCoeffs,
+ float32_t * pState)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always numStages */
+ memset(pState, 0, (numStages) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
new file mode 100644
index 00000000..3996d484
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_init_q15.c
+ * Description: Q15 FIR Lattice filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 FIR lattice filter.
+ @param[in] S points to an instance of the Q15 FIR lattice structure
+ @param[in] numStages number of filter stages
+ @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages
+ @param[in] pState points to the state buffer. The array is of length numStages
+ @return none
+ */
+
+void arm_fir_lattice_init_q15(
+ arm_fir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ const q15_t * pCoeffs,
+ q15_t * pState)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always numStages */
+ memset(pState, 0, (numStages) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
new file mode 100644
index 00000000..4a91b590
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_init_q31.c
+ * Description: Q31 FIR lattice filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 FIR lattice filter.
+ @param[in] S points to an instance of the Q31 FIR lattice structure
+ @param[in] numStages number of filter stages
+ @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages
+ @param[in] pState points to the state buffer. The array is of length numStages
+ @return none
+ */
+
+void arm_fir_lattice_init_q31(
+ arm_fir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ const q31_t * pCoeffs,
+ q31_t * pState)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always numStages */
+ memset(pState, 0, (numStages) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c
new file mode 100644
index 00000000..14b7076d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c
@@ -0,0 +1,506 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_q15.c
+ * Description: Q15 FIR lattice filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for Q15 FIR lattice filter.
+ @param[in] S points to an instance of the Q15 FIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_fir_lattice_q15(
+ const arm_fir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *px; /* Temporary state pointer */
+ const q15_t *pk; /* Temporary coefficient pointer */
+ uint32_t numStages = S->numStages; /* Number of stages in the filter */
+ uint32_t blkCnt, stageCnt; /* Loop counters */
+ q31_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */
+ q31_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */
+ q31_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+ gcurr0 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read two samples from input buffer */
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+ fcurr1 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* Read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* Process first sample for first tap */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Process second sample for first tap */
+ fnext1 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ /* Read next two samples from input buffer */
+ /* f0(n+2) = x(n+2) */
+ fcurr2 = *pSrc++;
+ fcurr3 = *pSrc++;
+
+ /* Process third sample for first tap */
+ fnext2 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + fcurr1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ /* Process fourth sample for first tap */
+ fnext3 = (q31_t) ((fcurr2 * (*pk )) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+ gnext3 = (q31_t) ((fcurr3 * (*pk++)) >> 15U) + fcurr2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ /* Copy only last input sample into the state buffer
+ which will be used for next samples processing */
+ *px++ = (q15_t) fcurr3;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ /* Loop unrolling. Process 4 taps at a time . */
+ stageCnt = (numStages - 1U) >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numStages-3 coefficients. */
+
+ /* Process 2nd, 3rd, 4th and 5th taps ... here */
+ while (stageCnt > 0U)
+ {
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Process first sample for 2nd, 6th .. tap */
+ /* Sample processing for K2, K6.... */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* Process second sample for 2nd, 6th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+
+ /* Process third sample for 2nd, 6th .. tap */
+ fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+
+ /* Process fourth sample for 2nd, 6th .. tap */
+ fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Sample processing for K3, K7.... */
+ /* Process first sample for 3rd, 7th .. tap */
+ /* f3(n) = f2(n) + K3 * g2(n-1) */
+ fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0;
+ fcurr0 = __SSAT(fcurr0, 16);
+
+ /* Process second sample for 3rd, 7th .. tap */
+ fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1;
+ fcurr1 = __SSAT(fcurr1, 16);
+
+ /* Process third sample for 3rd, 7th .. tap */
+ fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2;
+ fcurr2 = __SSAT(fcurr2, 16);
+
+ /* Process fourth sample for 3rd, 7th .. tap */
+ fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3;
+ fcurr3 = __SSAT(fcurr3, 16);
+
+ /* Calculation of state values for next stage */
+ /* g3(n) = f2(n) * K3 + g2(n-1) */
+ gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Sample processing for K4, K8.... */
+ /* Process first sample for 4th, 8th .. tap */
+ /* f4(n) = f3(n) + K4 * g3(n-1) */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* Process second sample for 4th, 8th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+
+ /* Process third sample for 4th, 8th .. tap */
+ fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+
+ /* Process fourth sample for 4th, 8th .. tap */
+ fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+
+ /* g4(n) = f3(n) * K4 + g3(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g4(n) in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Sample processing for K5, K9.... */
+ /* Process first sample for 5th, 9th .. tap */
+ /* f5(n) = f4(n) + K5 * g4(n-1) */
+ fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0;
+ fcurr0 = __SSAT(fcurr0, 16);
+
+ /* Process second sample for 5th, 9th .. tap */
+ fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1;
+ fcurr1 = __SSAT(fcurr1, 16);
+
+ /* Process third sample for 5th, 9th .. tap */
+ fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2;
+ fcurr2 = __SSAT(fcurr2, 16);
+
+ /* Process fourth sample for 5th, 9th .. tap */
+ fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3;
+ fcurr3 = __SSAT(fcurr3, 16);
+
+ /* Calculation of state values for next stage */
+ /* g5(n) = f4(n) * K5 + g4(n-1) */
+ gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ stageCnt--;
+ }
+
+ /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+ stageCnt = (numStages - 1U) % 0x4U;
+
+ while (stageCnt > 0U)
+ {
+ gcurr0 = *px;
+
+ /* save g value in state buffer */
+ *px++ = (q15_t) gnext3;
+
+ /* Process four samples for last three taps here */
+ fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+ fnext1 = __SSAT(fnext1, 16);
+
+ fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+ fnext2 = __SSAT(fnext2, 16);
+
+ fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+ fnext3 = __SSAT(fnext3, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+ gnext3 = __SSAT(gnext3, 16);
+
+ gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+ gnext2 = __SSAT(gnext2, 16);
+
+ gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+ gnext1 = __SSAT(gnext1, 16);
+
+ gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ stageCnt--;
+ }
+
+ /* The results in the 4 accumulators, store in the destination buffer. */
+ /* y(n) = fN(n) */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(fcurr0, fcurr1, 16));
+ write_q15x2_ia (&pDst, __PKHBT(fcurr2, fcurr3, 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(fcurr1, fcurr0, 16));
+ write_q15x2_ia (&pDst, __PKHBT(fcurr3, fcurr2, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) fcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = (q15_t) gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = __SSAT(fcurr0, 16);
+
+ blkCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext, 16);
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* save f0(n) in state buffer */
+ *px++ = (q15_t) fcurr0;
+
+ /* f1(n) is saved in fcurr for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g1(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* save g0(n-1) in state buffer */
+ *px++ = (q15_t) gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+ fnext0 = __SSAT(fnext0, 16);
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+ gnext0 = __SSAT(gnext0, 16);
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = __SSAT(fcurr0, 16);
+
+ blkCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c
new file mode 100644
index 00000000..3b835518
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c
@@ -0,0 +1,505 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_lattice_q31.c
+ * Description: Q31 FIR lattice filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 FIR lattice filter.
+ @param[in] S points to an instance of the Q31 FIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits.
+ */
+
+void arm_fir_lattice_q31(
+ const arm_fir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *px; /* Temporary state pointer */
+ const q31_t *pk; /* Temporary coefficient pointer */
+ uint32_t numStages = S->numStages; /* Number of stages in the filter */
+ uint32_t blkCnt, stageCnt; /* Loop counters */
+ q31_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */
+ q31_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */
+ q31_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+ gcurr0 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read two samples from input buffer */
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+ fcurr1 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* Read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* Process first sample for first tap */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Process second sample for first tap */
+ fnext1 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + fcurr0;
+
+ /* Read next two samples from input buffer */
+ /* f0(n+2) = x(n+2) */
+ fcurr2 = *pSrc++;
+ fcurr3 = *pSrc++;
+
+ /* Process third sample for first tap */
+ fnext2 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + fcurr1;
+
+ /* Process fourth sample for first tap */
+ fnext3 = (q31_t) (((q63_t) fcurr2 * (*pk )) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk++)) >> 32U);
+ gnext3 = (gnext3 << 1U) + fcurr2;
+
+ /* Copy only last input sample into the state buffer
+ which will be used for next samples processing */
+ *px++ = fcurr3;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ /* Loop unrolling. Process 4 taps at a time . */
+ stageCnt = (numStages - 1U) >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numStages-3 coefficients. */
+
+ /* Process 2nd, 3rd, 4th and 5th taps ... here */
+ while (stageCnt > 0U)
+ {
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Process first sample for 2nd, 6th .. tap */
+ /* Sample processing for K2, K6.... */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* Process second sample for 2nd, 6th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+
+ /* Process third sample for 2nd, 6th .. tap */
+ fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+
+ /* Process fourth sample for 2nd, 6th .. tap */
+ fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K3, K7.... */
+ /* Process first sample for 3rd, 7th .. tap */
+ /* f3(n) = f2(n) + K3 * g2(n-1) */
+ fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fcurr0 = (fcurr0 << 1U) + fnext0;
+
+ /* Process second sample for 3rd, 7th .. tap */
+ fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fcurr1 = (fcurr1 << 1U) + fnext1;
+
+ /* Process third sample for 3rd, 7th .. tap */
+ fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fcurr2 = (fcurr2 << 1U) + fnext2;
+
+ /* Process fourth sample for 3rd, 7th .. tap */
+ fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fcurr3 = (fcurr3 << 1U) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g3(n) = f2(n) * K3 + g2(n-1) */
+ gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Read g1(n-1), g3(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K4, K8.... */
+ /* Process first sample for 4th, 8th .. tap */
+ /* f4(n) = f3(n) + K4 * g3(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* Process second sample for 4th, 8th .. tap */
+ /* for sample 2 processing */
+ fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+
+ /* Process third sample for 4th, 8th .. tap */
+ fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+
+ /* Process fourth sample for 4th, 8th .. tap */
+ fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+
+ /* g4(n) = f3(n) * K4 + g3(n-1) */
+ /* Calculation of state values for next stage */
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Read g2(n-1), g4(n-1) .... from state */
+ gcurr0 = *px;
+
+ /* save g4(n) in state buffer */
+ *px++ = gnext3;
+
+ /* Sample processing for K5, K9.... */
+ /* Process first sample for 5th, 9th .. tap */
+ /* f5(n) = f4(n) + K5 * g4(n-1) */
+ fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fcurr0 = (fcurr0 << 1U) + fnext0;
+
+ /* Process second sample for 5th, 9th .. tap */
+ fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fcurr1 = (fcurr1 << 1U) + fnext1;
+
+ /* Process third sample for 5th, 9th .. tap */
+ fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fcurr2 = (fcurr2 << 1U) + fnext2;
+
+ /* Process fourth sample for 5th, 9th .. tap */
+ fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fcurr3 = (fcurr3 << 1U) + fnext3;
+
+ /* Calculation of state values for next stage */
+ /* g5(n) = f4(n) * K5 + g4(n-1) */
+ gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ stageCnt--;
+ }
+
+ /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+ stageCnt = (numStages - 1U) % 0x4U;
+
+ while (stageCnt > 0U)
+ {
+ gcurr0 = *px;
+
+ /* save g value in state buffer */
+ *px++ = gnext3;
+
+ /* Process four samples for last three taps here */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+ fnext1 = (fnext1 << 1U) + fcurr1;
+
+ fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+ fnext2 = (fnext2 << 1U) + fcurr2;
+
+ fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+ fnext3 = (fnext3 << 1U) + fcurr3;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+ gnext3 = (gnext3 << 1U) + gnext2;
+
+ gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+ gnext2 = (gnext2 << 1U) + gnext1;
+
+ gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+ gnext1 = (gnext1 << 1U) + gnext0;
+
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* Update of f values for next coefficient set processing */
+ fcurr0 = fnext0;
+ fcurr1 = fnext1;
+ fcurr2 = fnext2;
+ fcurr3 = fnext3;
+
+ stageCnt--;
+ }
+
+ /* The results in the 4 accumulators, store in the destination buffer. */
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+ *pDst++ = fcurr1;
+ *pDst++ = fcurr2;
+ *pDst++ = fcurr3;
+
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* save g1(n) in state buffer */
+ *px++ = fcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g2(n) from state buffer */
+ gcurr0 = *px;
+
+ /* save g1(n) in state buffer */
+ *px++ = gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+
+ blkCnt--;
+ }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* f0(n) = x(n) */
+ fcurr0 = *pSrc++;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pk = pCoeffs;
+
+ /* read g0(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* for sample 1 processing */
+ /* f1(n) = f0(n) + K1 * g0(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext << 1U) + fcurr0;
+
+ /* g1(n) = f0(n) * K1 + g0(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* save f0(n) in state buffer */
+ *px++ = fcurr0;
+
+ /* f1(n) is saved in fcurr for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt = (numStages - 1U);
+
+ /* stage loop */
+ while (stageCnt > 0U)
+ {
+ /* read g1(n-1) from state buffer */
+ gcurr0 = *px;
+
+ /* save g0(n-1) in state buffer */
+ *px++ = gnext0;
+
+ /* Sample processing for K2, K3.... */
+ /* f2(n) = f1(n) + K2 * g1(n-1) */
+ fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+ fnext0 = (fnext0 << 1U) + fcurr0;
+
+ /* g2(n) = f1(n) * K2 + g1(n-1) */
+ gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+ gnext0 = (gnext0 << 1U) + gcurr0;
+
+ /* f1(n) is saved in fcurr0 for next stage processing */
+ fcurr0 = fnext0;
+
+ stageCnt--;
+ }
+
+ /* y(n) = fN(n) */
+ *pDst++ = fcurr0;
+
+ blkCnt--;
+ }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of FIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c
new file mode 100644
index 00000000..6b7d9905
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c
@@ -0,0 +1,732 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_q15.c
+ * Description: Q15 FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 FIR filter.
+ @param[in] S points to an instance of the Q15 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+
+ @remark
+ Refer to \ref arm_fir_fast_q15() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
+
+
+#define FIR_Q15_CORE(pOutput, nbAcc, nbVecTaps, pSample, vecCoeffs) \
+ for (int j = 0; j < nbAcc; j++) { \
+ const q15_t *pSmp = &pSample[j]; \
+ q63_t acc[4]; \
+ \
+ acc[j] = 0; \
+ for (int i = 0; i < nbVecTaps; i++) { \
+ vecIn0 = vld1q(pSmp + 8 * i); \
+ acc[j] = vmlaldavaq(acc[j], vecIn0, vecCoeffs[i]); \
+ } \
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc[j], 15); \
+ }
+
+#define FIR_Q15_MAIN_CORE() \
+{ \
+ q15_t *pState = S->pState; /* State pointer */ \
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ \
+ q15_t *pStateCur; /* Points to the current sample of the state */ \
+ const q15_t *pSamples; /* Temporary pointer to the sample buffer */ \
+ q15_t *pOutput; /* Temporary pointer to the output buffer */ \
+ const q15_t *pTempSrc; /* Temporary pointer to the source data */ \
+ q15_t *pTempDest; /* Temporary pointer to the destination buffer */\
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */\
+ int32_t blkCnt; \
+ q15x8_t vecIn0; \
+ \
+ /* \
+ * load coefs \
+ */ \
+ q15x8_t vecCoeffs[NBVECTAPS]; \
+ \
+ for (int i = 0; i < NBVECTAPS; i++) \
+ vecCoeffs[i] = vldrhq_s16(pCoeffs + 8 * i); \
+ \
+ /* \
+ * pState points to state array which contains previous frame (numTaps - 1) samples \
+ * pStateCur points to the location where the new input data should be written \
+ */ \
+ pStateCur = &(pState[(numTaps - 1u)]); \
+ pTempSrc = pSrc; \
+ pSamples = pState; \
+ pOutput = pDst; \
+ \
+ blkCnt = blockSize >> 2; \
+ while (blkCnt > 0) { \
+ /* \
+ * Save 4 input samples in the history buffer \
+ */ \
+ vstrhq_s32(pStateCur, vldrhq_s32(pTempSrc)); \
+ pStateCur += 4; \
+ pTempSrc += 4; \
+ \
+ FIR_Q15_CORE(pOutput, 4, NBVECTAPS, pSamples, vecCoeffs); \
+ pSamples += 4; \
+ \
+ blkCnt--; \
+ } \
+ \
+ /* tail */ \
+ int32_t residual = blockSize & 3; \
+ \
+ for (int i = 0; i < residual; i++) \
+ *pStateCur++ = *pTempSrc++; \
+ \
+ FIR_Q15_CORE(pOutput, residual, NBVECTAPS, pSamples, vecCoeffs); \
+ \
+ /* \
+ * Copy the samples back into the history buffer start \
+ */ \
+ pTempSrc = &pState[blockSize]; \
+ pTempDest = pState; \
+ \
+ /* current compiler limitation */ \
+ blkCnt = (numTaps - 1) >> 3; \
+ while (blkCnt > 0) \
+ { \
+ vstrhq_s16(pTempDest, vldrhq_s16(pTempSrc)); \
+ pTempSrc += 8; \
+ pTempDest += 8; \
+ blkCnt--; \
+ } \
+ blkCnt = (numTaps - 1) & 7; \
+ if (blkCnt > 0) \
+ { \
+ mve_pred16_t p = vctp16q(blkCnt); \
+ vstrhq_p_s16(pTempDest, vldrhq_z_s16(pTempSrc, p), p); \
+ } \
+}
+
+static void arm_fir_q15_25_32_mve(const arm_fir_instance_q15 * S,
+ const q15_t * __restrict pSrc,
+ q15_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 32
+ #define NBVECTAPS (NBTAPS / 8)
+ FIR_Q15_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+static void arm_fir_q15_17_24_mve(const arm_fir_instance_q15 * S,
+ const q15_t * __restrict pSrc,
+ q15_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 24
+ #define NBVECTAPS (NBTAPS / 8)
+ FIR_Q15_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+static void arm_fir_q15_9_16_mve(const arm_fir_instance_q15 * S,
+ const q15_t * __restrict pSrc,
+ q15_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 16
+ #define NBVECTAPS (NBTAPS / 8)
+ FIR_Q15_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+static void arm_fir_q15_1_8_mve(const arm_fir_instance_q15 * S,
+ const q15_t * __restrict pSrc,
+ q15_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 8
+ #define NBVECTAPS (NBTAPS / 8)
+ FIR_Q15_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+void arm_fir_q15(
+ const arm_fir_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCur; /* Points to the current sample of the state */
+ const q15_t *pSamples; /* Temporary pointer to the sample buffer */
+ q15_t *pOutput; /* Temporary pointer to the output buffer */
+ const q15_t *pTempSrc; /* Temporary pointer to the source data */
+ q15_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q15x8_t vecIn0;
+ uint32_t tapsBlkCnt = (numTaps + 7) / 8;
+ q63_t acc0, acc1, acc2, acc3;
+
+
+int32_t nbTaps = (numTaps + 7) >> 3;
+
+switch(nbTaps) {
+
+ case 1:
+ arm_fir_q15_1_8_mve(S, pSrc, pDst, blockSize);
+ return;
+ case 2:
+ arm_fir_q15_9_16_mve(S, pSrc, pDst, blockSize);
+ return;
+ case 3:
+ arm_fir_q15_17_24_mve(S, pSrc, pDst, blockSize);
+ return;
+ case 4:
+ arm_fir_q15_25_32_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+ pOutput = pDst;
+ blkCnt = blockSize >> 2;
+
+ while (blkCnt > 0U)
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmlaldavaq(acc2, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vmlaldavaq(acc3, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc3, 15);
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ *(q15x8_t *) pStateCur = *(q15x8_t *) pTempSrc;
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[4]);
+ acc2 = vmlaldavaq(acc2, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15);
+ }
+ break;
+
+ case 2:
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ }
+ break;
+
+ case 1:
+ {
+ const q15_t *pCoeffsTmp = pCoeffs;
+ const q15_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+
+ /*
+ * Save 8 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 8;
+ pTempSrc += 8;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ /*
+ * load 8 coefs
+ */
+ q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 8;
+ pCoeffsTmp += 8;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ }
+ break;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps >> 3;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 8;
+ pTempDest += 8;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vstrhq_p_s16(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+#else
+void arm_fir_q15(
+ const arm_fir_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px; /* Temporary pointer for state buffer */
+ const q15_t *pb; /* Temporary pointer for coefficient buffer */
+ q63_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2, acc3; /* Accumulators */
+ q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+ px = pState;
+
+ /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+ pb = pCoeffs;
+
+ /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */
+ x0 = read_q15x2_ia (&px);
+
+ /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+ x2 = read_q15x2_ia (&px);
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */
+ c0 = read_q15x2_ia (&pb);
+
+ /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc0 = __SMLALD(x0, c0, acc0);
+
+ /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+ acc2 = __SMLALD(x2, c0, acc2);
+
+ /* pack x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read state x[n-N-4], x[n-N-5] */
+ x0 = read_q15x2_ia (&px);
+
+ /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* pack x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ /* Read coefficients b[N-2], b[N-3] */
+ c0 = read_q15x2_ia (&pb);
+
+ /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+ acc0 = __SMLALD(x2, c0, acc0);
+
+ /* Read state x[n-N-6], x[n-N-7] with offset */
+ x2 = read_q15x2_ia (&px);
+
+ /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+ acc2 = __SMLALD(x0, c0, acc2);
+
+ /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* pack x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+ acc3 = __SMLALDX(x1, c0, acc3);
+
+ /* Decrement tap count */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps.
+ This is always be 2 taps since the filter length is even. */
+ if ((numTaps & 0x3U) != 0U)
+ {
+ /* Read last two coefficients */
+ c0 = read_q15x2_ia (&pb);
+
+ /* Perform the multiply-accumulates */
+ acc0 = __SMLALD(x0, c0, acc0);
+ acc2 = __SMLALD(x2, c0, acc2);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x2, x0, 0);
+#else
+ x1 = __PKHBT(x0, x2, 0);
+#endif
+
+ /* Read last state variables */
+ x0 = read_q15x2 (px);
+
+ /* Perform the multiply-accumulates */
+ acc1 = __SMLALDX(x1, c0, acc1);
+
+ /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+ x1 = __PKHBT(x0, x2, 0);
+#else
+ x1 = __PKHBT(x2, x0, 0);
+#endif
+
+ /* Perform the multiply-accumulates */
+ acc3 = __SMLALDX(x1, c0, acc3);
+ }
+
+ /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation.
+ Then store the 4 outputs in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+ write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy two samples into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Use SIMD to hold states and coefficients */
+ px = pState;
+ pb = pCoeffs;
+
+ tapCnt = numTaps >> 1U;
+
+ while (tapCnt > 0U)
+ {
+ acc0 += (q31_t) *px++ * *pb++;
+ acc0 += (q31_t) *px++ * *pb++;
+
+ tapCnt--;
+ }
+
+
+ /* The result is in 2.30 format. Convert to 1.15 with saturation.
+ Then store the output in the destination buffer. */
+ *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c
new file mode 100644
index 00000000..40fe5270
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c
@@ -0,0 +1,1162 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_q31.c
+ * Description: Q31 FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for Q31 FIR filter.
+ @param[in] S points to an instance of the Q31 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+ After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+ @remark
+ Refer to \ref arm_fir_fast_q31() for a faster but less precise implementation of this filter.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+#define FIR_Q31_CORE(nbAcc, nbVecTaps, pSample, vecCoeffs) \
+ for (int j = 0; j < nbAcc; j++) { \
+ const q31_t *pSmp = &pSamples[j]; \
+ q31x4_t vecIn0; \
+ q63_t acc[4]; \
+ \
+ acc[j] = 0; \
+ for (int i = 0; i < nbVecTaps; i++) { \
+ vecIn0 = vld1q(pSmp + 4 * i); \
+ acc[j] = vrmlaldavhaq(acc[j], vecIn0, vecCoeffs[i]); \
+ } \
+ *pOutput++ = (q31_t)asrl(acc[j], 23); \
+ }
+
+
+#define FIR_Q31_CORE_STR_PARTIAL(nbAcc, nbVecTaps, pSample, vecCoeffs) \
+ for (int j = 0; j < nbAcc; j++) { \
+ const q31_t *pSmp = &pSamples[j]; \
+ q31x4_t vecIn0; \
+ \
+ acc[j] = 0; \
+ for (int i = 0; i < nbVecTaps; i++) { \
+ vecIn0 = vld1q(pSmp + 4 * i); \
+ acc[j] = vrmlaldavhaq(acc[j], vecIn0, vecCoeffs[i]); \
+ } \
+ *arm_fir_partial_accu_ptr++ = acc[j]; \
+ }
+
+
+#define FIR_Q31_CORE_LD_PARTIAL(nbAcc, nbVecTaps, pSample, vecCoeffs) \
+ for (int j = 0; j < nbAcc; j++) { \
+ const q31_t *pSmp = &pSamples[j]; \
+ q31x4_t vecIn0; \
+ \
+ acc[j] = *arm_fir_partial_accu_ptr++; \
+ \
+ for (int i = 0; i < nbVecTaps; i++) { \
+ vecIn0 = vld1q(pSmp + 4 * i); \
+ acc[j] = vrmlaldavhaq(acc[j], vecIn0, vecCoeffs[i]); \
+ } \
+ *pOutput++ = (q31_t)asrl(acc[j], 23); \
+ }
+
+
+#define FIR_Q31_MAIN_CORE() \
+{ \
+ q31_t *pRefStatePtr = S->pState + 2*ROUND_UP(blockSize, 4); \
+ q31_t *pState = pRefStatePtr; /* State pointer */ \
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ \
+ q31_t *pStateCur; /* Points to the current sample of the state */ \
+ const q31_t *pSamples; /* Temporary pointer to the sample buffer */ \
+ q31_t *pOutput; /* Temporary pointer to the output buffer */ \
+ const q31_t *pTempSrc; /* Temporary pointer to the source data */ \
+ q31_t *pTempDest; /* Temporary pointer to the destination buffer */\
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */\
+ int32_t blkCnt; \
+ \
+ /* \
+ * load coefs \
+ */ \
+ q31x4_t vecCoeffs[NBVECTAPS]; \
+ \
+ for (int i = 0; i < NBVECTAPS; i++) \
+ vecCoeffs[i] = vld1q(pCoeffs + 4 * i); \
+ \
+ /* \
+ * pState points to state array which contains previous frame (numTaps - 1) samples \
+ * pStateCur points to the location where the new input data should be written \
+ */ \
+ pStateCur = &(pState[(numTaps - 1u)]); \
+ pTempSrc = pSrc; \
+ pSamples = pState; \
+ pOutput = pDst; \
+ \
+ blkCnt = blockSize >> 2; \
+ while (blkCnt > 0) { \
+ /* \
+ * Save 4 input samples in the history buffer \
+ */ \
+ vstrwq_s32(pStateCur, vldrwq_s32(pTempSrc)); \
+ pStateCur += 4; \
+ pTempSrc += 4; \
+ \
+ FIR_Q31_CORE(4, NBVECTAPS, pSamples, vecCoeffs); \
+ \
+ pSamples += 4; \
+ /* \
+ * Decrement the sample block loop counter \
+ */ \
+ blkCnt--; \
+ } \
+ \
+ /* tail */ \
+ int32_t residual = blockSize & 3; \
+ switch (residual) { \
+ case 3: \
+ { \
+ for (int i = 0; i < residual; i++) \
+ *pStateCur++ = *pTempSrc++; \
+ \
+ FIR_Q31_CORE(3, NBVECTAPS, pSamples, vecCoeffs); \
+ } \
+ break; \
+ \
+ case 2: \
+ { \
+ for (int i = 0; i < residual; i++) \
+ *pStateCur++ = *pTempSrc++; \
+ \
+ FIR_Q31_CORE(2, NBVECTAPS, pSamples, vecCoeffs); \
+ } \
+ break; \
+ \
+ case 1: \
+ { \
+ for (int i = 0; i < residual; i++) \
+ *pStateCur++ = *pTempSrc++; \
+ \
+ FIR_Q31_CORE(1, NBVECTAPS, pSamples, vecCoeffs); \
+ } \
+ break; \
+ } \
+ \
+ /* \
+ * Copy the samples back into the history buffer start \
+ */ \
+ pTempSrc = &pState[blockSize]; \
+ pTempDest = pState; \
+ \
+ blkCnt =(numTaps - 1) >> 2; \
+ while (blkCnt > 0) \
+ { \
+ vstrwq_s32(pTempDest, vldrwq_s32(pTempSrc)); \
+ pTempSrc += 4; \
+ pTempDest += 4; \
+ blkCnt--; \
+ } \
+ blkCnt = (numTaps - 1) & 3; \
+ if (blkCnt > 0) \
+ { \
+ mve_pred16_t p0 = vctp32q(blkCnt); \
+ vstrwq_p_s32(pTempDest, vldrwq_z_s32(pTempSrc, p0), p0); \
+ } \
+}
+
+static void arm_fir_q31_1_4_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst, uint32_t blockSize)
+{
+ q31_t *pRefStatePtr = S->pState + 2*ROUND_UP(blockSize, 4);
+ q31_t *pState = pRefStatePtr; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ const q31_t *pSamples; /* Temporary pointer to the sample buffer */
+ q31_t *pOutput; /* Temporary pointer to the output buffer */
+ const q31_t *pTempSrc; /* Temporary pointer to the source data */
+ q31_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q31x4_t vecIn0;
+
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+ pOutput = pDst;
+
+ q63_t acc0=0, acc1=0, acc2=0, acc3=0;
+ /*
+ * load 4 coefs
+ */
+ q31x4_t vecCoeffs = *(q31x4_t *) pCoeffs;
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0U)
+ {
+ const q31_t *pSamplesTmp = pSamples;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ *pOutput++ = (q31_t) acc3;
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc;
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ acc2 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ }
+ break;
+
+ case 2:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ }
+ break;
+
+ case 1:
+ {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ vecIn0 = vld1q(pSamples);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs);
+
+ acc0 = asrl(acc0, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ }
+ break;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = (numTaps-1) >> 2;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+ blkCnt = (numTaps-1) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+
+
+static void arm_fir_q31_5_8_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 8
+ #define NBVECTAPS (NBTAPS / 4)
+ FIR_Q31_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+static void arm_fir_q31_9_12_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 12
+ #define NBVECTAPS (NBTAPS / 4)
+ FIR_Q31_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+static void arm_fir_q31_13_16_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 16
+ #define NBVECTAPS (NBTAPS / 4)
+ FIR_Q31_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+static void arm_fir_q31_17_20_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 20
+ #define NBVECTAPS (NBTAPS / 4)
+ FIR_Q31_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+static void arm_fir_q31_21_24_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 24
+ #define NBVECTAPS (NBTAPS / 4)
+ FIR_Q31_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+static void arm_fir_q31_25_28_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 28
+ #define NBVECTAPS (NBTAPS / 4)
+ FIR_Q31_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+static void arm_fir_q31_29_32_mve(const arm_fir_instance_q31 * S,
+ const q31_t * __restrict pSrc,
+ q31_t * __restrict pDst,
+ uint32_t blockSize)
+{
+ q31_t *pRefStatePtr = S->pState + 2*ROUND_UP(blockSize, 4);
+ q31_t *pState = pRefStatePtr; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ const q31_t *pSamples; /* Temporary pointer to the sample buffer */
+ q31_t *pOutput; /* Temporary pointer to the output buffer */
+ const q31_t *pTempSrc; /* Temporary pointer to the source data */
+ q31_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t blkCnt;
+ q63_t acc0, acc1, acc2, acc3;
+
+#define MAX_VECT_BATCH 7
+
+ /*
+ * pre-load 28 1st coefs
+ */
+ q31x4_t vecCoeffs0 = vld1q(pCoeffs + 4 * 0);
+ q31x4_t vecCoeffs1 = vld1q(pCoeffs + 4 * 1);
+ q31x4_t vecCoeffs2 = vld1q(pCoeffs + 4 * 2);
+ q31x4_t vecCoeffs3 = vld1q(pCoeffs + 4 * 3);
+ q31x4_t vecCoeffs4 = vld1q(pCoeffs + 4 * 4);
+ q31x4_t vecCoeffs5 = vld1q(pCoeffs + 4 * 5);
+ q31x4_t vecCoeffs6 = vld1q(pCoeffs + 4 * 6);
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pTempSrc = pSrc;
+ pSamples = pState;
+
+ q63_t *arm_fir_partial_accu_ptr = (q63_t*)S->pState;
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0) {
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vstrwq_s32(pStateCur, vldrwq_s32(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ const q31_t *pSmp;
+ q31x4_t vecIn0;
+
+ pSmp = &pSamples[0];
+
+ vecIn0 = vld1q(pSmp);
+ acc0 = vrmlaldavhq(vecIn0, vecCoeffs0);
+ vecIn0 = vld1q(pSmp + 4 * 1);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs1);
+ vecIn0 = vld1q(pSmp + 4 * 2);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs2);
+ vecIn0 = vld1q(pSmp + 4 * 3);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs3);
+ vecIn0 = vld1q(pSmp + 4 * 4);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs4);
+ vecIn0 = vld1q(pSmp + 4 * 5);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5);
+ vecIn0 = vld1q(pSmp + 4 * 6);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs6);
+
+ *arm_fir_partial_accu_ptr++ = acc0;
+
+ pSmp = &pSamples[1];
+
+ vecIn0 = vld1q(pSmp);
+ acc1 = vrmlaldavhq(vecIn0, vecCoeffs0);
+ vecIn0 = vld1q(pSmp + 4 * 1);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs1);
+ vecIn0 = vld1q(pSmp + 4 * 2);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs2);
+ vecIn0 = vld1q(pSmp + 4 * 3);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs3);
+ vecIn0 = vld1q(pSmp + 4 * 4);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs4);
+ vecIn0 = vld1q(pSmp + 4 * 5);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs5);
+ vecIn0 = vld1q(pSmp + 4 * 6);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs6);
+
+ *arm_fir_partial_accu_ptr++ = acc1;
+
+ pSmp = &pSamples[2];
+
+ vecIn0 = vld1q(pSmp);
+ acc2 = vrmlaldavhq(vecIn0, vecCoeffs0);
+ vecIn0 = vld1q(pSmp + 4 * 1);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs1);
+ vecIn0 = vld1q(pSmp + 4 * 2);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs2);
+ vecIn0 = vld1q(pSmp + 4 * 3);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs3);
+ vecIn0 = vld1q(pSmp + 4 * 4);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs4);
+ vecIn0 = vld1q(pSmp + 4 * 5);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs5);
+ vecIn0 = vld1q(pSmp + 4 * 6);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs6);
+ *arm_fir_partial_accu_ptr++ = acc2;
+
+ pSmp = &pSamples[3];
+
+ vecIn0 = vld1q(pSmp);
+ acc3 = vrmlaldavhq(vecIn0, vecCoeffs0);
+ vecIn0 = vld1q(pSmp + 4 * 1);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs1);
+ vecIn0 = vld1q(pSmp + 4 * 2);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs2);
+ vecIn0 = vld1q(pSmp + 4 * 3);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs3);
+ vecIn0 = vld1q(pSmp + 4 * 4);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs4);
+ vecIn0 = vld1q(pSmp + 4 * 5);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs5);
+ vecIn0 = vld1q(pSmp + 4 * 6);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs6);
+
+ *arm_fir_partial_accu_ptr++ = acc3;
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+
+ /* reminder */
+
+ /* load last 4 coef */
+ vecCoeffs0 = vld1q(pCoeffs + 4 * MAX_VECT_BATCH);
+ arm_fir_partial_accu_ptr = (q63_t*)S->pState;
+ pOutput = pDst;
+ pSamples = pState + (MAX_VECT_BATCH * 4);
+
+
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0) {
+ q31x4_t vecIn0;
+
+ /* reload intermediate MAC */
+ acc0 = *arm_fir_partial_accu_ptr++;
+ acc1 = *arm_fir_partial_accu_ptr++;
+ acc2 = *arm_fir_partial_accu_ptr++;
+ acc3 = *arm_fir_partial_accu_ptr++;
+
+
+ vecIn0 = vld1q(&pSamples[0]);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs0);
+
+ vecIn0 = vld1q(&pSamples[1]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs0);
+
+ vecIn0 = vld1q(&pSamples[2]);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs0);
+
+ vecIn0 = vld1q(&pSamples[3]);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs0);
+
+ *pOutput++ = asrl(acc0, 23);
+ *pOutput++ = asrl(acc1, 23);
+ *pOutput++ = asrl(acc2, 23);
+ *pOutput++ = asrl(acc3, 23);
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps - 1;
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vstrwq_p_s32(pTempDest, vldrwq_z_s32(pTempSrc, p), p);
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt -= 4;
+ }
+ while (blkCnt > 0);
+}
+
+
+
+void arm_fir_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pRefStatePtr = S->pState + 2*ROUND_UP(blockSize, 4);
+ q31_t *pState = pRefStatePtr; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCur; /* Points to the current sample of the state */
+ const q31_t *pSamples; /* Temporary pointer to the sample buffer */
+ q31_t *pOutput; /* Temporary pointer to the output buffer */
+ const q31_t *pTempSrc; /* Temporary pointer to the source data */
+ q31_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q31x4_t vecIn0;
+ uint32_t tapsBlkCnt = (numTaps + 3) / 4;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecCoeffs;
+
+
+ /*
+ * [1 to 32 taps] specialized routines
+ */
+ if (numTaps <= 4)
+ {
+ arm_fir_q31_1_4_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 8)
+ {
+ arm_fir_q31_5_8_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 12)
+ {
+ arm_fir_q31_9_12_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 16)
+ {
+ arm_fir_q31_13_16_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 20)
+ {
+ arm_fir_q31_17_20_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 24)
+ {
+ arm_fir_q31_21_24_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 28)
+ {
+ arm_fir_q31_25_28_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if ((numTaps <= 32) && (blockSize >= 32))
+ {
+ arm_fir_q31_29_32_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+ blkCnt = blockSize >> 2;
+ while (blkCnt > 0)
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ /*
+ * load 4 coefs
+ */
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+
+ /* .54-> .31 conversion and store accumulators */
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ *pOutput++ = (q31_t) acc3;
+
+ pSamples += 4;
+
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ int32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc;
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ i--;
+ }
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ *pOutput++ = (q31_t) acc2;
+ }
+ break;
+
+ case 2:
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ i--;
+ }
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ *pOutput++ = (q31_t) acc1;
+ }
+ break;
+
+ case 1:
+ {
+ const q31_t *pCoeffsTmp = pCoeffs;
+ const q31_t *pSamplesTmp = pSamples;
+
+ acc0 = 0LL;
+
+ /*
+ * Save 4 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 4;
+ pTempSrc += 4;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ vecCoeffs = *(q31x4_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 4;
+ pCoeffsTmp += 4;
+ i--;
+ }
+
+ acc0 = asrl(acc0, 23);
+
+ *pOutput++ = (q31_t) acc0;
+ }
+ break;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = (numTaps - 1U) >> 2;
+ while (blkCnt > 0)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 4;
+ pTempDest += 4;
+ blkCnt--;
+ }
+ blkCnt = (numTaps - 1U) & 3;
+ if (blkCnt > 0)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+
+#else
+void arm_fir_q31(
+ const arm_fir_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px; /* Temporary pointer for state buffer */
+ const q31_t *pb; /* Temporary pointer for coefficient buffer */
+ q63_t acc0; /* Accumulator */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q63_t acc1, acc2; /* Accumulators */
+ q31_t x0, x1, x2; /* Temporary variables to hold state values */
+ q31_t c0; /* Temporary variable to hold coefficient value */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+
+ blkCnt = blockSize / 3;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 3 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the first 2 samples from the state buffer: x[n-numTaps], x[n-numTaps-1] */
+ x0 = *px++;
+ x1 = *px++;
+
+ /* Loop unrolling: process 3 taps at a time. */
+ tapCnt = numTaps / 3;
+
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps] coefficient */
+ c0 = *pb;
+
+ /* Read x[n-numTaps-2] sample */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x0 * c0);
+ acc1 += ((q63_t) x1 * c0);
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Read the coefficient and state */
+ c0 = *(pb + 1U);
+ x0 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x1 * c0);
+ acc1 += ((q63_t) x2 * c0);
+ acc2 += ((q63_t) x0 * c0);
+
+ /* Read the coefficient and state */
+ c0 = *(pb + 2U);
+ x1 = *(px++);
+
+ /* update coefficient pointer */
+ pb += 3U;
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x2 * c0);
+ acc1 += ((q63_t) x0 * c0);
+ acc2 += ((q63_t) x1 * c0);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ tapCnt = numTaps % 0x3U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x2 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q63_t) x0 * c0);
+ acc1 += ((q63_t) x1 * c0);
+ acc2 += ((q63_t) x2 * c0);
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Advance the state pointer by 3 to process the next group of 3 samples */
+ pState = pState + 3;
+
+ /* The result is in 2.30 format. Convert to 1.31 and store in destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31U);
+ *pDst++ = (q31_t) (acc1 >> 31U);
+ *pDst++ = (q31_t) (acc2 >> 31U);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x3U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ do
+ {
+ /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+ acc0 += (q63_t) *px++ * *pb++;
+
+ i--;
+ } while (i > 0U);
+
+ /* Result is in 2.62 format. Convert to 1.31 and store in destination buffer. */
+ *pDst++ = (q31_t) (acc0 >> 31U);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c
new file mode 100644
index 00000000..c05fa321
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c
@@ -0,0 +1,714 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_q7.c
+ * Description: Q7 FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR
+ @{
+ */
+
+/**
+ @brief Processing function for Q7 FIR filter.
+ @param[in] S points to an instance of the Q7 FIR filter structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ The accumulator is converted to 18.7 format by discarding the low 7 bits.
+ Finally, the result is truncated to 1.7 format.
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define FIR_Q7_CORE(pOutput, nbAcc, nbVecTaps, pSample, vecCoeffs) \
+ for (int j = 0; j < nbAcc; j++) { \
+ const q7_t *pSmp = &pSample[j]; \
+ q31_t acc[4]; \
+ \
+ acc[j] = 0; \
+ for (int i = 0; i < nbVecTaps; i++) { \
+ vecIn0 = vld1q(pSmp + 16 * i); \
+ acc[j] = vmladavaq(acc[j], vecIn0, vecCoeffs[i]); \
+ } \
+ *pOutput++ = (q7_t) __SSAT((acc[j] >> 7U), 8); \
+ }
+
+#define FIR_Q7_MAIN_CORE() \
+{ \
+ q7_t *pState = S->pState; /* State pointer */ \
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ \
+ q7_t *pStateCur; /* Points to the current sample of the state */ \
+ const q7_t *pSamples; /* Temporary pointer to the sample buffer */ \
+ q7_t *pOutput; /* Temporary pointer to the output buffer */ \
+ const q7_t *pTempSrc; /* Temporary pointer to the source data */ \
+ q7_t *pTempDest; /* Temporary pointer to the destination buffer */\
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */\
+ int32_t blkCnt; \
+ q7x16_t vecIn0; \
+ \
+ /* \
+ * load coefs \
+ */ \
+ q7x16_t vecCoeffs[NBVECTAPS]; \
+ \
+ for (int i = 0; i < NBVECTAPS; i++) \
+ vecCoeffs[i] = vldrbq_s8(pCoeffs + 16 * i); \
+ \
+ /* \
+ * pState points to state array which contains previous frame (numTaps - 1) samples \
+ * pStateCur points to the location where the new input data should be written \
+ */ \
+ pStateCur = &(pState[(numTaps - 1u)]); \
+ pTempSrc = pSrc; \
+ pSamples = pState; \
+ pOutput = pDst; \
+ \
+ blkCnt = blockSize >> 2; \
+ while (blkCnt > 0) { \
+ /* \
+ * Save 4 input samples in the history buffer \
+ */ \
+ vstrbq_s32(pStateCur, vldrbq_s32(pTempSrc)); \
+ pStateCur += 4; \
+ pTempSrc += 4; \
+ \
+ FIR_Q7_CORE(pOutput, 4, NBVECTAPS, pSamples, vecCoeffs); \
+ pSamples += 4; \
+ \
+ blkCnt--; \
+ } \
+ \
+ /* tail */ \
+ int32_t residual = blockSize & 3; \
+ \
+ for (int i = 0; i < residual; i++) \
+ *pStateCur++ = *pTempSrc++; \
+ \
+ FIR_Q7_CORE(pOutput, residual, NBVECTAPS, pSamples, vecCoeffs); \
+ \
+ \
+ /* \
+ * Copy the samples back into the history buffer start \
+ */ \
+ pTempSrc = &pState[blockSize]; \
+ pTempDest = pState; \
+ blkCnt = numTaps - 1; \
+ do { \
+ mve_pred16_t p = vctp8q(blkCnt); \
+ \
+ vstrbq_p_s8(pTempDest, vldrbq_z_s8(pTempSrc, p), p); \
+ pTempSrc += 16; \
+ pTempDest += 16; \
+ blkCnt -= 16; \
+ } \
+ while (blkCnt > 0); \
+}
+
+
+static void arm_fir_q7_49_64_mve(const arm_fir_instance_q7 * S,
+ const q7_t * __restrict pSrc,
+ q7_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 64
+ #define NBVECTAPS (NBTAPS / 16)
+ FIR_Q7_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+void arm_fir_q7_33_48_mve(const arm_fir_instance_q7 * S,
+ const q7_t * __restrict pSrc,
+ q7_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 48
+ #define NBVECTAPS (NBTAPS / 16)
+ FIR_Q7_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+static void arm_fir_q7_17_32_mve(const arm_fir_instance_q7 * S,
+ const q7_t * __restrict pSrc,
+ q7_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 32
+ #define NBVECTAPS (NBTAPS / 16)
+ FIR_Q7_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+
+void arm_fir_q7_1_16_mve(const arm_fir_instance_q7 * S,
+ const q7_t * __restrict pSrc,
+ q7_t * __restrict pDst, uint32_t blockSize)
+{
+ #define NBTAPS 16
+ #define NBVECTAPS (NBTAPS / 16)
+ FIR_Q7_MAIN_CORE();
+ #undef NBVECTAPS
+ #undef NBTAPS
+}
+
+void arm_fir_q7(
+ const arm_fir_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ q7_t *pState = S->pState; /* State pointer */
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q7_t *pStateCur; /* Points to the current sample of the state */
+ const q7_t *pSamples; /* Temporary pointer to the sample buffer */
+ q7_t *pOutput; /* Temporary pointer to the output buffer */
+ const q7_t *pTempSrc; /* Temporary pointer to the source data */
+ q7_t *pTempDest; /* Temporary pointer to the destination buffer */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t blkCnt;
+ q7x16_t vecIn0;
+ uint32_t tapsBlkCnt = (numTaps + 15) / 16;
+ q31_t acc0, acc1, acc2, acc3;
+ q7x16_t vecCoeffs;
+
+ if (numTaps <= 16)
+ {
+ /*
+ * [1 to 16 taps] specialized routine
+ */
+ arm_fir_q7_1_16_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 32)
+ {
+ /*
+ * [17 to 32 taps] specialized routine
+ */
+ arm_fir_q7_17_32_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 48)
+ {
+ /*
+ * [33 to 48 taps] specialized routine
+ */
+ arm_fir_q7_33_48_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+ else if (numTaps <= 64)
+ {
+ /*
+ * [49 to 64 taps] specialized routine
+ */
+ arm_fir_q7_49_64_mve(S, pSrc, pDst, blockSize);
+ return;
+ }
+
+ /*
+ * pState points to state array which contains previous frame (numTaps - 1) samples
+ * pStateCur points to the location where the new input data should be written
+ */
+ pStateCur = &(pState[(numTaps - 1u)]);
+ pSamples = pState;
+ pTempSrc = pSrc;
+ pOutput = pDst;
+ blkCnt = blockSize >> 2;
+
+ /*
+ * outer samples loop
+ */
+ while (blkCnt > 0U)
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ /*
+ * inner coefficients loop
+ */
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ /*
+ * load 16 coefs
+ */
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[1]);
+ acc1 = vmladavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[2]);
+ acc2 = vmladavaq(acc2, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[3]);
+ acc3 = vmladavaq(acc3, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ /*
+ * Decrement the taps block loop counter
+ */
+ i--;
+ }
+ /*
+ * Store the 1.7 format filter output in destination buffer
+ */
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc3 >> 7U), 8);
+
+ pSamples += 4;
+ /*
+ * Decrement the sample block loop counter
+ */
+ blkCnt--;
+ }
+
+ uint32_t residual = blockSize & 3;
+ switch (residual)
+ {
+ case 3:
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[4]);
+ acc1 = vmladavaq(acc1, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[8]);
+ acc2 = vmladavaq(acc2, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ i--;
+ }
+
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8);
+ }
+ break;
+
+ case 2:
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ acc1 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ vecIn0 = vld1q(&pSamplesTmp[4]);
+ acc1 = vmladavaq(acc1, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ i--;
+ }
+
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8);
+ }
+ break;
+
+ case 1:
+ {
+ const q7_t *pCoeffsTmp = pCoeffs;
+ const q7_t *pSamplesTmp = pSamples;
+
+ acc0 = 0;
+ /*
+ * Save 16 input samples in the history buffer
+ */
+ vst1q(pStateCur, vld1q(pTempSrc));
+ pStateCur += 16;
+ pTempSrc += 16;
+
+ int i = tapsBlkCnt;
+ while (i > 0)
+ {
+ vecCoeffs = *(q7x16_t *) pCoeffsTmp;
+
+ vecIn0 = vld1q(pSamplesTmp);
+ acc0 = vmladavaq(acc0, vecIn0, vecCoeffs);
+
+ pSamplesTmp += 16;
+ pCoeffsTmp += 16;
+ i--;
+ }
+ *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8);
+ }
+ break;
+ }
+
+ /*
+ * Copy the samples back into the history buffer start
+ */
+ pTempSrc = &pState[blockSize];
+ pTempDest = pState;
+
+ blkCnt = numTaps >> 4;
+ while (blkCnt > 0U)
+ {
+ vst1q(pTempDest, vld1q(pTempSrc));
+ pTempSrc += 16;
+ pTempDest += 16;
+ blkCnt--;
+ }
+ blkCnt = numTaps & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vstrbq_p_s8(pTempDest, vld1q(pTempSrc), p0);
+ }
+}
+#else
+void arm_fir_q7(
+ const arm_fir_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize)
+{
+ q7_t *pState = S->pState; /* State pointer */
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q7_t *pStateCurnt; /* Points to the current sample of the state */
+ q7_t *px; /* Temporary pointer for state buffer */
+ const q7_t *pb; /* Temporary pointer for coefficient buffer */
+ q31_t acc0; /* Accumulators */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t i, tapCnt, blkCnt; /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t acc1, acc2, acc3; /* Accumulators */
+ q7_t x0, x1, x2, x3, c0; /* Temporary variables to hold state */
+#endif
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 output values simultaneously.
+ * The variables acc0 ... acc3 hold output values that are being computed:
+ *
+ * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+ * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+ * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+ * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3]
+ */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy 4 new input samples into the state buffer. */
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set all accumulators to zero */
+ acc0 = 0;
+ acc1 = 0;
+ acc2 = 0;
+ acc3 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the first 3 samples from the state buffer:
+ * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+ x0 = *px++;
+ x1 = *px++;
+ x2 = *px++;
+
+ /* Loop unrolling. Process 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Loop over the number of taps. Unroll by a factor of 4.
+ Repeat until we've computed numTaps-4 coefficients. */
+ while (tapCnt > 0U)
+ {
+ /* Read the b[numTaps] coefficient */
+ c0 = *pb;
+
+ /* Read x[n-numTaps-3] sample */
+ x3 = *px;
+
+ /* acc0 += b[numTaps] * x[n-numTaps] */
+ acc0 += ((q15_t) x0 * c0);
+
+ /* acc1 += b[numTaps] * x[n-numTaps-1] */
+ acc1 += ((q15_t) x1 * c0);
+
+ /* acc2 += b[numTaps] * x[n-numTaps-2] */
+ acc2 += ((q15_t) x2 * c0);
+
+ /* acc3 += b[numTaps] * x[n-numTaps-3] */
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Read the b[numTaps-1] coefficient */
+ c0 = *(pb + 1U);
+
+ /* Read x[n-numTaps-4] sample */
+ x0 = *(px + 1U);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x1 * c0);
+ acc1 += ((q15_t) x2 * c0);
+ acc2 += ((q15_t) x3 * c0);
+ acc3 += ((q15_t) x0 * c0);
+
+ /* Read the b[numTaps-2] coefficient */
+ c0 = *(pb + 2U);
+
+ /* Read x[n-numTaps-5] sample */
+ x1 = *(px + 2U);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x2 * c0);
+ acc1 += ((q15_t) x3 * c0);
+ acc2 += ((q15_t) x0 * c0);
+ acc3 += ((q15_t) x1 * c0);
+
+ /* Read the b[numTaps-3] coefficients */
+ c0 = *(pb + 3U);
+
+ /* Read x[n-numTaps-6] sample */
+ x2 = *(px + 3U);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x3 * c0);
+ acc1 += ((q15_t) x0 * c0);
+ acc2 += ((q15_t) x1 * c0);
+ acc3 += ((q15_t) x2 * c0);
+
+ /* update coefficient pointer */
+ pb += 4U;
+ px += 4U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read coefficients */
+ c0 = *(pb++);
+
+ /* Fetch 1 state variable */
+ x3 = *(px++);
+
+ /* Perform the multiply-accumulates */
+ acc0 += ((q15_t) x0 * c0);
+ acc1 += ((q15_t) x1 * c0);
+ acc2 += ((q15_t) x2 * c0);
+ acc3 += ((q15_t) x3 * c0);
+
+ /* Reuse the present sample states for next sample */
+ x0 = x1;
+ x1 = x2;
+ x2 = x3;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* The results in the 4 accumulators are in 2.62 format. Convert to 1.31
+ Then store the 4 outputs in the destination buffer. */
+ acc0 = __SSAT((acc0 >> 7U), 8);
+ *pDst++ = acc0;
+ acc1 = __SSAT((acc1 >> 7U), 8);
+ *pDst++ = acc1;
+ acc2 = __SSAT((acc2 >> 7U), 8);
+ *pDst++ = acc2;
+ acc3 = __SSAT((acc3 >> 7U), 8);
+ *pDst++ = acc3;
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 4U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining output samples */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of taps */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Copy one sample at a time into state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Set the accumulator to zero */
+ acc0 = 0;
+
+ /* Initialize state pointer */
+ px = pState;
+
+ /* Initialize Coefficient pointer */
+ pb = pCoeffs;
+
+ i = numTaps;
+
+ /* Perform the multiply-accumulates */
+ while (i > 0U)
+ {
+ acc0 += (q15_t) * (px++) * (*(pb++));
+ i--;
+ }
+
+ /* The result is in 2.14 format. Convert to 1.7
+ Then store the output in the destination buffer. */
+ *pDst++ = __SSAT((acc0 >> 7U), 8);
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the state buffer */
+ pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of taps */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ /* Copy remaining data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of FIR group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c
new file mode 100644
index 00000000..e6f4d78c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_f32.c
+ * Description: Floating-point sparse FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters
+
+ This group of functions implements sparse FIR filters.
+ Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero.
+ Sparse filters are used for simulating reflections in communications and audio applications.
+
+ There are separate functions for Q7, Q15, Q31, and floating-point data types.
+ The functions operate on blocks of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst points to input and output arrays respectively containing blockSize values.
+
+ @par Algorithm
+ The sparse filter instant structure contains an array of tap indices pTapDelay which specifies the locations of the non-zero coefficients.
+ This is in addition to the coefficient array b.
+ The implementation essentially skips the multiplications by zero and leads to an efficient realization.
+ + y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]] ++ @par + \image html FIRSparse.gif "Sparse FIR filter. b[n] represents the filter coefficients" + @par +
pCoeffs points to a coefficient array of size numTaps;
+ pTapDelay points to an array of nonzero indices and is also of size numTaps;
+ pState points to a state array of size maxDelay + blockSize, where
+ maxDelay is the largest offset value that is ever used in the pTapDelay array.
+ Some of the processing functions also require temporary working buffers.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 4 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 4 different data type filter instance structures
+
+ arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ arm_fir_sparse_instance_q7 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the sparse FIR filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point sparse FIR filter.
+ @param[in] S points to an instance of the floating-point sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process
+ @return none
+ */
+
+void arm_fir_sparse_f32(
+ arm_fir_sparse_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ float32_t * pScratchIn,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *px; /* Scratch buffer pointer */
+ float32_t *py = pState; /* Temporary pointers for state buffer */
+ float32_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ float32_t *pOut; /* Destination pointer */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ float32_t coeff = *pCoeffs++; /* Read the first coefficient value */
+
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, (int32_t *) pSrc, 1, blockSize);
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplications and store in destination buffer */
+ *pOut++ = *px++ * coeff;
+
+ *pOut++ = *px++ * coeff;
+
+ *pOut++ = *px++ * coeff;
+
+ *pOut++ = *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in destination buffer */
+ *pOut++ = *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+
+ *pOut++ += *px++ * coeff;
+
+ *pOut++ += *px++ * coeff;
+
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement tap loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+ *pOut++ += *px++ * coeff;
+ *pOut++ += *px++ * coeff;
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pOut++ += *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
new file mode 100644
index 00000000..dce0d6f7
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_f32.c
+ * Description: Floating-point sparse FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point sparse FIR filter.
+ @param[in,out] S points to an instance of the floating-point sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the
+ number of samples processed by the arm_fir_sparse_f32() function.
+ */
+
+void arm_fir_sparse_init_f32(
+ arm_fir_sparse_instance_f32 * S,
+ uint16_t numTaps,
+ const float32_t * pCoeffs,
+ float32_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
new file mode 100644
index 00000000..6a48743e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_q15.c
+ * Description: Q15 sparse FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 sparse FIR filter.
+ @param[in,out] S points to an instance of the Q15 sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the
+ number of words processed by arm_fir_sparse_q15() function.
+ */
+
+void arm_fir_sparse_init_q15(
+ arm_fir_sparse_instance_q15 * S,
+ uint16_t numTaps,
+ const q15_t * pCoeffs,
+ q15_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
new file mode 100644
index 00000000..a333f1cc
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_q31.c
+ * Description: Q31 sparse FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 sparse FIR filter.
+ @param[in,out] S points to an instance of the Q31 sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the number of words processed by arm_fir_sparse_q31() function.
+ */
+
+void arm_fir_sparse_init_q31(
+ arm_fir_sparse_instance_q31 * S,
+ uint16_t numTaps,
+ const q31_t * pCoeffs,
+ q31_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
new file mode 100644
index 00000000..3e2b9c9a
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_init_q7.c
+ * Description: Q7 sparse FIR filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q7 sparse FIR filter.
+ @param[in,out] S points to an instance of the Q7 sparse FIR structure
+ @param[in] numTaps number of nonzero coefficients in the filter
+ @param[in] pCoeffs points to the array of filter coefficients
+ @param[in] pState points to the state buffer
+ @param[in] pTapDelay points to the array of offset times
+ @param[in] maxDelay maximum offset time supported
+ @param[in] blockSize number of samples that will be processed per block
+ @return none
+
+ @par Details
+ pCoeffs holds the filter coefficients and has length numTaps.
+ pState holds the filter's state variables and must be of length
+ maxDelay + blockSize, where maxDelay
+ is the maximum number of delay line values.
+ blockSize is the
+ number of samples processed by the arm_fir_sparse_q7() function.
+ */
+
+void arm_fir_sparse_init_q7(
+ arm_fir_sparse_instance_q7 * S,
+ uint16_t numTaps,
+ const q7_t * pCoeffs,
+ q7_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Assign TapDelay pointer */
+ S->pTapDelay = pTapDelay;
+
+ /* Assign MaxDelay */
+ S->maxDelay = maxDelay;
+
+ /* reset the stateIndex to 0 */
+ S->stateIndex = 0U;
+
+ /* Clear state buffer and size is always maxDelay + blockSize */
+ memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c
new file mode 100644
index 00000000..60669225
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_q15.c
+ * Description: Q15 sparse FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 sparse FIR filter.
+ @param[in] S points to an instance of the Q15 sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] pScratchOut points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process per call
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator.
+ Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator.
+ If the accumulator result overflows it will wrap around rather than saturate.
+ After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format.
+ In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.
+ */
+
+void arm_fir_sparse_q15(
+ arm_fir_sparse_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ q15_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *px; /* Temporary pointers for scratch buffer */
+ q15_t *py = pState; /* Temporary pointers for state buffer */
+ q15_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ q15_t *pOut = pDst; /* Working pointer for output */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */
+ q15_t coeff = *pCoeffs++; /* Read the first coefficient value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t in1, in2; /* Temporary variables */
+#endif
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_q15(py, (int32_t) delaySize, &S->stateIndex, 1,pSrc, 1, blockSize);
+
+ /* Loop over the number of taps. */
+ tapCnt = numTaps;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ *pScratchOut++ += (q31_t) *px++ * coeff;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* All the output values are in pScratchOut buffer.
+ Convert them into 1.15 format, saturate and store in the destination buffer. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ in1 = *pScr2++;
+ in2 = *pScr2++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ in1 = *pScr2++;
+ in2 = *pScr2++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16));
+#else
+ write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c
new file mode 100644
index 00000000..33c66df4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c
@@ -0,0 +1,357 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_q31.c
+ * Description: Q31 sparse FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 sparse FIR filter.
+ @param[in] S points to an instance of the Q31 sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 32-bit accumulator.
+ The 1.31 x 1.31 multiplications are truncated to 2.30 format.
+ This leads to loss of precision on the intermediate multiplications and provides only a single guard bit.
+ If the accumulator result overflows, it wraps around rather than saturate.
+ In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.
+ */
+
+void arm_fir_sparse_q31(
+ arm_fir_sparse_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ q31_t * pScratchIn,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *px; /* Scratch buffer pointer */
+ q31_t *py = pState; /* Temporary pointers for state buffer */
+ q31_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ q31_t *pOut; /* Destination pointer */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ q31_t coeff = *pCoeffs++; /* Read the first coefficient value */
+ q31_t in;
+ q63_t out; /* Temporary output variable */
+
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
+ (int32_t *) pSrc, 1, blockSize);
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplications and store in destination buffer */
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in destination buffer */
+ *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement tap loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+ (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ out = *pOut;
+ out += ((q63_t) * px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ out = *pOut;
+ out += ((q63_t) *px++ * coeff) >> 32;
+ *pOut++ = (q31_t) (out);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Working output pointer is updated */
+ pOut = pDst;
+
+ /* Output is converted into 1.31 format. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ in = *pOut << 1;
+ *pOut++ = in;
+ in = *pOut << 1;
+ *pOut++ = in;
+ in = *pOut << 1;
+ *pOut++ = in;
+ in = *pOut << 1;
+ *pOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ in = *pOut << 1;
+ *pOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c
new file mode 100644
index 00000000..e47d889c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_fir_sparse_q7.c
+ * Description: Q7 sparse FIR filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup FIR_Sparse
+ @{
+ */
+
+/**
+ @brief Processing function for the Q7 sparse FIR filter.
+ @param[in] S points to an instance of the Q7 sparse FIR structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] pScratchIn points to a temporary buffer of size blockSize
+ @param[in] pScratchOut points to a temporary buffer of size blockSize
+ @param[in] blockSize number of input samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 32-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.
+ The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ The accumulator is then converted to 18.7 format by discarding the low 7 bits.
+ Finally, the result is truncated to 1.7 format.
+ */
+
+void arm_fir_sparse_q7(
+ arm_fir_sparse_instance_q7 * S,
+ const q7_t * pSrc,
+ q7_t * pDst,
+ q7_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize)
+{
+ q7_t *pState = S->pState; /* State pointer */
+ const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q7_t *px; /* Scratch buffer pointer */
+ q7_t *py = pState; /* Temporary pointers for state buffer */
+ q7_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */
+ q7_t *pOut = pDst; /* Destination pointer */
+ int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */
+ uint32_t delaySize = S->maxDelay + blockSize; /* state length */
+ uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ int32_t readIndex; /* Read index of the state buffer */
+ uint32_t tapCnt, blkCnt; /* loop counters */
+ q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */
+ q31_t in;
+ q7_t coeff = *pCoeffs++; /* Read the coefficient value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q7_t in1, in2, in3, in4;
+#endif
+
+ /* BlockSize of Input samples are copied into the state buffer */
+ /* StateIndex points to the starting position to write in the state buffer */
+ arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, blockSize);
+
+ /* Loop over the number of taps. */
+ tapCnt = numTaps;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiplication and store in the scratch buffer */
+ *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Loop over the number of taps. */
+ tapCnt = (uint32_t) numTaps - 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) * px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Load the coefficient value and
+ * increment the coefficient buffer for the next set of state values */
+ coeff = *pCoeffs++;
+
+ /* Read Index, from where the state buffer should be read, is calculated. */
+ readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+ /* Wraparound of readIndex */
+ if (readIndex < 0)
+ {
+ readIndex += (int32_t) delaySize;
+ }
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Compute last tap without the final read of pTapDelay */
+
+ /* Working pointer for state buffer is updated */
+ py = pState;
+
+ /* blockSize samples are read from the state buffer */
+ arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+ pb, pb, (int32_t) blockSize, 1, blockSize);
+
+ /* Working pointer for the scratch buffer of state values */
+ px = pb;
+
+ /* Working pointer for scratch buffer of output values */
+ pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Perform Multiply-Accumulate */
+ in = *pScratchOut + ((q31_t) *px++ * coeff);
+ *pScratchOut++ = in;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* All the output values are in pScratchOut buffer.
+ Convert them into 1.15 format, saturate and store in the destination buffer. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time. */
+ blkCnt = blockSize >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+ in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+ in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+ in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+ write_q7x4_ia (&pOut, __PACKq7(in1, in2, in3, in4));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = blockSize % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+}
+
+/**
+ @} end of FIR_Sparse group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c
new file mode 100644
index 00000000..bf0b178c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c
@@ -0,0 +1,354 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_f32.c
+ * Description: Floating-point IIR Lattice filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters
+
+ This set of functions implements lattice filters
+ for Q15, Q31 and floating-point data types. Lattice filters are used in a
+ variety of adaptive filter applications. The filter structure has feedforward and
+ feedback components and the net impulse response is infinite length.
+ The functions operate on blocks
+ of input and output data and each call to the function processes
+ blockSize samples through the filter. pSrc and
+ pDst point to input and output arrays containing blockSize values.
+
+ @par Algorithm
+ \image html IIRLattice.gif "Infinite Impulse Response Lattice filter"
+ @par
+ + fN(n) = x(n) + fm-1(n) = fm(n) - km * gm-1(n-1) for m = N, N-1, ..., 1 + gm(n) = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ..., 1 + y(n) = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n) ++ @par +
pkCoeffs points to array of reflection coefficients of size numStages.
+ Reflection Coefficients are stored in time-reversed order.
+ @par
+
+ {kN, kN-1, ..., k1}
+
+ @par
+ pvCoeffs points to the array of ladder coefficients of size (numStages+1).
+ Ladder coefficients are stored in time-reversed order.
+
+ {vN, vN-1, ..., v0}
+
+ @par
+ pState points to a state array of size numStages + blockSize.
+ The state variables shown in the figure above (the g values) are stored in the pState array.
+ The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter.
+ Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero.
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:
+
+ arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};
+ arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};
+ arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};
+
+ @par
+ where numStages is the number of stages in the filter; pState points to the state buffer array;
+ pkCoeffs points to array of the reflection coefficients; pvCoeffs points to the array of ladder coefficients.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the fixed-point versions of the IIR lattice filter functions.
+ In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the floating-point IIR lattice filter.
+ @param[in] S points to an instance of the floating-point IIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_f32(
+ const arm_iir_lattice_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pStateCur; /* State current pointer */
+ float32_t acc; /* Accumlator */
+ float32_t fnext1, fnext2, gcurr1, gnext; /* Temporary variables for lattice stages */
+ float32_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */
+ uint32_t numStages = S->numStages; /* Number of stages */
+ uint32_t blkCnt, tapCnt; /* Temporary variables for counts */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t gcurr2; /* Temporary variables for lattice stages */
+ float32_t k1, k2;
+ float32_t v1, v2, v3, v4;
+#endif
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fnext2 = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0.0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numStages) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Read gN-1(n-1) from state buffer */
+ gcurr1 = *px1;
+
+ /* read reflection coefficient kN */
+ k1 = *pk;
+
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext1 = fnext2 - (k1 * gcurr1);
+
+ /* read ladder coefficient vN */
+ v1 = *pv;
+
+ /* read next reflection coefficient kN-1 */
+ k2 = *(pk + 1U);
+
+ /* Read gN-2(n-1) from state buffer */
+ gcurr2 = *(px1 + 1U);
+
+ /* read next ladder coefficient vN-1 */
+ v2 = *(pv + 1U);
+
+ /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+ fnext2 = fnext1 - (k2 * gcurr2);
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = gcurr1 + (k1 * fnext1);
+
+ /* read reflection coefficient kN-2 */
+ k1 = *(pk + 2U);
+
+ /* write gN(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Read gN-3(n-1) from state buffer */
+ gcurr1 = *(px1 + 2U);
+
+ /* y(n) += gN(n) * vN */
+ acc += (gnext * v1);
+
+ /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+ fnext1 = fnext2 - (k1 * gcurr1);
+
+ /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+ gnext = gcurr2 + (k2 * fnext2);
+
+ /* Read gN-4(n-1) from state buffer */
+ gcurr2 = *(px1 + 3U);
+
+ /* y(n) += gN-1(n) * vN-1 */
+ acc += (gnext * v2);
+
+ /* read reflection coefficient kN-3 */
+ k2 = *(pk + 3U);
+
+ /* write gN-1(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+ fnext2 = fnext1 - (k2 * gcurr2);
+
+ /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+ gnext = gcurr1 + (k1 * fnext1);
+
+ /* read ladder coefficient vN-2 */
+ v3 = *(pv + 2U);
+
+ /* y(n) += gN-2(n) * vN-2 */
+ acc += (gnext * v3);
+
+ /* write gN-2(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* update pointer */
+ pk += 4U;
+
+ /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+ gnext = (fnext2 * k2) + gcurr2;
+
+ /* read next ladder coefficient vN-3 */
+ v4 = *(pv + 3U);
+
+ /* y(n) += gN-4(n) * vN-4 */
+ acc += (gnext * v4);
+
+ /* write gN-3(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* update pointers */
+ px1 += 4U;
+ pv += 4U;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numStages;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ gcurr1 = *px1++;
+ /* Process sample for last taps */
+ fnext1 = fnext2 - ((*pk) * gcurr1);
+ gnext = (fnext1 * (*pk++)) + gcurr1;
+ /* Output samples for last taps */
+ acc += (gnext * (*pv++));
+ *px2++ = gnext;
+ fnext2 = fnext1;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += (fnext2 * (*pv));
+
+ *px2++ = fnext2;
+
+ /* write out into pDst */
+ *pDst++ = acc;
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ /* Copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numStages >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = numStages;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
new file mode 100644
index 00000000..389e1ea8
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_init_f32.c
+ * Description: Floating-point IIR lattice filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the floating-point IIR lattice filter.
+ @param[in] S points to an instance of the floating-point IIR lattice structure
+ @param[in] numStages number of stages in the filter
+ @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages
+ @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1
+ @param[in] pState points to state buffer. The array is of length numStages+blockSize
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_init_f32(
+ arm_iir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ float32_t * pkCoeffs,
+ float32_t * pvCoeffs,
+ float32_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign reflection coefficient pointer */
+ S->pkCoeffs = pkCoeffs;
+
+ /* Assign ladder coefficient pointer */
+ S->pvCoeffs = pvCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numStages */
+ memset(pState, 0, (numStages + blockSize) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
new file mode 100644
index 00000000..873c342a
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_init_q15.c
+ * Description: Q15 IIR lattice filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 IIR lattice filter.
+ @param[in] S points to an instance of the Q15 IIR lattice structure
+ @param[in] numStages number of stages in the filter
+ @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages
+ @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1
+ @param[in] pState points to state buffer. The array is of length numStages+blockSize
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_init_q15(
+ arm_iir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ q15_t * pkCoeffs,
+ q15_t * pvCoeffs,
+ q15_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign reflection coefficient pointer */
+ S->pkCoeffs = pkCoeffs;
+
+ /* Assign ladder coefficient pointer */
+ S->pvCoeffs = pvCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numStages */
+ memset(pState, 0, (numStages + blockSize) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
new file mode 100644
index 00000000..59b26d3c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_init_q31.c
+ * Description: Initialization function for the Q31 IIR lattice filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q31 IIR lattice filter.
+ @param[in] S points to an instance of the Q31 IIR lattice structure
+ @param[in] numStages number of stages in the filter
+ @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages
+ @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1
+ @param[in] pState points to state buffer. The array is of length numStages+blockSize
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+void arm_iir_lattice_init_q31(
+ arm_iir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ q31_t * pkCoeffs,
+ q31_t * pvCoeffs,
+ q31_t * pState,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numStages = numStages;
+
+ /* Assign reflection coefficient pointer */
+ S->pkCoeffs = pkCoeffs;
+
+ /* Assign ladder coefficient pointer */
+ S->pvCoeffs = pvCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numStages */
+ memset(pState, 0, (numStages + blockSize) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c
new file mode 100644
index 00000000..d3cf7f66
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c
@@ -0,0 +1,396 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_q15.c
+ * Description: Q15 IIR Lattice filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the Q15 IIR lattice filter.
+ @param[in] S points to an instance of the Q15 IIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+
+void arm_iir_lattice_q15(
+ const arm_iir_lattice_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ q15_t *pStateCur; /* State current pointer */
+ q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */
+ q63_t acc; /* Accumlator */
+ q15_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */
+ uint32_t numStages = S->numStages; /* Number of stages */
+ uint32_t blkCnt, tapCnt; /* Temporary variables for counts */
+ q15_t out; /* Temporary variable for output */
+
+#if defined (ARM_MATH_DSP) && defined (ARM_MATH_LOOPUNROLL)
+ q15_t gnext1, gnext2; /* Temporary variables for lattice stages */
+ q31_t v; /* Temporary variable for ladder coefficient */
+#endif
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+#if defined (ARM_MATH_DSP)
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ /* Process sample for first tap */
+ gcurr = *px1++;
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext = __SSAT(gnext, 16);
+
+ /* write gN(n) into state for next sample processing */
+ *px2++ = (q15_t) gnext;
+
+ /* y(n) += gN(n) * vN */
+ acc += (q31_t) ((gnext * (*pv++)));
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numStages - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Process sample for 2nd, 6th ...taps */
+ /* Read gN-2(n-1) from state buffer */
+ gcurr = *px1++;
+ /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+ /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext1 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-1(n) into state for next sample processing */
+ *px2++ = (q15_t) gnext1;
+
+ /* Process sample for 3nd, 7th ...taps */
+ /* Read gN-3(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 3rd, 7th .. taps */
+ /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+ fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+ fcurr = __SSAT(fcurr, 16);
+ /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+ gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+ gnext2 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-2(n) into state */
+ *px2++ = (q15_t) gnext2;
+
+ /* Read vN-1 and vN-2 at a time */
+ v = read_q15x2_ia (&pv);
+
+ /* Pack gN-1(n) and gN-2(n) */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ gnext = __PKHBT(gnext1, gnext2, 16);
+#else
+ gnext = __PKHBT(gnext2, gnext1, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* y(n) += gN-1(n) * vN-1 */
+ /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+ /* y(n) += gN-2(n) * vN-2 */
+ /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+ acc = __SMLALD(gnext, v, acc);
+
+ /* Process sample for 4th, 8th ...taps */
+ /* Read gN-4(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 4th, 8th .. taps */
+ /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+ /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext1 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-3(n) for the next sample process */
+ *px2++ = (q15_t) gnext1;
+
+ /* Process sample for 5th, 9th ...taps */
+ /* Read gN-5(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 5th, 9th .. taps */
+ /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */
+ fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+ fcurr = __SSAT(fcurr, 16);
+ /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+ gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+ gnext2 = (q15_t) __SSAT(gnext, 16);
+ /* write gN-4(n) for the next sample process */
+ *px2++ = (q15_t) gnext2;
+
+ /* Read vN-3 and vN-4 at a time */
+ v = read_q15x2_ia (&pv);
+
+ /* Pack gN-3(n) and gN-4(n) */
+#ifndef ARM_MATH_BIG_ENDIAN
+ gnext = __PKHBT(gnext1, gnext2, 16);
+#else
+ gnext = __PKHBT(gnext2, gnext1, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* y(n) += gN-4(n) * vN-4 */
+ /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+ /* y(n) += gN-3(n) * vN-3 */
+ /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+ acc = __SMLALD(gnext, v, acc);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ fnext = fcurr;
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numStages - 1U) % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample for last taps */
+ fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+ gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+ gnext = __SSAT(gnext, 16);
+
+ /* Output samples for last taps */
+ acc += (q31_t) (((q31_t) gnext * (*pv++)));
+ *px2++ = (q15_t) gnext;
+ fcurr = fnext;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += (q31_t) (((q31_t) fnext * (*pv++)));
+
+ out = (q15_t) __SSAT(acc >> 15, 16);
+ *px2++ = (q15_t) fnext;
+
+ /* write out into pDst */
+ *pDst++ = out;
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numStages >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ tapCnt = numStages;
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample */
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = fcurr - ((gcurr * (*pk)) >> 15);
+ fnext = __SSAT(fnext, 16);
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = ((fnext * (*pk++)) >> 15) + gcurr;
+ gnext = __SSAT(gnext, 16);
+
+ /* Output samples */
+ /* y(n) += gN(n) * vN */
+ acc += (q31_t) ((gnext * (*pv++)));
+
+ /* write gN(n) into state for next sample processing */
+ *px2++ = (q15_t) gnext;
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += (q31_t) ((fnext * (*pv++)));
+
+ out = (q15_t) __SSAT(acc >> 15, 16);
+ *px2++ = (q15_t) fnext;
+
+ /* write out into pDst */
+ *pDst++ = out;
+
+ /* Advance the state pointer by 1 to process the next group of samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ tapCnt = numStages;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c
new file mode 100644
index 00000000..63344955
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c
@@ -0,0 +1,356 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_iir_lattice_q31.c
+ * Description: Q31 IIR Lattice filter processing function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup IIR_Lattice
+ @{
+ */
+
+/**
+ @brief Processing function for the Q31 IIR lattice filter.
+ @param[in] S points to an instance of the Q31 IIR lattice structure
+ @param[in] pSrc points to the block of input data
+ @param[out] pDst points to the block of output data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits.
+ After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format.
+ */
+
+void arm_iir_lattice_q31(
+ const arm_iir_lattice_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ q31_t *pStateCur; /* State current pointer */
+ q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */
+ q63_t acc; /* Accumlator */
+ q31_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */
+ uint32_t numStages = S->numStages; /* Number of stages */
+ uint32_t blkCnt, tapCnt; /* Temporary variables for counts */
+
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+#if defined (ARM_MATH_DSP)
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ /* Process sample for first tap */
+ gcurr = *px1++;
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+
+ /* write gN-1(n-1) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* y(n) += gN(n) * vN */
+ acc += ((q63_t) gnext * *pv++);
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numStages - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Process sample for 2nd, 6th ...taps */
+ /* Read gN-2(n-1) from state buffer */
+ gcurr = *px1++;
+ /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+ /* y(n) += gN-1(n) * vN-1 */
+ /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+ acc += ((q63_t) gnext * *pv++);
+ /* write gN-1(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Process sample for 3nd, 7th ...taps */
+ /* Read gN-3(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 3rd, 7th .. taps */
+ /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+ fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+ /* y(n) += gN-2(n) * vN-2 */
+ /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+ acc += ((q63_t) gnext * *pv++);
+ /* write gN-2(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Process sample for 4th, 8th ...taps */
+ /* Read gN-4(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 4th, 8th .. taps */
+ /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+ /* y(n) += gN-3(n) * vN-3 */
+ /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+ acc += ((q63_t) gnext * *pv++);
+ /* write gN-3(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Process sample for 5th, 9th ...taps */
+ /* Read gN-5(n-1) from state buffer */
+ gcurr = *px1++;
+ /* Process sample for 5th, 9th .. taps */
+ /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */
+ fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+ /* y(n) += gN-4(n) * vN-4 */
+ /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+ acc += ((q63_t) gnext * *pv++);
+
+ /* write gN-4(n) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ fnext = fcurr;
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numStages - 1U) % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample for last taps */
+ fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31));
+ gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+
+ /* Output samples for last taps */
+ acc += ((q63_t) gnext * *pv++);
+ *px2++ = gnext;
+ fcurr = fnext;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += ((q63_t) fnext * *pv++);
+
+ *px2++ = fnext;
+
+ /* write out into pDst */
+ *pDst++ = (q31_t) (acc >> 31U);
+
+ /* Advance the state pointer by 4 to process the next group of 4 samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ /* Copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numStages >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numStages % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* Sample processing */
+ while (blkCnt > 0U)
+ {
+ /* Read Sample from input buffer */
+ /* fN(n) = x(n) */
+ fcurr = *pSrc++;
+
+ /* Initialize Ladder coeff pointer */
+ pv = &S->pvCoeffs[0];
+
+ /* Initialize Reflection coeff pointer */
+ pk = &S->pkCoeffs[0];
+
+ /* Initialize state read pointer */
+ px1 = pState;
+
+ /* Initialize state write pointer */
+ px2 = pState;
+
+ /* Set accumulator to zero */
+ acc = 0;
+
+ tapCnt = numStages;
+
+ while (tapCnt > 0U)
+ {
+ gcurr = *px1++;
+ /* Process sample */
+ /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+ fnext = clip_q63_to_q31(((q63_t) fcurr - ((q31_t) (((q63_t) gcurr * (*pk )) >> 31))));
+
+ /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+ gnext = clip_q63_to_q31(((q63_t) gcurr + ((q31_t) (((q63_t) fnext * (*pk++)) >> 31))));
+
+ /* Output samples */
+ /* y(n) += gN(n) * vN */
+ acc += ((q63_t) gnext * *pv++);
+
+ /* write gN-1(n-1) into state for next sample processing */
+ *px2++ = gnext;
+
+ /* Update f values for next coefficient processing */
+ fcurr = fnext;
+
+ tapCnt--;
+ }
+
+ /* y(n) += g0(n) * v0 */
+ acc += ((q63_t) fnext * *pv++);
+
+ *px2++ = fnext;
+
+ /* write out into pDst */
+ *pDst++ = (q31_t) (acc >> 31U);
+
+ /* Advance the state pointer by 1 to process the next group of samples */
+ pState = pState + 1U;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+ for the preperation of next frame process */
+
+ /* Points to the start of the state buffer */
+ pStateCur = &S->pState[0];
+ pState = &S->pState[blockSize];
+
+ tapCnt = numStages;
+
+ /* Copy data */
+ while (tapCnt > 0U)
+ {
+ *pStateCur++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ @} end of IIR_Lattice group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_f16.c
new file mode 100644
index 00000000..36108c20
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_f16.c
@@ -0,0 +1,276 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_levinson_durbin_f16.c
+ * Description: f16 version of Levinson Durbin algorithm
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions_f16.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup LD Levinson Durbin Algorithm
+
+ */
+
+/**
+ @addtogroup LD
+ @{
+ */
+
+/**
+ @brief Levinson Durbin
+ @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1)
+ @param[out] a autoregressive coefficients
+ @param[out] err prediction error (variance)
+ @param[in] nbCoefs number of autoregressive coefficients
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) && defined(__CMSIS_GCC_H)
+#pragma GCC warning "Scalar version of arm_levinson_durbin_f16 built. Helium version has build issues with gcc."
+#endif
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) && !defined(__CMSIS_GCC_H)
+
+#include "arm_helium_utils.h"
+
+#define LANE4567_MASK 0xFF00
+
+void arm_levinson_durbin_f16(const float16_t *phi,
+ float16_t *a,
+ float16_t *err,
+ int nbCoefs)
+{
+ _Float16 e;
+ static const uint16_t revOffsetArray[8] = {7,6,5,4,3,2,1,0};
+
+ a[0] = (_Float16)phi[1] / (_Float16)phi[0];
+
+ e = (_Float16)phi[0] - (_Float16)phi[1] * (_Float16)a[0];
+ for(int p=1; p < nbCoefs; p++)
+ {
+ _Float16 suma = 0.0f16;
+ _Float16 sumb = 0.0f16;
+ f16x8_t vecA,vecRevPhi,vecPhi,vecSumA, vecSumB;
+ _Float16 k;
+ uint32_t blkCnt;
+ const float16_t *pPhi,*pRevPhi,*pA;
+ uint16x8_t revOffset;
+
+ int nb,j,i;
+
+ revOffset = vld1q(revOffsetArray);
+ vecSumA = vdupq_n_f16(0.0f16);
+ vecSumB = vdupq_n_f16(0.0f16);
+
+ pRevPhi = &phi[p-7];
+ pPhi = &phi[1];
+ pA = a;
+
+ i = 0;
+ blkCnt = p >> 3;
+ while(blkCnt > 0)
+ {
+ vecA = vld1q(pA);
+ pA += 8;
+
+ vecPhi = vld1q(pPhi);
+ pPhi += 8;
+
+ vecRevPhi = vldrhq_gather_shifted_offset_f16(pRevPhi,revOffset);
+ pRevPhi -= 8;
+
+ vecSumA = vfmaq(vecSumA,vecA,vecRevPhi);
+ vecSumB = vfmaq(vecSumB,vecA,vecPhi);
+
+ i += 8;
+ blkCnt--;
+
+ }
+
+ suma = vecAddAcrossF16Mve(vecSumA);
+ sumb = vecAddAcrossF16Mve(vecSumB);
+
+ blkCnt = p & 7;
+ while(blkCnt > 0)
+ {
+ suma += (_Float16)a[i] * (_Float16)phi[p - i];
+ sumb += (_Float16)a[i] * (_Float16)phi[i + 1];
+
+ i++;
+ blkCnt--;
+ }
+
+ k = ((_Float16)phi[p+1] - suma)/((_Float16)phi[0] - sumb);
+
+ f16x8_t vecRevA,tmp;
+ static int16_t orgOffsetArray[8]={0,1,2,3,-1,-2,-3,-4};
+ static const int16_t offsetIncArray[8]={4,4,4,4,-4,-4,-4,-4};
+
+ uint16x8_t offset,offsetInc,vecTmp;
+
+
+ offset = vld1q_u16((uint16_t*)orgOffsetArray);
+ vecTmp = vdupq_n_u16(p);
+
+ offset = vaddq_m_u16(offset,offset,vecTmp,LANE4567_MASK);
+ offsetInc = vld1q_u16((uint16_t*)offsetIncArray);
+
+ nb = p >> 3;
+ j=0;
+ for(int i = 0; i < nb ; i++)
+ {
+
+ /*
+ x0=a[j] - k * a[p-1-j];
+ x1=a[j+1] - k * a[p-2-j];
+ x3=a[p-1-j] - k * a[j];
+ x4=a[p-2-j] - k * a[j+1];
+
+ a[j] = x0;
+ a[j+1] = x1;
+ a[p-1-j] = x2;
+ a[p-2-j] = x3;
+ */
+
+ uint64_t tmpa,tmpb;
+ vecA = vldrhq_gather_shifted_offset_f16(a,offset);
+
+
+ tmpa = vgetq_lane_u64((uint64x2_t)vecA,0);
+ tmpb = vgetq_lane_u64((uint64x2_t)vecA,1);
+ vecRevA = (f16x8_t) vsetq_lane_u64(tmpb,(uint64x2_t)vecRevA,0);
+ vecRevA = (f16x8_t) vsetq_lane_u64(tmpa,(uint64x2_t)vecRevA,1);
+
+
+ tmp = vsubq(vecA,vmulq_n_f16(vecRevA,k));
+ vstrhq_scatter_shifted_offset_f16(a, offset, tmp);
+
+ offset = vaddq(offset,offsetInc);
+
+ j+=4;
+
+ }
+
+ blkCnt = p & 7;
+
+ if (blkCnt)
+ {
+ nb = blkCnt >> 1;
+ for(int i =0;i < nb ; i++)
+ {
+ _Float16 x,y;
+
+ x=(_Float16)a[j] - (_Float16)k * (_Float16)a[p-1-j];
+ y=(_Float16)a[p-1-j] - (_Float16)k * (_Float16)a[j];
+
+ a[j] = x;
+ a[p-1-j] = y;
+
+ j++;
+ }
+
+ nb = blkCnt & 1;
+ if (nb)
+ {
+ a[j]=(_Float16)a[j]- (_Float16)k * (_Float16)a[p-1-j];
+ }
+ }
+
+
+ a[p] = k;
+ e = e * (1.0f16 - k*k);
+
+
+ }
+ *err = e;
+}
+
+#else
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+void arm_levinson_durbin_f16(const float16_t *phi,
+ float16_t *a,
+ float16_t *err,
+ int nbCoefs)
+{
+ _Float16 e;
+
+ a[0] = (_Float16)phi[1] / (_Float16)phi[0];
+
+ e = (_Float16)phi[0] - (_Float16)phi[1] * (_Float16)a[0];
+ for(int p=1; p < nbCoefs; p++)
+ {
+ _Float16 suma=0.0f16;
+ _Float16 sumb=0.0f16;
+ _Float16 k;
+ int nb,j;
+
+ for(int i=0; i < p; i++)
+ {
+ suma += (_Float16)a[i] * (_Float16)phi[p - i];
+ sumb += (_Float16)a[i] * (_Float16)phi[i + 1];
+ }
+
+ k = ((_Float16)phi[p+1]-suma)/((_Float16)phi[0] - sumb);
+
+
+ nb = p >> 1;
+ j=0;
+ for(int i =0;i < nb ; i++)
+ {
+ _Float16 x,y;
+
+ x=(_Float16)a[j] - (_Float16)k * (_Float16)a[p-1-j];
+ y=(_Float16)a[p-1-j] - (_Float16)k * (_Float16)a[j];
+
+ a[j] = x;
+ a[p-1-j] = y;
+
+ j++;
+ }
+
+ nb = p & 1;
+ if (nb)
+ {
+ a[j]=(_Float16)a[j]- (_Float16)k * (_Float16)a[p-1-j];
+ }
+
+ a[p] = k;
+ e = e * (1.0f16 - k*k);
+
+
+ }
+ *err = e;
+}
+#endif /* defined(ARM_FLOAT16_SUPPORTED */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+/**
+ @} end of LD group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_f32.c
new file mode 100644
index 00000000..b244048c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_f32.c
@@ -0,0 +1,279 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_levinson_durbin_f32.c
+ * Description: f32 version of Levinson Durbin algorithm
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup LD Levinson Durbin Algorithm
+
+ */
+
+/**
+ @addtogroup LD
+ @{
+ */
+
+/**
+ @brief Levinson Durbin
+ @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1)
+ @param[out] a autoregressive coefficients
+ @param[out] err prediction error (variance)
+ @param[in] nbCoefs number of autoregressive coefficients
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) && defined(__CMSIS_GCC_H)
+#pragma GCC warning "Scalar version of arm_levinson_durbin_f32 built. Helium version has build issues with gcc."
+#endif
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) && !defined(__CMSIS_GCC_H)
+
+#include "arm_helium_utils.h"
+
+#define LANE23_MASK 0xFF00
+
+void arm_levinson_durbin_f32(const float32_t *phi,
+ float32_t *a,
+ float32_t *err,
+ int nbCoefs)
+{
+ float32_t e;
+ static const uint32_t revOffsetArray[4] = {3,2,1,0};
+
+ a[0] = phi[1] / phi[0];
+
+ e = phi[0] - phi[1] * a[0];
+ for(int p=1; p < nbCoefs; p++)
+ {
+ float32_t suma = 0.0f;
+ float32_t sumb = 0.0f;
+ f32x4_t vecA,vecRevPhi,vecPhi,vecSumA, vecSumB;
+ float32_t k;
+ uint32_t blkCnt;
+ const float32_t *pPhi,*pRevPhi,*pA;
+ uint32x4_t revOffset;
+
+ int nb,j,i;
+
+ revOffset = vld1q(revOffsetArray);
+ vecSumA = vdupq_n_f32(0.0f);
+ vecSumB = vdupq_n_f32(0.0f);
+
+ pRevPhi = &phi[p-3];
+ pPhi = &phi[1];
+ pA = a;
+
+ i = 0;
+ blkCnt = p >> 2;
+ while(blkCnt > 0)
+ {
+ vecA = vld1q(pA);
+ pA += 4;
+
+ vecPhi = vld1q(pPhi);
+ pPhi += 4;
+
+ vecRevPhi = vldrwq_gather_shifted_offset_f32(pRevPhi,revOffset);
+ pRevPhi -= 4;
+
+ vecSumA = vfmaq(vecSumA,vecA,vecRevPhi);
+ vecSumB = vfmaq(vecSumB,vecA,vecPhi);
+
+ i += 4;
+ blkCnt--;
+
+ }
+
+ suma = vecAddAcrossF32Mve(vecSumA);
+ sumb = vecAddAcrossF32Mve(vecSumB);
+
+ blkCnt = p & 3;
+ while(blkCnt > 0)
+ {
+ suma += a[i] * phi[p - i];
+ sumb += a[i] * phi[i + 1];
+
+ i++;
+ blkCnt--;
+ }
+
+ k = (phi[p+1] - suma)/(phi[0] - sumb);
+
+ f32x4_t vecRevA,tmp;
+ static int32_t orgOffsetArray[4]={0,1,-1,-2};
+ static const int32_t offsetIncArray[4]={2,2,-2,-2};
+
+ uint32x4_t offset,offsetInc,vecTmp;
+
+
+ offset = vld1q_u32((uint32_t*)orgOffsetArray);
+ vecTmp = vdupq_n_u32(p);
+
+ offset = vaddq_m_u32(offset,offset,vecTmp,LANE23_MASK);
+ offsetInc = vld1q_u32((uint32_t*)offsetIncArray);
+
+ nb = p >> 2;
+ j=0;
+ for(int i = 0; i < nb ; i++)
+ {
+
+ /*
+ x0=a[j] - k * a[p-1-j];
+ x1=a[j+1] - k * a[p-2-j];
+ x3=a[p-1-j] - k * a[j];
+ x4=a[p-2-j] - k * a[j+1];
+
+ a[j] = x0;
+ a[j+1] = x1;
+ a[p-1-j] = x2;
+ a[p-2-j] = x3;
+ */
+
+ uint64_t tmpa,tmpb;
+ vecA = vldrwq_gather_shifted_offset_f32(a,offset);
+
+
+ tmpa = vgetq_lane_u64((uint64x2_t)vecA,0);
+ tmpb = vgetq_lane_u64((uint64x2_t)vecA,1);
+ vecRevA = (f32x4_t) vsetq_lane_u64(tmpb,(uint64x2_t)vecRevA,0);
+ vecRevA = (f32x4_t) vsetq_lane_u64(tmpa,(uint64x2_t)vecRevA,1);
+
+
+ tmp = vsubq(vecA,vmulq_n_f32(vecRevA,k));
+ vstrwq_scatter_shifted_offset_f32(a, offset, tmp);
+
+ offset = vaddq(offset,offsetInc);
+
+ j+=2;
+
+ }
+
+ switch(p & 3)
+ {
+ case 3:
+ {
+ float32_t x,y;
+ x = a[j] - k * a[p-1-j];
+ y = a[p-1-j] - k * a[j];
+
+ a[j] = x;
+ a[p-1-j] = y;
+
+ a[j+1] = a[j+1] - k * a[p-1-(j+1)];
+ }
+ break;
+
+ case 2:
+ {
+ float32_t x,y;
+ x = a[j] - k * a[p-1-j];
+ y = a[p-1-j] - k * a[j];
+
+ a[j] = x;
+ a[p-1-j] = y;
+ }
+ break;
+
+ case 1:
+ a[j] = a[j]- k * a[p-1-j];
+ break;
+ }
+
+ a[p] = k;
+ e = e * (1.0f - k*k);
+
+
+ }
+ *err = e;
+}
+
+#else
+void arm_levinson_durbin_f32(const float32_t *phi,
+ float32_t *a,
+ float32_t *err,
+ int nbCoefs)
+{
+ float32_t e;
+ int p;
+
+ a[0] = phi[1] / phi[0];
+
+ e = phi[0] - phi[1] * a[0];
+ for(p=1; p < nbCoefs; p++)
+ {
+ float32_t suma=0.0f;
+ float32_t sumb=0.0f;
+ float32_t k;
+ int nb,j,i;
+
+ for(i=0; i < p; i++)
+ {
+ suma += a[i] * phi[p - i];
+ sumb += a[i] * phi[i + 1];
+ }
+
+ k = (phi[p+1]-suma)/(phi[0] - sumb);
+
+
+ nb = p >> 1;
+ j=0;
+ for(i =0; i < nb ; i++)
+ {
+ float32_t x,y;
+
+ x=a[j] - k * a[p-1-j];
+ y=a[p-1-j] - k * a[j];
+
+ a[j] = x;
+ a[p-1-j] = y;
+
+ j++;
+ }
+
+ nb = p & 1;
+ if (nb)
+ {
+ a[j]=a[j]- k * a[p-1-j];
+ }
+
+ a[p] = k;
+ e = e * (1.0f - k*k);
+
+
+ }
+ *err = e;
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of LD group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_q31.c
new file mode 100644
index 00000000..1788d971
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_levinson_durbin_q31.c
@@ -0,0 +1,379 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_levinson_durbin_q31.c
+ * Description: q31 version of Levinson Durbin algorithm
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+#define ONE_Q31 0x7FFFFFFFL
+#define TWO_Q30 0x7FFFFFFFL
+
+#define HALF_Q31 0x00008000L
+#define ONE_Q15 0x7FFF
+#define HALF_Q15 0x3FFF
+#define LOWPART_MASK 0x07FFF
+
+__STATIC_FORCEINLINE q31_t mul32x16(q31_t a, q15_t b)
+{
+ q31_t r = ((q63_t)a * (q63_t)b) >> 15;
+
+ return(r);
+
+}
+
+__STATIC_FORCEINLINE q31_t mul32x32(q31_t a, q31_t b)
+{
+ //q31_t r = __SSAT(((q63_t)a * b) >> 31,31);
+ q31_t r = ((q63_t)a * b) >> 31;
+
+ return(r);
+
+}
+
+__STATIC_FORCEINLINE q31_t divide(q31_t n, q31_t d)
+{
+ arm_status status;
+ int16_t shift;
+ q15_t inverse;
+ q31_t r;
+ // We are computing:
+ // n / d = n / (h + l) where h and l are the high end and low end part.
+ // 1 / (h + l) = 1 / h (1 - l / h)
+ // Our division algorithm has a shift. So it is returning a scaled value sh.
+ // So we need a << shift to convert 1/ sh to 1/h.
+ // In below code, we are organizing the computation differently. Instead of computing:
+ // 1 / h (1 - l / h)
+ // we are computing
+ // 1 / h (2 - (l + h) / h)
+ // 1 / h (2 - d / h)
+ // Also, we are not computing 1/h in Q15 but in Q14.
+ // 2 is expressed in Q30.
+ // So at the end of all computation we need a << 2
+
+ // Result is in Q14 because of use of HALF_Q15 instead of ONE_Q15.
+ status=arm_divide_q15(HALF_Q15,d>>16,&inverse,&shift);
+ (void)status;
+
+ // d is used instead of l
+ // So we will need to substract to 2 instead of 1.
+ r = mul32x16(d,inverse);
+ r = TWO_Q30 - (r << shift);
+ r = mul32x16(r, inverse);
+ r = mul32x32(r,n) ;
+ r = r << (shift + 2);
+
+ return(r);
+
+}
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup LD Levinson Durbin Algorithm
+
+ */
+
+/**
+ @addtogroup LD
+ @{
+ */
+
+/**
+ @brief Levinson Durbin
+ @param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1)
+ @param[out] a autoregressive coefficients
+ @param[out] err prediction error (variance)
+ @param[in] nbCoefs number of autoregressive coefficients
+ @return none
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) && defined(__CMSIS_GCC_H)
+#pragma GCC warning "Scalar version of arm_levinson_durbin_q31 built. Helium version has build issues with gcc."
+#endif
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) && !defined(__CMSIS_GCC_H)
+
+#define LANE23_MASK 0xFF00
+
+#include "arm_helium_utils.h"
+void arm_levinson_durbin_q31(const q31_t *phi,
+ q31_t *a,
+ q31_t *err,
+ int nbCoefs)
+{
+ q31_t e;
+
+ static const uint32_t revOffsetArray[4] = {3,2,1,0};
+
+ //a[0] = phi[1] / phi[0];
+ a[0] = divide(phi[1], phi[0]);
+
+
+ //e = phi[0] - phi[1] * a[0];
+ e = phi[0] - mul32x32(phi[1],a[0]);
+
+ for(int p=1; p < nbCoefs; p++)
+ {
+ q63_t suma=0;
+ q63_t sumb=0;
+ q31x4_t vecA,vecRevPhi,vecPhi;
+ q31_t k;
+ uint32_t blkCnt;
+ const q31_t *pPhi,*pRevPhi,*pA;
+ uint32x4_t revOffset;
+
+
+ int nb,j,i;
+
+ revOffset = vld1q(revOffsetArray);
+
+ pRevPhi = &phi[p-3];
+ pPhi = &phi[1];
+ pA = a;
+
+ i = 0;
+ blkCnt = p >> 2;
+ while(blkCnt > 0)
+ {
+ vecA = vld1q(pA);
+ pA += 4;
+
+ vecPhi = vld1q(pPhi);
+ pPhi += 4;
+
+ vecRevPhi = vldrwq_gather_shifted_offset_s32(pRevPhi,revOffset);
+ pRevPhi -= 4;
+
+ suma = vmlaldavaq(suma,vecA,vecRevPhi);
+ sumb = vmlaldavaq(sumb,vecA,vecPhi);
+
+ i += 4;
+ blkCnt--;
+ }
+
+
+ blkCnt = p & 3;
+ while(blkCnt > 0)
+ {
+ suma += ((q63_t)a[i] * phi[p - i]);
+ sumb += ((q63_t)a[i] * phi[i + 1]);
+
+ i++;
+ blkCnt--;
+ }
+
+ suma = asrl(suma, 31);
+ sumb = asrl(sumb, 31);
+
+
+
+ //k = (phi[p+1]-suma)/(phi[0] - sumb);
+ k = divide(phi[p+1]-(q31_t)suma,phi[0] - (q31_t)sumb);
+
+ q31x4_t vecRevA,tmp;
+ static int32_t orgOffsetArray[4]={0,1,-1,-2};
+ static const int32_t offsetIncArray[4]={2,2,-2,-2};
+
+ uint32x4_t offset,offsetInc,vecTmp;
+
+
+ offset = vld1q_u32((uint32_t*)orgOffsetArray);
+ vecTmp = vdupq_n_u32(p);
+
+ offset = vaddq_m_u32(offset,offset,vecTmp,LANE23_MASK);
+ offsetInc = vld1q_u32((uint32_t*)offsetIncArray);
+
+
+ nb = p >> 2;
+ j=0;
+ for(int i =0;i < nb ; i++)
+ {
+ /*
+ q31_t x0,x1,x2,x3;
+
+ //x = a[j] - k * a[p-1-j];
+ x0 = a[j] - mul32x32(k,a[p-1-j]);
+ x1 = a[j+1] - mul32x32(k,a[p-2-j]);
+
+ //y = a[p-1-j] - k * a[j];
+ x2 = a[p-1-j] - mul32x32(k , a[j]);
+ x3 = a[p-2-j] - mul32x32(k , a[j+1]);
+
+ a[j] = x0;
+ a[j+1] = x1;
+ a[p-1-j] = x2;
+ a[p-2-j] = x3;
+ */
+
+ uint64_t tmpa,tmpb;
+ vecA = vldrwq_gather_shifted_offset_s32(a,offset);
+
+
+ tmpa = vgetq_lane_u64((uint64x2_t)vecA,0);
+ tmpb = vgetq_lane_u64((uint64x2_t)vecA,1);
+ vecRevA = (q31x4_t) vsetq_lane_u64(tmpb,(uint64x2_t)vecRevA,0);
+ vecRevA = (q31x4_t) vsetq_lane_u64(tmpa,(uint64x2_t)vecRevA,1);
+
+
+ tmp = vsubq(vecA,vqdmulhq_n_s32(vecRevA,k));
+ vstrwq_scatter_shifted_offset_s32(a, offset, tmp);
+
+ offset = vaddq(offset,offsetInc);
+
+ j+=2;
+ }
+
+ switch(p & 3)
+ {
+ case 3:
+ {
+ q31_t x,y;
+
+ //x = a[j] - k * a[p-1-j];
+ x = a[j] - mul32x32(k,a[p-1-j]);
+
+ //y = a[p-1-j] - k * a[j];
+ y = a[p-1-j] - mul32x32(k , a[j]);
+
+ a[j] = x;
+ a[p-1-j] = y;
+
+ //a[j] = a[j]- k * a[p-1-j];
+ a[j+1] = a[j+1] - mul32x32(k,a[p-2-j]);
+ }
+ break;
+
+ case 2:
+ {
+ q31_t x,y;
+
+ //x = a[j] - k * a[p-1-j];
+ x = a[j] - mul32x32(k,a[p-1-j]);
+
+ //y = a[p-1-j] - k * a[j];
+ y = a[p-1-j] - mul32x32(k , a[j]);
+
+ a[j] = x;
+ a[p-1-j] = y;
+ }
+ break;
+
+ case 1:
+ //a[j] = a[j]- k * a[p-1-j];
+ a[j] = a[j] - mul32x32(k,a[p-1-j]);
+ break;
+ }
+
+ a[p] = k;
+
+ // e = e * (1 - k*k);
+ e = mul32x32(e,ONE_Q31 - mul32x32(k,k));
+
+
+ }
+ *err = e;
+}
+
+#else
+
+void arm_levinson_durbin_q31(const q31_t *phi,
+ q31_t *a,
+ q31_t *err,
+ int nbCoefs)
+{
+ q31_t e;
+ int p;
+
+ //a[0] = phi[1] / phi[0];
+ a[0] = divide(phi[1], phi[0]);
+
+
+ //e = phi[0] - phi[1] * a[0];
+ e = phi[0] - mul32x32(phi[1],a[0]);
+
+ for(p=1; p < nbCoefs; p++)
+ {
+ q63_t suma=0;
+ q63_t sumb=0;
+ q31_t k;
+ int nb,j,i;
+
+ for(i=0; i < p; i++)
+ {
+ suma += ((q63_t)a[i] * phi[p - i]);
+ sumb += ((q63_t)a[i] * phi[i + 1]);
+ }
+
+ suma = suma >> 31;
+ sumb = sumb >> 31;
+
+
+
+ //k = (phi[p+1]-suma)/(phi[0] - sumb);
+ k = divide(phi[p+1]-(q31_t)suma,phi[0] - (q31_t)sumb);
+
+
+ nb = p >> 1;
+ j=0;
+ for(i =0;i < nb ; i++)
+ {
+ q31_t x,y;
+
+ //x = a[j] - k * a[p-1-j];
+ x = a[j] - mul32x32(k,a[p-1-j]);
+
+ //y = a[p-1-j] - k * a[j];
+ y = a[p-1-j] - mul32x32(k , a[j]);
+
+ a[j] = x;
+ a[p-1-j] = y;
+
+ j++;
+ }
+
+ nb = p & 1;
+ if (nb)
+ {
+ //a[j] = a[j]- k * a[p-1-j];
+ a[j] = a[j] - mul32x32(k,a[p-1-j]);
+ }
+
+ a[p] = k;
+
+ // e = e * (1 - k*k);
+ e = mul32x32(e,ONE_Q31 - mul32x32(k,k));
+
+
+ }
+ *err = e;
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of LD group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c
new file mode 100644
index 00000000..99cbeb42
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c
@@ -0,0 +1,533 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_f32.c
+ * Description: Processing function for the floating-point LMS filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup LMS Least Mean Square (LMS) Filters
+
+ LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions.
+ LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal.
+ Adaptive filters are often used in communication systems, equalizers, and noise removal.
+ The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types.
+ The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal.
+
+ An LMS filter consists of two components as shown below.
+ The first component is a standard transversal or FIR filter.
+ The second component is a coefficient update mechanism.
+ The LMS filter has two input signals.
+ The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.
+ That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.
+ The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.
+ This "error signal" tends towards zero as the filter adapts.
+ The LMS processing functions accept the input and reference input signals and generate the filter output and error signal.
+ \image html LMS.gif "Internal structure of the Least Mean Square filter"
+
+ The functions operate on blocks of data and each call to the function processes
+ blockSize samples through the filter.
+ pSrc points to input signal, pRef points to reference signal,
+ pOut points to output signal and pErr points to error signal.
+ All arrays contain blockSize values.
+
+ The functions operate on a block-by-block basis.
+ Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.
+ The convergence of the LMS filter is slower compared to the normalized LMS algorithm.
+
+ @par Algorithm
+ The output signal y[n] is computed by a standard FIR filter:
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ + @par + The error signal equals the difference between the reference signal
d[n] and the filter output:
+ + e[n] = d[n] - y[n]. ++ + @par + After each sample of the error signal is computed, the filter coefficients
b[k] are updated on a sample-by-sample basis:
+ + b[k] = b[k] + e[n] * mu * x[n-k], for k=0, 1, ..., numTaps-1 ++ where
mu is the step size and controls the rate of coefficient convergence.
+ @par
+ In the APIs, pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the order:
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par
+ Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.
+ The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,
+ to be avoided and yields a significant speed improvement.
+ The state variables are updated after each block of data is processed.
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter and
+ coefficient and state arrays cannot be shared among instances.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero.
+
+ @par
+ Use of the initialization function is optional.
+ However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+ To place an instance structure into a const data section, the instance structure must be manually initialized.
+ Set the values in the state buffer to zeros before static initialization.
+ The code below statically initializes each of the 3 different data type filter instance structures
+
+ arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};
+ arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};
+ arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};
+
+ where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;
+ pCoeffs is the address of the coefficient buffer; mu is the step size parameter; and postShift is the shift applied to coefficients.
+
+ @par Fixed-Point Behavior
+ Care must be taken when using the Q15 and Q31 versions of the LMS filter.
+ The following issues must be considered:
+ - Scaling of coefficients
+ - Overflow and saturation
+
+ @par Scaling of Coefficients
+ Filter coefficients are represented as fractional values and
+ coefficients are restricted to lie in the range [-1 +1).
+ The fixed-point functions have an additional scaling parameter postShift.
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ This essentially scales the filter coefficients by 2^postShift and
+ allows the filter coefficients to exceed the range [+1 -1).
+ The value of postShift is set by the user based on the expected gain through the system being modeled.
+
+ @par Overflow and Saturation
+ Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are
+ described separately as part of the function specific documentation below.
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point LMS filter.
+ @param[in] S points to an instance of the floating-point LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_lms_f32(
+ const arm_lms_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ float32_t sum, e, d; /* accumulator, error, reference data sample */
+ float32_t w = 0.0f; /* weight factor */
+
+ float32x4_t tempV, sumV, xV, bV;
+ float32x2_t tempV2;
+
+ e = 0.0f;
+ d = 0.0f;
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Set the accumulator to zero */
+ sum = 0.0f;
+ sumV = vdupq_n_f32(0.0);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ sumV = vmlaq_f32(sumV, xV, bV);
+
+ px += 4;
+ pb += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+ tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+ sum = vget_lane_f32(tempV2, 0) + vget_lane_f32(tempV2, 1);
+
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result in the accumulator, store in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Compute and store error */
+ d = (float32_t) (*pRef++);
+ e = d - sum;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for the updating filter coefficients */
+ w = e * mu;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ px += 4;
+ bV = vmlaq_n_f32(bV,xV,w);
+
+ vst1q_f32(pb,bV);
+ pb += 4;
+
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb = *pb + (w * (*px++));
+ pb++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+
+ /* Processing is complete. Now copy the last numTaps - 1 samples to the
+ satrt of the state buffer. This prepares the state buffer for the
+ next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* Process 4 taps at a time for (numTaps - 1U) samples copy */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ tempV = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,tempV);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+ /* Copy the remaining q31_t data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+
+}
+#else
+void arm_lms_f32(
+ const arm_lms_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ float32_t acc, e; /* Accumulator, error */
+ float32_t w; /* Weight factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+
+ /* Initializations of error, difference, Coefficient update */
+ e = 0.0f;
+ w = 0.0f;
+
+ /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = acc;
+
+ /* Compute and store error */
+ e = (float32_t) *pRef++ - acc;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for updating filter coefficients */
+ w = e * mu;
+
+ /* Initialize pState pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+ @} end of LMS group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c
new file mode 100644
index 00000000..cf472afd
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c
@@ -0,0 +1,81 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_init_f32.c
+ * Description: Floating-point LMS filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Initialization function for floating-point LMS filter.
+ @param[in] S points to an instance of the floating-point LMS filter structure
+ @param[in] numTaps number of filter coefficients
+ @param[in] pCoeffs points to coefficient buffer
+ @param[in] pState points to state buffer
+ @param[in] mu step size that controls filter coefficient updates
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_lms_f32().
+ */
+
+void arm_lms_init_f32(
+ arm_lms_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps */
+ memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c
new file mode 100644
index 00000000..31c2bff2
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_init_q15.c
+ * Description: Q15 LMS filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Initialization function for the Q15 LMS filter.
+ @param[in] S points to an instance of the Q15 LMS filter structure.
+ @param[in] numTaps number of filter coefficients.
+ @param[in] pCoeffs points to coefficient buffer.
+ @param[in] pState points to state buffer.
+ @param[in] mu step size that controls filter coefficient updates.
+ @param[in] blockSize number of samples to process.
+ @param[in] postShift bit shift applied to coefficients.
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to the array of state variables and size of array is
+ numTaps+blockSize-1 samples, where blockSize is the number of
+ input samples processed by each call to arm_lms_q15().
+ */
+
+void arm_lms_init_q15(
+ arm_lms_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint32_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Assign postShift value to be applied */
+ S->postShift = postShift;
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c
new file mode 100644
index 00000000..e657a938
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_init_q31.c
+ * Description: Q31 LMS filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Initialization function for Q31 LMS filter.
+ @param[in] S points to an instance of the Q31 LMS filter structure
+ @param[in] numTaps number of filter coefficients
+ @param[in] pCoeffs points to coefficient buffer
+ @param[in] pState points to state buffer
+ @param[in] mu step size that controls filter coefficient updates
+ @param[in] blockSize number of samples to process
+ @param[in] postShift bit shift applied to coefficients
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples,
+ where blockSize is the number of input samples processed by each call to
+ arm_lms_q31().
+ */
+
+void arm_lms_init_q31(
+ arm_lms_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint32_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Assign postShift value to be applied */
+ S->postShift = postShift;
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c
new file mode 100644
index 00000000..85f8211c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c
@@ -0,0 +1,564 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_f32.c
+ * Description: Processing function for the floating-point NLMS filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @defgroup LMS_NORM Normalized LMS Filters
+
+ This set of functions implements a commonly used adaptive filter.
+ It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization
+ factor which increases the adaptation rate of the filter.
+ The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types.
+
+ A normalized least mean square (NLMS) filter consists of two components as shown below.
+ The first component is a standard transversal or FIR filter.
+ The second component is a coefficient update mechanism.
+ The NLMS filter has two input signals.
+ The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.
+ That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.
+ The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.
+ This "error signal" tends towards zero as the filter adapts.
+ The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal.
+ \image html LMS.gif "Internal structure of the NLMS adaptive filter"
+
+ The functions operate on blocks of data and each call to the function processes
+ blockSize samples through the filter.
+ pSrc points to input signal, pRef points to reference signal,
+ pOut points to output signal and pErr points to error signal.
+ All arrays contain blockSize values.
+
+ The functions operate on a block-by-block basis.
+ Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.
+ The convergence of the LMS filter is slower compared to the normalized LMS algorithm.
+
+ @par Algorithm
+ The output signal y[n] is computed by a standard FIR filter:
+ + y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] ++ + @par + The error signal equals the difference between the reference signal
d[n] and the filter output:
+ + e[n] = d[n] - y[n]. ++ + @par + After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated: +
+ E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2. ++ The filter coefficients
b[k] are then updated on a sample-by-sample basis:
+ + b[k] = b[k] + e[n] * (mu/E) * x[n-k], for k=0, 1, ..., numTaps-1 ++ where
mu is the step size and controls the rate of coefficient convergence.
+ @par
+ In the APIs, pCoeffs points to a coefficient array of size numTaps.
+ Coefficients are stored in time reversed order.
+ @par
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par
+ pState points to a state array of size numTaps + blockSize - 1.
+ Samples in the state buffer are stored in the order:
+ @par
+
+ {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par
+ Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.
+ The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,
+ to be avoided and yields a significant speed improvement.
+ The state variables are updated after each block of data is processed.
+
+ @par Instance Structure
+ The coefficients and state variables for a filter are stored together in an instance data structure.
+ A separate instance structure must be defined for each filter and
+ coefficient and state arrays cannot be shared among instances.
+ There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par Initialization Functions
+ There is also an associated initialization function for each data type.
+ The initialization function performs the following operations:
+ - Sets the values of the internal structure fields.
+ - Zeros out the values in the state buffer.
+ To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero.
+ For Q7, Q15, and Q31 the following fields must also be initialized;
+ recipTable, postShift
+ @par
+ Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
+ @par Fixed-Point Behavior
+ Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter.
+ The following issues must be considered:
+ - Scaling of coefficients
+ - Overflow and saturation
+
+ @par Scaling of Coefficients (fixed point versions)
+ Filter coefficients are represented as fractional values and
+ coefficients are restricted to lie in the range [-1 +1).
+ The fixed-point functions have an additional scaling parameter postShift.
+ At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.
+ This essentially scales the filter coefficients by 2^postShift and
+ allows the filter coefficients to exceed the range [+1 -1).
+ The value of postShift is set by the user based on the expected gain through the system being modeled.
+
+ @par Overflow and Saturation (fixed point versions)
+ Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are
+ described separately as part of the function specific documentation below.
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Processing function for floating-point normalized LMS filter.
+ @param[in] S points to an instance of the floating-point normalized LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+ */
+
+#if defined(ARM_MATH_NEON)
+void arm_lms_norm_f32(
+ arm_lms_norm_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ float32_t energy; /* Energy of the input */
+ float32_t sum, e, d; /* accumulator, error, reference data sample */
+ float32_t w, x0, in; /* weight factor, temporary variable to hold input sample and state */
+
+ float32x4_t tempV, sumV, xV, bV;
+ float32x2_t tempV2;
+
+ /* Initializations of error, difference, Coefficient update */
+ e = 0.0f;
+ d = 0.0f;
+ w = 0.0f;
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* Loop over blockSize number of values */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy -= x0 * x0;
+ energy += in * in;
+
+ /* Set the accumulator to zero */
+ sum = 0.0f;
+ sumV = vdupq_n_f32(0.0);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ sumV = vmlaq_f32(sumV, xV, bV);
+
+ px += 4;
+ pb += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+ tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+ sum = vget_lane_f32(tempV2, 0) + vget_lane_f32(tempV2, 1);
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* The result in the accumulator, store in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Compute and store error */
+ d = (float32_t) (*pRef++);
+ e = d - sum;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for updating filter coefficients */
+ /* epsilon value 0.000000119209289f */
+ w = (e * mu) / (energy + 0.000000119209289f);
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coeff pointer */
+ pb = (pCoeffs);
+
+ /* Process 4 taps at a time. */
+ tapCnt = numTaps >> 2;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ xV = vld1q_f32(px);
+ bV = vld1q_f32(pb);
+ px += 4;
+ bV = vmlaq_n_f32(bV,xV,w);
+
+ vst1q_f32(pb,bV);
+ pb += 4;
+
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+ tapCnt = numTaps % 0x4U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ S->energy = energy;
+ S->x0 = x0;
+
+ /* Processing is complete. Now copy the last numTaps - 1 samples to the
+ satrt of the state buffer. This prepares the state buffer for the
+ next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* Process 4 taps at a time for (numTaps - 1U)/4 samples copy */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ /* copy data */
+ while (tapCnt > 0U)
+ {
+ tempV = vld1q_f32(pState);
+ vst1q_f32(pStateCurnt,tempV);
+ pState += 4;
+ pStateCurnt += 4;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calculate remaining number of copies */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+ /* Copy the remaining q31_t data */
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+}
+#else
+void arm_lms_norm_f32(
+ arm_lms_norm_instance_f32 * S,
+ const float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize)
+{
+ float32_t *pState = S->pState; /* State pointer */
+ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ float32_t *pStateCurnt; /* Points to the current sample of the state */
+ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ float32_t mu = S->mu; /* Adaptive factor */
+ float32_t acc, e; /* Accumulator, error */
+ float32_t w; /* Weight factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ float32_t energy; /* Energy of the input */
+ float32_t x0, in; /* Temporary variable to hold input sample and state */
+
+ /* Initializations of error, difference, Coefficient update */
+ e = 0.0f;
+ w = 0.0f;
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy -= x0 * x0;
+ energy += in * in;
+
+ /* Set the accumulator to zero */
+ acc = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ acc += (*px++) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (*px++) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = acc;
+
+ /* Compute and store error */
+ e = (float32_t) *pRef++ - acc;
+ *pErr++ = e;
+
+ /* Calculation of Weighting factor for updating filter coefficients */
+ /* epsilon value 0.000000119209289f */
+ w = (e * mu) / (energy + 0.000000119209289f);
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ *pb += w * (*px++);
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Save energy and x0 values for the next frame */
+ S->energy = energy;
+ S->x0 = x0;
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c
new file mode 100644
index 00000000..b0b7ea50
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_init_f32.c
+ * Description: Floating-point NLMS filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Initialization function for floating-point normalized LMS filter.
+ @param[in] S points to an instance of the floating-point LMS filter structure
+ @param[in] numTaps number of filter coefficients
+ @param[in] pCoeffs points to coefficient buffer
+ @param[in] pState points to state buffer
+ @param[in] mu step size that controls filter coefficient updates
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples,
+ where blockSize is the number of input samples processed by each call to arm_lms_norm_f32().
+ */
+
+void arm_lms_norm_init_f32(
+ arm_lms_norm_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Initialise Energy to zero */
+ S->energy = 0.0f;
+
+ /* Initialise x0 to zero */
+ S->x0 = 0.0f;
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c
new file mode 100644
index 00000000..5bbfc420
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c
@@ -0,0 +1,98 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_init_q15.c
+ * Description: Q15 NLMS filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+#include "arm_common_tables.h"
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Initialization function for Q15 normalized LMS filter.
+ @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ @param[in] numTaps number of filter coefficients.
+ @param[in] pCoeffs points to coefficient buffer.
+ @param[in] pState points to state buffer.
+ @param[in] mu step size that controls filter coefficient updates.
+ @param[in] blockSize number of samples to process.
+ @param[in] postShift bit shift applied to coefficients.
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to the array of state variables and size of array is
+ numTaps+blockSize-1 samples, where blockSize is the number of input samples processed
+ by each call to arm_lms_norm_q15().
+ */
+
+void arm_lms_norm_init_q15(
+ arm_lms_norm_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint8_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+ /* Assign post Shift value applied to coefficients */
+ S->postShift = postShift;
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Initialize reciprocal pointer table */
+ S->recipTable = (q15_t *) armRecipTableQ15;
+
+ /* Initialise Energy to zero */
+ S->energy = 0;
+
+ /* Initialise x0 to zero */
+ S->x0 = 0;
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c
new file mode 100644
index 00000000..cc429b00
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c
@@ -0,0 +1,97 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_init_q31.c
+ * Description: Q31 NLMS filter initialization function
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+#include "arm_common_tables.h"
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Initialization function for Q31 normalized LMS filter.
+ @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ @param[in] numTaps number of filter coefficients.
+ @param[in] pCoeffs points to coefficient buffer.
+ @param[in] pState points to state buffer.
+ @param[in] mu step size that controls filter coefficient updates.
+ @param[in] blockSize number of samples to process.
+ @param[in] postShift bit shift applied to coefficients.
+ @return none
+
+ @par Details
+ pCoeffs points to the array of filter coefficients stored in time reversed order:
+
+ {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter.
+ pState points to an array of length numTaps+blockSize-1 samples,
+ where blockSize is the number of input samples processed by each call to arm_lms_norm_q31().
+ */
+
+void arm_lms_norm_init_q31(
+ arm_lms_norm_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint8_t postShift)
+{
+ /* Assign filter taps */
+ S->numTaps = numTaps;
+
+ /* Assign coefficient pointer */
+ S->pCoeffs = pCoeffs;
+
+ /* Clear state buffer and size is always blockSize + numTaps - 1 */
+ memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+ /* Assign post Shift value applied to coefficients */
+ S->postShift = postShift;
+
+ /* Assign state pointer */
+ S->pState = pState;
+
+ /* Assign Step size value */
+ S->mu = mu;
+
+ /* Initialize reciprocal pointer table */
+ S->recipTable = (q31_t *) armRecipTableQ31;
+
+ /* Initialise Energy to zero */
+ S->energy = 0;
+
+ /* Initialise x0 to zero */
+ S->x0 = 0;
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c
new file mode 100644
index 00000000..b07efdda
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c
@@ -0,0 +1,297 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_q15.c
+ * Description: Processing function for Q15 normalized LMS filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Processing function for Q15 normalized LMS filter.
+ @param[in] S points to an instance of the Q15 normalized LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using a 64-bit internal accumulator.
+ Both coefficients and state variables are represented in 1.15 format and
+ multiplications yield a 2.30 result. The 2.30 intermediate results are
+ accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full
+ precision of intermediate multiplications is preserved. After all additions
+ have been performed, the accumulator is truncated to 34.15 format by
+ discarding low 15 bits. Lastly, the accumulator is saturated to yield a
+ result in 1.15 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and the
+ updation of filter cofficients are saturted.
+ */
+
+void arm_lms_norm_q15(
+ arm_lms_norm_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q15_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q31_t energy; /* Energy of the input */
+ q15_t e = 0, d = 0; /* Error, reference data sample */
+ q15_t w = 0, in; /* Weight factor and state */
+ q15_t x0; /* Temporary variable to hold input sample */
+ q15_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */
+ q15_t postShift; /* Post shift to be applied to weight after reciprocal calculation */
+ q31_t coef; /* Temporary variable for coefficient */
+ q31_t acc_l, acc_h; /* Temporary input */
+ int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */
+ int32_t uShift = (32 - lShift);
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy -= (((q31_t) x0 * (x0)) >> 15);
+ energy += (((q31_t) in * (in)) >> 15);
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Converting the result to 1.15 format and saturate the output */
+ acc = __SSAT(acc, 16U);
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q15_t) acc;
+
+ /* Compute and store error */
+ d = *pRef++;
+ e = d - (q15_t) acc;
+ *pErr++ = e;
+
+ /* Calculation of 1/energy */
+ postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, &oneByEnergy, S->recipTable);
+
+ /* Calculation of e * mu value */
+ errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
+
+ /* Calculation of (e * mu) * (1/energy) value */
+ acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
+
+ /* Weighting factor for the normalized version */
+ w = (q15_t) __SSAT((q31_t) acc, 16);
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT(coef, 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Save energy and x0 values for the next frame */
+ S->energy = (q15_t) energy;
+ S->x0 = x0;
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c
new file mode 100644
index 00000000..6375d8ff
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c
@@ -0,0 +1,311 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_norm_q31.c
+ * Description: Processing function for the Q31 NLMS filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS_NORM
+ @{
+ */
+
+/**
+ @brief Processing function for Q31 normalized LMS filter.
+ @param[in] S points to an instance of the Q31 normalized LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clip.
+ In order to avoid overflows completely the input signal must be scaled down by
+ log2(numTaps) bits. The reference signal should not be scaled down.
+ After all multiply-accumulates are performed, the 2.62 accumulator is shifted
+ and saturated to 1.31 format to yield the final result.
+ The output signal and error signal are in 1.31 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and the
+ updation of filter cofficients are saturted.
+ */
+
+void arm_lms_norm_q31(
+ arm_lms_norm_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q31_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q63_t energy; /* Energy of the input */
+ q31_t e = 0; /* Error data sample */
+ q31_t w = 0, in; /* Weight factor and state */
+ q31_t x0; /* Temporary variable to hold input sample */
+ q31_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */
+ q31_t postShift; /* Post shift to be applied to weight after reciprocal calculation */
+ q31_t coef; /* Temporary variable for coef */
+ q31_t acc_l, acc_h; /* Temporary input */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+
+ energy = S->energy;
+ x0 = S->x0;
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Read the sample from input buffer */
+ in = *pSrc++;
+
+ /* Update the energy calculation */
+ energy = (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32);
+ energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-1] * x[n-N-1] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-2] * x[n-N-2] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-3] * x[n-N-3] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Converting the result to 1.31 format */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q31_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q31_t) acc;
+ *pErr++ = e;
+
+ /* Calculates the reciprocal of energy */
+ postShift = arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]);
+
+ /* Calculation of product of (e * mu) */
+ errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
+
+ /* Weighting factor for the normalized version */
+ w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+
+ /* coef is in 2.30 format */
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ /* get coef in 1.31 format by left shifting */
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ /* update coefficient buffer to next coefficient */
+ pb++;
+
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Read the sample from state buffer */
+ x0 = *pState;
+
+ /* Advance state pointer by 1 for the next sample */
+ pState = pState + 1;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Save energy and x0 values for the next frame */
+ S->energy = (q31_t) energy;
+ S->x0 = x0;
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS_NORM group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c
new file mode 100644
index 00000000..76cab032
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c
@@ -0,0 +1,262 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_q15.c
+ * Description: Processing function for Q15 LMS filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Processing function for Q15 LMS filter.
+ @param[in] S points to an instance of the Q15 LMS filter structure
+ @param[in] pSrc points to the block of input data
+ @param[in] pRef points to the block of reference data
+ @param[out] pOut points to the block of output data
+ @param[out] pErr points to the block of error data
+ @param[in] blockSize number of samples to process
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and
+ the updation of filter cofficients are saturted.
+ */
+
+void arm_lms_q15(
+ const arm_lms_instance_q15 * S,
+ const q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize)
+{
+ q15_t *pState = S->pState; /* State pointer */
+ q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q15_t *pStateCurnt; /* Points to the current sample of the state */
+ q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q15_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q15_t e = 0; /* Error of data sample */
+ q15_t alpha; /* Intermediate constant for taps update */
+ q31_t coef; /* Temporary variable for coefficient */
+ q31_t acc_l, acc_h; /* Temporary input */
+ int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */
+ int32_t uShift = (32 - lShift);
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+ acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ /* Apply shift for lower part of acc and upper part of acc */
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Converting the result to 1.15 format and saturate the output */
+ acc = __SSAT(acc, 16U);
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q15_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q15_t) acc;
+ *pErr++ = (q15_t) e;
+
+ /* Compute alpha i.e. intermediate constant for taps update */
+ alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
+
+ /* Initialize pState pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+ *pb++ = (q15_t) __SSAT((coef), 16);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+ write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c
new file mode 100644
index 00000000..1ed61f27
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c
@@ -0,0 +1,283 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_lms_q31.c
+ * Description: Processing function for the Q31 LMS filter
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/filtering_functions.h"
+
+/**
+ @ingroup groupFilters
+ */
+
+/**
+ @addtogroup LMS
+ @{
+ */
+
+/**
+ @brief Processing function for Q31 LMS filter.
+ @param[in] S points to an instance of the Q31 LMS filter structure.
+ @param[in] pSrc points to the block of input data.
+ @param[in] pRef points to the block of reference data.
+ @param[out] pOut points to the block of output data.
+ @param[out] pErr points to the block of error data.
+ @param[in] blockSize number of samples to process.
+ @return none
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit.
+ Thus, if the accumulator result overflows it wraps around rather than clips.
+ In order to avoid overflows completely the input signal must be scaled down by
+ log2(numTaps) bits.
+ The reference signal should not be scaled down.
+ After all multiply-accumulates are performed, the 2.62 accumulator is shifted
+ and saturated to 1.31 format to yield the final result.
+ The output signal and error signal are in 1.31 format.
+ @par
+ In this filter, filter coefficients are updated for each sample and
+ the updation of filter cofficients are saturted.
+ */
+
+void arm_lms_q31(
+ const arm_lms_instance_q31 * S,
+ const q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize)
+{
+ q31_t *pState = S->pState; /* State pointer */
+ q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */
+ q31_t *pStateCurnt; /* Points to the current sample of the state */
+ q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */
+ q31_t mu = S->mu; /* Adaptive factor */
+ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */
+ uint32_t tapCnt, blkCnt; /* Loop counters */
+ q63_t acc; /* Accumulator */
+ q31_t e = 0; /* Error of data sample */
+ q31_t alpha; /* Intermediate constant for taps update */
+ q31_t coef; /* Temporary variable for coef */
+ q31_t acc_l, acc_h; /* Temporary input */
+ uint32_t uShift = ((uint32_t) S->postShift + 1U);
+ uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */
+
+ /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+ /* pStateCurnt points to the location where the new input data should be written */
+ pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+ /* initialise loop count */
+ blkCnt = blockSize;
+
+ while (blkCnt > 0U)
+ {
+ /* Copy the new input sample into the state buffer */
+ *pStateCurnt++ = *pSrc++;
+
+ /* Initialize pState pointer */
+ px = pState;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+ /* Set the accumulator to zero */
+ acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* acc += b[N] * x[n-N] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-1] * x[n-N-1] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-2] * x[n-N-2] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* acc += b[N-3] * x[n-N-3] */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ acc += ((q63_t) (*px++)) * (*pb++);
+
+ /* Decrement the loop counter */
+ tapCnt--;
+ }
+
+ /* Converting the result to 1.31 format */
+ /* Calc lower part of acc */
+ acc_l = acc & 0xffffffff;
+
+ /* Calc upper part of acc */
+ acc_h = (acc >> 32) & 0xffffffff;
+
+ acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+ /* Store the result from accumulator into the destination buffer. */
+ *pOut++ = (q31_t) acc;
+
+ /* Compute and store error */
+ e = *pRef++ - (q31_t) acc;
+ *pErr++ = e;
+
+ /* Compute alpha i.e. intermediate constant for taps update */
+ alpha = (q31_t) (((q63_t) e * mu) >> 31);
+
+ /* Initialize pState pointer */
+ /* Advance state pointer by 1 for the next sample */
+ px = pState++;
+
+ /* Initialize coefficient pointer */
+ pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = numTaps >> 2U;
+
+ /* Update filter coefficients */
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+
+ /* coef is in 2.30 format */
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ /* get coef in 1.31 format by left shifting */
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ /* update coefficient buffer to next coefficient */
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = numTaps % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+ *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+ pb++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Processing is complete.
+ Now copy the last numTaps - 1 samples to the start of the state buffer.
+ This prepares the state buffer for the next function call. */
+
+ /* Points to the start of the pState buffer */
+ pStateCurnt = S->pState;
+
+ /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 taps at a time. */
+ tapCnt = (numTaps - 1U) >> 2U;
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining taps */
+ tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+ /* Initialize tapCnt with number of samples */
+ tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (tapCnt > 0U)
+ {
+ *pStateCurnt++ = *pState++;
+
+ /* Decrement loop counter */
+ tapCnt--;
+ }
+
+}
+
+/**
+ @} end of LMS group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/CMakeLists.txt b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/CMakeLists.txt
new file mode 100644
index 00000000..7ce79cfe
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/CMakeLists.txt
@@ -0,0 +1,34 @@
+cmake_minimum_required (VERSION 3.14)
+
+project(CMSISDSPInterpolation)
+
+include(configLib)
+include(configDsp)
+
+
+add_library(CMSISDSPInterpolation STATIC)
+
+target_sources(CMSISDSPInterpolation PRIVATE arm_bilinear_interp_f32.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_bilinear_interp_q15.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_bilinear_interp_q31.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_bilinear_interp_q7.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_linear_interp_f32.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_linear_interp_q15.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_linear_interp_q31.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_linear_interp_q7.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_spline_interp_f32.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_spline_interp_init_f32.c)
+
+
+configLib(CMSISDSPInterpolation ${ROOT})
+configDsp(CMSISDSPInterpolation ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPInterpolation PUBLIC "${DSP}/Include")
+
+
+
+if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16))
+target_sources(CMSISDSPInterpolation PRIVATE arm_bilinear_interp_f16.c)
+target_sources(CMSISDSPInterpolation PRIVATE arm_linear_interp_f16.c)
+endif()
\ No newline at end of file
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/InterpolationFunctions.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/InterpolationFunctions.c
new file mode 100644
index 00000000..8462395e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/InterpolationFunctions.c
@@ -0,0 +1,41 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: InterpolationFunctions.c
+ * Description: Combination of all interpolation function source files.
+ *
+ * $Date: 22. July 2020
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_bilinear_interp_f32.c"
+#include "arm_bilinear_interp_q15.c"
+#include "arm_bilinear_interp_q31.c"
+#include "arm_bilinear_interp_q7.c"
+#include "arm_linear_interp_f32.c"
+#include "arm_linear_interp_q15.c"
+#include "arm_linear_interp_q31.c"
+#include "arm_linear_interp_q7.c"
+#include "arm_spline_interp_f32.c"
+#include "arm_spline_interp_init_f32.c"
+
+
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/InterpolationFunctionsF16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/InterpolationFunctionsF16.c
new file mode 100644
index 00000000..d778de9d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/InterpolationFunctionsF16.c
@@ -0,0 +1,33 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: InterpolationFunctions.c
+ * Description: Combination of all interpolation function source files.
+ *
+ * $Date: 22. July 2020
+ * $Revision: V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_bilinear_interp_f16.c"
+#include "arm_linear_interp_f16.c"
+
+
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_f16.c
new file mode 100644
index 00000000..799ed78c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_f16.c
@@ -0,0 +1,168 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_bilinear_interp_f16.c
+ * Description: Floating-point bilinear interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/interpolation_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupInterpolation
+ */
+
+/**
+ * @defgroup BilinearInterpolate Bilinear Interpolation
+ *
+ * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.
+ * The underlying function f(x, y) is sampled on a regular grid and the interpolation process
+ * determines values between the grid points.
+ * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
+ * Bilinear interpolation is often used in image processing to rescale images.
+ * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
+ *
+ * Algorithm
+ * \par
+ * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
+ * For floating-point, the instance structure is defined as:
+ *
+ * typedef struct
+ * {
+ * uint16_t numRows;
+ * uint16_t numCols;
+ * float16_t *pData;
+ * } arm_bilinear_interp_instance_f16;
+ *
+ *
+ * \par
+ * where numRows specifies the number of rows in the table;
+ * numCols specifies the number of columns in the table;
+ * and pData points to an array of size numRows*numCols values.
+ * The data table pTable is organized in row order and the supplied data values fall on integer indexes.
+ * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers.
+ *
+ * \par
+ * Let (x, y) specify the desired interpolation point. Then define:
+ * + * XF = floor(x) + * YF = floor(y) + *+ * \par + * The interpolated output point is computed as: + *
+ * f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF)) + * + f(XF+1, YF) * (x-XF)*(1-(y-YF)) + * + f(XF, YF+1) * (1-(x-XF))*(y-YF) + * + f(XF+1, YF+1) * (x-XF)*(y-YF) + *+ * Note that the coordinates (x, y) contain integer and fractional components. + * The integer components specify which portion of the table to use while the + * fractional components control the interpolation processor. + * + * \par + * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. + */ + + + /** + * @addtogroup BilinearInterpolate + * @{ + */ + + + /** + * @brief Floating-point bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate. + * @param[in] Y interpolation coordinate. + * @return out interpolated value. + */ + float16_t arm_bilinear_interp_f16( + const arm_bilinear_interp_instance_f16 * S, + float16_t X, + float16_t Y) + { + float16_t out; + float16_t f00, f01, f10, f11; + float16_t *pData = S->pData; + int32_t xIndex, yIndex, index; + float16_t xdiff, ydiff; + float16_t b1, b2, b3, b4; + + xIndex = (int32_t) X; + yIndex = (int32_t) Y; + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (xIndex < 0 || xIndex > (S->numCols - 2) || yIndex < 0 || yIndex > (S->numRows - 2)) + { + return (0); + } + + /* Calculation of index for two nearest points in X-direction */ + index = (xIndex ) + (yIndex ) * S->numCols; + + + /* Read two nearest points in X-direction */ + f00 = pData[index]; + f01 = pData[index + 1]; + + /* Calculation of index for two nearest points in Y-direction */ + index = (xIndex ) + (yIndex+1) * S->numCols; + + + /* Read two nearest points in Y-direction */ + f10 = pData[index]; + f11 = pData[index + 1]; + + /* Calculation of intermediate values */ + b1 = f00; + b2 = (_Float16)f01 - (_Float16)f00; + b3 = (_Float16)f10 - (_Float16)f00; + b4 = (_Float16)f00 - (_Float16)f01 - (_Float16)f10 + (_Float16)f11; + + /* Calculation of fractional part in X */ + xdiff = (_Float16)X - (_Float16)xIndex; + + /* Calculation of fractional part in Y */ + ydiff = (_Float16)Y - (_Float16)yIndex; + + /* Calculation of bi-linear interpolated output */ + out = (_Float16)b1 + (_Float16)b2 * (_Float16)xdiff + + (_Float16)b3 * (_Float16)ydiff + (_Float16)b4 * (_Float16)xdiff * (_Float16)ydiff; + + /* return to application */ + return (out); + } + + /** + * @} end of BilinearInterpolate group + */ + + +#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_f32.c new file mode 100644 index 00000000..fc001d72 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_f32.c @@ -0,0 +1,161 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_bilinear_interp_f32.c + * Description: Floating-point bilinear interpolation + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/interpolation_functions.h" + +/** + @ingroup groupInterpolation + */ + +/** + * @defgroup BilinearInterpolate Bilinear Interpolation + * + * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid. + * The underlying function
f(x, y) is sampled on a regular grid and the interpolation process
+ * determines values between the grid points.
+ * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
+ * Bilinear interpolation is often used in image processing to rescale images.
+ * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
+ *
+ * Algorithm
+ * \par
+ * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
+ * For floating-point, the instance structure is defined as:
+ *
+ * typedef struct
+ * {
+ * uint16_t numRows;
+ * uint16_t numCols;
+ * float32_t *pData;
+ * } arm_bilinear_interp_instance_f32;
+ *
+ *
+ * \par
+ * where numRows specifies the number of rows in the table;
+ * numCols specifies the number of columns in the table;
+ * and pData points to an array of size numRows*numCols values.
+ * The data table pTable is organized in row order and the supplied data values fall on integer indexes.
+ * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers.
+ *
+ * \par
+ * Let (x, y) specify the desired interpolation point. Then define:
+ * + * XF = floor(x) + * YF = floor(y) + *+ * \par + * The interpolated output point is computed as: + *
+ * f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF)) + * + f(XF+1, YF) * (x-XF)*(1-(y-YF)) + * + f(XF, YF+1) * (1-(x-XF))*(y-YF) + * + f(XF+1, YF+1) * (x-XF)*(y-YF) + *+ * Note that the coordinates (x, y) contain integer and fractional components. + * The integer components specify which portion of the table to use while the + * fractional components control the interpolation processor. + * + * \par + * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. + */ + + + /** + * @addtogroup BilinearInterpolate + * @{ + */ + + + /** + * @brief Floating-point bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate. + * @param[in] Y interpolation coordinate. + * @return out interpolated value. + */ + float32_t arm_bilinear_interp_f32( + const arm_bilinear_interp_instance_f32 * S, + float32_t X, + float32_t Y) + { + float32_t out; + float32_t f00, f01, f10, f11; + float32_t *pData = S->pData; + int32_t xIndex, yIndex, index; + float32_t xdiff, ydiff; + float32_t b1, b2, b3, b4; + + xIndex = (int32_t) X; + yIndex = (int32_t) Y; + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (xIndex < 0 || xIndex > (S->numCols - 2) || yIndex < 0 || yIndex > (S->numRows - 2)) + { + return (0); + } + + /* Calculation of index for two nearest points in X-direction */ + index = (xIndex ) + (yIndex ) * S->numCols; + + + /* Read two nearest points in X-direction */ + f00 = pData[index]; + f01 = pData[index + 1]; + + /* Calculation of index for two nearest points in Y-direction */ + index = (xIndex ) + (yIndex+1) * S->numCols; + + + /* Read two nearest points in Y-direction */ + f10 = pData[index]; + f11 = pData[index + 1]; + + /* Calculation of intermediate values */ + b1 = f00; + b2 = f01 - f00; + b3 = f10 - f00; + b4 = f00 - f01 - f10 + f11; + + /* Calculation of fractional part in X */ + xdiff = X - xIndex; + + /* Calculation of fractional part in Y */ + ydiff = Y - yIndex; + + /* Calculation of bi-linear interpolated output */ + out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff; + + /* return to application */ + return (out); + } + + /** + * @} end of BilinearInterpolate group + */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q15.c new file mode 100644 index 00000000..67267366 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q15.c @@ -0,0 +1,121 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_linear_interp_q15.c + * Description: Q15 linear interpolation + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/interpolation_functions.h" + +/** + @ingroup groupInterpolation + */ + +/** + * @addtogroup BilinearInterpolate + * @{ + */ + + /** + * @brief Q15 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + q15_t arm_bilinear_interp_q15( + arm_bilinear_interp_instance_q15 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q15_t x1, x2, y1, y2; /* Nearest output values */ + q31_t xfract, yfract; /* X, Y fractional parts */ + int32_t rI, cI; /* Row and column indices */ + q15_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & 0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */ + + /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */ + /* convert 13.35 to 13.31 by right shifting and out is in 1.31 */ + out = (q31_t) (((q63_t) x1 * (0x0FFFFF - xfract)) >> 4U); + acc = ((q63_t) out * (0x0FFFFF - yfract)); + + /* x2 * (xfract) * (1-yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) x2 * (0x0FFFFF - yfract)) >> 4U); + acc += ((q63_t) out * (xfract)); + + /* y1 * (1 - xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y1 * (0x0FFFFF - xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* y2 * (xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y2 * (xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* acc is in 13.51 format and down shift acc by 36 times */ + /* Convert out to 1.15 format */ + return ((q15_t)(acc >> 36)); + } + + + /** + * @} end of BilinearInterpolate group + */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q31.c new file mode 100644 index 00000000..cc8560ec --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q31.c @@ -0,0 +1,119 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_linear_interp_q31.c + * Description: Q31 linear interpolation + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/interpolation_functions.h" + +/** + @ingroup groupInterpolation + */ + + +/** + * @addtogroup BilinearInterpolate + * @{ + */ + + /** + * @brief Q31 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + q31_t arm_bilinear_interp_q31( + arm_bilinear_interp_instance_q31 * S, + q31_t X, + q31_t Y) + { + q31_t out; /* Temporary output */ + q31_t acc = 0; /* output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q31_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q31_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* shift left xfract by 11 to keep 1.31 format */ + xfract = (X & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + (int32_t)nCols * (cI) ]; + x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1]; + + /* 20 bits for the fractional part */ + /* shift left yfract by 11 to keep 1.31 format */ + yfract = (Y & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + (int32_t)nCols * (cI + 1) ]; + y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */ + out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32)); + acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32)); + + /* x2 * (xfract) * (1-yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (xfract) >> 32)); + + /* y1 * (1 - xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* y2 * (xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y2 * (xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* Convert acc to 1.31(q31) format */ + return ((q31_t)(acc << 2)); + } + + + + /** + * @} end of BilinearInterpolate group + */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q7.c new file mode 100644 index 00000000..204342e3 --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_bilinear_interp_q7.c @@ -0,0 +1,117 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_linear_interp_q7.c + * Description: Q7 linear interpolation + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/interpolation_functions.h" + +/** + @ingroup groupInterpolation + */ + + +/** + * @addtogroup BilinearInterpolate + * @{ + */ + +/** + * @brief Q7 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + q7_t arm_bilinear_interp_q7( + arm_bilinear_interp_instance_q7 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q7_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q7_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */ + out = ((x1 * (0xFFFFF - xfract))); + acc = (((q63_t) out * (0xFFFFF - yfract))); + + /* x2 * (xfract) * (1-yfract) in 2.22 and adding to acc */ + out = ((x2 * (0xFFFFF - yfract))); + acc += (((q63_t) out * (xfract))); + + /* y1 * (1 - xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y1 * (0xFFFFF - xfract))); + acc += (((q63_t) out * (yfract))); + + /* y2 * (xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y2 * (yfract))); + acc += (((q63_t) out * (xfract))); + + /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */ + return ((q7_t)(acc >> 40)); + } + + /** + * @} end of BilinearInterpolate group + */ + diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_f16.c new file mode 100644 index 00000000..f4ae1e1e --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_f16.c @@ -0,0 +1,132 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_linear_interp_f16.c + * Description: Floating-point linear interpolation + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/interpolation_functions_f16.h" + +#if defined(ARM_FLOAT16_SUPPORTED) + + +/** + @ingroup groupInterpolation + */ + +/** + * @defgroup LinearInterpolate Linear Interpolation + * + * Linear interpolation is a method of curve fitting using linear polynomials. + * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line + * + * \par + * \image html LinearInterp.gif "Linear interpolation" + * + * \par + * A Linear Interpolate function calculates an output value(y), for the input(x) + * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values) + * + * \par Algorithm: + *
+ * y = y0 + (x - x0) * ((y1 - y0)/(x1-x0)) + * where x0, x1 are nearest values of input x + * y0, y1 are nearest values to output y + *+ * + * \par + * This set of functions implements Linear interpolation process + * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single + * sample of data and each call to the function returns a single processed value. + *
S points to an instance of the Linear Interpolate function data structure.
+ * x is the input sample value. The functions returns the output value.
+ *
+ * \par
+ * if x is outside of the table boundary, Linear interpolation returns first value of the table
+ * if x is below input range and returns last value of table if x is above range.
+ */
+
+/**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Process function for the floating-point Linear Interpolation Function.
+ * @param[in,out] S is an instance of the floating-point Linear Interpolation structure
+ * @param[in] x input sample to process
+ * @return y processed output sample.
+ *
+ */
+ float16_t arm_linear_interp_f16(
+ arm_linear_interp_instance_f16 * S,
+ float16_t x)
+ {
+ float16_t y;
+ float16_t x0, x1; /* Nearest input values */
+ float16_t y0, y1; /* Nearest output values */
+ float16_t xSpacing = S->xSpacing; /* spacing between input values */
+ int32_t i; /* Index variable */
+ float16_t *pYData = S->pYData; /* pointer to output table */
+
+ /* Calculation of index */
+ i = (int32_t) (((_Float16)x - (_Float16)S->x1) / (_Float16)xSpacing);
+
+ if (i < 0)
+ {
+ /* Iniatilize output for below specified range as least output value of table */
+ y = pYData[0];
+ }
+ else if ((uint32_t)i >= (S->nValues - 1))
+ {
+ /* Iniatilize output for above specified range as last output value of table */
+ y = pYData[S->nValues - 1];
+ }
+ else
+ {
+ /* Calculation of nearest input values */
+ x0 = (_Float16)S->x1 + (_Float16)i * (_Float16)xSpacing;
+ x1 = (_Float16)S->x1 + (_Float16)(i + 1) * (_Float16)xSpacing;
+
+ /* Read of nearest output values */
+ y0 = pYData[i];
+ y1 = pYData[i + 1];
+
+ /* Calculation of output */
+ y = (_Float16)y0 + ((_Float16)x - (_Float16)x0) *
+ (((_Float16)y1 - (_Float16)y0) / ((_Float16)x1 - (_Float16)x0));
+
+ }
+
+ /* returns output value */
+ return (y);
+ }
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_f32.c
new file mode 100644
index 00000000..fc60bec4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_f32.c
@@ -0,0 +1,125 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_linear_interp_f32.c
+ * Description: Floating-point linear interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/interpolation_functions.h"
+
+/**
+ @ingroup groupInterpolation
+ */
+
+/**
+ * @defgroup LinearInterpolate Linear Interpolation
+ *
+ * Linear interpolation is a method of curve fitting using linear polynomials.
+ * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line
+ *
+ * \par
+ * \image html LinearInterp.gif "Linear interpolation"
+ *
+ * \par
+ * A Linear Interpolate function calculates an output value(y), for the input(x)
+ * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)
+ *
+ * \par Algorithm:
+ * + * y = y0 + (x - x0) * ((y1 - y0)/(x1-x0)) + * where x0, x1 are nearest values of input x + * y0, y1 are nearest values to output y + *+ * + * \par + * This set of functions implements Linear interpolation process + * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single + * sample of data and each call to the function returns a single processed value. + *
S points to an instance of the Linear Interpolate function data structure.
+ * x is the input sample value. The functions returns the output value.
+ *
+ * \par
+ * if x is outside of the table boundary, Linear interpolation returns first value of the table
+ * if x is below input range and returns last value of table if x is above range.
+ */
+
+/**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Process function for the floating-point Linear Interpolation Function.
+ * @param[in,out] S is an instance of the floating-point Linear Interpolation structure
+ * @param[in] x input sample to process
+ * @return y processed output sample.
+ *
+ */
+ float32_t arm_linear_interp_f32(
+ arm_linear_interp_instance_f32 * S,
+ float32_t x)
+ {
+ float32_t y;
+ float32_t x0, x1; /* Nearest input values */
+ float32_t y0, y1; /* Nearest output values */
+ float32_t xSpacing = S->xSpacing; /* spacing between input values */
+ int32_t i; /* Index variable */
+ float32_t *pYData = S->pYData; /* pointer to output table */
+
+ /* Calculation of index */
+ i = (int32_t) ((x - S->x1) / xSpacing);
+
+ if (i < 0)
+ {
+ /* Iniatilize output for below specified range as least output value of table */
+ y = pYData[0];
+ }
+ else if ((uint32_t)i >= (S->nValues - 1))
+ {
+ /* Iniatilize output for above specified range as last output value of table */
+ y = pYData[S->nValues - 1];
+ }
+ else
+ {
+ /* Calculation of nearest input values */
+ x0 = S->x1 + i * xSpacing;
+ x1 = S->x1 + (i + 1) * xSpacing;
+
+ /* Read of nearest output values */
+ y0 = pYData[i];
+ y1 = pYData[i + 1];
+
+ /* Calculation of output */
+ y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));
+
+ }
+
+ /* returns output value */
+ return (y);
+ }
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q15.c
new file mode 100644
index 00000000..e6339f30
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q15.c
@@ -0,0 +1,101 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_linear_interp_q15.c
+ * Description: Q15 linear interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/interpolation_functions.h"
+
+/**
+ @ingroup groupInterpolation
+ */
+
+/**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ *
+ * @brief Process function for the Q15 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q15 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ q15_t arm_linear_interp_q15(
+ const q15_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q63_t y; /* output */
+ q15_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ int32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ index = ((x & (int32_t)0xFFF00000) >> 20);
+
+ if (index >= (int32_t)(nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else if (index < 0)
+ {
+ return (pYData[0]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* fract is in 12.20 format */
+ fract = (x & 0x000FFFFF);
+
+ /* Read two nearest output values from the index */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract) and y is in 13.35 format */
+ y = ((q63_t) y0 * (0xFFFFF - fract));
+
+ /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */
+ y += ((q63_t) y1 * (fract));
+
+ /* convert y to 1.15 format */
+ return (q15_t) (y >> 20);
+ }
+ }
+
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q31.c
new file mode 100644
index 00000000..f0c75604
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q31.c
@@ -0,0 +1,103 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_linear_interp_q31.c
+ * Description: Q31 linear interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/interpolation_functions.h"
+
+/**
+ @ingroup groupInterpolation
+ */
+
+
+/**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ *
+ * @brief Process function for the Q31 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q31 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ q31_t arm_linear_interp_q31(
+ const q31_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q31_t y; /* output */
+ q31_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ int32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ index = ((x & (q31_t)0xFFF00000) >> 20);
+
+ if (index >= (int32_t)(nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else if (index < 0)
+ {
+ return (pYData[0]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* shift left by 11 to keep fract in 1.31 format */
+ fract = (x & 0x000FFFFF) << 11;
+
+ /* Read two nearest output values from the index in 1.31(q31) format */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract) and y is in 2.30 format */
+ y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
+
+ /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */
+ y += ((q31_t) (((q63_t) y1 * fract) >> 32));
+
+ /* Convert y to 1.31 format */
+ return (y << 1U);
+ }
+ }
+
+
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q7.c
new file mode 100644
index 00000000..8d154325
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_linear_interp_q7.c
@@ -0,0 +1,99 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_linear_interp_q7.c
+ * Description: Q7 linear interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/interpolation_functions.h"
+
+/**
+ @ingroup groupInterpolation
+ */
+
+
+/**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ *
+ * @brief Process function for the Q7 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q7 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ */
+ q7_t arm_linear_interp_q7(
+ const q7_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q31_t y; /* output */
+ q7_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ uint32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ if (x < 0)
+ {
+ return (pYData[0]);
+ }
+ index = (x >> 20) & 0xfff;
+
+ if (index >= (nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* fract is in 12.20 format */
+ fract = (x & 0x000FFFFF);
+
+ /* Read two nearest output values from the index and are in 1.7(q7) format */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
+ y = ((y0 * (0xFFFFF - fract)));
+
+ /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */
+ y += (y1 * fract);
+
+ /* convert y to 1.7(q7) format */
+ return (q7_t) (y >> 20);
+ }
+ }
+ /**
+ * @} end of LinearInterpolate group
+ */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_spline_interp_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_spline_interp_f32.c
new file mode 100644
index 00000000..3e3d0918
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/InterpolationFunctions/arm_spline_interp_f32.c
@@ -0,0 +1,283 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_spline_interp_f32.c
+ * Description: Floating-point cubic spline interpolation
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/interpolation_functions.h"
+
+/**
+ @ingroup groupInterpolation
+ */
+
+/**
+ @defgroup SplineInterpolate Cubic Spline Interpolation
+
+ Spline interpolation is a method of interpolation where the interpolant
+ is a piecewise-defined polynomial called "spline".
+
+ @par Introduction
+
+ Given a function f defined on the interval [a,b], a set of n nodes x(i)
+ where a=x(1)+ Si(x) = a_i+b_i(x-xi)+c_i(x-xi)^2+d_i(x-xi)^3 i=1, ..., n-1 ++ + @par Algorithm + + Having defined h(i) = x(i+1) - x(i) + +
+ h(i-1)c(i-1)+2[h(i-1)+h(i)]c(i)+h(i)c(i+1) = 3/h(i)*[a(i+1)-a(i)]-3/h(i-1)*[a(i)-a(i-1)] i=2, ..., n-1 ++ + It is possible to write the previous conditions in matrix form (Ax=B). + In order to solve the system two boundary conidtions are needed. + - Natural spline: S1''(x1)=2*c(1)=0 ; Sn''(xn)=2*c(n)=0 + In matrix form: + +
+ | 1 0 0 ... 0 0 0 || c(1) | | 0 | + | h(0) 2[h(0)+h(1)] h(1) ... 0 0 0 || c(2) | | 3/h(2)*[a(3)-a(2)]-3/h(1)*[a(2)-a(1)] | + | ... ... ... ... ... ... ... || ... |=| ... | + | 0 0 0 ... h(n-2) 2[h(n-2)+h(n-1)] h(n-1) || c(n-1) | | 3/h(n-1)*[a(n)-a(n-1)]-3/h(n-2)*[a(n-1)-a(n-2)] | + | 0 0 0 ... 0 0 1 || c(n) | | 0 | ++ + - Parabolic runout spline: S1''(x1)=2*c(1)=S2''(x2)=2*c(2) ; Sn-1''(xn-1)=2*c(n-1)=Sn''(xn)=2*c(n) + In matrix form: + +
+ | 1 -1 0 ... 0 0 0 || c(1) | | 0 | + | h(0) 2[h(0)+h(1)] h(1) ... 0 0 0 || c(2) | | 3/h(2)*[a(3)-a(2)]-3/h(1)*[a(2)-a(1)] | + | ... ... ... ... ... ... ... || ... |=| ... | + | 0 0 0 ... h(n-2) 2[h(n-2)+h(n-1)] h(n-1) || c(n-1) | | 3/h(n-1)*[a(n)-a(n-1)]-3/h(n-2)*[a(n-1)-a(n-2)] | + | 0 0 0 ... 0 -1 1 || c(n) | | 0 | ++ + A is a tridiagonal matrix (a band matrix of bandwidth 3) of size N=n+1. The factorization + algorithms (A=LU) can be simplified considerably because a large number of zeros appear + in regular patterns. The Crout method has been used: + 1) Solve LZ=B + +
+ u(1,2) = A(1,2)/A(1,1) + z(1) = B(1)/l(11) + + FOR i=2, ..., N-1 + l(i,i) = A(i,i)-A(i,i-1)u(i-1,i) + u(i,i+1) = a(i,i+1)/l(i,i) + z(i) = [B(i)-A(i,i-1)z(i-1)]/l(i,i) + + l(N,N) = A(N,N)-A(N,N-1)u(N-1,N) + z(N) = [B(N)-A(N,N-1)z(N-1)]/l(N,N) ++ + 2) Solve UX=Z + +
+ c(N)=z(N) + + FOR i=N-1, ..., 1 + c(i)=z(i)-u(i,i+1)c(i+1) ++ + c(i) for i=1, ..., n-1 are needed to compute the n-1 polynomials. + b(i) and d(i) are computed as: + - b(i) = [y(i+1)-y(i)]/h(i)-h(i)*[c(i+1)+2*c(i)]/3 + - d(i) = [c(i+1)-c(i)]/[3*h(i)] + Moreover, a(i)=y(i). + + @par Behaviour outside the given intervals + + It is possible to compute the interpolated vector for x values outside the + input range (xq
coeffs will contain the b, c, and d coefficients for the (n-1) intervals
+ (n is the number of known points), hence its size must be 3*(n-1); tempBuffer
+ is temporally used for internal computations and its size is n+n-1.
+
+ @par
+
+ The x input array must be strictly sorted in ascending order and it must
+ not contain twice the same value (x(i)pSrcA, pSrcB, and pDst have the same
+ number of rows and columns.
+ */
+
+/**
+ @addtogroup MatrixAdd
+ @{
+ */
+
+
+/**
+ @brief Floating-point matrix addition.
+ @param[in] pSrcA points to first input matrix structure
+ @param[in] pSrcB points to second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ arm_status status;
+ uint32_t numSamples; /* total number of elements in the matrix */
+ float32_t *pDataA, *pDataB, *pDataDst;
+ f32x4_t vecA, vecB, vecDst;
+ float32_t const *pSrcAVec;
+ float32_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (float32_t const *) pDataA;
+ pSrcBVec = (float32_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vaddq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ vecDst = vaddq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+ return (status);
+}
+#else
+#if defined(ARM_MATH_NEON)
+/*
+
+Neon version is assuming the matrix is small enough.
+So no blocking is used for taking into account cache effects.
+For big matrix, there exist better libraries for Neon.
+
+*/
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif
+ {
+ float32x4_t vec1;
+ float32x4_t vec2;
+ float32x4_t res;
+
+ /* Total number of samples in the input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+ blkCnt = numSamples >> 2U;
+
+ /* Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vec1 = vld1q_f32(pIn1);
+ vec2 = vld1q_f32(pIn2);
+ res = vaddq_f32(vec1, vec2);
+ vst1q_f32(pOut, res);
+
+ /* update pointers to process next samples */
+ pIn1 += 4U;
+ pIn2 += 4U;
+ pOut += 4U;
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ *pOut++ = (*pIn1++) + (*pIn2++);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add and store result in destination buffer. */
+ *pOut++ = *pInA++ + *pInB++;
+
+ *pOut++ = *pInA++ + *pInB++;
+
+ *pOut++ = *pInA++ + *pInB++;
+
+ *pOut++ = *pInA++ + *pInB++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add and store result in destination buffer. */
+ *pOut++ = *pInA++ + *pInB++;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixAdd group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c
new file mode 100644
index 00000000..e27b72fa
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c
@@ -0,0 +1,227 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_add_q15.c
+ * Description: Q15 matrix addition
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixAdd
+ @{
+ */
+
+/**
+ @brief Q15 matrix addition.
+ @param[in] pSrcA points to first input matrix structure
+ @param[in] pSrcB points to second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_add_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q15_t *pDataA, *pDataB, *pDataDst;
+ q15x8_t vecA, vecB, vecDst;
+ q15_t const *pSrcAVec;
+ q15_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q15_t const *) pDataA;
+ pSrcBVec = (q15_t const *) pDataB;
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqaddq(vecA, vecB);
+ vst1q(pDataDst, vecDst); pDataDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqaddq_m(vecDst, vecA, vecB, p0);
+ vstrhq_p(pDataDst, vecDst, p0);
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_add_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+
+ write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++);
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixAdd group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c
new file mode 100644
index 00000000..57f67e71
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c
@@ -0,0 +1,216 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_add_q31.c
+ * Description: Q31 matrix addition
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixAdd
+ @{
+ */
+
+/**
+ @brief Q31 matrix addition.
+ @param[in] pSrcA points to first input matrix structure
+ @param[in] pSrcB points to second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_add_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ arm_status status; /* status of matrix addition */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q31_t *pDataA, *pDataB, *pDataDst;
+ q31x4_t vecA, vecB, vecDst;
+ q31_t const *pSrcAVec;
+ q31_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q31_t const *) pDataA;
+ pSrcBVec = (q31_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* Add and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqaddq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqaddq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_add_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+
+ /* Add, saturate and store result in destination buffer. */
+ *pOut++ = __QADD(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixAdd group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f16.c
new file mode 100644
index 00000000..9c8acef6
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f16.c
@@ -0,0 +1,256 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cholesky_f16.c
+ * Description: Floating-point Cholesky decomposition
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixChol
+ @{
+ */
+
+/**
+ * @brief Floating-point Cholesky decomposition of positive-definite matrix.
+ * @param[in] pSrc points to the instance of the input floating-point matrix structure.
+ * @param[out] pDst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_DECOMPOSITION_FAILURE : Input matrix cannot be decomposed
+ * @par
+ * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+ * The decomposition of A is returning a lower triangular matrix U such that A = U U^t
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_cholesky_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ int i,j,k;
+ int n = pSrc->numRows;
+ _Float16 invSqrtVj;
+ float16_t *pA,*pG;
+ int kCnt;
+
+ mve_pred16_t p0;
+
+ f16x8_t acc, acc0, acc1, acc2, acc3;
+ f16x8_t vecGi;
+ f16x8_t vecGj,vecGj0,vecGj1,vecGj2,vecGj3;
+
+
+ pA = pSrc->pData;
+ pG = pDst->pData;
+
+ for(i=0 ;i < n ; i++)
+ {
+ for(j=i ; j+3 < n ; j+=4)
+ {
+ acc0 = vdupq_n_f16(0.0f16);
+ acc0[0]=pA[(j + 0) * n + i];
+
+ acc1 = vdupq_n_f16(0.0f16);
+ acc1[0]=pA[(j + 1) * n + i];
+
+ acc2 = vdupq_n_f16(0.0f16);
+ acc2[0]=pA[(j + 2) * n + i];
+
+ acc3 = vdupq_n_f16(0.0f16);
+ acc3[0]=pA[(j + 3) * n + i];
+
+ kCnt = i;
+ for(k=0; k < i ; k+=8)
+ {
+ p0 = vctp16q(kCnt);
+
+ vecGi=vldrhq_z_f16(&pG[i * n + k],p0);
+
+ vecGj0=vldrhq_z_f16(&pG[(j + 0) * n + k],p0);
+ vecGj1=vldrhq_z_f16(&pG[(j + 1) * n + k],p0);
+ vecGj2=vldrhq_z_f16(&pG[(j + 2) * n + k],p0);
+ vecGj3=vldrhq_z_f16(&pG[(j + 3) * n + k],p0);
+
+ acc0 = vfmsq_m(acc0, vecGi, vecGj0, p0);
+ acc1 = vfmsq_m(acc1, vecGi, vecGj1, p0);
+ acc2 = vfmsq_m(acc2, vecGi, vecGj2, p0);
+ acc3 = vfmsq_m(acc3, vecGi, vecGj3, p0);
+
+ kCnt -= 8;
+ }
+ pG[(j + 0) * n + i] = vecAddAcrossF16Mve(acc0);
+ pG[(j + 1) * n + i] = vecAddAcrossF16Mve(acc1);
+ pG[(j + 2) * n + i] = vecAddAcrossF16Mve(acc2);
+ pG[(j + 3) * n + i] = vecAddAcrossF16Mve(acc3);
+ }
+
+ for(; j < n ; j++)
+ {
+
+ kCnt = i;
+ acc = vdupq_n_f16(0.0f16);
+ acc[0] = pA[j * n + i];
+
+ for(k=0; k < i ; k+=8)
+ {
+ p0 = vctp16q(kCnt);
+
+ vecGi=vldrhq_z_f16(&pG[i * n + k],p0);
+ vecGj=vldrhq_z_f16(&pG[j * n + k],p0);
+
+ acc = vfmsq_m(acc, vecGi, vecGj,p0);
+
+ kCnt -= 8;
+ }
+ pG[j * n + i] = vecAddAcrossF16Mve(acc);
+ }
+
+ if ((_Float16)pG[i * n + i] <= 0.0f16)
+ {
+ return(ARM_MATH_DECOMPOSITION_FAILURE);
+ }
+
+ invSqrtVj = 1.0f16/(_Float16)sqrtf((float32_t)pG[i * n + i]);
+ for(j=i; j < n ; j++)
+ {
+ pG[j * n + i] = (_Float16)pG[j * n + i] * (_Float16)invSqrtVj ;
+ }
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_cholesky_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ int i,j,k;
+ int n = pSrc->numRows;
+ float16_t invSqrtVj;
+ float16_t *pA,*pG;
+
+ pA = pSrc->pData;
+ pG = pDst->pData;
+
+
+ for(i=0 ; i < n ; i++)
+ {
+ for(j=i ; j < n ; j++)
+ {
+ pG[j * n + i] = pA[j * n + i];
+
+ for(k=0; k < i ; k++)
+ {
+ pG[j * n + i] = (_Float16)pG[j * n + i] - (_Float16)pG[i * n + k] * (_Float16)pG[j * n + k];
+ }
+ }
+
+ if ((_Float16)pG[i * n + i] <= 0.0f16)
+ {
+ return(ARM_MATH_DECOMPOSITION_FAILURE);
+ }
+
+ /* The division is done in float32 for accuracy reason and
+ because doing it in f16 would not have any impact on the performances.
+ */
+ invSqrtVj = 1.0f/sqrtf((float32_t)pG[i * n + i]);
+ for(j=i ; j < n ; j++)
+ {
+ pG[j * n + i] = (_Float16)pG[j * n + i] * (_Float16)invSqrtVj ;
+ }
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixChol group
+ */
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f32.c
new file mode 100644
index 00000000..94b96895
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f32.c
@@ -0,0 +1,438 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cholesky_f32.c
+ * Description: Floating-point Cholesky decomposition
+ *
+ * $Date: 05 October 2021
+ * $Revision: V1.9.1
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixChol Cholesky and LDLT decompositions
+
+ Computes the Cholesky or LDL^t decomposition of a matrix.
+
+
+ If the input matrix does not have a decomposition, then the
+ algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+ */
+
+/**
+ @addtogroup MatrixChol
+ @{
+ */
+
+/**
+ * @brief Floating-point Cholesky decomposition of positive-definite matrix.
+ * @param[in] pSrc points to the instance of the input floating-point matrix structure.
+ * @param[out] pDst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_DECOMPOSITION_FAILURE : Input matrix cannot be decomposed
+ * @par
+ * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+ * The decomposition of A is returning a lower triangular matrix U such that A = U U^t
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_cholesky_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ int i,j,k;
+ int n = pSrc->numRows;
+ float32_t invSqrtVj;
+ float32_t *pA,*pG;
+ int kCnt;
+
+ mve_pred16_t p0;
+
+ f32x4_t acc, acc0, acc1, acc2, acc3;
+ f32x4_t vecGi;
+ f32x4_t vecGj,vecGj0,vecGj1,vecGj2,vecGj3;
+
+
+ pA = pSrc->pData;
+ pG = pDst->pData;
+
+ for(i=0 ;i < n ; i++)
+ {
+ for(j=i ; j+3 < n ; j+=4)
+ {
+ pG[(j + 0) * n + i] = pA[(j + 0) * n + i];
+ pG[(j + 1) * n + i] = pA[(j + 1) * n + i];
+ pG[(j + 2) * n + i] = pA[(j + 2) * n + i];
+ pG[(j + 3) * n + i] = pA[(j + 3) * n + i];
+
+ kCnt = i;
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ acc2 = vdupq_n_f32(0.0f);
+ acc3 = vdupq_n_f32(0.0f);
+
+ for(k=0; k < i ; k+=4)
+ {
+ p0 = vctp32q(kCnt);
+
+ vecGi=vldrwq_z_f32(&pG[i * n + k],p0);
+
+ vecGj0=vldrwq_z_f32(&pG[(j + 0) * n + k],p0);
+ vecGj1=vldrwq_z_f32(&pG[(j + 1) * n + k],p0);
+ vecGj2=vldrwq_z_f32(&pG[(j + 2) * n + k],p0);
+ vecGj3=vldrwq_z_f32(&pG[(j + 3) * n + k],p0);
+
+ acc0 = vfmaq_m(acc0, vecGi, vecGj0, p0);
+ acc1 = vfmaq_m(acc1, vecGi, vecGj1, p0);
+ acc2 = vfmaq_m(acc2, vecGi, vecGj2, p0);
+ acc3 = vfmaq_m(acc3, vecGi, vecGj3, p0);
+
+ kCnt -= 4;
+ }
+ pG[(j + 0) * n + i] -= vecAddAcrossF32Mve(acc0);
+ pG[(j + 1) * n + i] -= vecAddAcrossF32Mve(acc1);
+ pG[(j + 2) * n + i] -= vecAddAcrossF32Mve(acc2);
+ pG[(j + 3) * n + i] -= vecAddAcrossF32Mve(acc3);
+ }
+
+ for(; j < n ; j++)
+ {
+ pG[j * n + i] = pA[j * n + i];
+
+ kCnt = i;
+ acc = vdupq_n_f32(0.0f);
+
+ for(k=0; k < i ; k+=4)
+ {
+ p0 = vctp32q(kCnt);
+
+ vecGi=vldrwq_z_f32(&pG[i * n + k],p0);
+ vecGj=vldrwq_z_f32(&pG[j * n + k],p0);
+
+ acc = vfmaq_m(acc, vecGi, vecGj,p0);
+
+ kCnt -= 4;
+ }
+ pG[j * n + i] -= vecAddAcrossF32Mve(acc);
+ }
+
+ if (pG[i * n + i] <= 0.0f)
+ {
+ return(ARM_MATH_DECOMPOSITION_FAILURE);
+ }
+
+ invSqrtVj = 1.0f/sqrtf(pG[i * n + i]);
+ for(j=i; j < n ; j++)
+ {
+ pG[j * n + i] = pG[j * n + i] * invSqrtVj ;
+ }
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_cholesky_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ int i,j,k;
+ int n = pSrc->numRows;
+ float32_t invSqrtVj;
+ float32_t *pA,*pG;
+ int kCnt;
+
+
+ f32x4_t acc, acc0, acc1, acc2, acc3;
+ f32x4_t vecGi;
+ f32x4_t vecGj,vecGj0,vecGj1,vecGj2,vecGj3;
+#if !defined(__aarch64__)
+ f32x2_t tmp = vdup_n_f32(0);
+#endif
+ float32_t sum=0.0f;
+ float32_t sum0=0.0f,sum1=0.0f,sum2=0.0f,sum3=0.0f;
+
+
+ pA = pSrc->pData;
+ pG = pDst->pData;
+
+ for(i=0 ;i < n ; i++)
+ {
+ for(j=i ; j+3 < n ; j+=4)
+ {
+ pG[(j + 0) * n + i] = pA[(j + 0) * n + i];
+ pG[(j + 1) * n + i] = pA[(j + 1) * n + i];
+ pG[(j + 2) * n + i] = pA[(j + 2) * n + i];
+ pG[(j + 3) * n + i] = pA[(j + 3) * n + i];
+
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ acc2 = vdupq_n_f32(0.0f);
+ acc3 = vdupq_n_f32(0.0f);
+
+ kCnt = i >> 2;
+ k=0;
+ while(kCnt > 0)
+ {
+
+ vecGi=vld1q_f32(&pG[i * n + k]);
+
+ vecGj0=vld1q_f32(&pG[(j + 0) * n + k]);
+ vecGj1=vld1q_f32(&pG[(j + 1) * n + k]);
+ vecGj2=vld1q_f32(&pG[(j + 2) * n + k]);
+ vecGj3=vld1q_f32(&pG[(j + 3) * n + k]);
+
+ acc0 = vfmaq_f32(acc0, vecGi, vecGj0);
+ acc1 = vfmaq_f32(acc1, vecGi, vecGj1);
+ acc2 = vfmaq_f32(acc2, vecGi, vecGj2);
+ acc3 = vfmaq_f32(acc3, vecGi, vecGj3);
+
+ kCnt--;
+ k+=4;
+ }
+
+#if defined(__aarch64__)
+ sum0 = vpadds_f32(vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0)));
+ sum1 = vpadds_f32(vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1)));
+ sum2 = vpadds_f32(vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2)));
+ sum3 = vpadds_f32(vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3)));
+
+#else
+ tmp = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
+ sum0 = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1);
+
+ tmp = vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1));
+ sum1 = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1);
+
+ tmp = vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2));
+ sum2 = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1);
+
+ tmp = vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3));
+ sum3 = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1);
+#endif
+
+ kCnt = i & 3;
+ while(kCnt > 0)
+ {
+
+ sum0 = sum0 + pG[i * n + k] * pG[(j + 0) * n + k];
+ sum1 = sum1 + pG[i * n + k] * pG[(j + 1) * n + k];
+ sum2 = sum2 + pG[i * n + k] * pG[(j + 2) * n + k];
+ sum3 = sum3 + pG[i * n + k] * pG[(j + 3) * n + k];
+ kCnt--;
+ k++;
+ }
+
+ pG[(j + 0) * n + i] -= sum0;
+ pG[(j + 1) * n + i] -= sum1;
+ pG[(j + 2) * n + i] -= sum2;
+ pG[(j + 3) * n + i] -= sum3;
+ }
+
+ for(; j < n ; j++)
+ {
+ pG[j * n + i] = pA[j * n + i];
+
+ acc = vdupq_n_f32(0.0f);
+
+ kCnt = i >> 2;
+ k=0;
+ while(kCnt > 0)
+ {
+
+ vecGi=vld1q_f32(&pG[i * n + k]);
+ vecGj=vld1q_f32(&pG[j * n + k]);
+
+ acc = vfmaq_f32(acc, vecGi, vecGj);
+
+ kCnt--;
+ k+=4;
+ }
+
+#if defined(__aarch64__)
+ sum = vpadds_f32(vpadd_f32(vget_low_f32(acc), vget_high_f32(acc)));
+#else
+ tmp = vpadd_f32(vget_low_f32(acc), vget_high_f32(acc));
+ sum = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1);
+#endif
+
+ kCnt = i & 3;
+ while(kCnt > 0)
+ {
+ sum = sum + pG[i * n + k] * pG[(j + 0) * n + k];
+
+
+ kCnt--;
+ k++;
+ }
+
+ pG[j * n + i] -= sum;
+ }
+
+ if (pG[i * n + i] <= 0.0f)
+ {
+ return(ARM_MATH_DECOMPOSITION_FAILURE);
+ }
+
+ invSqrtVj = 1.0f/sqrtf(pG[i * n + i]);
+ for(j=i; j < n ; j++)
+ {
+ pG[j * n + i] = pG[j * n + i] * invSqrtVj ;
+ }
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_cholesky_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ int i,j,k;
+ int n = pSrc->numRows;
+ float32_t invSqrtVj;
+ float32_t *pA,*pG;
+
+ pA = pSrc->pData;
+ pG = pDst->pData;
+
+
+ for(i=0 ; i < n ; i++)
+ {
+ for(j=i ; j < n ; j++)
+ {
+ pG[j * n + i] = pA[j * n + i];
+
+ for(k=0; k < i ; k++)
+ {
+ pG[j * n + i] = pG[j * n + i] - pG[i * n + k] * pG[j * n + k];
+ }
+ }
+
+ if (pG[i * n + i] <= 0.0f)
+ {
+ return(ARM_MATH_DECOMPOSITION_FAILURE);
+ }
+
+ invSqrtVj = 1.0f/sqrtf(pG[i * n + i]);
+ for(j=i ; j < n ; j++)
+ {
+ pG[j * n + i] = pG[j * n + i] * invSqrtVj ;
+ }
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixChol group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f64.c
new file mode 100644
index 00000000..4e095d06
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cholesky_f64.c
@@ -0,0 +1,122 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cholesky_f64.c
+ * Description: Floating-point Cholesky decomposition
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixChol
+ @{
+ */
+
+/**
+ * @brief Floating-point Cholesky decomposition of positive-definite matrix.
+ * @param[in] pSrc points to the instance of the input floating-point matrix structure.
+ * @param[out] pDst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_DECOMPOSITION_FAILURE : Input matrix cannot be decomposed
+ * @par
+ * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+ * The decomposition of A is returning a lower triangular matrix U such that A = U U^t
+ */
+
+
+arm_status arm_mat_cholesky_f64(
+ const arm_matrix_instance_f64 * pSrc,
+ arm_matrix_instance_f64 * pDst)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ int i,j,k;
+ int n = pSrc->numRows;
+ float64_t invSqrtVj;
+ float64_t *pA,*pG;
+
+ pA = pSrc->pData;
+ pG = pDst->pData;
+
+
+ for(i=0 ; i < n ; i++)
+ {
+ for(j=i ; j < n ; j++)
+ {
+ pG[j * n + i] = pA[j * n + i];
+
+ for(k=0; k < i ; k++)
+ {
+ pG[j * n + i] = pG[j * n + i] - pG[i * n + k] * pG[j * n + k];
+ }
+ }
+
+ if (pG[i * n + i] <= 0.0)
+ {
+ return(ARM_MATH_DECOMPOSITION_FAILURE);
+ }
+
+ invSqrtVj = 1.0/sqrt(pG[i * n + i]);
+ for(j=i ; j < n ; j++)
+ {
+ pG[j * n + i] = pG[j * n + i] * invSqrtVj ;
+ }
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixChol group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f16.c
new file mode 100644
index 00000000..f5666962
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f16.c
@@ -0,0 +1,935 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_mult_f16.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Floating-point Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) && defined(__CMSIS_GCC_H)
+#pragma GCC warning "Scalar version of arm_mat_cmplx_mult_f16 built. Helium version has build issues with gcc."
+#endif
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) && !defined(__CMSIS_GCC_H)
+
+#include "arm_helium_utils.h"
+
+#define DONTCARE 0 /* inactive lane content */
+
+
+__STATIC_FORCEINLINE arm_status arm_mat_cmplx_mult_f16_2x2_mve(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+#define MATRIX_DIM 2
+ float16_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float16_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs0,vecColAOffs0,vecColAOffs1;
+ float16_t *pInA0 = pInA;
+ f16x8_t acc0, acc1;
+ f16x8_t vecB, vecA0, vecA1;
+ f16x8_t vecTmp;
+ uint16_t tmp;
+ static const uint16_t offsetB0[8] = { 0, 1,
+ MATRIX_DIM * CMPLX_DIM, MATRIX_DIM * CMPLX_DIM + 1,
+ 2, 3,
+ MATRIX_DIM * CMPLX_DIM + 2 , MATRIX_DIM * CMPLX_DIM + 3,
+ };
+
+
+ vecColBOffs0 = vldrhq_u16((uint16_t const *) offsetB0);
+
+ tmp = 0;
+ vecColAOffs0 = viwdupq_u16(tmp, 4, 1);
+
+ tmp = (CMPLX_DIM * MATRIX_DIM);
+ vecColAOffs1 = vecColAOffs0 + (uint16_t)(CMPLX_DIM * MATRIX_DIM);
+
+
+ pInB = (float16_t const *)pSrcB->pData;
+
+ vecA0 = vldrhq_gather_shifted_offset_f16(pInA0, vecColAOffs0);
+ vecA1 = vldrhq_gather_shifted_offset_f16(pInA0, vecColAOffs1);
+
+
+ vecB = vldrhq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ acc0 = vcmulq(vecA0, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA0, vecB);
+
+ acc1 = vcmulq(vecA1, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA1, vecB);
+
+
+ /*
+ * Compute
+ * re0+re1 | im0+im1 | re0+re1 | im0+im1
+ * re2+re3 | im2+im3 | re2+re3 | im2+im3
+ */
+
+ vecTmp = (f16x8_t) vrev64q_s32((int32x4_t) acc0);
+ vecTmp = vaddq(vecTmp, acc0);
+
+
+ *(float32_t *)(&pOut[0 * CMPLX_DIM * MATRIX_DIM]) = ((f32x4_t)vecTmp)[0];
+ *(float32_t *)(&pOut[0 * CMPLX_DIM * MATRIX_DIM + CMPLX_DIM]) = ((f32x4_t)vecTmp)[2];
+
+ vecTmp = (f16x8_t) vrev64q_s32((int32x4_t) acc1);
+ vecTmp = vaddq(vecTmp, acc1);
+
+ *(float32_t *)(&pOut[1 * CMPLX_DIM * MATRIX_DIM]) = ((f32x4_t)vecTmp)[0];
+ *(float32_t *)(&pOut[1 * CMPLX_DIM * MATRIX_DIM + CMPLX_DIM]) = ((f32x4_t)vecTmp)[2];
+
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+#undef MATRIX_DIM
+}
+
+
+
+__STATIC_FORCEINLINE arm_status arm_mat_cmplx_mult_f16_3x3_mve(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+#define MATRIX_DIM 3
+ float16_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float16_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs0;
+ float16_t *pInA0 = pInA;
+ float16_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM;
+ float16_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM;
+ f16x8_t acc0, acc1, acc2;
+ f16x8_t vecB, vecA0, vecA1, vecA2;
+ static const uint16_t offsetB0[8] = { 0, 1,
+ MATRIX_DIM * CMPLX_DIM, MATRIX_DIM * CMPLX_DIM + 1,
+ 2 * MATRIX_DIM * CMPLX_DIM, 2 * MATRIX_DIM * CMPLX_DIM + 1,
+ DONTCARE, DONTCARE
+ };
+
+
+ /* enable predication to disable upper half complex vector element */
+ mve_pred16_t p0 = vctp16q(MATRIX_DIM * CMPLX_DIM);
+
+ vecColBOffs0 = vldrhq_u16((uint16_t const *) offsetB0);
+
+ pInB = (float16_t const *)pSrcB->pData;
+
+ vecA0 = vldrhq_f16(pInA0);
+ vecA1 = vldrhq_f16(pInA1);
+ vecA2 = vldrhq_f16(pInA2);
+
+ vecB = vldrhq_gather_shifted_offset_z(pInB, vecColBOffs0, p0);
+
+ acc0 = vcmulq(vecA0, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA0, vecB);
+
+ acc1 = vcmulq(vecA1, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA1, vecB);
+
+ acc2 = vcmulq(vecA2, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA2, vecB);
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &pOut[0 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &pOut[1 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &pOut[2 * CMPLX_DIM * MATRIX_DIM]);
+ pOut += CMPLX_DIM;
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrhq_gather_shifted_offset_z(pInB, vecColBOffs0, p0);
+
+ acc0 = vcmulq(vecA0, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA0, vecB);
+
+ acc1 = vcmulq(vecA1, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA1, vecB);
+
+ acc2 = vcmulq(vecA2, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA2, vecB);
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &pOut[0 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &pOut[1 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &pOut[2 * CMPLX_DIM * MATRIX_DIM]);
+ pOut += CMPLX_DIM;
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrhq_gather_shifted_offset_z(pInB, vecColBOffs0, p0);
+
+ acc0 = vcmulq(vecA0, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA0, vecB);
+
+ acc1 = vcmulq(vecA1, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA1, vecB);
+
+ acc2 = vcmulq(vecA2, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA2, vecB);
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &pOut[0 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &pOut[1 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &pOut[2 * CMPLX_DIM * MATRIX_DIM]);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+#undef MATRIX_DIM
+}
+
+
+
+
+__STATIC_FORCEINLINE arm_status arm_mat_cmplx_mult_f16_4x4_mve(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+#define MATRIX_DIM 4
+ float16_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float16_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs0;
+ float16_t *pInA0 = pInA;
+ float16_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM;
+ float16_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM;
+ float16_t *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM;
+ f16x8_t acc0, acc1, acc2, acc3;
+ f16x8_t vecB, vecA;
+ static const uint16_t offsetB0[8] = { 0, 1,
+ MATRIX_DIM * CMPLX_DIM, MATRIX_DIM * CMPLX_DIM + 1,
+ 2 * MATRIX_DIM * CMPLX_DIM, 2 * MATRIX_DIM * CMPLX_DIM + 1,
+ 3 * MATRIX_DIM * CMPLX_DIM, 3 * MATRIX_DIM * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrhq_u16((uint16_t const *) offsetB0);
+
+ pInB = (float16_t const *)pSrcB->pData;
+
+ vecB = vldrhq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrhq_f16(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &pOut[0 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &pOut[1 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &pOut[2 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc3, &pOut[3 * CMPLX_DIM * MATRIX_DIM]);
+ pOut += CMPLX_DIM;
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrhq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrhq_f16(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &pOut[0 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &pOut[1 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &pOut[2 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc3, &pOut[3 * CMPLX_DIM * MATRIX_DIM]);
+ pOut += CMPLX_DIM;
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrhq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrhq_f16(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &pOut[0 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &pOut[1 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &pOut[2 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc3, &pOut[3 * CMPLX_DIM * MATRIX_DIM]);
+ pOut += CMPLX_DIM;
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrhq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrhq_f16(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrhq_f16(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &pOut[0 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &pOut[1 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &pOut[2 * CMPLX_DIM * MATRIX_DIM]);
+ mve_cmplx_sum_intra_vec_f16(acc3, &pOut[3 * CMPLX_DIM * MATRIX_DIM]);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+#undef MATRIX_DIM
+}
+
+
+
+arm_status arm_mat_cmplx_mult_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t const *pInB = (float16_t const *) pSrcB->pData; /* input data matrix pointer B */
+ float16_t const *pInA = (float16_t const *) pSrcA->pData; /* input data matrix pointer A */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ float16_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ uint16x8_t vecOffs, vecColBOffs;
+ uint32_t blkCnt,rowCnt; /* loop counters */
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*
+ * small squared matrix specialized routines
+ */
+ if (numRowsA == numColsB && numColsB == numColsA)
+ {
+ if (numRowsA == 1)
+ {
+ pOut[0] = (_Float16)pInA[0] * (_Float16)pInB[0] - (_Float16)pInA[1] * (_Float16)pInB[1];
+ pOut[1] = (_Float16)pInA[0] * (_Float16)pInB[1] + (_Float16)pInA[1] * (_Float16)pInB[0];
+ return (ARM_MATH_SUCCESS);
+ }
+ else if (numRowsA == 2)
+ return arm_mat_cmplx_mult_f16_2x2_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 3)
+ return arm_mat_cmplx_mult_f16_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_cmplx_mult_f16_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs[0] = 0;
+ vecColBOffs[1] = 1;
+ vecColBOffs[2] = numColsB * CMPLX_DIM;
+ vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
+ vecColBOffs[4] = 2*numColsB * CMPLX_DIM;
+ vecColBOffs[5] = 2*(numColsB * CMPLX_DIM) + 1;
+ vecColBOffs[6] = 3*numColsB * CMPLX_DIM;
+ vecColBOffs[7] = 3*(numColsB * CMPLX_DIM) + 1;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 2;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + 4 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (float16_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ float16_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec;
+ float16_t const *pInA0 = pInA;
+ float16_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM;
+ float16_t const *pInA2 = pInA1 + numColsA * CMPLX_DIM;
+ float16_t const *pInA3 = pInA2 + numColsA * CMPLX_DIM;
+ f16x8_t acc0, acc1, acc2, acc3;
+
+ acc0 = vdupq_n_f16(0.0f16);
+ acc1 = vdupq_n_f16(0.0f16);
+ acc2 = vdupq_n_f16(0.0f16);
+ acc3 = vdupq_n_f16(0.0f16);
+
+ pSrcA0Vec = (float16_t const *) pInA0;
+ pSrcA1Vec = (float16_t const *) pInA1;
+ pSrcA2Vec = (float16_t const *) pInA2;
+ pSrcA3Vec = (float16_t const *) pInA3;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 4 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 3;
+ while (blkCnt > 0U)
+ {
+ f16x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset_f16(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq_n_u16(vecOffs , (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 8;
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 8;
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 8;
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 8;
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ blkCnt--;
+ }
+ /*
+ * Unsupported addressing mode compiler crash
+ */
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ f16x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset_z_f16(pInB, vecOffs, p0);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq_n_u16(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vld1q(pSrcA2Vec);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vld1q(pSrcA3Vec);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ }
+
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &px[0 * CMPLX_DIM * numColsB + 0]);
+ mve_cmplx_sum_intra_vec_f16(acc1, &px[1 * CMPLX_DIM * numColsB + 0]);
+ mve_cmplx_sum_intra_vec_f16(acc2, &px[2 * CMPLX_DIM * numColsB + 0]);
+ mve_cmplx_sum_intra_vec_f16(acc3, &px[3 * CMPLX_DIM * numColsB + 0]);
+
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (float16_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 4) * CMPLX_DIM;
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+
+ rowCnt = row & 3;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (float16_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ float16_t const *pSrcA0Vec;
+ float16_t const *pInA0 = pInA;
+ f16x8_t acc0;
+
+ acc0 = vdupq_n_f16(0.0f16);
+
+ pSrcA0Vec = (float16_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 4 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 3;
+ while (blkCnt > 0U)
+ {
+ f16x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq_n_u16(vecOffs, (uint16_t) (4*numColsB * CMPLX_DIM));
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 8;
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ f16x8_t vecB, vecA;
+
+ vecB = vldrhq_gather_shifted_offset_z(pInB, vecOffs, p0);
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ }
+
+ mve_cmplx_sum_intra_vec_f16(acc0, &px[0]);
+
+
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (float16_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += numColsA * CMPLX_DIM;
+ rowCnt--;
+ }
+
+ /*
+ * set status as ARM_MATH_SUCCESS
+ */
+ status = ARM_MATH_SUCCESS;
+ }
+ /*
+ * Return to application
+ */
+ return (status);
+}
+#else
+
+arm_status arm_mat_cmplx_mult_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ float16_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ float16_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ float16_t *pOut = pDst->pData; /* Output data matrix pointer */
+ float16_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ _Float16 sumReal, sumImag; /* Accumulator */
+ _Float16 a1, b1, c1, d1;
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ _Float16 a0, b0, c0, d0;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal = 0.0f16;
+ sumImag = 0.0f16;
+
+ /* Initiate pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+
+ /* Reading real part of complex matrix A */
+ a0 = *pIn1;
+
+ /* Reading real part of complex matrix B */
+ c0 = *pIn2;
+
+ /* Reading imaginary part of complex matrix A */
+ b0 = *(pIn1 + 1U);
+
+ /* Reading imaginary part of complex matrix B */
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a0 * c0;
+ sumImag += b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b0 * d0;
+ sumImag += a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ a0 = *(pIn1 );
+ c0 = *(pIn2 );
+ b0 = *(pIn1 + 1U);
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a0 * c0;
+ sumImag += b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b0 * d0;
+ sumImag += a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ /* Decrement loop count */
+ colCnt--;
+ }
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = sumReal;
+ *px++ = sumImag;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixMult group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
new file mode 100644
index 00000000..5add938b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
@@ -0,0 +1,1407 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_mult_f32.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup CmplxMatrixMult Complex Matrix Multiplication
+
+ Complex Matrix multiplication is only defined if the number of columns of the
+ first matrix equals the number of rows of the second matrix.
+ Multiplying an M x N matrix with an N x P matrix results
+ in an M x P matrix.
+ @par
+ When matrix size checking is enabled, the functions check:
+ - that the inner dimensions of pSrcA and pSrcB are equal;
+ - that the size of the output matrix equals the outer dimensions of pSrcA and pSrcB.
+ */
+
+
+/**
+ @addtogroup CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Floating-point Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_2x2_mve(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0;
+ float32_t *pInA0 = pInA;
+ float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM2;
+ f32x4_t acc0, acc1;
+ f32x4_t vecB, vecA;
+
+ static const uint32_t offsetB0[4] = { 0, 1,
+ MATRIX_DIM2 * CMPLX_DIM, MATRIX_DIM2 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0);
+
+ pInB = (float32_t const *)pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc1[1] + acc1[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc1[1] + acc1[3];
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_3x3_mve(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ float32_t *pInA0 = pInA;
+ float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM3;
+ float32_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM3;
+ f32x4_t acc0, acc1, acc2;
+ f32x4_t vecB, vecA;
+ /* enable predication to disable upper half complex vector element */
+ mve_pred16_t p0 = vctp32q(CMPLX_DIM);
+
+ static const uint32_t offsetB0[4] = { 0, 1,
+ MATRIX_DIM3 * CMPLX_DIM, MATRIX_DIM3 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = { 2 * MATRIX_DIM3 * CMPLX_DIM, 2 * MATRIX_DIM3 * CMPLX_DIM + 1,
+ INACTIVELANE, INACTIVELANE
+ };
+
+ vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0);
+ vecColBOffs1 = vldrwq_u32((uint32_t const *) offsetB1);
+
+ pInB = (float32_t const *)pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3];
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_4x4_mve(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ float32_t *pInA0 = pInA;
+ float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM4;
+ float32_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM4;
+ float32_t *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM4;
+ f32x4_t acc0, acc1, acc2, acc3;
+ f32x4_t vecB, vecA;
+
+ static const uint32_t offsetB0[4] = { 0, 1,
+ MATRIX_DIM4 * CMPLX_DIM, MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = { 2 * MATRIX_DIM4 * CMPLX_DIM, 2 * MATRIX_DIM4 * CMPLX_DIM + 1,
+ 3 * MATRIX_DIM4 * CMPLX_DIM, 3 * MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0);
+ vecColBOffs1 = vldrwq_u32((uint32_t const *) offsetB1);
+
+ pInB = (float32_t const *)pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+
+ vecA = vldrwq_f32(pInA0);
+ acc0 = vcmulq(vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA1);
+ acc1 = vcmulq(vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA2);
+ acc2 = vcmulq(vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(pInA3);
+ acc3 = vcmulq(vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_f32(&pInA0[4]);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA1[4]);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA2[4]);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+
+ vecA = vldrwq_f32(&pInA3[4]);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2];
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2];
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2];
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2];
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3];
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t const *pInB = (float32_t const *) pSrcB->pData; /* input data matrix pointer B */
+ float32_t const *pInA = (float32_t const *) pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ uint32x4_t vecOffs, vecColBOffs;
+ uint32_t blkCnt, rowCnt; /* loop counters */
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * small squared matrix specialized routines
+ */
+ if (numRowsA == numColsB && numColsB == numColsA)
+ {
+ if (numRowsA == 1)
+ {
+ pOut[0] = pInA[0] * pInB[0] - pInA[1] * pInB[1];
+ pOut[1] = pInA[0] * pInB[1] + pInA[1] * pInB[0];
+ return (ARM_MATH_SUCCESS);
+ }
+ else if (numRowsA == 2)
+ return arm_mat_cmplx_mult_f32_2x2_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 3)
+ return arm_mat_cmplx_mult_f32_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_cmplx_mult_f32_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs[0] = 0;
+ vecColBOffs[1] = 1;
+ vecColBOffs[2] = numColsB * CMPLX_DIM;
+ vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 2;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + 4 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (float32_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec;
+ float32_t const *pInA0 = pInA;
+ float32_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM;
+ float32_t const *pInA2 = pInA1 + numColsA * CMPLX_DIM;
+ float32_t const *pInA3 = pInA2 + numColsA * CMPLX_DIM;
+ f32x4_t acc0, acc1, acc2, acc3;
+
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ acc2 = vdupq_n_f32(0.0f);
+ acc3 = vdupq_n_f32(0.0f);
+
+ pSrcA0Vec = (float32_t const *) pInA0;
+ pSrcA1Vec = (float32_t const *) pInA1;
+ pSrcA2Vec = (float32_t const *) pInA2;
+ pSrcA3Vec = (float32_t const *) pInA3;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 4 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4;
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4;
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4;
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vcmlaq(acc1, vecA, vecB);
+ acc1 = vcmlaq_rot90(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec);
+ acc2 = vcmlaq(acc2, vecA, vecB);
+ acc2 = vcmlaq_rot90(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec);
+ acc3 = vcmlaq(acc3, vecA, vecB);
+ acc3 = vcmlaq_rot90(acc3, vecA, vecB);
+
+ }
+
+ px[0 * CMPLX_DIM * numColsB + 0] = acc0[0] + acc0[2];
+ px[0 * CMPLX_DIM * numColsB + 1] = acc0[1] + acc0[3];
+ px[1 * CMPLX_DIM * numColsB + 0] = acc1[0] + acc1[2];
+ px[1 * CMPLX_DIM * numColsB + 1] = acc1[1] + acc1[3];
+ px[2 * CMPLX_DIM * numColsB + 0] = acc2[0] + acc2[2];
+ px[2 * CMPLX_DIM * numColsB + 1] = acc2[1] + acc2[3];
+ px[3 * CMPLX_DIM * numColsB + 0] = acc3[0] + acc3[2];
+ px[3 * CMPLX_DIM * numColsB + 1] = acc3[1] + acc3[3];
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (float32_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 4) * CMPLX_DIM;
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+
+ rowCnt = row & 3;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (float32_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ float32_t const *pSrcA0Vec;
+ float32_t const *pInA0 = pInA;
+ f32x4_t acc0;
+
+ acc0 = vdupq_n_f32(0.0f);
+
+ pSrcA0Vec = (float32_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 4 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ f32x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vcmlaq(acc0, vecA, vecB);
+ acc0 = vcmlaq_rot90(acc0, vecA, vecB);
+
+ }
+
+ px[0] = acc0[0] + acc0[2];
+ px[1] = acc0[1] + acc0[3];
+
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (float32_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += numColsA * CMPLX_DIM;
+ rowCnt--;
+ }
+
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ float32_t sumReal1, sumImag1; /* accumulator */
+ float32_t a1, a1B,b1, b1B, c1, d1;
+ float32_t sumReal2, sumImag2; /* accumulator */
+
+
+ float32x4x2_t a0V, a1V;
+ float32x4_t accR0,accI0, accR1,accI1,tempR, tempI;
+ float32x2_t accum = vdup_n_f32(0);
+ float32_t *pIn1B = pSrcA->pData;
+
+ uint16_t col, i = 0U, j, rowCnt, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ float32_t sumReal1B, sumImag1B;
+ float32_t sumReal2B, sumImag2B;
+ float32_t *pxB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+
+ rowCnt = row >> 1;
+
+ /* Row loop */
+ while (rowCnt > 0U)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+ pxB = px + 2 * numColsB;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ while (col > 0U)
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal1 = 0.0f;
+ sumImag1 = 0.0f;
+ sumReal1B = 0.0f;
+ sumImag1B = 0.0f;
+
+ sumReal2 = 0.0f;
+ sumImag2 = 0.0f;
+ sumReal2B = 0.0f;
+ sumImag2B = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+ pIn1B = pIn1 + 2*numColsA;
+
+ accR0 = vdupq_n_f32(0.0);
+ accI0 = vdupq_n_f32(0.0);
+ accR1 = vdupq_n_f32(0.0);
+ accI1 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* Reading real part of complex matrix A */
+ a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
+ a1V = vld2q_f32(pIn1B); // load & separate real/imag pSrcA (de-interleave 2)
+
+ pIn1 += 8;
+ pIn1B += 8;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,0);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,0);
+ pIn2 += 2 * numColsB;
+
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,1);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,1);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,2);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,2);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,3);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,3);
+ pIn2 += 2 * numColsB;
+
+ accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
+ accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
+
+ accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
+ accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
+
+ accR1 = vmlaq_f32(accR1,a1V.val[0],tempR);
+ accR1 = vmlsq_f32(accR1,a1V.val[1],tempI);
+
+ accI1 = vmlaq_f32(accI1,a1V.val[1],tempR);
+ accI1 = vmlaq_f32(accI1,a1V.val[0],tempI);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
+ sumReal1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
+ sumImag1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accR1), vget_high_f32(accR1));
+ sumReal1B += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI1), vget_high_f32(accI1));
+ sumImag1B += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA & 3;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a1 = *pIn1;
+ a1B = *pIn1B;
+
+ c1 = *pIn2;
+
+ b1 = *(pIn1 + 1U);
+ b1B = *(pIn1B + 1U);
+
+ d1 = *(pIn2 + 1U);
+
+ sumReal1 += a1 * c1;
+ sumImag1 += b1 * c1;
+
+ sumReal1B += a1B * c1;
+ sumImag1B += b1B * c1;
+
+ pIn1 += 2U;
+ pIn1B += 2U;
+ pIn2 += 2 * numColsB;
+
+ sumReal2 -= b1 * d1;
+ sumImag2 += a1 * d1;
+
+ sumReal2B -= b1B * d1;
+ sumImag2B += a1B * d1;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ sumReal1 += sumReal2;
+ sumImag1 += sumImag2;
+
+ sumReal1B += sumReal2B;
+ sumImag1B += sumImag2B;
+
+ /* Store the result in the destination buffer */
+ *px++ = sumReal1;
+ *px++ = sumImag1;
+ *pxB++ = sumReal1B;
+ *pxB++ = sumImag1B;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement the column loop counter */
+ col--;
+ }
+
+ /* Update the pointer pInA to point to the starting address of the next 2 row */
+ i = i + 2*numColsB;
+ pInA = pInA + 4 * numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+ }
+
+ rowCnt = row & 1;
+ while (rowCnt > 0U)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ while (col > 0U)
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal1 = 0.0f;
+ sumImag1 = 0.0f;
+
+ sumReal2 = 0.0f;
+ sumImag2 = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+
+ accR0 = vdupq_n_f32(0.0);
+ accI0 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* Reading real part of complex matrix A */
+ a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
+ pIn1 += 8;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,0);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,0);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,1);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,1);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,2);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,2);
+ pIn2 += 2 * numColsB;
+
+ tempR = vsetq_lane_f32(*pIn2,tempR,3);
+ tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,3);
+ pIn2 += 2 * numColsB;
+
+ accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
+ accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
+
+ accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
+ accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
+ sumReal1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
+ sumImag1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA & 3;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a1 = *pIn1;
+ c1 = *pIn2;
+
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ sumReal1 += a1 * c1;
+ sumImag1 += b1 * c1;
+
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ sumReal2 -= b1 * d1;
+ sumImag2 += a1 * d1;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ sumReal1 += sumReal2;
+ sumImag1 += sumImag2;
+
+ /* Store the result in the destination buffer */
+ *px++ = sumReal1;
+ *px++ = sumImag1;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement the column loop counter */
+ col--;
+
+ }
+
+ /* Update the pointer pInA to point to the starting address of the next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* Output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ float32_t sumReal, sumImag; /* Accumulator */
+ float32_t a1, b1, c1, d1;
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t a0, b0, c0, d0;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal = 0.0f;
+ sumImag = 0.0f;
+
+ /* Initiate pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+
+ /* Reading real part of complex matrix A */
+ a0 = *pIn1;
+
+ /* Reading real part of complex matrix B */
+ c0 = *pIn2;
+
+ /* Reading imaginary part of complex matrix A */
+ b0 = *(pIn1 + 1U);
+
+ /* Reading imaginary part of complex matrix B */
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a0 * c0;
+ sumImag += b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b0 * d0;
+ sumImag += a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ a0 = *(pIn1 );
+ c0 = *(pIn2 );
+ b0 = *(pIn1 + 1U);
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a0 * c0;
+ sumImag += b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b0 * d0;
+ sumImag += a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ /* Decrement loop count */
+ colCnt--;
+ }
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += a1 * c1;
+ sumImag += b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= b1 * d1;
+ sumImag += a1 * d1;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = sumReal;
+ *px++ = sumImag;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
new file mode 100644
index 00000000..5b9db9f1
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
@@ -0,0 +1,595 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_mat_mult_q15.c
+ * Description: Q15 complex matrix multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Q15 Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @param[in] pScratch points to an array for storing intermediate results
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Conditions for optimum performance
+ Input, output and state buffers should be aligned by 32-bit
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator. The inputs to the
+ multiplications are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then
+ truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
+
+arm_status arm_mat_cmplx_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pScratch)
+{
+ q15_t const *pInA = (q15_t const *) pSrcA->pData; /* input data matrix pointer A of Q15 type */
+ q15_t const *pInB = (q15_t const *) pSrcB->pData; /* input data matrix pointer B of Q15 type */
+ q15_t const *pInB2;
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint32_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint32_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint32_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */
+ uint32_t col, i = 0u, j, row = numRowsB; /* loop counters */
+ uint32_t blkCnt; /* loop counters */
+ uint16x8_t vecOffs, vecColBOffs;
+ arm_status status; /* Status of matrix multiplication */
+ (void)pScratch;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ vecColBOffs[0] = 0;
+ vecColBOffs[1] = 1;
+ vecColBOffs[2] = numColsB * CMPLX_DIM;
+ vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
+ vecColBOffs[4] = 2 * numColsB * CMPLX_DIM;
+ vecColBOffs[5] = 2 * (numColsB * CMPLX_DIM) + 1;
+ vecColBOffs[6] = 3 * numColsB * CMPLX_DIM;
+ vecColBOffs[7] = 3 * (numColsB * CMPLX_DIM) + 1;
+
+ /*
+ * Reset the variables for the usage in the following multiplication process
+ */
+ i = 0;
+ row = numRowsA;
+ px = pDst->pData;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ while (row > 0u)
+ {
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB >> 1;
+ j = 0;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ q15_t const *pSrcAVec;
+ //, *pSrcBVec, *pSrcB2Vec;
+ q15x8_t vecA, vecB, vecB2;
+ q63_t acc0, acc1, acc2, acc3;
+
+ /*
+ * Initiate the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pInA = pSrcA->pData + i;
+ pInB = pSrcB->pData + j;
+ pInB2 = pInB + CMPLX_DIM;
+
+ j += 2 * CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+
+ /*
+ * Initiate the pointers
+ * - current Matrix A rows
+ * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB)
+ */
+ pSrcAVec = (q15_t const *) pInA;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ vecOffs = vecColBOffs;
+
+
+ blkCnt = (numColsA * CMPLX_DIM) >> 3;
+ while (blkCnt > 0U)
+ {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+
+ acc0 = vmlsldavaq_s16(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq_s16(acc1, vecA, vecB);
+ vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq_n_u16(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ acc2 = vmlsldavaq_s16(acc2, vecA, vecB2);
+ acc3 = vmlaldavaxq_s16(acc3, vecA, vecB2);
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+
+ vecA = vldrhq_z_s16(pSrcAVec, p0);
+
+ acc0 = vmlsldavaq_s16(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq_s16(acc1, vecA, vecB);
+ vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs);
+
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq_n_u16(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ acc2 = vmlsldavaq_s16(acc2, vecA, vecB2);
+ acc3 = vmlaldavaxq_s16(acc3, vecA, vecB2);
+
+ }
+ /*
+ * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer
+ */
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc2, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc3, 15);
+ }
+
+ col = numColsB & 1;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+
+ q15_t const *pSrcAVec;
+ //, *pSrcBVec, *pSrcB2Vec;
+ q15x8_t vecA, vecB;
+ q63_t acc0, acc1;
+
+ /*
+ * Initiate the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pInA = pSrcA->pData + i;
+ pInB = pSrcB->pData + j;
+
+ j += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+
+ /*
+ * Initiate the pointers
+ * - current Matrix A rows
+ * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB)
+ */
+ pSrcAVec = (q15_t const *) pInA;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+
+ vecOffs = vecColBOffs;
+
+
+
+ blkCnt = (numColsA * CMPLX_DIM) >> 3;
+ while (blkCnt > 0U)
+ {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+
+ acc0 = vmlsldavaq_s16(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq_s16(acc1, vecA, vecB);
+ /*
+ * move Matrix B read offsets, 4 rows down
+ */
+ vecOffs = vaddq_n_u16(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM));
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecB = vldrhq_gather_shifted_offset(pInB, vecOffs);
+ vecA = vldrhq_z_s16(pSrcAVec, p0);
+
+ acc0 = vmlsldavaq_s16(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq_s16(acc1, vecA, vecB);
+
+ }
+ /*
+ * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer
+ */
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15);
+ *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15);
+
+ }
+
+ i = i + numColsA * CMPLX_DIM;
+
+ /*
+ * Decrement the row loop counter
+ */
+ row--;
+ }
+
+
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_cmplx_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pScratch)
+{
+ q15_t *pSrcBT = pScratch; /* input data matrix pointer for transpose */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */
+ q63_t sumReal, sumImag; /* accumulator */
+ uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#if defined (ARM_MATH_DSP)
+ q31_t prod1, prod2;
+ q31_t pSourceA, pSourceB;
+#else
+ q15_t a, b, c, d;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose */
+ do
+ {
+ /* The pointer px is set to starting address of column being processed */
+ px = pSrcBT + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and exchange the columns with row elements */
+ col = numColsB >> 2;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ a second loop below computes the remaining 1 to 3 samples. */
+ while (col > 0U)
+ {
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ col = numColsB % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ col = numColsB;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read two elements from row */
+ write_q15x2 (px, read_q15x2_ia (&pInB));
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB * 2;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i = i + 2U;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Reset variables for usage in following multiplication process */
+ row = numRowsA;
+ i = 0U;
+ px = pDst->pData;
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+ pInB = pSrcBT;
+
+ /* column loop */
+ do
+ {
+ /* Set variable sum, that acts as accumulator, to zero */
+ sumReal = 0;
+ sumImag = 0;
+
+ /* Initiate pointer pInA to point to starting address of column being processed */
+ pInA = pSrcA->pData + i * 2;
+
+ /* Apply loop unrolling and compute 2 MACs simultaneously. */
+ colCnt = numColsA >> 1U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ pSourceA = read_q15x2_ia (&pInA);
+ pSourceB = read_q15x2_ia (&pInB);
+
+ /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+ prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+ prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+ prod2 = __SMUADX(pSourceA, pSourceB);
+ sumReal += (q63_t) prod1;
+ sumImag += (q63_t) prod2;
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ pSourceA = read_q15x2_ia (&pInA);
+ pSourceB = read_q15x2_ia (&pInB);
+
+ /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+ prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+ prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+ prod2 = __SMUADX(pSourceA, pSourceB);
+ sumReal += (q63_t) prod1;
+ sumImag += (q63_t) prod2;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* read real and imag values from pSrcA buffer */
+ a = *pInA;
+ b = *(pInA + 1U);
+ /* read real and imag values from pSrcB buffer */
+ c = *pInB;
+ d = *(pInB + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q31_t) a *c;
+ sumImag += (q31_t) a *d;
+ sumReal -= (q31_t) b *d;
+ sumImag += (q31_t) b *c;
+
+ /* read next real and imag values from pSrcA buffer */
+ a = *(pInA + 2U);
+ b = *(pInA + 3U);
+ /* read next real and imag values from pSrcB buffer */
+ c = *(pInB + 2U);
+ d = *(pInB + 3U);
+
+ /* update pointer */
+ pInA += 4U;
+
+ /* Multiply and Accumlates */
+ sumReal += (q31_t) a * c;
+ sumImag += (q31_t) a * d;
+ sumReal -= (q31_t) b * d;
+ sumImag += (q31_t) b * c;
+ /* update pointer */
+ pInB += 4U;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* process odd column samples */
+ if ((numColsA & 0x1U) > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ pSourceA = read_q15x2_ia (&pInA);
+ pSourceB = read_q15x2_ia (&pInB);
+
+ /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+ prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+ prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+ prod2 = __SMUADX(pSourceA, pSourceB);
+ sumReal += (q63_t) prod1;
+ sumImag += (q63_t) prod2;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a = *pInA++;
+ b = *pInA++;
+ c = *pInB++;
+ d = *pInB++;
+
+ /* Multiply and Accumlates */
+ sumReal += (q31_t) a * c;
+ sumImag += (q31_t) a * d;
+ sumReal -= (q31_t) b * d;
+ sumImag += (q31_t) b * c;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ }
+
+ /* Saturate and store result in destination buffer */
+ *px++ = (q15_t) (__SSAT(sumReal >> 15, 16));
+ *px++ = (q15_t) (__SSAT(sumImag >> 15, 16));
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ i = i + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
new file mode 100644
index 00000000..ee784a6b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
@@ -0,0 +1,1061 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_mult_q31.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit. There is no saturation
+ on intermediate additions. Thus, if the accumulator overflows it wraps around and
+ distorts the result. The input signals should be scaled down to avoid intermediate
+ overflows. The input is thus scaled down by log2(numColsA) bits
+ to avoid overflows, as a total of numColsA additions are performed internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_2x2_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM2;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecA;
+
+ static const uint32_t offsetB0[4] = {
+ 0, 1,
+ MATRIX_DIM2 * CMPLX_DIM, MATRIX_DIM2 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32(offsetB0);
+
+ pInB = (q31_t const *) pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31);
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ pOut += CMPLX_DIM;
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_3x3_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM3;
+ q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM3;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecB1, vecA;
+ /*
+ * enable predication to disable upper half complex vector element
+ */
+ mve_pred16_t p0 = vctp32q(CMPLX_DIM);
+
+ static const uint32_t offsetB0[4] = {
+ 0, 1,
+ MATRIX_DIM3 * CMPLX_DIM, MATRIX_DIM3 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = {
+ 2 * MATRIX_DIM3 * CMPLX_DIM, 2 * MATRIX_DIM3 * CMPLX_DIM + 1,
+ INACTIVELANE, INACTIVELANE
+ };
+
+ vecColBOffs0 = vldrwq_u32(offsetB0);
+ vecColBOffs1 = vldrwq_u32(offsetB1);
+
+ pInB = (q31_t const *) pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA0[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_z_s32(&pInA1[4], p0);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA2[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA0[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_z_s32(&pInA1[4], p0);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA2[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA0[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_z_s32(&pInA1[4], p0);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_z_s32(&pInA2[4], p0);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_4x4_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs0, vecColBOffs1;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM4;
+ q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM4;
+ q31_t const *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM4;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecB1, vecA;
+
+ static const uint32_t offsetB0[4] = {
+ 0, 1,
+ MATRIX_DIM4 * CMPLX_DIM, MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+ static const uint32_t offsetB1[4] = {
+ 2 * MATRIX_DIM4 * CMPLX_DIM, 2 * MATRIX_DIM4 * CMPLX_DIM + 1,
+ 3 * MATRIX_DIM4 * CMPLX_DIM, 3 * MATRIX_DIM4 * CMPLX_DIM + 1
+ };
+
+ vecColBOffs0 = vldrwq_u32(offsetB0);
+ vecColBOffs1 = vldrwq_u32(offsetB1);
+
+ pInB = (q31_t const *) pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ pOut += CMPLX_DIM;
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ pOut += CMPLX_DIM;
+
+ /*
+ * move to next B column
+ */
+ pInB = pInB + CMPLX_DIM;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0);
+ vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA1);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA0[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA1[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+
+ vecA = vldrwq_s32(pInA2);
+ acc0 = vmlsldavq_s32(vecA, vecB);
+ acc1 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(pInA3);
+ acc2 = vmlsldavq_s32(vecA, vecB);
+ acc3 = vmlaldavxq_s32(vecA, vecB);
+
+ vecA = vldrwq_s32(&pInA2[4]);
+ acc0 = vmlsldavaq_s32(acc0, vecA, vecB1);
+ acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1);
+
+ vecA = vldrwq_s32(&pInA3[4]);
+ acc2 = vmlsldavaq_s32(acc2, vecA, vecB1);
+ acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1);
+
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31);
+ pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31);
+ pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+arm_status arm_mat_cmplx_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = (q31_t const *) pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = (q31_t const *) pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ uint32x4_t vecOffs, vecColBOffs;
+ uint32_t blkCnt, rowCnt; /* loop counters */
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * small squared matrix specialized routines
+ */
+ if (numRowsA == numColsB && numColsB == numColsA)
+ {
+ if (numRowsA == 1)
+ {
+ q63_t sumReal = (q63_t) pInA[0] * pInB[0];
+ sumReal -= (q63_t) pInA[1] * pInB[1];
+
+ q63_t sumImag = (q63_t) pInA[0] * pInB[1];
+ sumImag += (q63_t) pInA[1] * pInB[0];
+
+ /* Store result in destination buffer */
+ pOut[0] = (q31_t) clip_q63_to_q31(sumReal >> 31);
+ pOut[1] = (q31_t) clip_q63_to_q31(sumImag >> 31);
+ return (ARM_MATH_SUCCESS);
+ }
+ else if (numRowsA == 2)
+ return arm_mat_cmplx_mult_q31_2x2_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 3)
+ return arm_mat_cmplx_mult_q31_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_cmplx_mult_q31_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs[0] = 0;
+ vecColBOffs[1] = 1;
+ vecColBOffs[2] = numColsB * CMPLX_DIM;
+ vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 1;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + 2 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ q31_t const *pSrcA0Vec, *pSrcA1Vec;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM;
+ q63_t acc0, acc1, acc2, acc3;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+ pSrcA1Vec = (q31_t const *) pInA1;
+
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 2 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+
+
+ vecA = vld1q(pSrcA1Vec);
+ pSrcA1Vec += 4;
+
+ acc2 = vmlsldavaq(acc2, vecA, vecB);
+ acc3 = vmlaldavaxq(acc3, vecA, vecB);
+
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec);
+ acc2 = vmlsldavaq(acc2, vecA, vecB);
+ acc3 = vmlaldavaxq(acc3, vecA, vecB);
+
+
+ }
+
+ px[0 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc0 >> 31);
+ px[0 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc1 >> 31);
+ px[1 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc2 >> 31);
+ px[1 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc3 >> 31);
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 2) * CMPLX_DIM;
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+
+ rowCnt = row & 1;
+ while (rowCnt > 0u)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i * CMPLX_DIM;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *) pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ q31_t const *pSrcA0Vec;
+ q31_t const *pInA0 = pInA;
+ q63_t acc0,acc1;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ /*
+ * process 1 x 2 block output
+ */
+ blkCnt = (numColsA * CMPLX_DIM) >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+
+
+ blkCnt--;
+ }
+
+
+ /*
+ * tail
+ */
+ blkCnt = (numColsA * CMPLX_DIM) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+
+ /*
+ * move Matrix B read offsets, 2 rows down
+ */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM);
+
+ vecA = vld1q(pSrcA0Vec);
+
+
+ acc0 = vmlsldavaq(acc0, vecA, vecB);
+ acc1 = vmlaldavaxq(acc1, vecA, vecB);
+
+
+ }
+
+ px[0] = (q31_t) clip_q63_to_q31(acc0 >> 31);
+ px[1] = (q31_t) clip_q63_to_q31(acc1 >> 31);
+
+
+ px += CMPLX_DIM;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM;
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += numColsA * CMPLX_DIM;
+ rowCnt--;
+ }
+
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_cmplx_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* Output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ q63_t sumReal, sumImag; /* Accumulator */
+ q31_t a1, b1, c1, d1;
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t a0, b0, c0, d0;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + 2 * i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sumReal = 0.0;
+ sumImag = 0.0;
+
+ /* Initiate pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+
+ /* Reading real part of complex matrix A */
+ a0 = *pIn1;
+
+ /* Reading real part of complex matrix B */
+ c0 = *pIn2;
+
+ /* Reading imaginary part of complex matrix A */
+ b0 = *(pIn1 + 1U);
+
+ /* Reading imaginary part of complex matrix B */
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a0 * c0;
+ sumImag += (q63_t) b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b0 * d0;
+ sumImag += (q63_t) a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ a0 = *(pIn1 );
+ c0 = *(pIn2 );
+ b0 = *(pIn1 + 1U);
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a0 * c0;
+ sumImag += (q63_t) b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b0 * d0;
+ sumImag += (q63_t) a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ /* Decrement loop count */
+ colCnt--;
+ }
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = (q31_t) clip_q63_to_q31(sumReal >> 31);
+ *px++ = (q31_t) clip_q63_to_q31(sumImag >> 31);
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_f16.c
new file mode 100644
index 00000000..5eda8c3c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_f16.c
@@ -0,0 +1,131 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_trans_f16.c
+ * Description: Floating-point complex matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixComplexTrans
+ @{
+ */
+
+/**
+ @brief Floating-point matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_cmplx_trans_f16(const arm_matrix_instance_f16 * pSrc, arm_matrix_instance_f16 * pDst)
+{
+ return arm_mat_cmplx_trans_16bit(pSrc->numRows, pSrc->numCols, (uint16_t *) pSrc->pData,
+ pDst->numRows, pDst->numCols, (uint16_t *) pDst->pData);
+}
+
+#else
+arm_status arm_mat_cmplx_trans_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ float16_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nColumns = pSrc->numCols; /* number of columns */
+ uint16_t col, i = 0U, row = nRows; /* loop counters */
+ arm_status status; /* status of matrix transpose */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* The pointer px is set to starting address of the column being processed */
+ px = pOut + CMPLX_DIM * i;
+
+ /* Initialize column loop counter */
+ col = nColumns;
+
+ while (col > 0U)
+ {
+ /* Read and store the input element in the destination */
+ px[0] = *pIn++; // real
+ px[1] = *pIn++; // imag
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += CMPLX_DIM * nRows;
+
+ /* Decrement the column loop counter */
+ col--;
+ }
+ i++;
+
+ /* Decrement the row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixTrans group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_f32.c
new file mode 100644
index 00000000..222f349e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_f32.c
@@ -0,0 +1,133 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_trans_f32.c
+ * Description: Floating-point complex matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixComplexTrans Complex Matrix Transpose
+
+ Tranposes a complex matrix.
+
+ Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix.
+ \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"
+ */
+
+/**
+ @addtogroup MatrixComplexTrans
+ @{
+ */
+
+/**
+ @brief Floating-point matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_cmplx_trans_f32(const arm_matrix_instance_f32 * pSrc, arm_matrix_instance_f32 * pDst)
+{
+ return arm_mat_cmplx_trans_32bit(pSrc->numRows, pSrc->numCols, (uint32_t *) pSrc->pData,
+ pDst->numRows, pDst->numCols, (uint32_t *) pDst->pData);
+}
+
+#else
+arm_status arm_mat_cmplx_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nColumns = pSrc->numCols; /* number of columns */
+ uint16_t col, i = 0U, row = nRows; /* loop counters */
+ arm_status status; /* status of matrix transpose */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* The pointer px is set to starting address of the column being processed */
+ px = pOut + CMPLX_DIM * i;
+
+ /* Initialize column loop counter */
+ col = nColumns;
+
+ while (col > 0U)
+ {
+ /* Read and store the input element in the destination */
+ px[0] = *pIn++; // real
+ px[1] = *pIn++; // imag
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += CMPLX_DIM * nRows;
+
+ /* Decrement the column loop counter */
+ col--;
+ }
+ i++;
+
+ /* Decrement the row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_q15.c
new file mode 100644
index 00000000..8a3724ee
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_q15.c
@@ -0,0 +1,124 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_trans_q31.c
+ * Description: Q15 complex matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixComplexTrans
+ @{
+ */
+
+/**
+ @brief Q15 complex matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_cmplx_trans_q15(const arm_matrix_instance_q15 * pSrc, arm_matrix_instance_q15 * pDst)
+{
+ return arm_mat_cmplx_trans_16bit(pSrc->numRows, pSrc->numCols, (uint16_t *) pSrc->pData,
+ pDst->numRows, pDst->numCols, (uint16_t *) pDst->pData);
+}
+
+
+#else
+arm_status arm_mat_cmplx_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pSrcA = pSrc->pData; /* input data matrix pointer */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of nRows */
+ uint16_t nColumns = pSrc->numCols; /* number of nColumns */
+ uint16_t col, row = nRows, i = 0U; /* row and column loop counters */
+ arm_status status; /* status of matrix transpose */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* The pointer pOut is set to starting address of the column being processed */
+ pOut = pDst->pData + CMPLX_DIM * i;
+
+ /* Initialize column loop counter */
+ col = nColumns;
+
+ while (col > 0U)
+ {
+ /* Read and store the input element in the destination */
+ pOut[0] = *pSrcA++; //real
+ pOut[1] = *pSrcA++; //imag
+
+ /* Update the pointer pOut to point to the next row of the transposed matrix */
+ pOut += CMPLX_DIM *nRows;
+
+ /* Decrement the column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement the row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ * @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_q31.c
new file mode 100644
index 00000000..a8612a30
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_trans_q31.c
@@ -0,0 +1,129 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_trans_q31.c
+ * Description: Q31 complex matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+
+/**
+ @addtogroup MatrixComplexTrans
+ @{
+ */
+
+/**
+ @brief Q31 complex matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+arm_status arm_mat_cmplx_trans_q31(const arm_matrix_instance_q31 * pSrc, arm_matrix_instance_q31 * pDst)
+{
+ return arm_mat_cmplx_trans_32bit(pSrc->numRows, pSrc->numCols, (uint32_t *) pSrc->pData,
+ pDst->numRows, pDst->numCols, (uint32_t *) pDst->pData);
+}
+
+
+#else
+arm_status arm_mat_cmplx_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of nRows */
+ uint16_t nColumns = pSrc->numCols; /* number of nColumns */
+ uint16_t col, i = 0U, row = nRows; /* loop counters */
+ arm_status status; /* status of matrix transpose */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* The pointer px is set to starting address of the column being processed */
+ px = pOut + CMPLX_DIM * i;
+
+ /* Initialize column loop counter */
+ col = nColumns;
+
+ while (col > 0U)
+ {
+ /* Read and store the input element in the destination */
+ px[0] = *pIn++; // real
+ px[1] = *pIn++; // imag
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += CMPLX_DIM * nRows;
+
+ /* Decrement the column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement the row loop counter */
+ row--;
+
+ }
+ while (row > 0U); /* row loop end */
+
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ * @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f16.c
new file mode 100644
index 00000000..6a48102d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f16.c
@@ -0,0 +1,74 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_init_f16.c
+ * Description: Floating-point matrix initialization
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInit
+ @{
+ */
+
+/**
+ @brief Floating-point matrix initialization.
+ @param[in,out] S points to an instance of the floating-point matrix structure
+ @param[in] nRows number of rows in the matrix
+ @param[in] nColumns number of columns in the matrix
+ @param[in] pData points to the matrix data array
+ @return none
+ */
+
+void arm_mat_init_f16(
+ arm_matrix_instance_f16 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float16_t * pData)
+{
+ /* Assign Number of Rows */
+ S->numRows = nRows;
+
+ /* Assign Number of Columns */
+ S->numCols = nColumns;
+
+ /* Assign Data pointer */
+ S->pData = pData;
+}
+
+/**
+ @} end of MatrixInit group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c
new file mode 100644
index 00000000..d2a52013
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c
@@ -0,0 +1,76 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_init_f32.c
+ * Description: Floating-point matrix initialization
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixInit Matrix Initialization
+
+ Initializes the underlying matrix data structure.
+ The functions set the numRows,
+ numCols, and pData fields
+ of the matrix data structure.
+ */
+
+/**
+ @addtogroup MatrixInit
+ @{
+ */
+
+/**
+ @brief Floating-point matrix initialization.
+ @param[in,out] S points to an instance of the floating-point matrix structure
+ @param[in] nRows number of rows in the matrix
+ @param[in] nColumns number of columns in the matrix
+ @param[in] pData points to the matrix data array
+ @return none
+ */
+
+void arm_mat_init_f32(
+ arm_matrix_instance_f32 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float32_t * pData)
+{
+ /* Assign Number of Rows */
+ S->numRows = nRows;
+
+ /* Assign Number of Columns */
+ S->numCols = nColumns;
+
+ /* Assign Data pointer */
+ S->pData = pData;
+}
+
+/**
+ @} end of MatrixInit group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c
new file mode 100644
index 00000000..33942b50
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c
@@ -0,0 +1,67 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_init_q15.c
+ * Description: Q15 matrix initialization
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixInit
+ @{
+ */
+
+/**
+ @brief Q15 matrix initialization.
+ @param[in,out] S points to an instance of the floating-point matrix structure
+ @param[in] nRows number of rows in the matrix
+ @param[in] nColumns number of columns in the matrix
+ @param[in] pData points to the matrix data array
+ @return none
+ */
+
+void arm_mat_init_q15(
+ arm_matrix_instance_q15 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q15_t * pData)
+{
+ /* Assign Number of Rows */
+ S->numRows = nRows;
+
+ /* Assign Number of Columns */
+ S->numCols = nColumns;
+
+ /* Assign Data pointer */
+ S->pData = pData;
+}
+
+/**
+ @} end of MatrixInit group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c
new file mode 100644
index 00000000..ab735d06
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c
@@ -0,0 +1,72 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_init_q31.c
+ * Description: Q31 matrix initialization
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixInit Matrix Initialization
+
+ */
+
+/**
+ @addtogroup MatrixInit
+ @{
+ */
+
+/**
+ @brief Q31 matrix initialization.
+ @param[in,out] S points to an instance of the Q31 matrix structure
+ @param[in] nRows number of rows in the matrix
+ @param[in] nColumns number of columns in the matrix
+ @param[in] pData points to the matrix data array
+ @return none
+ */
+
+void arm_mat_init_q31(
+ arm_matrix_instance_q31 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q31_t * pData)
+{
+ /* Assign Number of Rows */
+ S->numRows = nRows;
+
+ /* Assign Number of Columns */
+ S->numCols = nColumns;
+
+ /* Assign Data pointer */
+ S->pData = pData;
+}
+
+/**
+ @} end of MatrixInit group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f16.c
new file mode 100644
index 00000000..90bc06d0
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f16.c
@@ -0,0 +1,891 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_inverse_f16.c
+ * Description: Floating-point matrix inverse
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ @brief Floating-point matrix inverse.
+ @param[in] pSrc points to input matrix structure. The source matrix is modified by the function.
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible)
+ */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_inverse_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ float16_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float16_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float16_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+ float16_t *pTmpA, *pTmpB;
+
+ _Float16 in = 0.0f16; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+ uint32_t blkCnt;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+ || (pSrc->numRows != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _ _ _ _ _
+ * | | a11 a12 | | | 1 0 | | | X11 X12 |
+ * | | | | | | | = | |
+ * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+ * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /*
+ * Working pointer for destination matrix
+ */
+ pOutT1 = pOut;
+ /*
+ * Loop over the number of rows
+ */
+ rowCnt = numRows;
+ /*
+ * Making the destination matrix as identity matrix
+ */
+ while (rowCnt > 0U)
+ {
+ /*
+ * Writing all zeroes in lower triangle of the destination matrix
+ */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f16;
+ j--;
+ }
+ /*
+ * Writing all ones in the diagonal of the destination matrix
+ */
+ *pOutT1++ = 1.0f16;
+ /*
+ * Writing all zeroes in upper triangle of the destination matrix
+ */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f16;
+ j--;
+ }
+ /*
+ * Decrement the loop counter
+ */
+ rowCnt--;
+ }
+
+ /*
+ * Loop over the number of columns of the input matrix.
+ * All the elements in each column are processed by the row operations
+ */
+ loopCnt = numCols;
+ /*
+ * Index modifier to navigate through the columns
+ */
+ l = 0U;
+ while (loopCnt > 0U)
+ {
+ /*
+ * Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular.
+ */
+
+ /*
+ * Working pointer for the input matrix that points
+ * * to the pivot element of the particular row
+ */
+ pInT1 = pIn + (l * numCols);
+ /*
+ * Working pointer for the destination matrix that points
+ * * to the pivot element of the particular row
+ */
+ pOutT1 = pOut + (l * numCols);
+ /*
+ * Temporary variable to hold the pivot value
+ */
+ in = *pInT1;
+
+
+ /*
+ * Check if the pivot element is zero
+ */
+ if ((_Float16)*pInT1 == 0.0f16)
+ {
+ /*
+ * Loop over the number rows present below
+ */
+ for (i = 1U; i < numRows-l; i++)
+ {
+ /*
+ * Update the input and destination pointers
+ */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+ /*
+ * Check if there is a non zero pivot element to
+ * * replace in the rows below
+ */
+ if ((_Float16)*pInT2 != 0.0f16)
+ {
+ f16x8_t vecA, vecB;
+ /*
+ * Loop over number of columns
+ * * to the right of the pilot element
+ */
+ pTmpA = pInT1;
+ pTmpB = pInT2;
+ blkCnt = (numCols - l) >> 3;
+ while (blkCnt > 0U)
+ {
+
+ vecA = vldrhq_f16(pTmpA);
+ vecB = vldrhq_f16(pTmpB);
+ vstrhq_f16(pTmpB, vecA);
+ vstrhq_f16(pTmpA, vecB);
+
+ pTmpA += 8;
+ pTmpB += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numCols - l) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vecA = vldrhq_f16(pTmpA);
+ vecB = vldrhq_f16(pTmpB);
+ vstrhq_p_f16(pTmpB, vecA, p0);
+ vstrhq_p_f16(pTmpA, vecB, p0);
+ }
+
+ pInT1 += numCols - l;
+ pInT2 += numCols - l;
+ pTmpA = pOutT1;
+ pTmpB = pOutT2;
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+
+ vecA = vldrhq_f16(pTmpA);
+ vecB = vldrhq_f16(pTmpB);
+ vstrhq_f16(pTmpB, vecA);
+ vstrhq_f16(pTmpA, vecB);
+ pTmpA += 8;
+ pTmpB += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vecA = vldrhq_f16(pTmpA);
+ vecB = vldrhq_f16(pTmpB);
+ vstrhq_p_f16(pTmpB, vecA, p0);
+ vstrhq_p_f16(pTmpA, vecB, p0);
+ }
+
+ pOutT1 += numCols;
+ pOutT2 += numCols;
+ /*
+ * Flag to indicate whether exchange is done or not
+ */
+ flag = 1U;
+
+ /*
+ * Break after exchange is done
+ */
+ break;
+ }
+
+ }
+ }
+
+ /*
+ * Update the status if the matrix is singular
+ */
+ if ((flag != 1U) && (in == 0.0f16))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /*
+ * Points to the pivot row of input and destination matrices
+ */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /*
+ * Temporary pointers to the pivot row pointers
+ */
+ pInT1 = pPivotRowIn;
+ pOutT1 = pPivotRowDst;
+
+ /*
+ * Pivot element of the row
+ */
+ in = *(pIn + (l * numCols));
+
+ pTmpA = pInT1;
+
+ f16x8_t invIn = vdupq_n_f16(1.0f16 / in);
+
+ blkCnt = (numCols - l) >> 3;
+ f16x8_t vecA;
+ while (blkCnt > 0U)
+ {
+ *(f16x8_t *) pTmpA = *(f16x8_t *) pTmpA * invIn;
+ pTmpA += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = (numCols - l) & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+
+ vecA = vldrhq_f16(pTmpA);
+ vecA = vecA * invIn;
+ vstrhq_p_f16(pTmpA, vecA, p0);
+ }
+
+ pInT1 += numCols - l;
+ /*
+ * Loop over number of columns
+ * * to the right of the pilot element
+ */
+
+ pTmpA = pOutT1;
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ *(f16x8_t *) pTmpA = *(f16x8_t *) pTmpA *invIn;
+ pTmpA += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vecA = vldrhq_f16(pTmpA);
+ vecA = vecA * invIn;
+ vstrhq_p_f16(pTmpA, vecA, p0);
+ }
+
+ pOutT1 += numCols;
+
+ /*
+ * Replace the rows with the sum of that row and a multiple of row i
+ * * so that each new element in column i above row i is zero.
+ */
+
+ /*
+ * Temporary pointers for input and destination matrices
+ */
+ pInT1 = pIn;
+ pOutT1 = pOut;
+
+ for (i = 0U; i < numRows; i++)
+ {
+ /*
+ * Check for the pivot element
+ */
+ if (i == l)
+ {
+ /*
+ * If the processing element is the pivot element,
+ * only the columns to the right are to be processed
+ */
+ pInT1 += numCols - l;
+ pOutT1 += numCols;
+ }
+ else
+ {
+ /*
+ * Element of the reference row
+ */
+
+ /*
+ * Working pointers for input and destination pivot rows
+ */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+ /*
+ * Loop over the number of columns to the right of the pivot element,
+ * to replace the elements in the input matrix
+ */
+
+ in = *pInT1;
+ f16x8_t tmpV = vdupq_n_f16(in);
+
+ blkCnt = (numCols - l) >> 3;
+ while (blkCnt > 0U)
+ {
+ f16x8_t vec1, vec2;
+ /*
+ * Replace the element by the sum of that row
+ * and a multiple of the reference row
+ */
+ vec1 = vldrhq_f16(pInT1);
+ vec2 = vldrhq_f16(pPRT_in);
+ vec1 = vfmsq_f16(vec1, tmpV, vec2);
+ vstrhq_f16(pInT1, vec1);
+ pPRT_in += 8;
+ pInT1 += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numCols - l) & 7;
+ if (blkCnt > 0U)
+ {
+ f16x8_t vec1, vec2;
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vec1 = vldrhq_f16(pInT1);
+ vec2 = vldrhq_f16(pPRT_in);
+ vec1 = vfmsq_f16(vec1, tmpV, vec2);
+ vstrhq_p_f16(pInT1, vec1, p0);
+ pInT1 += blkCnt;
+ }
+
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ f16x8_t vec1, vec2;
+
+ /*
+ * Replace the element by the sum of that row
+ * and a multiple of the reference row
+ */
+ vec1 = vldrhq_f16(pOutT1);
+ vec2 = vldrhq_f16(pPRT_pDst);
+ vec1 = vfmsq_f16(vec1, tmpV, vec2);
+ vstrhq_f16(pOutT1, vec1);
+ pPRT_pDst += 8;
+ pOutT1 += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ f16x8_t vec1, vec2;
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vec1 = vldrhq_f16(pOutT1);
+ vec2 = vldrhq_f16(pPRT_pDst);
+ vec1 = vfmsq_f16(vec1, tmpV, vec2);
+ vstrhq_p_f16(pOutT1, vec1, p0);
+
+ pInT2 += blkCnt;
+ pOutT1 += blkCnt;
+ }
+ }
+ /*
+ * Increment the temporary input pointer
+ */
+ pInT1 = pInT1 + l;
+ }
+ /*
+ * Increment the input pointer
+ */
+ pIn++;
+ /*
+ * Decrement the loop counter
+ */
+ loopCnt--;
+ /*
+ * Increment the index modifier
+ */
+ l++;
+ }
+
+ /*
+ * Set status as ARM_MATH_SUCCESS
+ */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0f16))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if ((_Float16)pIn[i] != 0.0f16)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+ /* Return to application */
+ return (status);
+}
+
+#else
+
+arm_status arm_mat_inverse_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ float16_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float16_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float16_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+
+ _Float16 Xchg, in = 0.0f16, in1; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k,l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _
+ * | a11 a12 | 1 0 | | X11 X12 |
+ * | | | = | |
+ * |_ a21 a22 | 0 1 _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+ * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f16;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0f16;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f16;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+
+ /* Check if the pivot element is zero */
+ if ((_Float16)*pInT1 == 0.0f16)
+ {
+ /* Loop over the number rows present below */
+
+ for (i = 1U; i < numRows-l; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if ((_Float16)*pInT2 != 0.0f16)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = numCols - l;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the destination matrix */
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0f16))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pInT2 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *pPivotRowIn;
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ in1 = *pInT1;
+ *pInT1++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ in1 = *pInT2;
+ *pInT2++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pInT2 = pOut;
+
+ /* index used to check for pivot element */
+ i = 0U;
+
+ /* Loop over number of rows */
+ /* to be replaced by the sum of that row and a multiple of row i */
+ k = numRows;
+
+ while (k > 0U)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+
+ pInT2 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT1;
+ *pInT1++ = (_Float16)in1 - ((_Float16)in * (_Float16)*pPRT_in++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT2;
+ *pInT2++ = (_Float16)in1 - ((_Float16)in * (_Float16)*pPRT_pDst++);
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+
+ /* Decrement loop counter */
+ k--;
+
+ /* Increment pivot index */
+ i++;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && ((_Float16)in == 0.0f16))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if ((_Float16)pIn[i] != 0.0f16)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixInv group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c
new file mode 100644
index 00000000..b0ef7608
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c
@@ -0,0 +1,1570 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_inverse_f32.c
+ * Description: Floating-point matrix inverse
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixInv Matrix Inverse
+
+ Computes the inverse of a matrix.
+
+ The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero).
+ The function checks that the input and output matrices are square and of the same size.
+
+ Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix
+ inversion of floating-point matrices.
+
+ @par Algorithm
+ The Gauss-Jordan method is used to find the inverse.
+ The algorithm performs a sequence of elementary row-operations until it
+ reduces the input matrix to an identity matrix. Applying the same sequence
+ of elementary row-operations to an identity matrix yields the inverse matrix.
+ If the input matrix is singular, then the algorithm terminates and returns error status
+ ARM_MATH_SINGULAR.
+ \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"
+ */
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ @brief Floating-point matrix inverse.
+ @param[in] pSrc points to input matrix structure. The source matrix is modified by the function.
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible)
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+ float32_t *pTmpA, *pTmpB;
+
+ float32_t in = 0.0f; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+ uint32_t blkCnt;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+ || (pSrc->numRows != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _ _ _ _ _
+ * | | a11 a12 | | | 1 0 | | | X11 X12 |
+ * | | | | | | | = | |
+ * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+ * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /*
+ * Working pointer for destination matrix
+ */
+ pOutT1 = pOut;
+ /*
+ * Loop over the number of rows
+ */
+ rowCnt = numRows;
+ /*
+ * Making the destination matrix as identity matrix
+ */
+ while (rowCnt > 0U)
+ {
+ /*
+ * Writing all zeroes in lower triangle of the destination matrix
+ */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+ /*
+ * Writing all ones in the diagonal of the destination matrix
+ */
+ *pOutT1++ = 1.0f;
+ /*
+ * Writing all zeroes in upper triangle of the destination matrix
+ */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+ /*
+ * Decrement the loop counter
+ */
+ rowCnt--;
+ }
+
+ /*
+ * Loop over the number of columns of the input matrix.
+ * All the elements in each column are processed by the row operations
+ */
+ loopCnt = numCols;
+ /*
+ * Index modifier to navigate through the columns
+ */
+ l = 0U;
+ while (loopCnt > 0U)
+ {
+ /*
+ * Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular.
+ */
+
+ /*
+ * Working pointer for the input matrix that points
+ * * to the pivot element of the particular row
+ */
+ pInT1 = pIn + (l * numCols);
+ /*
+ * Working pointer for the destination matrix that points
+ * * to the pivot element of the particular row
+ */
+ pOutT1 = pOut + (l * numCols);
+ /*
+ * Temporary variable to hold the pivot value
+ */
+ in = *pInT1;
+
+
+ /*
+ * Check if the pivot element is zero
+ */
+ if (*pInT1 == 0.0f)
+ {
+ /*
+ * Loop over the number rows present below
+ */
+ for (i = 1U; i < numRows-l; i++)
+ {
+ /*
+ * Update the input and destination pointers
+ */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+ /*
+ * Check if there is a non zero pivot element to
+ * * replace in the rows below
+ */
+ if (*pInT2 != 0.0f)
+ {
+ f32x4_t vecA, vecB;
+ /*
+ * Loop over number of columns
+ * * to the right of the pilot element
+ */
+ pTmpA = pInT1;
+ pTmpB = pInT2;
+ blkCnt = (numCols - l) >> 2;
+ while (blkCnt > 0U)
+ {
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_f32(pTmpB, vecA);
+ vstrwq_f32(pTmpA, vecB);
+
+ pTmpA += 4;
+ pTmpB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numCols - l) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_p_f32(pTmpB, vecA, p0);
+ vstrwq_p_f32(pTmpA, vecB, p0);
+ }
+
+ pInT1 += numCols - l;
+ pInT2 += numCols - l;
+ pTmpA = pOutT1;
+ pTmpB = pOutT2;
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_f32(pTmpB, vecA);
+ vstrwq_f32(pTmpA, vecB);
+ pTmpA += 4;
+ pTmpB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecA = vldrwq_f32(pTmpA);
+ vecB = vldrwq_f32(pTmpB);
+ vstrwq_p_f32(pTmpB, vecA, p0);
+ vstrwq_p_f32(pTmpA, vecB, p0);
+ }
+
+ pOutT1 += numCols;
+ pOutT2 += numCols;
+ /*
+ * Flag to indicate whether exchange is done or not
+ */
+ flag = 1U;
+
+ /*
+ * Break after exchange is done
+ */
+ break;
+ }
+
+ }
+ }
+
+ /*
+ * Update the status if the matrix is singular
+ */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /*
+ * Points to the pivot row of input and destination matrices
+ */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /*
+ * Temporary pointers to the pivot row pointers
+ */
+ pInT1 = pPivotRowIn;
+ pOutT1 = pPivotRowDst;
+
+ /*
+ * Pivot element of the row
+ */
+ in = *(pIn + (l * numCols));
+
+ pTmpA = pInT1;
+
+ f32x4_t invIn = vdupq_n_f32(1.0f / in);
+
+ blkCnt = (numCols - l) >> 2;
+ f32x4_t vecA;
+ while (blkCnt > 0U)
+ {
+ *(f32x4_t *) pTmpA = *(f32x4_t *) pTmpA * invIn;
+ pTmpA += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = (numCols - l) & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+
+ vecA = vldrwq_f32(pTmpA);
+ vecA = vecA * invIn;
+ vstrwq_p_f32(pTmpA, vecA, p0);
+ }
+
+ pInT1 += numCols - l;
+ /*
+ * Loop over number of columns
+ * * to the right of the pilot element
+ */
+
+ pTmpA = pOutT1;
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ *(f32x4_t *) pTmpA = *(f32x4_t *) pTmpA *invIn;
+ pTmpA += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecA = vldrwq_f32(pTmpA);
+ vecA = vecA * invIn;
+ vstrwq_p_f32(pTmpA, vecA, p0);
+ }
+
+ pOutT1 += numCols;
+
+ /*
+ * Replace the rows with the sum of that row and a multiple of row i
+ * * so that each new element in column i above row i is zero.
+ */
+
+ /*
+ * Temporary pointers for input and destination matrices
+ */
+ pInT1 = pIn;
+ pOutT1 = pOut;
+
+ for (i = 0U; i < numRows; i++)
+ {
+ /*
+ * Check for the pivot element
+ */
+ if (i == l)
+ {
+ /*
+ * If the processing element is the pivot element,
+ * only the columns to the right are to be processed
+ */
+ pInT1 += numCols - l;
+ pOutT1 += numCols;
+ }
+ else
+ {
+ /*
+ * Element of the reference row
+ */
+
+ /*
+ * Working pointers for input and destination pivot rows
+ */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+ /*
+ * Loop over the number of columns to the right of the pivot element,
+ * to replace the elements in the input matrix
+ */
+
+ in = *pInT1;
+ f32x4_t tmpV = vdupq_n_f32(in);
+
+ blkCnt = (numCols - l) >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+ /*
+ * Replace the element by the sum of that row
+ * and a multiple of the reference row
+ */
+ vec1 = vldrwq_f32(pInT1);
+ vec2 = vldrwq_f32(pPRT_in);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_f32(pInT1, vec1);
+ pPRT_in += 4;
+ pInT1 += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numCols - l) & 3;
+ if (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vec1 = vldrwq_f32(pInT1);
+ vec2 = vldrwq_f32(pPRT_in);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_p_f32(pInT1, vec1, p0);
+ pInT1 += blkCnt;
+ }
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+
+ /*
+ * Replace the element by the sum of that row
+ * and a multiple of the reference row
+ */
+ vec1 = vldrwq_f32(pOutT1);
+ vec2 = vldrwq_f32(pPRT_pDst);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_f32(pOutT1, vec1);
+ pPRT_pDst += 4;
+ pOutT1 += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ f32x4_t vec1, vec2;
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vec1 = vldrwq_f32(pOutT1);
+ vec2 = vldrwq_f32(pPRT_pDst);
+ vec1 = vfmsq_f32(vec1, tmpV, vec2);
+ vstrwq_p_f32(pOutT1, vec1, p0);
+
+ pInT2 += blkCnt;
+ pOutT1 += blkCnt;
+ }
+ }
+ /*
+ * Increment the temporary input pointer
+ */
+ pInT1 = pInT1 + l;
+ }
+ /*
+ * Increment the input pointer
+ */
+ pIn++;
+ /*
+ * Decrement the loop counter
+ */
+ loopCnt--;
+ /*
+ * Increment the index modifier
+ */
+ l++;
+ }
+
+ /*
+ * Set status as ARM_MATH_SUCCESS
+ */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0f)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+
+
+ float32_t Xchg, in = 0.0f, in1; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+ float32x4_t vec1;
+ float32x4_t vec2;
+ float32x4_t tmpV;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+ || (pSrc->numRows != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _
+ * | a11 a12 | 1 0 | | X11 X12 |
+ * | | | = | |
+ * |_ a21 a22 | 0 1 _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+ * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0f;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Decrement the loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0f)
+ {
+ /* Loop over the number rows present below */
+ for (i = 1U; i < numRows - l; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0f)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = numCols - l;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the destination matrix */
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pInT2 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *pPivotRowIn;
+ tmpV = vdupq_n_f32(1.0f/in);
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = (numCols - l) >> 2;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ vec1 = vld1q_f32(pInT1);
+
+ vec1 = vmulq_f32(vec1, tmpV);
+ vst1q_f32(pInT1, vec1);
+ pInT1 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = (numCols - l) & 3;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ in1 = *pInT1;
+ *pInT1++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols >> 2;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ vec1 = vld1q_f32(pInT2);
+
+ vec1 = vmulq_f32(vec1, tmpV);
+ vst1q_f32(pInT2, vec1);
+ pInT2 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = numCols & 3;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ in1 = *pInT2;
+ *pInT2++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pInT2 = pOut;
+
+ /* index used to check for pivot element */
+ i = 0U;
+
+ /* Loop over number of rows */
+ /* to be replaced by the sum of that row and a multiple of row i */
+ k = numRows;
+
+ while (k > 0U)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+
+ pInT2 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+ tmpV = vdupq_n_f32(in);
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ j = (numCols - l) >> 2;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ vec1 = vld1q_f32(pInT1);
+ vec2 = vld1q_f32(pPRT_in);
+ vec1 = vmlsq_f32(vec1, tmpV, vec2);
+ vst1q_f32(pInT1, vec1);
+ pPRT_in += 4;
+ pInT1 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = (numCols - l) & 3;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT1;
+ *pInT1++ = in1 - (in * *pPRT_in++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ j = numCols >> 2;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ vec1 = vld1q_f32(pInT2);
+ vec2 = vld1q_f32(pPRT_pDst);
+ vec1 = vmlsq_f32(vec1, tmpV, vec2);
+ vst1q_f32(pInT2, vec1);
+ pPRT_pDst += 4;
+ pInT2 += 4;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Tail */
+ j = numCols & 3;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT2;
+ *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ }
+
+ /* Increment the temporary input pointer */
+ pInT1 = pInT1 + l;
+
+ /* Decrement the loop counter */
+ k--;
+
+ /* Increment the pivot index */
+ i++;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0f)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+
+#if defined (ARM_MATH_DSP)
+
+ float32_t Xchg, in = 0.0f, in1; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k,l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _
+ * | a11 a12 | 1 0 | | X11 X12 |
+ * | | | = | |
+ * |_ a21 a22 | 0 1 _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+ * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0f;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0f)
+ {
+ /* Loop over the number rows present below */
+
+ for (i = 1U; i < numRows - l; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0f)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = numCols - l;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the destination matrix */
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+
+ /* Decrement loop counter */
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pInT2 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *pPivotRowIn;
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ in1 = *pInT1;
+ *pInT1++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ in1 = *pInT2;
+ *pInT2++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pInT2 = pOut;
+
+ /* index used to check for pivot element */
+ i = 0U;
+
+ /* Loop over number of rows */
+ /* to be replaced by the sum of that row and a multiple of row i */
+ k = numRows;
+
+ while (k > 0U)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+
+ pInT2 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT1;
+ *pInT1++ = in1 - (in * *pPRT_in++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT2;
+ *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+
+ /* Decrement loop counter */
+ k--;
+
+ /* Increment pivot index */
+ i++;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+
+#else
+
+ float32_t Xchg, in = 0.0f; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _ _ _ _ _
+ * | | a11 a12 | | | 1 0 | | | X11 X12 |
+ * | | | | | | | = | |
+ * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+ * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0f;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0f;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0f)
+ {
+ /* Loop over the number rows present below */
+ for (i = 1U; i < numRows-l; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0f)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+ }
+
+ for (j = 0U; j < numCols; j++)
+ {
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+ }
+ }
+
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pOutT1 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *(pIn + (l * numCols));
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ *pInT1 = *pInT1 / in;
+ pInT1++;
+ }
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ *pOutT1 = *pOutT1 / in;
+ pOutT1++;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pOutT1 = pOut;
+
+ for (i = 0U; i < numRows; i++)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+ pOutT1 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pInT1 = *pInT1 - (in * *pPRT_in++);
+ pInT1++;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+ pOutT1++;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0f))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0f)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixInv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c
new file mode 100644
index 00000000..bf99a792
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c
@@ -0,0 +1,644 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_inverse_f64.c
+ * Description: Floating-point matrix inverse
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ @brief Floating-point (64 bit) matrix inverse.
+ @param[in] pSrc points to input matrix structure. The source matrix is modified by the function.
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible)
+ */
+
+arm_status arm_mat_inverse_f64(
+ const arm_matrix_instance_f64 * pSrc,
+ arm_matrix_instance_f64 * pDst)
+{
+ float64_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float64_t *pOut = pDst->pData; /* output data matrix pointer */
+ float64_t *pInT1, *pInT2; /* Temporary input data matrix pointer */
+ float64_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */
+ float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */
+ uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */
+ uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */
+
+#if defined (ARM_MATH_DSP)
+
+ float64_t Xchg, in = 0.0, in1; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, k,l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _
+ * | a11 a12 | 1 0 | | X11 X12 |
+ * | | | = | |
+ * |_ a21 a22 | 0 1 _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+ * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0)
+ {
+ /* Loop over the number rows present below */
+
+ for (i = 1U; i < numRows - l; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = numCols - l;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Exchange the row elements of the destination matrix */
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+
+
+ /* Decrement loop counter */
+ }
+ }
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pInT2 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *pPivotRowIn;
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ in1 = *pInT1;
+ *pInT1++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over number of columns of the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ in1 = *pInT2;
+ *pInT2++ = in1 / in;
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pInT2 = pOut;
+
+ /* index used to check for pivot element */
+ i = 0U;
+
+ /* Loop over number of rows */
+ /* to be replaced by the sum of that row and a multiple of row i */
+ k = numRows;
+
+ while (k > 0U)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+
+ pInT2 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ j = (numCols - l);
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT1;
+ *pInT1++ = in1 - (in * *pPRT_in++);
+
+ /* Decrement the loop counter */
+ j--;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ j = numCols;
+
+ while (j > 0U)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ in1 = *pInT2;
+ *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+ /* Decrement loop counter */
+ j--;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+
+ /* Decrement loop counter */
+ k--;
+
+ /* Increment pivot index */
+ i++;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+
+#else
+
+ float64_t Xchg, in = 0.0; /* Temporary input values */
+ uint32_t i, rowCnt, flag = 0U, j, loopCnt, l; /* loop counters */
+ arm_status status; /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pDst->numRows != pDst->numCols) ||
+ (pSrc->numRows != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ /*--------------------------------------------------------------------------------------------------------------
+ * Matrix Inverse can be solved using elementary row operations.
+ *
+ * Gauss-Jordan Method:
+ *
+ * 1. First combine the identity matrix and the input matrix separated by a bar to form an
+ * augmented matrix as follows:
+ * _ _ _ _ _ _ _ _
+ * | | a11 a12 | | | 1 0 | | | X11 X12 |
+ * | | | | | | | = | |
+ * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _|
+ *
+ * 2. In our implementation, pDst Matrix is used as identity matrix.
+ *
+ * 3. Begin with the first row. Let i = 1.
+ *
+ * 4. Check to see if the pivot for row i is zero.
+ * The pivot is the element of the main diagonal that is on the current row.
+ * For instance, if working with row i, then the pivot element is aii.
+ * If the pivot is zero, exchange that row with a row below it that does not
+ * contain a zero in column i. If this is not possible, then an inverse
+ * to that matrix does not exist.
+ *
+ * 5. Divide every element of row i by the pivot.
+ *
+ * 6. For every row below and row i, replace that row with the sum of that row and
+ * a multiple of row i so that each new element in column i below row i is zero.
+ *
+ * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+ * for every element below and above the main diagonal.
+ *
+ * 8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+ * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+ *----------------------------------------------------------------------------------------------------------------*/
+
+ /* Working pointer for destination matrix */
+ pOutT1 = pOut;
+
+ /* Loop over the number of rows */
+ rowCnt = numRows;
+
+ /* Making the destination matrix as identity matrix */
+ while (rowCnt > 0U)
+ {
+ /* Writing all zeroes in lower triangle of the destination matrix */
+ j = numRows - rowCnt;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Writing all ones in the diagonal of the destination matrix */
+ *pOutT1++ = 1.0;
+
+ /* Writing all zeroes in upper triangle of the destination matrix */
+ j = rowCnt - 1U;
+ while (j > 0U)
+ {
+ *pOutT1++ = 0.0;
+ j--;
+ }
+
+ /* Decrement loop counter */
+ rowCnt--;
+ }
+
+ /* Loop over the number of columns of the input matrix.
+ All the elements in each column are processed by the row operations */
+ loopCnt = numCols;
+
+ /* Index modifier to navigate through the columns */
+ l = 0U;
+
+ while (loopCnt > 0U)
+ {
+ /* Check if the pivot element is zero..
+ * If it is zero then interchange the row with non zero row below.
+ * If there is no non zero element to replace in the rows below,
+ * then the matrix is Singular. */
+
+ /* Working pointer for the input matrix that points
+ * to the pivot element of the particular row */
+ pInT1 = pIn + (l * numCols);
+
+ /* Working pointer for the destination matrix that points
+ * to the pivot element of the particular row */
+ pOutT1 = pOut + (l * numCols);
+
+ /* Temporary variable to hold the pivot value */
+ in = *pInT1;
+
+ /* Check if the pivot element is zero */
+ if (*pInT1 == 0.0)
+ {
+ /* Loop over the number rows present below */
+ for (i = 1U; i < numRows-l; i++)
+ {
+ /* Update the input and destination pointers */
+ pInT2 = pInT1 + (numCols * i);
+ pOutT2 = pOutT1 + (numCols * i);
+
+ /* Check if there is a non zero pivot element to
+ * replace in the rows below */
+ if (*pInT2 != 0.0)
+ {
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Exchange the row elements of the input matrix */
+ Xchg = *pInT2;
+ *pInT2++ = *pInT1;
+ *pInT1++ = Xchg;
+ }
+
+ for (j = 0U; j < numCols; j++)
+ {
+ Xchg = *pOutT2;
+ *pOutT2++ = *pOutT1;
+ *pOutT1++ = Xchg;
+ }
+
+ /* Flag to indicate whether exchange is done or not */
+ flag = 1U;
+
+ /* Break after exchange is done */
+ break;
+ }
+ }
+ }
+
+
+ /* Update the status if the matrix is singular */
+ if ((flag != 1U) && (in == 0.0))
+ {
+ return ARM_MATH_SINGULAR;
+ }
+
+ /* Points to the pivot row of input and destination matrices */
+ pPivotRowIn = pIn + (l * numCols);
+ pPivotRowDst = pOut + (l * numCols);
+
+ /* Temporary pointers to the pivot row pointers */
+ pInT1 = pPivotRowIn;
+ pOutT1 = pPivotRowDst;
+
+ /* Pivot element of the row */
+ in = *(pIn + (l * numCols));
+
+ /* Loop over number of columns
+ * to the right of the pilot element */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Divide each element of the row of the input matrix
+ * by the pivot element */
+ *pInT1 = *pInT1 / in;
+ pInT1++;
+ }
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Divide each element of the row of the destination matrix
+ * by the pivot element */
+ *pOutT1 = *pOutT1 / in;
+ pOutT1++;
+ }
+
+ /* Replace the rows with the sum of that row and a multiple of row i
+ * so that each new element in column i above row i is zero.*/
+
+ /* Temporary pointers for input and destination matrices */
+ pInT1 = pIn;
+ pOutT1 = pOut;
+
+ for (i = 0U; i < numRows; i++)
+ {
+ /* Check for the pivot element */
+ if (i == l)
+ {
+ /* If the processing element is the pivot element,
+ only the columns to the right are to be processed */
+ pInT1 += numCols - l;
+ pOutT1 += numCols;
+ }
+ else
+ {
+ /* Element of the reference row */
+ in = *pInT1;
+
+ /* Working pointers for input and destination pivot rows */
+ pPRT_in = pPivotRowIn;
+ pPRT_pDst = pPivotRowDst;
+
+ /* Loop over the number of columns to the right of the pivot element,
+ to replace the elements in the input matrix */
+ for (j = 0U; j < (numCols - l); j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pInT1 = *pInT1 - (in * *pPRT_in++);
+ pInT1++;
+ }
+
+ /* Loop over the number of columns to
+ replace the elements in the destination matrix */
+ for (j = 0U; j < numCols; j++)
+ {
+ /* Replace the element by the sum of that row
+ and a multiple of the reference row */
+ *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+ pOutT1++;
+ }
+
+ }
+
+ /* Increment temporary input pointer */
+ pInT1 = pInT1 + l;
+ }
+
+ /* Increment the input pointer */
+ pIn++;
+
+ /* Decrement the loop counter */
+ loopCnt--;
+
+ /* Increment the index modifier */
+ l++;
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ if ((flag != 1U) && (in == 0.0))
+ {
+ pIn = pSrc->pData;
+ for (i = 0; i < numRows * numCols; i++)
+ {
+ if (pIn[i] != 0.0)
+ break;
+ }
+
+ if (i == numRows * numCols)
+ status = ARM_MATH_SINGULAR;
+ }
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixInv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_ldlt_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_ldlt_f32.c
new file mode 100644
index 00000000..1d3586c6
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_ldlt_f32.c
@@ -0,0 +1,509 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_ldl_f32.c
+ * Description: Floating-point LDL decomposition
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+
+
+
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+
+/// @private
+#define SWAP_ROWS_F32(A,i,j) \
+ { \
+ int cnt = n; \
+ \
+ for(int w=0;w < n; w+=4) \
+ { \
+ f32x4_t tmpa,tmpb; \
+ mve_pred16_t p0 = vctp32q(cnt); \
+ \
+ tmpa=vldrwq_z_f32(&A[i*n + w],p0);\
+ tmpb=vldrwq_z_f32(&A[j*n + w],p0);\
+ \
+ vstrwq_p(&A[i*n + w], tmpb, p0); \
+ vstrwq_p(&A[j*n + w], tmpa, p0); \
+ \
+ cnt -= 4; \
+ } \
+ }
+
+/// @private
+#define SWAP_COLS_F32(A,i,j) \
+ for(int w=0;w < n; w++) \
+ { \
+ float32_t tmp; \
+ tmp = A[w*n + i]; \
+ A[w*n + i] = A[w*n + j];\
+ A[w*n + j] = tmp; \
+ }
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixChol
+ @{
+ */
+
+/**
+ * @brief Floating-point LDL^t decomposition of positive semi-definite matrix.
+ * @param[in] pSrc points to the instance of the input floating-point matrix structure.
+ * @param[out] pl points to the instance of the output floating-point triangular matrix structure.
+ * @param[out] pd points to the instance of the output floating-point diagonal matrix structure.
+ * @param[out] pp points to the instance of the output floating-point permutation vector.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ - \ref ARM_MATH_DECOMPOSITION_FAILURE : Input matrix cannot be decomposed
+ * @par
+ * Computes the LDL^t decomposition of a matrix A such that P A P^t = L D L^t.
+ */
+arm_status arm_mat_ldlt_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pl,
+ arm_matrix_instance_f32 * pd,
+ uint16_t * pp)
+{
+
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pSrc->numCols) ||
+ (pl->numRows != pl->numCols) ||
+ (pd->numRows != pd->numCols) ||
+ (pl->numRows != pd->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ const int n=pSrc->numRows;
+ int fullRank = 1, diag,k;
+ float32_t *pA;
+
+ memset(pd->pData,0,sizeof(float32_t)*n*n);
+ memcpy(pl->pData,pSrc->pData,n*n*sizeof(float32_t));
+ pA = pl->pData;
+
+ int cnt = n;
+ uint16x8_t vecP;
+
+ for(int k=0;k < n; k+=8)
+ {
+ mve_pred16_t p0;
+ p0 = vctp16q(cnt);
+
+ vecP = vidupq_u16((uint16_t)k, 1);
+
+ vstrhq_p(&pp[k], vecP, p0);
+
+ cnt -= 8;
+ }
+
+
+ for(k=0;k < n; k++)
+ {
+ /* Find pivot */
+ float32_t m=F32_MIN,a;
+ int j=k;
+
+
+ for(int r=k;rARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+__STATIC_FORCEINLINE arm_status arm_mat_mult_f16_2x2_mve(
+ const arm_matrix_instance_f16 *pSrcA,
+ const arm_matrix_instance_f16 *pSrcB,
+ arm_matrix_instance_f16 *pDst)
+{
+ static const uint16_t offsetA[8] = { 0, 0, 2, 2, 0, 0, 2, 2 };
+ /* offsetB allows to read and duplicate 1 row of B */
+ static const uint16_t offsetB[8] = { 0, 1, 0, 1, 0, 1, 0, 1 };
+ uint16x8_t vecOffsA, vecOffsB;
+ f16x8_t vecInA, vecInB, vecDst;
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ /*
+ * load initial offsets
+ */
+ vecOffsA = vldrhq_u16((uint16_t const *) offsetA);
+ vecOffsB = vldrhq_u16((uint16_t const *) offsetB);
+ /*
+ * load {a00 a00 a10 a10 x x x x }
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * load {b00 b01 b00 b01 x x x x }
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 a00 b01
+ * a10 b00 a10 b01
+ * x x
+ * x x }
+ */
+ vecDst = vmulq(vecInA, vecInB);
+ /*
+ * move to 2nd column of matrix A
+ */
+ vecOffsA = vaddq_n_u16(vecOffsA, (uint16_t) 1);
+ /*
+ * load {a01 a01 a11 a11 x x x x}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * move to next B row
+ */
+ vecOffsB = vaddq_n_u16(vecOffsB, (uint16_t) 2);
+ /*
+ * load {b10, b11, b10, b11, x x x x }
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 + a01 b10 a00 b01 + a01 b11
+ * a10 b00 + a11 b10 a10 b01 + a11 b11
+ * x x
+ * x x }
+ */
+ vecDst = vfmaq(vecDst, vecInA, vecInB);
+
+ mve_pred16_t p0 = vctp16q(2*2);
+ /*
+ * Store the result in the destination buffer
+ * (lower half of the vector)
+ */
+ vstrhq_p(pOut, vecDst, p0);
+
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+
+__STATIC_FORCEINLINE arm_status arm_mat_mult_f16_3x3_mve(
+ const arm_matrix_instance_f16 *pSrcA,
+ const arm_matrix_instance_f16 *pSrcB,
+ arm_matrix_instance_f16 *pDst)
+{
+ static const uint16_t offsetA[8] = { 0, 0, 0, 3, 3, 3, 6, 6 };
+ /* offsetB allows to read and duplicate 1 row of B */
+ static const uint16_t offsetB[8] = { 0, 1, 2, 0, 1, 2, 0, 1 };
+ uint16x8_t vecOffsA, vecOffsB;
+ f16x8_t vecInA, vecInB, vecDst;
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ /*
+ * load initial offsets
+ */
+ vecOffsA = vldrhq_u16((uint16_t const *) offsetA);
+ vecOffsB = vldrhq_u16((uint16_t const *) offsetB);
+
+ /*
+ * load {a00 a00 a00 a10 a10 a10 a20 a20}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * load {b00 b01 b02 b00 b01 b02 b00 b01}
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 a00 b01 a00 b02
+ * a10 b00 a10 b01 a10 b02
+ * a20 b00 a20 b01}
+ */
+ vecDst = vmulq(vecInA, vecInB);
+
+ /*
+ * move to 2nd column of matrix A
+ */
+ vecOffsA = vaddq_n_u16(vecOffsA, (uint16_t) 1);
+ /*
+ * load {a01 a01 a01 a11 a11 a11 a21 a21}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * move to next B row
+ */
+ vecOffsB = vaddq_n_u16(vecOffsB, (uint16_t) 3);
+ /*
+ * load {b10, b11, b12, b10, b11, b12, b10, b11}
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 + a01 b10 a00 b01 + a01 b11 a00 b02 + a01 b12
+ * a10 b00 + a11 b10 a10 b01 + a11 b11 a10 b02 + a11 b12
+ * a20 b00 + a21 b10 a20 b01 + a21 b11 }
+ */
+ vecDst = vfmaq(vecDst, vecInA, vecInB);
+ /*
+ * move to 3rd column of matrix A
+ */
+ vecOffsA = vaddq_n_u16(vecOffsA, (uint16_t) 1);
+ /*
+ * load {a02 a02 a02 a12 a12 a12 a22 a22}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * move to next B row
+ */
+ vecOffsB = vaddq_n_u16(vecOffsB, (uint16_t) 3);
+ /*
+ * load {b20, b21, b22, b20, b21, b22, b20, b21}
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * {a00 b00 + a01 b10 + a02 b20 a00 b01 + a01 b11 + a02 b21 a00 b02 + a01 b12 + a02 b22},
+ * a10 b00 + a11 b10 + a12 b20 a10 b01 + a11 b11 + a12 b21 a10 b02 + a11 b12 + a12 b22},
+ * a20 b00 + a21 b10 + a22 b20 a20 b01 + a21 b11 + a22 b21 }
+ */
+ vecDst = vfmaq(vecDst, vecInA, vecInB);
+
+ /*
+ * Store the result in the destination buffer
+ */
+ vst1q(pOut, vecDst); pOut += 8;
+
+ /* last element computed in scalar mode
+ * a20 b02 + a21 b12 + a22 b22
+ */
+ _Float16 * pA = (_Float16 *)pSrcA->pData;
+ _Float16 * pB = (_Float16 *)pSrcB->pData;
+ *pOut = pA[2*3] * pB[2] + pA[2*3+1] * pB[3+2] + pA[2*3+2] * pB[2*3+2];
+
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+
+
+__STATIC_FORCEINLINE arm_status arm_mat_mult_f16_4x4_mve(
+ const arm_matrix_instance_f16 *pSrcA,
+ const arm_matrix_instance_f16 *pSrcB,
+ arm_matrix_instance_f16 *pDst)
+{
+ /* offsetA allows to read and duplicate 2 successive column elements of A */
+ static const uint16_t offsetA[8] = { 0, 0, 0, 0, 4, 4, 4, 4 };
+ /* offsetB allows to read and duplicate 1 row of B */
+ static const uint16_t offsetB[8] = { 0, 1, 2, 3, 0, 1, 2, 3 };
+ uint16x8_t vecOffsA, vecOffsB;
+ f16x8_t vecInA, vecInB, vecDst0, vecDst1;
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ /*
+ * load initial offsets
+ */
+ vecOffsA = vldrhq_u16((uint16_t const *) offsetA);
+ vecOffsB = vldrhq_u16((uint16_t const *) offsetB);
+
+ /*
+ * load {a00 a00 a00 a00 a10 a10 a10 a10}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * load {b00 b01 b02 b03 b00 b01 b02 b03}
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 a00 b01 a00 b02 a00 b03
+ * a10 b00 a10 b01 a10 b02 a10 b03 }
+ */
+ vecDst0 = vmulq(vecInA, vecInB);
+ /*
+ * jump 2 x A rows (2nd half of matrix)
+ */
+ vecOffsA = vaddq_n_u16(vecOffsA, (uint16_t) 8);
+ /*
+ * load {a20 a20 a20 a20 a30 a30 a30 a30}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * { a20 b00 a20 b01 a20 b02 a20 b03
+ * a30 b00 a30 b01 a30 b02 + a31 b12 }
+ */
+ vecDst1 = vmulq(vecInA, vecInB);
+ /*
+ * rewind back to top half of the A matrix (2nd column)
+ */
+ vecOffsA = vsubq(vecOffsA, (uint16_t) 7);
+ /*
+ * load {a01 a01 a01 a01 a11 a11 a11 a11}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * move to next B row
+ */
+ vecOffsB = vaddq_n_u16(vecOffsB, (uint16_t) 4);
+ /*
+ * load {b10, b11, b12, b13, b10, b11, b12, b13}
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 + a01 b10 a00 b01 + a01 b11 a00 b02 + a01 b12 a00 b03 + a01 b13
+ * a10 b00 + a11 b10 a10 b01 + a11 b11 a10 b02 + a11 b12 a10 b03 + a11 b13 }
+ */
+ vecDst0 = vfmaq(vecDst0, vecInA, vecInB);
+ /*
+ * jump 2 x A rows (2nd half of matrix)
+ */
+ vecOffsA = vaddq_n_u16(vecOffsA, (uint16_t) 8);
+ /*
+ * load {a21 a21 a21 a21 a31 a31 a31 a31}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * {a20 b00 + a21 b10 a20 b01 + a21 b11 a20 b02 + a21 b12 a20 b03 + a21 b13
+ * a30 b00 + a31 b10 a30 b01 + a31 b11 a30 b02 + a31 b12 a30 b03 + a31 b13 }
+ */
+ vecDst1 = vfmaq(vecDst1, vecInA, vecInB);
+
+ /*
+ * rewind back to top half of the A matrix (3rd column)
+ */
+ vecOffsA = vsubq(vecOffsA, (uint16_t) 7);
+ /*
+ * load {a02 a02 a02 a02 a12 a12 a12 a12}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * move to next B row
+ */
+ vecOffsB = vaddq_n_u16(vecOffsB, (uint16_t) 4);
+ /*
+ * load {b20, b21, b22, b23, b20, b21, b22, b23}
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 + a01 b10 + a02 b20 a00 b01 + a01 b11 + a02 b21 a00 b02 + a01 b12 + a02 b22 a00 b03 + a01 b13 + a02 b23
+ * a10 b00 + a11 b10 + a12 b20 a10 b01 + a11 b11 + a12 b21 a10 b02 + a11 b12 + a12 b22 a10 b03 + a11 b13 + a12 b23 }
+ */
+ vecDst0 = vfmaq(vecDst0, vecInA, vecInB);
+ /*
+ * jump 2 x A rows
+ */
+ vecOffsA = vaddq_n_u16(vecOffsA, (uint16_t) 8);
+
+ /*
+ * load {a22 a22 a22 a22 a32 a32 a32 a32}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * {a20 b00 + a21 b10 + a22 b20 a20 b01 + a21 b11 + a22 b21 a20 b02 + a21 b12 + a22 b22 a20 b03 + a21 b13 + a22 b23
+ * a30 b00 + a31 b10 + a32 b20 a30 b01 + a31 b11 + a32 b21 a30 b02 + a31 b12 + a32 b22 a30 b03 + a31 b13 + a32 b23 }
+ */
+ vecDst1 = vfmaq(vecDst1, vecInA, vecInB);
+
+ /*
+ * rewind back to top half of the A matrix (4th column)
+ */
+ vecOffsA = vsubq(vecOffsA, (uint16_t) 7);
+ /*
+ * load {a03 a03 a03 a03 a13 a13 a13 a13}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * move to next B row
+ */
+ vecOffsB = vaddq_n_u16(vecOffsB, (uint16_t) 4);
+ /*
+ * load {b30, b31, b32, b33, b30, b31, b32, b33}
+ */
+ vecInB = vldrhq_gather_shifted_offset((float16_t const *) pSrcB->pData, vecOffsB);
+ /*
+ * { a00 b00 +...+ a03 b30, a00 b01 +...+ a03 b31, a00 b02 +...+ a03 b32, a00 b03 +...+ a03 b33
+ * a10 b00 +...+ a13 b30, a10 b01 +...+ a13 b31, a10 b02 +...+ a13 b32, a10 b03 +...+ a13 b33 }
+ */
+ vecDst0 = vfmaq(vecDst0, vecInA, vecInB);
+ /*
+ * jump 2 x A rows
+ */
+ vecOffsA = vaddq_n_u16(vecOffsA, (uint16_t) 8);
+ /*
+ * load {a23 a23 a23 a23 a33 a33 a33 a33}
+ */
+ vecInA = vldrhq_gather_shifted_offset((float16_t const *) pSrcA->pData, vecOffsA);
+ /*
+ * {a20 b00 +...+ a23 b30, a20 b01 +...+ a23 b31, a20 b02 +...+ a23 b32, a20 b03 +...+ a23 b33
+ * a30 b00 +...+ a33 b30, a30 b01 +...+ a33 b31, a30 b02 +...+ a33 b32, a30 b03 +...+ a33 b33 }
+ */
+ vecDst1 = vfmaq(vecDst1, vecInA, vecInB);
+
+ /*
+ * Store the result in the destination buffer
+ */
+ vst1q(pOut, vecDst0); pOut += 8;
+ vst1q(pOut, vecDst1);
+
+ return (ARM_MATH_SUCCESS);
+}
+
+
+arm_status arm_mat_mult_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float16_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ int numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ int numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ int numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t blkCnt; /* loop counters */
+ int i;
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ return(ARM_MATH_SIZE_MISMATCH);
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+{
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+ if(numRowsA == 2)
+ return arm_mat_mult_f16_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_f16_3x3_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 4)
+ return arm_mat_mult_f16_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ /* main loop process 4 rows */
+ i = numRowsA / 4;
+ while(i > 0)
+ {
+ float16_t *pInA0, *pInA1, *pInA2, *pInA3;
+ float16_t *pInB0;
+ float16_t *pOut0, *pOut1, *pOut2, *pOut3;
+ f16x8_t vecMac0, vecMac1, vecMac2, vecMac3;
+ f16x8_t vecInB;
+
+ /* pointers to 4 consecutive output rows */
+ pOut0 = pOut;
+ pOut1 = pOut0 + numColsB;
+ pOut2 = pOut1 + numColsB;
+ pOut3 = pOut2 + numColsB;
+ pInB0 = pInB;
+
+ int k = numColsB >> 3;
+ while(k > 0)
+ {
+ /* pointers to 4 consecutive Matrix A rows */
+ pInA0 = pInA;
+ pInA1 = pInA0 + numColsA;
+ pInA2 = pInA1 + numColsA;
+ pInA3 = pInA2 + numColsA;
+
+ vecMac0 = vdupq_n_f16(0.0f16);
+ vecMac1 = vdupq_n_f16(0.0f16);
+ vecMac2 = vdupq_n_f16(0.0f16);
+ vecMac3 = vdupq_n_f16(0.0f16);
+
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3..., bi,4n+7}
+ */
+ vecInB = *(f16x8_t *)pInB0; /* vldrhq_f16(pInB0, 0); */
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (4 x 8 block) in the destination buffer */
+ vst1q(pOut0, vecMac0); pOut0 += 8;
+ vst1q(pOut1, vecMac1); pOut1 += 8;
+ vst1q(pOut2, vecMac2); pOut2 += 8;
+ vst1q(pOut3, vecMac3); pOut3 += 8;
+ /*
+ * rewind
+ */
+ pInB0 -= (numColsB * numColsA) - 8;
+ k--;
+ }
+
+ int colBLeft = numColsB & 7;
+ if (colBLeft)
+ {
+ pInA0 = pInA;
+ pInA1 = pInA0 + numColsA;
+ pInA2 = pInA1 + numColsA;
+ pInA3 = pInA2 + numColsA;
+ mve_pred16_t p0 = vctp16q(colBLeft);
+
+ vecMac0 = vdupq_n_f16(0.0f16);
+ vecMac1 = vdupq_n_f16(0.0f16);
+ vecMac2 = vdupq_n_f16(0.0f16);
+ vecMac3 = vdupq_n_f16(0.0f16);
+
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, ..bi,4n+colBLeft-1, 0, ..}
+ */
+ vecInB = vldrhq_z_f16(pInB0, p0);
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (4 x colBLeft block) in the destination buffer */
+ vstrhq_p_f16(pOut0, vecMac0, p0);
+ vstrhq_p_f16(pOut1, vecMac1, p0);
+ vstrhq_p_f16(pOut2, vecMac2, p0);
+ vstrhq_p_f16(pOut3, vecMac3, p0);
+ }
+
+ pInA += 4 * numColsA;
+ pOut += 4 * numColsB;
+ i--;
+ }
+
+ /*
+ * non multiple of 4 rows for Matrix A
+ * process single row
+ */
+ if (numRowsA & 3)
+ {
+ i = numRowsA & 3;
+ do
+ {
+ float16_t *pInA0;
+ float16_t *pInB0;
+ float16_t *pOut0;
+ f16x8_t vecInB;
+ f16x8_t vecMac0;
+
+ pOut0 = pOut;
+ pInB0 = pInB;
+
+ int k = numColsB >> 3;
+ while(k > 0)
+ {
+ pInA0 = pInA;
+
+ vecMac0 = vdupq_n_f16(0.0f16);
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3, ...bi,4n+7}
+ */
+ vecInB = *(f16x8_t *)pInB0; /* vldrhq_f16(pInB0, 0); */
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /* Store the results (1 x 8 block) in the destination buffer */
+ vst1q(pOut0, vecMac0); pOut0 += 8;
+ /*
+ * rewind
+ */
+ pInB0 -= (numColsB * numColsA) - 8;
+ k--;
+ }
+
+ int colBLeft = numColsB & 7;
+ if (colBLeft)
+ {
+ pInA0 = pInA;
+ mve_pred16_t p0 = vctp16q(colBLeft);
+
+ vecMac0 = vdupq_n_f16(0.0f16);
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, ..., bi,4n+colBLeft, 0, ...}
+ */
+ vecInB = vldrhq_z_f16(pInB0, p0);
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /* Store the results (1 x colBLeft block) in the destination buffer */
+ vstrhq_p_f16(pOut0, vecMac0, p0);
+ }
+
+ pInA += 1 * numColsA;
+ pOut += 1 * numColsB;
+ }
+ while (--i);
+ }
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+ }
+}
+#else
+
+
+arm_status arm_mat_mult_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ float16_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ float16_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ float16_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ float16_t *pOut = pDst->pData; /* Output data matrix pointer */
+ float16_t *px; /* Temporary output data matrix pointer */
+ _Float16 sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0.0f16;
+
+ /* Initialize pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 MACs at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (_Float16)*pIn1++ * (_Float16)*pIn2;
+ pIn2 += numColsB;
+
+ sum += (_Float16)*pIn1++ * (_Float16)*pIn2;
+ pIn2 += numColsB;
+
+ sum += (_Float16)*pIn1++ * (_Float16)*pIn2;
+ pIn2 += numColsB;
+
+ sum += (_Float16)*pIn1++ * (_Float16)*pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining MACs */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize cntCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (_Float16)*pIn1++ * (_Float16)*pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = sum;
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixMult group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c
new file mode 100644
index 00000000..d1fd9eac
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c
@@ -0,0 +1,1001 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_f32.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+#if defined(ARM_MATH_NEON)
+#define GROUPOFROWS 8
+#endif
+
+/**
+ * @ingroup groupMatrix
+ */
+
+/**
+ * @defgroup MatrixMult Matrix Multiplication
+ *
+ * Multiplies two matrices.
+ *
+ * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"
+
+ * Matrix multiplication is only defined if the number of columns of the
+ * first matrix equals the number of rows of the second matrix.
+ * Multiplying an M x N matrix with an N x P matrix results
+ * in an M x P matrix.
+ * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of
+ * pSrcA and pSrcB are equal; and (2) that the size of the output
+ * matrix equals the outer dimensions of pSrcA and pSrcB.
+ */
+
+
+/**
+ * @addtogroup MatrixMult
+ * @{
+ */
+
+
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_mult_f32_2x2_mve(
+ const arm_matrix_instance_f32 *pSrcA,
+ const arm_matrix_instance_f32 *pSrcB,
+ arm_matrix_instance_f32 *pDst)
+{
+ /* {a00, a00, a10, a10} */
+ static const uint32_t offsetA0[4] = { 0, 0, 2, 2 };
+ /* {b00, b01, b00, b01} */
+ static const uint32_t offsetB0[4] = { 0, 1, 0, 1 };
+ /* {a01, a01, a11, a11} */
+ static const uint32_t offsetA1[4] = { 1, 1, 3, 3 };
+ /* {b10, b11, b10, b11} */
+ static const uint32_t offsetB1[4] = { 2, 3, 2, 3 };
+
+ uint32x4_t vecOffsA, vecOffsB;
+ f32x4_t vecInA, vecInB, vecDst;
+
+ vecOffsA = vldrwq_u32((uint32_t const *) offsetA0);
+ vecOffsB = vldrwq_u32((uint32_t const *) offsetB0);
+
+ vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA);
+ vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB);
+
+ vecDst = vmulq(vecInA, vecInB);
+
+ vecOffsA = vldrwq_u32((uint32_t const *) offsetA1);
+ vecOffsB = vldrwq_u32((uint32_t const *) offsetB1);
+
+ vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA);
+ vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB);
+
+ vecDst = vfmaq(vecDst, vecInA, vecInB);
+
+ vstrwq_f32(pDst->pData, vecDst);
+
+ return (ARM_MATH_SUCCESS);
+
+}
+
+
+/*
+ * A = {{a00, a01, a02},
+ * {a10, a11, a12},
+ * {a20, a21, a22}}
+ * B = {{b00, b01, b02},
+ * {b10, b11, b12},
+ * {b20, b21, b22}}
+ *
+ * Dst = {{a00 b00 + a01 b10 + a02 b20, a00 b01 + a01 b11 + a02 b21, a00 b02 + a01 b12 + a02 b22},
+ * {a10 b00 + a11 b10 + a12 b20, a10 b01 + a11 b11 + a12 b21, a10 b02 + a11 b12 + a12 b22},
+ * {a20 b00 + a21 b10 + a22 b20, a20 b01 + a21 b11 + a22 b21, a20 b02 + a21 b12 + a22 b22}}
+ */
+__STATIC_INLINE arm_status arm_mat_mult_f32_3x3_mve(
+ const arm_matrix_instance_f32 *pSrcA,
+ const arm_matrix_instance_f32 *pSrcB,
+ arm_matrix_instance_f32 *pDst)
+{
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInA0, *pInA1, *pInA2;
+ f32x4_t vecMac0, vecMac1, vecMac2;
+ f32x4_t vecInB;
+ float32_t const *pSrBVec;
+
+ pSrBVec = (float32_t const *) pInB;
+
+ pInA0 = pInA;
+ pInA1 = pInA0 + MATRIX_DIM3;
+ pInA2 = pInA1 + MATRIX_DIM3;
+ /* enable predication to disable last (4th) vector element */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM3);
+
+ /*
+ * load {b0,0, b0,1, b0,2, 0}
+ */
+ vecInB = vldrwq_z_f32(pSrBVec, p0);
+ pSrBVec += MATRIX_DIM3;
+
+ vecMac0 = vmulq(vecInB, *pInA0++);
+ vecMac1 = vmulq(vecInB, *pInA1++);
+ vecMac2 = vmulq(vecInB, *pInA2++);
+ /*
+ * load {b1,0, b1,1, b1,2, 0}
+ */
+ vecInB = vldrwq_z_f32(pSrBVec, p0);
+ pSrBVec += MATRIX_DIM3;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ /*
+ * load {b2,0, b2,1 , b2,2, 0}
+ */
+ vecInB = vldrwq_z_f32(pSrBVec, p0);
+ pSrBVec += MATRIX_DIM3;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+
+ /* partial vector stores */
+ vstrwq_p_f32(pOut, vecMac0, p0);
+ pOut += MATRIX_DIM3;
+ vstrwq_p_f32(pOut, vecMac1, p0);
+ pOut += MATRIX_DIM3;
+ vstrwq_p_f32(pOut, vecMac2, p0);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+
+__STATIC_INLINE arm_status arm_mat_mult_f32_4x4_mve(
+ const arm_matrix_instance_f32 *pSrcA,
+ const arm_matrix_instance_f32 *pSrcB,
+ arm_matrix_instance_f32 *pDst)
+{
+ float32_t const *pSrBVec;
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *pInA0, *pInA1, *pInA2, *pInA3;
+ f32x4_t vecMac0, vecMac1, vecMac2, vecMac3;
+ f32x4_t vecInB;
+
+ pSrBVec = (float32_t const *) pInB;
+
+ pInA0 = pInA;
+ pInA1 = pInA0 + MATRIX_DIM4;
+ pInA2 = pInA1 + MATRIX_DIM4;
+ pInA3 = pInA2 + MATRIX_DIM4;
+ /*
+ * load {b0,0, b0,1, b0,2, b0,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vmulq(vecInB, *pInA0++);
+ vecMac1 = vmulq(vecInB, *pInA1++);
+ vecMac2 = vmulq(vecInB, *pInA2++);
+ vecMac3 = vmulq(vecInB, *pInA3++);
+ /*
+ * load {b1,0, b1,1, b1,2, b1,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+ /*
+ * load {b2,0, b2,1, b2,2, b2,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+ /*
+ * load {b3,0, b3,1, b3,2, b3,3}
+ */
+ vecInB = vld1q(pSrBVec);
+ pSrBVec += MATRIX_DIM4;
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ vst1q(pOut, vecMac0);
+ pOut += MATRIX_DIM4;
+ vst1q(pOut, vecMac1);
+ pOut += MATRIX_DIM4;
+ vst1q(pOut, vecMac2);
+ pOut += MATRIX_DIM4;
+ vst1q(pOut, vecMac3);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+/**
+ * @brief Floating-point matrix multiplication.
+ * @param[in] *pSrcA points to the first input matrix structure
+ * @param[in] *pSrcB points to the second input matrix structure
+ * @param[out] *pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ int numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ int numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ int numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t blkCnt; /* loop counters */
+ uint32_t i;
+ arm_status status;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+ if (numRowsA == 1)
+ {
+ pOut[0] = pInA[0] * pInB[0];
+ return(ARM_MATH_SUCCESS);
+ }
+ else if(numRowsA == 2)
+ return arm_mat_mult_f32_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_f32_3x3_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 4)
+ return arm_mat_mult_f32_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ /* main loop process 4 rows */
+ i = numRowsA >> 2;
+ while (i > 0U)
+ {
+ float32_t *pInA0, *pInA1, *pInA2, *pInA3;
+ float32_t *pInB0;
+ float32_t *pOut0, *pOut1, *pOut2, *pOut3;
+ f32x4_t vecMac0, vecMac1, vecMac2, vecMac3;
+ f32x4_t vecInB;
+
+ /* pointers to 4 consecutive output rows */
+ pOut0 = pOut;
+ pOut1 = pOut0 + numColsB;
+ pOut2 = pOut1 + numColsB;
+ pOut3 = pOut2 + numColsB;
+ pInB0 = pInB;
+
+ uint32_t k = numColsB >> 2;
+ while (k > 0U)
+ {
+ /* pointers to 4 consecutive Matrix A rows */
+ pInA0 = pInA;
+ pInA1 = pInA0 + numColsA;
+ pInA2 = pInA1 + numColsA;
+ pInA3 = pInA2 + numColsA;
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ vecMac1 = vdupq_n_f32(0.0f);
+ vecMac2 = vdupq_n_f32(0.0f);
+ vecMac3 = vdupq_n_f32(0.0f);
+
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (4 x 4 block) in the destination buffer */
+ vst1q(pOut0, vecMac0);
+ pOut0 += 4;
+ vst1q(pOut1, vecMac1);
+ pOut1 += 4;
+ vst1q(pOut2, vecMac2);
+ pOut2 += 4;
+ vst1q(pOut3, vecMac3);
+ pOut3 += 4;
+
+ /*
+ * rewind
+ */
+ pInB0 -= (numColsB * numColsA) - 4;
+ k--;
+ }
+
+ int colBLeft = numColsB & 3;
+ if (colBLeft)
+ {
+ pInA0 = pInA;
+ pInA1 = pInA0 + numColsA;
+ pInA2 = pInA1 + numColsA;
+ pInA3 = pInA2 + numColsA;
+ mve_pred16_t p0 = vctp32q(colBLeft);
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ vecMac1 = vdupq_n_f32(0.0f);
+ vecMac2 = vdupq_n_f32(0.0f);
+ vecMac3 = vdupq_n_f32(0.0f);
+
+ blkCnt = numColsA;
+
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = vldrwq_z_f32(pInB0, p0);
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+ vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++);
+ vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++);
+ vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (4 x colBLeft block) in the destination buffer */
+ vstrwq_p_f32(pOut0, vecMac0, p0);
+ vstrwq_p_f32(pOut1, vecMac1, p0);
+ vstrwq_p_f32(pOut2, vecMac2, p0);
+ vstrwq_p_f32(pOut3, vecMac3, p0);
+ }
+
+ /* move to next rows */
+ pInA += 4 * numColsA;
+ pOut += 4 * numColsB;
+ i--;
+ }
+
+ /*
+ * non multiple of 4 rows for Matrix A
+ * process single row
+ */
+ if (numRowsA & 3)
+ {
+ i = numRowsA & 3;
+ while (i > 0U)
+ {
+ float32_t *pInA0;
+ float32_t *pInB0;
+ float32_t *pOut0;
+ f32x4_t vecInB;
+ f32x4_t vecMac0;
+
+ pOut0 = pOut;
+ pInB0 = pInB;
+
+ uint32_t k = numColsB >> 2;
+ while (k > 0U)
+ {
+ pInA0 = pInA;
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ blkCnt = numColsA;
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* Store the results (1 x 4 block) in the destination buffer */
+ vst1q(pOut0, vecMac0);
+ pOut0 += 4;
+
+ /*
+ * rewind
+ */
+ pInB0 -= (numColsB * numColsA) - 4;
+ k--;
+ }
+
+ int colBLeft = numColsB & 3;
+ if (colBLeft)
+ {
+ pInA0 = pInA;
+ mve_pred16_t p0 = vctp32q(colBLeft);
+
+ vecMac0 = vdupq_n_f32(0.0f);
+ blkCnt = numColsA;
+ while (blkCnt > 0U)
+ {
+ /*
+ * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3}
+ */
+ vecInB = vldrwq_z_f32(pInB0, p0);
+
+ vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++);
+
+ pInB0 = pInB0 + numColsB;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /* Store the results (1 x colBLeft block) in the destination buffer */
+ vstrwq_p_f32(pOut0, vecMac0, p0);
+ }
+
+ /* move to next row */
+ pInA += 1 * numColsA;
+ pOut += 1 * numColsB;
+ i--;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+
+#if defined(ARM_MATH_NEON)
+/**
+ * @brief Floating-point matrix multiplication.
+ * @param[in] *pSrcA points to the first input matrix structure
+ * @param[in] *pSrcB points to the second input matrix structure
+ * @param[out] *pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ float32_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+
+
+ uint16_t col, i = 0U, j, row = numRowsA, rowCnt, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+ float32x4_t a0V, a1V, a2V, a3V, a4V, a5V, a6V, a7V;
+ float32x4_t acc0,acc1,acc2,acc3,acc4,acc5,acc6,acc7,temp;
+ float32x2_t accum = vdup_n_f32(0);
+ float32_t *pIn1B = pSrcA->pData;
+ float32_t *pIn1C = pSrcA->pData;
+ float32_t *pIn1D = pSrcA->pData;
+ float32_t *pIn1E = pSrcA->pData;
+ float32_t *pIn1F = pSrcA->pData;
+ float32_t *pIn1G = pSrcA->pData;
+ float32_t *pIn1H = pSrcA->pData;
+
+ float32_t *pxB,*pxC, *pxD, *pxE, *pxF, *pxG, *pxH; /* Temporary output data matrix pointer */
+ float32_t sum0,sum1, sum2,sum3, sum4, sum5 , sum6, sum7;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* Row loop */
+ rowCnt = row >> 3;
+
+ while(rowCnt > 0)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + GROUPOFROWS*i;
+ pxB = px + numColsB;
+ pxC = px + 2*numColsB;
+ pxD = px + 3*numColsB;
+ pxE = px + 4*numColsB;
+ pxF = px + 5*numColsB;
+ pxG = px + 6*numColsB;
+ pxH = px + 7*numColsB;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum0 = 0.0f;
+ sum1 = 0.0f;
+ sum2 = 0.0f;
+ sum3 = 0.0f;
+ sum4 = 0.0f;
+ sum5 = 0.0f;
+ sum6 = 0.0f;
+ sum7 = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+ pIn1B = pIn1 + numColsA;
+ pIn1C = pIn1 + 2*numColsA;
+ pIn1D = pIn1 + 3*numColsA;
+ pIn1E = pIn1 + 4*numColsA;
+ pIn1F = pIn1 + 5*numColsA;
+ pIn1G = pIn1 + 6*numColsA;
+ pIn1H = pIn1 + 7*numColsA;
+
+ acc0 = vdupq_n_f32(0.0);
+ acc1 = vdupq_n_f32(0.0);
+ acc2 = vdupq_n_f32(0.0);
+ acc3 = vdupq_n_f32(0.0);
+ acc4 = vdupq_n_f32(0.0);
+ acc5 = vdupq_n_f32(0.0);
+ acc6 = vdupq_n_f32(0.0);
+ acc7 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a0V = vld1q_f32(pIn1);
+ a1V = vld1q_f32(pIn1B);
+ a2V = vld1q_f32(pIn1C);
+ a3V = vld1q_f32(pIn1D);
+ a4V = vld1q_f32(pIn1E);
+ a5V = vld1q_f32(pIn1F);
+ a6V = vld1q_f32(pIn1G);
+ a7V = vld1q_f32(pIn1H);
+
+ pIn1 += 4;
+ pIn1B += 4;
+ pIn1C += 4;
+ pIn1D += 4;
+ pIn1E += 4;
+ pIn1F += 4;
+ pIn1G += 4;
+ pIn1H += 4;
+
+ temp = vsetq_lane_f32(*pIn2,temp,0);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,1);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,2);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,3);
+ pIn2 += numColsB;
+
+ acc0 = vmlaq_f32(acc0,a0V,temp);
+ acc1 = vmlaq_f32(acc1,a1V,temp);
+ acc2 = vmlaq_f32(acc2,a2V,temp);
+ acc3 = vmlaq_f32(acc3,a3V,temp);
+ acc4 = vmlaq_f32(acc4,a4V,temp);
+ acc5 = vmlaq_f32(acc5,a5V,temp);
+ acc6 = vmlaq_f32(acc6,a6V,temp);
+ acc7 = vmlaq_f32(acc7,a7V,temp);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
+ sum0 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1));
+ sum1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2));
+ sum2 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3));
+ sum3 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc4), vget_high_f32(acc4));
+ sum4 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc5), vget_high_f32(acc5));
+ sum5 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc6), vget_high_f32(acc6));
+ sum6 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(acc7), vget_high_f32(acc7));
+ sum7 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA & 3;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ sum0 += *pIn1++ * (*pIn2);
+ sum1 += *pIn1B++ * (*pIn2);
+ sum2 += *pIn1C++ * (*pIn2);
+ sum3 += *pIn1D++ * (*pIn2);
+ sum4 += *pIn1E++ * (*pIn2);
+ sum5 += *pIn1F++ * (*pIn2);
+ sum6 += *pIn1G++ * (*pIn2);
+ sum7 += *pIn1H++ * (*pIn2);
+ pIn2 += numColsB;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* Store the result in the destination buffer */
+ *px++ = sum0;
+ *pxB++ = sum1;
+ *pxC++ = sum2;
+ *pxD++ = sum3;
+ *pxE++ = sum4;
+ *pxF++ = sum5;
+ *pxG++ = sum6;
+ *pxH++ = sum7;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + j;
+
+ /* Decrement the column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update the pointer pInA to point to the starting address of the next row */
+ i = i + numColsB;
+ pInA = pInA + GROUPOFROWS*numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+ }
+
+ /*
+
+ i was the index of a group of rows computed by previous loop.
+ Now i is the index of a row since below code is computing row per row
+ and no more group of row per group of rows.
+
+ */
+
+ i = GROUPOFROWS*i;
+ rowCnt = row & 7;
+
+ while(rowCnt > 0)
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ j = 0U;
+
+ /* Column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0.0f;
+
+ /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+ pIn1 = pInA;
+
+ acc0 = vdupq_n_f32(0.0);
+
+ /* Compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* Matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ a0V = vld1q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
+ pIn1 += 4;
+
+ temp = vsetq_lane_f32(*pIn2,temp,0);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,1);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,2);
+ pIn2 += numColsB;
+ temp = vsetq_lane_f32(*pIn2,temp,3);
+ pIn2 += numColsB;
+
+ acc0 = vmlaq_f32(acc0,a0V,temp);
+
+ /* Decrement the loop count */
+ colCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
+ sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+ sum += *pIn1++ * (*pIn2);
+ pIn2 += numColsB;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* Store the result in the destination buffer */
+ *px++ = sum;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ j++;
+ pIn2 = pSrcB->pData + j;
+
+ /* Decrement the column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+
+ /* Update the pointer pInA to point to the starting address of the next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+/**
+ * @brief Floating-point matrix multiplication.
+ * @param[in] *pSrcA points to the first input matrix structure
+ * @param[in] *pSrcB points to the second input matrix structure
+ * @param[out] *pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ float32_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* Output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ float32_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0.0f;
+
+ /* Initialize pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 MACs at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,p) = a(m,1) * b(1,p) + a(m,2) * b(2,p) + .... + a(m,n) * b(n,p) */
+
+ /* Perform the multiply-accumulates */
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining MACs */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize cntCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,p) = a(m,1) * b(1,p) + a(m,2) * b(2,p) + .... + a(m,n) * b(n,p) */
+
+ /* Perform the multiply-accumulates */
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = sum;
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f64.c
new file mode 100644
index 00000000..a7bdf2d5
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f64.c
@@ -0,0 +1,202 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_f64.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ * @ingroup groupMatrix
+ */
+
+/**
+ * @defgroup MatrixMult Matrix Multiplication
+ *
+ * Multiplies two matrices.
+ *
+ * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"
+
+ * Matrix multiplication is only defined if the number of columns of the
+ * first matrix equals the number of rows of the second matrix.
+ * Multiplying an M x N matrix with an N x P matrix results
+ * in an M x P matrix.
+ * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of
+ * pSrcA and pSrcB are equal; and (2) that the size of the output
+ * matrix equals the outer dimensions of pSrcA and pSrcB.
+ */
+
+
+/**
+ * @addtogroup MatrixMult
+ * @{
+ */
+
+/**
+ * @brief Floating-point matrix multiplication.
+ * @param[in] *pSrcA points to the first input matrix structure
+ * @param[in] *pSrcB points to the second input matrix structure
+ * @param[out] *pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+
+
+arm_status arm_mat_mult_f64(
+ const arm_matrix_instance_f64 * pSrcA,
+ const arm_matrix_instance_f64 * pSrcB,
+ arm_matrix_instance_f64 * pDst)
+{
+ float64_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ float64_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ float64_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ float64_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ float64_t *pOut = pDst->pData; /* Output data matrix pointer */
+ float64_t *px; /* Temporary output data matrix pointer */
+ float64_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint64_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0.0;
+
+ /* Initialize pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 MACs at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining MACs */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize cntCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = sum;
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
new file mode 100644
index 00000000..314b80e5
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
@@ -0,0 +1,483 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_fast_q15.c
+ * Description: Q15 matrix multiplication (fast variant)
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q15 matrix multiplication (fast variant).
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @param[in] pState points to the array for storing intermediate results
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The difference between the function \ref arm_mat_mult_q15() and this fast variant is that
+ the fast variant use a 32-bit rather than a 64-bit accumulator.
+ The result of each 1.15 x 1.15 multiplication is truncated to
+ 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30
+ format. Finally, the accumulator is saturated and converted to a 1.15 result.
+ @par
+ The fast version has the same overflow behavior as the standard version but provides
+ less precision since it discards the low 16 bits of each multiplication result.
+ In order to avoid overflows completely the input signals must be scaled down.
+ Scale down one of the input matrices by log2(numColsA) bits to avoid overflows,
+ as a total of numColsA additions are computed internally for each output element.
+ @remark
+ Refer to \ref arm_mat_mult_q15() for a slower implementation of this function
+ which uses 64-bit accumulation to provide higher precision.
+ */
+
+arm_status arm_mat_mult_fast_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState)
+{
+ q31_t sum; /* Accumulator */
+ q15_t *pSrcBT = pState; /* Input data matrix pointer for transpose */
+ q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint16_t numRowsB = pSrcB->numRows; /* Number of rows of input matrix B */
+ uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in; /* Temporary variable to hold the input value */
+ q31_t inA1, inB1, inA2, inB2;
+ q31_t sum2, sum3, sum4;
+ q15_t *pInA2, *pInB2, *px2;
+ uint32_t j = 0;
+#else
+ q15_t in; /* Temporary variable to hold the input value */
+ q15_t inA1, inB1, inA2, inB2;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose */
+ do
+ {
+ /* The pointer px is set to starting address of column being processed */
+ px = pSrcBT + i;
+
+ /* Apply loop unrolling and exchange columns with row elements */
+ col = numColsB >> 2U;
+
+ /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (col > 0U)
+ {
+
+#if defined (ARM_MATH_DSP)
+
+ /* Read two elements from row */
+ in = read_q15x2_ia (&pInB);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ in = read_q15x2_ia (&pInB);
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* Read one element from row */
+ in = *pInB++;
+
+ /* Store one element in destination */
+ *px = in;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ col = numColsB % 0x4U;
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pInB++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Reset variables for usage in following multiplication process */
+ row = numRowsA;
+ i = 0U;
+ px = pDst->pData;
+
+#if defined (ARM_MATH_DSP)
+ /* Process two rows from matrix A at a time and output two rows at a time */
+ row = row >> 1U;
+ px2 = px + numColsB;
+#endif
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ while (row > 0U)
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+ pInB = pSrcBT;
+
+#if defined (ARM_MATH_DSP)
+ /* Process two (transposed) columns from matrix B at a time */
+ col = col >> 1U;
+ j = 0;
+#endif
+
+ /* column loop */
+ while (col > 0U)
+ {
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate pointer pInA to point to starting address of column being processed */
+ pInA = pSrcA->pData + i;
+
+#if defined (ARM_MATH_DSP)
+ sum2 = 0;
+ sum3 = 0;
+ sum4 = 0;
+ pInB = pSrcBT + j;
+ pInA2 = pInA + numColsA;
+ pInB2 = pInB + numRowsB;
+
+ /* Read in two elements at once - allows dual MAC instruction */
+ colCnt = numColsA >> 1U;
+#else
+ colCnt = numColsA >> 2U;
+#endif
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = read_q15x2_ia (&pInA);
+ inB1 = read_q15x2_ia (&pInB);
+
+ inA2 = read_q15x2_ia (&pInA2);
+ inB2 = read_q15x2_ia (&pInB2);
+
+ /* Multiply and Accumulates */
+ sum = __SMLAD(inA1, inB1, sum);
+ sum2 = __SMLAD(inA1, inB2, sum2);
+ sum3 = __SMLAD(inA2, inB1, sum3);
+ sum4 = __SMLAD(inA2, inB2, sum4);
+#else
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ /* Multiply and Accumulates */
+ sum += inA1 * inB1;
+
+ inA2 = *pInA++;
+ inB2 = *pInB++;
+ sum += inA2 * inB2;
+
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ sum += inA1 * inB1;
+
+ inA2 = *pInA++;
+ inB2 = *pInB++;
+ sum += inA2 * inB2;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* process odd column samples */
+#if defined (ARM_MATH_DSP)
+ if (numColsA & 1U) {
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ inA2 = *pInA2++;
+ inB2 = *pInB2++;
+ sum += inA1 * inB1;
+ sum2 += inA1 * inB2;
+ sum3 += inA2 * inB1;
+ sum4 += inA2 * inB2;
+ }
+#else
+ colCnt = numColsA % 0x4U;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ sum += (q31_t) *pInA++ * *pInB++;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Saturate and store result in destination buffer */
+ *px++ = (q15_t) (sum >> 15);
+
+#if defined (ARM_MATH_DSP)
+ *px++ = (q15_t) (sum2 >> 15);
+ *px2++ = (q15_t) (sum3 >> 15);
+ *px2++ = (q15_t) (sum4 >> 15);
+ j += numRowsB * 2;
+#endif
+
+ /* Decrement column loop counter */
+ col--;
+
+ }
+
+ i = i + numColsA;
+
+#if defined (ARM_MATH_DSP)
+ i = i + numColsA;
+ px = px2 + (numColsB & 1U);
+ px2 = px + numColsB;
+#endif
+
+ /* Decrement row loop counter */
+ row--;
+
+ }
+
+ /* Compute any remaining odd row/column below */
+
+#if defined (ARM_MATH_DSP)
+
+ /* Compute remaining output column */
+ if (numColsB & 1U) {
+
+ /* Avoid redundant computation of last element */
+ row = numRowsA & (~0x1);
+
+ /* Point to remaining unfilled column in output matrix */
+ px = pDst->pData + numColsB-1;
+ pInA = pSrcA->pData;
+
+ /* row loop */
+ while (row > 0)
+ {
+
+ /* point to last column in matrix B */
+ pInB = pSrcBT + numRowsB * (numColsB-1);
+
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Compute 4 columns at once */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = read_q15x2_ia (&pInA);
+ inA2 = read_q15x2_ia (&pInA);
+ inB1 = read_q15x2_ia (&pInB);
+ inB2 = read_q15x2_ia (&pInB);
+
+ sum = __SMLAD(inA1, inB1, sum);
+ sum = __SMLAD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ colCnt = numColsA & 3U;
+ while (colCnt > 0U) {
+ sum += (q31_t) (*pInA++) * (*pInB++);
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px = (q15_t) (sum >> 15);
+ px += numColsB;
+
+ /* Decrement row loop counter */
+ row--;
+ }
+ }
+
+ /* Compute remaining output row */
+ if (numRowsA & 1U) {
+
+ /* point to last row in output matrix */
+ px = pDst->pData + (numColsB) * (numRowsA-1);
+
+ pInB = pSrcBT;
+ col = numColsB;
+ i = 0U;
+
+ /* col loop */
+ while (col > 0)
+ {
+ /* point to last row in matrix A */
+ pInA = pSrcA->pData + (numRowsA-1) * numColsA;
+
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Compute 4 columns at once */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = read_q15x2_ia (&pInA);
+ inA2 = read_q15x2_ia (&pInA);
+ inB1 = read_q15x2_ia (&pInB);
+ inB2 = read_q15x2_ia (&pInB);
+
+ sum = __SMLAD(inA1, inB1, sum);
+ sum = __SMLAD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ colCnt = numColsA % 4U;
+ while (colCnt > 0U) {
+ sum += (q31_t) (*pInA++) * (*pInB++);
+
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = (q15_t) (sum >> 15);
+
+ /* Decrement column loop counter */
+ col--;
+ }
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
new file mode 100644
index 00000000..99a42328
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
@@ -0,0 +1,374 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_fast_q31.c
+ * Description: Q31 matrix multiplication (fast variant)
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 matrix multiplication (fast variant).
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The difference between the function \ref arm_mat_mult_q31() and this fast variant is that
+ the fast variant use a 32-bit rather than a 64-bit accumulator.
+ The result of each 1.31 x 1.31 multiplication is truncated to
+ 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30
+ format. Finally, the accumulator is saturated and converted to a 1.31 result.
+ @par
+ The fast version has the same overflow behavior as the standard version but provides
+ less precision since it discards the low 32 bits of each multiplication result.
+ In order to avoid overflows completely the input signals must be scaled down.
+ Scale down one of the input matrices by log2(numColsA) bits to avoid overflows,
+ as a total of numColsA additions are computed internally for each output element.
+ @remark
+ Refer to \ref arm_mat_mult_q31() for a slower implementation of this function
+ which uses 64-bit accumulation to provide higher precision.
+ */
+
+arm_status arm_mat_mult_fast_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pInA2;
+ q31_t *px; /* Temporary output data matrix pointer */
+ q31_t *px2;
+ q31_t sum1, sum2, sum3, sum4; /* Accumulator */
+ q31_t inA1, inA2, inB1, inB2;
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ px = pDst->pData;
+
+ row = row >> 1U;
+ px2 = px + numColsB;
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ while (row > 0U)
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pInB = pSrcB->pData;
+
+ j = 0U;
+
+ col = col >> 1U;
+
+ /* column loop */
+ while (col > 0U)
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum1 = 0;
+ sum2 = 0;
+ sum3 = 0;
+ sum4 = 0;
+
+ /* Initiate data pointers */
+ pInA = pSrcA->pData + i;
+ pInB = pSrcB->pData + j;
+ pInA2 = pInA + numColsA;
+
+ colCnt = numColsA;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ inA1 = *pInA++;
+ inB1 = pInB[0];
+ inA2 = *pInA2++;
+ inB2 = pInB[1];
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(inA1, inB1, sum1);
+ sum2 = __SMMLA(inA1, inB2, sum2);
+ sum3 = __SMMLA(inA2, inB1, sum3);
+ sum4 = __SMMLA(inA2, inB2, sum4);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+ sum2 = (q31_t) ((((q63_t) sum2 << 32) + ((q63_t) inA1 * inB2)) >> 32);
+ sum3 = (q31_t) ((((q63_t) sum3 << 32) + ((q63_t) inA2 * inB1)) >> 32);
+ sum4 = (q31_t) ((((q63_t) sum4 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
+ *px++ = sum1 << 1;
+ *px++ = sum2 << 1;
+ *px2++ = sum3 << 1;
+ *px2++ = sum4 << 1;
+
+ j += 2;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i = i + (numColsA << 1U);
+ px = px2 + (numColsB & 1U);
+ px2 = px + numColsB;
+
+ /* Decrement row loop counter */
+ row--;
+ }
+
+ /* Compute any remaining odd row/column below */
+
+ /* Compute remaining output column */
+ if (numColsB & 1U) {
+
+ /* Avoid redundant computation of last element */
+ row = numRowsA & (~1U);
+
+ /* Point to remaining unfilled column in output matrix */
+ px = pDst->pData + numColsB-1;
+ pInA = pSrcA->pData;
+
+ /* row loop */
+ while (row > 0)
+ {
+
+ /* point to last column in matrix B */
+ pInB = pSrcB->pData + numColsB-1;
+
+ /* Set variable sum1, that acts as accumulator, to zero */
+ sum1 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 columns at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining column */
+ colCnt = numColsA % 4U;
+
+#else
+
+ /* Initialize colCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U) {
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+ colCnt--;
+ }
+
+ /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
+ *px = sum1 << 1;
+ px += numColsB;
+
+ /* Decrement row loop counter */
+ row--;
+ }
+ }
+
+ /* Compute remaining output row */
+ if (numRowsA & 1U) {
+
+ /* point to last row in output matrix */
+ px = pDst->pData + (numColsB) * (numRowsA-1);
+
+ col = numColsB;
+ i = 0U;
+
+ /* col loop */
+ while (col > 0)
+ {
+
+ /* point to last row in matrix A */
+ pInA = pSrcA->pData + (numRowsA-1) * numColsA;
+ pInB = pSrcB->pData + i;
+
+ /* Set variable sum1, that acts as accumulator, to zero */
+ sum1 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 columns at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = *pInA++;
+ inA2 = *pInA++;
+ inB1 = *pInB;
+ pInB += numColsB;
+ inB2 = *pInB;
+ pInB += numColsB;
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(inA1, inB1, sum1);
+ sum1 = __SMMLA(inA2, inB2, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+ inA1 = *pInA++;
+ inA2 = *pInA++;
+ inB1 = *pInB;
+ pInB += numColsB;
+ inB2 = *pInB;
+ pInB += numColsB;
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(inA1, inB1, sum1);
+ sum1 = __SMMLA(inA2, inB2, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining column */
+ colCnt = numColsA % 4U;
+
+#else
+
+ /* Initialize colCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U) {
+#if defined (ARM_MATH_DSP)
+ sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+ sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+ pInB += numColsB;
+
+ colCnt--;
+ }
+
+ /* Saturate and store the result in the destination buffer */
+ *px++ = sum1 << 1;
+ i++;
+
+ /* Decrement col loop counter */
+ col--;
+ }
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_opt_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_opt_q31.c
new file mode 100644
index 00000000..91b1bcd5
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_opt_q31.c
@@ -0,0 +1,784 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_opt_q31.c
+ * Description: Q31 matrix multiplication
+ *
+ * $Date: 3 Nov 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 matrix multiplication.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @param[in] pState points to the array for storing intermediate results
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit. There is no saturation
+ on intermediate additions. Thus, if the accumulator overflows it wraps around and
+ distorts the result. The input signals should be scaled down to avoid intermediate
+ overflows. The input is thus scaled down by log2(numColsA) bits
+ to avoid overflows, as a total of numColsA additions are performed internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+ @remark
+ Refer to \ref arm_mat_mult_fast_q31() for a faster but less precise implementation of this function.
+ @remark
+ This function is a faster implementation of arm_mat_mult_q31 for MVE but it is requiring
+ additional storage for intermediate results.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_mult_opt_q31_2x2_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM2;
+ q63_t acc0, acc1;
+ q31x4_t vecB, vecA0, vecA1;
+ /* enable predication to disable half of vector elements */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM2);
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM2;
+
+ pInB = pSrcB->pData;
+
+ /* load 1st B column (partial load) */
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ /* load A rows */
+ vecA0 = vldrwq_s32(pInA0);
+ vecA1 = vldrwq_s32(pInA1);
+
+ acc0 = vrmlaldavhq(vecA0, vecB);
+ acc1 = vrmlaldavhq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ pOut[0 * MATRIX_DIM2] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM2] = (q31_t) acc1;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ acc0 = vrmlaldavhq(vecA0, vecB);
+ acc1 = vrmlaldavhq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ pOut[0 * MATRIX_DIM2] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM2] = (q31_t) acc1;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_mult_opt_q31_3x3_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM3;
+ q31_t *pInA2 = pInA1 + MATRIX_DIM3;
+ q63_t acc0, acc1, acc2;
+ q31x4_t vecB, vecA;
+ /* enable predication to disable last (4th) vector element */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM3);
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM3;
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_mult_opt_q31_4x4_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM4;
+ q31_t *pInA2 = pInA1 + MATRIX_DIM4;
+ q31_t *pInA3 = pInA2 + MATRIX_DIM4;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecA;
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 4);
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+arm_status arm_mat_mult_opt_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst,
+ q31_t *pState)
+{
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA2;
+ q31_t *pInB2;
+ q31_t *px; /* Temporary output data matrix pointer */
+ q31_t *px2; /* Temporary output data matrix pointer */
+ uint32_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint32_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint32_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */
+ uint32_t col, i = 0u, j, row = numRowsB; /* loop counters */
+ q31_t *pSrcBT = pState; /* input data matrix pointer for transpose */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* Status of matrix multiplication */
+ arm_matrix_instance_q31 BT;
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ } else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+ if (numRowsA == 1)
+ {
+ q63_t sum = (q63_t) *pInA * *pInB;
+ pDst->pData[0] = (q31_t)(sum >> 31);
+ return (ARM_MATH_SUCCESS);
+ }
+ else if(numRowsA == 2)
+ return arm_mat_mult_opt_q31_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_opt_q31_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_mult_opt_q31_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+
+ /*
+ * Matrix transpose
+ */
+ BT.numRows = numColsB;
+ BT.numCols = numRowsB;
+ BT.pData = pSrcBT;
+
+ arm_mat_trans_q31(pSrcB, &BT);
+
+
+ /*
+ * Reset the variables for the usage in the following multiplication process
+ */
+ i = 0;
+ row = numRowsA >> 1;
+ px = pDst->pData;
+ px2 = px + numColsB;
+
+ /*
+ * main loop
+ * compute 2 x 2 output blocks
+ * with dot products (Matrix A rows * Transposed MAtrix B rows)
+ */
+ while (row > 0u) {
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ * Compute 2 columns and 2 rows in parrallel
+ */
+ col = numColsB >> 1;
+ j = 0;
+
+ /*
+ * column pair loop
+ */
+ while (col > 0u) {
+ q31_t const *pSrcAVec, *pSrcBVec, *pSrcA2Vec, *pSrcB2Vec;
+ q31x4_t vecA, vecA2, vecB, vecB2;
+ q63_t acc0, acc1, acc2, acc3;
+
+ /*
+ * Initiate the pointers
+ * - 2 x consecutive Matrix A rows (i increment is 2 x numColsA)
+ * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB)
+ */
+ pInA = pSrcA->pData + i;
+ pInA2 = pInA + numColsA;
+ pInB = pSrcBT + j;
+ pInB2 = pInB + numRowsB;
+
+
+ pSrcAVec = (q31_t const *) pInA;
+ pSrcA2Vec = (q31_t const *) pInA2;
+ pSrcBVec = (q31_t const *) pInB;
+ pSrcB2Vec = (q31_t const *) pInB2;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ /* load scheduling */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+
+ blkCnt = (numColsA / 4);
+ while (blkCnt > 0U) {
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+ vecA2 = vld1q(pSrcA2Vec);
+ pSrcA2Vec += 4;
+ acc1 = vrmlaldavhaq(acc1, vecA2, vecB);
+ vecB2 = vld1q(pSrcB2Vec);
+ pSrcB2Vec += 4;
+ acc2 = vrmlaldavhaq(acc2, vecA, vecB2);
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ acc3 = vrmlaldavhaq(acc3, vecA2, vecB2);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numColsA & 3);
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vrmlaldavhaq_p(acc0, vecA, vecB, p0);
+ vecA2 = vld1q(pSrcA2Vec);
+ acc1 = vrmlaldavhaq_p(acc1, vecA2, vecB, p0);
+ vecB2 = vld1q(pSrcB2Vec);
+ acc2 = vrmlaldavhaq_p(acc2, vecA, vecB2, p0);
+ vecA = vld1q(pSrcAVec);
+ acc3 = vrmlaldavhaq_p(acc3, vecA2, vecB2, p0);
+ }
+
+ /* Convert to 1.31 */
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ /* Store the results (2 x 2 block) in the destination buffer */
+ *px++ = (q31_t) acc0;
+ *px++ = (q31_t) acc2;
+ *px2++ = (q31_t) acc1;
+ *px2++ = (q31_t) acc3;
+
+ j += numRowsB * 2;
+ /*
+ * Decrement the column pair loop counter
+ */
+ col--;
+
+ }
+
+ i = i + numColsA * 2;
+ px = px2 + (numColsB & 1u);
+ px2 = px + numColsB;
+ /*
+ * Decrement the row pair loop counter
+ */
+ row--;
+ }
+
+ /*
+ * Compute remaining row and/or column below
+ */
+ if (numColsB & 1u) {
+ row = numRowsA & (~0x1); //avoid redundant computation
+ px = pDst->pData + numColsB - 1;
+ i = 0;
+
+ /*
+ * row loop
+ */
+ while (row > 0) {
+ q31_t const *pSrcAVec, *pSrcBVec;
+ q31x4_t vecA, vecB;
+ q63_t acc0;
+
+ /*
+ * point to last column in matrix B
+ */
+ pInB = pSrcBT + numRowsB * (numColsB - 1);
+ pInA = pSrcA->pData + i;
+
+ pSrcAVec = (q31_t const *) pInA;
+ pSrcBVec = (q31_t const *) pInB;
+
+ /* single dot-product */
+ acc0 = 0LL;
+ blkCnt = (numColsA / 4);
+ while (blkCnt > 0U) {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numColsA & 3);
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vrmlaldavhaq_p(acc0, vecA, vecB, p0);
+ }
+
+ acc0 = asrl(acc0, 23);
+ *px = (q31_t) acc0;
+
+ px += numColsB;
+
+ i += numColsA;
+ /*
+ * Decrement the row loop counter
+ */
+ row--;
+ }
+ }
+
+ if (numRowsA & 1u) {
+ col = numColsB;
+ i = 0u;
+ /*
+ * point to last row in output matrix
+ */
+ px = pDst->pData + (numColsB) * (numRowsA - 1);
+ /*
+ * col loop
+ */
+ while (col > 0) {
+ q31_t const *pSrcAVec, *pSrcBVec;
+ q31x4_t vecA, vecB;
+ q63_t acc0;
+
+ /*
+ * point to last row in matrix A
+ */
+ pInA = pSrcA->pData + (numRowsA - 1) * numColsA;
+ pInB = pSrcBT + i;
+
+ /*
+ * Set the variable sum, that acts as accumulator, to zero
+ */
+ pSrcAVec = (q31_t const *) pInA;
+ pSrcBVec = (q31_t const *) pInB;
+ acc0 = 0LL;
+
+ blkCnt = (numColsA / 4);
+ while (blkCnt > 0U) {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = (numColsA & 3);
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vrmlaldavhaq_p(acc0, vecA, vecB, p0);
+ }
+
+ acc0 = asrl(acc0, 23);
+ *px++ = (q31_t) acc0;
+
+ i += numColsA;
+ /*
+ * Decrement the col loop counter
+ */
+ col--;
+ }
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+ /*
+ * Return to application
+ */
+ return (status);
+}
+
+#else
+arm_status arm_mat_mult_opt_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst,
+ q31_t *pState)
+{
+ q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pOut = pDst->pData; /* Output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ q63_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+ (void)pState;
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initialize pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 MACs at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining MACs */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize cntCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Convert result from 2.62 to 1.31 format and store in destination buffer */
+ *px++ = (q31_t) (sum >> 31);
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c
new file mode 100644
index 00000000..e078681d
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c
@@ -0,0 +1,843 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_q15.c
+ * Description: Q15 matrix multiplication
+ *
+ * $Date: 3 Nov 2021
+ * $Revision: V1.10.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q15 matrix multiplication.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @param[in] pState points to the array for storing intermediate results
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator. The inputs to the
+ multiplications are in 1.15 format and multiplications yield a 2.30 result.
+ The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ This approach provides 33 guard bits and there is no risk of overflow.
+ The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits
+ and then saturated to 1.15 format.
+ @par
+ Refer to \ref arm_mat_mult_fast_q15() for a faster but less precise version of this function.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_mult_q15_2x2_mve(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs;
+ q15_t *pInA0 = pInA;
+ q15_t *pInA1 = pInA0 + MATRIX_DIM2;
+ q63_t acc0, acc1;
+ q15x8_t vecB, vecA0, vecA1;
+ mve_pred16_t p0 = vctp16q(MATRIX_DIM2);
+
+ vecColBOffs = vidupq_u16((uint32_t)0, 2); /* MATRIX_DIM2 */
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0);
+
+ vecA0 = vldrhq_s16(pInA0);
+ vecA1 = vldrhq_s16(pInA1);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+
+ pOut[0 * MATRIX_DIM2] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM2] = (q15_t) __SSAT(acc1, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+
+ pOut[0 * MATRIX_DIM2] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM2] = (q15_t) __SSAT(acc1, 16);
+
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_mult_q15_3x3_mve(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs;
+ q15_t *pInA0 = pInA;
+ q15_t *pInA1 = pInA0 + MATRIX_DIM3;
+ q15_t *pInA2 = pInA1 + MATRIX_DIM3;
+ q63_t acc0, acc1, acc2;
+ q15x8_t vecB, vecA0, vecA1, vecA2;
+ mve_pred16_t p0 = vctp16q(MATRIX_DIM3);
+
+ vecColBOffs = vidupq_u16((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM3;
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0);
+
+ vecA0 = vldrhq_s16(pInA0);
+ vecA1 = vldrhq_s16(pInA1);
+ vecA2 = vldrhq_s16(pInA2);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+
+ pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_INLINE arm_status arm_mat_mult_q15_4x4_mve(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16x8_t vecColBOffs;
+ q15_t *pInA0 = pInA;
+ q15_t *pInA1 = pInA0 + MATRIX_DIM4;
+ q15_t *pInA2 = pInA1 + MATRIX_DIM4;
+ q15_t *pInA3 = pInA2 + MATRIX_DIM4;
+ q63_t acc0, acc1, acc2, acc3;
+ q15x8_t vecB, vecA0, vecA1, vecA2, vecA3;
+ mve_pred16_t p0 = vctp16q(MATRIX_DIM4);
+
+ vecColBOffs = vidupq_u16((uint32_t)0, 4);
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0);
+
+ vecA0 = vldrhq_s16(pInA0);
+ vecA1 = vldrhq_s16(pInA1);
+ vecA2 = vldrhq_s16(pInA2);
+ vecA3 = vldrhq_s16(pInA3);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0);
+
+ acc0 = vmlaldavq(vecA0, vecB);
+ acc1 = vmlaldavq(vecA1, vecB);
+ acc2 = vmlaldavq(vecA2, vecB);
+ acc3 = vmlaldavq(vecA3, vecB);
+
+ acc0 = asrl(acc0, 15);
+ acc1 = asrl(acc1, 15);
+ acc2 = asrl(acc2, 15);
+ acc3 = asrl(acc3, 15);
+
+ pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16);
+ pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16);
+ pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16);
+ pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+arm_status arm_mat_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState)
+{
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pInA2;
+ q15_t *pInB2;
+ q15_t *px; /* Temporary output data matrix pointer */
+ q15_t *px2; /* Temporary output data matrix pointer */
+ uint32_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint32_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint32_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */
+ uint32_t col, i = 0u, j, row = numRowsB; /* loop counters */
+ q15_t *pSrcBT = pState; /* input data matrix pointer for transpose */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* Status of matrix multiplication */
+ arm_matrix_instance_q15 BT;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif
+ {
+ /* small squared matrix specialized routines */
+ if (numRowsA == numColsB && numColsB == numColsA) {
+
+ if (numRowsA == 1) {
+ q63_t sum;
+ sum = pInA[0] * pInB[0];
+ pDst->pData[0] = (q15_t) __SSAT((sum >> 15), 16);
+ return (ARM_MATH_SUCCESS);
+ } else if (numRowsA == 2)
+ return arm_mat_mult_q15_2x2_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 3)
+ return arm_mat_mult_q15_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_mult_q15_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ /*
+ * Matrix transpose
+ */
+
+ BT.numRows = numColsB;
+ BT.numCols = numRowsB;
+ BT.pData = pSrcBT;
+
+ arm_mat_trans_q15(pSrcB, &BT);
+
+
+ /*
+ * Reset the variables for the usage in the following multiplication process
+ */
+ i = 0;
+ row = numRowsA >> 1;
+ px = pDst->pData;
+ px2 = px + numColsB;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ while (row > 0u) {
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB >> 1;
+ /*
+ * For every row wise process, the pIn2 pointer is set
+ * to the starting address of the transposed pSrcB data
+ */
+ pInB = pSrcBT;
+ pInB2 = pInB + numRowsB;
+ j = 0;
+
+ /*
+ * column loop
+ */
+ while (col > 0u) {
+ q15_t const *pSrcAVec, *pSrcBVec, *pSrcA2Vec, *pSrcB2Vec;
+ q15x8_t vecA, vecA2, vecB, vecB2;
+ q63_t acc0, acc1, acc2, acc3;
+
+ /*
+ * Initiate the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pInA = pSrcA->pData + i;
+ pInA2 = pInA + numColsA;
+ pInB = pSrcBT + j;
+ pInB2 = pInB + numRowsB;
+
+
+ pSrcAVec = (q15_t const *) pInA;
+ pSrcA2Vec = (q15_t const *) pInA2;
+ pSrcBVec = (q15_t const *) pInB;
+ pSrcB2Vec = (q15_t const *) pInB2;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+
+ blkCnt = numColsA / 8;
+ while (blkCnt > 0U) {
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 8;
+ acc0 = vmlaldavaq(acc0, vecA, vecB);
+ vecA2 = vld1q(pSrcA2Vec);
+ pSrcA2Vec += 8;
+ acc1 = vmlaldavaq(acc1, vecA2, vecB);
+ vecB2 = vld1q(pSrcB2Vec);
+ pSrcB2Vec += 8;
+ acc2 = vmlaldavaq(acc2, vecA, vecB2);
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ acc3 = vmlaldavaq(acc3, vecA2, vecB2);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numColsA & 7;
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vmlaldavaq_p(acc0, vecA, vecB, p0);
+ vecA2 = vld1q(pSrcA2Vec);
+ acc1 = vmlaldavaq_p(acc1, vecA2, vecB, p0);
+ vecB2 = vld1q(pSrcB2Vec);
+ acc2 = vmlaldavaq_p(acc2, vecA, vecB2, p0);
+ vecA = vld1q(pSrcAVec);
+ acc3 = vmlaldavaq_p(acc3, vecA2, vecB2, p0);
+ }
+
+ *px++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+ *px++ = (q15_t) MVE_ASRL_SAT16(acc2, 15);
+ *px2++ = (q15_t) MVE_ASRL_SAT16(acc1, 15);
+ *px2++ = (q15_t) MVE_ASRL_SAT16(acc3, 15);
+ j += numRowsB * 2;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+
+ }
+
+ i = i + numColsA * 2;
+ px = px2 + (numColsB & 1u);
+ px2 = px + numColsB;
+ /*
+ * Decrement the row loop counter
+ */
+ row--;
+ }
+
+ /*
+ * Compute remaining row and/or column below
+ */
+
+ if (numColsB & 1u) {
+ row = numRowsA & (~0x1); //avoid redundant computation
+ px = pDst->pData + numColsB - 1;
+ i = 0;
+
+ /*
+ * row loop
+ */
+ while (row > 0) {
+ q15_t const *pSrcAVec, *pSrcBVec;
+ q15x8_t vecA, vecB;
+ q63_t acc0;
+
+ /*
+ * point to last column in matrix B
+ */
+ pInB = pSrcBT + numRowsB * (numColsB - 1);
+ pInA = pSrcA->pData + i;
+
+ pSrcAVec = (q15_t const *) pInA;
+ pSrcBVec = (q15_t const *) pInB;
+
+ acc0 = 0LL;
+ blkCnt = (numColsA) / 8;
+ while (blkCnt > 0U) {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 8;
+ acc0 = vmlaldavaq(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = (numColsA & 7);
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vmlaldavaq_p(acc0, vecA, vecB, p0);
+ }
+
+ *px = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+
+ px += numColsB;
+
+ i += numColsA;
+ /*
+ * Decrement the row loop counter
+ */
+ row--;
+ }
+ }
+
+ if (numRowsA & 1u) {
+ col = numColsB;
+ i = 0u;
+ /*
+ * point to last row in output matrix
+ */
+ px = pDst->pData + (numColsB) * (numRowsA - 1);
+ /*
+ * col loop
+ */
+ while (col > 0) {
+ q15_t const *pSrcAVec, *pSrcBVec;
+ q15x8_t vecA, vecB;
+ q63_t acc0;
+
+ /*
+ * point to last row in matrix A
+ */
+ pInA = pSrcA->pData + (numRowsA - 1) * numColsA;
+ pInB = pSrcBT + i;
+
+ /*
+ * Set the variable sum, that acts as accumulator, to zero
+ */
+ pSrcAVec = (q15_t const *) pInA;
+ pSrcBVec = (q15_t const *) pInB;
+ acc0 = 0LL;
+
+ blkCnt = ((numColsA) / 8);
+ while (blkCnt > 0U) {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 8;
+ acc0 = vmlaldavaq(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = (numColsA & 7);
+ if (blkCnt > 0U) {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vmlaldavaq_p(acc0, vecA, vecB, p0);
+ }
+
+ *px++ = (q15_t) MVE_ASRL_SAT16(acc0, 15);
+
+ i += numColsA;
+
+ /*
+ * Decrement the col loop counter
+ */
+ col--;
+ }
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState)
+{
+ q63_t sum; /* Accumulator */
+
+#if defined (ARM_MATH_DSP) /* != CM0 */
+
+ q15_t *pSrcBT = pState; /* Input data matrix pointer for transpose */
+ q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint16_t numRowsB = pSrcB->numRows; /* Number of rows of input matrix B */
+ uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+ q31_t inA1, inB1, inA2, inB2;
+ arm_matrix_instance_q15 BT;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ BT.numRows = numColsB;
+ BT.numCols = numRowsB;
+ BT.pData = pSrcBT;
+
+ arm_mat_trans_q15(pSrcB,&BT);
+ /* Reset variables for usage in following multiplication process */
+ row = numRowsA;
+ i = 0U;
+ px = pDst->pData;
+
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+ pInB = pSrcBT;
+
+ /* column loop */
+ do
+ {
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate pointer pInA to point to starting address of column being processed */
+ pInA = pSrcA->pData + i;
+
+ /* Apply loop unrolling and compute 2 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = read_q15x2_ia (&pInA);
+ inB1 = read_q15x2_ia (&pInB);
+
+ inA2 = read_q15x2_ia (&pInA);
+ inB2 = read_q15x2_ia (&pInB);
+
+ /* Multiply and Accumulates */
+ sum = __SMLALD(inA1, inB1, sum);
+ sum = __SMLALD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* process remaining column samples */
+ colCnt = numColsA % 0x4U;
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ sum += *pInA++ * *pInB++;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Saturate and store result in destination buffer */
+ *px = (q15_t) (__SSAT((sum >> 15), 16));
+ px++;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ i = i + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ q15_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ q15_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
+ q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
+ q15_t *pOut = pDst->pData; /* Output data matrix pointer */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+ (void)pState;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate pointer pIn1 to point to starting address of pSrcA */
+ pIn1 = pInA;
+
+ /* Matrix A columns number of MAC operations are to be performed */
+ colCnt = numColsA;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform multiply-accumulates */
+ sum += (q31_t) * pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Convert result from 34.30 to 1.15 format and store saturated value in destination buffer */
+
+ /* Saturate and store result in destination buffer */
+ *px++ = (q15_t) __SSAT((sum >> 15), 16);
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pSrcA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c
new file mode 100644
index 00000000..18738279
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c
@@ -0,0 +1,761 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_q31.c
+ * Description: Q31 matrix multiplication
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 matrix multiplication.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit. There is no saturation
+ on intermediate additions. Thus, if the accumulator overflows it wraps around and
+ distorts the result. The input signals should be scaled down to avoid intermediate
+ overflows. The input is thus scaled down by log2(numColsA) bits
+ to avoid overflows, as a total of numColsA additions are performed internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+ @remark
+ Refer to \ref arm_mat_mult_fast_q31() for a faster but less precise implementation of this function.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MATRIX_DIM2 2
+#define MATRIX_DIM3 3
+#define MATRIX_DIM4 4
+
+__STATIC_INLINE arm_status arm_mat_mult_q31_2x2_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM2;
+ q63_t acc0, acc1;
+ q31x4_t vecB, vecA0, vecA1;
+ /* enable predication to disable half of vector elements */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM2);
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM2;
+
+ pInB = pSrcB->pData;
+
+ /* load 1st B column (partial load) */
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ /* load A rows */
+ vecA0 = vldrwq_s32(pInA0);
+ vecA1 = vldrwq_s32(pInA1);
+
+ acc0 = vrmlaldavhq(vecA0, vecB);
+ acc1 = vrmlaldavhq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ pOut[0 * MATRIX_DIM2] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM2] = (q31_t) acc1;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ acc0 = vrmlaldavhq(vecA0, vecB);
+ acc1 = vrmlaldavhq(vecA1, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+
+ pOut[0 * MATRIX_DIM2] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM2] = (q31_t) acc1;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_mult_q31_3x3_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM3;
+ q31_t *pInA2 = pInA1 + MATRIX_DIM3;
+ q63_t acc0, acc1, acc2;
+ q31x4_t vecB, vecA;
+ /* enable predication to disable last (4th) vector element */
+ mve_pred16_t p0 = vctp32q(MATRIX_DIM3);
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM3;
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+
+ pOut[0 * MATRIX_DIM3] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM3] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM3] = (q31_t) acc2;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_mult_q31_4x4_mve(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32x4_t vecColBOffs;
+ q31_t *pInA0 = pInA;
+ q31_t *pInA1 = pInA0 + MATRIX_DIM4;
+ q31_t *pInA2 = pInA1 + MATRIX_DIM4;
+ q31_t *pInA3 = pInA2 + MATRIX_DIM4;
+ q63_t acc0, acc1, acc2, acc3;
+ q31x4_t vecB, vecA;
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 4);
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs);
+
+ vecA = vldrwq_s32(pInA0);
+ acc0 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA1);
+ acc1 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA2);
+ acc2 = vrmlaldavhq(vecA, vecB);
+ vecA = vldrwq_s32(pInA3);
+ acc3 = vrmlaldavhq(vecA, vecB);
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ pOut[0 * MATRIX_DIM4] = (q31_t) acc0;
+ pOut[1 * MATRIX_DIM4] = (q31_t) acc1;
+ pOut[2 * MATRIX_DIM4] = (q31_t) acc2;
+ pOut[3 * MATRIX_DIM4] = (q31_t) acc3;
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+arm_status arm_mat_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t const *pInB = (q31_t const *)pSrcB->pData; /* input data matrix pointer B */
+ q31_t const *pInA = (q31_t const *)pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ uint32x4_t vecOffs, vecColBOffs;
+ uint32_t blkCnt, rowCnt; /* loop counters */
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+ if (numRowsA == 1)
+ {
+ q63_t sum = (q63_t) *pInA * *pInB;
+ pOut[0] = (q31_t)(sum >> 31);
+ return (ARM_MATH_SUCCESS);
+ }
+ else if(numRowsA == 2)
+ return arm_mat_mult_q31_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_q31_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_mult_q31_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+
+ vecColBOffs = vidupq_u32((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * (uint32_t) (numColsB);
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ rowCnt = row >> 2;
+ while (rowCnt > 0U)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i;
+ i = i + 4 * numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *)pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0U)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ q31_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec;
+ q31_t const *pInA0 = pInA;
+ q31_t const *pInA1 = pInA0 + numColsA;
+ q31_t const *pInA2 = pInA1 + numColsA;
+ q31_t const *pInA3 = pInA2 + numColsA;
+ q63_t acc0, acc1, acc2, acc3;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+ acc3 = 0LL;
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+ pSrcA1Vec = (q31_t const *) pInA1;
+ pSrcA2Vec = (q31_t const *) pInA2;
+ pSrcA3Vec = (q31_t const *) pInA3;
+
+ vecOffs = vecColBOffs;
+
+ /* process 1 x 4 block output */
+ blkCnt = numColsA >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /* move Matrix B read offsets, 4 rows down */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4;
+ acc1 = vrmlaldavhaq(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4;
+ acc2 = vrmlaldavhaq(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4;
+ acc3 = vrmlaldavhaq(acc3, vecA, vecB);
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numColsA & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+ //vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+ vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4;
+ acc1 = vrmlaldavhaq(acc1, vecA, vecB);
+ vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4;
+ acc2 = vrmlaldavhaq(acc2, vecA, vecB);
+ vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4;
+ acc3 = vrmlaldavhaq(acc3, vecA, vecB);
+ }
+
+ acc0 = asrl(acc0, 23);
+ acc1 = asrl(acc1, 23);
+ acc2 = asrl(acc2, 23);
+ acc3 = asrl(acc3, 23);
+
+ px[0] = (q31_t) acc0;
+ px[1 * numColsB] = (q31_t) acc1;
+ px[2 * numColsB] = (q31_t) acc2;
+ px[3 * numColsB] = (q31_t) acc3;
+ px++;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *)pSrcB->pData + (numColsB - col);
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += (numColsA * 4);
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt --;
+
+ }
+ rowCnt = row & 3;
+ while (rowCnt > 0U)
+ {
+ /*
+ * Output pointer is set to starting address of the row being processed
+ */
+ px = pOut + i;
+ i = i + numColsB;
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB;
+ /*
+ * For every row wise process, the pInB pointer is set
+ * to the starting address of the pSrcB data
+ */
+ pInB = (q31_t const *)pSrcB->pData;
+ /*
+ * column loop
+ */
+ while (col > 0U)
+ {
+ /*
+ * generate 4 columns elements
+ */
+ /*
+ * Matrix A columns number of MAC operations are to be performed
+ */
+
+ q31_t const *pSrcA0Vec;
+ q31_t const *pInA0 = pInA;
+ q63_t acc0;
+
+ acc0 = 0LL;
+
+
+ pSrcA0Vec = (q31_t const *) pInA0;
+
+ vecOffs = vecColBOffs;
+
+ /* process 1 x 4 block output */
+ blkCnt = numColsA >> 2;
+ while (blkCnt > 0U)
+ {
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset(pInB, vecOffs);
+ /* move Matrix B read offsets, 4 rows down */
+ vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numColsA & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ q31x4_t vecB, vecA;
+
+ vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0);
+ //vecOffs = vecOffs + (uint32_t) (numColsB * 4);
+
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vrmlaldavhaq(acc0, vecA, vecB);
+
+ }
+
+ acc0 = asrl(acc0, 23);
+
+
+ px[0] = (q31_t) acc0;
+ px++;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+ /*
+ * Update the pointer pInB to point to the starting address of the next column
+ */
+ pInB = (q31_t const *)pSrcB->pData + (numColsB - col);
+ }
+
+ /*
+ * Update the pointer pInA to point to the starting address of the next row
+ */
+ pInA += numColsA;
+ /*
+ * Decrement the row loop counter
+ */
+ rowCnt--;
+ }
+
+ /*
+ * set status as ARM_MATH_SUCCESS
+ */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
+ q31_t *pOut = pDst->pData; /* Output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ q63_t sum; /* Accumulator */
+ uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
+ uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
+ uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do
+ {
+ /* Output pointer is set to starting address of row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do
+ {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initialize pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 MACs at a time. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining MACs */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize cntCnt with number of columns */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* Perform the multiply-accumulates */
+ sum += (q63_t) *pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Convert result from 2.62 to 1.31 format and store in destination buffer */
+ *px++ = (q31_t) (sum >> 31);
+
+ /* Decrement column loop counter */
+ col--;
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q7.c
new file mode 100644
index 00000000..3ce0fe60
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q7.c
@@ -0,0 +1,678 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_q7.c
+ * Description: Q15 matrix multiplication
+ *
+ * $Date: 23 April 2021
+ *
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixMult
+ @{
+ */
+
+/**
+ * @brief Q7 matrix multiplication
+ * @param[in] *pSrcA points to the first input matrix structure
+ * @param[in] *pSrcB points to the second input matrix structure
+ * @param[out] *pDst points to output matrix structure
+ * @param[in] *pState points to the array for storing intermediate results (Unused in some versions)
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ *
+ * @details
+ * Scaling and Overflow Behavior:
+ *
+ * \par
+ * The function is implemented using a 32-bit internal accumulator saturated to 1.7 format.
+ *
+ *
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+__STATIC_FORCEINLINE arm_status arm_mat_mult_q7_2x2_mve(
+ const arm_matrix_instance_q7 * pSrcA,
+ const arm_matrix_instance_q7 * pSrcB,
+ arm_matrix_instance_q7 * pDst)
+{
+ const uint32_t MATRIX_DIM = 2;
+ q7_t const *pInB = (q7_t const *)pSrcB->pData; /* input data matrix pointer B */
+ q7_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q7_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint8x16_t vecColBOffs;
+ q7_t *pInA0 = pInA;
+ q7_t *pInA1 = pInA0 + MATRIX_DIM;
+ q31_t acc0, acc1;
+ q7x16_t vecB, vecA0, vecA1;
+ mve_pred16_t p0 = vctp8q(MATRIX_DIM);
+
+ vecColBOffs = vidupq_u8((uint32_t)0, 2); /* MATRIX_DIM */
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ vecA0 = vldrbq_s8(pInA0);
+ vecA1 = vldrbq_s8(pInA1);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_FORCEINLINE arm_status arm_mat_mult_q7_3x3_mve(
+ const arm_matrix_instance_q7 * pSrcA,
+ const arm_matrix_instance_q7 * pSrcB,
+ arm_matrix_instance_q7 * pDst)
+{
+ const uint8_t MATRIX_DIM = 3;
+ q7_t const *pInB = (q7_t const *)pSrcB->pData; /* input data matrix pointer B */
+ q7_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q7_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint8x16_t vecColBOffs;
+ q7_t *pInA0 = pInA;
+ q7_t *pInA1 = pInA0 + MATRIX_DIM;
+ q7_t *pInA2 = pInA1 + MATRIX_DIM;
+ q31_t acc0, acc1, acc2;
+ q7x16_t vecB, vecA0, vecA1, vecA2;
+ mve_pred16_t p0 = vctp8q(MATRIX_DIM);
+
+ vecColBOffs = vidupq_u8((uint32_t)0, 1);
+ vecColBOffs = vecColBOffs * MATRIX_DIM;
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ vecA0 = vldrbq_s8(pInA0);
+ vecA1 = vldrbq_s8(pInA1);
+ vecA2 = vldrbq_s8(pInA2);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+ acc2 = vmladavq_s8(vecA2, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut[2 * MATRIX_DIM] = (q7_t) __SSAT(acc2 >> 7, 8);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+ acc2 = vmladavq_s8(vecA2, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut[2 * MATRIX_DIM] = (q7_t) __SSAT(acc2 >> 7, 8);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+ acc2 = vmladavq_s8(vecA2, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut[2 * MATRIX_DIM] = (q7_t) __SSAT(acc2 >> 7, 8);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_FORCEINLINE arm_status arm_mat_mult_q7_4x4_mve(
+ const arm_matrix_instance_q7 * pSrcA,
+ const arm_matrix_instance_q7 * pSrcB,
+ arm_matrix_instance_q7 * pDst)
+{
+ const uint32_t MATRIX_DIM = 4;
+ q7_t const *pInB = (q7_t const *)pSrcB->pData; /* input data matrix pointer B */
+ q7_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q7_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint8x16_t vecColBOffs;
+ q7_t *pInA0 = pInA;
+ q7_t *pInA1 = pInA0 + MATRIX_DIM;
+ q7_t *pInA2 = pInA1 + MATRIX_DIM;
+ q7_t *pInA3 = pInA2 + MATRIX_DIM;
+ q31_t acc0, acc1, acc2, acc3;
+ q7x16_t vecB, vecA0, vecA1, vecA2, vecA3;
+ mve_pred16_t p0 = vctp8q(MATRIX_DIM);
+
+ vecColBOffs = vidupq_u8((uint32_t)0, 4);
+
+ pInB = pSrcB->pData;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ vecA0 = vldrbq_s8(pInA0);
+ vecA1 = vldrbq_s8(pInA1);
+ vecA2 = vldrbq_s8(pInA2);
+ vecA3 = vldrbq_s8(pInA3);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+ acc2 = vmladavq_s8(vecA2, vecB);
+ acc3 = vmladavq_s8(vecA3, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut[2 * MATRIX_DIM] = (q7_t) __SSAT(acc2 >> 7, 8);
+ pOut[3 * MATRIX_DIM] = (q7_t) __SSAT(acc3 >> 7, 8);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+ acc2 = vmladavq_s8(vecA2, vecB);
+ acc3 = vmladavq_s8(vecA3, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut[2 * MATRIX_DIM] = (q7_t) __SSAT(acc2 >> 7, 8);
+ pOut[3 * MATRIX_DIM] = (q7_t) __SSAT(acc3 >> 7, 8);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+ acc2 = vmladavq_s8(vecA2, vecB);
+ acc3 = vmladavq_s8(vecA3, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut[2 * MATRIX_DIM] = (q7_t) __SSAT(acc2 >> 7, 8);
+ pOut[3 * MATRIX_DIM] = (q7_t) __SSAT(acc3 >> 7, 8);
+ pOut++;
+
+ /* move to next B column */
+ pInB = pInB + 1;
+
+ vecB = vldrbq_gather_offset_z(pInB, vecColBOffs, p0);
+
+ acc0 = vmladavq_s8(vecA0, vecB);
+ acc1 = vmladavq_s8(vecA1, vecB);
+ acc2 = vmladavq_s8(vecA2, vecB);
+ acc3 = vmladavq_s8(vecA3, vecB);
+
+ pOut[0 * MATRIX_DIM] = (q7_t) __SSAT(acc0 >> 7, 8);
+ pOut[1 * MATRIX_DIM] = (q7_t) __SSAT(acc1 >> 7, 8);
+ pOut[2 * MATRIX_DIM] = (q7_t) __SSAT(acc2 >> 7, 8);
+ pOut[3 * MATRIX_DIM] = (q7_t) __SSAT(acc3 >> 7, 8);
+ /*
+ * Return to application
+ */
+ return (ARM_MATH_SUCCESS);
+}
+
+arm_status arm_mat_mult_q7(
+ const arm_matrix_instance_q7 * pSrcA,
+ const arm_matrix_instance_q7 * pSrcB,
+ arm_matrix_instance_q7 * pDst,
+ q7_t * pState)
+{
+ q7_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q7 type */
+ q7_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q7 type */
+ q7_t *pInA2;
+ q7_t *pInB2;
+ q7_t *px; /* Temporary output data matrix pointer */
+ q7_t *px2; /* Temporary output data matrix pointer */
+ uint32_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint32_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint32_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint32_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */
+ uint32_t col, i = 0u, j, row = numRowsB; /* loop counters */
+ q7_t *pSrcBT = pState; /* input data matrix pointer for transpose */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+ arm_matrix_instance_q7 BT;
+
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /* small squared matrix specialized routines */
+ if(numRowsA == numColsB && numColsB == numColsA) {
+ if(numRowsA == 2)
+ return arm_mat_mult_q7_2x2_mve(pSrcA, pSrcB, pDst);
+ else if(numRowsA == 3)
+ return arm_mat_mult_q7_3x3_mve(pSrcA, pSrcB, pDst);
+ else if (numRowsA == 4)
+ return arm_mat_mult_q7_4x4_mve(pSrcA, pSrcB, pDst);
+ }
+ /*
+ * Matrix transpose
+ */
+
+ BT.numRows = numColsB;
+ BT.numCols = numRowsB;
+ BT.pData = pSrcBT;
+
+ arm_mat_trans_q7(pSrcB, &BT);
+
+ /*
+ * Reset the variables for the usage in the following multiplication process
+ */
+ i = 0;
+ row = numRowsA >> 1;
+ px = pDst->pData;
+ px2 = px + numColsB;
+
+ /*
+ * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB
+ */
+
+ /*
+ * row loop
+ */
+ while (row > 0u)
+ {
+ /*
+ * For every row wise process, the column loop counter is to be initiated
+ */
+ col = numColsB >> 1;
+ /*
+ * For every row wise process, the pIn2 pointer is set
+ * to the starting address of the transposed pSrcB data
+ */
+ pInB = pSrcBT;
+ pInB2 = pInB + numRowsB;
+ j = 0;
+
+ /*
+ * column loop
+ */
+ while (col > 0u)
+ {
+ q7_t const *pSrcAVec, *pSrcBVec, *pSrcA2Vec, *pSrcB2Vec;
+ q7x16_t vecA, vecA2, vecB, vecB2;
+ q31_t acc0, acc1, acc2, acc3;
+
+ /*
+ * Initiate the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pInA = pSrcA->pData + i;
+ pInA2 = pInA + numColsA;
+ pInB = pSrcBT + j;
+ pInB2 = pInB + numRowsB;
+
+ pSrcAVec = (q7_t const *) pInA;
+ pSrcA2Vec = (q7_t const *)pInA2;
+ pSrcBVec = (q7_t const *) pInB;
+ pSrcB2Vec = (q7_t const *)pInB2;
+
+ acc0 = 0L;
+ acc1 = 0L;
+ acc2 = 0L;
+ acc3 = 0L;
+
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 16;
+
+ blkCnt = numColsA >> 4;
+ while (blkCnt > 0U)
+ {
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 16;
+ acc0 = vmladavaq_s8(acc0, vecA, vecB);
+ vecA2 = vld1q(pSrcA2Vec);
+ pSrcA2Vec += 16;
+ acc1 = vmladavaq_s8(acc1, vecA2, vecB);
+ vecB2 = vld1q(pSrcB2Vec);
+ pSrcB2Vec += 16;
+ acc2 = vmladavaq_s8(acc2, vecA, vecB2);
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 16;
+ acc3 = vmladavaq_s8(acc3, vecA2, vecB2);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numColsA & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vmladavaq_p_s8(acc0, vecA, vecB, p0);
+ vecA2 = vld1q(pSrcA2Vec);
+ acc1 = vmladavaq_p_s8(acc1, vecA2, vecB, p0);
+ vecB2 = vld1q(pSrcB2Vec);
+ acc2 = vmladavaq_p_s8(acc2, vecA, vecB2, p0);
+ vecA = vld1q(pSrcAVec);
+ acc3 = vmladavaq_p_s8(acc3, vecA2, vecB2, p0);
+ }
+
+ *px++ = (q7_t) __SSAT(acc0 >> 7, 8);
+ *px++ = (q7_t) __SSAT(acc2 >> 7, 8);
+ *px2++ = (q7_t) __SSAT(acc1 >> 7, 8);
+ *px2++ = (q7_t) __SSAT(acc3 >> 7, 8);
+ j += numRowsB * 2;
+ /*
+ * Decrement the column loop counter
+ */
+ col--;
+
+ }
+
+ i = i + numColsA * 2;
+ px = px2 + (numColsB & 1u);
+ px2 = px + numColsB;
+ /*
+ * Decrement the row loop counter
+ */
+ row--;
+ }
+
+ /*
+ * Compute remaining row and/or column below
+ */
+
+ if (numColsB & 1u)
+ {
+ row = numRowsA & (~0x1); //avoid redundant computation
+ px = pDst->pData + numColsB - 1;
+ i = 0;
+
+ /*
+ * row loop
+ */
+ while (row > 0)
+ {
+ q7_t const *pSrcAVec, *pSrcBVec;
+ q7x16_t vecA, vecB;
+ q63_t acc0;
+
+ /*
+ * point to last column in matrix B
+ */
+ pInB = pSrcBT + numRowsB * (numColsB - 1);
+ pInA = pSrcA->pData + i;
+
+ pSrcAVec = (q7_t const *) pInA;
+ pSrcBVec = (q7_t const *) pInB;
+
+ acc0 = 0LL;
+ blkCnt = (numColsA) >> 4;
+ while (blkCnt > 0U)
+ {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 16;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 16;
+ acc0 = vmladavaq_s8(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numColsA & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vmladavaq_p_s8(acc0, vecA, vecB, p0);
+ }
+
+ *px = (q7_t) __SSAT(acc0 >> 7, 8);
+
+ px += numColsB;
+
+ i += numColsA;
+ /*
+ * Decrement the row loop counter
+ */
+ row--;
+ }
+ }
+
+ if (numRowsA & 1u)
+ {
+ col = numColsB;
+ i = 0u;
+ /*
+ * point to last row in output matrix
+ */
+ px = pDst->pData + (numColsB) * (numRowsA - 1);
+ /*
+ * col loop
+ */
+ while (col > 0)
+ {
+ q7_t const *pSrcAVec, *pSrcBVec;
+ q7x16_t vecA, vecB;
+ q63_t acc0;
+
+ /*
+ * point to last row in matrix A
+ */
+ pInA = pSrcA->pData + (numRowsA - 1) * numColsA;
+ pInB = pSrcBT + i;
+
+ /*
+ * Set the variable sum, that acts as accumulator, to zero
+ */
+ pSrcAVec = (q7_t const *) pInA;
+ pSrcBVec = (q7_t const *) pInB;
+ acc0 = 0LL;
+
+ blkCnt = (numColsA) >> 4;
+ while (blkCnt > 0U)
+ {
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 16;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 16;
+ acc0 = vmladavaq_s8(acc0, vecA, vecB);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numColsA & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ acc0 = vmladavaq_p_s8(acc0, vecA, vecB, p0);
+ }
+
+ *px++ = (q7_t) __SSAT(acc0 >> 7, 8);
+
+ i += numColsA;
+
+ /*
+ * Decrement the col loop counter
+ */
+ col--;
+ }
+ }
+ /*
+ * Return to application
+ */
+ status = ARM_MATH_SUCCESS;
+ }
+ return(status);
+}
+#else
+arm_status arm_mat_mult_q7(const arm_matrix_instance_q7 *pSrcA, const arm_matrix_instance_q7 *pSrcB, arm_matrix_instance_q7 *pDst, q7_t *pState)
+{
+ q31_t sum; /* accumulator */
+ q7_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ q7_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ q7_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q7 type */
+ q7_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q7 type */
+ q7_t *pOut = pDst->pData; /* output data matrix pointer */
+ q7_t *px; /* Temporary output data matrix pointer */
+ uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
+ uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
+ uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+ (void)pState;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numCols != pSrcB->numRows) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcB->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+ /* row loop */
+ do {
+ /* Output pointer is set to starting address of the row being processed */
+ px = pOut + i;
+
+ /* For every row wise process, the column loop counter is to be initiated */
+ col = numColsB;
+
+ /* For every row wise process, the pIn2 pointer is set
+ ** to the starting address of the pSrcB data */
+ pIn2 = pSrcB->pData;
+
+ /* column loop */
+ do {
+ /* Set the variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate the pointer pIn1 to point to the starting address of pSrcA */
+ pIn1 = pInA;
+
+ /* Matrix A columns number of MAC operations are to be performed */
+ colCnt = numColsA;
+
+ /* matrix multiplication */
+ while (colCnt > 0U) {
+ /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+ /* Perform the multiply-accumulates */
+ sum += (q31_t)*pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* Convert the result from 34.30 to 1.15 format and store the saturated value in destination buffer */
+ /* Saturate and store the result in the destination buffer */
+ *px++ = (q7_t)__SSAT((sum >> 7), 8);
+
+ /* Decrement the column loop counter */
+ col--;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while (col > 0U);
+
+ /* Update the pointer pSrcA to point to the starting address of the next row */
+ i = i + numColsB;
+ pInA = pInA + numColsA;
+
+ /* Decrement the row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f16.c
new file mode 100644
index 00000000..fc2193d6
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f16.c
@@ -0,0 +1,208 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_scale_f16.c
+ * Description: Multiplies a floating-point matrix by a scalar
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixScale
+ @{
+ */
+
+/**
+ @brief Floating-point matrix scaling.
+ @param[in] pSrc points to input matrix
+ @param[in] scale scale factor to be applied
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_scale_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ float16_t scale,
+ arm_matrix_instance_f16 * pDst)
+{
+ arm_status status; /* status of matrix scaling */
+ #ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ float16_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ f16x8_t vecIn, vecOut, vecScale;
+ float16_t const *pInVec;
+
+ pInVec = (float16_t const *) pIn;
+
+ vecScale = vdupq_n_f16(scale);
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C(m,n) = A(m,n) * scale
+ * Scaling and results are stored in the destination buffer.
+ */
+ vecIn = vld1q(pInVec);
+ pInVec += 8;
+
+ vecOut = vmulq_f16(vecIn, vecScale);
+
+ vst1q(pOut, vecOut);
+ pOut += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecIn = vld1q(pInVec);
+ vecOut = vecIn * scale;
+
+ vstrhq_p(pOut, vecOut, p0);
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+}
+#else
+
+arm_status arm_mat_scale_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ float16_t scale,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pIn = pSrc->pData; /* Input data matrix pointer */
+ float16_t *pOut = pDst->pData; /* Output data matrix pointer */
+ uint32_t numSamples; /* Total number of elements in the matrix */
+ uint32_t blkCnt; /* Loop counters */
+ arm_status status; /* Status of matrix scaling */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * scale */
+
+ /* Scale and store result in destination buffer. */
+ *pOut++ = (_Float16)(*pIn++) * (_Float16)scale;
+ *pOut++ = (_Float16)(*pIn++) * (_Float16)scale;
+ *pOut++ = (_Float16)(*pIn++) * (_Float16)scale;
+ *pOut++ = (_Float16)(*pIn++) * (_Float16)scale;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * scale */
+
+ /* Scale and store result in destination buffer. */
+ *pOut++ = (_Float16)(*pIn++) * (_Float16)scale;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixScale group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c
new file mode 100644
index 00000000..daebbb34
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c
@@ -0,0 +1,287 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_scale_f32.c
+ * Description: Multiplies a floating-point matrix by a scalar
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixScale Matrix Scale
+
+ Multiplies a matrix by a scalar. This is accomplished by multiplying each element in the
+ matrix by the scalar. For example:
+ \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix"
+
+ The function checks to make sure that the input and output matrices are of the same size.
+
+ In the fixed-point Q15 and Q31 functions, scale is represented by
+ a fractional multiplication scaleFract and an arithmetic shift shift.
+ The shift allows the gain of the scaling operation to exceed 1.0.
+ The overall scale factor applied to the fixed-point data is
+ + scale = scaleFract * 2^shift. ++ */ + +/** + @addtogroup MatrixScale + @{ + */ + +/** + @brief Floating-point matrix scaling. + @param[in] pSrc points to input matrix + @param[in] scale scale factor to be applied + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + arm_status status; /* status of matrix scaling */ + #ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecIn, vecOut; + float32_t const *pInVec; + + pInVec = (float32_t const *) pIn; + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* + * C(m,n) = A(m,n) * scale + * Scaling and results are stored in the destination buffer. + */ + vecIn = vld1q(pInVec); + pInVec += 4; + + vecOut = vecIn * scale; + + vst1q(pOut, vecOut); + pOut += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecIn = vld1q(pInVec); + vecOut = vecIn * scale; + + vstrwq_p(pOut, vecOut, p0); + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix scaling */ + + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + float32x4_t vec1; + float32x4_t res; + + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + + blkCnt = numSamples >> 2; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* Scaling and results are stored in the destination buffer. */ + vec1 = vld1q_f32(pIn); + res = vmulq_f32(vec1, vdupq_n_f32(scale)); + vst1q_f32(pOut, res); + + /* update pointers to process next sampels */ + pIn += 4U; + pOut += 4U; + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* The results are stored in the destination buffer. */ + *pOut++ = (*pIn++) * scale; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* Input data matrix pointer */ + float32_t *pOut = pDst->pData; /* Output data matrix pointer */ + uint32_t numSamples; /* Total number of elements in the matrix */ + uint32_t blkCnt; /* Loop counters */ + arm_status status; /* Status of matrix scaling */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || + (pSrc->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + + /* Scale and store result in destination buffer. */ + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + + /* Scale and store result in destination buffer. */ + *pOut++ = (*pIn++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of MatrixScale group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c new file mode 100644 index 00000000..e43de0ac --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c @@ -0,0 +1,249 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_q15.c + * Description: Multiplies a Q15 matrix by a scalar + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/matrix_functions.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixScale + @{ + */ + +/** + @brief Q15 matrix scaling. + @param[in] pSrc points to input matrix + @param[in] scaleFract fractional portion of the scale factor + @param[in] shift number of bits to shift the result by + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The input data
*pSrc and scaleFract are in 1.15 format.
+ These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_scale_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ q15_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q15 * pDst)
+{
+ arm_status status; /* Status of matrix scaling */
+ q15_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ q15x8_t vecIn, vecOut;
+ q15_t const *pInVec;
+ int32_t totShift = shift + 1; /* shift to apply after scaling */
+
+ pInVec = (q15_t const *) pIn;
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C(m,n) = A(m,n) * scale
+ * Scaling and results are stored in the destination buffer.
+ */
+ vecIn = vld1q(pInVec); pInVec += 8;
+
+ /* multiply input with scaler value */
+ vecOut = vmulhq(vecIn, vdupq_n_s16(scaleFract));
+ /* apply shifting */
+ vecOut = vqshlq_r(vecOut, totShift);
+
+ vst1q(pOut, vecOut); pOut += 8;
+
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecIn = vld1q(pInVec); pInVec += 8;
+ vecOut = vmulhq(vecIn, vdupq_n_s16(scaleFract));
+ vecOut = vqshlq_r(vecOut, totShift);
+ vstrhq_p(pOut, vecOut, p0);
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_scale_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ q15_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pIn = pSrc->pData; /* Input data matrix pointer */
+ q15_t *pOut = pDst->pData; /* Output data matrix pointer */
+ uint32_t numSamples; /* Total number of elements in the matrix */
+ uint32_t blkCnt; /* Loop counter */
+ arm_status status; /* Status of matrix scaling */
+ int32_t kShift = 15 - shift; /* Total shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+ q31_t inA1, inA2;
+ q31_t out1, out2, out3, out4; /* Temporary output variables */
+ q15_t in1, in2, in3, in4; /* Temporary input variables */
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+#if defined (ARM_MATH_DSP)
+ /* read 2 times 2 samples at a time from source */
+ inA1 = read_q15x2_ia (&pIn);
+ inA2 = read_q15x2_ia (&pIn);
+
+ /* Scale inputs and store result in temporary variables
+ * in single cycle by packing the outputs */
+ out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+ out2 = (q31_t) ((q15_t) (inA1 ) * scaleFract);
+ out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+ out4 = (q31_t) ((q15_t) (inA2 ) * scaleFract);
+
+ /* apply shifting */
+ out1 = out1 >> kShift;
+ out2 = out2 >> kShift;
+ out3 = out3 >> kShift;
+ out4 = out4 >> kShift;
+
+ /* saturate the output */
+ in1 = (q15_t) (__SSAT(out1, 16));
+ in2 = (q15_t) (__SSAT(out2, 16));
+ in3 = (q15_t) (__SSAT(out3, 16));
+ in4 = (q15_t) (__SSAT(out4, 16));
+
+ /* store result to destination */
+ write_q15x2_ia (&pOut, __PKHBT(in2, in1, 16));
+ write_q15x2_ia (&pOut, __PKHBT(in4, in3, 16));
+
+#else
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+ /* Scale, saturate and store result in destination buffer. */
+ *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixScale group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c
new file mode 100644
index 00000000..33c08680
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c
@@ -0,0 +1,242 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_scale_q31.c
+ * Description: Multiplies a Q31 matrix by a scalar
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixScale
+ @{
+ */
+
+/**
+ @brief Q31 matrix scaling.
+ @param[in] pSrc points to input matrix
+ @param[in] scaleFract fractional portion of the scale factor
+ @param[in] shift number of bits to shift the result by
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The input data *pSrc and scaleFract are in 1.31 format.
+ These are multiplied to yield a 2.62 intermediate result which is shifted with saturation to 1.31 format.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_scale_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ q31_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ q31x4_t vecIn, vecOut;
+ q31_t const *pInVec;
+ int32_t totShift = shift + 1; /* shift to apply after scaling */
+ arm_status status; /* Status of matrix scaling */
+
+ pInVec = (q31_t const *) pIn;
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /*
+ * C(m,n) = A(m,n) * scale
+ * Scaling and results are stored in the destination buffer.
+ */
+ vecIn = vld1q(pInVec);
+ pInVec += 4;
+ /* multiply input with scaler value */
+ vecOut = vmulhq(vecIn, vdupq_n_s32(scaleFract));
+ /* apply shifting */
+ vecOut = vqshlq_r(vecOut, totShift);
+
+ vst1q(pOut, vecOut);
+ pOut += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecIn = vld1q(pInVec);
+ pInVec += 4;
+ vecOut = vmulhq(vecIn, vdupq_n_s32(scaleFract));
+ vecOut = vqshlq_r(vecOut, totShift);
+ vstrwq_p(pOut, vecOut, p0);
+ }
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_scale_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ q31_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn = pSrc->pData; /* Input data matrix pointer */
+ q31_t *pOut = pDst->pData; /* Output data matrix pointer */
+ uint32_t numSamples; /* Total number of elements in the matrix */
+ uint32_t blkCnt; /* Loop counter */
+ arm_status status; /* Status of matrix scaling */
+ int32_t kShift = shift + 1; /* Shift to apply after scaling */
+ q31_t in, out; /* Temporary variabels */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numRows) ||
+ (pSrc->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+ /* Scale, saturate and store result in destination buffer. */
+ in = *pIn++; /* read four inputs from source */
+ in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */
+ out = in << kShift; /* apply shifting */
+ if (in != (out >> kShift)) /* saturate the results. */
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out; /* Store result destination */
+
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) * k */
+
+ /* Scale, saturate and store result in destination buffer. */
+ in = *pIn++;
+ in = ((q63_t) in * scaleFract) >> 32;
+ out = in << kShift;
+ if (in != (out >> kShift))
+ out = 0x7FFFFFFF ^ (in >> 31);
+ *pOut++ = out;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixScale group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f16.c
new file mode 100644
index 00000000..8dafc143
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f16.c
@@ -0,0 +1,234 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_solve_lower_triangular_f16.c
+ * Description: Solve linear system LT X = A with LT lower triangular matrix
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+
+ /**
+ * @brief Solve LT . X = A where LT is a lower triangular matrix
+ * @param[in] lt The lower triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of LT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+ arm_status arm_mat_solve_lower_triangular_f16(
+ const arm_matrix_instance_f16 * lt,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * dst)
+ {
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((lt->numRows != lt->numCols) ||
+ (lt->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* a1 b1 c1 x1 = a1
+ b2 c2 x2 a2
+ c3 x3 a3
+
+ x3 = a3 / c3
+ x2 = (a2 - c2 x3) / b2
+
+ */
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float16_t *pX = dst->pData;
+ float16_t *pLT = lt->pData;
+ float16_t *pA = a->pData;
+
+ float16_t *lt_row;
+ float16_t *a_col;
+
+ _Float16 invLT;
+
+ f16x8_t vecA;
+ f16x8_t vecX;
+
+ for(i=0; i < n ; i++)
+ {
+
+ for(j=0; j+7 < cols; j += 8)
+ {
+ vecA = vld1q_f16(&pA[i * cols + j]);
+
+ for(k=0; k < i; k++)
+ {
+ vecX = vld1q_f16(&pX[cols*k+j]);
+ vecA = vfmsq(vecA,vdupq_n_f16(pLT[n*i + k]),vecX);
+ }
+
+ if ((_Float16)pLT[n*i + i]==0.0f16)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+
+ invLT = 1.0f16 / (_Float16)pLT[n*i + i];
+ vecA = vmulq(vecA,vdupq_n_f16(invLT));
+ vst1q(&pX[i*cols+j],vecA);
+
+ }
+
+ for(; j < cols; j ++)
+ {
+ a_col = &pA[j];
+ lt_row = &pLT[n*i];
+
+ _Float16 tmp=a_col[i * cols];
+
+ for(k=0; k < i; k++)
+ {
+ tmp -= (_Float16)lt_row[k] * (_Float16)pX[cols*k+j];
+ }
+
+ if ((_Float16)lt_row[i]==0.0f16)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / (_Float16)lt_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+ arm_status arm_mat_solve_lower_triangular_f16(
+ const arm_matrix_instance_f16 * lt,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * dst)
+ {
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((lt->numRows != lt->numCols) ||
+ (lt->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* a1 b1 c1 x1 = a1
+ b2 c2 x2 a2
+ c3 x3 a3
+
+ x3 = a3 / c3
+ x2 = (a2 - c2 x3) / b2
+
+ */
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float16_t *pX = dst->pData;
+ float16_t *pLT = lt->pData;
+ float16_t *pA = a->pData;
+
+ float16_t *lt_row;
+ float16_t *a_col;
+
+ for(j=0; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ for(i=0; i < n ; i++)
+ {
+ lt_row = &pLT[n*i];
+
+ float16_t tmp=a_col[i * cols];
+
+ for(k=0; k < i; k++)
+ {
+ tmp -= (_Float16)lt_row[k] * (_Float16)pX[cols*k+j];
+ }
+
+ if ((_Float16)lt_row[i]==0.0f16)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = (_Float16)tmp / (_Float16)lt_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixInv group
+ */
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f32.c
new file mode 100644
index 00000000..c7cdecc3
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f32.c
@@ -0,0 +1,333 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_solve_lower_triangular_f32.c
+ * Description: Solve linear system LT X = A with LT lower triangular matrix
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+
+ /**
+ * @brief Solve LT . X = A where LT is a lower triangular matrix
+ * @param[in] lt The lower triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of LT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+ arm_status arm_mat_solve_lower_triangular_f32(
+ const arm_matrix_instance_f32 * lt,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst)
+ {
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((lt->numRows != lt->numCols) ||
+ (lt->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* a1 b1 c1 x1 = a1
+ b2 c2 x2 a2
+ c3 x3 a3
+
+ x3 = a3 / c3
+ x2 = (a2 - c2 x3) / b2
+
+ */
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float32_t *pX = dst->pData;
+ float32_t *pLT = lt->pData;
+ float32_t *pA = a->pData;
+
+ float32_t *lt_row;
+ float32_t *a_col;
+
+ float32_t invLT;
+
+ f32x4_t vecA;
+ f32x4_t vecX;
+
+ for(i=0; i < n ; i++)
+ {
+
+ for(j=0; j+3 < cols; j += 4)
+ {
+ vecA = vld1q_f32(&pA[i * cols + j]);
+
+ for(k=0; k < i; k++)
+ {
+ vecX = vld1q_f32(&pX[cols*k+j]);
+ vecA = vfmsq(vecA,vdupq_n_f32(pLT[n*i + k]),vecX);
+ }
+
+ if (pLT[n*i + i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+
+ invLT = 1.0f / pLT[n*i + i];
+ vecA = vmulq(vecA,vdupq_n_f32(invLT));
+ vst1q(&pX[i*cols+j],vecA);
+
+ }
+
+ for(; j < cols; j ++)
+ {
+ a_col = &pA[j];
+ lt_row = &pLT[n*i];
+
+ float32_t tmp=a_col[i * cols];
+
+ for(k=0; k < i; k++)
+ {
+ tmp -= lt_row[k] * pX[cols*k+j];
+ }
+
+ if (lt_row[i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / lt_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ arm_status arm_mat_solve_lower_triangular_f32(
+ const arm_matrix_instance_f32 * lt,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst)
+ {
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((lt->numRows != lt->numCols) ||
+ (lt->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* a1 b1 c1 x1 = a1
+ b2 c2 x2 a2
+ c3 x3 a3
+
+ x3 = a3 / c3
+ x2 = (a2 - c2 x3) / b2
+
+ */
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float32_t *pX = dst->pData;
+ float32_t *pLT = lt->pData;
+ float32_t *pA = a->pData;
+
+ float32_t *lt_row;
+ float32_t *a_col;
+
+ float32_t invLT;
+
+ f32x4_t vecA;
+ f32x4_t vecX;
+
+ for(i=0; i < n ; i++)
+ {
+
+ for(j=0; j+3 < cols; j += 4)
+ {
+ vecA = vld1q_f32(&pA[i * cols + j]);
+
+ for(k=0; k < i; k++)
+ {
+ vecX = vld1q_f32(&pX[cols*k+j]);
+ vecA = vfmsq_f32(vecA,vdupq_n_f32(pLT[n*i + k]),vecX);
+ }
+
+ if (pLT[n*i + i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+
+ invLT = 1.0f / pLT[n*i + i];
+ vecA = vmulq_f32(vecA,vdupq_n_f32(invLT));
+ vst1q_f32(&pX[i*cols+j],vecA);
+
+ }
+
+ for(; j < cols; j ++)
+ {
+ a_col = &pA[j];
+ lt_row = &pLT[n*i];
+
+ float32_t tmp=a_col[i * cols];
+
+ for(k=0; k < i; k++)
+ {
+ tmp -= lt_row[k] * pX[cols*k+j];
+ }
+
+ if (lt_row[i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / lt_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+ arm_status arm_mat_solve_lower_triangular_f32(
+ const arm_matrix_instance_f32 * lt,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst)
+ {
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((lt->numRows != lt->numCols) ||
+ (lt->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* a1 b1 c1 x1 = a1
+ b2 c2 x2 a2
+ c3 x3 a3
+
+ x3 = a3 / c3
+ x2 = (a2 - c2 x3) / b2
+
+ */
+ int i,j,k,n,cols;
+
+ float32_t *pX = dst->pData;
+ float32_t *pLT = lt->pData;
+ float32_t *pA = a->pData;
+
+ float32_t *lt_row;
+ float32_t *a_col;
+
+ n = dst->numRows;
+ cols = dst -> numCols;
+
+
+ for(j=0; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ for(i=0; i < n ; i++)
+ {
+ float32_t tmp=a_col[i * cols];
+
+ lt_row = &pLT[n*i];
+
+ for(k=0; k < i; k++)
+ {
+ tmp -= lt_row[k] * pX[cols*k+j];
+ }
+
+ if (lt_row[i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / lt_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixInv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f64.c
new file mode 100644
index 00000000..d54ff679
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_lower_triangular_f64.c
@@ -0,0 +1,124 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_solve_lower_triangular_f64.c
+ * Description: Solve linear system LT X = A with LT lower triangular matrix
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+
+ /**
+ * @brief Solve LT . X = A where LT is a lower triangular matrix
+ * @param[in] lt The lower triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of LT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_lower_triangular_f64(
+ const arm_matrix_instance_f64 * lt,
+ const arm_matrix_instance_f64 * a,
+ arm_matrix_instance_f64 * dst)
+ {
+ arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((lt->numRows != lt->numCols) ||
+ (lt->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* a1 b1 c1 x1 = a1
+ b2 c2 x2 a2
+ c3 x3 a3
+
+ x3 = a3 / c3
+ x2 = (a2 - c2 x3) / b2
+
+ */
+ int i,j,k,n,cols;
+
+ float64_t *pX = dst->pData;
+ float64_t *pLT = lt->pData;
+ float64_t *pA = a->pData;
+
+ float64_t *lt_row;
+ float64_t *a_col;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ for(j=0; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ for(i=0; i < n ; i++)
+ {
+ float64_t tmp=a_col[i * cols];
+
+ lt_row = &pLT[n*i];
+
+ for(k=0; k < i; k++)
+ {
+ tmp -= lt_row[k] * pX[cols*k+j];
+ }
+
+ if (lt_row[i]==0.0)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / lt_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+ /* Return to application */
+ return (status);
+}
+/**
+ @} end of MatrixInv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f16.c
new file mode 100644
index 00000000..332280f0
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f16.c
@@ -0,0 +1,226 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_solve_upper_triangular_f16.c
+ * Description: Solve linear system UT X = A with UT upper triangular matrix
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ * @brief Solve UT . X = A where UT is an upper triangular matrix
+ * @param[in] ut The upper triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of UT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+ arm_status arm_mat_solve_upper_triangular_f16(
+ const arm_matrix_instance_f16 * ut,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * dst)
+ {
+arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((ut->numRows != ut->numCols) ||
+ (ut->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float16_t *pX = dst->pData;
+ float16_t *pUT = ut->pData;
+ float16_t *pA = a->pData;
+
+ float16_t *ut_row;
+ float16_t *a_col;
+
+ _Float16 invUT;
+
+ f16x8_t vecA;
+ f16x8_t vecX;
+
+ for(i=n-1; i >= 0 ; i--)
+ {
+ for(j=0; j+7 < cols; j +=8)
+ {
+ vecA = vld1q_f16(&pA[i * cols + j]);
+
+ for(k=n-1; k > i; k--)
+ {
+ vecX = vld1q_f16(&pX[cols*k+j]);
+ vecA = vfmsq(vecA,vdupq_n_f16(pUT[n*i + k]),vecX);
+ }
+
+ if ((_Float16)pUT[n*i + i]==0.0f16)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+
+ invUT = 1.0f16 / (_Float16)pUT[n*i + i];
+ vecA = vmulq(vecA,vdupq_n_f16(invUT));
+
+
+ vst1q(&pX[i*cols+j],vecA);
+ }
+
+ for(; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ ut_row = &pUT[n*i];
+
+ _Float16 tmp=a_col[i * cols];
+
+ for(k=n-1; k > i; k--)
+ {
+ tmp -= (_Float16)ut_row[k] * (_Float16)pX[cols*k+j];
+ }
+
+ if ((_Float16)ut_row[i]==0.0f16)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / (_Float16)ut_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+ arm_status arm_mat_solve_upper_triangular_f16(
+ const arm_matrix_instance_f16 * ut,
+ const arm_matrix_instance_f16 * a,
+ arm_matrix_instance_f16 * dst)
+ {
+arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((ut->numRows != ut->numCols) ||
+ (ut->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float16_t *pX = dst->pData;
+ float16_t *pUT = ut->pData;
+ float16_t *pA = a->pData;
+
+ float16_t *ut_row;
+ float16_t *a_col;
+
+ for(j=0; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ for(i=n-1; i >= 0 ; i--)
+ {
+ ut_row = &pUT[n*i];
+
+ float16_t tmp=a_col[i * cols];
+
+ for(k=n-1; k > i; k--)
+ {
+ tmp -= (_Float16)ut_row[k] * (_Float16)pX[cols*k+j];
+ }
+
+ if ((_Float16)ut_row[i]==0.0f16)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = (_Float16)tmp / (_Float16)ut_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixInv group
+ */
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f32.c
new file mode 100644
index 00000000..f58dfbd9
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f32.c
@@ -0,0 +1,319 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_solve_upper_triangular_f32.c
+ * Description: Solve linear system UT X = A with UT upper triangular matrix
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ * @brief Solve UT . X = A where UT is an upper triangular matrix
+ * @param[in] ut The upper triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of UT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+ arm_status arm_mat_solve_upper_triangular_f32(
+ const arm_matrix_instance_f32 * ut,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst)
+ {
+arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((ut->numRows != ut->numCols) ||
+ (ut->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float32_t *pX = dst->pData;
+ float32_t *pUT = ut->pData;
+ float32_t *pA = a->pData;
+
+ float32_t *ut_row;
+ float32_t *a_col;
+
+ float32_t invUT;
+
+ f32x4_t vecA;
+ f32x4_t vecX;
+
+ for(i=n-1; i >= 0 ; i--)
+ {
+ for(j=0; j+3 < cols; j +=4)
+ {
+ vecA = vld1q_f32(&pA[i * cols + j]);
+
+ for(k=n-1; k > i; k--)
+ {
+ vecX = vld1q_f32(&pX[cols*k+j]);
+ vecA = vfmsq(vecA,vdupq_n_f32(pUT[n*i + k]),vecX);
+ }
+
+ if (pUT[n*i + i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+
+ invUT = 1.0f / pUT[n*i + i];
+ vecA = vmulq(vecA,vdupq_n_f32(invUT));
+
+
+ vst1q(&pX[i*cols+j],vecA);
+ }
+
+ for(; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ ut_row = &pUT[n*i];
+
+ float32_t tmp=a_col[i * cols];
+
+ for(k=n-1; k > i; k--)
+ {
+ tmp -= ut_row[k] * pX[cols*k+j];
+ }
+
+ if (ut_row[i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / ut_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE)
+ arm_status arm_mat_solve_upper_triangular_f32(
+ const arm_matrix_instance_f32 * ut,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst)
+ {
+arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((ut->numRows != ut->numCols) ||
+ (ut->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ int i,j,k,n,cols;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ float32_t *pX = dst->pData;
+ float32_t *pUT = ut->pData;
+ float32_t *pA = a->pData;
+
+ float32_t *ut_row;
+ float32_t *a_col;
+
+ float32_t invUT;
+
+ f32x4_t vecA;
+ f32x4_t vecX;
+
+ for(i=n-1; i >= 0 ; i--)
+ {
+ for(j=0; j+3 < cols; j +=4)
+ {
+ vecA = vld1q_f32(&pA[i * cols + j]);
+
+ for(k=n-1; k > i; k--)
+ {
+ vecX = vld1q_f32(&pX[cols*k+j]);
+ vecA = vfmsq_f32(vecA,vdupq_n_f32(pUT[n*i + k]),vecX);
+ }
+
+ if (pUT[n*i + i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+
+ invUT = 1.0f / pUT[n*i + i];
+ vecA = vmulq_f32(vecA,vdupq_n_f32(invUT));
+
+
+ vst1q_f32(&pX[i*cols+j],vecA);
+ }
+
+ for(; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ ut_row = &pUT[n*i];
+
+ float32_t tmp=a_col[i * cols];
+
+ for(k=n-1; k > i; k--)
+ {
+ tmp -= ut_row[k] * pX[cols*k+j];
+ }
+
+ if (ut_row[i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / ut_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+ arm_status arm_mat_solve_upper_triangular_f32(
+ const arm_matrix_instance_f32 * ut,
+ const arm_matrix_instance_f32 * a,
+ arm_matrix_instance_f32 * dst)
+ {
+arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((ut->numRows != ut->numCols) ||
+ (ut->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ int i,j,k,n,cols;
+
+ float32_t *pX = dst->pData;
+ float32_t *pUT = ut->pData;
+ float32_t *pA = a->pData;
+
+ float32_t *ut_row;
+ float32_t *a_col;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ for(j=0; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ for(i=n-1; i >= 0 ; i--)
+ {
+ float32_t tmp=a_col[i * cols];
+
+ ut_row = &pUT[n*i];
+
+ for(k=n-1; k > i; k--)
+ {
+ tmp -= ut_row[k] * pX[cols*k+j];
+ }
+
+ if (ut_row[i]==0.0f)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / ut_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixInv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f64.c
new file mode 100644
index 00000000..248273d4
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_solve_upper_triangular_f64.c
@@ -0,0 +1,120 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_solve_upper_triangular_f64.c
+ * Description: Solve linear system UT X = A with UT upper triangular matrix
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixInv
+ @{
+ */
+
+/**
+ * @brief Solve UT . X = A where UT is an upper triangular matrix
+ * @param[in] ut The upper triangular matrix
+ * @param[in] a The matrix a
+ * @param[out] dst The solution X of UT . X = A
+ * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+ */
+ arm_status arm_mat_solve_upper_triangular_f64(
+ const arm_matrix_instance_f64 * ut,
+ const arm_matrix_instance_f64 * a,
+ arm_matrix_instance_f64 * dst)
+ {
+arm_status status; /* status of matrix inverse */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((ut->numRows != ut->numCols) ||
+ (ut->numRows != a->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+
+ int i,j,k,n,cols;
+
+ float64_t *pX = dst->pData;
+ float64_t *pUT = ut->pData;
+ float64_t *pA = a->pData;
+
+ float64_t *ut_row;
+ float64_t *a_col;
+
+ n = dst->numRows;
+ cols = dst->numCols;
+
+ for(j=0; j < cols; j ++)
+ {
+ a_col = &pA[j];
+
+ for(i=n-1; i >= 0 ; i--)
+ {
+ float64_t tmp=a_col[i * cols];
+
+ ut_row = &pUT[n*i];
+
+ for(k=n-1; k > i; k--)
+ {
+ tmp -= ut_row[k] * pX[cols*k+j];
+ }
+
+ if (ut_row[i]==0.0)
+ {
+ return(ARM_MATH_SINGULAR);
+ }
+ tmp = tmp / ut_row[i];
+ pX[i*cols+j] = tmp;
+ }
+
+ }
+ status = ARM_MATH_SUCCESS;
+
+ }
+
+
+ /* Return to application */
+ return (status);
+}
+
+
+/**
+ @} end of MatrixInv group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f16.c
new file mode 100644
index 00000000..13291b8c
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f16.c
@@ -0,0 +1,215 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_f16.c
+ * Description: Floating-point matrix subtraction
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Floating-point matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_sub_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+ arm_status status; /* status of matrix subtraction */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ float16_t *pDataA, *pDataB, *pDataDst;
+ f16x8_t vecA, vecB, vecDst;
+ float16_t const *pSrcAVec;
+ float16_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (float16_t const *) pDataA;
+ pSrcBVec = (float16_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* sub and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 8;
+ vecDst = vsubq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ vecDst = vsubq_m(vecDst, vecA, vecB, p0);
+ vstrhq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+
+arm_status arm_mat_sub_f16(
+ const arm_matrix_instance_f16 * pSrcA,
+ const arm_matrix_instance_f16 * pSrcB,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float16_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (_Float16)(*pInA++) - (_Float16)(*pInB++);
+ *pOut++ = (_Float16)(*pInA++) - (_Float16)(*pInB++);
+ *pOut++ = (_Float16)(*pInA++) - (_Float16)(*pInB++);
+ *pOut++ = (_Float16)(*pInA++) - (_Float16)(*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (_Float16)(*pInA++) - (_Float16)(*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixSub group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c
new file mode 100644
index 00000000..e9a17d1b
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c
@@ -0,0 +1,298 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_f32.c
+ * Description: Floating-point matrix subtraction
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixSub Matrix Subtraction
+
+ Subtract two matrices.
+ \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices"
+
+ The functions check to make sure that
+ pSrcA, pSrcB, and pDst have the same
+ number of rows and columns.
+ */
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Floating-point matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ arm_status status; /* status of matrix subtraction */
+ uint32_t numSamples; /* total number of elements in the matrix */
+ float32_t *pDataA, *pDataB, *pDataDst;
+ f32x4_t vecA, vecB, vecDst;
+ float32_t const *pSrcAVec;
+ float32_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (float32_t const *) pDataA;
+ pSrcBVec = (float32_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* sub and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vsubq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ vecB = vld1q(pSrcBVec);
+ vecDst = vsubq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ float32x4_t vec1;
+ float32x4_t vec2;
+ float32x4_t res;
+
+ /* Total number of samples in the input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+ blkCnt = numSamples >> 2U;
+
+ /* Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+ /* Subtract and then store the results in the destination buffer. */
+ /* Read values from source A */
+ vec1 = vld1q_f32(pIn1);
+ vec2 = vld1q_f32(pIn2);
+ res = vsubq_f32(vec1, vec2);
+ vst1q_f32(pOut, res);
+
+ /* Update pointers to process next samples */
+ pIn1 += 4U;
+ pIn2 += 4U;
+ pOut += 4U;
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x4U;
+
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+ /* Subtract and then store the results in the destination buffer. */
+ *pOut++ = (*pIn1++) - (*pIn2++);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (*pInA++) - (*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of MatrixSub group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f64.c
new file mode 100644
index 00000000..245a76d0
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f64.c
@@ -0,0 +1,143 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_f64.c
+ * Description: Floating-point matrix subtraction
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixSub Matrix Subtraction
+
+ Subtract two matrices.
+ \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices"
+
+ The functions check to make sure that
+ pSrcA, pSrcB, and pDst have the same
+ number of rows and columns.
+ */
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Floating-point matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+arm_status arm_mat_sub_f64(
+ const arm_matrix_instance_f64 * pSrcA,
+ const arm_matrix_instance_f64 * pSrcB,
+ arm_matrix_instance_f64 * pDst)
+{
+ float64_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ float64_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ float64_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint64_t numSamples; /* total number of elements in the matrix */
+ uint64_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint64_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+ *pOut++ = (*pInA++) - (*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+ *pOut++ = (*pInA++) - (*pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixSub group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c
new file mode 100644
index 00000000..c3799969
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c
@@ -0,0 +1,219 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_q15.c
+ * Description: Q15 Matrix subtraction
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Q15 matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+arm_status arm_mat_sub_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q15_t *pDataA, *pDataB, *pDataDst;
+ q15x8_t vecA, vecB, vecDst;
+ q15_t const *pSrcAVec;
+ q15_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q15_t const *) pDataA;
+ pSrcBVec = (q15_t const *) pDataB;
+
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 3;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* sub and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqsubq(vecA, vecB);
+ vst1q(pDataDst, vecDst); pDataDst += 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecA = vld1q(pSrcAVec); pSrcAVec += 8;
+ vecB = vld1q(pSrcBVec); pSrcBVec += 8;
+ vecDst = vqsubq_m(vecDst, vecA, vecB, p0);
+ vstrhq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_sub_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract, Saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+ write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+ *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++);
+#else
+ *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+#endif
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixSub group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c
new file mode 100644
index 00000000..5045b298
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c
@@ -0,0 +1,218 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_sub_q31.c
+ * Description: Q31 matrix subtraction
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixSub
+ @{
+ */
+
+/**
+ @brief Q31 matrix subtraction.
+ @param[in] pSrcA points to the first input matrix structure
+ @param[in] pSrcB points to the second input matrix structure
+ @param[out] pDst points to output matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function uses saturating arithmetic.
+ Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_sub_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ uint32_t numSamples; /* total number of elements in the matrix */
+ q31_t *pDataA, *pDataB, *pDataDst;
+ q31x4_t vecA, vecB, vecDst;
+ q31_t const *pSrcAVec;
+ q31_t const *pSrcBVec;
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+ pDataA = pSrcA->pData;
+ pDataB = pSrcB->pData;
+ pDataDst = pDst->pData;
+ pSrcAVec = (q31_t const *) pDataA;
+ pSrcBVec = (q31_t const *) pDataB;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+
+ /*
+ * Total number of samples in the input matrix
+ */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+ blkCnt = numSamples >> 2;
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) + B(m,n) */
+ /* sub and then store the results in the destination buffer. */
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqsubq(vecA, vecB);
+ vst1q(pDataDst, vecDst);
+ pDataDst += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+ /*
+ * tail
+ */
+ blkCnt = numSamples & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ vecA = vld1q(pSrcAVec);
+ pSrcAVec += 4;
+ vecB = vld1q(pSrcBVec);
+ pSrcBVec += 4;
+ vecDst = vqsubq_m(vecDst, vecA, vecB, p0);
+ vstrwq_p(pDataDst, vecDst, p0);
+ }
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+arm_status arm_mat_sub_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */
+ q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+
+ uint32_t numSamples; /* total number of elements in the matrix */
+ uint32_t blkCnt; /* loop counters */
+ arm_status status; /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrcA->numRows != pSrcB->numRows) ||
+ (pSrcA->numCols != pSrcB->numCols) ||
+ (pSrcA->numRows != pDst->numRows) ||
+ (pSrcA->numCols != pDst->numCols) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Total number of samples in input matrix */
+ numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract, saturate and then store the results in the destination buffer. */
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* C(m,n) = A(m,n) - B(m,n) */
+
+ /* Subtract, saturate and store result in destination buffer. */
+ *pOut++ = __QSUB(*pInA++, *pInB++);
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixSub group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f16.c
new file mode 100644
index 00000000..8a41ccbc
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f16.c
@@ -0,0 +1,202 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_f16.c
+ * Description: Floating-point matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Floating-point matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_trans_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst)
+{
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ if (pDst->numRows == pDst->numCols)
+ {
+ if (pDst->numCols == 1)
+ {
+ pDst->pData[0] = pSrc->pData[0];
+ return(ARM_MATH_SUCCESS);
+ }
+ if (pDst->numCols == 2)
+ return arm_mat_trans_16bit_2x2((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ if (pDst->numCols == 3)
+ return arm_mat_trans_16bit_3x3_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ if (pDst->numCols == 4)
+ return arm_mat_trans_16bit_4x4_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ }
+
+ arm_mat_trans_16bit_generic(pSrc->numRows, pSrc->numCols, (uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+
+arm_status arm_mat_trans_f16(
+ const arm_matrix_instance_f16 * pSrc,
+ arm_matrix_instance_f16 * pDst)
+{
+ float16_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float16_t *pOut = pDst->pData; /* output data matrix pointer */
+ float16_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint32_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer px is set to starting address of column being processed */
+ px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixTrans group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c
new file mode 100644
index 00000000..b4116630
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c
@@ -0,0 +1,325 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_f32.c
+ * Description: Floating-point matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixTrans Matrix Transpose
+
+ Tranposes a matrix.
+
+ Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix.
+ \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Floating-point matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+ {
+ if (pDst->numRows == pDst->numCols)
+ {
+ if (pDst->numCols == 2)
+ return arm_mat_trans_32bit_2x2_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 3)
+ return arm_mat_trans_32bit_3x3_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 4)
+ return arm_mat_trans_32bit_4x4_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ }
+
+ arm_mat_trans_32bit_generic_mve(pSrc->numRows, pSrc->numCols, (uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+#else
+#if defined(ARM_MATH_NEON)
+
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nColumns = pSrc->numCols; /* number of columns */
+
+ uint16_t blkCnt, rowCnt, i = 0U, row = nRows; /* loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* Row loop */
+ rowCnt = row >> 2;
+ while (rowCnt > 0U)
+ {
+ float32x4_t row0V,row1V,row2V,row3V;
+ float32x4x2_t ra0,ra1,rb0,rb1;
+
+ blkCnt = nColumns >> 2;
+
+ /* The pointer px is set to starting address of the column being processed */
+ px = pOut + i;
+
+ /* Compute 4 outputs at a time.
+ ** a second loop below computes the remaining 1 to 3 samples. */
+ while (blkCnt > 0U) /* Column loop */
+ {
+ row0V = vld1q_f32(pIn);
+ row1V = vld1q_f32(pIn + 1 * nColumns);
+ row2V = vld1q_f32(pIn + 2 * nColumns);
+ row3V = vld1q_f32(pIn + 3 * nColumns);
+ pIn += 4;
+
+ ra0 = vzipq_f32(row0V,row2V);
+ ra1 = vzipq_f32(row1V,row3V);
+
+ rb0 = vzipq_f32(ra0.val[0],ra1.val[0]);
+ rb1 = vzipq_f32(ra0.val[1],ra1.val[1]);
+
+ vst1q_f32(px,rb0.val[0]);
+ px += nRows;
+
+ vst1q_f32(px,rb0.val[1]);
+ px += nRows;
+
+ vst1q_f32(px,rb1.val[0]);
+ px += nRows;
+
+ vst1q_f32(px,rb1.val[1]);
+ px += nRows;
+
+ /* Decrement the column loop counter */
+ blkCnt--;
+ }
+
+ /* Perform matrix transpose for last 3 samples here. */
+ blkCnt = nColumns % 0x4U;
+
+ while (blkCnt > 0U)
+ {
+ /* Read and store the input element in the destination */
+ *px++ = *pIn;
+ *px++ = *(pIn + 1 * nColumns);
+ *px++ = *(pIn + 2 * nColumns);
+ *px++ = *(pIn + 3 * nColumns);
+
+ px += (nRows - 4);
+ pIn++;
+
+ /* Decrement the column loop counter */
+ blkCnt--;
+ }
+
+ i += 4;
+ pIn += 3 * nColumns;
+
+ /* Decrement the row loop counter */
+ rowCnt--;
+
+ } /* Row loop end */
+
+ rowCnt = row & 3;
+ while (rowCnt > 0U)
+ {
+ blkCnt = nColumns ;
+ /* The pointer px is set to starting address of the column being processed */
+ px = pOut + i;
+
+ while (blkCnt > 0U)
+ {
+ /* Read and store the input element in the destination */
+ *px = *pIn++;
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += nRows;
+
+ /* Decrement the column loop counter */
+ blkCnt--;
+ }
+ i++;
+ rowCnt -- ;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst)
+{
+ float32_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float32_t *pOut = pDst->pData; /* output data matrix pointer */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint32_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer px is set to starting address of column being processed */
+ px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f64.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f64.c
new file mode 100644
index 00000000..57b5043f
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f64.c
@@ -0,0 +1,155 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_f64.c
+ * Description: Floating-point matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @defgroup MatrixTrans Matrix Transpose
+
+ Tranposes a matrix.
+
+ Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix.
+ \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Floating-point matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+arm_status arm_mat_trans_f64(
+ const arm_matrix_instance_f64 * pSrc,
+ arm_matrix_instance_f64 * pDst)
+{
+ float64_t *pIn = pSrc->pData; /* input data matrix pointer */
+ float64_t *pOut = pDst->pData; /* output data matrix pointer */
+ float64_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint64_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer px is set to starting address of column being processed */
+ px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ * @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c
new file mode 100644
index 00000000..e7409222
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_q15.c
+ * Description: Q15 matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Q15 matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+
+
+arm_status arm_mat_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst)
+{
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ if (pDst->numRows == pDst->numCols)
+ {
+ if (pDst->numCols == 1)
+ {
+ pDst->pData[0] = pSrc->pData[0];
+ return(ARM_MATH_SUCCESS);
+ }
+ if (pDst->numCols == 2)
+ return arm_mat_trans_16bit_2x2((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ if (pDst->numCols == 3)
+ return arm_mat_trans_16bit_3x3_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ if (pDst->numCols == 4)
+ return arm_mat_trans_16bit_4x4_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ }
+
+ arm_mat_trans_16bit_generic(pSrc->numRows, pSrc->numCols, (uint16_t *)pSrc->pData, (uint16_t *)pDst->pData);
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst)
+{
+ q15_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q15_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint32_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t in; /* variable to hold temporary output */
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer pOut is set to starting address of column being processed */
+ pOut = pDst->pData + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read two elements from row */
+ in = read_q15x2_ia (&pIn);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) in;
+#else
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *pOut = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Read two elements from row */
+ in = read_q15x2_ia (&pIn);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) in;
+#else
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *pOut = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *pOut = *pIn++;
+
+ /* Update pointer pOut to point to next row of transposed matrix */
+ pOut += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c
new file mode 100644
index 00000000..2c772547
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c
@@ -0,0 +1,191 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_q31.c
+ * Description: Q31 matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Q31 matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+arm_status arm_mat_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst)
+{
+ arm_status status; /* status of matrix transpose */
+ #ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ if (pDst->numRows == pDst->numCols)
+ {
+ if (pDst->numCols == 2)
+ return arm_mat_trans_32bit_2x2_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 3)
+ return arm_mat_trans_32bit_3x3_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ if (pDst->numCols == 4)
+ return arm_mat_trans_32bit_4x4_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ }
+
+ arm_mat_trans_32bit_generic_mve(pSrc->numRows, pSrc->numCols, (uint32_t *)pSrc->pData, (uint32_t *)pDst->pData);
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#else
+arm_status arm_mat_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst)
+{
+ q31_t *pIn = pSrc->pData; /* input data matrix pointer */
+ q31_t *pOut = pDst->pData; /* output data matrix pointer */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of rows */
+ uint16_t nCols = pSrc->numCols; /* number of columns */
+ uint32_t col, row = nRows, i = 0U; /* Loop counters */
+ arm_status status; /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) ||
+ (pSrc->numCols != pDst->numRows) )
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ }
+ else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do
+ {
+ /* Pointer px is set to starting address of column being processed */
+ px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ col = nCols >> 2U;
+
+ while (col > 0U) /* column loop */
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ *px = *pIn++;
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ col = nCols % 0x4U;
+
+#else
+
+ /* Initialize col with number of samples */
+ col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pIn++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += nRows;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U); /* row loop end */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q7.c
new file mode 100644
index 00000000..a500d055
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q7.c
@@ -0,0 +1,171 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_trans_q7.c
+ * Description: Q7 matrix transpose
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ @ingroup groupMatrix
+ */
+
+/**
+ @addtogroup MatrixTrans
+ @{
+ */
+
+/**
+ @brief Q7 matrix transpose.
+ @param[in] pSrc points to input matrix
+ @param[out] pDst points to output matrix
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+arm_status arm_mat_trans_q7(const arm_matrix_instance_q7 *pSrc, arm_matrix_instance_q7 *pDst)
+{
+
+ uint16x8_t vecOffs;
+ uint32_t i;
+ uint32_t blkCnt;
+ uint8_t const *pDataC;
+ uint8_t *pDataDestR;
+ uint16x8_t vecIn;
+
+ const uint8_t * pDataSrc=(const uint8_t *)pSrc->pData;
+ uint8_t * pDataDst=(uint8_t *)pDst->pData;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+ {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ return ARM_MATH_SIZE_MISMATCH;
+ }
+#endif
+
+ vecOffs = vidupq_u16((uint32_t)0, 1);
+ vecOffs = vecOffs * pSrc->numCols;
+
+ i = pSrc->numCols;
+ do
+ {
+ pDataC = (uint8_t const *) pDataSrc;
+ pDataDestR = (uint8_t*)pDataDst;
+
+ blkCnt = pSrc->numRows >> 3;
+ while (blkCnt > 0U)
+ {
+ /* widened loads */
+ vecIn = vldrbq_gather_offset_u16(pDataC, vecOffs);
+ vstrbq_u16(pDataDestR, vecIn);
+ pDataDestR += 8;
+ pDataC = pDataC + pSrc->numCols * 8;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = pSrc->numRows & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ vecIn = vldrbq_gather_offset_u16(pDataC, vecOffs);
+ vstrbq_p_u16(pDataDestR, vecIn, p0);
+ }
+ pDataSrc += 1;
+ pDataDst += pSrc->numRows;
+ }
+ while (--i);
+
+ return (ARM_MATH_SUCCESS);
+}
+#else
+arm_status arm_mat_trans_q7(const arm_matrix_instance_q7 *pSrc, arm_matrix_instance_q7 *pDst)
+{
+ q7_t *pSrcA = pSrc->pData; /* input data matrix pointer */
+ q7_t *pOut = pDst->pData; /* output data matrix pointer */
+ uint16_t nRows = pSrc->numRows; /* number of nRows */
+ uint16_t nColumns = pSrc->numCols; /* number of nColumns */
+ uint16_t col, row = nRows, i = 0U; /* row and column loop counters */
+ arm_status status; /* status of matrix transpose */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+ /* Check for matrix mismatch condition */
+ if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) {
+ /* Set status as ARM_MATH_SIZE_MISMATCH */
+ status = ARM_MATH_SIZE_MISMATCH;
+ } else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+ {
+ /* Matrix transpose by exchanging the rows with columns */
+ /* row loop */
+ do {
+ /* The pointer pOut is set to starting address of the column being processed */
+ pOut = pDst->pData + i;
+
+ /* Initialize column loop counter */
+ col = nColumns;
+
+
+ while (col > 0U) {
+ /* Read and store the input element in the destination */
+ *pOut = *pSrcA++;
+
+ /* Update the pointer pOut to point to the next row of the transposed matrix */
+ pOut += nRows;
+
+ /* Decrement the column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement the row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+ /* Return to application */
+ return (status);
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+
+/**
+ @} end of MatrixTrans group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_f16.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_f16.c
new file mode 100644
index 00000000..f592f6fa
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_f16.c
@@ -0,0 +1,396 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_vec_mult_f16.c
+ * Description: Floating-point matrix and vector multiplication
+ *
+ * $Date: 23 April 2021
+ *
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions_f16.h"
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+/**
+ * @ingroup groupMatrix
+ */
+
+
+/**
+ * @addtogroup MatrixVectMult
+ * @{
+ */
+
+/**
+ * @brief Floating-point matrix and vector multiplication.
+ * @param[in] *pSrcMat points to the input matrix structure
+ * @param[in] *pVec points to input vector
+ * @param[out] *pDst points to output vector
+ */
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_mat_vec_mult_f16(
+ const arm_matrix_instance_f16 *pSrcMat,
+ const float16_t *pSrcVec,
+ float16_t *pDstVec)
+{
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ const float16_t *pSrcA = pSrcMat->pData;
+ const float16_t *pInA0;
+ const float16_t *pInA1;
+ float16_t *px;
+ int32_t row;
+ uint32_t blkCnt; /* loop counters */
+
+ row = numRows;
+ px = pDstVec;
+
+ /*
+ * compute 4 rows in parallel
+ */
+ while (row >= 4)
+ {
+ const float16_t *pInA2, *pInA3;
+ float16_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec, *pInVec;
+ f16x8_t vecIn, acc0, acc1, acc2, acc3;
+ float16_t const *pSrcVecPtr = pSrcVec;
+
+ /*
+ * Initialize the pointers to 4 consecutive MatrixA rows
+ */
+ pInA0 = pSrcA;
+ pInA1 = pInA0 + numCols;
+ pInA2 = pInA1 + numCols;
+ pInA3 = pInA2 + numCols;
+ /*
+ * Initialize the vector pointer
+ */
+ pInVec = pSrcVecPtr;
+ /*
+ * reset accumulators
+ */
+ acc0 = vdupq_n_f16(0.0f);
+ acc1 = vdupq_n_f16(0.0f);
+ acc2 = vdupq_n_f16(0.0f);
+ acc3 = vdupq_n_f16(0.0f);
+
+ pSrcA0Vec = pInA0;
+ pSrcA1Vec = pInA1;
+ pSrcA2Vec = pInA2;
+ pSrcA3Vec = pInA3;
+
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ f16x8_t vecA;
+
+ vecIn = vld1q(pInVec);
+ pInVec += 8;
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 8;
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ pSrcA1Vec += 8;
+ acc1 = vfmaq(acc1, vecIn, vecA);
+ vecA = vld1q(pSrcA2Vec);
+ pSrcA2Vec += 8;
+ acc2 = vfmaq(acc2, vecIn, vecA);
+ vecA = vld1q(pSrcA3Vec);
+ pSrcA3Vec += 8;
+ acc3 = vfmaq(acc3, vecIn, vecA);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ f16x8_t vecA;
+
+ vecIn = vldrhq_z_f16(pInVec, p0);
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vfmaq(acc1, vecIn, vecA);
+ vecA = vld1q(pSrcA2Vec);
+ acc2 = vfmaq(acc2, vecIn, vecA);
+ vecA = vld1q(pSrcA3Vec);
+ acc3 = vfmaq(acc3, vecIn, vecA);
+ }
+ /*
+ * Sum the partial parts
+ */
+ *px++ = vecAddAcrossF16Mve(acc0);
+ *px++ = vecAddAcrossF16Mve(acc1);
+ *px++ = vecAddAcrossF16Mve(acc2);
+ *px++ = vecAddAcrossF16Mve(acc3);
+
+ pSrcA += numCols * 4;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 4;
+ }
+
+ /*
+ * compute 2 rows in parrallel
+ */
+ if (row >= 2)
+ {
+ float16_t const *pSrcA0Vec, *pSrcA1Vec, *pInVec;
+ f16x8_t vecIn, acc0, acc1;
+ float16_t const *pSrcVecPtr = pSrcVec;
+
+ /*
+ * Initialize the pointers to 2 consecutive MatrixA rows
+ */
+ pInA0 = pSrcA;
+ pInA1 = pInA0 + numCols;
+ /*
+ * Initialize the vector pointer
+ */
+ pInVec = pSrcVecPtr;
+ /*
+ * reset accumulators
+ */
+ acc0 = vdupq_n_f16(0.0f);
+ acc1 = vdupq_n_f16(0.0f);
+ pSrcA0Vec = pInA0;
+ pSrcA1Vec = pInA1;
+
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ f16x8_t vecA;
+
+ vecIn = vld1q(pInVec);
+ pInVec += 8;
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 8;
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ pSrcA1Vec += 8;
+ acc1 = vfmaq(acc1, vecIn, vecA);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ f16x8_t vecA;
+
+ vecIn = vldrhq_z_f16(pInVec, p0);
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vfmaq(acc1, vecIn, vecA);
+ }
+ /*
+ * Sum the partial parts
+ */
+ *px++ = vecAddAcrossF16Mve(acc0);
+ *px++ = vecAddAcrossF16Mve(acc1);
+
+ pSrcA += numCols * 2;
+ row -= 2;
+ }
+
+ if (row >= 1)
+ {
+ f16x8_t vecIn, acc0;
+ float16_t const *pSrcA0Vec, *pInVec;
+ float16_t const *pSrcVecPtr = pSrcVec;
+ /*
+ * Initialize the pointers to last MatrixA row
+ */
+ pInA0 = pSrcA;
+ /*
+ * Initialize the vector pointer
+ */
+ pInVec = pSrcVecPtr;
+ /*
+ * reset accumulators
+ */
+ acc0 = vdupq_n_f16(0.0f);
+
+ pSrcA0Vec = pInA0;
+
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ f16x8_t vecA;
+
+ vecIn = vld1q(pInVec);
+ pInVec += 8;
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 8;
+ acc0 = vfmaq(acc0, vecIn, vecA);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+ f16x8_t vecA;
+
+ vecIn = vldrhq_z_f16(pInVec, p0);
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ }
+ /*
+ * Sum the partial parts
+ */
+ *px++ = vecAddAcrossF16Mve(acc0);
+ }
+}
+#else
+void arm_mat_vec_mult_f16(const arm_matrix_instance_f16 *pSrcMat, const float16_t *pVec, float16_t *pDst)
+{
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ const float16_t *pSrcA = pSrcMat->pData;
+ const float16_t *pInA1; /* input data matrix pointer A of Q31 type */
+ const float16_t *pInA2; /* input data matrix pointer A of Q31 type */
+ const float16_t *pInA3; /* input data matrix pointer A of Q31 type */
+ const float16_t *pInA4; /* input data matrix pointer A of Q31 type */
+ const float16_t *pInVec; /* input data matrix pointer B of Q31 type */
+ float16_t *px; /* Temporary output data matrix pointer */
+ uint16_t i, row, colCnt; /* loop counters */
+ float16_t matData, matData2, vecData, vecData2;
+
+
+ /* Process 4 rows at a time */
+ row = numRows >> 2;
+ i = 0u;
+ px = pDst;
+
+ /* The following loop performs the dot-product of each row in pSrcA with the vector */
+ /* row loop */
+ while (row > 0) {
+ /* For every row wise process, the pInVec pointer is set
+ ** to the starting address of the vector */
+ pInVec = pVec;
+
+ /* Initialize accumulators */
+ float16_t sum1 = 0.0f16;
+ float16_t sum2 = 0.0f16;
+ float16_t sum3 = 0.0f16;
+ float16_t sum4 = 0.0f16;
+
+ /* Loop unrolling: process 2 columns per iteration */
+ colCnt = numCols;
+
+ /* Initialize pointers to the starting address of the column being processed */
+ pInA1 = pSrcA + i;
+ pInA2 = pInA1 + numCols;
+ pInA3 = pInA2 + numCols;
+ pInA4 = pInA3 + numCols;
+
+
+ // Main loop: matrix-vector multiplication
+ while (colCnt > 0u) {
+ // Read 2 values from vector
+ vecData = *(pInVec)++;
+ // Read 8 values from the matrix - 2 values from each of 4 rows, and do multiply accumulate
+ matData = *(pInA1)++;
+ sum1 += (_Float16)matData * (_Float16)vecData;
+ matData = *(pInA2)++;
+ sum2 += (_Float16)matData * (_Float16)vecData;
+ matData = *(pInA3)++;
+ sum3 += (_Float16)matData * (_Float16)vecData;
+ matData = *(pInA4)++;
+ sum4 += (_Float16)matData * (_Float16)vecData;
+
+ // Decrement the loop counter
+ colCnt--;
+ }
+
+ /* Saturate and store the result in the destination buffer */
+ *px++ = sum1;
+ *px++ = sum2;
+ *px++ = sum3;
+ *px++ = sum4;
+
+ i = i + numCols * 4;
+
+ /* Decrement the row loop counter */
+ row--;
+ }
+
+ /* process any remaining rows */
+ row = numRows & 3u;
+ while (row > 0) {
+
+ float16_t sum = 0.0f16;
+ pInVec = pVec;
+ pInA1 = pSrcA + i;
+
+ colCnt = numCols >> 1;
+
+ while (colCnt > 0) {
+ vecData = *(pInVec)++;
+ vecData2 = *(pInVec)++;
+ matData = *(pInA1)++;
+ matData2 = *(pInA1)++;
+ sum += (_Float16)matData * (_Float16)vecData;
+ sum += (_Float16)matData2 * (_Float16)vecData2;
+ colCnt--;
+ }
+ // process remainder of row
+ colCnt = numCols & 1u;
+ while (colCnt > 0) {
+ sum += (_Float16)*pInA1++ * (_Float16)*pInVec++;
+ colCnt--;
+ }
+
+ *px++ = sum;
+ i = i + numCols;
+ row--;
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixMult group
+ */
+
+#endif /* #if defined(ARM_FLOAT16_SUPPORTED) */
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_f32.c
new file mode 100644
index 00000000..b112d349
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_f32.c
@@ -0,0 +1,399 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_vec_mult_f32.c
+ * Description: Floating-point matrix and vector multiplication
+ *
+ * $Date: 23 April 2021
+ *
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+
+/**
+ * @ingroup groupMatrix
+ */
+
+/**
+ * @defgroup MatrixVectMult Matrix Vector Multiplication
+ *
+ * Multiplies a matrix and a vector.
+ *
+ */
+
+/**
+ * @addtogroup MatrixVectMult
+ * @{
+ */
+
+/**
+ * @brief Floating-point matrix and vector multiplication.
+ * @param[in] *pSrcMat points to the input matrix structure
+ * @param[in] *pVec points to input vector
+ * @param[out] *pDst points to output vector
+ */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_mat_vec_mult_f32(
+ const arm_matrix_instance_f32 *pSrcMat,
+ const float32_t *pSrcVec,
+ float32_t *pDstVec)
+{
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ const float32_t *pSrcA = pSrcMat->pData;
+ const float32_t *pInA0;
+ const float32_t *pInA1;
+ float32_t *px;
+ int32_t row;
+ uint32_t blkCnt; /* loop counters */
+
+ row = numRows;
+ px = pDstVec;
+
+ /*
+ * compute 4 rows in parallel
+ */
+ while (row >= 4)
+ {
+ const float32_t *pInA2, *pInA3;
+ float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec, *pInVec;
+ f32x4_t vecIn, acc0, acc1, acc2, acc3;
+ float32_t const *pSrcVecPtr = pSrcVec;
+
+ /*
+ * Initialize the pointers to 4 consecutive MatrixA rows
+ */
+ pInA0 = pSrcA;
+ pInA1 = pInA0 + numCols;
+ pInA2 = pInA1 + numCols;
+ pInA3 = pInA2 + numCols;
+ /*
+ * Initialize the vector pointer
+ */
+ pInVec = pSrcVecPtr;
+ /*
+ * reset accumulators
+ */
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ acc2 = vdupq_n_f32(0.0f);
+ acc3 = vdupq_n_f32(0.0f);
+
+ pSrcA0Vec = pInA0;
+ pSrcA1Vec = pInA1;
+ pSrcA2Vec = pInA2;
+ pSrcA3Vec = pInA3;
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vecA;
+
+ vecIn = vld1q(pInVec);
+ pInVec += 4;
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ pSrcA1Vec += 4;
+ acc1 = vfmaq(acc1, vecIn, vecA);
+ vecA = vld1q(pSrcA2Vec);
+ pSrcA2Vec += 4;
+ acc2 = vfmaq(acc2, vecIn, vecA);
+ vecA = vld1q(pSrcA3Vec);
+ pSrcA3Vec += 4;
+ acc3 = vfmaq(acc3, vecIn, vecA);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ f32x4_t vecA;
+
+ vecIn = vldrwq_z_f32(pInVec, p0);
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vfmaq(acc1, vecIn, vecA);
+ vecA = vld1q(pSrcA2Vec);
+ acc2 = vfmaq(acc2, vecIn, vecA);
+ vecA = vld1q(pSrcA3Vec);
+ acc3 = vfmaq(acc3, vecIn, vecA);
+ }
+ /*
+ * Sum the partial parts
+ */
+ *px++ = vecAddAcrossF32Mve(acc0);
+ *px++ = vecAddAcrossF32Mve(acc1);
+ *px++ = vecAddAcrossF32Mve(acc2);
+ *px++ = vecAddAcrossF32Mve(acc3);
+
+ pSrcA += numCols * 4;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 4;
+ }
+
+ /*
+ * compute 2 rows in parrallel
+ */
+ if (row >= 2)
+ {
+ float32_t const *pSrcA0Vec, *pSrcA1Vec, *pInVec;
+ f32x4_t vecIn, acc0, acc1;
+ float32_t const *pSrcVecPtr = pSrcVec;
+
+ /*
+ * Initialize the pointers to 2 consecutive MatrixA rows
+ */
+ pInA0 = pSrcA;
+ pInA1 = pInA0 + numCols;
+ /*
+ * Initialize the vector pointer
+ */
+ pInVec = pSrcVecPtr;
+ /*
+ * reset accumulators
+ */
+ acc0 = vdupq_n_f32(0.0f);
+ acc1 = vdupq_n_f32(0.0f);
+ pSrcA0Vec = pInA0;
+ pSrcA1Vec = pInA1;
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vecA;
+
+ vecIn = vld1q(pInVec);
+ pInVec += 4;
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ pSrcA1Vec += 4;
+ acc1 = vfmaq(acc1, vecIn, vecA);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ f32x4_t vecA;
+
+ vecIn = vldrwq_z_f32(pInVec, p0);
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ vecA = vld1q(pSrcA1Vec);
+ acc1 = vfmaq(acc1, vecIn, vecA);
+ }
+ /*
+ * Sum the partial parts
+ */
+ *px++ = vecAddAcrossF32Mve(acc0);
+ *px++ = vecAddAcrossF32Mve(acc1);
+
+ pSrcA += numCols * 2;
+ row -= 2;
+ }
+
+ if (row >= 1)
+ {
+ f32x4_t vecIn, acc0;
+ float32_t const *pSrcA0Vec, *pInVec;
+ float32_t const *pSrcVecPtr = pSrcVec;
+ /*
+ * Initialize the pointers to last MatrixA row
+ */
+ pInA0 = pSrcA;
+ /*
+ * Initialize the vector pointer
+ */
+ pInVec = pSrcVecPtr;
+ /*
+ * reset accumulators
+ */
+ acc0 = vdupq_n_f32(0.0f);
+
+ pSrcA0Vec = pInA0;
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ f32x4_t vecA;
+
+ vecIn = vld1q(pInVec);
+ pInVec += 4;
+ vecA = vld1q(pSrcA0Vec);
+ pSrcA0Vec += 4;
+ acc0 = vfmaq(acc0, vecIn, vecA);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+ f32x4_t vecA;
+
+ vecIn = vldrwq_z_f32(pInVec, p0);
+ vecA = vld1q(pSrcA0Vec);
+ acc0 = vfmaq(acc0, vecIn, vecA);
+ }
+ /*
+ * Sum the partial parts
+ */
+ *px++ = vecAddAcrossF32Mve(acc0);
+ }
+}
+#else
+
+void arm_mat_vec_mult_f32(const arm_matrix_instance_f32 *pSrcMat, const float32_t *pVec, float32_t *pDst)
+{
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ const float32_t *pSrcA = pSrcMat->pData;
+ const float32_t *pInA1; /* input data matrix pointer A of Q31 type */
+ const float32_t *pInA2; /* input data matrix pointer A of Q31 type */
+ const float32_t *pInA3; /* input data matrix pointer A of Q31 type */
+ const float32_t *pInA4; /* input data matrix pointer A of Q31 type */
+ const float32_t *pInVec; /* input data matrix pointer B of Q31 type */
+ float32_t *px; /* Temporary output data matrix pointer */
+ uint16_t i, row, colCnt; /* loop counters */
+ float32_t matData, matData2, vecData, vecData2;
+
+
+ /* Process 4 rows at a time */
+ row = numRows >> 2;
+ i = 0u;
+ px = pDst;
+
+ /* The following loop performs the dot-product of each row in pSrcA with the vector */
+ /* row loop */
+ while (row > 0) {
+ /* Initialize accumulators */
+ float32_t sum1 = 0.0f;
+ float32_t sum2 = 0.0f;
+ float32_t sum3 = 0.0f;
+ float32_t sum4 = 0.0f;
+
+ /* For every row wise process, the pInVec pointer is set
+ ** to the starting address of the vector */
+ pInVec = pVec;
+
+ /* Loop unrolling: process 2 columns per iteration */
+ colCnt = numCols;
+
+ /* Initialize pointers to the starting address of the column being processed */
+ pInA1 = pSrcA + i;
+ pInA2 = pInA1 + numCols;
+ pInA3 = pInA2 + numCols;
+ pInA4 = pInA3 + numCols;
+
+
+ // Main loop: matrix-vector multiplication
+ while (colCnt > 0u) {
+ // Read 2 values from vector
+ vecData = *(pInVec)++;
+ // Read 8 values from the matrix - 2 values from each of 4 rows, and do multiply accumulate
+ matData = *(pInA1)++;
+ sum1 += matData * vecData;
+ matData = *(pInA2)++;
+ sum2 += matData * vecData;
+ matData = *(pInA3)++;
+ sum3 += matData * vecData;
+ matData = *(pInA4)++;
+ sum4 += matData * vecData;
+
+ // Decrement the loop counter
+ colCnt--;
+ }
+
+ /* Saturate and store the result in the destination buffer */
+ *px++ = sum1;
+ *px++ = sum2;
+ *px++ = sum3;
+ *px++ = sum4;
+
+ i = i + numCols * 4;
+
+ /* Decrement the row loop counter */
+ row--;
+ }
+
+ /* process any remaining rows */
+ row = numRows & 3u;
+ while (row > 0) {
+
+ float32_t sum = 0.0f;
+ pInVec = pVec;
+ pInA1 = pSrcA + i;
+
+ colCnt = numCols >> 1;
+ while (colCnt > 0) {
+ vecData = *(pInVec)++;
+ vecData2 = *(pInVec)++;
+ matData = *(pInA1)++;
+ matData2 = *(pInA1)++;
+ sum += matData * vecData;
+ sum += matData2 * vecData2;
+ colCnt--;
+ }
+ // process remainder of row
+ colCnt = numCols & 1u;
+
+
+ while (colCnt > 0) {
+ sum += *pInA1++ * *pInVec++;
+ colCnt--;
+ }
+
+ *px++ = sum;
+ i = i + numCols;
+ row--;
+ }
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q15.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q15.c
new file mode 100644
index 00000000..04499f93
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q15.c
@@ -0,0 +1,388 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_vec_mult_q15.c
+ * Description: Q15 matrix and vector multiplication
+ *
+ * $Date: 23 April 2021
+ *
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ * @ingroup groupMatrix
+ */
+
+
+
+/**
+ * @addtogroup MatrixVectMult
+ * @{
+ */
+
+/**
+ * @brief Q15 matrix and vector multiplication.
+ * @param[in] *pSrcMat points to the input matrix structure
+ * @param[in] *pVec points to input vector
+ * @param[out] *pDst points to output vector
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_mat_vec_mult_q15(
+ const arm_matrix_instance_q15 * pSrcMat,
+ const q15_t *pSrcVec,
+ q15_t *pDstVec)
+{
+ const q15_t *pMatSrc = pSrcMat->pData;
+ const q15_t *pMat0, *pMat1;
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ q15_t *px;
+ int32_t row;
+ uint16_t blkCnt; /* loop counters */
+
+ row = numRows;
+ px = pDstVec;
+
+ /*
+ * compute 3x64-bit accumulators per loop
+ */
+ while (row >= 3)
+ {
+ q15_t const *pMat0Vec, *pMat1Vec, *pMat2Vec, *pVec;
+ const q15_t *pMat2;
+ q15_t const *pSrcVecPtr = pSrcVec;
+ q63_t acc0, acc1, acc2;
+ q15x8_t vecMatA0, vecMatA1, vecMatA2, vecIn;
+
+
+ pVec = pSrcVec;
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+ pMat1 = pMat0 + numCols;
+ pMat2 = pMat1 + numCols;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+
+ pMat0Vec = pMat0;
+ pMat1Vec = pMat1;
+ pMat2Vec = pMat2;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 8;
+ vecMatA1 = vld1q(pMat1Vec);
+ pMat1Vec += 8;
+ vecMatA2 = vld1q(pMat2Vec);
+ pMat2Vec += 8;
+ vecIn = vld1q(pVec);
+ pVec += 8;
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+ acc2 = vmlaldavaq(acc2, vecIn, vecMatA2);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecMatA1 = vld1q(pMat1Vec);
+ vecMatA2 = vld1q(pMat2Vec);
+ vecIn = vldrhq_z_s16(pVec, p0);
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+ acc2 = vmlaldavaq(acc2, vecIn, vecMatA2);
+ }
+
+ *px++ = MVE_ASRL_SAT16(acc0, 15);
+ *px++ = MVE_ASRL_SAT16(acc1, 15);
+ *px++ = MVE_ASRL_SAT16(acc2, 15);
+
+ pMatSrc += numCols * 3;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 3;
+ }
+
+ /*
+ * process any remaining rows pair
+ */
+ if (row >= 2)
+ {
+ q15_t const *pMat0Vec, *pMat1Vec, *pVec;
+ q15_t const *pSrcVecPtr = pSrcVec;
+ q63_t acc0, acc1;
+ q15x8_t vecMatA0, vecMatA1, vecIn;
+
+ /*
+ * For every row wise process, the pInVec pointer is set
+ * to the starting address of the vector
+ */
+ pVec = pSrcVec;
+
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+ pMat1 = pMat0 + numCols;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+ pMat0Vec = pMat0;
+ pMat1Vec = pMat1;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 8;
+ vecMatA1 = vld1q(pMat1Vec);
+ pMat1Vec += 8;
+ vecIn = vld1q(pVec);
+ pVec += 8;
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecMatA1 = vld1q(pMat1Vec);
+ vecIn = vldrhq_z_s16(pVec, p0);
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+ }
+
+ *px++ = MVE_ASRL_SAT16(acc0, 15);
+ *px++ = MVE_ASRL_SAT16(acc1, 15);
+
+ pMatSrc += numCols * 2;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 2;
+ }
+
+ if (row >= 1)
+ {
+ q15_t const *pMat0Vec, *pVec;
+ q15_t const *pSrcVecPtr = pSrcVec;
+ q63_t acc0;
+ q15x8_t vecMatA0, vecIn;
+
+ /*
+ * For every row wise process, the pInVec pointer is set
+ * to the starting address of the vector
+ */
+ pVec = pSrcVec;
+
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+
+ acc0 = 0LL;
+
+ pMat0Vec = pMat0;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 3;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 8;
+ vecIn = vld1q(pVec);
+ pVec += 8;
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 7;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp16q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecIn = vldrhq_z_s16(pVec, p0);
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ }
+ *px++ = MVE_ASRL_SAT16(acc0, 15);
+ }
+}
+
+#else
+void arm_mat_vec_mult_q15(const arm_matrix_instance_q15 *pSrcMat, const q15_t *pVec, q15_t *pDst)
+{
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ const q15_t *pSrcA = pSrcMat->pData;
+ const q15_t *pInA1; /* input data matrix pointer A of Q15 type */
+ const q15_t *pInA2; /* input data matrix pointer A of Q15 type */
+ const q15_t *pInA3; /* input data matrix pointer A of Q15 type */
+ const q15_t *pInA4; /* input data matrix pointer A of Q15 type */
+ const q15_t *pInVec; /* input data matrix pointer B of Q15 type */
+ q15_t *px; /* Temporary output data matrix pointer */
+ uint16_t i, row, colCnt; /* loop counters */
+ q31_t matData, matData2, vecData, vecData2;
+
+
+ /* Process 4 rows at a time */
+ row = numRows >> 2;
+ i = 0u;
+ px = pDst;
+
+ /* The following loop performs the dot-product of each row in pSrcA with the vector */
+ /* row loop */
+ while (row > 0) {
+ /* Initialize accumulators */
+ q63_t sum1 = 0;
+ q63_t sum2 = 0;
+ q63_t sum3 = 0;
+ q63_t sum4 = 0;
+
+ /* For every row wise process, the pInVec pointer is set
+ ** to the starting address of the vector */
+ pInVec = pVec;
+
+ /* Loop unrolling: process 2 columns per iteration */
+ colCnt = numCols >> 1;
+
+ /* Initialize pointers to the starting address of the column being processed */
+ pInA1 = pSrcA + i;
+ pInA2 = pInA1 + numCols;
+ pInA3 = pInA2 + numCols;
+ pInA4 = pInA3 + numCols;
+
+ // Main loop: matrix-vector multiplication
+ while (colCnt > 0u) {
+ // Read 2 values from vector
+ vecData = read_q15x2_ia (&pInVec);
+
+ // Read 8 values from the matrix - 2 values from each of 4 rows, and do multiply accumulate
+ matData = read_q15x2_ia (&pInA1);
+ sum1 = __SMLALD(matData, vecData, sum1);
+ matData = read_q15x2_ia (&pInA2);
+ sum2 = __SMLALD(matData, vecData, sum2);
+ matData = read_q15x2_ia (&pInA3);
+ sum3 = __SMLALD(matData, vecData, sum3);
+ matData = read_q15x2_ia (&pInA4);
+ sum4 = __SMLALD(matData, vecData, sum4);
+
+ // Decrement the loop counter
+ colCnt--;
+ }
+
+ /* process any remaining columns */
+ colCnt = numCols & 1u;
+ if (numCols & 1u) {
+ vecData = *pInVec++;
+ sum1 += (q63_t)*pInA1++ * vecData;
+ sum2 += (q63_t)*pInA2++ * vecData;
+ sum3 += (q63_t)*pInA3++ * vecData;
+ sum4 += (q63_t)*pInA4++ * vecData;
+ }
+
+ /* Saturate and store the result in the destination buffer */
+ *px++ = (q15_t)(__SSAT((sum1 >> 15), 16));
+ *px++ = (q15_t)(__SSAT((sum2 >> 15), 16));
+ *px++ = (q15_t)(__SSAT((sum3 >> 15), 16));
+ *px++ = (q15_t)(__SSAT((sum4 >> 15), 16));
+
+ i = i + numCols * 4;
+
+ /* Decrement the row loop counter */
+ row--;
+ }
+
+ /* process any remaining rows */
+ row = numRows & 3u;
+ while (row > 0) {
+
+ q63_t sum = 0;
+ pInVec = pVec;
+ pInA1 = pSrcA + i;
+
+ // loop unrolling - process 4 elements at a time
+ colCnt = numCols >> 2;
+
+ while (colCnt > 0) {
+ vecData = read_q15x2_ia (&pInVec);
+ vecData2 = read_q15x2_ia (&pInVec);
+ matData = read_q15x2_ia (&pInA1);
+ matData2 = read_q15x2_ia (&pInA1);
+ sum = __SMLALD(matData, vecData, sum);
+ sum = __SMLALD(matData2, vecData2, sum);
+ colCnt--;
+ }
+
+ // process remainder of row
+ colCnt = numCols & 3u;
+ while (colCnt > 0) {
+ sum += (q63_t)*pInA1++ * *pInVec++;
+ colCnt--;
+ }
+ *px++ = (q15_t)(__SSAT((sum >> 15), 16));
+ i = i + numCols;
+ row--;
+ }
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q31.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q31.c
new file mode 100644
index 00000000..9f491eab
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q31.c
@@ -0,0 +1,376 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_vec_mult_q31.c
+ * Description: Q31 matrix and vector multiplication
+ *
+ * $Date: 23 April 2021
+ *
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ * @ingroup groupMatrix
+ */
+
+
+
+/**
+ * @addtogroup MatrixVectMult
+ * @{
+ */
+
+/**
+ * @brief Q31 matrix and vector multiplication.
+ * @param[in] *pSrcMat points to the input matrix structure
+ * @param[in] *pVec points to the input vector
+ * @param[out] *pDst points to the output vector
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+void arm_mat_vec_mult_q31(
+ const arm_matrix_instance_q31 * pSrcMat,
+ const q31_t *pSrcVec,
+ q31_t *pDstVec)
+{
+ const q31_t *pMatSrc = pSrcMat->pData;
+ const q31_t *pMat0, *pMat1;
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ q31_t *px;
+ int32_t row;
+ uint16_t blkCnt; /* loop counters */
+
+ row = numRows;
+ px = pDstVec;
+
+ /*
+ * compute 3x64-bit accumulators per loop
+ */
+ while (row >= 3)
+ {
+ q31_t const *pMat0Vec, *pMat1Vec, *pMat2Vec, *pVec;
+ const q31_t *pMat2;
+ q31_t const *pSrcVecPtr = pSrcVec;
+ q63_t acc0, acc1, acc2;
+ q31x4_t vecMatA0, vecMatA1, vecMatA2, vecIn;
+
+
+ pVec = pSrcVec;
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+ pMat1 = pMat0 + numCols;
+ pMat2 = pMat1 + numCols;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+ acc2 = 0LL;
+
+ pMat0Vec = pMat0;
+ pMat1Vec = pMat1;
+ pMat2Vec = pMat2;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 4;
+ vecMatA1 = vld1q(pMat1Vec);
+ pMat1Vec += 4;
+ vecMatA2 = vld1q(pMat2Vec);
+ pMat2Vec += 4;
+ vecIn = vld1q(pVec);
+ pVec += 4;
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+ acc2 = vmlaldavaq(acc2, vecIn, vecMatA2);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecMatA1 = vld1q(pMat1Vec);
+ vecMatA2 = vld1q(pMat2Vec);
+ vecIn = vldrwq_z_s32(pVec, p0);
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+ acc2 = vmlaldavaq(acc2, vecIn, vecMatA2);
+ }
+
+ *px++ = asrl(acc0, 31);
+ *px++ = asrl(acc1, 31);
+ *px++ = asrl(acc2, 31);
+
+ pMatSrc += numCols * 3;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 3;
+ }
+
+ /*
+ * process any remaining rows pair
+ */
+ if (row >= 2)
+ {
+ q31_t const *pMat0Vec, *pMat1Vec, *pVec;
+ q31_t const *pSrcVecPtr = pSrcVec;
+ q63_t acc0, acc1;
+ q31x4_t vecMatA0, vecMatA1, vecIn;
+
+ /*
+ * For every row wise process, the pInVec pointer is set
+ * to the starting address of the vector
+ */
+ pVec = pSrcVec;
+
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+ pMat1 = pMat0 + numCols;
+
+ acc0 = 0LL;
+ acc1 = 0LL;
+
+ pMat0Vec = pMat0;
+ pMat1Vec = pMat1;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 4;
+ vecMatA1 = vld1q(pMat1Vec);
+ pMat1Vec += 4;
+ vecIn = vld1q(pVec);
+ pVec += 4;
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecMatA1 = vld1q(pMat1Vec);
+ vecIn = vldrwq_z_s32(pVec, p0);
+
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmlaldavaq(acc1, vecIn, vecMatA1);
+ }
+
+ *px++ = asrl(acc0, 31);
+ *px++ = asrl(acc1, 31);
+
+ pMatSrc += numCols * 2;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 2;
+ }
+
+ if (row >= 1)
+ {
+ q31_t const *pMat0Vec, *pVec;
+ q31_t const *pSrcVecPtr = pSrcVec;
+ q63_t acc0;
+ q31x4_t vecMatA0, vecIn;
+
+ /*
+ * For every row wise process, the pInVec pointer is set
+ * to the starting address of the vector
+ */
+ pVec = pSrcVec;
+
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+
+ acc0 = 0LL;
+
+ pMat0Vec = pMat0;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 2;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 4;
+ vecIn = vld1q(pVec);
+ pVec += 4;
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 3;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp32q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecIn = vldrwq_z_s32(pVec, p0);
+ acc0 = vmlaldavaq(acc0, vecIn, vecMatA0);
+ }
+
+ *px++ = asrl(acc0, 31);
+ }
+}
+#else
+void arm_mat_vec_mult_q31(const arm_matrix_instance_q31 *pSrcMat, const q31_t *pVec, q31_t *pDst)
+{
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ const q31_t *pSrcA = pSrcMat->pData;
+ const q31_t *pInA1; /* input data matrix pointer A of Q31 type */
+ const q31_t *pInA2; /* input data matrix pointer A of Q31 type */
+ const q31_t *pInA3; /* input data matrix pointer A of Q31 type */
+ const q31_t *pInA4; /* input data matrix pointer A of Q31 type */
+ const q31_t *pInVec; /* input data matrix pointer B of Q31 type */
+ q31_t *px; /* Temporary output data matrix pointer */
+ uint16_t i, row, colCnt; /* loop counters */
+ q31_t matData, matData2, vecData, vecData2;
+
+
+ /* Process 4 rows at a time */
+ row = numRows >> 2;
+ i = 0u;
+ px = pDst;
+
+ /* The following loop performs the dot-product of each row in pSrcA with the vector */
+ /* row loop */
+ while (row > 0) {
+ /* Initialize accumulators */
+ q63_t sum1 = 0;
+ q63_t sum2 = 0;
+ q63_t sum3 = 0;
+ q63_t sum4 = 0;
+
+ /* For every row wise process, the pInVec pointer is set
+ ** to the starting address of the vector */
+ pInVec = pVec;
+
+ /* Loop unrolling: process 2 columns per iteration */
+ colCnt = numCols;
+
+ /* Initialize pointers to the starting address of the column being processed */
+ pInA1 = pSrcA + i;
+ pInA2 = pInA1 + numCols;
+ pInA3 = pInA2 + numCols;
+ pInA4 = pInA3 + numCols;
+
+
+ // Main loop: matrix-vector multiplication
+ while (colCnt > 0u) {
+ // Read 2 values from vector
+ vecData = *(pInVec)++;
+
+ // Read 8 values from the matrix - 2 values from each of 4 rows, and do multiply accumulate
+ matData = *(pInA1)++;
+ sum1 += (q63_t)matData * vecData;
+ matData = *(pInA2)++;
+ sum2 += (q63_t)matData * vecData;
+ matData = *(pInA3)++;
+ sum3 += (q63_t)matData * vecData;
+ matData = *(pInA4)++;
+ sum4 += (q63_t)matData * vecData;
+
+ // Decrement the loop counter
+ colCnt--;
+ }
+
+ /* Saturate and store the result in the destination buffer */
+ *px++ = (q31_t)(sum1 >> 31);
+ *px++ = (q31_t)(sum2 >> 31);
+ *px++ = (q31_t)(sum3 >> 31);
+ *px++ = (q31_t)(sum4 >> 31);
+
+ i = i + numCols * 4;
+
+ /* Decrement the row loop counter */
+ row--;
+ }
+
+ /* process any remaining rows */
+ row = numRows & 3u;
+ while (row > 0) {
+
+ q63_t sum = 0;
+ pInVec = pVec;
+ pInA1 = pSrcA + i;
+
+ colCnt = numCols >> 1;
+
+ while (colCnt > 0) {
+ vecData = *(pInVec)++;
+ vecData2 = *(pInVec)++;
+ matData = *(pInA1)++;
+ matData2 = *(pInA1)++;
+ sum += (q63_t)matData * vecData;
+ sum += (q63_t)matData2 * vecData2;
+ colCnt--;
+ }
+
+ // process remainder of row
+ colCnt = numCols & 1u;
+ while (colCnt > 0) {
+ sum += (q63_t)*pInA1++ * *pInVec++;
+ colCnt--;
+ }
+
+ *px++ = (q31_t)(sum >> 31);
+ i = i + numCols;
+ row--;
+ }
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q7.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q7.c
new file mode 100644
index 00000000..e7c72816
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_vec_mult_q7.c
@@ -0,0 +1,420 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_vec_mult_q7.c
+ * Description: Q7 matrix and vector multiplication
+ *
+ * $Date: 23 April 2021
+ *
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/matrix_functions.h"
+
+/**
+ * @ingroup groupMatrix
+ */
+
+
+
+/**
+ * @addtogroup MatrixVectMult
+ * @{
+ */
+
+/**
+ * @brief Q7 matrix and vector multiplication.
+ * @param[in] *pSrcMat points to the input matrix structure
+ * @param[in] *pVec points to the input vector
+ * @param[out] *pDst points to the output vector
+ */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_helium_utils.h"
+
+void arm_mat_vec_mult_q7(
+ const arm_matrix_instance_q7 * pSrcMat,
+ const q7_t *pSrcVec,
+ q7_t *pDstVec)
+{
+ const q7_t *pMatSrc = pSrcMat->pData;
+ const q7_t *pMat0, *pMat1;
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ q7_t *px;
+ int32_t row;
+ uint16_t blkCnt; /* loop counters */
+
+ row = numRows;
+ px = pDstVec;
+
+ /*
+ * compute 4x64-bit accumulators per loop
+ */
+ while (row >= 4)
+ {
+ q7_t const *pMat0Vec, *pMat1Vec, *pMat2Vec, *pMat3Vec, *pVec;
+ const q7_t *pMat2, *pMat3;
+ q7_t const *pSrcVecPtr = pSrcVec;
+ q31_t acc0, acc1, acc2, acc3;
+ q7x16_t vecMatA0, vecMatA1, vecMatA2, vecMatA3, vecIn;
+
+ pVec = pSrcVec;
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+ pMat1 = pMat0 + numCols;
+ pMat2 = pMat1 + numCols;
+ pMat3 = pMat2 + numCols;
+
+ acc0 = 0L;
+ acc1 = 0L;
+ acc2 = 0L;
+ acc3 = 0L;
+
+ pMat0Vec = pMat0;
+ pMat1Vec = pMat1;
+ pMat2Vec = pMat2;
+ pMat3Vec = pMat3;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 4;
+ while (blkCnt > 0U)
+ {
+
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 16;
+ vecMatA1 = vld1q(pMat1Vec);
+ pMat1Vec += 16;
+ vecMatA2 = vld1q(pMat2Vec);
+ pMat2Vec += 16;
+ vecMatA3 = vld1q(pMat3Vec);
+ pMat3Vec += 16;
+ vecIn = vld1q(pVec);
+ pVec += 16;
+
+ acc0 = vmladavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmladavaq(acc1, vecIn, vecMatA1);
+ acc2 = vmladavaq(acc2, vecIn, vecMatA2);
+ acc3 = vmladavaq(acc3, vecIn, vecMatA3);
+
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecMatA1 = vld1q(pMat1Vec);
+ vecMatA2 = vld1q(pMat2Vec);
+ vecMatA3 = vld1q(pMat3Vec);
+ vecIn = vldrbq_z_s8(pVec, p0);
+
+ acc0 = vmladavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmladavaq(acc1, vecIn, vecMatA1);
+ acc2 = vmladavaq(acc2, vecIn, vecMatA2);
+ acc3 = vmladavaq(acc3, vecIn, vecMatA3);
+ }
+
+ *px++ = __SSAT(acc0 >> 7, 8);
+ *px++ = __SSAT(acc1 >> 7, 8);
+ *px++ = __SSAT(acc2 >> 7, 8);
+ *px++ = __SSAT(acc3 >> 7, 8);
+
+ pMatSrc += numCols * 4;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 4;
+ }
+
+ /*
+ * process any remaining rows pair
+ */
+ if (row >= 2)
+ {
+ q7_t const *pMat0Vec, *pMat1Vec, *pVec;
+ q7_t const *pSrcVecPtr = pSrcVec;
+ q31_t acc0, acc1;
+ q7x16_t vecMatA0, vecMatA1, vecIn;
+
+ /*
+ * For every row wise process, the pInVec pointer is set
+ * to the starting address of the vector
+ */
+ pVec = pSrcVec;
+
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+ pMat1 = pMat0 + numCols;
+
+ acc0 = 0;
+ acc1 = 0;
+
+ pMat0Vec = pMat0;
+ pMat1Vec = pMat1;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 4;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 16;
+ vecMatA1 = vld1q(pMat1Vec);
+ pMat1Vec += 16;
+ vecIn = vld1q(pVec);
+ pVec += 16;
+
+ acc0 = vmladavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmladavaq(acc1, vecIn, vecMatA1);
+
+ blkCnt--;
+ }
+
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecMatA1 = vld1q(pMat1Vec);
+ vecIn = vldrbq_z_s8(pVec, p0);
+
+ acc0 = vmladavaq(acc0, vecIn, vecMatA0);
+ acc1 = vmladavaq(acc1, vecIn, vecMatA1);
+ }
+
+ *px++ = __SSAT(acc0 >> 7, 8);
+ *px++ = __SSAT(acc1 >> 7, 8);
+
+ pMatSrc += numCols * 2;
+ /*
+ * Decrement the row loop counter
+ */
+ row -= 2;
+ }
+
+ if (row >= 1)
+ {
+ q7_t const *pMat0Vec, *pVec;
+ q7_t const *pSrcVecPtr = pSrcVec;
+ q31_t acc0;
+ q7x16_t vecMatA0, vecIn;
+
+ /*
+ * For every row wise process, the pInVec pointer is set
+ * to the starting address of the vector
+ */
+ pVec = pSrcVec;
+
+ /*
+ * Initialize the pointer pIn1 to point to the starting address of the column being processed
+ */
+ pMat0 = pMatSrc;
+
+ acc0 = 0LL;
+
+ pMat0Vec = pMat0;
+ pVec = pSrcVecPtr;
+
+ blkCnt = numCols >> 4;
+ while (blkCnt > 0U)
+ {
+ vecMatA0 = vld1q(pMat0Vec);
+ pMat0Vec += 16;
+ vecIn = vld1q(pVec);
+ pVec += 16;
+
+ acc0 = vmladavaq(acc0, vecIn, vecMatA0);
+ blkCnt--;
+ }
+ /*
+ * tail
+ * (will be merged thru tail predication)
+ */
+ blkCnt = numCols & 0xF;
+ if (blkCnt > 0U)
+ {
+ mve_pred16_t p0 = vctp8q(blkCnt);
+
+ vecMatA0 = vld1q(pMat0Vec);
+ vecIn = vldrbq_z_s8(pVec, p0);
+ acc0 = vmladavaq(acc0, vecIn, vecMatA0);
+ }
+ *px++ = __SSAT(acc0 >> 7, 8);
+ }
+}
+
+#else
+void arm_mat_vec_mult_q7(const arm_matrix_instance_q7 *pSrcMat, const q7_t *pVec, q7_t *pDst)
+{
+ uint32_t numRows = pSrcMat->numRows;
+ uint32_t numCols = pSrcMat->numCols;
+ const q7_t *pSrcA = pSrcMat->pData;
+ const q7_t *pInA1; /* input data matrix pointer of Q7 type */
+ const q7_t *pInA2; /* input data matrix pointer of Q7 type */
+ const q7_t *pInA3; /* input data matrix pointer of Q7 type */
+ const q7_t *pInA4; /* input data matrix pointer of Q7 type */
+ const q7_t *pInVec; /* input data vector pointer of Q7 type */
+ q7_t *px; /* output data pointer */
+ uint32_t i, row, colCnt; /* loop counters */
+
+ q31_t matData, matData2, vecData, vecData2;
+
+
+ /* Process 4 rows at a time */
+ row = numRows >> 2;
+ i = 0u;
+ px = pDst;
+
+
+
+ /* The following loop performs the dot-product of each row in pSrcA with the vector */
+ while (row > 0) {
+ /* Initialize accumulators */
+ q31_t sum1 = 0;
+ q31_t sum2 = 0;
+ q31_t sum3 = 0;
+ q31_t sum4 = 0;
+
+ /* For every row wise process, the pInVec pointer is set
+ ** to the starting address of the vector */
+ pInVec = pVec;
+
+ /* Loop unrolling: process 4 columns per iteration */
+ colCnt = numCols >> 2;
+
+ /* Initialize row pointers so we can track 4 rows at once */
+ pInA1 = pSrcA + i;
+ pInA2 = pInA1 + numCols;
+ pInA3 = pInA2 + numCols;
+ pInA4 = pInA3 + numCols;
+
+
+ // Inner loop: matrix-vector multiplication
+
+ while (colCnt > 0u) {
+ // Read 4 values from vector
+ vecData = read_q7x4_ia (&pInVec);
+ vecData2 = __SXTB16(__ROR(vecData, 8));
+ vecData = __SXTB16(vecData);
+ // Read 16 values from the matrix - 4 values from each of 4 rows, and do multiply accumulate
+ matData = read_q7x4_ia (&pInA1);
+ matData2 = __SXTB16(__ROR(matData, 8));
+ matData = __SXTB16(matData);
+ sum1 = __SMLAD(matData, vecData, sum1);
+ sum1 = __SMLAD(matData2, vecData2, sum1);
+ matData = read_q7x4_ia (&pInA2);
+ matData2 = __SXTB16(__ROR(matData, 8));
+ matData = __SXTB16(matData);
+ sum2 = __SMLAD(matData, vecData, sum2);
+ sum2 = __SMLAD(matData2, vecData2, sum2);
+ matData = read_q7x4_ia (&pInA3);
+ matData2 = __SXTB16(__ROR(matData, 8));
+ matData = __SXTB16(matData);
+ sum3 = __SMLAD(matData, vecData, sum3);
+ sum3 = __SMLAD(matData2, vecData2, sum3);
+ matData = read_q7x4_ia (&pInA4);
+ matData2 = __SXTB16(__ROR(matData, 8));
+ matData = __SXTB16(matData);
+ sum4 = __SMLAD(matData, vecData, sum4);
+ sum4 = __SMLAD(matData2, vecData2, sum4);
+
+ // Decrement the loop counter
+ colCnt--;
+ }
+
+ /* process any remaining columns */
+
+ colCnt = numCols & 3u;
+
+ while (colCnt > 0) {
+ vecData = *pInVec++;
+ sum1 += *pInA1++ * vecData;
+ sum2 += *pInA2++ * vecData;
+ sum3 += *pInA3++ * vecData;
+ sum4 += *pInA4++ * vecData;
+ colCnt--;
+ }
+
+ /* Saturate and store the result in the destination buffer */
+ *px++ = (q7_t)(__SSAT((sum1 >> 7), 8));
+ *px++ = (q7_t)(__SSAT((sum2 >> 7), 8));
+ *px++ = (q7_t)(__SSAT((sum3 >> 7), 8));
+ *px++ = (q7_t)(__SSAT((sum4 >> 7), 8));
+
+ i = i + numCols * 4;
+
+ /* Decrement the row loop counter */
+ row--;
+ }
+
+ /* process any remaining rows */
+ row = numRows & 3u;
+ while (row > 0) {
+
+ q31_t sum = 0;
+ pInVec = pVec;
+ pInA1 = pSrcA + i;
+
+ // loop unrolling - process 4 elements at a time
+ colCnt = numCols >> 2;
+
+ while (colCnt > 0) {
+ vecData = read_q7x4_ia (&pInVec);
+ vecData2 = __SXTB16(__ROR(vecData, 8));
+ vecData = __SXTB16(vecData);
+ matData = read_q7x4_ia (&pInA1);
+ matData2 = __SXTB16(__ROR(matData, 8));
+ matData = __SXTB16(matData);
+ sum = __SMLAD(matData, vecData, sum);
+ sum = __SMLAD(matData2, vecData2, sum);
+ colCnt--;
+ }
+
+ // process remainder of row
+ colCnt = numCols & 3u;
+ while (colCnt > 0) {
+ sum += *pInA1++ * *pInVec++;
+ colCnt--;
+ }
+ *px++ = (q7_t)(__SSAT((sum >> 7), 8));
+ i = i + numCols;
+ row--;
+ }
+}
+#endif /* defined(ARM_MATH_MVEI) */
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/CMakeLists.txt b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/CMakeLists.txt
new file mode 100644
index 00000000..267626f5
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/CMakeLists.txt
@@ -0,0 +1,31 @@
+cmake_minimum_required (VERSION 3.14)
+
+project(CMSISDSPQuaternionMath)
+
+include(configLib)
+include(configDsp)
+
+
+
+add_library(CMSISDSPQuaternionMath STATIC arm_quaternion_norm_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_inverse_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_conjugate_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_normalize_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_product_single_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion_product_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_quaternion2rotation_f32.c)
+target_sources(CMSISDSPQuaternionMath PRIVATE arm_rotation2quaternion_f32.c)
+
+
+if ((NOT ARMAC5) AND (NOT DISABLEFLOAT16))
+endif()
+
+
+configLib(CMSISDSPQuaternionMath ${ROOT})
+configDsp(CMSISDSPQuaternionMath ${ROOT})
+
+### Includes
+target_include_directories(CMSISDSPQuaternionMath PUBLIC "${DSP}/Include")
+
+
+
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/QuaternionMathFunctions.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/QuaternionMathFunctions.c
new file mode 100644
index 00000000..7c48178e
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/QuaternionMathFunctions.c
@@ -0,0 +1,34 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: QuaternionMathFunctions.c
+ * Description: Combination of all quaternion math function source files.
+ *
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_quaternion_norm_f32.c"
+#include "arm_quaternion_inverse_f32.c"
+#include "arm_quaternion_conjugate_f32.c"
+#include "arm_quaternion_normalize_f32.c"
+#include "arm_quaternion_product_single_f32.c"
+#include "arm_quaternion_product_f32.c"
+#include "arm_quaternion2rotation_f32.c"
+#include "arm_rotation2quaternion_f32.c"
diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion2rotation_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion2rotation_f32.c
new file mode 100644
index 00000000..21053415
--- /dev/null
+++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion2rotation_f32.c
@@ -0,0 +1,181 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_quaternion2rotation_f32.c
+ * Description: Floating-point quaternion 2 rotation conversion
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/quaternion_math_functions.h"
+#include + a^2 + b^2 - c^2 - d^2 2bc - 2ad 2bd + 2ac + 2bc + 2ad a^2 - b^2 + c^2 - d^2 2cd - 2ab + 2bd - 2ac 2cd + 2ab a^2 - b^2 - c^2 + d^2 ++ Rotation matrix is saved in row order : R00 R01 R02 R10 R11 R12 R20 R21 R22 + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions, + float32_t *pOutputRotations, + uint32_t nbQuaternions) +{ + f32x4_t vec0,vec1, vec2 ,vec3; + float32_t q2q3, tmp1, tmp2 ; + + for(uint32_t nb=0; nb < nbQuaternions; nb++) + { + + // q0 q1 q2 q3 + vec0 = vld1q(pInputQuaternions); + + // q0^2 q1^2 q2^2 q3^2 + vec1 = vmulq(vec0,vec0); + + // q0^2 q1q0 q2q0 q3q0 + vec2 = vmulq_n_f32(vec0, vgetq_lane(vec0,0)); + + // 2 (q0^2 q1q0 q2q0 q3q0) + vec2 = vmulq_n_f32(vec2, 2.0f); + + + // 2 q2q3 + q2q3 = vgetq_lane(vec0,2) * vgetq_lane(vec0,3); + q2q3 = q2q3 * 2.0f; + + // 2 (q0q1 q1^2 q2q1 q3q1) + vec3 = vmulq_n_f32(vec0, vgetq_lane(vec0,1)); + vec3 = vmulq_n_f32(vec3, 2.0f); + + + + vec0 = vsetq_lane(vgetq_lane(vec1,0) + vgetq_lane(vec1,1),vec0,0); + vec0 = vsetq_lane(vgetq_lane(vec0,0) - vgetq_lane(vec1,2),vec0,0); + vec0 = vsetq_lane(vgetq_lane(vec0,0) - vgetq_lane(vec1,3),vec0,0); + vec0 = vsetq_lane(vgetq_lane(vec3,2) - vgetq_lane(vec2,3),vec0,1); + vec0 = vsetq_lane(vgetq_lane(vec3,3) + vgetq_lane(vec2,2),vec0,2); + vec0 = vsetq_lane(vgetq_lane(vec3,2) + vgetq_lane(vec2,3),vec0,3); + + vst1q(pOutputRotations, vec0); + pOutputRotations += 4; + + tmp1 = vgetq_lane(vec1,0) - vgetq_lane(vec1,1); + tmp2 = vgetq_lane(vec1,2) - vgetq_lane(vec1,3); + + + vec0 = vsetq_lane(tmp1 + tmp2,vec0,0); + vec0 = vsetq_lane(q2q3 - vgetq_lane(vec2,1) ,vec0,1); + vec0 = vsetq_lane(vgetq_lane(vec3,3) - vgetq_lane(vec2,2),vec0,2); + vec0 = vsetq_lane(q2q3 + vgetq_lane(vec2,1) ,vec0,3); + + vst1q(pOutputRotations, vec0); + pOutputRotations += 4; + + *pOutputRotations = tmp1 - tmp2; + pOutputRotations ++; + + pInputQuaternions += 4; + } +} + +#else +void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions, + float32_t *pOutputRotations, + uint32_t nbQuaternions) +{ + uint32_t nb; + for(nb=0; nb < nbQuaternions; nb++) + { + float32_t q00 = SQ(pInputQuaternions[0 + nb * 4]); + float32_t q11 = SQ(pInputQuaternions[1 + nb * 4]); + float32_t q22 = SQ(pInputQuaternions[2 + nb * 4]); + float32_t q33 = SQ(pInputQuaternions[3 + nb * 4]); + float32_t q01 = pInputQuaternions[0 + nb * 4]*pInputQuaternions[1 + nb * 4]; + float32_t q02 = pInputQuaternions[0 + nb * 4]*pInputQuaternions[2 + nb * 4]; + float32_t q03 = pInputQuaternions[0 + nb * 4]*pInputQuaternions[3 + nb * 4]; + float32_t q12 = pInputQuaternions[1 + nb * 4]*pInputQuaternions[2 + nb * 4]; + float32_t q13 = pInputQuaternions[1 + nb * 4]*pInputQuaternions[3 + nb * 4]; + float32_t q23 = pInputQuaternions[2 + nb * 4]*pInputQuaternions[3 + nb * 4]; + + float32_t xx = q00 + q11 - q22 - q33; + float32_t yy = q00 - q11 + q22 - q33; + float32_t zz = q00 - q11 - q22 + q33; + float32_t xy = 2*(q12 - q03); + float32_t xz = 2*(q13 + q02); + float32_t yx = 2*(q12 + q03); + float32_t yz = 2*(q23 - q01); + float32_t zx = 2*(q13 - q02); + float32_t zy = 2*(q23 + q01); + + pOutputRotations[0 + nb * 9] = xx; pOutputRotations[1 + nb * 9] = xy; pOutputRotations[2 + nb * 9] = xz; + pOutputRotations[3 + nb * 9] = yx; pOutputRotations[4 + nb * 9] = yy; pOutputRotations[5 + nb * 9] = yz; + pOutputRotations[6 + nb * 9] = zx; pOutputRotations[7 + nb * 9] = zy; pOutputRotations[8 + nb * 9] = zz; + } +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of QuatRot group + */ diff --git a/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_conjugate_f32.c b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_conjugate_f32.c new file mode 100644 index 00000000..213a5bbc --- /dev/null +++ b/benchmark/interface/Drivers/CMSIS/DSP/Source/QuaternionMathFunctions/arm_quaternion_conjugate_f32.c @@ -0,0 +1,98 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_quaternion_conjugate_f32.c + * Description: Floating-point quaternion conjugate + * + * $Date: 23 April 2021 + * $Revision: V1.9.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "dsp/quaternion_math_functions.h" +#include