diff --git a/examples/validation_suite/V3calc.py b/examples/validation_suite/V3calc.py new file mode 100644 index 0000000..ba3648e --- /dev/null +++ b/examples/validation_suite/V3calc.py @@ -0,0 +1,289 @@ +from __future__ import print_function +import numpy as np + +def so_V3_LA_bands(): + ## returns the band centers in GHz for a CMB spectrum + ## if your studies require color corrections ask and we can estimates these for you + return(np.array([27,39,93,145,225,280])) + +def so_V3_LA_beams(): + ## returns the LAC beams in arcminutes + beam_LAC_27 = 7.4 + beam_LAC_39 = 5.1 + beam_LAC_93 = 2.2 + beam_LAC_145 = 1.4 + beam_LAC_225 =1.0 + beam_LAC_280 = 0.9 + return(np.array([beam_LAC_27,beam_LAC_39,beam_LAC_93,beam_LAC_145,beam_LAC_225,beam_LAC_280])) + +def so_V3_LA_noise(sensitivity_mode,f_sky,ell_max,delta_ell=1,beam_corrected=False): + ## retuns noise curves, including the impact of the beam for the SO large aperature telescopes + # sensitivity_mode + # 0: threshold, + # 1: baseline, + # 2: goal + # f_sky: number from 0-1 + # ell_max: the maximum value of ell used in the compuatioan of N(ell) + # delta_ell: the step size for computing N_ell + #################################################################### + #################################################################### + ### Internal variables + ## LARGE APERATURE + # configuraiton + NTubes_LF = 1. + NTubes_MF = 4. + NTubes_UHF = 2. + # sensitivity + S_LA_27 = np.array([61,48,35]) * np.sqrt(1./NTubes_LF) ## converting these to per tube sensitivities + S_LA_39 = np.array([30,24,18]) * np.sqrt(1./NTubes_LF) + S_LA_93 = np.array([6.5,5.4,3.9]) * np.sqrt(4./NTubes_MF) + S_LA_145 = np.array([8.1,6.7,4.2]) * np.sqrt(4./NTubes_MF) + S_LA_225 = np.array([17,15,10]) * np.sqrt(2./NTubes_UHF) + S_LA_280 = np.array([42,36,25]) * np.sqrt(2./NTubes_UHF) + # 1/f pol: see http://simonsobservatory.wikidot.com/review-of-hwp-large-aperture-2017-10-04 + f_knee_pol_LA_27 = 700. + f_knee_pol_LA_39 = 700. + f_knee_pol_LA_93 = 700. + f_knee_pol_LA_145 = 700. + f_knee_pol_LA_225 = 700. + f_knee_pol_LA_280 = 700. + alpha_pol =-1.4 + # atmospheric 1/f temp from matthew's model + C_27 = 200. + C_39 = 7.7 + C_93 = 1800. + C_145 = 12000. + C_225 = 68000. + C_280 =124000. + alpha_temp = -3.5 + + #################################################################### + ## calculate the survey area and time + t = 5* 365. * 24. * 3600 ## five years in seconds + t = t * 0.2 ## retention after observing efficiency and cuts + t = t* 0.85 ## a kluge for the noise non-uniformity of the map edges + A_SR = 4 * np.pi * f_sky ## sky areas in Steridians + A_deg = A_SR * (180/np.pi)**2 ## sky area in square degrees + A_arcmin = A_deg * 3600. + #print("sky area: ", A_deg, "degrees^2") + + #################################################################### + ## make the ell array for the output noise curves + ell = np.arange(2,ell_max,delta_ell) + + #################################################################### + ### CALCULATE N(ell) for Temperature + ## calculate the experimental weight + W_T_27 = S_LA_27[sensitivity_mode] / np.sqrt(t) + W_T_39 = S_LA_39[sensitivity_mode] / np.sqrt(t) + W_T_93 = S_LA_93[sensitivity_mode] / np.sqrt(t) + W_T_145 = S_LA_145[sensitivity_mode] / np.sqrt(t) + W_T_225 = S_LA_225[sensitivity_mode] / np.sqrt(t) + W_T_280 = S_LA_280[sensitivity_mode] / np.sqrt(t) + + ## calculate the map noise level (white) for the survey in uK_arcmin for temperature + MN_T_27 = W_T_27 * np.sqrt(A_arcmin) + MN_T_39 = W_T_39 * np.sqrt(A_arcmin) + MN_T_93 = W_T_93 * np.sqrt(A_arcmin) + MN_T_145 = W_T_145 * np.sqrt(A_arcmin) + MN_T_225 = W_T_225 * np.sqrt(A_arcmin) + MN_T_280 = W_T_280 * np.sqrt(A_arcmin) + Map_white_noise_levels= np.array([MN_T_27,MN_T_39,MN_T_93,MN_T_145,MN_T_225,MN_T_280]) + #print("white noise level: ",Map_white_noise_levels ,"[uK-arcmin]") + + ## calculate the astmospheric contribution for T (based on Matthews model) + ell_pivot = 1000. + AN_T_27 = C_27 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_LF) + AN_T_39 = C_39 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_LF) + AN_T_93 = C_93 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_MF) + AN_T_145 = C_145 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_MF) + AN_T_225 = C_225 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_UHF) + AN_T_280 = C_280 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_UHF) + + ## calculate N(ell) + N_ell_T_27 = W_T_27**2. * A_SR + AN_T_27 + N_ell_T_39 = W_T_39**2. * A_SR + AN_T_39 + N_ell_T_93 = W_T_93**2. * A_SR + AN_T_93 + N_ell_T_145 = W_T_145**2.* A_SR + AN_T_145 + N_ell_T_225 = W_T_225**2.* A_SR + AN_T_225 + N_ell_T_280 = W_T_280**2.* A_SR + AN_T_280 + + ## include the imapct of the beam + LA_beams = so_V3_LA_beams() / np.sqrt(8. * np.log(2)) /60. * np.pi/180. + ## lac beams as a sigma expressed in radians + if beam_corrected : + N_ell_T_27 *= np.exp( ell*(ell+1)* LA_beams[0]**2 ) + N_ell_T_39 *= np.exp( ell*(ell+1)* LA_beams[1]**2 ) + N_ell_T_93 *= np.exp( ell*(ell+1)* LA_beams[2]**2 ) + N_ell_T_145 *= np.exp( ell*(ell+1)* LA_beams[3]**2 ) + N_ell_T_225 *= np.exp( ell*(ell+1)* LA_beams[4]**2 ) + N_ell_T_280 *= np.exp( ell*(ell+1)* LA_beams[5]**2 ) + + ## make an array of nosie curves for T + N_ell_T_LA = np.array([N_ell_T_27,N_ell_T_39,N_ell_T_93,N_ell_T_145,N_ell_T_225,N_ell_T_280]) + + #################################################################### + ### CALCULATE N(ell) for Polarization + ## calculate the astmospheric contribution for P + AN_P_27 = (ell / f_knee_pol_LA_27 )**alpha_pol + 1. + AN_P_39 = (ell / f_knee_pol_LA_39 )**alpha_pol + 1. + AN_P_93 = (ell / f_knee_pol_LA_93 )**alpha_pol + 1. + AN_P_145 = (ell / f_knee_pol_LA_145)**alpha_pol + 1. + AN_P_225 = (ell / f_knee_pol_LA_225)**alpha_pol + 1. + AN_P_280 = (ell / f_knee_pol_LA_280)**alpha_pol + 1. + + ## calculate N(ell) + N_ell_P_27 = (W_T_27 * np.sqrt(2))**2.* A_SR * AN_P_27 + N_ell_P_39 = (W_T_39 * np.sqrt(2))**2.* A_SR * AN_P_39 + N_ell_P_93 = (W_T_93 * np.sqrt(2))**2.* A_SR * AN_P_93 + N_ell_P_145 = (W_T_145 * np.sqrt(2))**2.* A_SR * AN_P_145 + N_ell_P_225 = (W_T_225 * np.sqrt(2))**2.* A_SR * AN_P_225 + N_ell_P_280 = (W_T_280 * np.sqrt(2))**2.* A_SR * AN_P_280 + + ## include the imapct of the beam + if beam_corrected : + N_ell_P_27 *= np.exp( ell*(ell+1)* LA_beams[0]**2 ) + N_ell_P_39 *= np.exp( ell*(ell+1)* LA_beams[1]**2 ) + N_ell_P_93 *= np.exp( ell*(ell+1)* LA_beams[2]**2 ) + N_ell_P_145 *= np.exp( ell*(ell+1)* LA_beams[3]**2 ) + N_ell_P_225 *= np.exp( ell*(ell+1)* LA_beams[4]**2 ) + N_ell_P_280 *= np.exp( ell*(ell+1)* LA_beams[5]**2 ) + + ## make an array of nosie curves for T + N_ell_P_LA = np.array([N_ell_P_27,N_ell_P_39,N_ell_P_93,N_ell_P_145,N_ell_P_225,N_ell_P_280]) + + #################################################################### + return(ell, N_ell_T_LA,N_ell_P_LA,Map_white_noise_levels) + +def so_V3_SA_bands(): + ## returns the band centers in GHz for a CMB spectrum + ## if your studies require color corrections ask and we can estimates these for you + return(np.array([27.,39.,93.,145.,225.,280.])) + +def so_V3_SA_beams(): + ## returns the LAC beams in arcminutes + beam_SAC_27 = 91. + beam_SAC_39 = 63. + beam_SAC_93 = 30. + beam_SAC_145 = 17. + beam_SAC_225 = 11. + beam_SAC_280 = 9. + return(np.array([beam_SAC_27,beam_SAC_39,beam_SAC_93,beam_SAC_145,beam_SAC_225,beam_SAC_280])) + +def so_V3_SA_noise(sensitivity_mode,one_over_f_mode,SAC_yrs_LF,f_sky,ell_max,delta_ell=1, + beam_corrected=False,remove_kluge=False): + ## retuns noise curves, including the impact of the beam for the SO small aperature telescopes + ## noise curves are polarization only + # sensitivity_mode + # 0: threshold, + # 1: baseline, + # 2: goal + # one_over_f_mode + # 0: pessimistic + # 1: optimistic + # 2: none + # SAC_yrs_LF: 0,1,2,3,4,5: number of years where an LF is deployed on SAC + # f_sky: number from 0-1 + # ell_max: the maximum value of ell used in the compuatioan of N(ell) + # delta_ell: the step size for computing N_ell + #################################################################### + #################################################################### + ### Internal variables + ## SMALL APERATURE + ## LARGE APERATURE + # configuraiton + if (SAC_yrs_LF > 0): + NTubes_LF = SAC_yrs_LF/5. + 1e-6 ## reguarlized in case zero years is called + NTubes_MF = 2 - SAC_yrs_LF/5. + else: + NTubes_LF = -SAC_yrs_LF/5. + 1e-6 ## reguarlized in case zero years is called + NTubes_MF = 2 + NTubes_UHF = 1. + # sensitivity + S_SA_27 = np.array([32,21,15]) * np.sqrt(1./NTubes_LF) + S_SA_39 = np.array([17,13,10]) * np.sqrt(1./NTubes_LF) + S_SA_93 = np.array([4.6,3.4,2.4]) * np.sqrt(2./(NTubes_MF)) + S_SA_145 = np.array([5.5,4.3,2.7]) * np.sqrt(2./(NTubes_MF)) + S_SA_225 = np.array([11,8.6,5.7]) * np.sqrt(1./NTubes_UHF) + S_SA_280 = np.array([26,22,14]) * np.sqrt(1./NTubes_UHF) + # 1/f pol: see http://simonsobservatory.wikidot.com/review-of-hwp-large-aperture-2017-10-04 + f_knee_pol_SA_27 = np.array([ 30.,15.,0.1]) + f_knee_pol_SA_39 = np.array([ 30.,15.,0.1]) ## from QUIET + f_knee_pol_SA_93 = np.array([ 50.,25.,0.1]) + f_knee_pol_SA_145 = np.array([ 50.,25.,0.1]) ## from ABS, improving possible by scanning faster + f_knee_pol_SA_225 = np.array([ 70.,35.,0.1]) + f_knee_pol_SA_280 = np.array([100.,40.,0.1]) + alpha_pol =np.array([-2.4,-2.4,-2.5,-3,-3,-3]) ## roughly consistent with Yuji's table, but ectrapolated + #alpha_pol =np.array([-2.4,-2.4,-2.4,-2.4,-2.4,-2.4]) ## roughly consistent with Yuji's table, but ectrapolated + + #################################################################### + ## calculate the survey area and time + t = 5* 365. * 24. * 3600 ## five years in seconds + t = t * 0.2 ## retention after observing efficiency and cuts + if remove_kluge==False : + t = t* 0.85 ## a kluge for the noise non-uniformity of the map edges + #print("when generating relizations from a hits map, the total integration time should be 1/0.85 longer") + #print("since we should remove a cluge for map non-uniformity since this is included correcly in a hits map") + A_SR = 4 * np.pi * f_sky ## sky areas in Steridians + A_deg = A_SR * (180/np.pi)**2 ## sky area in square degrees + A_arcmin = A_deg * 3600. + #print("sky area: ", A_deg, "degrees^2") + + #################################################################### + ## make the ell array for the output noise curves + ell = np.arange(2,ell_max,delta_ell) + + #################################################################### + ### CALCULATE N(ell) for Temperature + ## calculate the experimental weight + W_T_27 = S_SA_27[sensitivity_mode] / np.sqrt(t) + W_T_39 = S_SA_39[sensitivity_mode] / np.sqrt(t) + W_T_93 = S_SA_93[sensitivity_mode] / np.sqrt(t) + W_T_145 = S_SA_145[sensitivity_mode] / np.sqrt(t) + W_T_225 = S_SA_225[sensitivity_mode] / np.sqrt(t) + W_T_280 = S_SA_280[sensitivity_mode] / np.sqrt(t) + + ## calculate the map noise level (white) for the survey in uK_arcmin for temperature + MN_T_27 = W_T_27 * np.sqrt(A_arcmin) + MN_T_39 = W_T_39 * np.sqrt(A_arcmin) + MN_T_93 = W_T_93 * np.sqrt(A_arcmin) + MN_T_145 = W_T_145 * np.sqrt(A_arcmin) + MN_T_225 = W_T_225 * np.sqrt(A_arcmin) + MN_T_280 = W_T_280 * np.sqrt(A_arcmin) + Map_white_noise_levels = np.sqrt(2)*np.array([MN_T_27,MN_T_39,MN_T_93,MN_T_145,MN_T_225,MN_T_280]) + #print("white noise level: ",Map_white_noise_levels ,"[uK-arcmin]") + + #################################################################### + ### CALCULATE N(ell) for Polarization + ## calculate the astmospheric contribution for P + AN_P_27 = (ell / f_knee_pol_SA_27[one_over_f_mode] )**alpha_pol[0] + 1. + AN_P_39 = (ell / f_knee_pol_SA_39[one_over_f_mode] )**alpha_pol[1] + 1. + AN_P_93 = (ell / f_knee_pol_SA_93[one_over_f_mode] )**alpha_pol[2] + 1. + AN_P_145 = (ell / f_knee_pol_SA_145[one_over_f_mode])**alpha_pol[3] + 1. + AN_P_225 = (ell / f_knee_pol_SA_225[one_over_f_mode])**alpha_pol[4] + 1. + AN_P_280 = (ell / f_knee_pol_SA_280[one_over_f_mode])**alpha_pol[5] + 1. + + ## calculate N(ell) + N_ell_P_27 = (W_T_27 * np.sqrt(2))**2.* A_SR * AN_P_27 + N_ell_P_39 = (W_T_39 * np.sqrt(2))**2.* A_SR * AN_P_39 + N_ell_P_93 = (W_T_93 * np.sqrt(2))**2.* A_SR * AN_P_93 + N_ell_P_145 = (W_T_145 * np.sqrt(2))**2.* A_SR * AN_P_145 + N_ell_P_225 = (W_T_225 * np.sqrt(2))**2.* A_SR * AN_P_225 + N_ell_P_280 = (W_T_280 * np.sqrt(2))**2.* A_SR * AN_P_280 + + ## include the imapct of the beam + SA_beams = so_V3_SA_beams() / np.sqrt(8. * np.log(2)) /60. * np.pi/180. + ## lac beams as a sigma expressed in radians + if beam_corrected : + N_ell_P_27 *= np.exp( ell*(ell+1)* SA_beams[0]**2 ) + N_ell_P_39 *= np.exp( ell*(ell+1)* SA_beams[1]**2 ) + N_ell_P_93 *= np.exp( ell*(ell+1)* SA_beams[2]**2 ) + N_ell_P_145 *= np.exp( ell*(ell+1)* SA_beams[3]**2 ) + N_ell_P_225 *= np.exp( ell*(ell+1)* SA_beams[4]**2 ) + N_ell_P_280 *= np.exp( ell*(ell+1)* SA_beams[5]**2 ) + + ## make an array of nosie curves for T + N_ell_P_SA = np.array([N_ell_P_27,N_ell_P_39,N_ell_P_93,N_ell_P_145,N_ell_P_225,N_ell_P_280]) + + #################################################################### + return(ell,N_ell_P_SA,Map_white_noise_levels) diff --git a/examples/validation_suite/config.yml b/examples/validation_suite/config.yml new file mode 100644 index 0000000..c7404dc --- /dev/null +++ b/examples/validation_suite/config.yml @@ -0,0 +1,104 @@ +global: + nside: 64 + compute_dell: True + + +BBCompSep: + # Sampler type (choose 'emcee', 'polychord', 'maximum_likelihood', + # 'single_point' or 'timing') + sampler: 'fisher' + # If you chose polychord: + nlive: 50 + nrepeat: 50 + # If you chose emcee: + nwalkers: 24 + n_iters: 1000 + # Likelihood type (choose 'chi2' or 'h&l') + likelihood_type: 'chi2' + # What is the starting point? + r_init: 1.e-3 + # Which polarization channels do you want to include? + pol_channels: ['B'] + # Scale cuts (will apply to all frequencies) + l_min: 30 + l_max: 300 + + # CMB model + cmb_model: + # Template power spectrum. Should contained the lensed power spectra + # with r=0 and r=1 respectively. + cmb_templates: ["./examples/data/camb_lens_nobb.dat", + "./examples/data/camb_lens_r1.dat"] + # Free parameters + params: + # tensor-to-scalar ratio + # See below for the meaning of the different elements in the list. + r_tensor: ['r_tensor', 'tophat', [-0.1, 0.00, 0.1]] + # Lensing amplitude + A_lens: ['A_lens', 'tophat', [0.00, 1.0, 2.00]] + + # Foreground model + fg_model: + # Add one section per component. They should be called `component_X`, + # starting with X=1 + component_1: + # Name for this component + name: Dust + # Type of SED. Should be one of the classes stored in fgbuster.components + # https://github.com/fgbuster/fgbuster/blob/master/fgbuster/component_model.py + sed: Dust + # Type of power spectra for all possible polarization channel combinations. + # Any combinations not added here will be assumed to be zero. + # The names should be one of the classes in bbpower/fgcls.py + cl: + EE: ClPowerLaw + BB: ClPowerLaw + # Parameters of the SED + sed_parameters: + # The key can be anything you want, but each parameter in the model + # must have a different name. + # The first item in the list is the name of the parameter used by fgbuster + # The second item is the type of prior. The last item are the numbers + # necessary to define the prior. They should be: + # - Gaussian: [mean,sigma] + # - tophat: [lower edge, start value, upper edge] + # - fixed: [parameter value] + # nu0-type parameters can only be fixed. + beta_d: ['beta_d', 'Gaussian', [1.6, 0.11]] + temp_d: ['temp', 'fixed', [19.6]] + nu0_d: ['nu0', 'fixed', [353.]] + cl_parameters: + # Same for power spectrum parameters + # (broken down by polarization channel combinations) + EE: + amp_d_ee: ['amp', 'tophat', [0., 56., 100.]] + alpha_d_ee: ['alpha', 'tophat', [-1., -0.16, 0.]] + l0_d_ee: ['ell0', 'fixed', [80.]] + BB: + amp_d_bb: ['amp', 'tophat', [0., 28., 50.]] + alpha_d_bb: ['alpha', 'tophat', [-1., -0.16, 0.]] + l0_d_bb: ['ell0', 'fixed', [80.]] + # If this component should be correlated with any other, list them here + cross: + # In this case the list should contain: + # [component name, prior type, prior parameters] + epsilon_ds: ['component_2', 'tophat', [-1., 0., 1.]] + + component_2: + name: Synchrotron + sed: Synchrotron + cl: + EE: ClPowerLaw + BB: ClPowerLaw + sed_parameters: + beta_s: ['beta_pl', 'Gaussian', [-3.0, 0.3]] + nu0_s: ['nu0', 'fixed', [23.]] + cl_parameters: + EE: + amp_s_ee: ['amp', 'tophat', [0., 3.2, 8.]] + alpha_s_ee: ['alpha', 'tophat', [-1., -0.93, 0.]] + l0_s_ee: ['ell0', 'fixed', [80.]] + BB: + amp_s_bb: ['amp', 'tophat', [0., 1.6, 4.]] + alpha_s_bb: ['alpha', 'tophat', [-1., -0.93, 0.]] + l0_s_bb: ['ell0', 'fixed', [80.]] diff --git a/examples/validation_suite/data/camb_lens_nobb.dat b/examples/validation_suite/data/camb_lens_nobb.dat new file mode 100644 index 0000000..f119e45 --- /dev/null +++ b/examples/validation_suite/data/camb_lens_nobb.dat @@ -0,0 +1,1950 @@ + 1 0.0 0.0 0.0 0.0 + 2 0.12106E+04 0.53040E-01 0.16195E-05 0.34679E+01 + 3 0.11283E+04 0.86931E-01 0.32311E-05 0.43636E+01 + 4 0.10519E+04 0.97874E-01 0.53737E-05 0.44961E+01 + 5 0.99319E+03 0.86803E-01 0.80497E-05 0.41736E+01 + 6 0.95045E+03 0.63958E-01 0.11261E-04 0.36370E+01 + 7 0.92067E+03 0.40480E-01 0.15011E-04 0.30387E+01 + 8 0.90050E+03 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b/examples/validation_suite/data/mask_apodized.fits new file mode 100644 index 0000000..837d0e0 Binary files /dev/null and b/examples/validation_suite/data/mask_apodized.fits differ diff --git a/examples/validation_suite/data/norm_nHits_SA_35FOV.fits b/examples/validation_suite/data/norm_nHits_SA_35FOV.fits new file mode 100644 index 0000000..67e1741 Binary files /dev/null and b/examples/validation_suite/data/norm_nHits_SA_35FOV.fits differ diff --git a/examples/validation_suite/init.yml b/examples/validation_suite/init.yml new file mode 100644 index 0000000..6476be8 --- /dev/null +++ b/examples/validation_suite/init.yml @@ -0,0 +1,39 @@ +# Python modules that are imported to find +# stage classes. Any stages imported in these +# modules are automatically detected and their names can +# be used below +modules: bbpower + +# The launcher to use +# These are defined in bbpipe/sites +launcher: local + + +# The list of stages to run and the number of processors +# to use for each. +stages: + - name: BBCompSep + nprocess: 1 + +# Definitions of where to find inputs for the overall pipeline. +# Any input required by a pipeline stage that is not generated by +# a previous stage must be defined here. They are listed by tag. +inputs: + cells_coadded: ../sim_SAT_B2_inhomogeneous/sim1000_sacc.fits + cells_fiducial: ../sim_SAT_B2_inhomogeneous/sim1000_sacc.fits + cells_noise: ../sim_SAT_B2_inhomogeneous/sim1000_sacc.fits + +# Overall configuration file +config: ../config.yml + +# If all the outputs for a stage already exist then do not re-run that stage +resume: False + +# Put all the output files in this directory: +output_dir: ./test/test_out + +# Put the logs from the individual stages in this directory: +log_dir: ../ + +# Put the log for the overall pipeline infrastructure in this file: +pipeline_loge: ../ diff --git a/examples/validation_suite/simulator.py b/examples/validation_suite/simulator.py new file mode 100644 index 0000000..592ecdf --- /dev/null +++ b/examples/validation_suite/simulator.py @@ -0,0 +1,477 @@ +import numpy as np +import matplotlib.pyplot as plt +from V3calc import so_V3_SA_noise, so_V3_SA_bands, so_V3_SA_beams +import sacc +import healpy as hp +import pymaster as nmt +import os + + +def get_pairs(): + ix = 0 + for i1 in range(6): + for i2 in range(i1, 6): + yield i1, i2, ix + ix += 1 + + +def get_bandpower_windows(nls, delta_ell=10, is_dl=False): + """ Returns a binned-version of the power spectra. + """ + N_bins = (nls-2)//delta_ell + if is_dl: + ls = np.arange(nls) + w = ls*(ls+1)/(2*np.pi*delta_ell) + else: + w = np.ones(nls)/delta_ell + W = np.zeros([N_bins, nls]) + for i in range(N_bins): + w_h = w[2+i*delta_ell:2+(i+1)*delta_ell] + W[i, 2+i*delta_ell:2+(i+1)*delta_ell] = w_h + return W + + +def get_beams(config, inv=False): + nside = config['nside'] + ls = np.arange(3*nside) + b_fwhm_amin = so_V3_SA_beams() + b_sigma_rad = np.radians(b_fwhm_amin/(2.355*60)) + exponent = 0.5*(ls*(ls+1))[None, :]*(b_sigma_rad**2)[:, None] + if inv: + return np.exp(exponent) + else: + return np.exp(-exponent) + + +def get_noise(config, fsky, beamed=False): + noi_codes = {'baseline': 1, + 'goal': 2} + ooe_codes = {'pessimistic': 0, + 'optimistic': 1} + l, nl, _ = so_V3_SA_noise(noi_codes[config['noise_level']], + ooe_codes[config['ell_knee']], + config.get('SAT_years', 1), + fsky, 3*config['nside'], + beam_corrected=beamed, + remove_kluge=True) + nls = np.zeros([6, 3*config['nside']]) + nls[:, l] = nl + return nls + + +def fcmb(nu): + """ CMB SED (in antenna temperature units). + """ + x=0.017608676067552197*nu + ex=np.exp(x) + return ex*(x/(ex-1))**2 + + +def comp_sed(nu,nu0,beta,temp,typ): + """ Component SEDs (in antenna temperature units). + """ + if typ=='cmb': + return fcmb(nu) + elif typ=='dust': + x_to=0.04799244662211351*nu/temp + x_from=0.04799244662211351*nu0/temp + return (nu/nu0)**(1+beta)*(np.exp(x_from)-1)/(np.exp(x_to)-1) + elif typ=='sync': + return (nu/nu0)**beta + return None + + +def get_cls(config): + # Global + nside = config['nside'] + ls = np.arange(3*nside) + l0 = config.get('l0', 80.) + dl2cl = np.ones(len(ls)) + dl2cl[1:] = 2*np.pi/(ls[1:]*(ls[1:]+1.)) + cl2dl = (ls*(ls+1.))/(2*np.pi) + nu = so_V3_SA_bands() + + # CMB + Alens = config.get('Alens', 1.) + l,dtt,dee,dbb,dte=np.loadtxt("data/camb_lens_nobb.dat",unpack=True) + l = l.astype(int) + msk = l < 3*nside + l = l[msk] + dl_c_BB=np.zeros(len(ls)) + dl_c_BB[l]=Alens*dbb[msk] + dl_c_EE=np.zeros(len(ls)) + dl_c_EE[l]=dee[msk] + cl_c_BB = dl_c_BB*dl2cl + cl_c_EE = dl_c_EE*dl2cl + f_c = fcmb(nu) + + # Dust + beta_d = config['beta_d'] + temp_d = config['temp_d'] + A_d_B = config['A_d_B'] + A_d_E = config.get('A_d_E', 2*A_d_B) + alpha_d = config['alpha_d'] + nu0_d = config.get('nu0_d', 353.) + A_d_B *= fcmb(nu0_d)**2 + A_d_E *= fcmb(nu0_d)**2 + dl_d_BB = A_d_B * ((ls+0.1)/l0)**alpha_d + dl_d_EE = A_d_E * ((ls+0.1)/l0)**alpha_d + cl_d_BB = dl_d_BB*dl2cl + cl_d_EE = dl_d_EE*dl2cl + f_d = comp_sed(nu, nu0_d, beta_d, temp_d, 'dust') + + # Synchrotron + beta_s = config['beta_s'] + A_s_B = config['A_s_B'] + A_s_E = config.get('A_s_E', 2*A_s_B) + alpha_s = config['alpha_s'] + nu0_s = config.get('nu0_s', 23.) + A_s_B *= fcmb(nu0_s)**2 + A_s_E *= fcmb(nu0_s)**2 + dl_s_BB = A_s_B * ((ls+0.1)/l0)**alpha_s + dl_s_EE = A_s_E * ((ls+0.1)/l0)**alpha_s + cl_s_BB = dl_s_BB*dl2cl + cl_s_EE = dl_s_EE*dl2cl + f_s = comp_sed(nu, nu0_s, beta_s, None, 'sync') + + return {'l': ls, 'dl2cl': dl2cl, 'cl2dl': cl2dl, + 'CMB': {'EE': cl_c_EE, 'BB': cl_c_BB, + 'sed': f_c, 'sed_n': f_c/f_c}, + 'Dust': {'EE': cl_d_EE, 'BB': cl_d_BB, + 'sed': f_d, 'sed_n': f_d/f_c}, + 'Sync': {'EE': cl_s_EE, 'BB': cl_s_BB, + 'sed': f_s, 'sed_n': f_s/f_c}} + + +def get_sacc_theory(config, fsky): + nside = config['nside'] + ls = np.arange(3*nside) + nls = get_noise(config, fsky, beamed=True) + sky = get_cls(config) + delta_ell = 10 + W = get_bandpower_windows(3*nside, + delta_ell=delta_ell, + is_dl=True).T + l_bpw = np.dot(get_bandpower_windows(3*nside, + delta_ell=delta_ell), + ls) + sl_matrix = np.zeros([6, 6, 3*nside]) + for comp in ['CMB', 'Dust', 'Sync']: + d = sky[comp] + sl_matrix += d['BB'][None, None, :]*d['sed_n'][None, :, None]*d['sed_n'][:, None, None] + nl_matrix = np.zeros([6, 6, 3*nside]) + for i in range(6): + nl_matrix[i, i, :] = nls[i] + bpw_s = np.dot(sl_matrix, W) + bpw_c = np.dot(sl_matrix+nl_matrix, W) + + beams = get_beams(config) + nus = so_V3_SA_bands() + s = sacc.Sacc() + bpwf = sacc.BandpowerWindow(ls, W) + for i, nu in enumerate(nus): + s.add_tracer('NuMap', 'band%d' % i, + quantity='cmb_polarization', + spin=2, + nu=np.array([nu-1, nu, nu+1]), + bandpass=np.array([0., 1., 0.]), + ell=ls, beam=beams[i], + nu_unit='GHz', map_unit='uK_CMB') + + for i1, i2, ix in get_pairs(): + s.add_ell_cl('cl_bb', 'band%d'%i1, 'band%d'%i2, l_bpw, bpw_s[i1, i2], window=bpwf) + + nx = 6*7//2 + nbpw = len(l_bpw) + cov = np.zeros([nx, nbpw, nx, nbpw]) + nmodes = (2*l_bpw+1)*delta_ell*fsky + for i1, i2, ix in get_pairs(): + for j1, j2, jx in get_pairs(): + ci1j1 = bpw_c[i1, j1] + ci1j2 = bpw_c[i1, j2] + ci2j1 = bpw_c[i2, j1] + ci2j2 = bpw_c[i2, j2] + cov[ix, :, jx, :] = np.diag((ci1j1*ci2j2+ci1j2*ci2j1)/nmodes) + cov = cov.reshape([nx*nbpw, nx*nbpw]) + s.add_covariance(cov) + return s + + +def get_circular_mask(config, th0=np.pi/2, phi0=0.): + nside = config['nside'] + fsky = config['fsky'] + aposize = config['aposize'] + npix = hp.nside2npix(nside) + alpha = np.arccos(1-2*fsky*1.28) # This makes it an even 0.1 + v0 = np.array(hp.ang2vec(th0, phi0)) + v = np.array(hp.pix2vec(nside, np.arange(npix))) + x = (alpha-np.arccos(np.dot(v0, v)))/np.radians(aposize) + mask = x-np.sin(2*np.pi*x)/(2*np.pi) + mask[x < 0] = 0 + mask[x > 1] = 1 + return mask + + +def get_simulation(config, seed, recompute=False, get_bpwws=False): + fname_out = config['output_dir'] + f'cls_sim{seed}.npz' + if os.path.isfile(fname_out) and (not recompute): + print(f" Reading simulation {seed} from file") + d = np.load(fname_out) + if get_bpwws: + bpwws = np.array([np.load(config['output_dir'] + f'bpwws{i1}{i2}.npz')['bpww'] + for i1, i2, ix in get_pairs()]) + else: + bpwws = None + return d['ls'], d['cls_s'], d['cls_n'], bpwws + + print(f" Generating simulation {seed}") + np.random.seed(seed) + + nside = config['nside'] + npix = hp.nside2npix(nside) + if config['mask_type'] == 'circular' : + mask = get_circular_mask(config) + elif config['mask_type'] == 'SAT': + mask = hp.ud_grade(hp.read_map("data/mask_apodized.fits", verbose=False), + nside_out=nside) + else: + raise NotImplementedError("Not yet") + + use_nhits = config.get('use_nhits', False) + if use_nhits: + nhits = hp.ud_grade(hp.read_map("data/norm_nHits_SA_35FOV.fits", verbose=False), + nside_out=nside) + fsky_use = np.mean(nhits) + else: + fsky_use = config['fsky'] + nls = get_noise(config, fsky_use) + sky = get_cls(config) + + # Create noise maps + if config.get('scalar_B', True): + noise_maps = np.array([hp.synfast(n, nside, new=True, verbose=False) + for n in nls]) + if use_nhits: + id_good = nhits > 0.001 * np.amax(nhits) + noise_maps[:, id_good] = noise_maps[:, id_good] / np.sqrt(nhits[id_good]) + else: + noise_maps = np.array([[hp.synfast(n, nside, new=True, verbose=False), + hp.synfast(n, nside, new=True, verbose=False)] + for n in nls]) + if use_nhits: + id_good = nhits > 0.001 * np.amax(nhits) + noise_maps[:, :, id_good] = noise_maps[:, :, id_good] / np.sqrt(nhits[id_good]) + + # Create component alms + comp_alms = {} + if config.get('scalar_B', True): + for comp in ['CMB', 'Dust', 'Sync']: + comp_alms[comp] = hp.synalm(sky[comp]['BB'], new=True) + else: + for comp in ['CMB', 'Dust', 'Sync']: + comp_alms[comp] = np.array([hp.synalm(sky[comp]['EE'], new=True), + hp.synalm(sky[comp]['BB'], new=True)]) + + # Create frequency signal maps + beams = get_beams(config) + if config.get('scalar_B', True): + signal_maps = np.zeros([6, npix]) + for inu, nu in enumerate(so_V3_SA_bands()): + beam = beams[inu] + # Convolve with beam and transform + comp_maps = {k: hp.alm2map(hp.almxfl(alm, beam), nside, verbose=False) + for k, alm in comp_alms.items()} + for k, m in comp_maps.items(): + sed = sky[k]['sed_n'][inu] + signal_maps[inu] += m*sed + else: + signal_maps = np.zeros([6, 2, npix]) + for inu, nu in enumerate(so_V3_SA_bands()): + beam = beams[inu] + # Convolve with beam and transform + comp_maps = {k: np.array(hp.alm2map_spin([hp.almxfl(alm, beam) for alm in alms], + nside, spin=2, lmax=3*nside-1)) + for k, alms in comp_alms.items()} + for k, m in comp_maps.items(): + sed = sky[k]['sed_n'][inu] + signal_maps[inu, :, :] += m*sed + + # Mix it up + ZERO = 0 + mask_binary = np.ones_like(mask) + mask_binary[mask <= ZERO] = 0 + data_maps = mask_binary*(signal_maps+noise_maps) + + # Power spectra + # Bandpowers + bins = nmt.NmtBin(nside, nlb=10, is_Dell=True) + # Fields + if config.get('scalar_B', True): + fs = [nmt.NmtField(mask, [m], beam=b, n_iter=config.get('n_iter', 0)) + for m, b in zip(data_maps, beams)] + fn = [nmt.NmtField(mask, [m], beam=b, n_iter=config.get('n_iter', 0)) + for m, b in zip(noise_maps, beams)] + else: + fs = [nmt.NmtField(mask, m, beam=b, n_iter=config.get('n_iter', 0), purify_b=True) + for m, b in zip(data_maps, beams)] + fn = [nmt.NmtField(mask, m, beam=b, n_iter=config.get('n_iter', 0), purify_b=True) + for m, b in zip(noise_maps, beams)] + + # Workspaces and c_ells + cls_s = [] + cls_n = [] + if get_bpwws: + bpwws = [] + else: + bpwws = None + for i1, i2, ix in get_pairs(): + fs1 = fs[i1] + fs2 = fs[i2] + fn1 = fn[i1] + fn2 = fn[i2] + w = nmt.NmtWorkspace() + fname_w = config['output_dir'] + f'wsp{i1}{i2}.fits' + if os.path.isfile(fname_w): + w.read_from(fname_w) + else: + w.compute_coupling_matrix(fs1, fs2, bins) + w.write_to(fname_w) + if get_bpwws: + fname_b = config['output_dir'] + f'bpwws{i1}{i2}.npz' + if os.path.isfile(fname_b): + d = np.load(fname_b) + bpww = d['bpww'] + else: + bpww = w.get_bandpower_windows() + np.savez(fname_b, bpww=bpww) + bpwws.append(bpww) + cls = w.decouple_cell(nmt.compute_coupled_cell(fs1, fs2)) + cln = w.decouple_cell(nmt.compute_coupled_cell(fn1, fn2)) + cls_s.append(cls) + cls_n.append(cln) + cls_s = np.array(cls_s) + cls_n = np.array(cls_n) + if get_bpwws: + bpwws = np.array(bpwws) + ls = bins.get_effective_ells() + + np.savez(fname_out, ls=ls, cls_s=cls_s, cls_n=cls_n) + + return ls, cls_s, cls_n, bpwws + + +config = {'noise_level': 'baseline', + 'ell_knee': 'optimistic', + 'nside': 256, + 'A_d_B': 28., 'alpha_d': -0.16, 'beta_d': 1.6, 'temp_d': 19.6, + 'A_s_B': 1.6, 'alpha_s': -0.93, 'beta_s': -3., + 'mask_type': 'SAT', 'fsky': 0.1, 'aposize': 10, 'use_nhits': True, + 'scalar_B': False, 'nsims': 500, 'sims_to_save': [0, 1, 2, 3, 4, 5], + 'output_dir': 'sim_SAT_B2_inhomogeneous/'} +#config = {'noise_level': 'baseline', +# 'ell_knee': 'optimistic', +# 'nside': 256, +# 'A_d_B': 28., 'alpha_d': -0.16, 'beta_d': 1.6, 'temp_d': 19.6, +# 'A_s_B': 1.6, 'alpha_s': -0.93, 'beta_s': -3., +# 'mask_type': 'SAT', 'fsky': 0.1, 'aposize': 10, 'use_nhits': True, +# 'scalar_B': True, 'nsims': 500, 'sims_to_save': [0, 1, 2, 3, 4, 5], +# 'output_dir': 'sim_SAT_B0_inhomogeneous/'} +#config = {'noise_level': 'baseline', +# 'ell_knee': 'optimistic', +# 'nside': 256, +# 'A_d_B': 28., 'alpha_d': -0.16, 'beta_d': 1.6, 'temp_d': 19.6, +# 'A_s_B': 1.6, 'alpha_s': -0.93, 'beta_s': -3., +# 'mask_type': 'SAT', 'fsky': 0.1, 'aposize': 10, +# 'scalar_B': True, 'nsims': 500, 'sims_to_save': [0, 1, 2, 3, 4, 5], +# 'output_dir': 'sim_SAT_B0_homogeneous/'} +#config = {'noise_level': 'baseline', +# 'ell_knee': 'optimistic', +# 'nside': 256, +# 'A_d_B': 28., 'alpha_d': -0.16, 'beta_d': 1.6, 'temp_d': 19.6, +# 'A_s_B': 1.6, 'alpha_s': -0.93, 'beta_s': -3., +# 'mask_type': 'circular', 'fsky': 0.1, 'aposize': 10, +# 'scalar_B': True, 'nsims': 500, 'sims_to_save': [0, 1, 2, 3, 4, 5], +# 'output_dir': 'sim_circular_B0_homogeneous/'} + +os.system('mkdir -p ' + config['output_dir']) +# Get theory +print("Theory power spectra") +sth = get_sacc_theory(config, 0.1) +sth.save_fits(config['output_dir'] + 'theory_sacc.fits', overwrite=True) + +# Generate simulations +cls_s = [] +cls_n = [] +bpwws = None +for i in range(config['nsims']): + get_bpwws = i == 0 + l_bpw, cls, cln, w = get_simulation(config, 1000+i, recompute=False, get_bpwws=get_bpwws) + if get_bpwws: + bpwws = w + cls_s.append(cls) + cls_n.append(cln) +cls_s = np.array(cls_s) +cls_n = np.array(cls_n) +cl_n = np.mean(cls_n, axis=0) +cl_s = np.mean(cls_s, axis=0) + +# Subtract mean noise and compute covariance +if config.get('scalar_B', True): + icl = 0 +else: + icl = 3 +nsim, ncls, nmod, nls = cls_s.shape +cls_s -= cl_n[None, :, :, :] +cl_s -= cl_n +covar_all = np.cov(cls_s.reshape([nsim, ncls*nmod*nls]).T) +covar_all = covar_all.reshape([ncls, nmod, nls, ncls, nmod, nls]) +covar = np.zeros([ncls, nls, ncls, nls]) +# Keep diagonal only +for i1, i2, ix in get_pairs(): + for j1, j2, jx in get_pairs(): + covar[ix, :, jx, :] = np.diag(np.diag(covar_all[ix, icl, :, jx, icl, :])) +covar = covar.reshape([ncls*nls, ncls*nls]) + +# Save sacc files +ls = np.arange(3*config['nside']) +saccs = [] +W = get_bandpower_windows(3*config['nside'], + delta_ell=10, + is_dl=True).T +#wins = [sacc.BandpowerWindow(ls, W) for i1, i2, ix in get_pairs()] +wins = [sacc.BandpowerWindow(ls, bpwws[ix][icl, :, icl, :].T) + for i1, i2, ix in get_pairs()] +print(bpwws[0].shape) +for isim in config['sims_to_save']: + print(isim) + s = sacc.Sacc() + nus = so_V3_SA_bands() + beams = get_beams(config) + for i, nu in enumerate(nus): + s.add_tracer('NuMap', 'band%d' % i, + quantity='cmb_polarization', + spin=2, + nu=np.array([nu-1, nu, nu+1]), + bandpass=np.array([0., 1., 0.]), + ell=ls, beam=beams[i], + nu_unit='GHz', map_unit='uK_CMB') + + for i1, i2, ix in get_pairs(): + s.add_ell_cl('cl_bb', 'band%d'%i1, 'band%d'%i2, l_bpw, cls_s[isim, ix, icl, :], window=wins[ix]) + s.add_covariance(covar) + seed = 1000 + isim + s.save_fits(config['output_dir'] + f'sim{seed}_sacc.fits', overwrite=True) + saccs.append(s) + +for i1, i2, ix in get_pairs(): + lth, clth, cvth = sth.get_ell_cl('cl_bb', 'band%d' % i1, 'band%d' % i2, return_cov=True) + plt.figure() + for s in saccs: + l, cl, cv = s.get_ell_cl('cl_bb', 'band%d' % i1, 'band%d' % i2, return_cov=True) + #plt.plot(l, cl) + plt.plot(l, np.diag(cv), 'r-') + #plt.plot(lth, clth, 'k-', lw=2) + #plt.plot(lth, cl_s[ix, icl], 'r-', lw=2) + plt.plot(l, np.diag(cvth), 'k-') + plt.loglog() +plt.show()