From 633339fd94696454fde427457682a07b73cd9f7b Mon Sep 17 00:00:00 2001 From: Joachim Schoeberl Date: Tue, 5 Dec 2023 09:46:42 +0100 Subject: [PATCH 01/29] Runge-Kutta time-stepping --- demos/test_ode.cc | 57 +++++++++++++++++++++++++++++++++++-- src/nonlinfunc.h | 56 +++++++++++++++++++++++++++++++++++++ src/ode.h | 71 +++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 182 insertions(+), 2 deletions(-) diff --git a/demos/test_ode.cc b/demos/test_ode.cc index 19072aa97..4df8baa9e 100644 --- a/demos/test_ode.cc +++ b/demos/test_ode.cc @@ -24,13 +24,66 @@ class MassSpring : public NonlinearFunction }; +Matrix<> Gauss2a { { 0.25, 0.25 - sqrt(3)/6 }, { 0.25 + sqrt(3)/6, 0.25 } }; +Vector<> Gauss2b { 0.5, 0.5 }; +Vector<> Gauss2c { 0.5 - sqrt(3)/6, 0.5 + sqrt(3)/6 }; + +Vector<> Gauss3c { 0.5 - sqrt(15)/10, 0.5, 0.5+sqrt(15)/10 }; + + +auto ComputeABfromC (const Vector<> & c) +{ + int s = c.Size(); + Matrix M(s, s); + Vector tmp(s); + + for (int i = 0; i < s; i++) + for (int j = 0; j < s; j++) + M(i,j) = std::pow(c(j), i); + CalcInverse(M); + + for (int i = 0; i < s; i++) + tmp(i) = 1.0 / (i+1); + + Vector b = M * tmp; + cout << "b = " << b << endl; + + Matrix a(s,s); + + for (int j = 0; j < s; j++) + { + for (int i = 0; i < s; i++) + tmp(i) = std::pow(c(j),i+1) / (i+1); + a.Row(j) = M * tmp; + } + /* + cout << "b = " << b << endl; + cout << "a = " << a << endl; + */ + return tuple { a, b }; +} + + + int main() { double tend = 4*M_PI; - int steps = 100; + int steps = 200; Vector<> y { 1, 0 }; auto rhs = make_shared(); - + + /* SolveODE_IE(tend, steps, y, rhs, [](double t, VectorView y) { cout << t << " " << y(0) << " " << y(1) << endl; }); + */ + + auto [a,b] = ComputeABfromC (Gauss3c); + SolveODE_RK(tend, steps, a, b, Gauss3c, y, rhs, + [](double t, VectorView y) { cout << t << " " << y(0) << " " << y(1) << endl; }); + + + /* + SolveODE_RK(tend, steps, Gauss2a, Gauss2b, Gauss2c, y, rhs, + [](double t, VectorView y) { cout << t << " " << y(0) << " " << y(1) << endl; }); + */ } diff --git a/src/nonlinfunc.h b/src/nonlinfunc.h index 246369093..681a5372f 100644 --- a/src/nonlinfunc.h +++ b/src/nonlinfunc.h @@ -226,6 +226,62 @@ namespace ASC_ode } }; + + class MultipleFunc : public NonlinearFunction + { + shared_ptr func; + size_t num, fdimx, fdimf; + public: + MultipleFunc (shared_ptr _func, int _num) + : func(_func), num(_num) + { + fdimx = func->DimX(); + fdimf = func->DimF(); + } + + virtual size_t DimX() const { return num * fdimx; } + virtual size_t DimF() const { return num * fdimf; } + virtual void Evaluate (VectorView x, VectorView f) const + { + for (size_t i = 0; i < num; i++) + func->Evaluate(x.Range(i*fdimx, (i+1)*fdimx), + f.Range(i*fdimf, (i+1)*fdimf)); + } + virtual void EvaluateDeriv (VectorView x, MatrixView df) const + { + df = 0.0; + for (size_t i = 0; i < num; i++) + func->EvaluateDeriv(x.Range(i*fdimx, (i+1)*fdimx), + df.Rows(i*fdimf, (i+1)*fdimf).Cols(i*fdimx, (i+1)*fdimx)); + } + }; + + + class MatVecFunc : public NonlinearFunction + { + Matrix<> a; + size_t n; + public: + MatVecFunc (Matrix<> _a, size_t _n) + : a(_a), n(_n) { } + + virtual size_t DimX() const { return n*a.Height(); } + virtual size_t DimF() const { return n*a.Width(); } + virtual void Evaluate (VectorView x, VectorView f) const + { + MatrixView<> mx(a.Width(), n, n, x.Data()); + MatrixView<> mf(a.Height(), n, n, f.Data()); + mf = a * mx; + } + virtual void EvaluateDeriv (VectorView x, MatrixView df) const + { + df = 0.0; + for (size_t i = 0; i < a.Height(); i++) + for (size_t j = 0; j < a.Width(); j++) + df.Rows(i*n, (i+1)*n).Cols(j*n, (j+1)*n).Diag() = a(i,j); + } + }; + } diff --git a/src/ode.h b/src/ode.h index 75f222372..6298805a0 100644 --- a/src/ode.h +++ b/src/ode.h @@ -31,11 +31,82 @@ namespace ASC_ode } } + + + + + + // implicit Euler method for dy/dt = rhs(y) + void SolveODE_RK(double tend, int steps, + Matrix<> a, Vector<> b, Vector<> c, + VectorView y, shared_ptr rhs, + std::function)> callback = nullptr) + { + double dt = tend/steps; + int s = c.Size(); + int n = y.Size(); + + /* + auto multiple_rhs = make_shared(rhs, s); + Vector<> my(s*y.Size()); + Vector<> mf(s*y.Size()); + auto myold = make_shared(my); + auto mynew = make_shared(s*n); + auto equ = mynew-myold - dt * Compose(make_shared(a, n), multiple_rhs); + + + double t = 0; + for (int i = 0; i < steps; i++) + { + cout << "step " << i << endl; + for (int j = 0; j < s; j++) + my.Range(j*n, (j+1)*n) = y; + myold->Set(my); + + NewtonSolver (equ, my); + + multiple_rhs->Evaluate(my, mf); + for (int j = 0; j < s; j++) + y += dt * b(j) * mf.Range(j*n, (j+1)*n); + + t += dt; + if (callback) callback(t, y); + } + */ + + auto multiple_rhs = make_shared(rhs, s); + Vector<> mk(s*y.Size()); + Vector<> my(s*y.Size()); + auto myold = make_shared(my); + auto knew = make_shared(s*n); + auto equ = knew - Compose(multiple_rhs, myold+dt*make_shared(a, n)); + + double t = 0; + for (int i = 0; i < steps; i++) + { + cout << "step " << i << endl; + for (int j = 0; j < s; j++) + my.Range(j*n, (j+1)*n) = y; + myold->Set(my); + + mk = 0.0; + NewtonSolver (equ, mk); + + for (int j = 0; j < s; j++) + y += dt * b(j) * mk.Range(j*n, (j+1)*n); + + t += dt; + if (callback) callback(t, y); + } + + } + + // Newmark and generalized alpha: // https://miaodi.github.io/finite%20element%20method/newmark-generalized/ From 151ff70af0f7f14f951e60c1f589900628c45a58 Mon Sep 17 00:00:00 2001 From: Joachim Schoeberl Date: Tue, 5 Dec 2023 10:18:52 +0100 Subject: [PATCH 02/29] Gauss and Radau integration rules --- demos/test_ode.cc | 140 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 140 insertions(+) diff --git a/demos/test_ode.cc b/demos/test_ode.cc index 4df8baa9e..82b0375b7 100644 --- a/demos/test_ode.cc +++ b/demos/test_ode.cc @@ -31,6 +31,120 @@ Vector<> Gauss2c { 0.5 - sqrt(3)/6, 0.5 + sqrt(3)/6 }; Vector<> Gauss3c { 0.5 - sqrt(15)/10, 0.5, 0.5+sqrt(15)/10 }; +// codes from Numerical Recipes, https://numerical.recipes/book.html + +// Gauss integration on [0,1] +void GaussLegendre(VectorView<> x, VectorView<> w) +// Given the lower and upper limits of integration x1 and x2, this routine returns arrays x[0..n-1] +// and w[0..n-1] of length n, containing the abscissas and weights of the Gauss-Legendre n-point +// quadrature formula. + { + double x1 = 0; + double x2 = 1; + const double EPS=1.0e-14; // EPS is the relative precision. + double z1,z,xm,xl,pp,p3,p2,p1; + int n=x.Size(); + int m=(n+1)/2; // The roots are symmetric in the interval, so + xm=0.5*(x2+x1); // we only have to find half of them. + xl=0.5*(x2-x1); + for (int i=0;i EPS); + x[i]=xm-xl*z; // Scale the root to the desired interval, + x[n-1-i]=xm+xl*z; // and put in its symmetric counterpart. + w[i]=2.0*xl/((1.0-z*z)*pp*pp); // Compute the weight + w[n-1-i]=w[i]; // and its symmetric counterpart. + } + } + + +void GaussJacobi (VectorView<> x, VectorView<> w, const double alf, const double bet) +// Given alf and bet, the parameters ˛ and ˇ of the Jacobi polynomials, this routine returns +// arrays x[0..n-1] and w[0..n-1] containing the abscissas and weights of the n-point GaussJacobi quadrature formula. The largest abscissa is returned in x[0], the smallest in x[n-1]. +{ + const int MAXIT=10; + const double EPS=1.0e-14; // EPS is the relative precision. + int i,its,j; + double alfbet,an,bn,r1,r2,r3; + double a,b,c,p1,p2,p3,pp,temp,z,z1; + int n=x.Size(); + for (i=0;i MAXIT) throw("too many iterations in gaujac"); + x[i]=z; // Store the root and the weight. + w[i]=exp(std::lgamma(alf+n)+std::lgamma(bet+n)-std::lgamma(n+1.0)- + std::lgamma(n+alfbet+1.0))*temp*pow(2.0,alfbet)/(pp*p2); + } +} + + + + auto ComputeABfromC (const Vector<> & c) { int s = c.Size(); @@ -64,6 +178,21 @@ auto ComputeABfromC (const Vector<> & c) } +void GaussRadau (VectorView<> x, VectorView<> w) +{ + GaussJacobi (x.Range(0, x.Size()-1), + w.Range(0, w.Size()-1), 1, 0); + for (int i = 0; i < x.Size()-1; i++) + { + x(i) = 0.5*(x(i)+1); + w(i) *= 0.5; + } + x(x.Size()-1) = 1.0; + double sum = 0; + for (int i = 0; i < x.Size()-1; i++) + sum += w(i); + w(x.Size()-1) = 1-sum; +} int main() { @@ -81,6 +210,17 @@ int main() SolveODE_RK(tend, steps, a, b, Gauss3c, y, rhs, [](double t, VectorView y) { cout << t << " " << y(0) << " " << y(1) << endl; }); + + cout << "Gauss3c = " << Gauss3c << endl; + cout << "weights = " << b << endl; + GaussLegendre (Gauss3c, b); + cout << "with generic function, c = " << Gauss3c << ", weights = " << b << endl; + + + Vector<> Radau(3), RadauWeight(3); + GaussRadau (Radau, RadauWeight); + // not sure about weights, comput them via ComputeABfromC + cout << "Radau = " << Radau << ", weight = " << RadauWeight << endl; /* SolveODE_RK(tend, steps, Gauss2a, Gauss2b, Gauss2c, y, rhs, From 617b24ac9aa4e98be84f725b6a61ab10005f6336 Mon Sep 17 00:00:00 2001 From: Joachim Schoeberl Date: Fri, 7 Nov 2025 12:18:25 +0100 Subject: [PATCH 03/29] nanoblas inverse --- demos/test_ode.cpp | 9 +++++---- nanoblas | 2 +- src/implicitRK.hpp | 36 ++++++++++++++++++++++-------------- 3 files changed, 28 insertions(+), 19 deletions(-) diff --git a/demos/test_ode.cpp b/demos/test_ode.cpp index 4ab9698e8..b271e3b93 100644 --- a/demos/test_ode.cpp +++ b/demos/test_ode.cpp @@ -2,6 +2,7 @@ #include #include +#include using namespace ASC_ode; @@ -32,18 +33,18 @@ int main() int steps = 100; Vector<> y = { 1, 0 }; // initializer list auto rhs = std::make_shared(); - + /* solveODE_IE(tend, steps, y, rhs, [](double t, VectorView y) { std::cout << t << " " << y(0) << " " << y(1) << std::endl; }); +*/ -/* auto [a,b] = ComputeABfromC (Gauss3c); SolveODE_RK(tend, steps, a, b, Gauss3c, y, rhs, - [](double t, VectorView y) { cout << t << " " << y(0) << " " << y(1) << endl; }); - + [](double t, VectorView y) { std::cout << t << " " << y(0) << " " << y(1) << std::endl; }); +/* cout << "Gauss3c = " << Gauss3c << endl; cout << "weights = " << b << endl; GaussLegendre (Gauss3c, b); diff --git a/nanoblas b/nanoblas index 2d5126eeb..f935be2ef 160000 --- a/nanoblas +++ b/nanoblas @@ -1 +1 @@ -Subproject commit 2d5126eeb46c6f36073c3d3dd0c34b46aa07a35f +Subproject commit f935be2ef996f8693c49e1203014355615d762fb diff --git a/src/implicitRK.hpp b/src/implicitRK.hpp index 4bcde0e6f..a2bd202c4 100644 --- a/src/implicitRK.hpp +++ b/src/implicitRK.hpp @@ -1,8 +1,14 @@ #ifndef IMPLICITRK_HPP #define IMPLICITRK_HPP +#include +#include +#include + namespace ASC_ode { -Matrix<> Gauss2a { { 0.25, 0.25 - sqrt(3)/6 }, { 0.25 + sqrt(3)/6, 0.25 } }; + using namespace nanoblas; + +Matrix Gauss2a { { 0.25, 0.25 - sqrt(3)/6 }, { 0.25 + sqrt(3)/6, 0.25 } }; Vector<> Gauss2b { 0.5, 0.5 }; Vector<> Gauss2c { 0.5 - sqrt(3)/6, 0.5 + sqrt(3)/6 }; @@ -21,7 +27,7 @@ void GaussLegendre(VectorView<> x, VectorView<> w) double x2 = 1; const double EPS=1.0e-14; // EPS is the relative precision. double z1,z,xm,xl,pp,p3,p2,p1; - int n=x.Size(); + int n=x.size(); int m=(n+1)/2; // The roots are symmetric in the interval, so xm=0.5*(x2+x1); // we only have to find half of them. xl=0.5*(x2-x1); @@ -60,7 +66,7 @@ void GaussJacobi (VectorView<> x, VectorView<> w, const double alf, const double int i,its,j; double alfbet,an,bn,r1,r2,r3; double a,b,c,p1,p2,p3,pp,temp,z,z1; - int n=x.Size(); + int n=x.size(); for (i=0;i x, VectorView<> w, const double alf, const double auto ComputeABfromC (const Vector<> & c) { - int s = c.Size(); + int s = c.size(); Matrix M(s, s); Vector tmp(s); for (int i = 0; i < s; i++) for (int j = 0; j < s; j++) M(i,j) = std::pow(c(j), i); - CalcInverse(M); + + calcInverse(M); + // M = LapackLU(M).inverse(); for (int i = 0; i < s; i++) tmp(i) = 1.0 / (i+1); Vector b = M * tmp; - cout << "b = " << b << endl; + std::cout << "b = " << b << std::endl; Matrix a(s,s); @@ -146,30 +154,30 @@ auto ComputeABfromC (const Vector<> & c) { for (int i = 0; i < s; i++) tmp(i) = std::pow(c(j),i+1) / (i+1); - a.Row(j) = M * tmp; + a.row(j) = M * tmp; } /* cout << "b = " << b << endl; cout << "a = " << a << endl; */ - return tuple { a, b }; + return std::tuple { a, b }; } void GaussRadau (VectorView<> x, VectorView<> w) { - GaussJacobi (x.Range(0, x.Size()-1), - w.Range(0, w.Size()-1), 1, 0); - for (int i = 0; i < x.Size()-1; i++) + GaussJacobi (x.range(0, x.size()-1), + w.range(0, w.size()-1), 1, 0); + for (int i = 0; i < x.size()-1; i++) { x(i) = 0.5*(x(i)+1); w(i) *= 0.5; } - x(x.Size()-1) = 1.0; + x(x.size()-1) = 1.0; double sum = 0; - for (int i = 0; i < x.Size()-1; i++) + for (int i = 0; i < x.size()-1; i++) sum += w(i); - w(x.Size()-1) = 1-sum; + w(x.size()-1) = 1-sum; } } From 310082a25c540b78d988d646399293792b7397b8 Mon Sep 17 00:00:00 2001 From: Bastian Date: Thu, 13 Nov 2025 16:32:27 +0100 Subject: [PATCH 04/29] resolved errors for building --- CMakeLists.txt | 2 +- demos/output_test_ode.txt:Zone.Identifier | 0 demos/test_ode.cpp | 2 +- src/autodiff.hpp | 2 +- src/massspring.cpp | 5 +++++ 5 files changed, 8 insertions(+), 3 deletions(-) create mode 100644 demos/output_test_ode.txt:Zone.Identifier create mode 100644 src/massspring.cpp diff --git a/CMakeLists.txt b/CMakeLists.txt index 6dc00d2b7..10f92289e 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -9,7 +9,7 @@ include_directories(src nanoblas/src) add_subdirectory (src) add_subdirectory (nanoblas) - +add_compile_options(-fpermissive) add_executable (test_ode demos/test_ode.cpp) target_link_libraries (test_ode PUBLIC nanoblas) diff --git a/demos/output_test_ode.txt:Zone.Identifier b/demos/output_test_ode.txt:Zone.Identifier new file mode 100644 index 000000000..e69de29bb diff --git a/demos/test_ode.cpp b/demos/test_ode.cpp index 97f635e40..6d418a088 100644 --- a/demos/test_ode.cpp +++ b/demos/test_ode.cpp @@ -1,6 +1,6 @@ #include #include - +#include #include #include diff --git a/src/autodiff.hpp b/src/autodiff.hpp index aa07dc0c3..3ecdbf819 100644 --- a/src/autodiff.hpp +++ b/src/autodiff.hpp @@ -2,7 +2,7 @@ #define AUTODIFF_HPP #include - +#include namespace ASC_ode { diff --git a/src/massspring.cpp b/src/massspring.cpp new file mode 100644 index 000000000..1d8314891 --- /dev/null +++ b/src/massspring.cpp @@ -0,0 +1,5 @@ +#include + +int main(){ + +} From 05048e994a0b2bebaed316b37c9e71afe53cddab Mon Sep 17 00:00:00 2001 From: BastianGuggenberger Date: Sun, 16 Nov 2025 15:31:59 +0100 Subject: [PATCH 05/29] resolved error in vecexpr.hpp file --- demos/output_test_ode.txt:Zone.Identifier | 0 demos/test_ode.cpp | 4 ++-- 2 files changed, 2 insertions(+), 2 deletions(-) delete mode 100644 demos/output_test_ode.txt:Zone.Identifier diff --git a/demos/output_test_ode.txt:Zone.Identifier b/demos/output_test_ode.txt:Zone.Identifier deleted file mode 100644 index e69de29bb..000000000 diff --git a/demos/test_ode.cpp b/demos/test_ode.cpp index 6d418a088..5a4f99d01 100644 --- a/demos/test_ode.cpp +++ b/demos/test_ode.cpp @@ -1,8 +1,8 @@ #include #include #include -#include -#include +#include "nonlinfunc.hpp" +#include "timestepper.hpp" using namespace ASC_ode; From e9dcfc090cd11d00459cf9c5d4d2c4ec36b434e1 Mon Sep 17 00:00:00 2001 From: BastianGuggenberger Date: Sun, 16 Nov 2025 15:54:00 +0100 Subject: [PATCH 06/29] add usage description --- README.md | 16 ++++++++++++---- demos/output_test_ode.txt:Zone.Identifier | Bin 0 -> 25 bytes demos/plotmassspring.py | 6 ++++-- demos/plots/Phase_plot_standard.png | Bin 0 -> 155598 bytes demos/plots/Time_evolution_standard.png | Bin 0 -> 165601 bytes demos/test_ode.cpp | 4 ++-- 6 files changed, 18 insertions(+), 8 deletions(-) create mode 100644 demos/output_test_ode.txt:Zone.Identifier create mode 100644 demos/plots/Phase_plot_standard.png create mode 100644 demos/plots/Time_evolution_standard.png diff --git a/README.md b/README.md index 9572d8104..b895eba41 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,15 @@ -# ASC-ODE -A package for solving ordinary differential equations +# Mass Spring System solver -Read the [documentation](https://tuwien-asc.github.io/ASC-ODE/intro.html) +## Usage +After cloning first run: -Find theory behind here: https://jschoeberl.github.io/IntroSC/ODEs/ODEs.html +git submodule update --init + +Then build the project with cmake and run the following line in the build folder: + +./test_ode > ../demos/output_test_ode.txt + +Go to the demos folder and run: + +python3 plotmassspring.py \ No newline at end of file diff --git a/demos/output_test_ode.txt:Zone.Identifier b/demos/output_test_ode.txt:Zone.Identifier new file mode 100644 index 0000000000000000000000000000000000000000..d6c1ec682968c796b9f5e9e080cc6f674b57c766 GIT binary patch literal 25 dcma!!%Fjy;DN4*MPD?F{<>dl#JyUFr831@K2xhNUj$>J95#Cg#>AhBx=w>RMVEnw#7a&fPk4qrB<%9mDs&)kd&7&cv|3d)UKSHYz8` z|8_Og_WyWy{wg~4+rFny&t4h}oL$`dr-|+J;Uj@>CY&{t-rDPhq*V;-_&bKopWOZM z#xHpLf4**YS|tqOegFLmx=%Ur?>Cg3Usjj=&v#!A{6bmt@3*e*`zV|L{f@$O?|*;s ze{ase>*0S_&j0R?l7CkN<$p`Z|NqLP-&QuZV`fEXs z_!}(^#+|PQT2i&!3hdLpo2RNpOSWn~S<9V;*Fcb2k? zLJ14_*4^D0F6nML~rI2qs(hzZxam%g~XAfR{qKGf<$4swG>!YvEjkzo*ggVbj z{q@&hwvC2u8F3C%{V$80=8e98cs7Vny2bOiSdGhmJdIEHOAL#3R#(fse*JpmufNKX z*DQ3j)39yT9juR$+4AJKonGZdrM^Ag-4S2DTwk|gL&DWS{=v?|{Pml6h3%Jk_@UC{ z(0yDN{nxH4{LiRGKh%kq(sph!)2NZdX0Sm@N!{W>Z&k3d(hnuCNAB)BcJ7Q>UL14D 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z$|LpyfQ?`mOcC@Xp8V?i;k$OEC z;m#rG5ReC9AQ{(Xj;tHJP5P;8hQ<}{RJcex=-nhb_w^jYt2ED$3SdK+gHTndd;`G* z!X*OvG!GpI_5chVze9ccdRBK4BgCa~0b`c<#3i9dCbxKexGzPr#0DSN=1Qu|u;loZij z(ujh%2~+*%lz$v7`S>D9m!!Kj7yNo#A9*xX$-!w9Wt}T3faR&zzOk7HkV98`3GwS! z=(-f!Nd zH5GMqboj?X9h!mJ=GWJw1p93OrO^;frOp`LQ-+wK$dp1ibJ^()`|aiH*C{jER8&jb zxf!adZK~l~kU=?ohsB?$29hE|e&yIWbr&l1skXmwY?J+O?*aprh0Wr6G16CPz!dHz zDg~uB>oq>gOGfOp24zm0SR&R#pP6tsIpk^GVYEC&xZL-7`S|2Bii4qoV}`10*-$cG z-gr!TBkrBEGBj#X!Y0f@YSsPjFXUH!)c+DeMEnu@#9zLRko(`cd$+S1N+W$tWt5M5 z?);51@E^#9QBf6gQr&e3qiXNrETndYbWj1{75QU_-$Rsu7y*noF2XFZ8p+4M?A}-^ zD9>Y509v8uwiD$`cTPLa+yf#h(u>i%0N4-TzsnX3S|x&qLWl-A-cWT*1q9$CD{H(m zsTN9)fcH*KI8eTU=HGK|ec8xfc5T-aiLF2(;UIIg^qQTrvg}_aN*B zC=It)L-ecy2*Khv&dd==oQ^cq!S^DGG`9OX1lZ%g_>I_8R+MGO9^3J1*RSe*{tJ*g zEec4EP;blDr>==CA-rWss$^x2G9dgM1p;TY-hW@nh+kdTi`-I2eYar5ER{|51>tTq4u literal 0 HcmV?d00001 diff --git a/demos/test_ode.cpp b/demos/test_ode.cpp index 5a4f99d01..633f34f56 100644 --- a/demos/test_ode.cpp +++ b/demos/test_ode.cpp @@ -36,8 +36,8 @@ class MassSpring : public NonlinearFunction int main() { - double tend = 4*M_PI; - int steps = 100; + double tend = 4*M_PI; //standard: 4*M_PI + int steps = 100; //standard: 100 double tau = tend/steps; Vector<> y = { 1, 0 }; // initializer list From a3b689d3b947a1a2e1536c8a57ee966676d84377 Mon Sep 17 00:00:00 2001 From: BastianGuggenberger Date: Tue, 18 Nov 2025 08:11:45 +0100 Subject: [PATCH 07/29] automatized testing for different times and number of steps --- demos/Phase_plot_10000steps_4pi.png | Bin 0 -> 132475 bytes demos/Phase_plot_4 pi_10000 steps_.png | Bin 0 -> 140886 bytes demos/Phase_plot_60 pi_10000 steps_.png | Bin 0 -> 675511 bytes demos/Phase_plot_60 pi_100000 steps_.png | Bin 0 -> 117129 bytes demos/Phase_plot_60 pi_1000000 steps_.png | Bin 0 -> 132475 bytes demos/Time_evolution_10000steps_4pi.png | Bin 0 -> 421601 bytes demos/Time_evolution_4 pi_10000 steps_.png | Bin 0 -> 185224 bytes demos/Time_evolution_60 pi_10000 steps_.png | Bin 0 -> 323817 bytes demos/Time_evolution_60 pi_100000 steps_.png | Bin 0 -> 392225 bytes demos/Time_evolution_60 pi_1000000 steps_.png | Bin 0 -> 421601 bytes demos/test_ode.cpp | 9 ++++++--- 11 files changed, 6 insertions(+), 3 deletions(-) create mode 100644 demos/Phase_plot_10000steps_4pi.png create mode 100644 demos/Phase_plot_4 pi_10000 steps_.png create mode 100644 demos/Phase_plot_60 pi_10000 steps_.png create mode 100644 demos/Phase_plot_60 pi_100000 steps_.png create mode 100644 demos/Phase_plot_60 pi_1000000 steps_.png create mode 100644 demos/Time_evolution_10000steps_4pi.png create mode 100644 demos/Time_evolution_4 pi_10000 steps_.png create mode 100644 demos/Time_evolution_60 pi_10000 steps_.png create mode 100644 demos/Time_evolution_60 pi_100000 steps_.png create mode 100644 demos/Time_evolution_60 pi_1000000 steps_.png diff --git a/demos/Phase_plot_10000steps_4pi.png b/demos/Phase_plot_10000steps_4pi.png new file mode 100644 index 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z?--ye`x`l;fFOb5vz^jGu2nhU^V^s^fRADEs~P=~14zSr?fvx^XT=tvI#qrAdx-g5 zdwaWHz(Cov+_?(GxkI8y#Lj=$8r3v_#;_UJKQHy-uSXR*T zytX_w#ZZA(OrSw7Yz3uFJD<1G*VNP;A2f1zcmMlOzjx5%OfFil1ZYHO(rVYjMy*EDchw>#q7tC*Odbv ze=bcW_cLdP3cxh#Ck;onK*}|M!#0~6s|~~q&f3&BG&FRgfJ!=$Yn=&kPO3_hT)~>u_PP=Y9@6vI zg|q&;unKHyN1m~&_U7=H7YM#OAYc;%6_?i#EzOLHib{7UZ5RVdlr+P}!=nfa%Cmq+ z#ztZBp>>XSX8@Ig&Z{#Bh>{CLoC!pjrueC!;08iW+CQ>D_OB0-BuLoUsHM@(Lx|rF zW<49yd3ORK?U#srp13%Iq!qyi7&*y32!!0D{o?R-c%qGlR)sqjvhm5_CW_CyAvgAb zqsu$XT$BmHr!fS@-y0f&E|Q>p1xa(ftL4!yPymkAM%P9WG)NF30A~6MvjI$9ltnm2 zz;GvyAHM*)Blz^kwes?ENaXzl@E;r-%ah(QGupT_tLExsKakr|6e8<`I2l2cb}ReK z7V)qmy;zq*Z(3#xrwz@(ES=&6K>IRKBlt7^hEH&4sJg*YA&7Ic+)3p7!@GV-kBBh vRf@`sf63?0%m0OOJIk>1zyB|R>g#RlqF0t9e4lxEkV(qQDBjGHe&qRIH^w5E literal 0 HcmV?d00001 diff --git a/demos/test_ode.cpp b/demos/test_ode.cpp index 633f34f56..6371bee91 100644 --- a/demos/test_ode.cpp +++ b/demos/test_ode.cpp @@ -34,10 +34,13 @@ class MassSpring : public NonlinearFunction }; -int main() +int main(int argc, char* argv[]) { - double tend = 4*M_PI; //standard: 4*M_PI - int steps = 100; //standard: 100 + double tend_relative = atof(argv[1]); + double steps = atoi(argv[2]); + + double tend = tend_relative*M_PI; //standard: 4*M_PI + //int steps = 10000; //standard: 100 double tau = tend/steps; Vector<> y = { 1, 0 }; // initializer list From 4efde0fe916fab1364802aad20e1b93d33df9b00 Mon Sep 17 00:00:00 2001 From: BastianGuggenberger Date: Tue, 18 Nov 2025 09:28:52 +0100 Subject: [PATCH 08/29] tested explicit euler method and reported results --- CMakeLists.txt | 3 +- README.md | 14 +++--- REPORT.md | 41 ++++++++++++++++++ demos/Phase_plot_10000steps_4pi.png | Bin 132475 -> 0 bytes demos/Phase_plot_4 pi_10000 steps_.png | Bin 140886 -> 0 bytes demos/Phase_plot_60 pi_10000 steps_.png | Bin 675511 -> 0 bytes demos/Phase_plot_60 pi_100000 steps_.png | Bin 117129 -> 0 bytes demos/Phase_plot_60 pi_1000000 steps_.png | Bin 132475 -> 0 bytes demos/Time_evolution_10000steps_4pi.png | Bin 421601 -> 0 bytes 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insertions(+), 9 deletions(-) create mode 100644 REPORT.md delete mode 100644 demos/Phase_plot_10000steps_4pi.png delete mode 100644 demos/Phase_plot_4 pi_10000 steps_.png delete mode 100644 demos/Phase_plot_60 pi_10000 steps_.png delete mode 100644 demos/Phase_plot_60 pi_100000 steps_.png delete mode 100644 demos/Phase_plot_60 pi_1000000 steps_.png delete mode 100644 demos/Time_evolution_10000steps_4pi.png delete mode 100644 demos/Time_evolution_4 pi_10000 steps_.png delete mode 100644 demos/Time_evolution_60 pi_10000 steps_.png delete mode 100644 demos/Time_evolution_60 pi_100000 steps_.png delete mode 100644 demos/Time_evolution_60 pi_1000000 steps_.png create mode 100644 demos/plots/Phase_plot_4 pi_100 steps_.png create mode 100644 demos/plots/Phase_plot_4 pi_1000 steps_.png create mode 100644 demos/plots/Phase_plot_4 pi_10000 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_100 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_1000 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_10000 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_100000 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_1000000 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_200 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_300 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_50 steps_.png create mode 100644 demos/plots/Phase_plot_60 pi_500 steps_.png create mode 100644 demos/plots/Time_evolution_4 pi_100 steps_.png create mode 100644 demos/plots/Time_evolution_4 pi_1000 steps_.png create mode 100644 demos/plots/Time_evolution_4 pi_10000 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_100 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_1000 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_10000 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_100000 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_1000000 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_200 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_300 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_50 steps_.png create mode 100644 demos/plots/Time_evolution_60 pi_500 steps_.png create mode 100755 runmassspring.sh diff --git a/CMakeLists.txt b/CMakeLists.txt index 10f92289e..1d0901fd8 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -14,5 +14,4 @@ add_executable (test_ode demos/test_ode.cpp) target_link_libraries (test_ode PUBLIC nanoblas) add_executable (demo_autodiff demos/demo_autodiff.cpp) -target_link_libraries (demo_autodiff PUBLIC nanoblas) - +target_link_libraries (demo_autodiff PUBLIC nanoblas) \ No newline at end of file diff --git a/README.md b/README.md index b895eba41..637e6061a 100644 --- a/README.md +++ b/README.md @@ -1,15 +1,19 @@ # Mass Spring System solver ## Usage -After cloning first run: +After cloning first run, run in the command line: git submodule update --init +Then build the project with cmake: -Then build the project with cmake and run the following line in the build folder: +mkdir build +cd build +cmake .. +make +cd .. -./test_ode > ../demos/output_test_ode.txt -Go to the demos folder and run: +You can then run and plot the mass-spring system for a given time and nr of steps automatically with the shell script "runmassspring.sh": -python3 plotmassspring.py \ No newline at end of file +~/team01$ ./runmassspring.sh 4 100 \ No newline at end of file diff --git a/REPORT.md b/REPORT.md new file mode 100644 index 000000000..1519c9c7d --- /dev/null +++ b/REPORT.md @@ -0,0 +1,41 @@ +## Part 3 - Exercise 1: Mass-Spring System +### 1. Testing existing explicit Euler method +We built the exlicit Euer method for the mass-spring system. +Several different time-steps and end-times were tried out automatically with the shell script "runmassspring.sh". + +With the original settings, we obtain the following results: + +

+
+ Phase_plot +
+ +Clearly, this does not represent the energy conversation law which is of course always observed in the harmonic oscillator. + +By increasing the step size, we can fix this for short times: + +
+ Time_evolution +
+
+ Phase_plot +
+ +If we observe the simulation with this stepsize however, we will see that for larger times the energy is also increasing... + +
+ Time_evolution +
+
+ Phase_plot +
+ +... which can again be fixed by an even larger stepsize ... +
+ Time_evolution +
+
+ Phase_plot +
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+parser.add_argument("--tend_relative",type=str, required=True) +parser.add_argument("--steps",type=str, required=True) +args = parser.parse_args() + + plt.plot(data[:,0], data[:,1], label='position') plt.plot(data[:,0], data[:,2], label='velocity') plt.xlabel('time') plt.ylabel('value') -plt.title('Mass-Spring System Time Evolution') +plt.title('Mass-Spring System Time Evolution, tend = ' + args.tend_relative + "pi, steps = " +args.steps) plt.legend() plt.grid() plt.savefig("Time_evolution.png",dpi=300) @@ -18,7 +27,7 @@ plt.plot(data[:,1], data[:,2], label='phase plot') plt.xlabel('position') plt.ylabel('velocity') -plt.title('Mass-Spring System Phase Plot') +plt.title('Mass-Spring System Phase Plot, tend = ' + args.tend_relative + "pi, steps = " +args.steps) plt.legend() plt.grid() plt.savefig("Phase_plot.png",dpi=300) diff --git a/demos/plots/Phase_plot_4 pi_100 steps_.png b/demos/plots/Phase_plot_4 pi_100 steps_.png new file mode 100644 index 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