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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-13 11:57:42 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-13 11:57:42 +0000 |
commit | 61f3ab8f23f4c924d455757bf3e65f8487521b5a (patch) | |
tree | 885599a36a308f422af98616bc733a0494fe149a /src/toys/differential-constraint.cpp | |
parent | Initial commit. (diff) | |
download | lib2geom-61f3ab8f23f4c924d455757bf3e65f8487521b5a.tar.xz lib2geom-61f3ab8f23f4c924d455757bf3e65f8487521b5a.zip |
Adding upstream version 1.3.upstream/1.3upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/toys/differential-constraint.cpp')
-rw-r--r-- | src/toys/differential-constraint.cpp | 132 |
1 files changed, 132 insertions, 0 deletions
diff --git a/src/toys/differential-constraint.cpp b/src/toys/differential-constraint.cpp new file mode 100644 index 0000000..501eb76 --- /dev/null +++ b/src/toys/differential-constraint.cpp @@ -0,0 +1,132 @@ +/** Differential constraint solver hack + * based on idea from Michael Glissner + * (njh) + */ +#include <2geom/d2.h> +#include <2geom/sbasis.h> +#include <2geom/bezier-to-sbasis.h> + +#include <toys/path-cairo.h> +#include <toys/toy-framework.h> + +using std::vector; +using namespace Geom; + +unsigned total_pieces_sub; +unsigned total_pieces_inc; + +#include <stdio.h> +#include <gsl/gsl_errno.h> +#include <gsl/gsl_matrix.h> +#include <gsl/gsl_odeiv.h> + +vector<Geom::Point> *handlesptr = NULL; + +const unsigned order = 6; + +class SBez: public Toy { + static int + func (double /*t*/, const double y[], double f[], + void */*params*/) + { + //double mu = *(double *)params; + D2<SBasis> B = handles_to_sbasis(handlesptr->begin(), order); + D2<SBasis> dB = derivative(B); + Geom::Point tan = dB(y[0]);//Geom::unit_vector(); + tan /= dot(tan,tan); + Geom::Point yp = B(y[0]); + double dtau = -dot(tan, yp - (*handlesptr)[order+1]); + f[0] = dtau; + + return GSL_SUCCESS; + } + + static int + jac (double /*t*/, const double y[], double *dfdy, + double dfdt[], void *params) + { + double mu = *(double *)params; + gsl_matrix_view dfdy_mat + = gsl_matrix_view_array (dfdy, 2, 2); + gsl_matrix * m = &dfdy_mat.matrix; + gsl_matrix_set (m, 0, 0, 0.0); + gsl_matrix_set (m, 0, 1, 1.0); + gsl_matrix_set (m, 1, 0, -2.0*mu*y[0]*y[1] - 1.0); + gsl_matrix_set (m, 1, 1, -mu*(y[0]*y[0] - 1.0)); + dfdt[0] = 0.0; + dfdt[1] = 0.0; + return GSL_SUCCESS; + } + + double y[2]; + + virtual void draw(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) { + handlesptr = &handles; + cairo_set_line_width (cr, 0.5); + + D2<SBasis> B = handles_to_sbasis(handles.begin(), order); + cairo_d2_sb(cr, B); + + const gsl_odeiv_step_type * T + = gsl_odeiv_step_rk8pd; + + gsl_odeiv_step * s + = gsl_odeiv_step_alloc (T, 1); + gsl_odeiv_control * c + = gsl_odeiv_control_y_new (1e-6, 0.0); + gsl_odeiv_evolve * e + = gsl_odeiv_evolve_alloc (1); + + double mu = 10; + gsl_odeiv_system sys = {func, jac, 1, &mu}; + + static double t = 0.0; + double t1 = t + 1; + double h = 1e-6; + + while (t < t1) + { + int status = gsl_odeiv_evolve_apply (e, c, s, + &sys, + &t, t1, + &h, y); + + if (status != GSL_SUCCESS) + break; + + //printf ("%.5e %.5e %.5e\n", t, y[0], y[1]); + } + + draw_cross(cr, B(y[0])); + + gsl_odeiv_evolve_free (e); + gsl_odeiv_control_free (c); + gsl_odeiv_step_free (s); + + Toy::draw(cr, notify, width, height, save,timer_stream); + } +public: + SBez() { + y[0] = 0; + for(unsigned i = 0; i <= order+1; i++) { + handles.push_back(Geom::Point(uniform()*400, uniform()*400)); + } + } +}; + +int main(int argc, char **argv) { + init(argc, argv, new SBez()); + + return 0; +} + +/* + Local Variables: + mode:c++ + c-file-style:"stroustrup" + c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +)) + indent-tabs-mode:nil + fill-column:99 + End: +*/ +// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 : |