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| -rw-r--r-- | src/toys/ellipse-area-minimizer.cpp | 352 |
1 files changed, 352 insertions, 0 deletions
diff --git a/src/toys/ellipse-area-minimizer.cpp b/src/toys/ellipse-area-minimizer.cpp new file mode 100644 index 0000000..48df598 --- /dev/null +++ b/src/toys/ellipse-area-minimizer.cpp @@ -0,0 +1,352 @@ +/* + * Ellipse and Elliptical Arc Fitting Example + * + * Authors: + * Marco Cecchetti <mrcekets at gmail.com> + * + * Copyright 2008 authors + * + * This library is free software; you can redistribute it and/or + * modify it either under the terms of the GNU Lesser General Public + * License version 2.1 as published by the Free Software Foundation + * (the "LGPL") or, at your option, under the terms of the Mozilla + * Public License Version 1.1 (the "MPL"). If you do not alter this + * notice, a recipient may use your version of this file under either + * the MPL or the LGPL. + * + * You should have received a copy of the LGPL along with this library + * in the file COPYING-LGPL-2.1; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * You should have received a copy of the MPL along with this library + * in the file COPYING-MPL-1.1 + * + * The contents of this file are subject to the Mozilla Public License + * Version 1.1 (the "License"); you may not use this file except in + * compliance with the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY + * OF ANY KIND, either express or implied. See the LGPL or the MPL for + * the specific language governing rights and limitations. + */ + + +#include <2geom/numeric/fitting-tool.h> +#include <2geom/numeric/fitting-model.h> + +#include <2geom/ellipse.h> +#include <2geom/elliptical-arc.h> +#include <2geom/utils.h> + +#include <toys/path-cairo.h> +#include <toys/toy-framework-2.h> + +#include <stdio.h> + +#include <gsl/gsl_errno.h> +#include <gsl/gsl_math.h> +#include <gsl/gsl_min.h> + + + + +using namespace Geom; + + +class LFMEllipseArea + : public NL::LinearFittingModelWithFixedTerms<Point, double, Ellipse> +{ + public: + LFMEllipseArea(double coeff) + : m_coeff(coeff*coeff) + { + } + void feed( NL::VectorView & coeff, double & fixed_term, Point const& p ) const + { + coeff[0] = p[X] * p[Y]; + coeff[1] = p[X]; + coeff[2] = p[Y]; + coeff[3] = 1; + fixed_term = p[X] * p[X] + m_coeff * p[Y] * p[Y]; + } + + size_t size() const + { + return 4; + } + + void instance(Ellipse & e, NL::ConstVectorView const& coeff) const + { +// std::cerr << " B = " << coeff[0] +// << " C = " << decimal_round(m_coeff,10) +// << " D = " << coeff[1] +// << " E = " << coeff[2] +// << " F = " << coeff[3] +// << std::endl; + e.setCoefficients(1, coeff[0], m_coeff, coeff[1], coeff[2], coeff[3]); + } + + private: + double m_coeff; +}; + +inline +Ellipse fitting(std::vector<Point> const& points, double coeff) +{ + size_t sz = points.size(); + if (sz != 4) + { + THROW_RANGEERROR("fitting error: too few points passed"); + } + LFMEllipseArea model(coeff); + NL::least_squeares_fitter<LFMEllipseArea> fitter(model, sz); + + for (size_t i = 0; i < sz; ++i) + { + fitter.append(points[i]); + } + fitter.update(); + + NL::Vector z(sz, 0.0); + Ellipse e; + model.instance(e, fitter.result(z)); + return e; +} + + +inline +double area_goal(double coeff, void* params) +{ + typedef std::vector<Point> point_set_t; + const point_set_t & points = *static_cast<point_set_t*>(params); + Ellipse e; + try + { + e = fitting(points, coeff); + } + catch(LogicalError exc) + { + //std::cerr << exc.what() << std::endl; + return 1e18; + } + return e.ray(X) * e.ray(Y); +} + + +inline +double perimeter_goal(double coeff, void* params) +{ + typedef std::vector<Point> point_set_t; + const point_set_t & points = *static_cast<point_set_t*>(params); + Ellipse e; + try + { + e = fitting(points, coeff); + } + catch(LogicalError exc) + { + //std::cerr << exc.what() << std::endl; + return 1e18; + } + return e.ray(X) + e.ray(Y); +} + +void no_minimum_error_handler (const char * reason, + const char * file, + int line, + int gsl_errno) +{ + if (gsl_errno == GSL_EINVAL) + { + std::cerr << "gsl: " << file << ":" << line << " ERROR: " << reason << std::endl; + } + else + { + gsl_error(reason, file, line, gsl_errno); + } +} + +typedef double goal_function_type(double coeff, void* params); + +double minimizer (std::vector<Point> & points, goal_function_type* gf) +{ + int status; + int iter = 0, max_iter = 1000; + const gsl_min_fminimizer_type *T; + gsl_min_fminimizer *s; + double m = 1.0; + double a = 1e-2, b = 1e2; + gsl_function F; + + F.function = gf; + F.params = static_cast<void*>(&points); + + //T = gsl_min_fminimizer_goldensection; + T = gsl_min_fminimizer_brent; + s = gsl_min_fminimizer_alloc (T); + gsl_min_fminimizer_set (s, &F, m, a, b); + +// printf ("using %s method\n", +// gsl_min_fminimizer_name (s)); +// +// printf ("%5s [%9s, %9s] %9s %10s %9s\n", +// "iter", "lower", "upper", "min", +// "err", "err(est)"); +// +// printf ("%5d [%.7f, %.7f] %.7f %+.7f %.7f\n", +// iter, a, b, +// m, m - m_expected, b - a); + + do + { + iter++; + status = gsl_min_fminimizer_iterate (s); + + m = gsl_min_fminimizer_x_minimum (s); + a = gsl_min_fminimizer_x_lower (s); + b = gsl_min_fminimizer_x_upper (s); + + status + = gsl_min_test_interval (a, b, 1e-3, 0.0); + +// if (status == GSL_SUCCESS) +// printf ("Converged:\n"); +// +// printf ("%5d [%.7f, %.7f] " +// "%.7f %+.7f %.7f\n", +// iter, a, b, +// m, m - m_expected, b - a); + } + while (status == GSL_CONTINUE && iter < max_iter); + + gsl_min_fminimizer_free (s); + + if (status != GSL_SUCCESS) return 0; + + return m; +} + + + +class EllipseAreaMinimizer : public Toy +{ + public: + void draw( cairo_t *cr, std::ostringstream *notify, + int width, int height, bool save, std::ostringstream *timer_stream) override + { + Point toggle_sp( 300, height - 50); + toggles[0].bounds = Rect( toggle_sp, toggle_sp + Point(135,25) ); + ConvexHull ch(psh.pts); + bool non_convex = false; + for(auto & pt : psh.pts) { + if (ch.contains(pt)) + non_convex = true; + } + + if(non_convex) { + Circle circ; + std::vector<Point> boundary(ch.begin(), ch.end()); + circ.fit(boundary); + e = Ellipse(circ); + } else { + goal_function_type* gf = &area_goal; + if (!toggles[0].on) gf = &perimeter_goal; + double coeff = minimizer(psh.pts, gf); + + try + { + e = fitting(psh.pts, coeff); + } + catch(LogicalError exc) + { + std::cerr << exc.what() << std::endl; + Toy::draw(cr, notify, width, height, save,timer_stream); + return; + } + } + cairo_set_source_rgba(cr, 0.3, 0.3, 0.3, 1.0); + cairo_set_line_width (cr, 0.3); + draw_elliptical_arc_with_cairo( cr, + e.center(X), e.center(Y), + e.ray(X), e.ray(Y), + 0, 2*M_PI, + e.rotationAngle() ); + if (toggles[0].on) + *notify << "Area: " << e.ray(X)*e.ray(Y); + else + *notify << "Perimeter: " << 2* (e.ray(X) + e.ray(Y)); + cairo_stroke(cr); + + Toy::draw(cr, notify, width, height, save,timer_stream); + } + + void draw_elliptical_arc_with_cairo( + cairo_t *cr, + double _cx, double _cy, + double _rx, double _ry, + double _sa, double _ea, + double _ra = 0 + ) const + { + double cos_rot_angle = std::cos(_ra); + double sin_rot_angle = std::sin(_ra); + cairo_matrix_t transform_matrix; + cairo_matrix_init( &transform_matrix, + _rx * cos_rot_angle, _rx * sin_rot_angle, + -_ry * sin_rot_angle, _ry * cos_rot_angle, + _cx, _cy + ); + cairo_save(cr); + cairo_transform(cr, &transform_matrix); + cairo_arc(cr, 0, 0, 1, _sa, _ea); + cairo_restore(cr); + } + + public: + EllipseAreaMinimizer() + { + gsl_set_error_handler(&no_minimum_error_handler); + + first_time = true; + + psh.pts.resize(4); + psh.pts[0] = Point(450, 250); + psh.pts[1] = Point(250, 100); + psh.pts[2] = Point(250, 400); + psh.pts[3] = Point(400, 320); + + handles.push_back(&psh); + + toggles.emplace_back("Area/Perimeter", true); + handles.push_back(&(toggles[0])); + } + + public: + Ellipse e; + bool first_time; + PointSetHandle psh; + std::vector<Toggle> toggles; +}; + + + + +int main(int argc, char **argv) +{ + init( argc, argv, new EllipseAreaMinimizer(), 600, 600 ); + 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 : |