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+/*
+ * Circle 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 <memory>
+#include <2geom/numeric/fitting-tool.h>
+#include <2geom/numeric/fitting-model.h>
+
+#include <2geom/circle.h>
+#include <2geom/elliptical-arc.h>
+
+#include <toys/path-cairo.h>
+#include <toys/toy-framework-2.h>
+
+
+using namespace Geom;
+
+
+
+class LFMCircleTangentEquation
+ : public NL::LinearFittingModelWithFixedTerms<Point, double, Circle>
+{
+ public:
+ mutable unsigned count; // sigh
+ mutable Point pb;
+ vector<Point> bases;
+ void feed( NL::VectorView & coeff, double & fixed_term, Point const& p ) const
+ {
+ if (count >= bases.size()) {
+ coeff[0] = p[X];
+ coeff[1] = p[Y];
+ coeff[2] = 1;
+ fixed_term = p[X] * p[X] + p[Y] * p[Y];
+ pb = p;
+ } else {
+ Point pb = bases[count];
+ coeff[0] = p[X];
+ coeff[1] = p[Y];
+ coeff[2] = 0;
+ fixed_term = 2*p[X]*pb[X] + 2*p[Y]*pb[Y];
+ count ++;
+ }
+ }
+
+ size_t size() const
+ {
+ return 3;
+ }
+ void instance(Circle & c, NL::Vector const& coeff) const
+ {
+ c.setCoefficients(1, coeff[0], coeff[1], coeff[2]);
+ }
+};
+
+
+class CircleFitting : public Toy
+{
+ private:
+ void draw( cairo_t *cr, std::ostringstream *notify,
+ int width, int height, bool save, std::ostringstream *timer_stream) override
+ {
+ if (first_time)
+ {
+ first_time = false;
+ Point toggle_sp( 300, height - 50);
+ toggles[0].bounds = Rect( toggle_sp, toggle_sp + Point(120,25) );
+ sliders[0].geometry(Point(50, height - 50), 100);
+ }
+
+ try
+ {
+ vector<Point> points;
+ points.push_back(psh.pts[1]-psh.pts[0]); // tangents
+ //points.push_back(psh.pts[2]-psh.pts[3]);
+ points.push_back(psh.pts[3]);
+ points.push_back(psh.pts[0]);
+ size_t sz = points.size();
+ if (sz < 3)
+ {
+ THROW_RANGEERROR("fitting error: too few points passed");
+ }
+ LFMCircleTangentEquation model;
+ model.count = 0;
+ model.bases.push_back(psh.pts[0]);
+ //model.bases.push_back(psh.pts[3]);
+ NL::least_squeares_fitter<LFMCircleTangentEquation> fitter(model, sz);
+
+ for (size_t i = 0; i < sz; ++i)
+ {
+ fitter.append(points[i]);
+ }
+ fitter.update();
+
+ NL::Vector z(sz, 0.0);
+ model.instance(c, fitter.result(z));
+ //c.set(psh.pts);
+ }
+ catch(RangeError exc)
+ {
+ std::cerr << exc.what() << std::endl;
+ Toy::draw(cr, notify, width, height, save,timer_stream);
+ return;
+ }
+
+ if (toggles[0].on)
+ {
+ try
+ {
+ std::unique_ptr<EllipticalArc> eap( c.arc(psh.pts[0], psh.pts[1], psh.pts[3]) );
+ ea = *eap;
+ }
+ catch(RangeError 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);
+ cairo_move_to(cr, psh.pts[1]);
+ cairo_line_to(cr, 2*psh.pts[0] - psh.pts[1]);
+ cairo_move_to(cr, psh.pts[2]);
+ cairo_line_to(cr, 2*psh.pts[3] - psh.pts[2]);
+ cairo_stroke(cr);
+
+ cairo_set_source_rgba(cr, 0.3, 0.3, 0.3, 1.0);
+ cairo_set_line_width (cr, 0.3);
+ if (!toggles[0].on)
+ {
+ cairo_arc(cr, c.center(X), c.center(Y), c.radius(), 0, 2*M_PI);
+ }
+ else
+ {
+ draw_text(cr, psh.pts[0], "initial");
+ draw_text(cr, psh.pts[1], "inner");
+ draw_text(cr, psh.pts[2], "inner");
+ draw_text(cr, psh.pts[3], "final");
+
+ D2<SBasis> easb = ea.toSBasis();
+ cairo_d2_sb(cr, easb);
+ }
+ cairo_stroke(cr);
+
+ Toy::draw(cr, notify, width, height, save,timer_stream);
+ }
+
+ public:
+ CircleFitting()
+ {
+ first_time = true;
+
+ psh.pts.resize(4);
+ psh.pts[0] = Point(450, 250);
+ psh.pts[1] = Point(450+100, 250+100);
+ psh.pts[2] = Point(250+100, 400+100);
+ psh.pts[3] = Point(250, 400);
+
+
+
+ toggles.emplace_back(" arc / circle ", false);
+ sliders.emplace_back(0, 5, 1, 0, "more handles");
+
+ handles.push_back(&psh);
+ handles.push_back(&(toggles[0]));
+ handles.push_back(&(sliders[0]));
+ }
+
+ private:
+ Circle c;
+ EllipticalArc ea;
+ bool first_time;
+ PointSetHandle psh;
+ std::vector<Toggle> toggles;
+ std::vector<Slider> sliders;
+};
+
+
+
+int main(int argc, char **argv)
+{
+ init( argc, argv, new CircleFitting(), 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 :