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+/*
+ * Show off collinear normals between two Bezier curves.
+ * The intersection points are found by using Bezier clipping.
+ *
+ * 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/d2.h>
+#include <2geom/basic-intersection.h>
+#include <2geom/sbasis-to-bezier.h>
+#include <2geom/ray.h>
+
+#include <toys/path-cairo.h>
+#include <toys/toy-framework-2.h>
+
+using namespace Geom;
+
+
+
+class CurveIntersect : public Toy
+{
+
+ void draw( cairo_t *cr, std::ostringstream *notify,
+ int width, int height, bool save, std::ostringstream *timer_stream) override
+ {
+ m_width = width;
+ m_height = height;
+ m_length = (m_width > m_height) ? m_width : m_height;
+ m_length *= 2;
+
+ cairo_set_line_width (cr, 0.3);
+ cairo_set_source_rgba (cr, 0.8, 0., 0, 1);
+ D2<SBasis> A = pshA.asBezier();
+ cairo_d2_sb(cr, A);
+ cairo_stroke(cr);
+ cairo_set_source_rgba (cr, 0.0, 0., 0, 1);
+ D2<SBasis> B = pshB.asBezier();
+ cairo_d2_sb(cr, B);
+ cairo_stroke(cr);
+ draw_text(cr, A.at0(), "A");
+ draw_text(cr, B.at0(), "B");
+
+ Timer tm;
+ tm.ask_for_timeslice();
+ tm.start();
+
+ find_collinear_normal(xs, pshA.pts, pshB.pts, m_precision);
+ Timer::Time als_time = tm.lap();
+ *timer_stream << "find_collinear_normal " << als_time << std::endl;
+ cairo_set_line_width (cr, 0.3);
+ cairo_set_source_rgba (cr, 0.0, 0.0, 0.7, 1);
+ for (auto & x : xs)
+ {
+ Point At = A(x.first);
+ Point Bu = B(x.second);
+ draw_axis(cr, At, Bu);
+ draw_handle(cr, At);
+ draw_handle(cr, Bu);
+
+ }
+ cairo_stroke(cr);
+
+ double h_a_t = 0, h_b_t = 0;
+
+ double h_dist = hausdorfl( A, B, m_precision, &h_a_t, &h_b_t);
+ {
+ Point At = A(h_a_t);
+ Point Bu = B(h_b_t);
+ cairo_move_to(cr, At);
+ cairo_line_to(cr, Bu);
+ draw_handle(cr, At);
+ draw_handle(cr, Bu);
+ cairo_save(cr);
+ cairo_set_line_width (cr, 1);
+ cairo_set_source_rgba (cr, 0.7, 0.0, 0.0, 1);
+ cairo_stroke(cr);
+ cairo_restore(cr);
+ }
+ /*h_dist = hausdorf( A, B, m_precision, &h_a_t, &h_b_t);
+ {
+ Point At = A(h_a_t);
+ Point Bu = B(h_b_t);
+ draw_axis(cr, At, Bu);
+ draw_handle(cr, At);
+ draw_handle(cr, Bu);
+ cairo_save(cr);
+ cairo_set_line_width (cr, 0.3);
+ cairo_set_source_rgba (cr, 0.0, 0.7, 0.0, 1);
+ cairo_stroke(cr);
+ cairo_restore(cr);
+ }*/
+ *notify << "Hausdorf distance = " << h_dist
+ << "occurring at " << h_a_t
+ << " B=" << h_b_t << std::endl;
+
+ Toy::draw(cr, notify, width, height, save,timer_stream);
+ }
+
+ void draw_segment(cairo_t* cr, Point const& p1, Point const& p2)
+ {
+ cairo_move_to(cr, p1);
+ cairo_line_to(cr, p2);
+ }
+
+ void draw_segment(cairo_t* cr, Point const& p1, double angle, double length)
+ {
+ Point p2;
+ p2[X] = length * std::cos(angle);
+ p2[Y] = length * std::sin(angle);
+ p2 += p1;
+ draw_segment(cr, p1, p2);
+ }
+
+ void draw_ray(cairo_t* cr, Ray const& r)
+ {
+ double angle = r.angle();
+ draw_segment(cr, r.origin(), angle, m_length);
+ }
+
+ void draw_axis(cairo_t* cr, Point const& p1, Point const& p2)
+ {
+ double d = Geom::distance(p1, p2);
+ d = d + d/4;
+ Point q1 = Ray(p1, p2).pointAt(d);
+ Point q2 = Ray(p2, p1).pointAt(d);
+ draw_segment(cr, q1, q2);
+ }
+
+public:
+ CurveIntersect(unsigned int _A_bez_ord, unsigned int _B_bez_ord)
+ : A_bez_ord(_A_bez_ord), B_bez_ord(_B_bez_ord)
+ {
+ handles.push_back(&pshA);
+ for (unsigned int i = 0; i <= A_bez_ord; ++i)
+ pshA.push_back(Geom::Point(uniform()*400, uniform()*400)+Point(200,200));
+ handles.push_back(&pshB);
+ for (unsigned int i = 0; i <= B_bez_ord; ++i)
+ pshB.push_back(Geom::Point(uniform()*400, uniform()*400)+Point(200,200));
+
+ m_precision = 1e-6;
+ }
+
+private:
+ unsigned int A_bez_ord, B_bez_ord;
+ PointSetHandle pshA, pshB, pshC;
+ std::vector< std::pair<double, double> > xs;
+ double m_precision;
+ double m_width, m_height, m_length;
+};
+
+
+int main(int argc, char **argv)
+{
+ unsigned int A_bez_ord = 4;
+ unsigned int B_bez_ord = 6;
+ if(argc > 1)
+ sscanf(argv[1], "%d", &A_bez_ord);
+ if(argc > 2)
+ sscanf(argv[2], "%d", &B_bez_ord);
+
+
+ init( argc, argv, new CurveIntersect(A_bez_ord, B_bez_ord), 800, 800);
+ 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 :
+
+