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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 :
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