184 lines
3.8 KiB
C++
Executable File
184 lines
3.8 KiB
C++
Executable File
// Copyright (c) 2003,2004 INRIA Sophia-Antipolis (France).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0+
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//
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//
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// Author(s) : Menelaos Karavelas <mkaravel@iacm.forth.gr>
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#ifndef CGAL_PARABOLA_SEGMENT_2_H
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#define CGAL_PARABOLA_SEGMENT_2_H
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#include <CGAL/license/Apollonius_graph_2.h>
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#include <CGAL/Parabola_2.h>
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namespace CGAL {
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namespace Qt {
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template <typename K> class PainterOstream;
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}
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template < class Gt >
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class Parabola_segment_2 : public Parabola_2< Gt >
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{
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typedef CGAL::Parabola_2<Gt> Base;
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typedef typename Base::Site_2 Site_2;
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typedef typename Base::FT FT;
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typedef typename Base::Point_2 Point_2;
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typedef typename Base::Segment_2 Segment_2;
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typedef typename Base::Line_2 Line_2;
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using Base::t;
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using Base::f;
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protected:
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Point_2 p1, p2;
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public:
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Parabola_segment_2() : Parabola_2< Gt >() {}
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template<class ApolloniusSite>
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Parabola_segment_2(const ApolloniusSite &p, const Line_2 &l,
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const Point_2 &p1, const Point_2 &p2)
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: Parabola_2< Gt >(p, l)
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{
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this->p1 = p1;
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this->p2 = p2;
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}
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Parabola_segment_2(const Point_2 &p, const Line_2 &l,
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const Point_2 &p1, const Point_2 &p2)
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: Parabola_2< Gt >(p, l)
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{
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this->p1 = p1;
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this->p2 = p2;
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}
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int compute_k(const FT& tt) const {
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return int(CGAL::sqrt(CGAL::to_double(tt) / 2));
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}
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void generate_points(std::vector<Point_2>& p) const
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{
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const FT STEP(2);
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FT s0, s1;
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s0 = t(p1);
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s1 = t(p2);
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if (CGAL::compare(s0, s1) == LARGER) {
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std::swap(s0, s1);
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}
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p.clear();
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if ( !(CGAL::is_positive(s0)) &&
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!(CGAL::is_negative(s1)) ) {
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FT tt;
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int k;
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p.push_back( this->o );
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k = -1;
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tt = - STEP;
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while ( CGAL::compare(tt, s0) == LARGER ) {
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p.insert( p.begin(), f(tt) );
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k--;
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tt = -FT(k * k) * STEP;
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}
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p.insert( p.begin(), f(s0) );
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k = 1;
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tt = STEP;
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while ( CGAL::compare(tt, s1) == SMALLER ) {
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p.push_back( f(tt) );
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k++;
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tt = FT(k * k) * STEP;
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}
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p.push_back( f(s1) );
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} else if ( !(CGAL::is_negative(s0)) &&
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!(CGAL::is_negative(s1)) ) {
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FT tt;
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int k;
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p.push_back( f(s0) );
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tt = s0;
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k = compute_k(tt);
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while ( CGAL::compare(tt, s1) == SMALLER ) {
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if ( CGAL::compare(tt, s0) != SMALLER )
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p.push_back( f(tt) );
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k++;
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tt = FT(k * k) * STEP;
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}
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p.push_back( f(s1) );
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} else {
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FT tt;
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int k;
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p.push_back( f(s1) );
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tt = s1;
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k = -compute_k(-tt);
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while ( CGAL::compare(tt, s0) == LARGER ) {
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if ( CGAL::compare(tt, s1) != LARGER )
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p.push_back( f(tt) );
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k--;
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tt = -FT(k * k) * STEP;
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}
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p.push_back( f(s0) );
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}
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}
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template< class Stream >
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void draw(Stream& W) const
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{
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std::vector< Point_2 > p;
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generate_points(p);
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for (unsigned int i = 0; i < p.size() - 1; i++) {
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W << Segment_2(p[i], p[i+1]);
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}
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}
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template< class K >
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void draw(CGAL::Qt::PainterOstream<K>& stream) const {
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stream.draw_parabola_segment(this->center(), this->line(), p1, p2);
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}
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};
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template< class Stream, class Gt >
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inline
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Stream& operator<<(Stream &s, const Parabola_segment_2<Gt> &P)
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{
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P.draw(s);
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return s;
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}
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} //namespace CGAL
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#endif // CGAL_PARABOLA_SEGMENT_2_H
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