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// Copyright (c) 2003,2004 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Apollonius_graph_2/include/CGAL/Hyperbola_segment_2.h $ // $Id: include/CGAL/Hyperbola_segment_2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Menelaos Karavelas #ifndef CGAL_HYPERBOLA_SEGMENT_2_H #define CGAL_HYPERBOLA_SEGMENT_2_H #include #include namespace CGAL { template < class Gt > class Hyperbola_segment_2 : public Hyperbola_2< Gt > { public: typedef CGAL::Hyperbola_2 Base; typedef typename Base::Site_2 Site_2; typedef typename Base::Point_2 Point_2; typedef typename Base::Segment_2 Segment_2; typedef typename Base::FT FT; using Base::t; using Base::f; #if 0 typedef CGAL::Hyperbola_2 Base; typedef typename Base::Weighted_point Weighted_point; #endif // typedef typename R::RT FT; // typedef double FT; // typedef CGAL::Point_2< Cartesian > Point_2; // typedef CGAL::Segment_2< Cartesian > Segment_2; protected: Point_2 p1, p2; template< class Stream > inline void draw_line(Stream &W) const { #if 0 FT s[2]; s[0] = t(p1); s[1] = t(p2); Point_2 p[2]; for (int i = 0; i < 2; i++) p[i] = f(s[i]); W << Segment_2(p[0], p[1]); #else W << Segment_2(p1, p2); #endif } inline Point_2 midpoint() const { return Hyperbola_2< Gt >::midpoint(p1, p2); } public: Hyperbola_segment_2() : Hyperbola_2< Gt >() {} Hyperbola_segment_2(const Site_2 &f1, const Site_2 &f2, const Point_2 &p1, const Point_2 &p2) : Hyperbola_2< Gt >(f1, f2) { this->p1 = p1; this->p2 = p2; } int compute_k(const FT tt) const { return int(CGAL::to_double(CGAL::sqrt(tt / this->STEP))); } void generate_points(std::vector& p) const { if ( CGAL::is_zero(this->r) ) { p.push_back(p1); p.push_back(p2); return; } FT s0, s1; s0 = t(p1); s1 = t(p2); if (CGAL::compare(s0, s1) == LARGER) std::swap(s0, s1); p.clear(); if ( !(CGAL::is_positive(s0)) && !(CGAL::is_negative(s1)) ) { FT tt = FT(-this->STEP); int k = -1; p.push_back( this->o ); while ( CGAL::compare(tt, s0) == LARGER ) { p.insert( p.begin(), f(tt) ); --k; tt = - FT(k * k) * this->STEP; } p.insert( p.begin(), f(s0) ); k = 1; tt = FT(this->STEP); while ( CGAL::compare(tt, s1) == SMALLER ) { p.push_back( f(tt) ); ++k; tt = FT(k * k) * this->STEP; } p.push_back( f(s1) ); } else if ( !(CGAL::is_negative(s0)) && !(CGAL::is_negative(s1)) ) { FT tt = s0; int k = - compute_k(-tt); do { p.push_back( f(tt) ); ++k; tt = FT(k * k) * this->STEP; } while ( CGAL::compare(tt, s0) == LARGER && CGAL::compare(tt, s1) == SMALLER ); p.push_back( f(s1) ); } else { FT tt = s1; int k = compute_k(tt); do { p.push_back( f(tt) ); --k; tt = - FT(k * k) * this->STEP; } while ( CGAL::compare(tt, s0) == LARGER && CGAL::compare(tt, s1) == SMALLER ); p.push_back( f(s0) ); } } template< class Stream > void draw(Stream &W) const { std::vector p; generate_points(p); for (unsigned int i = 0; i < p.size() - 1; i++) { W << Segment_2(p[i], p[i+1]); } } }; template< class Stream, class Gt > inline Stream& operator<<(Stream &s, const Hyperbola_segment_2& H) { H.draw(s); return s; } } //namespace CGAL #endif // CGAL_HYPERBOLA_SEGMENT_2_H