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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/Parabola_segment_2.h $ // $Id: include/CGAL/Parabola_segment_2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Menelaos Karavelas #ifndef CGAL_PARABOLA_SEGMENT_2_H #define CGAL_PARABOLA_SEGMENT_2_H #include #include namespace CGAL { namespace Qt { template class PainterOstream; } template < class Gt > struct Parabola_segment_2 : public Parabola_2< Gt > { typedef CGAL::Parabola_2 Base; typedef typename Base::Site_2 Site_2; typedef typename Base::FT FT; typedef typename Base::Point_2 Point_2; typedef typename Base::Segment_2 Segment_2; typedef typename Base::Line_2 Line_2; using Base::t; using Base::f; Point_2 p1, p2; Parabola_segment_2() : Parabola_2< Gt >() {} template Parabola_segment_2(const ApolloniusSite &p, const Line_2 &l, const Point_2 &p1, const Point_2 &p2) : Parabola_2< Gt >(p, l) { this->p1 = p1; this->p2 = p2; } Parabola_segment_2(const Point_2 &p, const Line_2 &l, const Point_2 &p1, const Point_2 &p2) : Parabola_2< Gt >(p, l) { this->p1 = p1; this->p2 = p2; } int compute_k(const FT tt, const FT STEP) const { return int(CGAL::to_double(CGAL::approximate_sqrt(tt / STEP))); } // s0 and s1 define a desired drawing "range" void generate_points(std::vector& p, const FT STEP, FT s0, FT s1) const { CGAL_precondition(STEP > 0); p.clear(); if (CGAL::compare(s0, s1) == LARGER) std::swap(s0, s1); // This is a parabola segment that exists between only between p1 and p2 so we gotta crop // the desired range to actually fit the parabola segment FT tp1 = t(p1), tp2 = t(p2); if (CGAL::compare(tp1, tp2) == LARGER) std::swap(tp1, tp2); if(tp2 < s0 || s1 < tp1) // nothing to draw because the ranges are completely disjoint return; s0 = (std::max)(s0, tp1); s1 = (std::min)(s1, tp2); if ( !(CGAL::is_positive(s0)) && !(CGAL::is_negative(s1)) ) { FT tt = - STEP; int k = -1; p.push_back( this->o ); // no need to check tt < s1 since we have tt < 0, s1 >= 0 and tt is moving towards -inf while ( CGAL::compare(tt, s0) == LARGER ) { p.insert( p.begin(), f(tt) ); --k; tt = - FT(k * k) * STEP; } p.insert( p.begin(), f(s0) ); k = 1; tt = STEP; // no need to check tt > s0 since we have tt > 0, s0 <= 0 and tt is moving towards +inf while ( CGAL::compare(tt, s1) == SMALLER ) { p.push_back( f(tt) ); ++k; tt = FT(k * k) * STEP; } p.push_back( f(s1) ); } else if ( !(CGAL::is_negative(s0)) && !(CGAL::is_negative(s1)) ) { FT tt = s0; int k = compute_k(tt, STEP); do { p.push_back( f(tt) ); ++k; tt = FT(k * k) * 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, STEP); do { p.push_back( f(tt) ); --k; tt = - FT(k * k) * STEP; } while ( CGAL::compare(tt, s0) == LARGER && CGAL::compare(tt, s1) == SMALLER ); p.push_back( f(s0) ); } } void generate_points(std::vector& p, const FT STEP = FT(2)) const { return generate_points(p, STEP, t(p1), t(p2)); } template< class Stream > void draw(Stream& W) const { std::vector< Point_2 > p; generate_points(p); for (unsigned int i = 0; i < p.size() - 1; i++) { W << Segment_2(p[i], p[i+1]); } } template< class K > void draw(CGAL::Qt::PainterOstream& stream) const { stream.draw_parabola_segment(this->center(), this->line(), p1, p2); } }; template< class Stream, class Gt > inline Stream& operator<<(Stream &s, const Parabola_segment_2 &P) { P.draw(s); return s; } } //namespace CGAL #endif // CGAL_PARABOLA_SEGMENT_2_H