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// Copyright (c) 2002 // Utrecht University (The Netherlands), // ETH Zurich (Switzerland), // INRIA Sophia-Antipolis (France), // Max-Planck-Institute Saarbruecken (Germany), // and Tel-Aviv University (Israel). All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Kernel_d/include/CGAL/Kernel_d/intersection_objects_d.h $ // $Id: include/CGAL/Kernel_d/intersection_objects_d.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : ? #ifndef CGAL_INTERSECTION_OBJECTS_D_H #define CGAL_INTERSECTION_OBJECTS_D_H namespace CGAL { template class Line_d_Line_d_pair { public: enum Intersection_result {NO_INTERSECTION, POINT, LINE}; typedef typename R::Point_d Point_d; typedef typename R::Line_d Line_d; typedef typename R::FT FT; protected: Line_d _l1, _l2; bool _known; Intersection_result _result; Point_d _ip; public: Line_d_Line_d_pair() : _known(false) {} Line_d_Line_d_pair(const Line_d& l1, const Line_d& l2) : _l1(l1), _l2(l2), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Line_d& result); }; template typename Line_d_Line_d_pair::Intersection_result Line_d_Line_d_pair::intersection_type() { if (_known) return _result; _known = true; //CGAL_assertion(!_l1.is_degenerate()&&!_l2.is_degenerate()); typedef typename R::Line_line_intersection_d Int_obj_type; Int_obj_type Intersect; FT l1,l2; typename Int_obj_type::Intersection_result res = Intersect(_l1.point(0),_l1.point(1), _l2.point(0),_l2.point(1), _ip,l1,l2); if (res == Int_obj_type::LINE) { return _result = LINE; } if (res == Int_obj_type::POINT) { return _result = POINT; } return _result = NO_INTERSECTION; } template bool Line_d_Line_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Line_d_Line_d_pair::intersection(Line_d& l) { if (!_known) intersection_type(); if (_result != LINE) return false; l = _l1; return true; } template class Line_d_Ray_d_pair { public: enum Intersection_result {NO_INTERSECTION, POINT, RAY}; typedef typename R::Point_d Point_d; typedef typename R::Ray_d Ray_d; typedef typename R::Line_d Line_d; typedef typename R::FT FT; protected: Line_d _l; Ray_d _r; bool _known; Intersection_result _result; Point_d _ip; public: Line_d_Ray_d_pair() : _known(false) {} Line_d_Ray_d_pair(const Line_d& l, const Ray_d& r) : _l(l), _r(r), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Ray_d& result); }; template typename Line_d_Ray_d_pair::Intersection_result Line_d_Ray_d_pair::intersection_type() { if (_known) return _result; _known = true; //CGAL_assertion(!_l.is_degenerate()&&!_r.is_degenerate()); typedef typename R::Line_line_intersection_d Int_obj_type; Int_obj_type Intersect; FT l1,l2; typename Int_obj_type::Intersection_result res = Intersect(_l.point(0),_l.point(1), _r.point(0),_r.point(1), _ip,l1,l2); if ( res == Int_obj_type::LINE ) { return _result = RAY; } if ( res == Int_obj_type::POINT && l2 >= FT(0) ) { return _result = POINT; } return _result = NO_INTERSECTION; } template bool Line_d_Ray_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Line_d_Ray_d_pair::intersection(Ray_d& r) { if (!_known) intersection_type(); if (_result != RAY) return false; r = _r; return true; } template class Line_d_Segment_d_pair { public: enum Intersection_result {NO_INTERSECTION, POINT, SEGMENT}; typedef typename R::Point_d Point_d; typedef typename R::Segment_d Segment_d; typedef typename R::Line_d Line_d; typedef typename R::FT FT; protected: Line_d _l; Segment_d _s; bool _known; Intersection_result _result; Point_d _ip; public: Line_d_Segment_d_pair() : _known(false) {} Line_d_Segment_d_pair(const Line_d& l, const Segment_d& s) : _l(l), _s(s), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Segment_d& result); }; template typename Line_d_Segment_d_pair::Intersection_result Line_d_Segment_d_pair::intersection_type() { if (_known) return _result; _known = true; //CGAL_assertion(!_l.is_degenerate()); if ( _s.is_degenerate() ) { if ( _l.has_on(_s.point(0)) ) { _ip = _s.point(0); return _result = POINT; } return _result = NO_INTERSECTION; } // _s not degenerate typedef typename R::Line_line_intersection_d Int_obj_type; Int_obj_type Intersect; FT l1,l2; typename Int_obj_type::Intersection_result res = Intersect(_l.point(0),_l.point(1), _s.point(0),_s.point(1), _ip,l1,l2); if ( res == Int_obj_type::LINE ) { return _result = SEGMENT; } if ( res == Int_obj_type::POINT && FT(0) <= l2 && l2 <= FT(1) ) { return _result = POINT; } return _result = NO_INTERSECTION; } template bool Line_d_Segment_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Line_d_Segment_d_pair::intersection(Segment_d& s) { if (!_known) intersection_type(); if (_result != SEGMENT) return false; s = _s; return true; } template class Ray_d_Ray_d_pair { public: enum Intersection_result { NO_INTERSECTION, POINT, SEGMENT, RAY }; typedef typename R::FT FT; typedef typename R::Point_d Point_d; typedef typename R::Segment_d Segment_d; typedef typename R::Ray_d Ray_d; protected: Ray_d _r1, _r2; bool _known; Intersection_result _result; Point_d _ip; Segment_d _is; Ray_d _ir; public: Ray_d_Ray_d_pair() : _known(false) {} Ray_d_Ray_d_pair(const Ray_d& r1, const Ray_d& r2) : _r1(r1), _r2(r2), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Segment_d& result); bool intersection(Ray_d& result); }; template typename Ray_d_Ray_d_pair::Intersection_result Ray_d_Ray_d_pair::intersection_type() { if (_known) return _result; _known = true; //CGAL_assertion((!_r1.is_degenerate()&&!_r2.is_degenerate()); // none of the lines should be trivial typedef typename R::Line_line_intersection_d Int_obj_type; Int_obj_type Intersect; FT l1,l2; typename Int_obj_type::Intersection_result res = Intersect(_r1.point(0),_r1.point(1), _r2.point(0),_r2.point(1),_ip,l1,l2); if (res == Int_obj_type::LINE) { if ( _r1.direction() == _r2.direction() ) { if ( _r1.has_on(_r2.source()) ) _ir = _r2; else _ir = _r1; return _result = RAY; } // now oppositely directed: if ( _r1.has_on(_r2.source()) ) { if ( _r1.source() != _r2.source() ) { _is = Segment_d(_r1.source(),_r2.source()); return _result = SEGMENT; } else { _ip = _r1.source(); return _result = POINT; } } return _result = NO_INTERSECTION; } if (res == Int_obj_type::POINT && FT(0) <= l1 && FT(0) <= l2) { return _result = POINT; } return _result = NO_INTERSECTION; // now not parallel } template bool Ray_d_Ray_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Ray_d_Ray_d_pair::intersection(Segment_d& s) { if (!_known) intersection_type(); if (_result != SEGMENT) return false; s = _is; return true; } template bool Ray_d_Ray_d_pair::intersection(Ray_d& r) { if (!_known) intersection_type(); if (_result != RAY) return false; r = _ir; return true; } template class Ray_d_Segment_d_pair { public: enum Intersection_result { NO_INTERSECTION, POINT, SEGMENT }; typedef typename R::FT FT; typedef typename R::Point_d Point_d; typedef typename R::Segment_d Segment_d; typedef typename R::Ray_d Ray_d; protected: Ray_d _r; Segment_d _s; bool _known; Intersection_result _result; Point_d _ip; Segment_d _is; public: Ray_d_Segment_d_pair() : _known(false) {} Ray_d_Segment_d_pair(const Ray_d& r, const Segment_d& s) : _r(r), _s(s), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Segment_d& result); }; template typename Ray_d_Segment_d_pair::Intersection_result Ray_d_Segment_d_pair::intersection_type() { if (_known) return _result; _known = true; //CGAL_assertion(!_r.is_degenerate()); if ( _s.is_degenerate() ) { if ( _r.has_on(_s.point(0)) ) { _ip = _s.point(0); return _result = POINT; } return _result = NO_INTERSECTION; } // now s is not degenerate typedef typename R::Line_line_intersection_d Int_obj_type; Int_obj_type Intersect; FT l1,l2; typename Int_obj_type::Intersection_result res = Intersect(_r.point(0),_r.point(1), _s.point(0),_s.point(1),_ip,l1,l2); if (res == Int_obj_type::LINE) { Point_d p1 = _s.point(0), p2 = _s.point(1); if ( _s.direction() != _r.direction() ) std::swap(p1,p2); // now order p2 after p1 on r underlying line typename R::Position_on_line_d pos; pos(p1, _r.point(0),_r.point(1), l1); pos(p2, _r.point(0),_r.point(1), l2); if ( l1 < FT(0) ) p1 = _r.point(0); if ( l2 < FT(0) ) { return _result = NO_INTERSECTION; } if ( p1 == p2 ) { _ip = p1; return _result = NO_INTERSECTION; } _is = Segment_d(p1,p2); return _result = SEGMENT; } if (res == Int_obj_type::POINT && FT(0) <= l1 && FT(0) <= l2 && l2 <= FT(1)) { return _result = POINT; } return _result = NO_INTERSECTION; // now not parallel } template bool Ray_d_Segment_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Ray_d_Segment_d_pair::intersection(Segment_d& s) { if (!_known) intersection_type(); if (_result != SEGMENT) return false; s = _is; return true; } template class Segment_d_Segment_d_pair { public: enum Intersection_result { NO_INTERSECTION, POINT, SEGMENT }; typedef typename R::FT FT; typedef typename R::Point_d Point_d; typedef typename R::Segment_d Segment_d; protected: Segment_d _s1,_s2; bool _known; Intersection_result _result; Point_d _ip; Segment_d _is; public: Segment_d_Segment_d_pair() : _known(false) {} Segment_d_Segment_d_pair(const Segment_d& s1, const Segment_d& s2) : _s1(s1), _s2(s2), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Segment_d& result); }; template typename Segment_d_Segment_d_pair::Intersection_result Segment_d_Segment_d_pair::intersection_type() { if (_known) return _result; _known = true; if ( _s1.is_degenerate() ) { if ( _s2.is_degenerate() ) { if ( _s1.point(0) == _s2.point(0) ) { _ip = _s1.point(0); return _result = POINT; } else { return _result = NO_INTERSECTION; } } else { if ( _s2.has_on(_s1.point(0)) ) { _ip = _s1.point(0); return _result = POINT; } else { return _result = NO_INTERSECTION; } } } if ( _s2.is_degenerate() ) { CGAL_assertion( !_s1.is_degenerate() ); if ( _s1.has_on(_s2.point(0)) ) { _ip = _s2.point(0); return _result = POINT; } else { return _result = NO_INTERSECTION; } } // now s1,s2 not degenerate typedef typename R::Line_line_intersection_d Int_obj_type; Int_obj_type Intersect; FT l1,l2; typename Int_obj_type::Intersection_result res = Intersect(_s1.point(0),_s1.point(1), _s2.point(0),_s2.point(1),_ip,l1,l2); if (res == Int_obj_type::LINE) { Point_d p1 = (_s1.min)(), p2 = (_s1.max)(); Point_d q1 = (_s2.min)(), q2 = (_s2.max)(); Point_d s,t; // now order the for points along the line typename R::Position_on_line_d pos; pos(p1, q1, q2, l1); pos(p2, q1, q2, l2); if ( l1 < FT(0) ) { if ( l2 < FT(0) ) { return _result = NO_INTERSECTION; } else { s = q1; } } else { s = p1; } // l1 >= 0 if ( l2 > FT(1) ) { if ( l1 > FT(1) ) { return _result = NO_INTERSECTION; } else { t = q2; } } else { t = p2; } // l2 <= 1 if ( s == t ) { _ip = s; return _result = POINT; } _is = Segment_d(s,t); return _result = SEGMENT; } if ( res == Int_obj_type::POINT && FT(0) <= l1 && l1 <= FT(1) && FT(0) <= l2 && l2 <= FT(1) ) { return _result = POINT; } return _result = NO_INTERSECTION; } template bool Segment_d_Segment_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Segment_d_Segment_d_pair::intersection(Segment_d& s) { if (!_known) intersection_type(); if (_result != SEGMENT) return false; s = _is; return true; } template class Line_d_Hyperplane_d_pair { public: enum Intersection_result {NO_INTERSECTION, POINT, LINE}; typedef typename R::Point_d Point_d; typedef typename R::Line_d Line_d; typedef typename R::Hyperplane_d Hyperplane_d; typedef typename R::FT FT; protected: Line_d _l; Hyperplane_d _h; bool _known; Intersection_result _result; Point_d _ip; public: Line_d_Hyperplane_d_pair() : _known(false) {} Line_d_Hyperplane_d_pair(const Line_d& l, const Hyperplane_d& h) : _l(l), _h(h), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Line_d& result); }; template typename Line_d_Hyperplane_d_pair::Intersection_result Line_d_Hyperplane_d_pair::intersection_type() { if (_known) return _result; _known = true; // CGAL_assertion_msg((!_l.is_degenerate())); typedef typename R::Line_hyperplane_intersection_d Int_obj_type; Int_obj_type Intersect; FT lambda; typename Int_obj_type::Intersection_result res = Intersect(_l.point(0),_l.point(1),_h,_ip,lambda); if (res == Int_obj_type::LINE) { return _result = LINE; } if (res == Int_obj_type::POINT) { return _result = POINT; } return _result = NO_INTERSECTION; } template bool Line_d_Hyperplane_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Line_d_Hyperplane_d_pair::intersection(Line_d& l) { if (!_known) intersection_type(); if (_result != LINE) return false; l = _l; return true; } template class Ray_d_Hyperplane_d_pair { public: enum Intersection_result {NO_INTERSECTION, POINT, RAY}; typedef typename R::FT FT; typedef typename R::Point_d Point_d; typedef typename R::Ray_d Ray_d; typedef typename R::Hyperplane_d Hyperplane_d; protected: Ray_d _r; Hyperplane_d _h; bool _known; Intersection_result _result; Point_d _ip; public: Ray_d_Hyperplane_d_pair() : _known(false) {} Ray_d_Hyperplane_d_pair(const Ray_d& r, const Hyperplane_d& h) : _r(r), _h(h), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Ray_d& result); }; template typename Ray_d_Hyperplane_d_pair::Intersection_result Ray_d_Hyperplane_d_pair::intersection_type() { if (_known) return _result; _known = true; // CGAL_assertion( !_r.is_degenerate() ); typedef typename R::Line_hyperplane_intersection_d Int_obj_type; Int_obj_type Intersect; FT lambda = 0; // initialize to stop compiler warning typename Int_obj_type::Intersection_result res = Intersect(_r.point(0),_r.point(1),_h,_ip,lambda); if ( res == Int_obj_type::POINT && FT(0) <= lambda ) { return _result = POINT; } if ( res == Int_obj_type::LINE ) { return _result = RAY; } return _result = NO_INTERSECTION; } template bool Ray_d_Hyperplane_d_pair::intersection(Point_d& p) { if (!_known) intersection_type(); if (_result != POINT) return false; p = _ip; return true; } template bool Ray_d_Hyperplane_d_pair::intersection(Ray_d& r) { if (!_known) intersection_type(); if (_result != RAY) return false; r = _r; return true; } template class Segment_d_Hyperplane_d_pair { public: enum Intersection_result {NO_INTERSECTION, POINT, SEGMENT}; typedef typename R::FT FT; typedef typename R::Point_d Point_d; typedef typename R::Segment_d Segment_d; typedef typename R::Hyperplane_d Hyperplane_d; protected: Segment_d _s; Hyperplane_d _h; bool _known; Intersection_result _result; Point_d _ip; public: /*{\Mcreation 4}*/ Segment_d_Hyperplane_d_pair() : _known(false) {} Segment_d_Hyperplane_d_pair( const Segment_d& s, const Hyperplane_d& h) : _s(s), _h(h), _known(false) {} Intersection_result intersection_type(); bool intersection(Point_d& result); bool intersection(Segment_d& result); }; template typename Segment_d_Hyperplane_d_pair::Intersection_result Segment_d_Hyperplane_d_pair::intersection_type() { if (_known) return _result; _known = true; if ( _s.is_degenerate() ) { if ( _h.has_on(_s.point(0)) ) { _ip = _s.point(0); return _result = POINT; } else { return _result = NO_INTERSECTION; } } typedef typename R::Line_hyperplane_intersection_d Int_obj_type; Int_obj_type Intersect; FT lambda; typename Int_obj_type::Intersection_result res = Intersect(_s.point(0),_s.point(1),_h,_ip,lambda); if ( res == Int_obj_type::LINE ) { return _result = SEGMENT; } if ( res == Int_obj_type::POINT && FT(0) <= lambda && lambda <= FT(1) ) { return _result = POINT; } return _result = NO_INTERSECTION; } template bool Segment_d_Hyperplane_d_pair::intersection(Point_d& pt) { if (!_known) intersection_type(); if (_result != POINT) return false; pt = _ip; return true; } template bool Segment_d_Hyperplane_d_pair::intersection(Segment_d& s) { if (!_known) intersection_type(); if (_result != SEGMENT) return false; s = _s; return true; } } //namespace CGAL #endif //CGAL_INTERSECTION_OBJECTS_D_H