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// Copyright (c) 2000 // 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/Intersections_2/include/CGAL/Intersections_2/Line_2_Line_2.h $ // $Id: include/CGAL/Intersections_2/Line_2_Line_2.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Geert-Jan Giezeman #ifndef CGAL_INTERSECTIONS_2_LINE_2_LINE_2_H #define CGAL_INTERSECTIONS_2_LINE_2_LINE_2_H #include #include #include #include #include namespace CGAL { class Cartesian_tag; class Homogeneous_tag; namespace Intersections { namespace internal { template class Line_2_Line_2_pair { public: enum Intersection_results {NO_INTERSECTION, POINT, LINE, UNKNOWN}; Line_2_Line_2_pair(typename K::Line_2 const *line1, typename K::Line_2 const *line2) : _line1(line1), _line2(line2) {} Intersection_results intersection_type() const; typename K::Point_2 intersection_point() const; typename K::Line_2 intersection_line() const; protected: typename K::Line_2 const* _line1; typename K::Line_2 const * _line2; mutable Intersection_results _result = UNKNOWN; mutable typename K::Point_2 _intersection_point; }; template inline typename K::Boolean do_intersect(const typename K::Line_2& l1, const typename K::Line_2& l2, const K&) { typedef Line_2_Line_2_pair pair_t; pair_t pair(&l1, &l2); return pair.intersection_type() != pair_t::NO_INTERSECTION; } template typename CGAL::Intersection_traits ::result_type intersection(const typename K::Line_2 &line1, const typename K::Line_2 &line2, const K&) { typedef Line_2_Line_2_pair is_t; is_t linepair(&line1, &line2); switch (linepair.intersection_type()) { case is_t::NO_INTERSECTION: default: return intersection_return(); case is_t::POINT: return intersection_return(linepair.intersection_point()); case is_t::LINE: return intersection_return(line1); } } template bool construct_if_finite(POINT &pt, RT x, RT y, RT w, R &, const Cartesian_tag &) { typename R::Construct_point_2 construct_point; typedef typename R::FT FT; CGAL_kernel_precondition(CGAL_NTS is_finite(x) && CGAL_NTS is_finite(y) && w != RT(0)); FT xw = FT(x)/FT(w); FT yw = FT(y)/FT(w); if (!CGAL_NTS is_finite(xw) || !CGAL_NTS is_finite(yw)) return false; pt = construct_point(xw, yw); return true; } template bool construct_if_finite(POINT &pt, RT x, RT y, RT w, R &, const Homogeneous_tag&) { typename R::Construct_point_2 construct_point; typedef typename R::FT FT; CGAL_kernel_precondition(CGAL_NTS is_finite(x) && CGAL_NTS is_finite(y) && w != RT(0)); FT xw = FT(x)/FT(w); FT yw = FT(y)/FT(w); if (!CGAL_NTS is_finite(xw) || !CGAL_NTS is_finite(yw)) return false; pt = construct_point(x, y, w); return true; } template inline bool construct_if_finite(POINT &pt, RT x, RT y, RT w, const R &r) { typedef typename R::Kernel_tag Tag; Tag tag; return construct_if_finite(pt, x, y, w, r, tag); } template typename Line_2_Line_2_pair::Intersection_results Line_2_Line_2_pair::intersection_type() const { typedef typename K::RT RT; if (_result != UNKNOWN) return _result; RT nom1, nom2, denom; // The non const this pointer is used to cast away const. denom = _line1->a()*_line2->b() - _line2->a()*_line1->b(); if (denom == RT(0)) { if (RT(0) == (_line1->a()*_line2->c() - _line2->a()*_line1->c()) && RT(0) == (_line1->b()*_line2->c() - _line2->b()*_line1->c())) _result = LINE; else _result = NO_INTERSECTION; return _result; } nom1 = (_line1->b()*_line2->c() - _line2->b()*_line1->c()); if (!CGAL_NTS is_finite(nom1)) { _result = NO_INTERSECTION; return _result; } nom2 = (_line2->a()*_line1->c() - _line1->a()*_line2->c()); if (!CGAL_NTS is_finite(nom2)) { _result = NO_INTERSECTION; return _result; } K dummyR; if (!construct_if_finite(_intersection_point, nom1, nom2, denom, dummyR)){ _result = NO_INTERSECTION; return _result; } _result = POINT; return _result; } template typename K::Point_2 Line_2_Line_2_pair::intersection_point() const { if (_result == UNKNOWN) intersection_type(); CGAL_kernel_assertion(_result == POINT); return _intersection_point; } template typename K::Line_2 Line_2_Line_2_pair::intersection_line() const { if (_result == UNKNOWN) intersection_type(); CGAL_kernel_assertion(_result == LINE); return *_line1; } } // namespace internal } // namespace Intersections CGAL_INTERSECTION_FUNCTION_SELF(Line_2, 2) CGAL_DO_INTERSECT_FUNCTION_SELF(Line_2, 2) } // namespace CGAL #endif // CGAL_INTERSECTIONS_2_LINE_2_LINE_2_H