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// Copyright (c) 1998-2004 // 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/Distance_2/include/CGAL/Distance_2/Ray_2_Ray_2.h $ // $Id: include/CGAL/Distance_2/Ray_2_Ray_2.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Geert-Jan Giezeman // Michel Hoffmann // Andreas Fabri #ifndef CGAL_DISTANCE_2_RAY_2_RAY_2_H #define CGAL_DISTANCE_2_RAY_2_RAY_2_H #include #include #include namespace CGAL { namespace internal { template typename K::FT ray_ray_squared_distance_parallel(const typename K::Vector_2& ray1dir, const typename K::Vector_2& ray2dir, const typename K::Vector_2& from1to2, const K& k) { typedef typename K::RT RT; typedef typename K::FT FT; if(!is_acute_angle(ray1dir, from1to2, k)) { if(!same_direction(ray1dir, ray2dir, k)) return k.compute_squared_length_2_object()(from1to2); } RT wcr = wcross(ray1dir, from1to2, k); RT w = from1to2.hw(); return (square(wcr) / FT(wmult((K*)0, wdot(ray1dir, ray1dir, k), w, w))); } template typename K::FT squared_distance(const typename K::Ray_2& ray1, const typename K::Ray_2& ray2, const K& k) { typedef typename K::Vector_2 Vector_2; typedef typename K::FT FT; typename K::Construct_vector_2 vector = k.construct_vector_2_object(); typename K::Compute_squared_distance_2 sq_dist = k.compute_squared_distance_2_object(); const Vector_2 ray1dir = ray1.direction().vector(); const Vector_2 ray2dir = ray2.direction().vector(); const Vector_2 diffvec = vector(ray1.source(),ray2.source()); bool crossing1, crossing2; switch(orientation(ray1dir, ray2dir, k)) { case COUNTERCLOCKWISE: crossing1 = !clockwise(diffvec, ray2dir, k); crossing2 = !counterclockwise(ray1dir, diffvec, k); break; case CLOCKWISE: crossing1 = !counterclockwise(diffvec, ray2dir, k); crossing2 = !clockwise(ray1dir, diffvec, k); break; default: return ray_ray_squared_distance_parallel(ray1dir, ray2dir, diffvec,k); } if(crossing1) { if(crossing2) return FT(0); return sq_dist(ray2.source(), ray1); } else { if(crossing2) { return sq_dist(ray1.source(), ray2); } else { FT min1 = sq_dist(ray1.source(), ray2); FT min2 = sq_dist(ray2.source(), ray1); return (min1 < min2) ? min1 : min2; } } } } // namespace internal template inline typename K::FT squared_distance(const Ray_2 &ray1, const Ray_2 &ray2) { return K().compute_squared_distance_2_object()(ray1, ray2); } } // namespace CGAL #endif // CGAL_DISTANCE_2_RAY_2_RAY_2_H