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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/Triangle_2_Triangle_2.h $ // $Id: include/CGAL/Distance_2/Triangle_2_Triangle_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_TRIANGLE_2_TRIANGLE_2_H #define CGAL_DISTANCE_2_TRIANGLE_2_TRIANGLE_2_H #include #include #include #include namespace CGAL { namespace internal { template typename K::FT squared_distance(const typename K::Triangle_2& triangle1, const typename K::Triangle_2& triangle2, const K& k) { typedef typename K::FT FT; typedef typename K::Point_2 Point_2; typename K::Orientation_2 orientation = k.orientation_2_object(); int ind1_1 = 0, ind1_2 = -1, ind2_1 = 0, ind2_2 = -1, ind1, ind2; FT dist; FT mindist = internal::squared_distance(triangle1.vertex(0), triangle2.vertex(0), k); for(int i=0; i<3; ++i) { const Point_2& pt = triangle1.vertex(i); distance_index(ind1, ind2, pt, triangle2, k); dist = squared_distance_indexed(pt, triangle2, ind1, ind2, k); if(dist < mindist) { ind1_1 = i; ind1_2 = -1; ind2_1 = ind1; ind2_2 = ind2; mindist = dist; } } for(int i=0; i<3; ++i) { const Point_2& pt = triangle2.vertex(i); distance_index(ind1, ind2, pt, triangle1, k); dist = squared_distance_indexed(pt, triangle1, ind1, ind2, k); if(dist < mindist) { ind1_1 = ind1; ind1_2 = ind2; ind2_1 = i; ind2_2 = -1; mindist = dist; } } // now check if all vertices are on the right side of the separating line. if(ind1_2 == -1 && ind2_2 == -1) return mindist; // In case of point-segment closest distance, there is still the // possibility of overlapping triangles. Check if all the // vertices lie at the same side of the segment. if(ind1_2 != -1) { const Point_2& vt1 = triangle1.vertex(ind1_1); const Point_2& vt2 = triangle1.vertex(ind1_2); const Orientation or_s = orientation(vt1, vt2, triangle2.vertex(0)); for(int i=1; i<3; ++i) { if(orientation(vt1, vt2, triangle2.vertex(i)) != or_s) { mindist = FT(0); break; } } } else { const Point_2& vt1 = triangle2.vertex(ind2_1); const Point_2& vt2 = triangle2.vertex(ind2_2); const Orientation or_s = orientation(vt1, vt2, triangle1.vertex(0)); for(int i=1; i<3; ++i) { if(orientation(vt1, vt2, triangle1.vertex(i)) != or_s) { mindist = FT(0); break; } } } return mindist; } } // namespace internal template inline typename K::FT squared_distance(const Triangle_2& triangle1, const Triangle_2& triangle2) { return K().compute_squared_distance_2_object()(triangle1, triangle2); } } // namespace CGAL #endif // CGAL_DISTANCE_2_TRIANGLE_2_TRIANGLE_2_H