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// Copyright (c) 1998-2021 // 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_3/include/CGAL/Distance_3/Point_3_Tetrahedron_3.h $ // $Id: include/CGAL/Distance_3/Point_3_Tetrahedron_3.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Andreas Fabri #ifndef CGAL_DISTANCE_3_POINT_3_TETRAHEDRON_3_H #define CGAL_DISTANCE_3_POINT_3_TETRAHEDRON_3_H #include #include #include namespace CGAL { namespace internal { template inline typename K::FT squared_distance(const typename K::Point_3& pt, const typename K::Tetrahedron_3& tet, const K& k) { typedef typename K::Point_3 Point_3; typename K::Construct_vertex_3 vertex = k.construct_vertex_3_object(); typename K::Orientation_3 orientation = k.orientation_3_object(); bool on_bounded_side = true; const Point_3& t0 = vertex(tet, 0); const Point_3& t1 = vertex(tet, 1); const Point_3& t2 = vertex(tet, 2); const Point_3& t3 = vertex(tet, 3); Orientation ori_tet = orientation(t0,t1,t2,t3); if(ori_tet==COPLANAR){ //Degen Tetrahedron //Get the minimum of three triangles (no need to test the fourth) bool inside = false; typename K::FT dmin = squared_distance_to_triangle(pt, t0, t1, t2, k, inside); if(inside) return dmin; typename K::FT d = squared_distance_to_triangle(pt, t0, t1, t3, k, inside); if(inside) return d; dmin=(std::min)(d,dmin); d = squared_distance_to_triangle(pt, t0, t2, t3, k, inside); return (std::min)(d,dmin); } bool dmin_initialized = false; //dmin_initialized and !on_bounded_side have always the samed value typename K::FT dmin; bool inside = false; if(orientation(pt, t0,t1,t2) == ori_tet) { on_bounded_side = false; dmin = squared_distance_to_triangle(pt, t0, t1, t2, k, inside); dmin_initialized = true; if(inside) return dmin; } if(orientation(pt, t0,t3,t1) == ori_tet) { on_bounded_side = false; const typename K::FT d = squared_distance_to_triangle(pt, t0, t3, t1, k, inside); if(inside) return d; if(!dmin_initialized) { dmin = d; dmin_initialized = true; } else { dmin = (std::min)(d, dmin); } } if(orientation(pt, t1,t3,t2) == ori_tet) { on_bounded_side = false; const typename K::FT d = squared_distance_to_triangle(pt, t1, t3, t2, k, inside); if(inside) return d; if(!dmin_initialized) { dmin = d; dmin_initialized = true; } else { dmin = (std::min)(d, dmin); } } if(orientation(pt, t2,t3,t0) == ori_tet) { on_bounded_side = false; const typename K::FT d = squared_distance_to_triangle(pt, t2, t3, t0, k, inside); if(inside) return d; if(!dmin_initialized) { dmin = d; dmin_initialized = true; } else { dmin = (std::min)(d, dmin); } } if(on_bounded_side) return typename K::FT(0); return dmin; } template inline typename K::FT squared_distance(const typename K::Tetrahedron_3& tet, const typename K::Point_3& pt, const K& k) { return squared_distance(pt, tet, k); } template typename K::Comparison_result compare_squared_distance(const typename K::Point_3& pt, const typename K::Tetrahedron_3& tet, const K& k, const typename K::FT& d2) { typedef typename K::Point_3 Point_3; typename K::Construct_vertex_3 vertex = k.construct_vertex_3_object(); typename K::Orientation_3 orientation = k.orientation_3_object(); /* The content of this function is very similar with the one above, the difference is we can exit earlier if we found a triangle closer than d or plane farther than d since we do not need the exact distance. (there are also early exits in calling functions) */ bool on_bounded_side = true; bool inside_or_far_to_the_plane = false; const Point_3& t0 = vertex(tet, 0); const Point_3& t1 = vertex(tet, 1); const Point_3& t2 = vertex(tet, 2); const Point_3& t3 = vertex(tet, 3); Orientation ori_tet = orientation(t0,t1,t2,t3); if(ori_tet==COPLANAR){ //Degen Tetrahedron //Get the minimum of three triangles (no need to test the fourth) typename K::Comparison_result res = compare_squared_distance_to_triangle(pt, t0, t1, t2, k, d2, inside_or_far_to_the_plane); if(inside_or_far_to_the_plane) return res; typename K::Comparison_result temp_res = compare_squared_distance_to_triangle(pt, t0, t1, t3, k, d2, inside_or_far_to_the_plane); if(inside_or_far_to_the_plane) return temp_res; res=smaller_of(res,temp_res); temp_res = compare_squared_distance_to_triangle(pt, t0, t2, t3, k, d2, inside_or_far_to_the_plane); return smaller_of(res,temp_res); } typename K::Comparison_result res=LARGER; if(orientation(pt, t0,t1,t2) == ori_tet) { on_bounded_side = false; res = compare_squared_distance_to_triangle(pt, t0, t1, t2, k, d2, inside_or_far_to_the_plane); if(inside_or_far_to_the_plane || res==SMALLER) return res; } if(orientation(pt, t0,t3,t1) == ori_tet) { on_bounded_side = false; const typename K::Comparison_result temp_res = compare_squared_distance_to_triangle(pt, t0, t3, t1, k, d2, inside_or_far_to_the_plane); if(inside_or_far_to_the_plane || temp_res==SMALLER) return temp_res; res = smaller_of(res, temp_res); } if(orientation(pt, t1,t3,t2) == ori_tet) { on_bounded_side = false; const typename K::Comparison_result temp_res = compare_squared_distance_to_triangle(pt, t1, t3, t2, k, d2, inside_or_far_to_the_plane); if(inside_or_far_to_the_plane || temp_res==SMALLER) return temp_res; res = smaller_of(res, temp_res); } if(orientation(pt, t2,t3,t0) == ori_tet) { on_bounded_side = false; const typename K::Comparison_result temp_res = compare_squared_distance_to_triangle(pt, t2, t3, t0, k, d2, inside_or_far_to_the_plane); if(inside_or_far_to_the_plane || temp_res==SMALLER) return temp_res; res = smaller_of(res, temp_res); } if(on_bounded_side) return ::CGAL::compare(typename K::FT(0),d2); return res; } template inline typename K::Comparison_result compare_squared_distance(const typename K::Tetrahedron_3& tet, const typename K::Point_3& pt, const K& k, const typename K::FT& d2) { return compare_squared_distance(pt, tet, k, d2); } } // namespace internal } // namespace CGAL #endif // CGAL_DISTANCE_3_POINT_3_TETRAHEDRON_3_H