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// Copyright (c) 1997-2000 Max-Planck-Institute Saarbruecken (Germany). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Convex_hull_d/include/CGAL/Convex_hull_d_traits_3.h $ // $Id: include/CGAL/Convex_hull_d_traits_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Michael Seel #ifndef CGAL_CONVEX_HULL_D_TRAITS_3_H #define CGAL_CONVEX_HULL_D_TRAITS_3_H #include #define CGAL_DEPRECATED_HEADER "" #define CGAL_DEPRECATED_MESSAGE_DETAILS \ "The Triangulation package (see https://doc.cgal.org/latest/Triangulation) should be used instead." #include #include #include #include #include #include #include #include #include #include #include namespace CGAL { template struct Convex_hull_d_traits_3 { typedef R_ R; typedef typename R_::RT RT; typedef typename R_::FT FT; typedef typename R_::Point_3 Point_d; typedef typename R_::Plane_3 Hyperplane_d; typedef typename R_::Vector_3 Vector_d; typedef typename R_::Ray_3 Ray_d; typedef typename R::Oriented_side_3 Oriented_side_d; Oriented_side_d oriented_side_d_object() const { return Oriented_side_d(); } typedef typename R::Has_on_positive_side_3 Has_on_positive_side_d; Has_on_positive_side_d has_on_positive_side_d_object() const { return Has_on_positive_side_d(); } struct Orientation_d { template Orientation operator()(I s, I e) { CGAL_USE(e); Point_d A[4]; CGAL_assertion(s != e); A[0] = *s; ++s; CGAL_assertion(s != e); A[1] = *s; ++s; CGAL_assertion(s != e); A[2] = *s; ++s; CGAL_assertion(s != e); A[3] = *s; ++s; CGAL_assertion(s == e); return orientation(A[0],A[1],A[2],A[3]); } }; Orientation_d orientation_d_object() const { return Orientation_d(); } struct Affinely_independent_d { template bool operator()(I s, I e) { Point_d A[4]; CGAL_assertion(s != e); A[0] = *s; ++s; if(s == e){ return true; } A[1] = *s; ++s; if (s == e){ return A[0] != A[1]; } A[2] = *s; ++s; if (s == e){ return ! collinear( A[0], A[1], A[2] ); } A[3] = *s; ++s; if (s == e){ return !coplanar( A[0], A[1], A[2], A[3] ); } return false; } }; Affinely_independent_d affinely_independent_d_object() const { return Affinely_independent_d(); } struct Contained_in_simplex_d { template bool operator()(I s, I e, const Point_d& p) { Point_d A[4]; CGAL_assertion(s != e); A[0] = *s; ++s; if(s == e){ return A[0] == p; } A[1] = *s; ++s; if (s == e){ typename R_::Segment_3 s( A[0], A[1] ); return s.has_on(p); } A[2] = *s; ++s; if (s == e){ typename R_::Triangle_3 t( A[0], A[1], A[2] ); return t.has_on(p); } A[3] = *s; ++s; if (s == e){ typename R_::Tetrahedron_3 t( A[0], A[1], A[2], A[3] ); return !t.has_on_unbounded_side(p); } return false; // should be unreachable ! } }; Contained_in_simplex_d contained_in_simplex_d_object() const { return Contained_in_simplex_d(); } struct Contained_in_affine_hull_d { template bool operator()(I s, I e, const Point_d& p) { CGAL_assertion_code( Affinely_independent_d affinely_independent; ) CGAL_assertion( affinely_independent(s,e) ); Point_d A[3]; A[0] = *s; ++s; if(s == e){ return p == A[0]; } A[1] = *s; ++s; if (s == e){ return collinear( p, A[0], A[1] ); } A[2] = *s; ++s; if (s == e){ return coplanar( p, A[0], A[1], A[2] ); } return false; } }; Contained_in_affine_hull_d contained_in_affine_hull_d_object() const { return Contained_in_affine_hull_d(); } struct Component_accessor_d { template int dimension(const C& c) const { return c.dimension(); } template RT homogeneous(const C& c, int i) { return c.homogeneous(i); } template FT cartesian(const C& c, int i) { return c.cartesian(i); } }; Component_accessor_d component_accessor_d_object() const { return Component_accessor_d(); } struct Orthogonal_vector_d { Vector_d operator()(const Hyperplane_d& h) const { return h.orthogonal_vector(); } }; Orthogonal_vector_d orthogonal_vector_d_object() const { return Orthogonal_vector_d(); } struct Point_to_vector_d { Vector_d operator()(const Point_d& p) const { return p-CGAL::ORIGIN; } }; Point_to_vector_d point_to_vector_d_object() const { return Point_to_vector_d(); } struct Vector_to_point_d { Point_d operator()(const Vector_d& v) const { return CGAL::ORIGIN+v; } }; Vector_to_point_d vector_to_point_d_object() const { return Vector_to_point_d(); } struct Construct_vector_d { Vector_d operator()(int, Null_vector) const { return Vector_d(NULL_VECTOR); } }; Construct_vector_d construct_vector_d_object() const { return Construct_vector_d(); } struct Construct_hyperplane_d { template Hyperplane_d operator()(I s, I e, const Point_d& p, Oriented_side side) { Hyperplane_d pl; Point_d A[3]; A[0] = *s; ++s; if(s == e){ pl = Hyperplane_d( A[0], A[0] - p); } else { A[1] = *s; ++s; if(s == e){ typename R_::Point_3 hp = A[0] + cross_product( p - A[0], A[1] - A[0] ); pl = Hyperplane_d( A[0], A[1], hp ); } else { A[2] = *s; ++s; if(s == e){ pl = Hyperplane_d( A[0], A[1], A[2] ); } else { CGAL_error(); } } } if (side != 0) { if ( pl.oriented_side(p) != side ) { pl = pl.opposite(); } } return pl; } }; Construct_hyperplane_d construct_hyperplane_d_object() const { return Construct_hyperplane_d(); } typedef typename R::Intersect_3 Intersect_d; Intersect_d intersect_d_object() const { return Intersect_d(); } }; } //namespace CGAL #endif // CGAL_CONVEX_HULL_D_TRAITS_3_H