329 lines
9.9 KiB
C
329 lines
9.9 KiB
C
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// Copyright (c) 2001,2011 Max-Planck-Institute Saarbruecken (Germany).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0+
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//
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//
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// Author(s) : Susan Hert <hert@mpi-sb.mpg.de>
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#ifndef CGAL_CONVEX_HULL_TRAITS_3_H
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#define CGAL_CONVEX_HULL_TRAITS_3_H
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#include <CGAL/license/Convex_hull_3.h>
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#include <CGAL/Polyhedron_3_fwd.h>
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#include <CGAL/Convex_hull_face_base_2.h>
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#include <CGAL/Projection_traits_xy_3.h>
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#include <CGAL/Projection_traits_xz_3.h>
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#include <CGAL/Projection_traits_yz_3.h>
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#include <list>
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#include <CGAL/Filtered_predicate.h>
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#include <CGAL/Cartesian_converter.h>
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#include <CGAL/Default.h>
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namespace CGAL {
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template < class R_ >
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class Point_triple
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{
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protected:
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typedef typename R_::FT FT;
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typedef typename R_::Point_3 Point_3;
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typedef typename R_::Vector_3 Vector_3;
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Point_3 p_, q_, r_;
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public:
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typedef R_ R;
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Point_triple() {}
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Point_triple(const Point_3 &p, const Point_3 &q, const Point_3 &r)
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: p_(p), q_(q), r_(r)
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{}
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const Point_3& p() const { return p_; }
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const Point_3& q() const { return q_; }
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const Point_3& r() const { return r_; }
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};
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template <class From, class To>
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struct Point_triple_converter{
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// Point_triple_less_signed_distance_to_plane_3 is only working with a Cartesian Kernel
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// so I hardcoded the converter type
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CGAL::Cartesian_converter<From, To> base;
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Point_triple<To>
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operator()(const Point_triple<From>& t) const{
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return Point_triple<To>(
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base(t.p()),
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base(t.q()),
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base(t.r()) );
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}
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typename To::Point_3
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operator()(const typename From::Point_3& t) const{
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return base(t);
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}
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};
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template <class K>
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class Point_triple_has_on_positive_side_3 {
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public:
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typedef typename K::Point_3 Point_3;
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typedef Point_triple<K> Plane_3;
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bool
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operator()( const Plane_3& pl, const Point_3& p) const
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{
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typename K::Orientation_3 o;
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return ( o(pl.p(), pl.q(), pl.r(), p) == CGAL::POSITIVE );
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}
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typedef bool result_type;
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};
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template <class K, class OldK>
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class Point_triple_construct_orthogonal_vector_3
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{
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public:
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typedef typename K::Vector_3 Vector_3;
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typedef typename K::Plane_3 Plane_3;
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Vector_3 operator()(const Plane_3& plane) const
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{
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typename OldK::Construct_orthogonal_vector_3
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construct_orthogonal_vector_3;
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return construct_orthogonal_vector_3(plane.p(), plane.q(), plane.r());
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}
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};
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template <class K>
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class Point_triple_oriented_side_3
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{
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public:
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typedef typename K::Point_3 Point_3;
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typedef typename K::Plane_3 Plane_3;
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typedef Oriented_side result_type;
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result_type
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operator()( const Plane_3& pl, const Point_3& p) const
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{
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typename K::Orientation_3 o;
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Orientation ori = o(pl.p(), pl.q(), pl.r(), p) ;
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if(ori > 0) return ON_POSITIVE_SIDE;
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if(ori < 0) return ON_NEGATIVE_SIDE;
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return ON_ORIENTED_BOUNDARY;
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}
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};
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template <typename K>
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class Point_triple_less_signed_distance_to_plane_3
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{
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public:
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typedef typename K::Point_3 Point_3;
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typedef Point_triple<K> Plane_3;
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typedef bool result_type;
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bool
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operator()( const Plane_3& h, const Point_3& p, const Point_3& q) const
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{
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const Point_3& hp = h.p();
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const Point_3& hq = h.q();
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const Point_3& hr = h.r();
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//typename OldK::Less_signed_distance_to_plane_3
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// less_signed_distance_to_plane_3;
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// return less_signed_distance_to_plane_3(hp, hq, hr, p, q);
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return has_smaller_signed_dist_to_planeC3(hp.x(), hp.y(), hp.z(),
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hq.x(), hq.y(), hq.z(),
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hr.x(), hr.y(), hr.z(),
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p.x(), p.y(), p.z(),
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q.x(), q.y(), q.z());
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}
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};
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template <typename GT>
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struct GT3_for_CH3 {
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typedef typename GT::Point_3 Point_2;
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};
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template <class R_, class Has_filtered_predicates_tag /* = Tag_false */>
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struct Convex_hull_traits_base_3 {
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typedef Point_triple_has_on_positive_side_3<R_> Has_on_positive_side_3;
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typedef Point_triple_less_signed_distance_to_plane_3<R_>
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Less_signed_distance_to_plane_3;
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};
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template <class R_>
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struct Convex_hull_traits_base_3<R_, Tag_true>{
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typedef Filtered_predicate<
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Point_triple_has_on_positive_side_3< typename R_::Exact_kernel_rt >,
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Point_triple_has_on_positive_side_3< typename R_::Approximate_kernel >,
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Point_triple_converter<R_,typename R_::Exact_kernel_rt>,
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Point_triple_converter<R_,typename R_::Approximate_kernel>
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> Has_on_positive_side_3;
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typedef Filtered_predicate<
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Point_triple_less_signed_distance_to_plane_3< typename R_::Exact_kernel_rt >,
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Point_triple_less_signed_distance_to_plane_3< typename R_::Approximate_kernel >,
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Point_triple_converter<R_,typename R_::Exact_kernel_rt>,
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Point_triple_converter<R_,typename R_::Approximate_kernel>
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> Less_signed_distance_to_plane_3;
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};
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template <class R_, class Polyhedron = Default, class Has_filtered_predicates_tag = Tag_false>
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class Convex_hull_traits_3 :
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public Convex_hull_traits_base_3<R_, Has_filtered_predicates_tag>
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{
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public:
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typedef R_ R;
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typedef Convex_hull_traits_3<R, Polyhedron, Has_filtered_predicates_tag> Self;
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typedef typename R::Point_3 Point_3;
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typedef typename R::Segment_3 Segment_3;
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typedef typename R::Triangle_3 Triangle_3;
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typedef Point_triple<R> Plane_3;
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typedef typename R::Vector_3 Vector_3;
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typedef typename Default::Get<Polyhedron, CGAL::Polyhedron_3<R> >::type Polygon_mesh;
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typedef Polygon_mesh Polyhedron_3;
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typedef typename R::Construct_segment_3 Construct_segment_3;
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typedef typename R::Construct_ray_3 Construct_ray_3;
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class Construct_plane_3 {
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public:
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Plane_3 operator ()(const Point_3& p, const Point_3& q, const Point_3& r)const
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{
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return Plane_3(p,q,r);
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}
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};
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typedef typename R::Construct_triangle_3 Construct_triangle_3;
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typedef typename R::Construct_centroid_3 Construct_centroid_3;
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typedef Point_triple_construct_orthogonal_vector_3<Self, R>
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Construct_orthogonal_vector_3;
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typedef typename R::Equal_3 Equal_3;
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typedef typename R::Orientation_3 Orientation_3;
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typedef typename R::Collinear_3 Collinear_3;
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typedef typename R::Coplanar_3 Coplanar_3;
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typedef typename R::Less_distance_to_point_3 Less_distance_to_point_3;
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typedef typename Convex_hull_traits_base_3<R_, Has_filtered_predicates_tag>
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::Has_on_positive_side_3 Has_on_positive_side_3;
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typedef typename Convex_hull_traits_base_3<R_, Has_filtered_predicates_tag>
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::Less_signed_distance_to_plane_3 Less_signed_distance_to_plane_3;
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// required for degenerate case of all points coplanar
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typedef CGAL::Projection_traits_xy_3<R> Traits_xy_3;
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typedef CGAL::Projection_traits_yz_3<R> Traits_yz_3;
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typedef CGAL::Projection_traits_xz_3<R> Traits_xz_3;
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Traits_xy_3 construct_traits_xy_3_object()const
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{return Traits_xy_3();}
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Traits_yz_3 construct_traits_yz_3_object()const
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{return Traits_yz_3();}
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Traits_xz_3 construct_traits_xz_3_object()const
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{return Traits_xz_3();}
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typedef typename R::Construct_vector_3 Construct_vector_3;
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// for postcondition checking
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typedef typename R::Ray_3 Ray_3;
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typedef typename R::Has_on_3 Has_on_3;
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typedef Point_triple_oriented_side_3<Self> Oriented_side_3;
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typedef typename R::Do_intersect_3 Do_intersect_3;
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Construct_segment_3
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construct_segment_3_object() const
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{ return Construct_segment_3(); }
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Construct_ray_3
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construct_ray_3_object() const
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{ return Construct_ray_3(); }
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Construct_plane_3
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construct_plane_3_object() const
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{ return Construct_plane_3(); }
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Construct_triangle_3
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construct_triangle_3_object() const
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{ return Construct_triangle_3(); }
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Construct_centroid_3
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construct_centroid_3_object() const
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{ return Construct_centroid_3(); }
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Construct_orthogonal_vector_3
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construct_orthogonal_vector_3_object() const
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{ return Construct_orthogonal_vector_3(); }
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Collinear_3
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collinear_3_object() const
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{ return Collinear_3(); }
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Coplanar_3
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coplanar_3_object() const
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{ return Coplanar_3(); }
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Has_on_3
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has_on_3_object() const
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{ return Has_on_3(); }
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Less_distance_to_point_3
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less_distance_to_point_3_object() const
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{ return Less_distance_to_point_3(); }
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Has_on_positive_side_3
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has_on_positive_side_3_object() const
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{ return Has_on_positive_side_3(); }
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Oriented_side_3
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oriented_side_3_object() const
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{ return Oriented_side_3(); }
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Equal_3
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equal_3_object() const
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{ return Equal_3(); }
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Do_intersect_3
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do_intersect_3_object() const
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{ return Do_intersect_3(); }
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Less_signed_distance_to_plane_3
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less_signed_distance_to_plane_3_object() const
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{ return Less_signed_distance_to_plane_3(); }
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Orientation_3
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orientation_3_object() const
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{ return Orientation_3(); }
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Construct_vector_3
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construct_vector_3_object() const
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{ return Construct_vector_3(); }
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};
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} // namespace CGAL
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#endif // CGAL_CONVEX_HULL_TRAITS_3_H
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