dust3d/thirdparty/cgal/CGAL-5.1/include/CGAL/Convex_hull_traits_3.h

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// Copyright (c) 2001,2011 Max-Planck-Institute Saarbruecken (Germany).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Convex_hull_3/include/CGAL/Convex_hull_traits_3.h $
// $Id: Convex_hull_traits_3.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Susan Hert <hert@mpi-sb.mpg.de>
#ifndef CGAL_CONVEX_HULL_TRAITS_3_H
#define CGAL_CONVEX_HULL_TRAITS_3_H
#include <CGAL/license/Convex_hull_3.h>
#include <CGAL/Polyhedron_3_fwd.h>
#include <CGAL/Convex_hull_face_base_2.h>
#include <CGAL/Projection_traits_xy_3.h>
#include <CGAL/Projection_traits_xz_3.h>
#include <CGAL/Projection_traits_yz_3.h>
#include <list>
#include <CGAL/Filtered_predicate.h>
#include <CGAL/Cartesian_converter.h>
#include <CGAL/Default.h>
namespace CGAL {
template < class R_ >
class Point_triple
{
protected:
typedef typename R_::FT FT;
typedef typename R_::Point_3 Point_3;
typedef typename R_::Vector_3 Vector_3;
Point_3 p_, q_, r_;
public:
typedef R_ R;
Point_triple() {}
Point_triple(const Point_3 &p, const Point_3 &q, const Point_3 &r)
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: p_(p), q_(q), r_(r)
{}
const Point_3& p() const { return p_; }
const Point_3& q() const { return q_; }
const Point_3& r() const { return r_; }
};
template <class From, class To>
struct Point_triple_converter{
// Point_triple_less_signed_distance_to_plane_3 is only working with a Cartesian Kernel
// so I hardcoded the converter type
CGAL::Cartesian_converter<From, To> base;
Point_triple<To>
operator()(const Point_triple<From>& t) const{
return Point_triple<To>(
base(t.p()),
base(t.q()),
base(t.r()) );
}
typename To::Point_3
operator()(const typename From::Point_3& t) const{
return base(t);
}
};
template <class K>
class Point_triple_has_on_positive_side_3 {
public:
typedef typename K::Point_3 Point_3;
typedef Point_triple<K> Plane_3;
bool
operator()( const Plane_3& pl, const Point_3& p) const
{
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typename K::Orientation_3 o;
return ( o(pl.p(), pl.q(), pl.r(), p) == CGAL::POSITIVE );
}
typedef bool result_type;
};
template <class K, class OldK>
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class Point_triple_construct_orthogonal_vector_3
{
public:
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typedef typename K::Vector_3 Vector_3;
typedef typename K::Plane_3 Plane_3;
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Vector_3 operator()(const Plane_3& plane) const
{
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typename OldK::Construct_orthogonal_vector_3
construct_orthogonal_vector_3;
return construct_orthogonal_vector_3(plane.p(), plane.q(), plane.r());
}
};
template <class K>
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class Point_triple_oriented_side_3
{
public:
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typedef typename K::Point_3 Point_3;
typedef typename K::Plane_3 Plane_3;
typedef Oriented_side result_type;
result_type
operator()( const Plane_3& pl, const Point_3& p) const
{
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typename K::Orientation_3 o;
Orientation ori = o(pl.p(), pl.q(), pl.r(), p) ;
if(ori > 0) return ON_POSITIVE_SIDE;
if(ori < 0) return ON_NEGATIVE_SIDE;
return ON_ORIENTED_BOUNDARY;
}
};
template <typename K>
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class Point_triple_less_signed_distance_to_plane_3
{
public:
typedef typename K::Point_3 Point_3;
typedef Point_triple<K> Plane_3;
typedef bool result_type;
bool
operator()( const Plane_3& h, const Point_3& p, const Point_3& q) const
{
const Point_3& hp = h.p();
const Point_3& hq = h.q();
const Point_3& hr = h.r();
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typename K::Less_signed_distance_to_plane_3 less_signed_distance_to_plane_3;
return less_signed_distance_to_plane_3(hp, hq, hr, p, q);
}
};
template <typename GT>
struct GT3_for_CH3 {
typedef typename GT::Point_3 Point_2;
};
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template <class R_, class Polyhedron = Default,
class Has_filtered_predicates_tag = Boolean_tag
<
boost::is_floating_point<typename R_::FT>::type::value &&
R_::Has_filtered_predicates_tag::value
> >
class Convex_hull_traits_3
{
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public:
typedef R_ R;
typedef Convex_hull_traits_3<R, Polyhedron, Has_filtered_predicates_tag> Self;
typedef typename R::Point_3 Point_3;
typedef typename R::Segment_3 Segment_3;
typedef typename R::Triangle_3 Triangle_3;
typedef Point_triple<R> Plane_3;
typedef typename R::Vector_3 Vector_3;
typedef typename Default::Get<Polyhedron, CGAL::Polyhedron_3<R> >::type Polygon_mesh;
typedef Polygon_mesh Polyhedron_3;
typedef typename R::Construct_segment_3 Construct_segment_3;
typedef typename R::Construct_ray_3 Construct_ray_3;
class Construct_plane_3 {
public:
Plane_3 operator ()(const Point_3& p, const Point_3& q, const Point_3& r)const
{
return Plane_3(p,q,r);
}
};
typedef typename R::Construct_triangle_3 Construct_triangle_3;
typedef typename R::Construct_centroid_3 Construct_centroid_3;
typedef Point_triple_construct_orthogonal_vector_3<Self, R>
Construct_orthogonal_vector_3;
typedef typename R::Equal_3 Equal_3;
typedef typename R::Orientation_3 Orientation_3;
typedef typename R::Collinear_3 Collinear_3;
typedef typename R::Coplanar_3 Coplanar_3;
typedef typename R::Less_distance_to_point_3 Less_distance_to_point_3;
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typedef Point_triple_has_on_positive_side_3<R> Has_on_positive_side_3;
typedef Point_triple_less_signed_distance_to_plane_3<R>
Less_signed_distance_to_plane_3;
// required for degenerate case of all points coplanar
typedef CGAL::Projection_traits_xy_3<R> Traits_xy_3;
typedef CGAL::Projection_traits_yz_3<R> Traits_yz_3;
typedef CGAL::Projection_traits_xz_3<R> Traits_xz_3;
Traits_xy_3 construct_traits_xy_3_object()const
{return Traits_xy_3();}
Traits_yz_3 construct_traits_yz_3_object()const
{return Traits_yz_3();}
Traits_xz_3 construct_traits_xz_3_object()const
{return Traits_xz_3();}
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typedef typename R::Construct_vector_3 Construct_vector_3;
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// for postcondition checking
typedef typename R::Ray_3 Ray_3;
typedef typename R::Has_on_3 Has_on_3;
typedef Point_triple_oriented_side_3<Self> Oriented_side_3;
typedef typename R::Do_intersect_3 Do_intersect_3;
Construct_segment_3
construct_segment_3_object() const
{ return Construct_segment_3(); }
Construct_ray_3
construct_ray_3_object() const
{ return Construct_ray_3(); }
Construct_plane_3
construct_plane_3_object() const
{ return Construct_plane_3(); }
Construct_triangle_3
construct_triangle_3_object() const
{ return Construct_triangle_3(); }
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Construct_centroid_3
construct_centroid_3_object() const
{ return Construct_centroid_3(); }
Construct_orthogonal_vector_3
construct_orthogonal_vector_3_object() const
{ return Construct_orthogonal_vector_3(); }
Collinear_3
collinear_3_object() const
{ return Collinear_3(); }
Coplanar_3
coplanar_3_object() const
{ return Coplanar_3(); }
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Has_on_3
has_on_3_object() const
{ return Has_on_3(); }
Less_distance_to_point_3
less_distance_to_point_3_object() const
{ return Less_distance_to_point_3(); }
Has_on_positive_side_3
has_on_positive_side_3_object() const
{ return Has_on_positive_side_3(); }
Oriented_side_3
oriented_side_3_object() const
{ return Oriented_side_3(); }
Equal_3
equal_3_object() const
{ return Equal_3(); }
Do_intersect_3
do_intersect_3_object() const
{ return Do_intersect_3(); }
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Less_signed_distance_to_plane_3
less_signed_distance_to_plane_3_object() const
{ return Less_signed_distance_to_plane_3(); }
Orientation_3
orientation_3_object() const
{ return Orientation_3(); }
Construct_vector_3
construct_vector_3_object() const
{ return Construct_vector_3(); }
};
} // namespace CGAL
#endif // CGAL_CONVEX_HULL_TRAITS_3_H