1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
|
// Copyright (c) 1999
// 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/v6.1.1/Homogeneous_kernel/include/CGAL/Homogeneous/PointH3.h $
// $Id: include/CGAL/Homogeneous/PointH3.h 08b27d3db14 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Stefan Schirra
#ifndef CGAL_HOMOGENEOUS_POINT_3_H
#define CGAL_HOMOGENEOUS_POINT_3_H
#include <CGAL/Origin.h>
#include <boost/mpl/and.hpp>
#include <boost/mpl/logical.hpp>
#include <type_traits>
namespace CGAL {
template < class R_ >
class PointH3
{
typedef typename R_::RT RT;
typedef typename R_::FT FT;
typedef typename R_::Vector_3 Vector_3;
typedef typename R_::Point_3 Point_3;
typedef typename R_::Direction_3 Direction_3;
typedef typename R_::Aff_transformation_3 Aff_transformation_3;
typedef Rational_traits<FT> Rat_traits;
// Reference-counting is handled in Vector_3.
Vector_3 base;
public:
typedef typename Vector_3::Cartesian_const_iterator Cartesian_const_iterator;
typedef R_ R;
PointH3() {}
PointH3(const Origin &)
: base(NULL_VECTOR) {}
template < typename Tx, typename Ty, typename Tz >
PointH3(const Tx & x, const Ty & y, const Tz & z,
std::enable_if_t<std::is_convertible_v<Tx, RT> &&
std::is_convertible_v<Ty, RT> &&
std::is_convertible_v<Tz, RT>>* = 0)
: base(x, y, z) {}
PointH3(const FT& x, const FT& y, const FT& z)
: base(x, y, z) {}
PointH3(const RT& x, const RT& y, const RT& z, const RT& w)
: base(x, y, z, w) {}
FT x() const;
FT y() const;
FT z() const;
const RT & hx() const;
const RT & hy() const;
const RT & hz() const;
const RT & hw() const;
const RT & homogeneous(int i) const;
FT cartesian(int i) const;
FT operator[](int i) const;
Cartesian_const_iterator cartesian_begin() const
{
return base.cartesian_begin();
}
Cartesian_const_iterator cartesian_end() const
{
return base.cartesian_end();
}
int dimension() const;
Direction_3 direction() const;
Point_3 transform( const Aff_transformation_3 & t) const;
typename R::Boolean operator==( const PointH3<R>& p) const;
typename R::Boolean operator!=( const PointH3<R>& p) const;
};
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hx() const
{ return base.hx(); }
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hy() const
{ return base.hy(); }
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hz() const
{ return base.hz(); }
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::hw() const
{ return base.hw(); }
template < class R >
inline
typename PointH3<R>::FT
PointH3<R>::x() const
{ return base.x(); }
template < class R >
inline
typename PointH3<R>::FT
PointH3<R>::y() const
{ return base.y(); }
template < class R >
inline
typename PointH3<R>::FT
PointH3<R>::z() const
{ return base.z(); }
template < class R >
inline
int
PointH3<R>::dimension() const
{ return base.dimension(); }
template < class R >
inline
typename PointH3<R>::FT
PointH3<R>::cartesian(int i) const
{
return base.cartesian(i);
}
template < class R >
inline
const typename PointH3<R>::RT &
PointH3<R>::homogeneous(int i) const
{
return base.homogeneous(i);
}
template < class R >
inline
typename PointH3<R>::FT
PointH3<R>::operator[](int i) const
{
return base[i];
}
template < class R >
inline
typename PointH3<R>::Direction_3
PointH3<R>::direction() const
{ return Direction_3(*this); }
template < class R >
inline
typename R::Boolean
PointH3<R>::operator==( const PointH3<R> & p) const
{
return base == p.base;
}
template < class R >
inline
typename R::Boolean
PointH3<R>::operator!=( const PointH3<R> & p) const
{ return !(*this == p); }
template < class R >
inline
typename R::Point_3
PointH3<R>::transform(const typename PointH3<R>::Aff_transformation_3& t) const
{ return t.transform(static_cast<const Point_3&>(*this)); }
} //namespace CGAL
#endif // CGAL_HOMOGENEOUS_POINT_3_H
|
