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
|
// Copyright (c) 1999 Utrecht University (The Netherlands),
// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
// and Tel-Aviv University (Israel). All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Homogeneous_kernel/include/CGAL/Homogeneous/DirectionH3.h $
// $Id: DirectionH3.h 49057 2009-04-30 14:03:52Z spion $
//
//
// Author(s) : Stefan Schirra
#ifndef CGAL_HOMOGENEOUS_DIRECTION_3_H
#define CGAL_HOMOGENEOUS_DIRECTION_3_H
#include <CGAL/array.h>
CGAL_BEGIN_NAMESPACE
template < class R_ >
class DirectionH3
{
typedef typename R_::RT RT;
typedef typename R_::FT FT;
typedef typename R_::Point_3 Point_3;
typedef typename R_::Vector_3 Vector_3;
typedef typename R_::Segment_3 Segment_3;
typedef typename R_::Line_3 Line_3;
typedef typename R_::Ray_3 Ray_3;
typedef cpp0x::array<RT, 4> Rep;
typedef typename R_::template Handle<Rep>::type Base;
Base base;
public:
typedef R_ R;
DirectionH3() {}
//DirectionH3(const Point_3 & p )
//: base(p) {}
DirectionH3(const Vector_3 & v )
{ *this = v.direction(); }
DirectionH3(const Line_3 & l )
{ *this = l.rep().direction(); }
DirectionH3(const Ray_3 & r )
{ *this = r.direction(); }
DirectionH3(const Segment_3 & s )
{ *this = s.direction(); }
// the fourth argument is not documented. Should go away ?
DirectionH3(const RT& x, const RT& y,
const RT& z, const RT& w = RT(1) )
: base( w >= RT(0) ? CGAL::make_array(x, y, z, w)
: CGAL::make_array<RT>(-x, -y, -z, -w) ) {}
bool is_degenerate() const;
bool operator==( const DirectionH3<R>& d) const;
bool operator!=( const DirectionH3<R>& d) const;
Vector_3 to_vector() const;
Vector_3 vector() const { return to_vector(); }
const RT & dx() const { return get(base)[0]; }
const RT & dy() const { return get(base)[1]; }
const RT & dz() const { return get(base)[2]; }
const RT & x() const { return get(base)[0]; }
const RT & y() const { return get(base)[1]; }
const RT & z() const { return get(base)[2]; }
const RT & hx() const { return get(base)[0]; }
const RT & hy() const { return get(base)[1]; }
const RT & hz() const { return get(base)[2]; }
};
template <class R >
CGAL_KERNEL_INLINE
bool
DirectionH3<R>::operator==( const DirectionH3<R>& d) const
{
return ( ( hx()*d.hy() == hy()*d.hx() )
&&( hx()*d.hz() == hz()*d.hx() )
&&( hy()*d.hz() == hz()*d.hy() )
&&( CGAL_NTS sign( hx() ) == CGAL_NTS sign( d.hx() ) )
&&( CGAL_NTS sign( hy() ) == CGAL_NTS sign( d.hy() ) )
&&( CGAL_NTS sign( hz() ) == CGAL_NTS sign( d.hz() ) ) );
}
template <class R >
inline
bool
DirectionH3<R>::operator!=( const DirectionH3<R>& d) const
{ return !operator==(d); }
template <class R >
CGAL_KERNEL_INLINE
bool
DirectionH3<R>::is_degenerate() const
{ return ((hx() == RT(0)) && (hy() == RT(0)) && (hz() == RT(0))); }
template <class R >
inline
typename DirectionH3<R>::Vector_3
DirectionH3<R>::to_vector() const
{ return Vector_3(dx(), dy(), dz(), RT(1)); }
template <class R>
CGAL_KERNEL_INLINE
DirectionH3<R>
cross_product( const DirectionH3<R>& d1,
const DirectionH3<R>& d2)
{ return cross_product(d1.to_vector(),d2.to_vector()).direction(); }
CGAL_END_NAMESPACE
#endif // CGAL_HOMOGENEOUS_DIRECTION_3_H
|
