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
|
// Copyright (c) 2000
// 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); 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; either version 3 of the License,
// or (at your option) any later version.
//
// 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/next/Cartesian_kernel/include/CGAL/Cartesian/Translation_rep_2.h $
// $Id: Translation_rep_2.h 67093 2012-01-13 11:22:39Z lrineau $
//
//
// Author(s) : Andreas Fabri, Herve Bronnimann
#ifndef CGAL_CARTESIAN_TRANSLATION_REP_2_H
#define CGAL_CARTESIAN_TRANSLATION_REP_2_H
namespace CGAL {
template < class R >
class Translation_repC2 : public Aff_transformation_rep_baseC2<R>
{
friend class Aff_transformation_repC2<R>;
friend class Rotation_repC2<R>;
friend class Scaling_repC2<R>;
public:
typedef typename R::FT FT;
typedef Aff_transformation_rep_baseC2<R> Aff_t_base;
typedef Aff_transformation_repC2<R> Transformation;
typedef Translation_repC2<R> Translation;
typedef Rotation_repC2<R> Rotation;
typedef Scaling_repC2<R> Scaling;
typedef typename Aff_t_base::Point_2 Point_2;
typedef typename Aff_t_base::Vector_2 Vector_2;
typedef typename Aff_t_base::Direction_2 Direction_2;
typedef typename Aff_t_base::Aff_transformation_2 Aff_transformation_2;
Translation_repC2() {}
Translation_repC2(const Vector_2 &tv)
: translationvector_(tv)
{}
Point_2 transform(const Point_2 &p) const
{
typename R::Construct_translated_point_2 translated_point;
return translated_point(p, translationvector_);
}
Vector_2 transform(const Vector_2 &v) const { return v; }
Direction_2 transform(const Direction_2 &d) const { return d; }
Aff_transformation_2 operator*(const Aff_t_base &t) const
{
return t.compose(*this);
}
Aff_transformation_2 compose(const Translation &t) const
{
return Aff_transformation_2(TRANSLATION,
translationvector_ + t.translationvector_);
}
Aff_transformation_2 compose(const Rotation &t) const
{
return Aff_transformation_2(t.cosinus_,
-t.sinus_,
t.cosinus_*translationvector_.x() -
t.sinus_*translationvector_.y(),
t.sinus_,
t.cosinus_,
t.sinus_*translationvector_.x() +
t.cosinus_*translationvector_.y());
}
Aff_transformation_2 compose(const Scaling &t) const
{
return Aff_transformation_2(t.scalefactor_,
FT(0),
t.scalefactor_*translationvector_.x(),
FT(0),
t.scalefactor_,
t.scalefactor_*translationvector_.y());
}
Aff_transformation_2 compose(const Transformation &t) const
{
return Aff_transformation_2(t.t11,
t.t12,
t.t11 * translationvector_.x()
+ t.t12 * translationvector_.y()
+ t.t13,
t.t21,
t.t22,
t.t21 * translationvector_.x()
+ t.t22*translationvector_.y()
+ t.t23);
}
Aff_transformation_2 inverse() const
{
return Aff_transformation_2(TRANSLATION, - translationvector_);
}
bool is_even() const
{
return true;
}
FT cartesian(int i, int j) const
{
if (j==i) return FT(1);
if (j==2) return translationvector_[i];
return FT(0);
}
std::ostream &print(std::ostream &os) const
{
os << "Aff_transformationC2(VectorC2(" << translationvector_.x() << ", "
<< translationvector_.y() << "))";
return os;
}
private:
Vector_2 translationvector_;
};
} //namespace CGAL
#endif // CGAL_CARTESIAN_TRANSLATION_REP_2_H
|
