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
200
201
202
203
204
205
|
// Copyright (c) 2014
// INRIA Saclay-Ile de France (France)
//
// 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.
//
// $URL$
// $Id$
//
// Author(s) : Marc Glisse
#ifndef CGAL_KD_TYPE_WP_H
#define CGAL_KD_TYPE_WP_H
#include <CGAL/NewKernel_d/store_kernel.h>
#include <boost/iterator/counting_iterator.hpp>
namespace CGAL {
namespace KerD {
template <class R_> class Weighted_point {
typedef typename Get_type<R_, FT_tag>::type FT_;
typedef typename Get_type<R_, Point_tag>::type Point_;
Point_ c_;
FT_ w_;
public:
Weighted_point(Point_ const&p, FT_ const&w): c_(p), w_(w) {}
// TODO: Add a piecewise constructor?
Point_ const& point()const{return c_;}
FT_ const& weight()const{return w_;}
};
}
namespace CartesianDKernelFunctors {
template <class R_> struct Construct_weighted_point : Store_kernel<R_> {
CGAL_FUNCTOR_INIT_STORE(Construct_weighted_point)
typedef typename Get_type<R_, Weighted_point_tag>::type result_type;
typedef typename Get_type<R_, Point_tag>::type Point;
typedef typename Get_type<R_, FT_tag>::type FT;
result_type operator()(Point const&a, FT const&b)const{
return result_type(a,b);
}
// Not really needed
result_type operator()()const{
typename Get_functor<R_, Construct_ttag<Point_tag> >::type cp(this->kernel());
return result_type(cp(),0);
}
};
template <class R_> struct Point_drop_weight {
CGAL_FUNCTOR_INIT_IGNORE(Point_drop_weight)
typedef typename Get_type<R_, Weighted_point_tag>::type argument_type;
typedef typename Get_type<R_, Point_tag>::type const& result_type;
// Returning a reference is fragile
result_type operator()(argument_type const&s)const{
return s.point();
}
};
template <class R_> struct Point_weight {
CGAL_FUNCTOR_INIT_IGNORE(Point_weight)
typedef typename Get_type<R_, Weighted_point_tag>::type argument_type;
typedef typename Get_type<R_, FT_tag>::type result_type;
result_type operator()(argument_type const&s)const{
return s.weight();
}
};
template <class R_> struct Power_distance : private Store_kernel<R_> {
CGAL_FUNCTOR_INIT_STORE(Power_distance)
typedef typename Get_type<R_, Weighted_point_tag>::type first_argument_type;
typedef first_argument_type second_argument_type;
typedef typename Get_type<R_, FT_tag>::type result_type;
result_type operator()(first_argument_type const&a, second_argument_type const&b)const{
typename Get_functor<R_, Point_drop_weight_tag>::type pdw(this->kernel());
typename Get_functor<R_, Point_weight_tag>::type pw(this->kernel());
typename Get_functor<R_, Squared_distance_tag>::type sd(this->kernel());
return sd(pdw(a),pdw(b))-pw(a)-pw(b);
}
};
template <class R_> struct Power_distance_to_point : private Store_kernel<R_> {
CGAL_FUNCTOR_INIT_STORE(Power_distance_to_point)
typedef typename Get_type<R_, Weighted_point_tag>::type first_argument_type;
typedef typename Get_type<R_, Point_tag>::type second_argument_type;
typedef typename Get_type<R_, FT_tag>::type result_type;
result_type operator()(first_argument_type const&a, second_argument_type const&b)const{
typename Get_functor<R_, Point_drop_weight_tag>::type pdw(this->kernel());
typename Get_functor<R_, Point_weight_tag>::type pw(this->kernel());
typename Get_functor<R_, Squared_distance_tag>::type sd(this->kernel());
return sd(pdw(a),b)-pw(a);
}
};
template<class R_> struct Power_side_of_power_sphere : private Store_kernel<R_> {
CGAL_FUNCTOR_INIT_STORE(Power_side_of_power_sphere)
typedef R_ R;
typedef typename Get_type<R, Oriented_side_tag>::type result_type;
template<class Iter, class Pt>
result_type operator()(Iter const& f, Iter const& e, Pt const& p0) const {
typename Get_functor<R, Power_side_of_power_sphere_raw_tag>::type ptr(this->kernel());
typename Get_functor<R, Point_drop_weight_tag>::type pdw(this->kernel());
typename Get_functor<R, Point_weight_tag>::type pw(this->kernel());
return ptr (
make_transforming_iterator (f, pdw),
make_transforming_iterator (e, pdw),
make_transforming_iterator (f, pw),
pdw (p0),
pw (p0));
}
};
template<class R_> struct In_flat_power_side_of_power_sphere : private Store_kernel<R_> {
CGAL_FUNCTOR_INIT_STORE(In_flat_power_side_of_power_sphere)
typedef R_ R;
typedef typename Get_type<R, Oriented_side_tag>::type result_type;
template<class Fo, class Iter, class Pt>
result_type operator()(Fo const& fo, Iter const& f, Iter const& e, Pt const& p0) const {
typename Get_functor<R, In_flat_power_side_of_power_sphere_raw_tag>::type ptr(this->kernel());
typename Get_functor<R, Point_drop_weight_tag>::type pdw(this->kernel());
typename Get_functor<R, Point_weight_tag>::type pw(this->kernel());
return ptr (
fo,
make_transforming_iterator (f, pdw),
make_transforming_iterator (e, pdw),
make_transforming_iterator (f, pw),
pdw (p0),
pw (p0));
}
};
// Construct a point at (weighted) distance 0 from all the input
template <class R_> struct Power_center : Store_kernel<R_> {
CGAL_FUNCTOR_INIT_STORE(Power_center)
typedef typename Get_type<R_, Weighted_point_tag>::type WPoint;
typedef WPoint result_type;
typedef typename Get_type<R_, Point_tag>::type Point;
typedef typename Get_type<R_, FT_tag>::type FT;
template <class Iter>
result_type operator()(Iter f, Iter e)const{
// 2*(x-y).c == (x^2-wx^2)-(y^2-wy^2)
typedef typename R_::LA LA;
typedef typename LA::Square_matrix Matrix;
typedef typename LA::Vector Vec;
typedef typename LA::Construct_vector CVec;
typename Get_functor<R_, Compute_point_cartesian_coordinate_tag>::type c(this->kernel());
typename Get_functor<R_, Construct_ttag<Point_tag> >::type cp(this->kernel());
typename Get_functor<R_, Point_dimension_tag>::type pd(this->kernel());
typename Get_functor<R_, Squared_distance_to_origin_tag>::type sdo(this->kernel());
typename Get_functor<R_, Power_distance_to_point_tag>::type pdp(this->kernel());
typename Get_functor<R_, Point_drop_weight_tag>::type pdw(this->kernel());
typename Get_functor<R_, Point_weight_tag>::type pw(this->kernel());
typename Get_functor<R_, Construct_ttag<Weighted_point_tag> >::type cwp(this->kernel());
WPoint const& wp0 = *f;
Point const& p0 = pdw(wp0);
int d = pd(p0);
FT const& n0 = sdo(p0) - pw(wp0);
Matrix m(d,d);
Vec b = typename CVec::Dimension()(d);
// Write the point coordinates in lines.
int i;
for(i=0; ++f!=e; ++i) {
WPoint const& wp=*f;
Point const& p=pdw(wp);
FT const& np = sdo(p) - pw(wp);
for(int j=0;j<d;++j) {
m(i,j)=2*(c(p,j)-c(p0,j));
b[i] = np - n0;
}
}
CGAL_assertion (i == d);
Vec res = typename CVec::Dimension()(d);;
//std::cout << "Mat: " << m << "\n Vec: " << one << std::endl;
LA::solve(res, CGAL_MOVE(m), CGAL_MOVE(b));
//std::cout << "Sol: " << res << std::endl;
Point center = cp(d,LA::vector_begin(res),LA::vector_end(res));
FT const& r2 = pdp (wp0, center);
return cwp(CGAL_MOVE(center), r2);
}
};
}
CGAL_KD_DEFAULT_TYPE(Weighted_point_tag,(CGAL::KerD::Weighted_point<K>),(Point_tag),());
CGAL_KD_DEFAULT_FUNCTOR(Construct_ttag<Weighted_point_tag>,(CartesianDKernelFunctors::Construct_weighted_point<K>),(Weighted_point_tag,Point_tag),());
CGAL_KD_DEFAULT_FUNCTOR(Point_drop_weight_tag,(CartesianDKernelFunctors::Point_drop_weight<K>),(Weighted_point_tag,Point_tag),());
CGAL_KD_DEFAULT_FUNCTOR(Point_weight_tag,(CartesianDKernelFunctors::Point_weight<K>),(Weighted_point_tag,Point_tag),());
CGAL_KD_DEFAULT_FUNCTOR(Power_side_of_power_sphere_tag,(CartesianDKernelFunctors::Power_side_of_power_sphere<K>),(Weighted_point_tag),(Power_side_of_power_sphere_raw_tag,Point_drop_weight_tag,Point_weight_tag));
CGAL_KD_DEFAULT_FUNCTOR(In_flat_power_side_of_power_sphere_tag,(CartesianDKernelFunctors::In_flat_power_side_of_power_sphere<K>),(Weighted_point_tag),(In_flat_power_side_of_power_sphere_raw_tag,Point_drop_weight_tag,Point_weight_tag));
CGAL_KD_DEFAULT_FUNCTOR(Power_distance_tag,(CartesianDKernelFunctors::Power_distance<K>),(Weighted_point_tag,Point_tag),(Squared_distance_tag,Point_drop_weight_tag,Point_weight_tag));
CGAL_KD_DEFAULT_FUNCTOR(Power_distance_to_point_tag,(CartesianDKernelFunctors::Power_distance_to_point<K>),(Weighted_point_tag,Point_tag),(Squared_distance_tag,Point_drop_weight_tag,Point_weight_tag));
CGAL_KD_DEFAULT_FUNCTOR(Power_center_tag,(CartesianDKernelFunctors::Power_center<K>),(Weighted_point_tag,Point_tag),(Compute_point_cartesian_coordinate_tag,Construct_ttag<Point_tag>,Construct_ttag<Weighted_point_tag>,Point_dimension_tag,Squared_distance_to_origin_tag,Point_drop_weight_tag,Point_weight_tag,Power_distance_to_point_tag));
} // namespace CGAL
#endif
|
