/usr/include/CGAL/Homogeneous/distance_predicatesH2.h is in libcgal-dev 4.11-2build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 | // 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); 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) : Stefan Schirra
#ifndef CGAL_DISTANCE_PREDICATESH2_H
#define CGAL_DISTANCE_PREDICATESH2_H
#include <CGAL/determinant.h>
namespace CGAL {
template < class R>
CGAL_KERNEL_MEDIUM_INLINE
bool
has_larger_distance_to_point(const PointH2<R>& p,
const PointH2<R>& q,
const PointH2<R>& r)
{
typedef typename R::RT RT;
const RT phx = p.hx();
const RT phy = p.hy();
const RT phw = p.hw();
const RT qhx = q.hx();
const RT qhy = q.hy();
const RT qhw = q.hw();
const RT rhx = r.hx();
const RT rhy = r.hy();
const RT rhw = r.hw();
const RT RT0 = RT(0);
const RT RT2 = RT(2);
RT dosd = // difference of squared distances
// phx * phx * qhw * qhw * rhw * rhw
// -RT(2) * phx * qhx * phw * qhw * rhw * rhw
// + qhx * qhx * phw * phw * rhw * rhw
//
// + phy * phy * qhw * qhw * rhw * rhw
// -RT(2) * phy * qhy * phw * qhw * rhw * rhw
// + qhy * qhy * phw * phw * rhw * rhw
//
// - ( phx * phx * qhw * qhw * rhw * rhw
// -RT(2) * phx * rhx * phw * qhw * qhw * rhw
// + rhx * rhx * phw * phw * qhw * qhw
//
// + phy * phy * qhw * qhw * rhw * rhw
// -RT(2) * phy * rhy * phw * qhw * qhw * rhw
// + rhy * rhy * phw * phw * qhw * qhw
rhw*rhw * ( phw * ( qhx*qhx + qhy*qhy )
- RT2 * qhw * ( phx*qhx + phy*qhy )
)
- qhw*qhw * ( phw * ( rhx*rhx + rhy*rhy )
- RT2 * rhw * ( phx*rhx + phy*rhy )
);
return ( dosd > RT0 );
}
template < class R>
CGAL_KERNEL_INLINE
Comparison_result
compare_signed_distance_to_line(const LineH2<R>& l,
const PointH2<R>& p,
const PointH2<R>& q)
{
typedef typename R::RT RT;
const RT la = l.a();
const RT lb = l.b();
const RT phx= p.hx();
const RT phy= p.hy();
const RT phw= p.hw();
const RT qhx= q.hx();
const RT qhy= q.hy();
const RT qhw= q.hw();
const RT RT0 = RT(0);
RT scaled_dist_p_minus_scaled_dist_q =
la*( phx*qhw - qhx*phw )
+ lb*( phy*qhw - qhy*phw );
if ( scaled_dist_p_minus_scaled_dist_q < RT0 )
{
return SMALLER;
}
else
{
return ( RT0 < scaled_dist_p_minus_scaled_dist_q ) ?
LARGER : EQUAL;
}
}
template < class R>
CGAL_KERNEL_INLINE
bool
has_larger_signed_distance_to_line(const LineH2<R>& l,
const PointH2<R>& p,
const PointH2<R>& q)
{
typedef typename R::RT RT;
const RT la = l.a();
const RT lb = l.b();
const RT phx= p.hx();
const RT phy= p.hy();
const RT phw= p.hw();
const RT qhx= q.hx();
const RT qhy= q.hy();
const RT qhw= q.hw();
const RT RT0 = RT(0);
RT scaled_dist_p_minus_scaled_dist_q =
la*( phx*qhw - qhx*phw )
+ lb*( phy*qhw - qhy*phw );
return ( scaled_dist_p_minus_scaled_dist_q > RT0 );
}
template < class R>
CGAL_KERNEL_INLINE
bool
has_smaller_signed_distance_to_line(const LineH2<R>& l,
const PointH2<R>& p,
const PointH2<R>& q)
{
typedef typename R::RT RT;
const RT la = l.a();
const RT lb = l.b();
const RT phx= p.hx();
const RT phy= p.hy();
const RT phw= p.hw();
const RT qhx= q.hx();
const RT qhy= q.hy();
const RT qhw= q.hw();
const RT RT0 = RT(0);
RT scaled_dist_p_minus_scaled_dist_q =
la*( phx*qhw - qhx*phw )
+ lb*( phy*qhw - qhy*phw );
return ( scaled_dist_p_minus_scaled_dist_q < RT0 );
}
template < class R>
CGAL_KERNEL_MEDIUM_INLINE
Comparison_result
compare_signed_distance_to_line(const PointH2<R>& p,
const PointH2<R>& q,
const PointH2<R>& r,
const PointH2<R>& s)
{
typedef typename R::RT RT;
const RT phx= p.hx();
const RT phy= p.hy();
const RT phw= p.hw();
const RT qhx= q.hx();
const RT qhy= q.hy();
const RT qhw= q.hw();
const RT rhx= r.hx();
const RT rhy= r.hy();
const RT rhw= r.hw();
const RT shx= s.hx();
const RT shy= s.hy();
const RT shw= s.hw();
const RT RT0 = RT(0);
RT scaled_dist_r_minus_scaled_dist_s =
( rhx*shw - shx*rhw ) * (phy*qhw - qhy*phw)
- ( rhy*shw - shy*rhw ) * (phx*qhw - qhx*phw);
if ( scaled_dist_r_minus_scaled_dist_s < RT0 )
{
return SMALLER;
}
else
{
return (scaled_dist_r_minus_scaled_dist_s > RT0 ) ?
LARGER : EQUAL;
}
}
template < class R>
CGAL_KERNEL_MEDIUM_INLINE
bool
has_smaller_signed_distance_to_line(const PointH2<R>& p,
const PointH2<R>& q,
const PointH2<R>& r,
const PointH2<R>& s)
{
typedef typename R::RT RT;
const RT phx= p.hx();
const RT phy= p.hy();
const RT phw= p.hw();
const RT qhx= q.hx();
const RT qhy= q.hy();
const RT qhw= q.hw();
const RT rhx= r.hx();
const RT rhy= r.hy();
const RT rhw= r.hw();
const RT shx= s.hx();
const RT shy= s.hy();
const RT shw= s.hw();
const RT RT0 = RT(0);
RT scaled_dist_r_minus_scaled_dist_s =
( rhx*shw - shx*rhw ) * (phy*qhw - qhy*phw)
- ( rhy*shw - shy*rhw ) * (phx*qhw - qhx*phw);
return ( scaled_dist_r_minus_scaled_dist_s < RT0 );
}
template < class R>
CGAL_KERNEL_MEDIUM_INLINE
bool
has_larger_signed_distance_to_line(const PointH2<R>& p,
const PointH2<R>& q,
const PointH2<R>& r,
const PointH2<R>& s)
{
typedef typename R::RT RT;
const RT phx= p.hx();
const RT phy= p.hy();
const RT phw= p.hw();
const RT qhx= q.hx();
const RT qhy= q.hy();
const RT qhw= q.hw();
const RT rhx= r.hx();
const RT rhy= r.hy();
const RT rhw= r.hw();
const RT shx= s.hx();
const RT shy= s.hy();
const RT shw= s.hw();
const RT RT0 = RT(0);
RT scaled_dist_r_minus_scaled_dist_s =
( rhx*shw - shx*rhw ) * (phy*qhw - qhy*phw)
- ( rhy*shw - shy*rhw ) * (phx*qhw - qhx*phw);
return ( scaled_dist_r_minus_scaled_dist_s > RT0 );
}
} //namespace CGAL
#endif //CGAL_DISTANCE_PREDICATESH2_H
|