/usr/include/CGAL/Homogeneous/distance_predicatesH2.h is in libcgal-dev 4.2-5ubuntu1.
This file is owned by root:root, with mode 0o644.
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// 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
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