cgal/Homogeneous_kernel/include/CGAL/Homogeneous/predicates_on_pointsH3.h

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3.0 KiB
C++

// 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.
//
// $URL$
// $Id$
//
//
// Author(s) : Stefan Schirra
#ifndef CGAL_PREDICATES_ON_POINTSH3_H
#define CGAL_PREDICATES_ON_POINTSH3_H
#include <CGAL/Homogeneous/PointH3.h>
namespace CGAL {
template < class R >
CGAL_KERNEL_MEDIUM_INLINE
bool lexicographically_xy_smaller(const PointH3<R> &p,
const PointH3<R> &q)
{
typedef typename R::RT RT;
RT pV = p.hx()*q.hw();
RT qV = q.hx()*p.hw();
if ( pV < qV )
{
return true;
}
if ( qV < pV )
{
return false;
}
// same x
pV = p.hy()*q.hw();
qV = q.hy()*p.hw();
if ( pV < qV )
{
return true;
}
return false;
}
template < class R>
CGAL_KERNEL_MEDIUM_INLINE
Comparison_result
compare_xy(const PointH3<R>& p, const PointH3<R>& q)
{
typedef typename R::RT RT;
RT pV = p.hx()*q.hw();
RT qV = q.hx()*p.hw();
if ( pV < qV )
{
return SMALLER;
}
if ( qV < pV ) // ( pV > qV )
{
return LARGER;
}
// same x
pV = p.hy()*q.hw();
qV = q.hy()*p.hw();
if ( pV < qV )
{
return SMALLER;
}
if ( qV < pV ) // ( pV > qV )
{
return LARGER;
}
// same x and y
return EQUAL;
}
template < class R >
CGAL_KERNEL_INLINE
bool
equal_xy(const PointH3<R> &p, const PointH3<R> &q)
{
return (p.hx() * q.hw() == q.hx() * p.hw() )
&& (p.hy() * q.hw() == q.hy() * p.hw() );
}
template < class R > // ??? -> ==
CGAL_KERNEL_INLINE
bool
equal_xyz(const PointH3<R> &p, const PointH3<R> &q)
{
return (p.hx() * q.hw() == q.hx() * p.hw() )
&& (p.hy() * q.hw() == q.hy() * p.hw() )
&& (p.hz() * q.hw() == q.hz() * p.hw() );
}
template < class R >
CGAL_KERNEL_INLINE
bool
less_x(const PointH3<R> &p, const PointH3<R> &q)
{ return (p.hx() * q.hw() < q.hx() * p.hw() ); }
template < class R >
CGAL_KERNEL_INLINE
bool
less_y(const PointH3<R> &p, const PointH3<R> &q)
{ return (p.hy() * q.hw() < q.hy() * p.hw() ); }
template < class R >
CGAL_KERNEL_INLINE
bool
less_z(const PointH3<R> &p, const PointH3<R> &q)
{ return (p.hz() * q.hw() < q.hz() * p.hw() ); }
} //namespace CGAL
#endif // CGAL_PREDICATES_ON_POINTSH3_H