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// 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: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.2-branch/Kernel_23/include/CGAL/cartesian_homogeneous_conversion.h $
// $Id: cartesian_homogeneous_conversion.h 28567 2006-02-16 14:30:13Z lsaboret $
//
//
// Author(s) : Stefan Schirra
#ifndef CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
#define CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
CGAL_BEGIN_NAMESPACE
template <class RT>
Point_2< Cartesian<RT> >
homogeneous_to_cartesian(const Point_2< Homogeneous<RT> >& hp)
{
return
Point_2< Cartesian<RT> >(hp.hx(), hp.hy(), hp.hw() );
}
template <class RT>
Point_2< Homogeneous<RT> >
cartesian_to_homogeneous(const Point_2< Cartesian<RT> >& cp)
{
return
Point_2< Homogeneous<RT> >(cp.hx(), cp.hy());
}
template <class RT>
Point_3< Cartesian<RT> >
homogeneous_to_cartesian(const Point_3< Homogeneous<RT> >& hp)
{
return
Point_3< Cartesian<RT> >(hp.hx(), hp.hy(), hp.hz(), hp.hw() );
}
template <class RT>
Point_3< Homogeneous<RT> >
cartesian_to_homogeneous(const Point_3< Cartesian<RT> >& cp)
{
return
Point_3< Homogeneous<RT> >(cp.hx(), cp.hy(), cp.hz() );
}
template <class RT>
Point_2< Cartesian<Quotient<RT> > >
homogeneous_to_quotient_cartesian(
const Point_2<Homogeneous<RT> >& hp)
{
typedef Quotient<RT> QT;
return Point_2< Cartesian<QT> >( QT( hp.hx(), hp.hw() ),
QT( hp.hy(), hp.hw() ) );
}
template <class RT>
Point_2< Homogeneous<RT> >
quotient_cartesian_to_homogeneous(
const Point_2< Cartesian< Quotient<RT> > >& cp)
{
typedef Point_2<Homogeneous<RT> > HPoint;
if ( cp.x().denominator() != cp.y().denominator() )
{
return HPoint( cp.x().numerator() * cp.y().denominator(),
cp.y().numerator() * cp.x().denominator(),
cp.x().denominator()* cp.y().denominator());
}
else
{
return HPoint( cp.x().numerator(),
cp.y().numerator(),
cp.x().denominator());
}
}
template <class RT>
Point_3< Cartesian<Quotient<RT> > >
homogeneous_to_quotient_cartesian(
const Point_3<Homogeneous<RT> >& hp)
{
typedef Quotient<RT> QT;
return Point_3< Cartesian<QT> >( QT( hp.hx(), hp.hw() ),
QT( hp.hy(), hp.hw() ),
QT( hp.hz(), hp.hw() ) );
}
template <class RT>
Point_3< Homogeneous<RT> >
quotient_cartesian_to_homogeneous(
const Point_3< Cartesian< Quotient<RT> > >& cp)
{
typedef Point_3<Homogeneous<RT> > HPoint;
if ( (cp.x().denominator() != cp.y().denominator() )
||(cp.x().denominator() != cp.z().denominator() ) )
{
return
HPoint(cp.x().numerator() *cp.y().denominator()*cp.z().denominator(),
cp.y().numerator() *cp.x().denominator()*cp.z().denominator(),
cp.z().numerator() *cp.x().denominator()*cp.y().denominator(),
cp.x().denominator()*cp.y().denominator()*cp.z().denominator());
}
else
{
return HPoint( cp.x().numerator(),
cp.y().numerator(),
cp.z().numerator(),
cp.x().denominator());
}
}
CGAL_END_NAMESPACE
#endif // CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
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