134 lines
3.8 KiB
C++
Executable File
134 lines
3.8 KiB
C++
Executable File
// Copyright (c) 1999
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; either version 3 of the License,
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// or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: LGPL-3.0+
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//
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//
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// Author(s) : Stefan Schirra
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#ifndef CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
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#define CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
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#include <CGAL/Cartesian.h>
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#include <CGAL/Homogeneous.h>
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namespace CGAL {
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template <class RT>
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Point_2< Cartesian<RT> >
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homogeneous_to_cartesian(const Point_2< Homogeneous<RT> >& hp)
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{
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return
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Point_2< Cartesian<RT> >(hp.hx(), hp.hy(), hp.hw() );
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}
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template <class RT>
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Point_2< Homogeneous<RT> >
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cartesian_to_homogeneous(const Point_2< Cartesian<RT> >& cp)
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{
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return
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Point_2< Homogeneous<RT> >(cp.hx(), cp.hy());
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}
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template <class RT>
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Point_3< Cartesian<RT> >
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homogeneous_to_cartesian(const Point_3< Homogeneous<RT> >& hp)
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{
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return
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Point_3< Cartesian<RT> >(hp.hx(), hp.hy(), hp.hz(), hp.hw() );
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}
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template <class RT>
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Point_3< Homogeneous<RT> >
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cartesian_to_homogeneous(const Point_3< Cartesian<RT> >& cp)
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{
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return
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Point_3< Homogeneous<RT> >(cp.hx(), cp.hy(), cp.hz() );
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}
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template <class RT>
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Point_2< Cartesian<Quotient<RT> > >
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homogeneous_to_quotient_cartesian(
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const Point_2<Homogeneous<RT> >& hp)
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{
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typedef Quotient<RT> QT;
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return Point_2< Cartesian<QT> >( QT( hp.hx(), hp.hw() ),
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QT( hp.hy(), hp.hw() ) );
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}
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template <class RT>
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Point_2< Homogeneous<RT> >
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quotient_cartesian_to_homogeneous(
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const Point_2< Cartesian< Quotient<RT> > >& cp)
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{
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typedef Point_2<Homogeneous<RT> > HPoint;
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if ( cp.x().denominator() != cp.y().denominator() )
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{
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return HPoint( cp.x().numerator() * cp.y().denominator(),
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cp.y().numerator() * cp.x().denominator(),
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cp.x().denominator()* cp.y().denominator());
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}
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else
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{
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return HPoint( cp.x().numerator(),
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cp.y().numerator(),
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cp.x().denominator());
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}
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}
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template <class RT>
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Point_3< Cartesian<Quotient<RT> > >
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homogeneous_to_quotient_cartesian(
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const Point_3<Homogeneous<RT> >& hp)
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{
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typedef Quotient<RT> QT;
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return Point_3< Cartesian<QT> >( QT( hp.hx(), hp.hw() ),
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QT( hp.hy(), hp.hw() ),
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QT( hp.hz(), hp.hw() ) );
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}
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template <class RT>
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Point_3< Homogeneous<RT> >
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quotient_cartesian_to_homogeneous(
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const Point_3< Cartesian< Quotient<RT> > >& cp)
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{
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typedef Point_3<Homogeneous<RT> > HPoint;
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if ( (cp.x().denominator() != cp.y().denominator() )
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||(cp.x().denominator() != cp.z().denominator() ) )
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{
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return
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HPoint(cp.x().numerator() *cp.y().denominator()*cp.z().denominator(),
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cp.y().numerator() *cp.x().denominator()*cp.z().denominator(),
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cp.z().numerator() *cp.x().denominator()*cp.y().denominator(),
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cp.x().denominator()*cp.y().denominator()*cp.z().denominator());
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}
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else
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{
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return HPoint( cp.x().numerator(),
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cp.y().numerator(),
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cp.z().numerator(),
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cp.x().denominator());
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}
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}
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} //namespace CGAL
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#endif // CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
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