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// 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) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Kernel_23/include/CGAL/cartesian_homogeneous_conversion.h $ // $Id: include/CGAL/cartesian_homogeneous_conversion.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Stefan Schirra #ifndef CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H #define CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H #include #include namespace CGAL { template Point_2< Cartesian > homogeneous_to_cartesian(const Point_2< Homogeneous >& hp) { return Point_2< Cartesian >(hp.hx(), hp.hy(), hp.hw() ); } template Point_2< Homogeneous > cartesian_to_homogeneous(const Point_2< Cartesian >& cp) { return Point_2< Homogeneous >(cp.hx(), cp.hy()); } template Point_3< Cartesian > homogeneous_to_cartesian(const Point_3< Homogeneous >& hp) { return Point_3< Cartesian >(hp.hx(), hp.hy(), hp.hz(), hp.hw() ); } template Point_3< Homogeneous > cartesian_to_homogeneous(const Point_3< Cartesian >& cp) { return Point_3< Homogeneous >(cp.hx(), cp.hy(), cp.hz() ); } template Point_2< Cartesian > > homogeneous_to_quotient_cartesian( const Point_2 >& hp) { typedef Quotient QT; return Point_2< Cartesian >( QT( hp.hx(), hp.hw() ), QT( hp.hy(), hp.hw() ) ); } template Point_2< Homogeneous > quotient_cartesian_to_homogeneous( const Point_2< Cartesian< Quotient > >& cp) { typedef Point_2 > 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 Point_3< Cartesian > > homogeneous_to_quotient_cartesian( const Point_3 >& hp) { typedef Quotient QT; return Point_3< Cartesian >( QT( hp.hx(), hp.hw() ), QT( hp.hy(), hp.hw() ), QT( hp.hz(), hp.hw() ) ); } template Point_3< Homogeneous > quotient_cartesian_to_homogeneous( const Point_3< Cartesian< Quotient > >& cp) { typedef Point_3 > 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()); } } } //namespace CGAL #endif // CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H