mirror of https://github.com/CGAL/cgal
131 lines
3.6 KiB
C++
131 lines
3.6 KiB
C++
// ======================================================================
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//
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// Copyright (c) 1999 The CGAL Consortium
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//
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// This software and related documentation is part of an INTERNAL release
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// of the Computational Geometry Algorithms Library (CGAL). It is not
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// intended for general use.
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//
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// ----------------------------------------------------------------------
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//
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// release :
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// release_date :
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//
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// file : cartesian_homogeneous_conversion.h
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// package : Kernel_basic
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// revision : $Revision$
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// revision_date : $Date$
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// author(s) : Stefan Schirra
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//
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//
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// coordinator : MPI, Saarbruecken (<Stefan.Schirra@mpi-sb.mpg.de>)
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// ======================================================================
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#ifndef CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
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#define CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
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CGAL_BEGIN_NAMESPACE
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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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CGAL_END_NAMESPACE
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#endif // CGAL_CARTESIAN_HOMOGENEOUS_CONVERSION_H
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