mirror of https://github.com/CGAL/cgal
240 lines
6.1 KiB
C++
240 lines
6.1 KiB
C++
// Copyright (c) 1999 Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
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// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
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// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
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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; version 2.1 of the License.
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// See the file LICENSE.LGPL distributed with CGAL.
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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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// $Source$
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// $Revision$ $Date$
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// $Name$
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//
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// Author(s) : Stefan Schirra
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#ifndef CGAL_HOMOGENEOUS_POINT_2_H
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#define CGAL_HOMOGENEOUS_POINT_2_H
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#include <CGAL/Origin.h>
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#include <CGAL/Bbox_2.h>
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#include <CGAL/Threetuple.h>
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#include <CGAL/Kernel/Cartesian_coordinate_iterator_2.h>
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CGAL_BEGIN_NAMESPACE
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template < class R_ >
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class PointH2
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: public R_::template Handle<Threetuple<typename R_::RT> >::type
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{
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typedef typename R_::FT FT;
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typedef typename R_::RT RT;
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typedef typename R_::Vector_2 Vector_2;
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typedef typename R_::Point_2 Point_2;
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typedef typename R_::Direction_2 Direction_2;
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typedef typename R_::Aff_transformation_2 Aff_transformation_2;
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typedef Threetuple<RT> rep;
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typedef typename R_::template Handle<rep>::type base;
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const base& Base() const { return *this; }
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base& Base() { return *this; }
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public:
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typedef Cartesian_coordinate_iterator_2<R_> Cartesian_const_iterator;
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typedef R_ R;
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PointH2() {}
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PointH2(const Origin &)
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: base (RT(0), RT(0), RT(1)) {}
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PointH2(const PointH2<R> & p)
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: base (p) {}
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PointH2(const Vector_2& v)
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: base (v) {}
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PointH2(const RT& hx, const RT& hy )
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: base (hx, hy, RT(1)) {}
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PointH2(const RT& hx, const RT& hy, const RT& hw)
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{
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if ( hw >= RT(0) )
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Base() = rep( hx, hy, hw);
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else
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Base() = rep(-hx,-hy,-hw);
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}
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bool operator==( const PointH2<R>& p) const;
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bool operator!=( const PointH2<R>& p) const;
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const RT & hx() const { return get(Base()).e0; };
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const RT & hy() const { return get(Base()).e1; };
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const RT & hw() const { return get(Base()).e2; };
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FT x() const { return FT(hx()) / FT(hw()); };
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FT y() const { return FT(hy()) / FT(hw()); };
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FT cartesian(int i) const;
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FT operator[](int i) const;
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const RT & homogeneous(int i) const;
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Cartesian_const_iterator cartesian_begin() const
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{
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return Cartesian_const_iterator(static_cast<const Point_2*>(this), 0);
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}
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Cartesian_const_iterator cartesian_end() const
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{
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return Cartesian_const_iterator(static_cast<const Point_2*>(this), 2);
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}
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int dimension() const;
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Bbox_2 bbox() const;
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Point_2 transform( const Aff_transformation_2 & t) const;
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Direction_2 direction() const;
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};
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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PointH2<R>::operator==( const PointH2<R>& p) const
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{ // FIXME : Predicate
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return ( (hx() * p.hw() == p.hx() * hw() )
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&&(hy() * p.hw() == p.hy() * hw() ) );
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}
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template < class R >
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inline
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bool
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PointH2<R>::operator!=( const PointH2<R>& p) const
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{ return !(*this == p); }
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH2<R>::FT
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PointH2<R>::cartesian(int i) const
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{
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CGAL_kernel_precondition( (i==0 || i==1) );
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if (i==0)
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return x();
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return y();
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}
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template < class R >
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CGAL_KERNEL_INLINE
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const typename PointH2<R>::RT &
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PointH2<R>::homogeneous(int i) const
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{
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CGAL_kernel_precondition( (i>=0) && (i<=2) );
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if (i==0)
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return hx();
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if (i==1)
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return hy();
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return hw();
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}
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template < class R >
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inline
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typename PointH2<R>::FT
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PointH2<R>::operator[](int i) const
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{ return cartesian(i); }
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template < class R >
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inline
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int
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PointH2<R>::dimension() const
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{ return 2; }
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template < class R >
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CGAL_KERNEL_INLINE
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typename PointH2<R>::Direction_2
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PointH2<R>::direction() const
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{ return typename PointH2<R>::Direction_2(*this); }
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template < class R >
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CGAL_KERNEL_MEDIUM_INLINE
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Bbox_2
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PointH2<R>::bbox() const
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{
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Interval_nt<> ihx = CGAL::to_interval(hx());
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Interval_nt<> ihy = CGAL::to_interval(hy());
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Interval_nt<> ihw = CGAL::to_interval(hw());
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Interval_nt<> ix = ihx/ihw;
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Interval_nt<> iy = ihy/ihw;
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return Bbox_2(ix.inf(), iy.inf(), ix.sup(), iy.sup());
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}
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template < class R >
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inline
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typename R::Point_2
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PointH2<R>::transform(const typename PointH2<R>::Aff_transformation_2& t) const
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{ return t.transform(static_cast<const typename R::Point_2 &>(*this)); }
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#ifndef CGAL_NO_OSTREAM_INSERT_POINTH2
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template < class R >
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std::ostream &
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operator<<(std::ostream &os, const PointH2<R> &p)
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{
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switch(os.iword(IO::mode))
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{
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case IO::ASCII :
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return os << p.hx() << ' ' << p.hy() << ' ' << p.hw();
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case IO::BINARY :
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write(os, p.hx());
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write(os, p.hy());
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write(os, p.hw());
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return os;
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default:
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return os << "PointH2(" << p.hx() << ", "
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<< p.hy() << ", "
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<< p.hw() << ')';
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}
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}
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#endif // CGAL_NO_OSTREAM_INSERT_POINTH2
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#ifndef CGAL_NO_ISTREAM_EXTRACT_POINTH2
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template < class R >
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std::istream &
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operator>>(std::istream &is, PointH2<R> &p)
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{
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typename R::RT hx, hy, hw;
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switch(is.iword(IO::mode))
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{
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case IO::ASCII :
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is >> hx >> hy >> hw;
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break;
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case IO::BINARY :
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read(is, hx);
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read(is, hy);
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read(is, hw);
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break;
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default:
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std::cerr << "" << std::endl;
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std::cerr << "Stream must be in ascii or binary mode" << std::endl;
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break;
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}
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p = PointH2<R>(hx, hy, hw);
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_POINTH2
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CGAL_END_NAMESPACE
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#endif // CGAL_HOMOGENEOUS_POINT_2_H
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