256 lines
7.0 KiB
C
256 lines
7.0 KiB
C
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// 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_HOMOGENEOUS_VECTOR_2_h
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#define CGAL_HOMOGENEOUS_VECTOR_2_h
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#include <CGAL/Origin.h>
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#include <CGAL/array.h>
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#include <CGAL/Kernel_d/Cartesian_const_iterator_d.h>
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#include <CGAL/Handle_for.h>
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#include <boost/next_prior.hpp>
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namespace CGAL {
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template < class R_ >
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class VectorH2
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{
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typedef VectorH2<R_> Self;
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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_::Point_2 Point_2;
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typedef typename R_::Segment_2 Segment_2;
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typedef typename R_::Ray_2 Ray_2;
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typedef typename R_::Line_2 Line_2;
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typedef typename R_::Direction_2 Direction_2;
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typedef typename R_::Vector_2 Vector_2;
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typedef cpp11::array<RT, 3> Rep;
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typedef typename R_::template Handle<Rep>::type Base;
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typedef Rational_traits<FT> Rat_traits;
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Base base;
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public:
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typedef const FT Cartesian_coordinate_type;
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typedef const RT& Homogeneous_coordinate_type;
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typedef Cartesian_const_iterator_d<typename Rep::const_iterator> Cartesian_const_iterator;
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typedef R_ R;
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VectorH2() {}
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template < typename Tx, typename Ty >
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VectorH2(const Tx & x, const Ty & y,
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typename boost::enable_if< boost::mpl::and_<boost::is_convertible<Tx, RT>,
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boost::is_convertible<Ty, RT> > >::type* = 0)
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: base(CGAL::make_array<RT>(x, y, RT(1))) {}
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VectorH2(const FT& x, const FT& y)
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: base(CGAL::make_array<RT>(
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Rat_traits().numerator(x) * Rat_traits().denominator(y),
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Rat_traits().numerator(y) * Rat_traits().denominator(x),
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Rat_traits().denominator(x) * Rat_traits().denominator(y)))
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{
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CGAL_kernel_assertion(hw() > 0);
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}
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VectorH2(const RT& x, const RT& y, const RT& w )
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: base( w >= RT(0) ? CGAL::make_array( x, y, w)
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: CGAL::make_array<RT>(-x, -y, -w) ) {}
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const Self&
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rep() const
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{
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return static_cast<const Self& >(*this);
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}
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bool operator==( const VectorH2<R>& v) const;
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bool operator!=( const VectorH2<R>& v) const;
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bool operator==( const Null_vector&) const;
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bool operator!=( const Null_vector& v) const;
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const RT & hx() const { return CGAL::get_pointee_or_identity(base)[0]; };
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const RT & hy() const { return CGAL::get_pointee_or_identity(base)[1]; };
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const RT & hw() const { return CGAL::get_pointee_or_identity(base)[2]; };
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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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const RT & homogeneous(int i) const;
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FT operator[](int i) const;
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Cartesian_const_iterator cartesian_begin() const
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{
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return make_cartesian_const_iterator_begin(CGAL::get_pointee_or_identity(base).begin(),
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boost::prior(CGAL::get_pointee_or_identity(base).end()));
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}
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Cartesian_const_iterator cartesian_end() const
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{
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return make_cartesian_const_iterator_end(boost::prior(CGAL::get_pointee_or_identity(base).end()));
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}
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int dimension() const;
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Direction_2 direction() const;
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Vector_2 perpendicular(const Orientation& o ) const;
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// Vector_2 operator+(const VectorH2 &v) const;
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Vector_2 operator-(const VectorH2 &v) const;
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Vector_2 operator-() const;
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Vector_2 opposite() const;
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FT squared_length() const;
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// Vector_2 operator/(const RT &f) const;
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//Vector_2 operator/(const FT &f) const;
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// undocumented:
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VectorH2(const Direction_2 & dir)
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: base ( dir) {}
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VectorH2(const Point_2 & p)
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: base ( p) {}
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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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VectorH2<R>::operator==( const Null_vector&) const
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{ return (hx() == RT(0)) && (hy() == RT(0)); }
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template < class R >
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inline
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bool
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VectorH2<R>::operator!=( const Null_vector& v) const
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{ return !(*this == v); }
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template < class R >
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CGAL_KERNEL_INLINE
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bool
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VectorH2<R>::operator==( const VectorH2<R>& v) const
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{
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return ( (hx() * v.hw() == v.hx() * hw() )
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&&(hy() * v.hw() == v.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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VectorH2<R>::operator!=( const VectorH2<R>& v) const
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{ return !(*this == v); } /* XXX */
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template < class R >
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CGAL_KERNEL_INLINE
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typename VectorH2<R>::FT
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VectorH2<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 VectorH2<R>::RT &
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VectorH2<R>::homogeneous(int i) const
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{
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CGAL_kernel_precondition( (i>=0) && (i<=2) );
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return CGAL::get_pointee_or_identity(base)[i];
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}
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template < class R >
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inline
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typename VectorH2<R>::FT
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VectorH2<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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VectorH2<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 VectorH2<R>::Direction_2
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VectorH2<R>::direction() const
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{ return Direction_2(hx(), hy()); }
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template < class R >
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inline
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typename VectorH2<R>::Vector_2
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VectorH2<R>::operator-() const
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{ return VectorH2<R>(- hx(), - hy(), hw() ); }
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template < class R >
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inline
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typename VectorH2<R>::Vector_2
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VectorH2<R>::opposite() const
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{ return VectorH2<R>(- hx(), - hy(), hw() ); }
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template <class R>
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CGAL_KERNEL_INLINE
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typename VectorH2<R>::Vector_2
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VectorH2<R>::operator-(const VectorH2<R>& v) const
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{
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return VectorH2<R>( hx()*v.hw() - v.hx()*hw(),
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hy()*v.hw() - v.hy()*hw(),
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hw()*v.hw() );
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}
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template <class R>
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CGAL_KERNEL_INLINE
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typename VectorH2<R>::FT
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VectorH2<R>::squared_length() const
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{
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typedef typename R::FT FT;
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return
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FT( CGAL_NTS square(hx()) + CGAL_NTS square(hy()) ) /
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FT( CGAL_NTS square(hw()) );
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}
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template < class R >
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CGAL_KERNEL_INLINE
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typename R::Vector_2
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VectorH2<R>::perpendicular(const Orientation& o) const
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{
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CGAL_kernel_precondition(o != COLLINEAR);
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if (o == COUNTERCLOCKWISE)
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return typename R::Vector_2(-hy(), hx(), hw());
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else
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return typename R::Vector_2(hy(), -hx(), hw());
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}
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} //namespace CGAL
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#endif // CGAL_HOMOGENEOUS_VECTOR_2_h
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