cgal/Packages/H2/include/CGAL/Homogeneous/DirectionH2.h

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// Copyright (c) 1999 Utrecht University (The Netherlands),
// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
// and Tel-Aviv University (Israel). All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $Source$
// $Revision$ $Date$
// $Name$
//
// Author(s) : Stefan Schirra
#ifndef CGAL_HOMOGENEOUS_DIRECTION_2_H
#define CGAL_HOMOGENEOUS_DIRECTION_2_H
#include <CGAL/Threetuple.h>
CGAL_BEGIN_NAMESPACE
template < class R_ >
class DirectionH2
: public R_::template Handle<Threetuple<typename R_::RT> >::type
{
typedef typename R_::FT FT;
typedef typename R_::RT RT;
typedef typename R_::Point_2 Point_2;
typedef typename R_::Vector_2 Vector_2;
typedef typename R_::Line_2 Line_2;
typedef typename R_::Ray_2 Ray_2;
typedef typename R_::Segment_2 Segment_2;
typedef typename R_::Aff_transformation_2 Aff_transformation_2;
typedef Threetuple<RT> rep;
typedef typename R_::template Handle<rep>::type base;
const base& Base() const { return *this; }
base& Base() { return *this; }
public:
typedef R_ R;
DirectionH2() {}
DirectionH2(const DirectionH2<R>& d )
: base ( d ) {}
DirectionH2(const Point_2 & p )
: base ( p) {}
DirectionH2(const Vector_2 & v )
: base ( v) {}
DirectionH2(const Line_2 & l )
: base ( l.direction()) {}
DirectionH2(const Ray_2 & r )
: base ( r.direction()) {}
DirectionH2(const Segment_2 & s )
: base ( s.direction()) {}
DirectionH2(const RT& x, const RT& y)
: base (x, y, RT(1)) {}
// TODO Not documented : should not exist , not used.
// we should also change Threetuple<RT> -> Twotuple<RT>
DirectionH2(const RT& x, const RT& y, const RT& w )
{
if (w > RT(0) )
Base() = rep(x, y, w);
else
Base() = rep(-x, -y, -w);
}
bool operator==( const DirectionH2<R>& d) const;
bool operator!=( const DirectionH2<R>& d) const;
bool counterclockwise_in_between( const DirectionH2<R>& d1,
const DirectionH2<R>& d2 ) const;
DirectionH2<R> operator-() const;
Vector_2 to_vector() const;
Vector_2 vector() const { return to_vector(); }
const RT & x() const { return get(Base()).e0; };
const RT & y() const { return get(Base()).e1; };
const RT & delta(int i) const;
const RT & dx() const { return get(Base()).e0; };
const RT & dy() const { return get(Base()).e1; };
DirectionH2<R> perpendicular(const Orientation &o) const;
DirectionH2<R> transform(const Aff_transformation_2 &) const;
};
template <class R >
CGAL_KERNEL_INLINE
bool
DirectionH2<R>::operator==( const DirectionH2<R>& d) const
{
return ( ( x() * d.y() == y() * d.x() )
&&( CGAL_NTS sign( x() ) == CGAL_NTS sign( d.x() ) )
&&( CGAL_NTS sign( y() ) == CGAL_NTS sign( d.y() ) ) );
}
template <class R >
inline
bool
DirectionH2<R>::operator!=( const DirectionH2<R>& d) const
{ return !(*this == d); }
template <class R >
inline
DirectionH2<R>
DirectionH2<R>::operator-() const
{ return DirectionH2<R>( - x(), - y() ); }
template <class R >
CGAL_KERNEL_INLINE
const typename DirectionH2<R>::RT &
DirectionH2<R>::delta(int i) const
{
CGAL_kernel_precondition( ( i == 0 ) || ( i == 1 ) );
if (i == 0)
return dx();
return dy();
}
CGAL_END_NAMESPACE
#include <CGAL/Homogeneous/predicates_on_directionsH2.h>
CGAL_BEGIN_NAMESPACE
template <class R >
CGAL_KERNEL_INLINE
bool
DirectionH2<R>::
counterclockwise_in_between( const DirectionH2<R>& d1,
const DirectionH2<R>& d2) const
{
return R().counterclockwise_in_between_2_object()(*this, d1, d2);
}
template <class R >
CGAL_KERNEL_INLINE
DirectionH2<R>
DirectionH2<R>::perpendicular(const Orientation& o) const
{
CGAL_kernel_precondition(o != COLLINEAR);
if (o == COUNTERCLOCKWISE)
{
return DirectionH2<R>(-dy(), dx());
}
else
{
return DirectionH2<R>(dy(), -dx());
}
}
template <class R >
inline
DirectionH2<R>
DirectionH2<R>::
transform(const typename DirectionH2<R>::Aff_transformation_2& t) const
{ return t.transform(*this); }
template <class R >
CGAL_KERNEL_INLINE
typename DirectionH2<R>::Vector_2
DirectionH2<R>::to_vector() const
{ return Vector_2(dx(), dy()); }
#ifndef CGAL_NO_OSTREAM_INSERT_DIRECTIONH2
template < class R >
std::ostream &
operator<<(std::ostream &os, const DirectionH2<R> &p)
{
switch(os.iword(IO::mode))
{
case IO::ASCII :
return os << p.dx() << ' ' << p.dy();
case IO::BINARY :
write(os, p.dx());
write(os, p.dy());
return os;
default:
return os << "DirectionH2(" << p.dx() << ", "
<< p.dy() << ')';
}
}
#endif // CGAL_NO_OSTREAM_INSERT_DIRECTIONH2
#ifndef CGAL_NO_ISTREAM_EXTRACT_DIRECTIONH2
template < class R >
std::istream &
operator>>(std::istream &is, DirectionH2<R> &p)
{
typename R::RT x, y;
switch(is.iword(IO::mode))
{
case IO::ASCII :
is >> x >> y;
break;
case IO::BINARY :
read(is, x);
read(is, y);
break;
default:
std::cerr << "" << std::endl;
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
break;
}
p = DirectionH2<R>(x, y);
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_DIRECTIONH2
CGAL_END_NAMESPACE
#endif // CGAL_HOMOGENEOUS_DIRECTION_2_H