cgal/Packages/Cartesian_kernel/include/CGAL/Cartesian/Ray_2.h

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// Copyright (c) 2000 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) : Andreas Fabri, Herve Bronnimann
#ifndef CGAL_CARTESIAN_RAY_2_H
#define CGAL_CARTESIAN_RAY_2_H
#include <CGAL/Twotuple.h>
CGAL_BEGIN_NAMESPACE
template < class R_ >
class RayC2
{
typedef typename R_::FT FT;
typedef typename R_::Point_2 Point_2;
typedef typename R_::Direction_2 Direction_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_::Aff_transformation_2 Aff_transformation_2;
typedef Twotuple<Point_2> Rep;
typedef typename R_::template Handle<Rep>::type Base;
Base base;
public:
typedef R_ R;
typename R::Construct_translated_point_2 Construct_translated_point;
RayC2() {}
RayC2(const Point_2 &sp, const Point_2 &secondp)
: base(sp, secondp) {}
RayC2(const Point_2 &sp, const Direction_2 &d)
: base(sp, Construct_translated_point( sp, d.to_vector())){}
RayC2(const Point_2 &sp, const Vector_2 &v)
: base(sp, Construct_translated_point(sp, v)){}
RayC2(const Point_2 &sp, const Line_2 &l)
: base(sp, Construct_translated_point(sp, l.to_vector())){}
bool operator==(const RayC2 &r) const;
bool operator!=(const RayC2 &r) const;
const Point_2 & start() const;
const Point_2 & source() const
{
return get(base).e0;
}
Point_2 point(int i) const;
const Point_2 & second_point() const
{
return get(base).e1;
}
Direction_2 direction() const;
Vector_2 to_vector() const;
Line_2 supporting_line() const;
Ray_2 opposite() const;
Ray_2 transform(const Aff_transformation_2 &t) const
{
return RayC2<R>(t.transform(source()), t.transform(second_point()));
}
bool is_horizontal() const;
bool is_vertical() const;
bool is_degenerate() const;
bool has_on(const Point_2 &p) const;
bool collinear_has_on(const Point_2 &p) const;
};
template < class R >
CGAL_KERNEL_INLINE
bool
RayC2<R>::operator==(const RayC2<R> &r) const
{
if (CGAL::identical(base, r.base))
return true;
return source() == r.source() && direction() == r.direction();
}
template < class R >
inline
bool
RayC2<R>::operator!=(const RayC2<R> &r) const
{
return !(*this == r);
}
template < class R >
inline
const typename RayC2<R>::Point_2 &
RayC2<R>::start() const
{
return source();
}
template < class R >
CGAL_KERNEL_INLINE
typename RayC2<R>::Point_2
RayC2<R>::point(int i) const
{
CGAL_kernel_precondition( i >= 0 );
typename R::Construct_vector_2 construct_vector;
typename R::Construct_scaled_vector_2 construct_scaled_vector;
typename R::Construct_translated_point_2 construct_translated_point;
if (i == 0) return source();
if (i == 1) return second_point();
return construct_translated_point(source(),
construct_scaled_vector(construct_vector(source(),
second_point()),
FT(i)));
}
template < class R >
inline
typename RayC2<R>::Vector_2
RayC2<R>::to_vector() const
{
typename R::Construct_vector_2 construct_vector;
return construct_vector(source(), second_point());
}
template < class R >
inline
typename RayC2<R>::Direction_2
RayC2<R>::direction() const
{
typename R::Construct_vector_2 construct_vector;
return Direction_2( construct_vector(source(), second_point()) );
}
template < class R >
inline
typename RayC2<R>::Line_2
RayC2<R>::supporting_line() const
{
return Line_2(*this);
}
template < class R >
inline
typename RayC2<R>::Ray_2
RayC2<R>::opposite() const
{
return RayC2<R>( source(), - direction() );
}
template < class R >
CGAL_KERNEL_INLINE
bool RayC2<R>::is_horizontal() const
{
return R().equal_y_2_object()(source(), second_point());
}
template < class R >
CGAL_KERNEL_INLINE
bool RayC2<R>::is_vertical() const
{
return R().equal_x_2_object()(source(), second_point());
}
template < class R >
CGAL_KERNEL_INLINE
bool RayC2<R>::is_degenerate() const
{
return source() == second_point();
}
template < class R >
CGAL_KERNEL_INLINE
bool
RayC2<R>::has_on(const typename RayC2<R>::Point_2 &p) const
{
typename R::Construct_vector_2 construct_vector;
return p == source()
|| R().collinear_2_object()(source(), p, second_point())
&& Direction_2(construct_vector( source(), p)) == direction();
}
template < class R >
inline
bool
RayC2<R>::
collinear_has_on(const typename RayC2<R>::Point_2 &p) const
{
return R().collinear_has_on_2_object()(*this, p);
}
#ifndef CGAL_NO_OSTREAM_INSERT_RAYC2
template < class R >
std::ostream &
operator<<(std::ostream &os, const RayC2<R> &r)
{
switch(os.iword(IO::mode)) {
case IO::ASCII :
return os << r.source() << ' ' << r.direction();
case IO::BINARY :
return os << r.source() << r.direction();
default:
return os << "RayC2(" << r.source() << ", " << r.direction() << ")";
}
}
#endif // CGAL_NO_OSTREAM_INSERT_RAYC2
#ifndef CGAL_NO_ISTREAM_EXTRACT_RAYC2
template < class R >
std::istream &
operator>>(std::istream &is, RayC2<R> &r)
{
typename R::Point_2 p;
typename R::Direction_2 d;
is >> p >> d;
if (is)
r = RayC2<R>(p, d);
return is;
}
#endif // CGAL_NO_ISTREAM_EXTRACT_RAYC2
CGAL_END_NAMESPACE
#endif // CGAL_CARTESIAN_RAY_2_H