libcgal-dev 4.5-2 / usr / include / CGAL / Ray_2.h

// Copyright (c) 1999  
// Utrecht University (The Netherlands),
// ETH Zurich (Switzerland),
// INRIA Sophia-Antipolis (France),
// Max-Planck-Institute Saarbruecken (Germany),
// 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; either version 3 of the License,
// or (at your option) any later version.
//
// 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.
//
// $URL$
// $Id$
// 
//
// Author(s)     : Andreas Fabri

#ifndef CGAL_RAY_2_H
#define CGAL_RAY_2_H

#include <CGAL/assertions.h>
#include <boost/type_traits/is_same.hpp>
#include <CGAL/Kernel/Return_base_tag.h>
#include <CGAL/representation_tags.h>
#include <CGAL/Dimension.h>

namespace CGAL {

template <class R_>
class Ray_2 : public R_::Kernel_base::Ray_2
{
  typedef typename R_::RT                    RT;
  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_::Aff_transformation_2  Aff_transformation_2;

  typedef typename R_::Kernel_base::Ray_2    RRay_2;

  typedef Ray_2                              Self;
  CGAL_static_assertion((boost::is_same<Self, typename R_::Ray_2>::value));

public:

  typedef Dimension_tag<2>  Ambient_dimension;
  typedef Dimension_tag<1>  Feature_dimension;

  typedef RRay_2 Rep;

  const Rep& rep() const
  {
    return *this;
  }

  Rep& rep()
  {
    return *this;
  }

  typedef  R_   R;

  Ray_2() {}

  Ray_2(const RRay_2& r)
    : RRay_2(r) {}

  Ray_2(const Point_2 &sp, const Point_2 &secondp)
    : RRay_2(typename R::Construct_ray_2()(Return_base_tag(), sp, secondp)) {}

  Ray_2(const Point_2 &sp, const Direction_2 &d)
    : RRay_2(typename R::Construct_ray_2()(Return_base_tag(), sp, d)) {}

  Ray_2(const Point_2 &sp, const Vector_2 &v)
    : RRay_2(typename R::Construct_ray_2()(Return_base_tag(), sp, v)) {}

  Ray_2(const Point_2 &sp, const Line_2 &l)
    : RRay_2(typename R::Construct_ray_2()(Return_base_tag(), sp, l)) {}


  typename cpp11::result_of<typename R_::Construct_source_2( Ray_2)>::type
  source() const
  {
    return R().construct_source_2_object()(*this);
  }

  typename cpp11::result_of<typename R_::Construct_second_point_2( Ray_2)>::type
  second_point() const
  {
    return R().construct_second_point_2_object()(*this);
  }


  Point_2
  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)));
  }


  typename cpp11::result_of<typename R_::Construct_source_2( Ray_2 )>::type
  start() const
  {
    return source();
  }

  bool is_horizontal() const
  {
    return R().equal_y_2_object()(source(), second_point());
  }

  bool is_vertical() const
  {
    return R().equal_x_2_object()(source(), second_point());
  }

  bool is_degenerate() const
  {
    return R().is_degenerate_2_object()(*this);
  }

  Direction_2
  direction() const
  {
    typename R::Construct_vector_2 construct_vector;
    typename R::Construct_direction_2 construct_direction;
    return construct_direction( construct_vector(source(), second_point()) );
  }


  Vector_2
  to_vector() const
  {
    typename R::Construct_vector_2 construct_vector;
    return construct_vector(source(), second_point());
  }

  bool
  has_on(const 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() );
  }



  bool
  collinear_has_on(const Point_2 &p) const
  {
    return R().collinear_has_on_2_object()(*this, p);
  }

  Ray_2
  opposite() const
  {
    return Ray_2( source(), - direction() );
  }

  Line_2
  supporting_line() const
  {
    return R().construct_line_2_object()(source(), second_point());
  }

  bool
  operator==(const Ray_2& r) const
  {
    return R().equal_2_object()(*this, r);
  }

  bool
  operator!=(const Ray_2& r) const
  {
    return !(*this == r);
  }

  Ray_2 
  transform(const Aff_transformation_2 &t) const
  {
    return Ray_2(t.transform(source()), t.transform(second_point()));
  }

};


template <class R >
std::ostream&
insert(std::ostream& os, const Ray_2<R>& r, const Cartesian_tag&) 
{
    switch(os.iword(IO::mode)) {
    case IO::ASCII :
        return os << r.source() << ' ' << r.second_point();
    case IO::BINARY :
        return os << r.source() << r.second_point();
    default:
        return os << "RayC2(" << r.source() <<  ", " << r.second_point() << ")";
    }
}

template <class R >
std::ostream&
insert(std::ostream& os, const Ray_2<R>& r, const Homogeneous_tag&)
{
  switch(os.iword(IO::mode))
  {
    case IO::ASCII :
        return os << r.source() << ' ' << r.second_point();
    case IO::BINARY :
        return os << r.source() << r.second_point();
    default:
       return os << "RayH2(" << r.source() <<  ", " << r.second_point() << ")";
  }
}

template < class R >
std::ostream&
operator<<(std::ostream& os, const Ray_2<R>& r)
{
  return insert(os, r, typename R::Kernel_tag() );
}


template <class R >
std::istream&
extract(std::istream& is, Ray_2<R>& r, const Cartesian_tag&) 
{
    typename R::Point_2 p, q;
    is >> p >> q;
    if (is)
        r = Ray_2<R>(p, q);
    return is;
}


template <class R >
std::istream&
extract(std::istream& is, Ray_2<R>& r, const Homogeneous_tag&) 
{
  typename R::Point_2 p, q;
  is >> p >> q;
  if (is)
    r = Ray_2<R>(p, q);
  return is;
}

template < class R >
std::istream&
operator>>(std::istream& is, Ray_2<R>& r)
{
  return extract(is, r, typename R::Kernel_tag() );
}

} //namespace CGAL

#endif  // CGAL_RAY_2_H