// 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, Stefan Schirra
 
#ifndef CGAL_PLANE_3_H
#define CGAL_PLANE_3_H

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

namespace CGAL {

template <class R_>
class Plane_3 : public R_::Kernel_base::Plane_3
{
  typedef typename R_::RT                    RT;
  typedef typename R_::Point_2               Point_2;
  typedef typename R_::Point_3               Point_3;
  typedef typename R_::Direction_3           Direction_3;
  typedef typename R_::Vector_3              Vector_3;
  typedef typename R_::Segment_3             Segment_3;
  typedef typename R_::Line_3                Line_3;
  typedef typename R_::Ray_3                 Ray_3;
  typedef typename R_::Circle_3              Circle_3;
  typedef typename R_::Aff_transformation_3  Aff_transformation_3;

  typedef Plane_3                            Self;
  CGAL_static_assertion((boost::is_same<Self, typename R_::Plane_3>::value));

public:

  typedef Dimension_tag<3>  Ambient_dimension;
  typedef Dimension_tag<2>  Feature_dimension;

  typedef typename R_::Kernel_base::Plane_3  Rep;

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

  Rep& rep()
  {
    return *this;
  }

  typedef          R_                       R;

  Plane_3() {}

  Plane_3(const Rep& p)
    : Rep(p) {}

  Plane_3(const Point_3& p, const Point_3& q, const Point_3& r)
    : Rep(typename R::Construct_plane_3()(Return_base_tag(), p, q, r)) {}

  Plane_3(const Point_3& p, const Direction_3& d)
    : Rep(typename R::Construct_plane_3()(Return_base_tag(), p, d)) {}

  Plane_3(const Point_3& p, const Vector_3& v)
    : Rep(typename R::Construct_plane_3()(Return_base_tag(), p, v)) {}

  Plane_3(const RT& a, const RT& b, const RT& c, const RT& d)
    : Rep(typename R::Construct_plane_3()(Return_base_tag(), a, b, c, d)) {}

  Plane_3(const Line_3& l, const Point_3& p)
    : Rep(typename R::Construct_plane_3()(Return_base_tag(), l, p)) {}

  Plane_3(const Segment_3& s, const Point_3& p)
    : Rep(typename R::Construct_plane_3()(Return_base_tag(), s, p)) {}

  Plane_3(const Ray_3& r, const Point_3& p)
    : Rep(typename R::Construct_plane_3()(Return_base_tag(), r, p)) {}

  explicit Plane_3(const Circle_3& c)
    : Rep(typename R::Construct_plane_3()(c)) {}

  Plane_3 transform(const Aff_transformation_3 &t) const
  {
    return t.transform(*this);
  }

  Plane_3 opposite() const
  {
    return R().construct_opposite_plane_3_object()(*this);
  }

  //Vector_3     orthogonal_vector() const;
  Direction_3 orthogonal_direction() const
  {
    return Direction_3(a(), b(), c());
  }

  typename cpp11::result_of<typename R::Compute_a_3( Plane_3)>::type
  a() const
  {
    return R().compute_a_3_object()(*this);
  }

  typename cpp11::result_of<typename R::Compute_b_3( Plane_3)>::type
  b() const
  {
    return R().compute_b_3_object()(*this);
  }

  typename cpp11::result_of<typename R::Compute_c_3( Plane_3)>::type
  c() const
  {
    return R().compute_c_3_object()(*this);
  }

  typename cpp11::result_of<typename R::Compute_d_3( Plane_3)>::type
  d() const
  {
    return R().compute_d_3_object()(*this);
  }

  bool has_on(const Point_3 &p) const
  {
    return R().has_on_3_object()(*this, p);
  }

  bool has_on(const Circle_3 &c) const
  {
    return R().has_on_3_object()(*this, c);
  }  
  
  bool has_on(const Line_3 &l) const
  {
    return R().has_on_3_object()(*this, l);
  }

  Line_3 perpendicular_line(const Point_3 &p) const
  {
    return R().construct_perpendicular_line_3_object()(*this, p);
  }

  Point_3 projection(const Point_3 &p) const
  {
    return R().construct_projected_point_3_object()(*this, p);
  }

  Point_3 point() const
  {
    return R().construct_point_on_3_object()(*this);
  }

  Vector_3 base1() const
  {
    return R().construct_base_vector_3_object()(*this, 1);
  }

  Vector_3 base2() const
  {
    return R().construct_base_vector_3_object()(*this, 2);
  }

  Vector_3 orthogonal_vector() const
  {
    return R().construct_orthogonal_vector_3_object()(*this);
  }

  Point_2 to_2d(const Point_3 &p) const
  {
    return R().construct_projected_xy_point_2_object()(*this, p);
  }

  Point_3 to_3d(const Point_2 &p) const
  {
    return R().construct_lifted_point_3_object()(*this, p);
  }


  //Point_3      projection(const Point_3 &p) const;
  //Direction_3  orthogonal_direction() const;

  Oriented_side oriented_side(const Point_3 &p) const
  {
    return R().oriented_side_3_object()(*this, p);
  }

  bool has_on_positive_side(const Point_3 &p) const
  {
    return R().has_on_positive_side_3_object()(*this, p);
  }

  bool has_on_negative_side(const Point_3 &p) const
  {
    return R().has_on_negative_side_3_object()(*this, p);
  }

/*
  bool         has_on(const Point_3 &p) const
  {
    return oriented_side(p) == ON_ORIENTED_BOUNDARY;
  }
  bool         has_on(const Line_3 &l) const
  {
    return has_on(l.point())
       &&  has_on(l.point() + l.direction().to_vector());
  }
*/

  bool is_degenerate() const
  {
    return R().is_degenerate_3_object()(*this);
  }

};


template < class R >
std::ostream &
operator<<(std::ostream &os, const Plane_3<R> &p)
{
    switch(os.iword(IO::mode)) {
    case IO::ASCII :
        return os << p.a() << ' ' << p.b() <<  ' ' << p.c() << ' ' << p.d();
    case IO::BINARY :
        write(os, p.a());
        write(os, p.b());
        write(os, p.c());
        write(os, p.d());
        return os;
        default:
            os << "Plane_3(" << p.a() <<  ", " << p.b() <<   ", ";
            os << p.c() << ", " << p.d() <<")";
            return os;
    }
}

template < class R >
std::istream &
operator>>(std::istream &is, Plane_3<R> &p)
{
    typename R::RT a, b, c, d;
    switch(is.iword(IO::mode)) {
    case IO::ASCII :
        is >> iformat(a) >> iformat(b) >> iformat(c) >> iformat(d);
        break;
    case IO::BINARY :
        read(is, a);
        read(is, b);
        read(is, c);
        read(is, d);
        break;
    default:
        std::cerr << "" << std::endl;
        std::cerr << "Stream must be in ascii or binary mode" << std::endl;
        break;
    }
    if (is)
        p = Plane_3<R>(a, b, c, d);
    return is;
}

} //namespace CGAL

#endif // CGAL_PLANE_3_H
