// Copyright (c) 2000
// 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)
//
// $URL: https://github.com/CGAL/cgal/blob/v6.2/Cartesian_kernel/include/CGAL/Cartesian/plane_constructions_3.h $
// $Id: include/CGAL/Cartesian/plane_constructions_3.h cac3e9d75e2 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Herve Bronnimann, Sylvain Pion

#ifndef CGAL_CARTESIAN_PLANE_CONSTRUCTIONS_3_H
#define CGAL_CARTESIAN_PLANE_CONSTRUCTIONS_3_H

#include <CGAL/Cartesian/Point_3.h>
#include <CGAL/Cartesian/Direction_3.h>
#include <CGAL/constructions/kernel_ftC3.h>

namespace CGAL {

template <class R_>
class PlaneC3;

template <class R>
CGAL_KERNEL_LARGE_INLINE
PlaneC3<R>
plane_from_points(const typename R::Point_3 &p,
                  const typename R::Point_3 &q,
                  const typename R::Point_3 &r)
{
  typename R::FT a, b, c, d;
  plane_from_pointsC3(p.x(), p.y(), p.z(),
                      q.x(), q.y(), q.z(),
                      r.x(), r.y(), r.z(),
                      a, b, c, d);
  return PlaneC3<R>(a, b, c, d);
}


template <class R>
CGAL_KERNEL_LARGE_INLINE
PlaneC3<R>
plane_from_points(Origin,
                  const typename R::Point_3 &q,
                  const typename R::Point_3 &r)
{
  typename R::FT a, b, c, d(0);
  plane_from_pointsC3( /* origin,  */
                      q.x(), q.y(), q.z(),
                      r.x(), r.y(), r.z(),
                      a, b, c);
  return PlaneC3<R>(a, b, c, d);
}


template <class R>
CGAL_KERNEL_LARGE_INLINE
PlaneC3<R>
plane_from_point_direction(const typename R::Point_3 &p,
                           const typename R::Direction_3 &d)
{
  typename R::FT A, B, C, D;
  plane_from_point_directionC3(p.x(), p.y(), p.z(), d.dx(), d.dy(), d.dz(),
                               A, B, C, D);
  return PlaneC3<R>(A, B, C, D);
}

template <class R>
CGAL_KERNEL_LARGE_INLINE
PlaneC3<R>
plane_from_point_direction(Origin,
                           const typename R::Direction_3 &d)
{
  return PlaneC3<R>(d.dx(), d.dy(), d.dz(), 0);
}

} //namespace CGAL

#endif // CGAL_CARTESIAN_PLANE_CONSTRUCTIONS_3_H
