SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Triangle_3_Point_3_do_intersect.h

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// Copyright (c) 2003  INRIA Sophia-Antipolis (France).
// 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.
//
// $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Intersections_3/include/CGAL/Triangle_3_Point_3_do_intersect.h $
// $Id: Triangle_3_Point_3_do_intersect.h 39776 2007-08-08 15:15:20Z spion $
// 
//
// Author(s)     : Philippe Guigue

#ifndef CGAL_TRIANGLE_3_POINT_3_DO_INTERSECT_H
#define CGAL_TRIANGLE_3_POINT_3_DO_INTERSECT_H

CGAL_BEGIN_NAMESPACE

namespace CGALi {

template <class K>
bool do_intersect(const typename K::Triangle_3 &t, 
                  const typename K::Point_3    &p,
                  const K & k )
{

  CGAL_kernel_precondition( ! k.is_degenerate_3_object()(t));

  typedef typename K::Point_3 Point_3;
  
  typename K::Construct_vertex_3 vertex_on =
    k.construct_vertex_3_object();
  
  typename K::Orientation_3 orientation = 
    k.orientation_3_object();

  typename K::Coplanar_orientation_3 coplanar_orientation = 
    k.coplanar_orientation_3_object();



  const Point_3 & a = vertex_on(t,0);
  const Point_3 & b = vertex_on(t,1);
  const Point_3 & c = vertex_on(t,2);
  

  if (orientation(a,b,c,p) != COPLANAR)
    return false;
  

  const Orientation abp = coplanar_orientation(a,b,p);
  const Orientation bcp = coplanar_orientation(b,c,p);
  
  
  switch ( abp ) {
  case POSITIVE: return  bcp != NEGATIVE 
                   &&   coplanar_orientation(c,a,p) != NEGATIVE ;
  case NEGATIVE: return  bcp != POSITIVE  
                   &&   coplanar_orientation(c,a,p) != POSITIVE ;
  case COLLINEAR:
    switch ( bcp ) {
    case POSITIVE: return  coplanar_orientation(c,a,p) != NEGATIVE ;
    case NEGATIVE: return  coplanar_orientation(c,a,p) != POSITIVE ;
    case COLLINEAR: return true;
    default: // should not happen.
      CGAL_kernel_assertion(false);
      return false;
    }
  default: // should not happen.
    CGAL_kernel_assertion(false);
    return false;
  }
  
}


template <class K>
bool do_intersect(const typename K::Point_3    &p,
                  const typename K::Triangle_3 &t, 
                  const K & k )
{
  return do_intersect(t, p, k);
}


} // namespace CGALi

 
template <class K>
inline bool do_intersect(const Point_3<K> &p, 
                         const Triangle_3<K> &t)
{ 
  return typename K::Do_intersect_3()(t,p);
} 

template <class K>
inline bool do_intersect(const Triangle_3<K> &t, 
                         const Point_3<K> &p)
{ 
  return typename K::Do_intersect_3()(t,p);
} 

/*
template <class K>
inline bool do_intersect(const Point_3<K> &p, 
                         const Triangle_3<K> &t,
                         const K & k)
{ 
  return do_intersect(t,p,k);
} 
*/

CGAL_END_NAMESPACE

#endif // CGAL_TRIANGLE_3_POINT_3_DO_INTERSECT_H