SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Triangle_3_Line_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_Line_3_do_intersect.h $
// $Id: Triangle_3_Line_3_do_intersect.h 39776 2007-08-08 15:15:20Z spion $
// 
//
// Author(s)     : Philippe Guigue

#ifndef CGAL_TRIANGLE_3_LINE_3_DO_INTERSECT_H
#define CGAL_TRIANGLE_3_LINE_3_DO_INTERSECT_H

CGAL_BEGIN_NAMESPACE

namespace CGALi {

template <class K>
bool do_intersect(const typename K::Triangle_3 &t, 
                  const typename K::Line_3     &l,
                  const K & k )
{
  
  CGAL_kernel_precondition( ! k.is_degenerate_3_object()(t) ) ;
  CGAL_kernel_precondition( ! k.is_degenerate_3_object()(l) ) ;
  
  typedef typename K::Point_3 Point_3;
  

  typename K::Construct_point_on_3 point_on = 
    k.construct_point_on_3_object();
  
  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);
  const Point_3 & p = point_on(l,0);
  const Point_3 & q = point_on(l,1);


  
  if ( ( orientation(a,b,c,p) != COPLANAR ) || 
       ( orientation(a,b,c,q) != COPLANAR ) )
    {

      const Orientation pqab = orientation(p,q,a,b);
      const Orientation pqbc = orientation(p,q,b,c);

      
      switch ( pqab ) {
      case POSITIVE: return  pqbc != NEGATIVE  &&  
                       orientation(p,q,c,a) != NEGATIVE ;
      case NEGATIVE: return  pqbc != POSITIVE  &&  
                       orientation(p,q,c,a) != POSITIVE ;
      case COLLINEAR:
        switch ( pqbc ) {
        case POSITIVE: return  orientation(p,q,c,a) != NEGATIVE ;
        case NEGATIVE: return  orientation(p,q,c,a) != 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;
      }
    }
  
  // Coplanar case
    
  const Orientation pqa = coplanar_orientation(p,q,a);
  
  return  coplanar_orientation(p,q,b) != pqa 
    ||  coplanar_orientation(p,q,c) != pqa ;  
}


template <class K>
inline
bool do_intersect(const typename K::Line_3     &l,
                  const typename K::Triangle_3 &t, 
                  const K & k )
{
  return do_intersect(t, l, k);
}


} // namespace CGALi


template <class K>
bool do_intersect(const Triangle_3<K> &t, 
                  const Line_3<K>     &l)
{
  return typename K::Do_intersect_3()(t,l);
}


template <class K>
inline bool do_intersect(const Line_3<K> &l, 
                         const Triangle_3<K> &t)
{
  return typename K::Do_intersect_3()(t,l);
}

/*
template <class K>
inline bool do_intersect(const Line_3<K> &l, 
                         const Triangle_3<K> &t,
                         const K  & k )
{
  return do_intersect(t,l,k);
}
*/

CGAL_END_NAMESPACE

#endif //CGAL_TRIANGLE_3_LINE_3_DO_INTERSECT_H