text: // Copyright (c) 2007-2009  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
  // 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: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/releases/CGAL-4.1-branch/Mesh_3/include/CGAL/Mesh_3/min_dihedral_angle.h $
  // $Id: min_dihedral_angle.h 67117 2012-01-13 18:14:48Z lrineau $
  // 
  //
  // Author(s)     : Laurent RINEAU, Stephane Tayeb
  
  #ifndef CGAL_MESH_3_MIN_DIHEDRAL_ANGLE_H
  #define CGAL_MESH_3_MIN_DIHEDRAL_ANGLE_H
  
  #include <CGAL/Mesh_3/dihedral_angle_3.h>
  #include <cmath>
  
  namespace CGAL {
  
  namespace Mesh_3 {
    
    namespace details {
      
      template <typename K>
      typename K::FT
      min_dihedral_angle_aux_compute_quotient(const typename K::Point_3& p0,
                                              const typename K::Point_3& p1,
                                              const typename K::Point_3& p2,
                                              const typename K::Point_3& p3,
                                              K k = K())
      {
        typename K::Construct_triangle_3 make_triangle = 
        k.construct_triangle_3_object();
        typename K::Compute_area_3 area = 
        k.compute_area_3_object();
        typename K::Compute_squared_distance_3 sq_distance = 
        k.compute_squared_distance_3_object();
        
        return CGAL::sqrt(sq_distance(p0, p1))
          / area(make_triangle(p0, p1, p3))
          / area(make_triangle(p0, p1, p2));
      }
      
    } // end namespace details;
  