global_functions_internal_3.h

很多二维 三维几何计算算法 C++ 类库

// Copyright (c) 2003-2004  Utrecht University (The Netherlands),
// ETH Zurich (Switzerland), Freie Universitaet Berlin (Germany),
// INRIA Sophia-Antipolis (France), Martin-Luther-University Halle-Wittenberg
// (Germany), Max-Planck-Institute Saarbruecken (Germany), RISC Linz (Austria),
// 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; 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-3.3-branch/Kernel_23/include/CGAL/Kernel/global_functions_internal_3.h $
// $Id: global_functions_internal_3.h 34893 2006-10-24 05:24:31Z spion $
// 
//
// Author(s)     : Sylvain Pion
 
#ifndef CGAL_KERNEL_GLOBAL_FUNCTIONS_INTERNAL_3_H
#define CGAL_KERNEL_GLOBAL_FUNCTIONS_INTERNAL_3_H

// Generic functions calling the kernel functor.
// See comments in CGAL/Kernel/global_functions_internal_3.h.

CGAL_BEGIN_NAMESPACE

namespace CGALi {

template <typename K>
inline
Angle
angle(const typename CGAL_WRAP(K)::Point_3 &p,
      const typename CGAL_WRAP(K)::Point_3 &q,
      const typename CGAL_WRAP(K)::Point_3 &r, const K &k)
{
  return k.angle_3_object()(p, q, r);
}

template < class K >
inline
bool
are_ordered_along_line(const typename CGAL_WRAP(K)::Point_3 &p,
                       const typename CGAL_WRAP(K)::Point_3 &q,
                       const typename CGAL_WRAP(K)::Point_3 &r, const K& k)
{
  return k.are_ordered_along_line_3_object()(p, q, r);
}

template < class K >
inline
bool
are_strictly_ordered_along_line(const typename CGAL_WRAP(K)::Point_3 &p,
                                const typename CGAL_WRAP(K)::Point_3 &q,
                                const typename CGAL_WRAP(K)::Point_3 &r,
                                const K& k)
{
  return k.are_strictly_ordered_along_line_3_object()(p, q, r);
}

template <typename K>
inline
typename K::Plane_3
bisector(const typename CGAL_WRAP(K)::Point_3 &p,
         const typename CGAL_WRAP(K)::Point_3 &q, const K &k)
{
  return k.construct_bisector_3_object()(p, q);
}

template <typename K>
inline
typename K::Plane_3
bisector(const typename CGAL_WRAP(K)::Plane_3 &h1,
         const typename CGAL_WRAP(K)::Plane_3 &h2, const K &k)
{
  return k.construct_bisector_3_object()(h1, h2);
}

template < class K >
inline
typename K::Point_3
centroid(const typename CGAL_WRAP(K)::Point_3 &p,
         const typename CGAL_WRAP(K)::Point_3 &q,
         const typename CGAL_WRAP(K)::Point_3 &r,
         const typename CGAL_WRAP(K)::Point_3 &s, const K &k)
{
  return k.construct_centroid_3_object()(p, q, r, s);
}

template < class K >
inline
typename K::Point_3
centroid(const typename CGAL_WRAP(K)::Point_3 &p,
         const typename CGAL_WRAP(K)::Point_3 &q,
         const typename CGAL_WRAP(K)::Point_3 &r, const K &k)
{
  return k.construct_centroid_3_object()(p, q, r);
}

template < class K >
inline
typename K::Point_3
centroid(const typename CGAL_WRAP(K)::Tetrahedron_3 &t, const K &k)
{
  return k.construct_centroid_3_object()(t);
}

template < class K >
inline
typename K::Point_3
centroid(const typename CGAL_WRAP(K)::Triangle_3 &t, const K &k)
{
  return k.construct_centroid_3_object()(t);
}

template < class K >
inline
typename K::Point_3
circumcenter(const typename CGAL_WRAP(K)::Point_3 &p,
             const typename CGAL_WRAP(K)::Point_3 &q, const K &k)
{
  return k.construct_circumcenter_3_object()(p, q);
}

template < class K >
inline
typename K::Point_3
circumcenter(const typename CGAL_WRAP(K)::Point_3 &p,
             const typename CGAL_WRAP(K)::Point_3 &q,
             const typename CGAL_WRAP(K)::Point_3 &r, const K &k)
{
  return k.construct_circumcenter_3_object()(p, q, r);
}

template < class K >
inline
typename K::Point_3
circumcenter(const typename CGAL_WRAP(K)::Point_3 &p,
             const typename CGAL_WRAP(K)::Point_3 &q,
             const typename CGAL_WRAP(K)::Point_3 &r,
             const typename CGAL_WRAP(K)::Point_3 &s, const K &k)
{
  return k.construct_circumcenter_3_object()(p, q, r, s);
}

template < class K >
inline
typename K::Point_3
circumcenter(const typename CGAL_WRAP(K)::Tetrahedron_3 &t, const K& k)
{
  return k.construct_circumcenter_3_object()(t);
}

template < class K >
inline
typename K::Point_3
circumcenter(const typename CGAL_WRAP(K)::Triangle_3 &t, const K& k)
{
  return k.construct_circumcenter_3_object()(t);
}

template < class K >
inline
bool
collinear(const typename CGAL_WRAP(K)::Point_3 &p,
          const typename CGAL_WRAP(K)::Point_3 &q,
          const typename CGAL_WRAP(K)::Point_3 &r,
          const K& k)
{
  return k.collinear_3_object()(p, q, r);
}

template < class K >
inline
bool
collinear_are_ordered_along_line(
          const typename CGAL_WRAP(K)::Point_3 &p,
          const typename CGAL_WRAP(K)::Point_3 &q,
          const typename CGAL_WRAP(K)::Point_3 &r,
          const K& k)
{
  return k.collinear_are_ordered_along_line_3_object()(p, q, r);
}

template < class K >
inline
bool
collinear_are_strictly_ordered_along_line(
          const typename CGAL_WRAP(K)::Point_3 &p,
          const typename CGAL_WRAP(K)::Point_3 &q,
          const typename CGAL_WRAP(K)::Point_3 &r,
          const K& k)
{
  return k.collinear_are_strictly_ordered_along_line_3_object()(p, q, r);
}

template < class K >
inline
Comparison_result
compare_distance_to_point(const typename CGAL_WRAP(K)::Point_3 &p,
                          const typename CGAL_WRAP(K)::Point_3 &q,
                          const typename CGAL_WRAP(K)::Point_3 &r,
			  const K& k)
{
  return k.compare_distance_3_object()(p, q, r);
}

template < class K >
inline
Comparison_result
compare_squared_distance(const typename CGAL_WRAP(K)::Point_3 &p,
                         const typename CGAL_WRAP(K)::Point_3 &q,
                         const typename CGAL_WRAP(K)::FT &d2,
		         const K& k)
{
  return k.compare_squared_distance_3_object()(p, q, d2);
}

template < class K >
inline
Comparison_result
compare_lexicographically_xyz(const typename CGAL_WRAP(K)::Point_3 &p,
                              const typename CGAL_WRAP(K)::Point_3 &q,
			      const K& k)
{
  return k.compare_xyz_3_object()(p, q);
}

template < class K >
inline
Comparison_result
compare_signed_distance_to_plane(const typename CGAL_WRAP(K)::Plane_3 &h,
				 const typename CGAL_WRAP(K)::Point_3 &p,
				 const typename CGAL_WRAP(K)::Point_3 &q,
				 const K &k)
{ 
  if (k.less_signed_distance_to_plane_3_object()(h, p, q)) return SMALLER;
  if (k.less_signed_distance_to_plane_3_object()(h, q, p)) return LARGER;
  return EQUAL;
}

template < class K >
inline
Comparison_result
compare_signed_distance_to_plane(const typename CGAL_WRAP(K)::Point_3 &hp,
				 const typename CGAL_WRAP(K)::Point_3 &hq,
				 const typename CGAL_WRAP(K)::Point_3 &hr,
				 const typename CGAL_WRAP(K)::Point_3 &p,
				 const typename CGAL_WRAP(K)::Point_3 &q,
				 const K &k)
{ 
  if (k.less_signed_distance_to_plane_3_object()(hp, hq, hr, p, q))
    return SMALLER;
  if (k.less_signed_distance_to_plane_3_object()(hp, hq, hr, q, p))
    return LARGER;
  return EQUAL;
}

template < class K >
inline
Comparison_result
compare_x(const typename CGAL_WRAP(K)::Point_3 &p,
	  const typename CGAL_WRAP(K)::Point_3 &q,
	  const K &k)
{ 
  return k.compare_x_3_object()(p, q);
}

template < class K >
inline
Comparison_result
compare_y(const typename CGAL_WRAP(K)::Point_3 &p,
	  const typename CGAL_WRAP(K)::Point_3 &q,
	  const K &k)
{ 
  return k.compare_y_3_object()(p, q);
}

template < class K >
inline
Comparison_result
compare_z(const typename CGAL_WRAP(K)::Point_3 &p,
	  const typename CGAL_WRAP(K)::Point_3 &q,
	  const K &k)
{ 
  return k.compare_z_3_object()(p, q);
}

template < class K >
inline
Comparison_result
compare_xyz(const typename CGAL_WRAP(K)::Point_3 &p,
	    const typename CGAL_WRAP(K)::Point_3 &q,
	    const K &k)
{ 
  return k.compare_xyz_3_object()(p, q);
}

template < class K >
inline
bool
coplanar(const typename CGAL_WRAP(K)::Point_3 &p,
         const typename CGAL_WRAP(K)::Point_3 &q,
         const typename CGAL_WRAP(K)::Point_3 &r,
         const typename CGAL_WRAP(K)::Point_3 &s, const K& k)
{
  return k.coplanar_3_object()(p, q, r, s);
}

template < class K >
inline
Orientation
coplanar_orientation(const typename CGAL_WRAP(K)::Point_3 &p,
                     const typename CGAL_WRAP(K)::Point_3 &q,
                     const typename CGAL_WRAP(K)::Point_3 &r,
                     const typename CGAL_WRAP(K)::Point_3 &s, const K& k)
{
  return k.coplanar_orientation_3_object()(p, q, r, s);
}

template < class K >
inline
Orientation
coplanar_orientation(const typename CGAL_WRAP(K)::Point_3 &p,
                     const typename CGAL_WRAP(K)::Point_3 &q,
                     const typename CGAL_WRAP(K)::Point_3 &r, const K& k)
{
  return k.coplanar_orientation_3_object()(p, q, r);
}

template < class K >
inline
Bounded_side
coplanar_side_of_bounded_circle(const typename CGAL_WRAP(K)::Point_3 &p,
                                const typename CGAL_WRAP(K)::Point_3 &q,
                                const typename CGAL_WRAP(K)::Point_3 &r,
                                const typename CGAL_WRAP(K)::Point_3 &t,
                                const K& k)
{
  return k.coplanar_side_of_bounded_circle_3_object()(p, q, r, t);
}

template < class K >
inline
typename K::Vector_3
cross_product(const typename CGAL_WRAP(K)::Vector_3 &v,
              const typename CGAL_WRAP(K)::Vector_3 &w, const K& k)
{
  return k.construct_cross_product_vector_3_object()(v, w);
}

template < class K >
inline
typename K::FT
determinant(const typename CGAL_WRAP(K)::Vector_3 &v0,
            const typename CGAL_WRAP(K)::Vector_3 &v1,
            const typename CGAL_WRAP(K)::Vector_3 &v2, const K &k)
{
  return k.compute_determinant_3_object()(v0, v1, v2);
}

template < class K >
inline
typename K::Line_3
equidistant_line(const typename CGAL_WRAP(K)::Point_3 &p,
                 const typename CGAL_WRAP(K)::Point_3 &q,
                 const typename CGAL_WRAP(K)::Point_3 &r, const K& k)
{
  return k.construct_equidistant_line_3_object()(p, q, r);
}