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cgal/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/measure.h
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Sébastien Loriot 50510c05ea add include directive for license of all GPL header files
done using:
ack-grep "^GPL" */package_info/*/license.txt -l | awk -F "/" '{print $1}' > /tmp/gpl_packages
for i in `cat /tmp/gpl_packages | \
          grep -v Operations_on_polyhedra | \
          grep -v Algebraic_kernel_for_circles | \
          grep -v Algebraic_kernel_for_spheres | \
          grep -v Polyhedron_IO`;
do
  echo $i
  python Scripts/developer_scripts/add_license_in_pkg_header.py $i
done
python Scripts/developer_scripts/add_license_in_pkg_header.py Operations_on_polyhedra Polygon_mesh_processing
python Scripts/developer_scripts/add_license_in_pkg_header.py Algebraic_kernel_for_circles Circular_kernel_2
python Scripts/developer_scripts/add_license_in_pkg_header.py Algebraic_kernel_for_spheres Circular_kernel_3
python Scripts/developer_scripts/add_license_in_pkg_header.py Polyhedron_IO Polyhedron
2017-01-19 15:20:25 +01:00

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17 KiB
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// Copyright (c) 2015 GeometryFactory (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.
//
// $URL$
// $Id$
//
//
// Author(s) : Andreas Fabri
#ifndef CGAL_POLYGON_MESH_PROCESSING_MEASURE_H
#define CGAL_POLYGON_MESH_PROCESSING_MEASURE_H
#include <CGAL/license/Polygon_mesh_processing.h>
#include <CGAL/boost/graph/iterator.h>
#include <CGAL/boost/graph/helpers.h>
#include <CGAL/boost/graph/properties.h>
#include <boost/graph/graph_traits.hpp>
#include <CGAL/Polygon_mesh_processing/internal/named_function_params.h>
#include <CGAL/Polygon_mesh_processing/internal/named_params_helper.h>
#include <CGAL/squared_distance_3.h>
#include <CGAL/Kernel/global_functions_3.h>
#ifdef DOXYGEN_RUNNING
#define CGAL_PMP_NP_TEMPLATE_PARAMETERS NamedParameters
#define CGAL_PMP_NP_CLASS NamedParameters
#endif
namespace CGAL {
// workaround for area(face_range,tm) overload
template<typename CGAL_PMP_NP_TEMPLATE_PARAMETERS, typename NP>
class GetGeomTraits<CGAL_PMP_NP_CLASS, NP>
{
public:
struct type{};
};
namespace Polygon_mesh_processing {
/**
* \ingroup measure_grp
* computes the length of an edge of a given polygon mesh.
* The edge is given by one of its halfedges, or the edge itself.
*
* @tparam PolygonMesh a model of `HalfedgeGraph`
* @tparam NamedParameters a sequence of \ref namedparameters
*
* @param h one halfedge of the edge to compute the length
* @param pmesh the polygon mesh to which `h` belongs
* @param np optional sequence of \ref namedparameters among the ones listed below
*
* \cgalNamedParamsBegin
* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
* If this parameter is omitted, an internal property map for
* `CGAL::vertex_point_t` should be available in `PolygonMesh`\cgalParamEnd
* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
* \cgalNamedParamsEnd
*
* @return the length of `h`. The return type `FT` is a number type. It is
* either deduced from the `geom_traits` \ref namedparameters if provided,
* or the geometric traits class deduced from the point property map
* of `pmesh`.
*
* \warning This function involves a square root computation.
* If `FT` does not have a `sqrt()` operation, the square root computation
* will be done approximately.
*
* @sa `face_border_length()`
*/
template<typename PolygonMesh,
typename NamedParameters>
#ifdef DOXYGEN_RUNNING
FT
#else
typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT
#endif
edge_length(typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
, const PolygonMesh& pmesh
, const NamedParameters& np)
{
using boost::choose_param;
using boost::get_param;
typename GetVertexPointMap<PolygonMesh, NamedParameters>::const_type
vpm = choose_param(get_param(np, vertex_point),
get_const_property_map(CGAL::vertex_point, pmesh));
return CGAL::approximate_sqrt(CGAL::squared_distance(get(vpm, source(h, pmesh)),
get(vpm, target(h, pmesh))));
}
template<typename PolygonMesh>
typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
CGAL::vertex_point_t>::type>::Kernel::FT
edge_length(typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
, const PolygonMesh& pmesh)
{
return edge_length(h, pmesh,
CGAL::Polygon_mesh_processing::parameters::all_default());
}
// edge overloads
template<typename PolygonMesh,
typename NamedParameters>
typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT
edge_length(typename boost::graph_traits<PolygonMesh>::edge_descriptor e
, const PolygonMesh& pmesh
, const NamedParameters& np)
{
return edge_length(halfedge(e,pmesh), pmesh, np);
}
template<typename PolygonMesh>
typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
CGAL::vertex_point_t>::type>::Kernel::FT
edge_length(typename boost::graph_traits<PolygonMesh>::edge_descriptor e
, const PolygonMesh& pmesh)
{
return edge_length(halfedge(e,pmesh), pmesh);
}
/**
* \ingroup measure_grp
* computes the length of the border polyline
* that contains a given halfedge.
*
* @tparam PolygonMesh a model of `HalfedgeGraph`
* @tparam NamedParameters a sequence of \ref namedparameters
*
* @param h a halfedge of the border polyline of which the length is computed
* @param pmesh the polygon mesh to which `h` belongs
* @param np optional sequence of \ref namedparameters among the ones listed below
*
* \cgalNamedParamsBegin
* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
* If this parameter is omitted, an internal property map for
* `CGAL::vertex_point_t` should be available in `PolygonMesh`\cgalParamEnd
* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
* \cgalNamedParamsEnd
*
* @return the length of the sequence of border edges of `face(h, pmesh)`.
* The return type `FT` is a number type. It is
* either deduced from the `geom_traits` \ref namedparameters if provided,
* or the geometric traits class deduced from the point property map
* of `pmesh`.
*
* \warning This function involves a square root computation.
* If `Kernel::FT` does not have a `sqrt()` operation, the square root computation
* will be done approximately.
*
* @sa `edge_length()`
*/
template<typename PolygonMesh,
typename NamedParameters>
#ifdef DOXYGEN_RUNNING
FT
#else
typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT
#endif
face_border_length(
typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
, const PolygonMesh& pmesh
, const NamedParameters& np)
{
typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT result = 0.;
BOOST_FOREACH(typename boost::graph_traits<PolygonMesh>::halfedge_descriptor haf,
halfedges_around_face(h, pmesh))
{
result += edge_length(haf, pmesh, np);
exact(result);
}
return result;
}
template<typename PolygonMesh>
typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
CGAL::vertex_point_t>::type>::Kernel::FT
face_border_length(
typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
, const PolygonMesh& pmesh)
{
return face_border_length(h, pmesh,
CGAL::Polygon_mesh_processing::parameters::all_default());
}
/**
* \ingroup measure_grp
* computes the area of a face of a given
* triangulated surface mesh.
*
* @tparam TriangleMesh a model of `HalfedgeGraph`
* @tparam NamedParameters a sequence of \ref namedparameters
*
* @param f the face of which the area is computed
* @param tmesh the triangulated surface mesh to which `f` belongs
* @param np optional sequence of \ref namedparameters among the ones listed below
*
* \cgalNamedParamsBegin
* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
* If this parameter is omitted, an internal property map for
* `CGAL::vertex_point_t` should be available in `TriangleMesh`\cgalParamEnd
* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
* \cgalNamedParamsEnd
*
*@pre `f != boost::graph_traits<TriangleMesh>::%null_face()`
*
* @return the area of `f`.
* The return type `FT` is a number type. It is
* either deduced from the `geom_traits` \ref namedparameters if provided,
* or the geometric traits class deduced from the point property map
* of `tmesh`.
*
* @sa `area()`
*/
template<typename TriangleMesh,
typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
#ifdef DOXYGEN_RUNNING
FT
#else
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
#endif
face_area(typename boost::graph_traits<TriangleMesh>::face_descriptor f
, const TriangleMesh& tmesh
, const CGAL_PMP_NP_CLASS& np)
{
using boost::choose_param;
using boost::get_param;
CGAL_precondition(boost::graph_traits<TriangleMesh>::null_face() != f);
typename GetVertexPointMap<TriangleMesh, CGAL_PMP_NP_CLASS>::const_type
vpm = choose_param(get_param(np, vertex_point),
get_const_property_map(CGAL::vertex_point, tmesh));
typedef typename boost::graph_traits<TriangleMesh>::halfedge_descriptor halfedge_descriptor;
halfedge_descriptor hd = halfedge(f, tmesh);
halfedge_descriptor nhd = next(hd, tmesh);
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type traits;
return approximate_sqrt(
traits.compute_squared_area_3_object()(get(vpm, source(hd, tmesh)),
get(vpm, target(hd, tmesh)),
get(vpm, target(nhd, tmesh))));
}
template<typename TriangleMesh>
typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
CGAL::vertex_point_t>::type>::Kernel::FT
face_area(typename boost::graph_traits<TriangleMesh>::face_descriptor f
, const TriangleMesh& tmesh)
{
return face_area(f, tmesh,
CGAL::Polygon_mesh_processing::parameters::all_default());
}
/**
* \ingroup measure_grp
* computes the area of a range of faces of a given
* triangulated surface mesh.
*
* @tparam FaceRange range of `boost::graph_traits<PolygonMesh>::%face_descriptor`,
model of `Range`.
Its iterator type is `InputIterator`.
* @tparam TriangleMesh a model of `HalfedgeGraph`
* @tparam NamedParameters a sequence of \ref namedparameters
*
* @param face_range the range of faces of which the area is computed
* @param tmesh the triangulated surface mesh to which the faces of `face_range` belong
* @param np optional sequence of \ref namedparameters among the ones listed below
*
* \cgalNamedParamsBegin
* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
* If this parameter is omitted, an internal property map for
* `CGAL::vertex_point_t` should be available in `TriangleMesh`\cgalParamEnd
* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel` \cgalParamEnd
* \cgalNamedParamsEnd
*
* @return sum of face areas of `faces`.
* The return type `FT` is a number type. It is
* either deduced from the `geom_traits` \ref namedparameters if provided,
* or the geometric traits class deduced from the point property map
* of `tmesh`.
*
* \warning This function involves a square root computation.
* If `Kernel::FT` does not have a `sqrt()` operation, the square root computation
* will be done approximately.
*
* @sa `face_area()`
*/
template<typename FaceRange,
typename TriangleMesh,
typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
#ifdef DOXYGEN_RUNNING
FT
#else
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
#endif
area(FaceRange face_range
, const TriangleMesh& tmesh
, const CGAL_PMP_NP_CLASS& np)
{
typedef typename boost::graph_traits<TriangleMesh>::face_descriptor face_descriptor;
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT result = 0.;
BOOST_FOREACH(face_descriptor f, face_range)
{
result += face_area(f, tmesh, np);
exact(result);
}
return result;
}
template<typename FaceRange, typename TriangleMesh>
typename GetGeomTraits<TriangleMesh>::type::FT
area(FaceRange face_range, const TriangleMesh& tmesh)
{
return area(face_range, tmesh,
CGAL::Polygon_mesh_processing::parameters::all_default());
}
/**
* \ingroup measure_grp
* computes the surface area of a triangulated surface mesh.
*
* @tparam TriangleMesh a model of `HalfedgeGraph`
* @tparam NamedParameters a sequence of \ref namedparameters
*
* @param tmesh the triangulated surface mesh
* @param np optional sequence of \ref namedparameters among the ones listed below
*
* \cgalNamedParamsBegin
* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
* If this parameter is omitted, an internal property map for
* `CGAL::vertex_point_t` should be available in `TriangleMesh`\cgalParamEnd
* \cgalParamBegin{geom_traits}an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
* \cgalNamedParamsEnd
*
* @return the surface area of `tmesh`.
* The return type `FT` is a number type. It is
* either deduced from the `geom_traits` \ref namedparameters if provided,
* or the geometric traits class deduced from the point property map
* of `tmesh`.
*
* \warning This function involves a square root computation.
* If `Kernel::FT` does not have a `sqrt()` operation, the square root computation
* will be done approximately.
*
* @sa `face_area()`
*/
template<typename TriangleMesh
, typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
#ifdef DOXYGEN_RUNNING
FT
#else
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
#endif
area(const TriangleMesh& tmesh, const CGAL_PMP_NP_CLASS& np)
{
return area(faces(tmesh), tmesh, np);
}
template<typename TriangleMesh>
typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
CGAL::vertex_point_t>::type>::Kernel::FT
area(const TriangleMesh& tmesh)
{
return area(faces(tmesh), tmesh
, CGAL::Polygon_mesh_processing::parameters::all_default());
}
/**
* \ingroup measure_grp
* computes the volume of the domain bounded by
* a closed triangulated surface mesh.
*
* @tparam TriangleMesh a model of `HalfedgeGraph`
* @tparam NamedParameters a sequence of \ref namedparameters
*
* @param tmesh the closed triangulated surface mesh bounding the volume
* @param np optional sequence of \ref namedparameters among the ones listed below
*
* @pre `tmesh` is closed
*
* \cgalNamedParamsBegin
* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
* If this parameter is omitted, an internal property map for
* `CGAL::vertex_point_t` should be available in `TriangleMesh`\cgalParamEnd
* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
* \cgalNamedParamsEnd
*
* @return the volume bounded by `tmesh`.
* The return type `FT` is a number type. It is
* either deduced from the `geom_traits` \ref namedparameters if provided,
* or the geometric traits class deduced from the point property map
* of `tmesh`.
*/
template<typename TriangleMesh
, typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
#ifdef DOXYGEN_RUNNING
FT
#else
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
#endif
volume(const TriangleMesh& tmesh, const CGAL_PMP_NP_CLASS& np)
{
CGAL_assertion(is_triangle_mesh(tmesh));
CGAL_assertion(is_closed(tmesh));
using boost::choose_param;
using boost::get_param;
typename GetVertexPointMap<TriangleMesh, CGAL_PMP_NP_CLASS>::const_type
vpm = choose_param(get_param(np, vertex_point),
get_const_property_map(CGAL::vertex_point, tmesh));
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::Point_3
origin(0, 0, 0);
typedef typename boost::graph_traits<TriangleMesh>::face_descriptor face_descriptor;
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT volume = 0.;
typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
CGAL::vertex_point_t>::type>::Kernel::Compute_volume_3 cv3;
BOOST_FOREACH(face_descriptor f, faces(tmesh))
{
volume += cv3(origin,
get(vpm, target(halfedge(f, tmesh), tmesh)),
get(vpm, target(next(halfedge(f, tmesh), tmesh), tmesh)),
get(vpm, target(prev(halfedge(f, tmesh), tmesh), tmesh)));
exact(volume);
}
return volume;
}
template<typename TriangleMesh>
typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
CGAL::vertex_point_t>::type>::Kernel::FT
volume(const TriangleMesh& tmesh)
{
return volume(tmesh,
CGAL::Polygon_mesh_processing::parameters::all_default());
}
}
}
#endif // CGAL_POLYGON_MESH_PROCESSING_MEASURE_H