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/usr/include/SFCGAL/triangulate/triangulatePolygon.h is in libsfcgal-dev 1.2.2-1.

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/**
 *   SFCGAL
 *
 *   Copyright (C) 2012-2013 Oslandia <infos@oslandia.com>
 *   Copyright (C) 2012-2013 IGN (http://www.ign.fr)
 *
 *   This library is free software; you can redistribute it and/or
 *   modify it under the terms of the GNU Library General Public
 *   License as published by the Free Software Foundation; either
 *   version 2 of the License, or (at your option) any later version.
 *
 *   This library is distributed in the hope that it will be useful,
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *   Library General Public License for more details.

 *   You should have received a copy of the GNU Library General Public
 *   License along with this library; if not, see <http://www.gnu.org/licenses/>.
 */

#ifndef _SFCGAL_TRIANGULATE_TRIANGULATEPOLYGON_H_
#define _SFCGAL_TRIANGULATE_TRIANGULATEPOLYGON_H_

#include <SFCGAL/config.h>

#include <SFCGAL/Geometry.h>

namespace SFCGAL {
namespace triangulate {

/**
 * @brief Triangulate 3D polygons in a Geometry.
 *
 * @param g input geometry
 * @param triangulatedSurface resulting TriangulatedSurface
 * @param usePolygonPlanes use polygon plane or Triangulate in OXY plane
 * @todo unittest
 * @ingroup detail
 */
SFCGAL_API void triangulatePolygon3D(
    const Geometry& g,
    TriangulatedSurface& triangulatedSurface
);
/**
 * @brief Triangulate a 3D Polygon
 * @todo unittest
 * @ingroup detail
 */
SFCGAL_API void triangulatePolygon3D(
    const Polygon& g,
    TriangulatedSurface& triangulatedSurface
);
/**
 * @brief Triangulate a 3D Triangle (copy triangle)
 * @todo unittest
 * @ingroup detail
 */
SFCGAL_API void triangulatePolygon3D(
    const Triangle& g,
    TriangulatedSurface& triangulatedSurface
);
/**
 * @brief Triangulate a 3D TriangulatedSurface (copy triangles)
 *
 * @todo unittest
 * @ingroup detail
 */
SFCGAL_API void triangulatePolygon3D(
    const TriangulatedSurface& g,
    TriangulatedSurface& triangulatedSurface
);
/**
 * @brief Triangulate a 3D MultiPolygon
 * @todo unittest
 * @ingroup detail
 */
SFCGAL_API void opentriangulatePolygon3D(
    const GeometryCollection& g,
    TriangulatedSurface& triangulatedSurface
);
/**
 * @brief Triangulate 3D polygons in a PolyhedralSurface.
 *
 * @todo unittest
 * @ingroup detail
 */
SFCGAL_API void triangulatePolygon3D(
    const PolyhedralSurface& polyhedralSurface,
    TriangulatedSurface& triangulatedSurface
);
/**
 * @brief Triangulate a Solid
 *
 * @todo unittest
 * @ingroup detail
 */
SFCGAL_API void triangulatePolygon3D(
    const Solid& g,
    TriangulatedSurface& triangulatedSurface
);

}//algorithm
}//SFCGAL

#endif