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/usr/include/SFCGAL/algorithm/ConsistentOrientationBuilder.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_ALGORITHM_CONSISTENTORIENTATIONBUILDER_H_
#define _SFCGAL_ALGORITHM_CONSISTENTORIENTATIONBUILDER_H_

#include <SFCGAL/config.h>

#include <SFCGAL/Geometry.h>

#include <SFCGAL/detail/graph/GeometryGraph.h>
#include <SFCGAL/detail/graph/GeometryGraphBuilder.h>

namespace SFCGAL {
namespace algorithm {

/**
 * Make orientation consistent in a triangle set
 * @ingroup detail
 */
class SFCGAL_API ConsistentOrientationBuilder {
public:
    typedef graph::GeometryGraph::vertex_descriptor        vertex_descriptor ;
    typedef graph::GeometryGraph::edge_descriptor          edge_descriptor ;
    typedef graph::GeometryGraph::directed_edge_descriptor directed_edge_descriptor ;

    /**
     * default constructor
     */
    ConsistentOrientationBuilder() ;

    /**
     * add a Triangle
     */
    void addTriangle( const Triangle& triangle ) ;
    /**
     * add a TriangulatedSurface
     */
    void addTriangulatedSurface( const TriangulatedSurface& triangulatedSurface ) ;

    /**
     * get the resulting TriangulatedSurface where each connected part
     * has consistent orientation.
     *
     * @throw SFCGAL::Exception if such a TriangulatedSurface can't be built
     */
    TriangulatedSurface buildTriangulatedSurface() ;

    /**
     * returns the number of triangles
     */
    inline size_t  numTriangles() const {
        return _triangles.size();
    }
    /**
     * returns the n-th triangle
     */
    Triangle       triangleN( const size_t& n ) const ;


    /**
     * [advanced]use after buildTriangulatedSurface
     */
    const std::set< size_t >& neighbors( const size_t& n ) const ;
private:
    graph::GeometryGraph                          _graph ;
    graph::GeometryGraphBuilder                   _graphBuilder ;
    std::vector< std::vector< edge_descriptor > > _triangles ;

    std::vector< bool >                           _visited ;
    std::vector< bool >                           _oriented ;
    std::vector< std::set< size_t > >             _neighbors ;


    /**
     * make triangle orientation consistent
     */
    void _makeOrientationConsistent() ;

    /**
     * compute neighbors for each triangles
     */
    void _computeNeighbors() ;

    /**
     * find the next triangle to visit (may select a new reference triangle)
     */
    int _findNextTriangle() ;

};


}//algorithm
}//SFCGAL


#endif