map3.cpp 26.1 KB
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/*******************************************************************************
* CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps  *
* version 0.1                                                                  *
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* Copyright (C) 2009-2011, IGG Team, LSIIT, University of Strasbourg           *
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*                                                                              *
* This library is free software; 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; either version 2.1 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 Lesser General Public License  *
* for more details.                                                            *
*                                                                              *
* You should have received a copy of the GNU Lesser General Public License     *
* along with this library; if not, write to the Free Software Foundation,      *
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301 USA.           *
*                                                                              *
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* Web site: http://cgogn.u-strasbg.fr/                                         *
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* Contact information: cgogn@unistra.fr                                        *
*                                                                              *
*******************************************************************************/

#include "Topology/map/map3.h"

namespace CGoGN
{

/*! @name Generator and Deletor
 *  To generate or delete volumes in a 3-map
 *************************************************************************/
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void Map3::deleteVolume(Dart d)
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{
	DartMarkerStore mark(*this);		// Lock a marker

	std::vector<Dart> visitedFaces;		// Faces that are traversed
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	visitedFaces.reserve(512);
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	visitedFaces.push_back(d);			// Start with the face of d

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	mark.markOrbitInParent(FACE, d) ;
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	for(std::vector<Dart>::iterator face = visitedFaces.begin(); face != visitedFaces.end(); ++face)
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	{
		Dart e = *face ;

		unsewVolumes(e);

		do	// add all face neighbours to the table
		{
			Dart ee = phi2(e) ;
			if(!mark.isMarked(ee)) // not already marked
			{
				visitedFaces.push_back(ee) ;
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				mark.markOrbitInParent(FACE, ee) ;
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			}
			e = phi1(e) ;
		} while(e != *face) ;
	}

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	Dart dd = phi3(d) ;
	Map2::deleteCC(d) ;
	Map2::deleteCC(dd) ;
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}

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void Map3::fillHole(Dart d)
{
	assert(isBoundaryMarked(d)) ;
	boundaryUnmarkOrbit(VOLUME, d) ;
}

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/*! @name Topological Operators
 *  Topological operations on 3-maps
 *************************************************************************/

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Dart Map3::deleteVertex(Dart d)
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{
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	if(isBoundaryVertex(d))
		return NIL ;

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	//Save the darts around the vertex
	//(one dart per face should be enough)
	std::vector<Dart> fstoretmp;
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	fstoretmp.reserve(128);
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	FunctorStore fs(fstoretmp);
	foreach_dart_of_vertex(d, fs);

	//just one dart per face
	std::vector<Dart> fstore;
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	fstore.reserve(128);
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	DartMarker mf(*this);
	for(std::vector<Dart>::iterator it = fstoretmp.begin() ; it != fstoretmp.end() ; ++it)
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	{
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		if(!mf.isMarked(*it))
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		{
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			mf.markOrbit(FACE, *it);
			fstore.push_back(*it);
		}
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	}
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	Dart res = NIL ;
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	for(std::vector<Dart>::iterator it = fstore.begin() ; it != fstore.end() ; ++it)
	{
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		Dart fit = *it ;
		Dart end = phi_1(fit) ;
		fit = phi1(fit) ;
		while(fit != end)
		{
			Dart d2 = phi2(fit) ;
			Dart d3 = phi3(fit) ;
			Dart d32 = phi2(d3) ;
			if(res == NIL)
				res = d2 ;
			phi2unsew(d2) ;
			phi2unsew(d32) ;
			phi2sew(d2, d32) ;
			phi2sew(fit, d3) ;
		}
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	}
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	Map2::deleteCC(d) ;
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	return res ;
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}

void Map3::cutEdge(Dart d)
{
	Dart prev = d;
	Dart dd = alpha2(d);
	Map2::cutEdge(d);

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	while (dd != d)
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	{
		prev = dd;
		dd = alpha2(dd);

		Map2::cutEdge(prev);

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		Dart d3 = phi3(prev);
		phi3unsew(prev);
		phi3sew(prev, phi1(d3));
		phi3sew(d3, phi1(prev));
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	}

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	Dart d3 = phi3(d);
	phi3unsew(d);
	phi3sew(d, phi1(d3));
	phi3sew(d3, phi1(d));
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}

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bool Map3::uncutEdge(Dart d)
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{
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	if(vertexDegree(phi1(d)) == 2)
	{
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		Dart prev = d ;
		phi3unsew(phi1(prev)) ;
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		Dart dd = d;
		do
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		{
			prev = dd;
			dd = alpha2(dd);
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			phi3unsew(phi2(prev)) ;
			phi3unsew(phi2(phi1(prev))) ;
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			Map2::uncutEdge(prev);
			phi3sew(dd, phi2(prev));
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		} while (dd != d) ;

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		return true;
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	}
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	return false;
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}

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void Map3::splitFace(Dart d, Dart e)
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{
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	assert(d != e && sameOrientedFace(d, e)) ;
	Map2::splitFace(d, e);
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	Dart dd = phi1(phi3(d));
	Dart ee = phi1(phi3(e));
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	Map2::splitFace(dd, ee);
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	phi3sew(phi_1(d), phi_1(ee));
	phi3sew(phi_1(e), phi_1(dd));
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}

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void Map3::sewVolumes(Dart d, Dart e, bool withBoundary)
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{
	assert(faceDegree(d) == faceDegree(e));

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	// if sewing with fixed points
	if (!withBoundary)
	{
		assert(phi3(d) == d && phi3(e) == e) ;
		Dart fitD = d ;
		Dart fitE = e ;
		do
		{
			phi3sew(fitD, fitE) ;
			fitD = phi1(fitD) ;
			fitE = phi_1(fitE) ;
		} while(fitD != d) ;
		return ;
	}

	Dart dd = phi3(d) ;
	Dart ee = phi3(e) ;

	Dart fitD = dd ;
	Dart fitE = ee ;
	do
	{
		Dart fitD2 = phi2(fitD) ;
		Dart fitE2 = phi2(fitE) ;
		if(fitD2 != fitE)
		{
			phi2unsew(fitD) ;
			phi2unsew(fitE) ;
			phi2sew(fitD2, fitE2) ;
			phi2sew(fitD, fitE) ;
		}
		fitD = phi1(fitD) ;
		fitE = phi_1(fitE) ;
	} while(fitD != d) ;
	Map2::deleteCC(dd) ;

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	Dart fitD = d ;
	Dart fitE = e ;
	do
	{
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		phi3sew(fitD, fitE) ;
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		fitD = phi1(fitD) ;
		fitE = phi_1(fitE) ;
	} while(fitD != d) ;
}

void Map3::unsewVolumes(Dart d)
{
	Dart fitD = d;
	do
	{
		phi3unsew(fitD);
		fitD = phi1(fitD);
	} while(fitD != d);
}

bool Map3::mergeVolumes(Dart d)
{
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	if(!isBoundaryFace(d))
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	{
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		Dart e = phi3(d);
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		Map3::unsewVolumes(d); //TODO a enlever ??
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		Map2::mergeVolumes(d, e); // merge the two volumes along common face
		return true ;
	}
	return false ;
}

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void Map3::splitVolume(std::vector<Dart>& vd)
{
	Dart e = vd.front();
	Dart e2 = phi2(e);

	//unsew the edge path
	for(std::vector<Dart>::iterator it = vd.begin() ; it != vd.end() ; ++it)
		Map2::unsewFaces(*it);

	//close the two holes
	Map2::closeHole(e);
	Map2::closeHole(e2);

	//sew the two connexe componnents
	Map3::sewVolumes(phi2(e), phi2(e2));
}

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/*! @name Topological Queries
 *  Return or set various topological information
 *************************************************************************/

bool Map3::sameOrientedVertex(Dart d, Dart e)
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{
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	return sameVertex(d,e);
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}

bool Map3::sameVertex(Dart d, Dart e)
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{
	DartMarkerStore mv(*this);	// Lock a marker

	std::list<Dart> darts_list;			//Darts that are traversed
	darts_list.push_back(d);			//Start with the dart d
	mv.mark(d);

	for(std::list<Dart>::iterator darts = darts_list.begin();darts != darts_list.end() ; ++darts)
	{
		Dart dc = *darts;

		if(dc==e)
			return true;

		//add phi21 and phi23 successor if they are not marked yet
		Dart d2 = phi2(dc);
		if(d2 != dc)
		{
			Dart d21 = phi1(d2); // turn in volume
			Dart d23 = phi3(d2); // change volume

			if(!mv.isMarked(d21))
			{
				darts_list.push_back(d21);
				mv.mark(d21);
			}

			if((d23!=d2) && !mv.isMarked(d23))
			{
				darts_list.push_back(d23);
				mv.mark(d23);
			}
		}
	}

	return false;
}

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unsigned int Map3::vertexDegree(Dart d)
{
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	unsigned int count = 0;
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	DartMarkerStore mv(*this);	// Lock a marker

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	std::list<Dart> darts_list;			//Darts that are traversed
	darts_list.push_back(d);			//Start with the dart d
	std::list<Dart>::iterator darts;
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	mv.mark(d);

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	for(darts = darts_list.begin(); darts != darts_list.end() ; ++darts)
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	{
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		Dart dc = *darts;
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		//add phi21 and phi23 successor if they are not marked yet
		Dart d2 = phi2(dc);
		Dart d21 = phi1(d2); // turn in volume
		Dart d23 = phi3(d2); // change volume

		if(!mv.isMarked(d21))
		{
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			darts_list.push_back(d21);
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			mv.mark(d21);
		}

		if((d23!=d2) && !mv.isMarked(d23))
		{
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			darts_list.push_back(d23);
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			mv.mark(d23);
		}
	}

	DartMarkerStore me(*this);

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	for(darts = darts_list.begin(); darts != darts_list.end() ; ++darts)
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	{
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		if(!me.isMarked(*darts))
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		{
			++count;
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			me.markOrbit(EDGE, *darts);
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		}
	}

	return count;
}

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bool Map3::isBoundaryVertex(Dart d)
{
	DartMarkerStore mv(*this);			// Lock a marker
	bool found = false;					// Last functor return value

	std::list<Dart> darts_list;			//Darts that are traversed
	darts_list.push_back(d);			//Start with the dart d
	std::list<Dart>::iterator darts;

	mv.mark(d);

	for(darts = darts_list.begin(); !found && darts != darts_list.end() ; ++darts)
	{
		Dart dc = *darts;

		//add phi21 and phi23 successor if they are not marked yet
		Dart d2 = phi2(dc);
		Dart d21 = phi1(d2); // turn in volume
		Dart d23 = phi3(d2); // change volume

		if(!mv.isMarked(d21))
		{
			darts_list.push_back(d21);
			mv.mark(d21);
		}

		if((d23!=d2) && !mv.isMarked(d23))
		{
			darts_list.push_back(d23);
			mv.mark(d23);
		}

		found = phi3(dc) == dc;
	}

	return found;
}

bool Map3::sameOrientedEdge(Dart d, Dart e)
{
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	return sameEdge(d,e);
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}

bool Map3::sameEdge(Dart d, Dart e)
{
	Dart dd = d;
	do
	{
		if(dd==e || phi2(dd)==e)
			return true;

		dd = alpha2(dd);
	} while (dd!=d);

	return false;
}

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unsigned int Map3::edgeDegree(Dart d)
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{
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	unsigned int deg = 0;
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	Dart e = d;

	do
	{
		deg++;
		e = alpha2(e);
	} while(e != d);

	return deg;
}

bool Map3::sameFace(Dart d, Dart e)
{
	if(phi3(d) != d)
		if(Map2::sameOrientedFace(phi3(d), e))
			return true;

	return Map2::sameOrientedFace(d,e);
}

bool Map3::isBoundaryFace(Dart d)
{
	return (phi3(d) == d);
}

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bool Map3::isBoundaryVolume(Dart d)
{
	bool isBoundary = false;
	DartMarkerStore mark(*this);		// Lock a marker

	std::vector<Dart> visitedFaces ;
	visitedFaces.reserve(100) ;
	visitedFaces.push_back(d) ;
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	mark.markOrbit(FACE, d) ;
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	for(std::vector<Dart>::iterator face = visitedFaces.begin(); !isBoundary && face != visitedFaces.end(); ++face)
	{
		Dart e = *face ;

		//if this dart is not phi3-linked
		if(phi3(e) == e)
			isBoundary = true;

		if(!isBoundary)
		{

			do	// add all face neighbours to the table
			{
				Dart ee = phi2(e) ;
				if(!mark.isMarked(ee)) // not already marked
				{
					visitedFaces.push_back(ee) ;
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					mark.markOrbit(FACE, ee) ;
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				}
				e = phi1(e) ;
			} while(e != *face) ;
		}
	}

	return isBoundary;
}

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bool Map3::check()
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{
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    std::cout << "Check: topology begin" << std::endl;
    DartMarker m(*this);
    for(Dart d = Map3::begin(); d != Map3::end(); Map3::next(d))
    {
        Dart d3 = phi3(d);
        if (phi3(d3) != d) // phi3 involution ?
		{
            std::cout << "Check: phi3 is not an involution" << std::endl;
            return false;
        }
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        if(d3 != d)
        {
        	if(phi1(d3) != phi3(phi_1(d)))
        	{
        		std::cout << "Check: phi3 , faces are not entirely sewn" << std::endl;
        		return false;
        	}
        }
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        Dart d2 = phi2(d);
        if (phi2(d2) != d) // phi2 involution ?
		{
            std::cout << "Check: phi2 is not an involution" << std::endl;
            return false;
        }
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        Dart d1 = phi1(d);
        if (phi_1(d1) != d) // phi1 a une image correcte ?
		{
            std::cout << "Check: unconsistent phi_1 link" << std::endl;
            return false;
        }
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        if (m.isMarked(d1)) // phi1 a un seul antécédent ?
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		{
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            std::cout << "Check: dart with two phi1 predecessors" << std::endl;
            return false;
        }
        m.mark(d1);
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        if (d1 == d)
            std::cout << "Check: (warning) face loop (one edge)" << std::endl;

        if (phi1(d1) == d)
            std::cout << "Check: (warning) face with only two edges" << std::endl;

        if (phi2(d1) == d)
            std::cout << "Check: (warning) dandling edge (phi2)" << std::endl;

        if (phi3(d1) == d)
            std::cout << "Check: (warning) dandling edge (phi3)" << std::endl;
    }

    for(Dart d = this->begin(); d != this->end(); this->next(d))
    {
        if (!m.isMarked(d)) // phi1 a au moins un antécédent ?
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		{
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        	//std::cout << "dart = " << d << std::endl;
            std::cout << "Check: dart with no phi1 predecessor" << std::endl;
            return false;
        }
    }
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    std::cout << "Check: topology ok" << std::endl;
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    std::cout << "nb vertex orbits" << getNbOrbits(VERTEX) << std::endl ;
    std::cout << "nb vertex cells" << m_attribs[VERTEX].size() << std::endl ;

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    std::cout << "nb edge orbits" << getNbOrbits(EDGE) << std::endl ;
    std::cout << "nb edge cells" << m_attribs[EDGE].size() << std::endl ;

    std::cout << "nb face orbits" << getNbOrbits(FACE) << std::endl ;
    std::cout << "nb face cells" << m_attribs[FACE].size() << std::endl ;

    std::cout << "nb volume orbits" << getNbOrbits(VOLUME) << std::endl ;
    std::cout << "nb volume cells" << m_attribs[VOLUME].size() << std::endl ;


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    return true;
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}

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/*! @name Cell Functors
 *  Apply functors to all darts of a cell
 *************************************************************************/

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bool Map3::foreach_dart_of_oriented_vertex(Dart d, FunctorType& f, unsigned int thread)
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{
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	DartMarkerStore mv(*this,thread);	// Lock a marker
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	bool found = false;					// Last functor return value

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	std::vector<Dart> darts_list;		// Darts that are traversed
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	darts_list.reserve(512);
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	darts_list.push_back(d);			// Start with the dart d
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	mv.mark(d);

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	for(std::vector<Dart>::iterator darts = darts_list.begin(); !found && darts != darts_list.end() ; ++darts)
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	{
		Dart dc = *darts;

		//add phi21 and phi23 successor if they are not marked yet
		Dart d2 = phi2(dc);
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		if(d2 != dc)
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		{
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			Dart d21 = phi1(d2); // turn in volume
			Dart d23 = phi3(d2); // change volume
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			if(!mv.isMarked(d21))
			{
				darts_list.push_back(d21);
				mv.mark(d21);
			}

			if((d23!=d2) && !mv.isMarked(d23))
			{
				darts_list.push_back(d23);
				mv.mark(d23);
			}
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		}

		found = f(dc);
	}

	return found;
}

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bool Map3::foreach_dart_of_edge(Dart d, FunctorType& f, unsigned int thread)
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{
	Dart dNext = d;
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	do
	{
		if (Map2::foreach_dart_of_edge(dNext, f, thread))
			return true;
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		dNext = alpha2(dNext);
	} while (dNext != d);
	return false;
}

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bool Map3::foreach_dart_of_open_edge(Dart d, FunctorType& f, unsigned int thread)
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{
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	DartMarkerStore mv(*this,thread);	// Lock a marker
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	bool found = false;					// Last functor return value

	std::list<Dart> darts_list;			//Darts that are traversed
	darts_list.push_back(d);			//Start with the dart d
	std::list<Dart>::iterator darts;

	mv.mark(d);

	for(darts = darts_list.begin(); !found && darts != darts_list.end() ; ++darts)
	{
		Dart d1 = *darts;

		Dart d3 = phi2(d1); // change face
		Dart d4 = phi3(d1); // change volume

		if (!mv.isMarked(d3))
		{
			darts_list.push_back(d3);
			mv.mark(d3);
		}
		if (!mv.isMarked(d4))
		{
			darts_list.push_back(d4);
			mv.mark(d4);
		}

		found = f(d1);
	}


	return found;
}

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bool Map3::foreach_dart_of_face(Dart d, FunctorType& f, unsigned int thread)
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{
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	if (foreach_dart_of_oriented_face(d, f, thread))
		return true;
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	Dart d3 = phi3(d);
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	if (d3 != d)
		return foreach_dart_of_oriented_face(d3, f, thread);
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	return false;
}

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bool Map3::foreach_dart_of_cc(Dart d, FunctorType& f, unsigned int thread)
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{
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	DartMarkerStore mv(*this,thread);			// Lock a marker
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	bool found = false;					// Last functor return value

	std::list<Dart> darts_list;			//Darts that are traversed
	darts_list.push_back(d);			//Start with the dart d
	std::list<Dart>::iterator darts;

	mv.mark(d);


	for(darts = darts_list.begin(); !found && darts != darts_list.end() ; ++darts)
	{
		Dart d1 = *darts;

		// add all successors if they are not marked yet
		Dart d2 = phi1(d1); // turn in face
		Dart d3 = phi2(d1); // change volume
		Dart d4 = phi3(d1); // change volume

		if (!mv.isMarked(d2))
		{
			darts_list.push_back(d2);
			mv.mark(d2);
		}
		if (!mv.isMarked(d3))
		{
			darts_list.push_back(d2);
			mv.mark(d2);
		}
		if (!mv.isMarked(d4))
		{
			darts_list.push_back(d4);
			mv.mark(d4);
		}

		found = f(d1);	// functor say finish
	}

	return found;
}

//bool Map3::foreach_connex_volume(Dart d, int degree, FunctorType& f, FunctorSelect<Dart>& s)
//{
//	Marker m = this->getNewMarker();
//	bool found = false;
//	std::list<Dart> darts_list;
//	std::list<Dart> neighbours_list;
//	darts_list.push_back(d);
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//	this->markOrbit(DART,d,m);
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//
//	std::list<Dart>::iterator prem = darts_list.begin();
//
//	while (!found && prem != darts_list.end()) {
//		Dart d1 = *prem;
//		Dart dd;
//		switch(degree) {
//			case 0 : //vertex connexity
//				{
//					dd=d1;
//					std::list<Dart> darts_list2;
//					darts_list2.push_back(dd);
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//					this->markOrbit(DART,dd,m);
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//					neighbours_list.push_back(dd);
//					std::list<Dart>::iterator prem2 = darts_list2.begin();
//
//					while (!found && prem2 != darts_list2.end()) {
//						Dart dd1 = *prem2;
//						Dart d3 = phi2(dd1);
//						Dart d2 = phi1(d3); // turn in volume
//						Dart d4 = phi3(d3); // change volume
//
//						if(s(dd1))
//							found =  f(dd1);
//
//						if(!this->isMarkedDart(d2,m)) {
//							darts_list2.push_back(d2);
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//							markOrbit(DART,d2,m);
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//						}
//
//						if(!this->isMarkedDart(d4,m)) {
//							darts_list2.push_back(d4);
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//							markOrbit(DART,d4,m);
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//						}
//
//						++prem2;
//					}
//				}
//				break;
//			case 1 : //edge connexity
//				dd=d1;
//				neighbours_list.push_back(dd);
//				do {
//					if(!this->isMarkedDart(dd,m)) {
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//						markOrbit(DART,dd,m);
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//						if(s(dd))
//							found =  f(dd);
//					}
//					dd = alpha2(dd);
//				} while(!found && dd!=d1);
//				break;
//			default : //face connexity
//				dd = phi3(d1);
//				if(!this->isMarkedDart(dd,m)) {
//					neighbours_list.push_back(dd);
//					markOrbit(2,dd,m);
//					if(s(dd)) {
//						found =  f(dd);
//					}
//				}
//		} //end switch
//
//		//test rest of the volume
//		// add phi1 and phi2 successor of they are not yet marked
//		Dart d2 = phi1(d1); // turn in face
//		Dart d3 = phi2(d1); // change volume
//
//		if (!this->isMarkedDart(d2,m)) {
//			darts_list.push_back(d2);
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//			this->markOrbit(DART,d2,m);
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//		}
//		if (!this->isMarkedDart(d3,m)) {
//			darts_list.push_back(d3);
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//			this->markOrbit(DART,d3,m);
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//		}
//
//		++prem;
//	}
//
//	//unmark current volume
//	for (std::list<Dart>::iterator it = darts_list.begin(); it != darts_list.end(); ++it) {
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//		this->unmarkOrbit(DART,(*it),m);
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//	}
//
//	//unmark connex volumes checked
//	FunctorUnmark<Map3 > fum(*this,m);
//	for (std::list<Dart>::iterator it = neighbours_list.begin(); it != neighbours_list.end(); ++it) {
//		switch(degree) {
//			case 0 :
//				foreach_dart_of_vertex((*it),fum);
//				break;
//			case 1 :
//				foreach_dart_of_edge((*it),fum);
//				break;
//			default :
//				foreach_dart_of_face((*it),fum);
//		}
//	}
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//	this->releaseMarker(DART,m);
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//	return found;
//}

//// template <typename DART>
//// void Map3::foreach_volume(FunctorType<Dart>* funct)
//// {
//// 	// lock a marker
//// 	int markOV = this->getMarkerIndex();
//// 	for(Dart d = this->begin(); d != this->end(); this->next(d))
//// 	{
//// 		if (!this->isMarkedDart(d,markOV))  // if not yet treated
//// 		{
//// 			(*funct)(d);			// call the functor and
//// 			this->markVolume(d,markOV);  // mark all dart of the vol
//// 		}
//// 	}
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//// 	this->releaseMarker(DART,markOV);
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//// }



//void Map3::reverseOrientation()
//{
//	Marker mf2 = this->getNewMarker();
//	Marker mf3 = this->getNewMarker();
//
//	// reverse all faces (only phi1 is modified)
//	for (Dart d= this->begin(); d != this->end(); this->next(d))
//	{
//		if (!isMarkedDart(d,mf2))
//		{
//			reverseFace(d);
//
//			Dart e=d;
//			do
//			{
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//				markOrbit(DART,e,mf2);
//				markOrbit(DART,e,mf3);
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//				e=phi1(e);
//			}
//			while (e!=d);
//		}
//	}
//
//	// store all new phi2 and phi3
//	std::vector<Dart> vdphi2;
//	std::vector<Dart> vdphi3;
//	vdphi2.reserve(this->getNbDarts());
//	vdphi3.reserve(this->getNbDarts());
//	for (Dart d= this->begin(); d != this->end(); this->next(d))
//	{
//		Dart e = phi_1(phi2(phi1(d)));
//		vdphi2.push_back(e);
//		Dart f = phi_1(phi3(phi1(d)));
//		vdphi3.push_back(f);
//	}
//
//	// apply the phi2sew with stored phi2 on all darts
//	std::vector<Dart>::iterator id2 = vdphi2.begin();
//	std::vector<Dart>::iterator id3 = vdphi3.begin();
//	for (Dart d= this->begin(); d != this->end(); this->next(d),++id2,++id3)
//	{
//		if (isMarkedDart(d,mf2))
//		{
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//			unmarkOrbit(DART,d,mf2); // unmark the two darts
//			unmarkOrbit(DART,*id2,mf2);
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//
//			if (phi2(d) != d)
//				phi2unsew(d);	// unsew the two darts if necessary
//			if (phi2(*id2) != *id2)
//				phi2unsew(*id2);
//			phi2sew(d,*id2); // sew the darts
//		}
//
//		if (isMarkedDart(d,mf3))
//		{
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//			unmarkOrbit(DART,d,mf3); // unmark the two darts
//			unmarkOrbit(DART,*id3,mf3);
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//
//			if (phi3(d) != d)
//				phi3unsew(d);	// unsew the two darts if necessary
//			if (phi3(*id3) != *id3)
//				phi3unsew(*id3);
//			phi3sew(d,*id3); // sew the darts
//		}
//	}
//
//	// no need to clear marker second pass do it
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//	this->releaseMarker(DART,mf2);
//	this->releaseMarker(DART,mf3);
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//}
//
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//void Map3::deleteEdge(Dart d)
//{
//	Dart e = d;
//	std::list<Dart> tmp;
//	do
//	{
//		tmp.push_back(e);
//		e=phi3(phi2(e));
//	}
//	while (e!=d);
//
//	for (std::list<Dart>::iterator it=tmp.begin();it!=tmp.end();++it)
//	{
//		Map2::deleteEdge(*it);
//	}
//
//}
//
//
//void Map3::removeEdge(Dart d)
//{
//
//	Dart e = d;
//	std::list<Dart> tmp;
//	do
//	{
//		tmp.push_back(e);
//		e=phi3(phi2(e));
//	}
//	while (e!=d);
//
//	for (std::list<Dart>::iterator it=tmp.begin();it!=tmp.end();++it)
//	{
//		removeFace(*it);
//	}
//}
//
//
//void Map3::removeVertex(Dart d)
//{
//	std::vector<Dart> store;
//	FunctorStore<Dart> fs(store);
//	foreach_dart_of_vertex(d,fs);
//
//	Marker toMerge = this->getNewMarker();
//
//	for (std::vector<Dart>::iterator it = store.begin() ; it!=store.end() ; ++it)
//	{
//		if (!this->isMarkedDart(*it,toMerge))
//		{
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//			this->markOrbit(DART,this->phi3(this->phi_1(*it)),toMerge);
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//		}
//		else
//		{
//			this->removeFace(*it);
//		}
//	}
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//	this->releaseMarker(DART,toMerge);
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//}
//
//
//
//

//
//Dart Map3::trianguleFace(Dart d0)
//{
//	Dart d1 = phi1(d0);		// Begin with d1 to avoid looking for the dart before d0
//	Dart d = d1;			// Dart d is used to turn around the face
//
//	if (d1 == d0)
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//		CGoGNout << "Warning: triangulation of a face with only one edge" << CGoGNendl;
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//
//	if (phi1(d1) == d0)
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//		CGoGNout << "Warning: triangulation of a face with only two edges" << CGoGNendl;
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//
//	Dart n = newEdge(2); 	// Create the first edge with n in the central vertex
//	Dart first = phi2(n); 	// Store the opposite of the first edge
//	Dart prec = phi3(n);
//	Dart next = phi1(d); 	// Get the next edge in the face of d
//	phi1sew(n,d); 			// Insert the edge in the face of d (between d and next)
//
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//	AttributeHandler<Marker> dmarkers( VERTEX<<24 ,*this); // a modifier pour virer <<24
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//
//	dmarkers[n] = dmarkers[d]; //	n->setMarkerVal(d->getMarkerVal());
//	dmarkers[phi2(n)] = dmarkers[d]; //	phi2(n)->setMarkerVal(d->getMarkerVal());
//
//	phi1sew(phi1(phi3(n)),phi3(next));
//
//	dmarkers[phi3(n)] = dmarkers[phi3(d)]; //	phi3(n)->setMarkerVal(phi3(d)->getMarkerVal());
//	dmarkers[phi1(phi3(n))] = dmarkers[phi3(d)]; //	phi1(phi3(n))->setMarkerVal(phi3(d)->getMarkerVal());
//
//	d = next; 				// Go to the next edge
//
//	while (d != d1)
//	{
//		n = newEdge(2); 		// Create an edge
//		next = phi1(d); 	// Get the next edge in the face of d
//		phi1sew(n,d); 		// Insert the edge in the face of d (between d and next)
//
//		dmarkers[n] = dmarkers[d];//	n->setMarkerVal(d->getMarkerVal());
//		dmarkers[phi2(n)] = dmarkers[d]; //	phi2(n)->setMarkerVal(d->getMarkerVal());
//
//		phi1sew(phi1(phi3(n)),phi3(next));
//
//		dmarkers[phi3(n)] = dmarkers[phi3(d)]; //	phi3(n)->setMarkerVal(phi3(d)->getMarkerVal());
//		dmarkers[phi1(phi3(n))] = dmarkers[phi3(d)]; //	phi1(phi3(n))->setMarkerVal(phi3(d)->getMarkerVal());
//
//		phi1sew(phi2(n),first); // Sew the edge with the first one around central vertex
//		phi1sew(prec,phi3(n));
//		prec = phi3(n);
//		d = next; 			// Go to next edge
//	}
//
//	return n; // Return the last created edge
//}
//
//
//
//
//
//Dart Map3::cutSpike(Dart d)
//{
//  Dart e=d;
//  int nb=0;
//  Dart dNew;
//
//  //count the valence of the vertex
//  do {
//    nb++;
//    e=phi1(phi2(e));
//  } while (e!=d);
//
//  if(nb<3)
//  {
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//	CGoGNout << "Warning : cannot cut 2 volumes without creating a degenerated face " << CGoGNendl;
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//	return d;
//  }
//  else
//  {
//	//triangulate around the vertex
//	do {
//		if(phi1(phi1(phi1(e)))!=e)
// 			cutFace(phi_1(e),phi1(e));
//		e=phi1(phi2(e));
//	} while (e!=d);
//
//	dNew=newFace(nb);
//
//	//sew a face following the triangles
//	Dart dTurn=dNew;
//	do {
//		Dart d1 = phi1(e);
//		Dart dSym = phi2(d1);
//		phi2unsew(d1);
//		phi2sew(dTurn,d1);
//		phi2sew(phi3(dTurn),dSym);
//		dTurn = phi1(dTurn);
//		e=phi1(phi2(e));
//	}while(e!=d);
//  }
//
//  return dNew;
//}
//
//
//Dart Map3::tetrahedrizeVolume(Dart d)
//{
//	// store all the dart of the volume
//	std::vector<Dart> vStore;
//	FunctorStore<Dart> fs(vStore);
//	foreach_dart_of_volume(d,fs);
//
//	//get a new marker
//	Marker traite = this->getNewMarker();
//
//	//the dart that will be returned
//	Dart ret;
//	//for each dart of the volume
//	for (std::vector<Dart>::iterator it = vStore.begin() ; it != vStore.end() ; ++it )
//	{
//		Dart dc=*it;
//		//if not processed
//		if (!isMarkedDart(dc,traite))
//		{
//			Dart dc2 = phi2(dc);
//
//			//mark the dart
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//			markOrbit(DART,dc,traite);
//			markOrbit(DART,dc2,traite);
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//
//			//create the new triangles
//			Dart dd=this->newFace(3);
//			Dart ee=phi3(dd);
//
//			//and sew them
//			phi2unsew(dc);
//			phi2unsew(dc2);
//			phi2sew(dc,dd);
//			phi2sew(dc2,ee);
//
//			//prepare the returned dart
//			ret=phi_1(dd);
//		}
//	}
//
//	//for each dart
//	for (std::vector<Dart>::iterator it = vStore.begin() ; it != vStore.end() ; ++it)
//	{
//		Dart dc=*it;
//		//if processed
//		if (isMarkedDart(dc,traite))
//		{
//			//get the previous dart in the face
//			Dart dc2 = phi_1(dc);
//
//			//unmark them
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//			unmarkOrbit(DART,dc,traite);
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//
//			//and sew them to create the tetra
//			phi2sew(phi1(phi2(dc)),phi_1(phi2(dc2)));
//		}
//	}
//
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//	this->unmarkAll(DART,traite);
//	this->releaseMarker(DART,traite);
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//
//	return ret;
//
//}
//
//

} // namespace CGoGN