/*******************************************************************************
* CGoGN: Combinatorial and Geometric modeling with Generic N-dimensional Maps *
* version 0.1 *
* Copyright (C) 2009-2011, IGG Team, LSIIT, University of Strasbourg *
* *
* 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. *
* *
* Web site: http://cgogn.u-strasbg.fr/ *
* Contact information: cgogn@unistra.fr *
* *
*******************************************************************************/
#ifndef __MAP3_H__
#define __MAP3_H__
#include "Topology/map/map2.h"
namespace CGoGN
{
/*! \brief The class of dual 3-dimensional combinatorial maps:
* set of oriented volumes pairwise sewed by an adjacency relation.
* A dual 3-map represents close or open oriented 3-manifolds (volume subdivisions).
* - A dual 3-map is made of darts linked by the phi1 permutation
* and/or the phi2 and phi3 one-to-one relation.
* - In this class darts are interpreted as oriented edges.
* - The phi1 relation defines oriented faces (see tMap1)
* and faces may have arbitrary size (degenerated faces are accepted).
* - The phi2 relation links oriented faces along oriented edges building
* oriented surfaces. A close oriented surface define an oriented volume.
* - Volume are linked along whole faces with the phi3 relation
* - Faces that have no phi3-link are border faces. If there exists
* such edges the maps is open.
* - When every face is phi3-linked, the map is close. In this case
* some optimizations are enable that speed up the processing of cells.
* @param DART the type of dart used in the class
*/
class Map3 : public Map2
{
protected:
AttributeMultiVector* m_phi3 ;
void init() ;
public:
typedef Map2 ParentMap;
Map3();
virtual std::string mapTypeName();
virtual unsigned int dimension();
virtual void clear(bool removeAttrib);
/*! @name Basic Topological Operators
* Access and Modification
*************************************************************************/
virtual Dart newDart();
Dart phi3(Dart d);
template
Dart phi(Dart d);
Dart alpha0(Dart d);
Dart alpha1(Dart d);
Dart alpha2(Dart d);
Dart alpha_2(Dart d);
protected:
//! Link dart d with dart e by an involution
/*! @param d,e the darts to link
* - Before: d->d and e->e
* - After: d->e and e->d
*/
void phi3sew(Dart d, Dart e);
//! Unlink the current dart by an involution
/*! @param d the dart to unlink
* - Before: d->e and e->d
* - After: d->d and e->e
*/
void phi3unsew(Dart d);
public:
/*! @name Generator and Deletor
* To generate or delete volumes in a 3-map
*************************************************************************/
//@{
//! Delete a volume erasing all its darts.
/*! The phi3-links around the volume are removed
* @param d a dart of the volume
*/
virtual void deleteVolume(Dart d);
//! Fill a hole with a volume
/*! \pre Dart d is boundary marked
* @param d a dart of the volume to fill
*/
virtual void fillHole(Dart d) ;
//@}
/*! @name Topological Operators
* Topological operations on 3-maps
*************************************************************************/
//@{
//! Delete the vertex of d
/*! All the volumes around the vertex are merged into one volume
* @param d a dart of the vertex to delete
* @return a Dart of the resulting volume
*/
virtual Dart deleteVertex(Dart d);
//! Cut the edge of d (all darts around edge orbit are cut)
/*! @param d a dart of the edge to cut
* @return a dart of the new vertex
*/
virtual Dart cutEdge(Dart d);
//! Uncut the edge of d (all darts around edge orbit are uncut)
/*! @param d a dart of the edge to uncut
*/
virtual bool uncutEdge(Dart d);
//! Delete the edge of d
/*! All the volumes around the edge are merged into one volume
* @param d a dart of the edge to delete
* @return a Dart of the resulting volume
*/
virtual Dart deleteEdge(Dart d);
//! Collapse an edge (that is deleted) possibly merging its vertices
/*! \warning This may produce two distinct vertices if the edge
* was the only link between two border faces
* @param d a dart in the deleted edge
* @return a dart of the resulting vertex
*/
virtual Dart collapseEdge(Dart d, bool delDegenerateVolumes = true);
//! Split a face inserting an edge between two vertices
/*! \pre Dart d and e should belong to the same face and be distinct
* @param d dart of first vertex
* @param e dart of second vertex
*/
virtual void splitFace(Dart d, Dart e);
//! Delete a volume if and only if it has a face with degree < 3 or only 3 vertices
/*! If the volume is sewed to two distinct adjacent volumes and if the face degree
* of the two adjacent volumes is equal then those two volumes are sewed
* @param d a dart of the face
* @return true if the collapse has been executed, false otherwise
*/
virtual bool collapseDegeneretedVolume(Dart d);
//! Sew two oriented volumes along their faces.
/*! The oriented faces should not be phi3-linked and have the same degree
* @param d a dart of the first volume
* @param e a dart of the second volume
* @param withBoundary: if false, volumes must have phi3 fixed points (only for construction: import/primitives)
*/
virtual void sewVolumes(Dart d, Dart e, bool withBoundary = true);
//! Unsew two oriented volumes along their faces.
/*! @param d a dart of one volume
*/
virtual void unsewVolumes(Dart d);
//! Merge to volume along their common oriented face
/*! @param d a dart of common face
*/
virtual bool mergeVolumes(Dart d);
//! Split a volume into two volumes along a edge path
/*! @param vd a vector of darts
*/
virtual void splitVolume(std::vector& vd);
//@}
/*! @name Topological Queries
* Return or set various topological information
*************************************************************************/
//@{
//! Test if dart d and e belong to the same vertex
/*! @param d a dart
* @param e a dart
*/
bool sameVertex(Dart d, Dart e) ;
//! Compute the number of edges of the vertex of d
/*! @param d a dart
*/
unsigned int vertexDegree(Dart d) ;
//! Tell if the vertex of d is on the boundary
/*! @param d a dart
*/
bool isBoundaryVertex(Dart d) ;
//! Test if dart d and e belong to the same oriented edge
/*! @param d a dart
* @param e a dart
*/
bool sameOrientedEdge(Dart d, Dart e) ;
//! Test if dart d and e belong to the same edge
/*! @param d a dart
* @param e a dart
*/
bool sameEdge(Dart d, Dart e) ;
//! Compute the number of volumes around the edge of d
/*! @param d a dart
*/
unsigned int edgeDegree(Dart d) ;
/**
* tell if the edge of d is on the boundary of the map
*/
bool isBoundaryEdge(Dart d) ;
/**
* find the dart of edge that belong to the boundary
* return NIL if the edge is not on the boundary
*/
Dart findBoundaryFaceOfEdge(Dart d) ;
//! Test if dart d and e belong to the same oriented face
/*! @param d a dart
* @param e a dart
*/
bool sameFace(Dart d, Dart e) ;
//! Test if the face is on the boundary
/*! @param d a dart from the face
*/
bool isBoundaryFace(Dart d) ;
//! Tell if a face of the volume is on the boundary
/* @param d a dart
*/
bool isBoundaryVolume(Dart d) ;
//! Check the map completeness
/*! Test if phi3 and phi2 ares involutions and if phi1 is a permutation
*/
virtual bool check() ;
//@}
/*! @name Cell Functors
* Apply functors to all darts of a cell
*************************************************************************/
//@{
//! Apply a functor on each dart of a vertex
/*! @param d a dart of the vertex
* @param fonct the functor
*/
bool foreach_dart_of_vertex(Dart d, FunctorType& f, unsigned int thread = 0);
//! Apply a functor on each dart of an edge
/*! @param d a dart of the oriented edge
* @param fonct the functor
*/
bool foreach_dart_of_edge(Dart d, FunctorType& f, unsigned int thread = 0);
//! Apply a functor on each dart of an oriented face
/*! @param d a dart of the oriented face
* @param fonct the functor
*/
bool foreach_dart_of_face(Dart d, FunctorType& f, unsigned int thread = 0);
//! Apply a functor on each dart of a cc
/*! @param d a dart of the cc
* @param fonct the functor
*/
bool foreach_dart_of_cc(Dart d, FunctorType& f, unsigned int thread = 0);
//@}
/*! @name Close map after import or creation
* These functions must be used with care, generally only by import algorithms
*************************************************************************/
//@{
//! Close a topological hole (a sequence of connected fixed point of phi3). DO NOT USE, only for import/creation algorithm
/*! \pre dart d MUST be fixed point of phi3 relation
* Add a volume to the map that closes the hole.
* @param d a dart of the hole (with phi3(d)==d)
* @param forboundary tag the created face as boundary (default is true)
* @return the degree of the created volume
*/
virtual unsigned int closeHole(Dart d, bool forboundary = true);
//! Close the map removing topological holes: DO NOT USE, only for import/creation algorithm
/*! Add volumes to the map that close every existing hole.
* These faces are marked as boundary.
*/
void closeMap();
//@}
};
} // namespace CGoGN
#include "Topology/map/map3.hpp"
#endif