cubmaps.h File Reference

This file contains some procedures defined for cubical maps. More...

#include "chomp/system/config.h"
#include "chomp/system/textfile.h"
#include "chomp/cubes/pointset.h"
#include "chomp/struct/integer.h"
#include "chomp/struct/hashsets.h"
#include "chomp/homology/gcomplex.h"
#include "chomp/cubes/pointbas.h"
#include "chomp/cubes/cube.h"
#include "chomp/cubes/cell.h"
#include <iostream>
#include <fstream>
#include <cstdlib>

Go to the source code of this file.

Namespaces
namespace	chomp
	This namespace contains the entire CHomP library interface.
namespace	chomp::homology
	This namespace contains the core of the homology computation procedures and related classes and templates contained in the CHomP C++ library.
Functions
template<class euclidom , class tCell >
std::ostream &	chomp::homology::writegenerators (std::ostream &out, const chain< euclidom > *hom, const chaincomplex< euclidom > &c, const gcomplex< tCell, euclidom > &g, const int *level, int xdim, int format=0)
	Writes projected homology generators of a cubical complex to a file.
template<class euclidom , class tCell , class tCube >
int_t	chomp::homology::createimages (mvcellmap< tCell, euclidom, tCube > &m, const mvmap< tCube, tCube > &f1, const mvmap< tCube, tCube > &f2, const hashedset< tCube > &dom1, const hashedset< tCube > &dom2)
	Creates images of cells in 'm' as unions of cubes determined by f1 and f2.
template<class euclidom , class tCell , class tCube >
int_t	chomp::homology::createimages (mvcellmap< tCell, euclidom, tCube > &m, const mvmap< tCube, tCube > &f, const hashedset< tCube > &dom)
	A wrapper for the above function if there is only one map.
template<class euclidom , class tCell , class tCube >
int_t	chomp::homology::createimages (mvcellmap< tCell, euclidom, tCube > &m, const mvmap< tCube, tCube > &f1, const mvmap< tCube, tCube > &f2)
	Creates images of cells in m as unions of cubes determined by f1 and f2.
template<class euclidom , class tCell , class tCube >
int_t	chomp::homology::createimages (mvcellmap< tCell, euclidom, tCube > &m, const mvmap< tCube, tCube > &f)
	A wrapper for the above function if there is only one map.
template<class euclidom , class tCell >
void	chomp::homology::createprojection (const gcomplex< tCell, euclidom > &Fcompl, const gcomplex< tCell, euclidom > &Ycompl, chainmap< euclidom > &cmap, int offset, int outdim, int discarddim, int *level=NULL)
	Creates the chain map of the projection from a cell complex of the graph of a map to a cell complex of the codomain of the map.
template<class euclidom , class tCell >
void	chomp::homology::project (const gcomplex< tCell, euclidom > &c, gcomplex< tCell, euclidom > &img, const gcomplex< tCell, euclidom > &only, int offset, int outdim, int discarddim, const int *level, bool watchforimages)
	Creates the image of the projection from the set of cubical cells in the given geometric complex to the subspace of R^n spanned by the 'outdim' subsequent standard vectors with the first number 'offset'.
template<class tCube >
std::istream &	chomp::homology::readdomain (std::istream &in, hashedset< tCube > &dom)
	Reads the domain of a multivalued cubical map.
template<class tCube >
std::istream &	chomp::homology::readimage (std::istream &in, hashedset< tCube > &img)
	Reads the image of a multivalued cubical map.
template<class tCube >
std::istream &	chomp::homology::readimage (std::istream &in, const hashedset< tCube > &dom, hashedset< tCube > &img)
	Read the image of a set under a multivalued cubical map.
template<class tCube >
std::istream &	chomp::homology::readselective (std::istream &in, const hashedset< tCube > &dom1, const hashedset< tCube > &dom2, mvmap< tCube, tCube > &m)
	Reads the restriction of a multivalued map to the given pair of sets.
template<class tCube >
std::istream &	chomp::homology::readselective (std::istream &in, const hashedset< tCube > &dom, mvmap< tCube, tCube > &m)
	Reads a restriction of a multivalued cubical map to the given set.

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Detailed Description

This file contains some procedures defined for cubical maps.

These procedures are usually specializations of the generic ones and support specific features of cubical maps.

Author:

Pawel Pilarczyk

Definition in file cubmaps.h.