Homology

Namespaces
namespace	chomp
	This namespace contains the entire CHomP library interface.
Files
file	bitmaps.h
	This file contains the definition of a class which can be used as a simple interface to read and write Windows Bitmap files (BMP pictures).
file	colorpal.h
	This file contains the definition of a simple class "ColorPalette".
file	chomp.h
	This file includes most of the other CHomP library header files.
file	bincube.h
	This file contains the definition of a cubical set represented as a bitmap.
file	bitcode.h
	This file contains the declaration of functions for reading and writing full cubical sets encoded in the text format as bit codes used in the "chom" program written by Bill Kalies.
file	cell.h
	This file includes header files with various definitions of cubical cells and defines the standard types for most commonly used structures related to cubical cells.
file	cellbase.h
	This file contains the definition of cubical cells which use a cube base class for indexing all the possible coordinate combinations.
file	cellfix.h
	This class defines cubical cells in which the embedding space dimension is known apriori.
file	cellmain.h
	This file contains the definition of some functions that are common for all types of cubical cells, independent of the details of their implementation, mainly the computation of the boundary of a cell and text input/output procedures.
file	cellvar.h
	This file defines cubical cells whose embedding space dimension is not known apriori and therefore the array of coordinates is allocated each time a cubical cell is created.
file	cube.h
	This file includes header files with various definitions of full cubes and defines the standard types for most commonly used structures related to full cubes.
file	cubebase.h
	This file contains the definition of full cubes which use a cube base class for indexing all the possible coordinate combinations.
file	cubefix.h
	This class defines full cubes in which the embedding space dimension is known apriori.
file	cubemain.h
	This file contains the definition of some functions that are common for all types of cubes, independent of the details of their implementation, mainly the text input/output procedures.
file	cubevar.h
	This file defines full cubes whose embedding space dimension is not known apriori and therefore the array of coordinates is allocated each time a cubical cell is created.
file	cubmaps.h
	This file contains some procedures defined for cubical maps.
file	neighbor.h
	This file contains various procedures relating to neighborhoods of cubes in full cubical sets.
file	pointbas.h
	This file contains the definition of a point base class which is used for indexing all the points (n-tuples of integer coordinates) which are used in the program.
file	pointset.h
	This file contains the definition of a set of n-dimensional points with integer coordinates and several operations on such a set.
file	twolayer.h
	This file contains the definition of two-layer cubical sets, as introduced in the paper "Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index" by Kinga Stolot and Pawel Pilarczyk.
file	chains.h
	This file contains classes and functions related to algebraic chain complexes and chain maps, including homology computation.
file	cubacycl.h
	This file contains functions generated using Binary Decision Diagrams for checking the acyclicity of full cubical neighborhoods of a cube in dimensions 1, 2, and 3.
file	cubisets.h
	This file contains various procedures defined on cubical sets and related to some combinatorial operations or homology computation.
file	gcomplex.h
	This file contains a definition of a general geometric complex which represents a polyhedron.
file	homology.h
	This file contains various procedures for the homology computation.
file	homtools.h
	This file contains various small procedures that might be useful in programs which compute homology.
file	indxpalg.h
	This file contains some data structures and functions aimed at computing combinatorial index pairs.
file	known.h
	This file contains the definition of a tabulated set of configurations of full cubical neighborhood used for reducing full cubical sets in the homology computation procedures.
file	tabulate.h
	This file contains the definition of a class which stores tabulated configuration of full cubical neighborhoods used in the cubical reduction procedures.
file	simplex.h
	This file contains the definition of a class which represents a simplex.