chaincon/combchain.h File Reference

A combinatorial chain, that is, a chain with Z_2 coefficients. More...

#include <istream>
#include <ostream>
#include "chomp/system/config.h"
#include "chomp/struct/hashsets.h"

Go to the source code of this file.

Classes
class	tCombChain< CellT >
	A combinatorial chain. More...
Functions
template<class CellT >
std::ostream &	operator<< (std::ostream &out, const tCombChain< CellT > &c)
	Writes a combinatorial chain to an output stream.
template<class CellT >
std::istream &	operator>> (std::istream &in, tCombChain< CellT > &c)
	Reads a combinatorial chain from an input stream.
template<class CellT >
tCombChain< CellT >	operator+ (const tCombChain< CellT > &a, const tCombChain< CellT > &b)
template<class CellT >
void	computeBoundary (const CellT &c, tCombChain< CellT > &b)
	Adds the boundary of a given cell to the provided chain.
template<class CellT >
tCombChain< CellT >	boundary (const CellT &c)
	Returns the boundary of a given cell.
template<class CellT >
void	computeBoundary (const tCombChain< CellT > &c, tCombChain< CellT > &b)
	Adds the boundary of a given chain to the provided chain.
template<class CellT >
tCombChain< CellT >	boundary (const tCombChain< CellT > &c)
	Returns the boundary of a given chain.

---

Detailed Description

A combinatorial chain, that is, a chain with Z_2 coefficients.

Definition in file combchain.h.

---

Function Documentation

template<class CellT >

tCombChain<CellT> boundary

(

const CellT &

c )

[inline]

Returns the boundary of a given cell.

Definition at line 242 of file combchain.h.

References computeBoundary().

Referenced by homologyGVF0(), homologyGVF1(), and homologyGVF2().

template<class CellT >

tCombChain<CellT> boundary

(

const tCombChain< CellT > &

c )

[inline]

Returns the boundary of a given chain.

Definition at line 267 of file combchain.h.

References computeBoundary().

template<class CellT >

void computeBoundary	(	const CellT &	c,
		tCombChain< CellT > &	b
	)		[inline]

Adds the boundary of a given cell to the provided chain.

Definition at line 223 of file combchain.h.

Referenced by boundary(), computeAWdiagonal(), and computeBoundary().

template<class CellT >

void computeBoundary	(	const tCombChain< CellT > &	c,
		tCombChain< CellT > &	b
	)		[inline]

Adds the boundary of a given chain to the provided chain.

Definition at line 256 of file combchain.h.

References computeBoundary().

template<class CellT >

tCombChain<CellT> operator+	(	const tCombChain< CellT > &	a,
		const tCombChain< CellT > &	b
	)

Definition at line 211 of file combchain.h.

template<class CellT >

std::ostream& operator<<	(	std::ostream &	out,
		const tCombChain< CellT > &	c
	)

Writes a combinatorial chain to an output stream.

Definition at line 188 of file combchain.h.

template<class CellT >

std::istream& operator>>	(	std::istream &	in,
		tCombChain< CellT > &	c
	)

Reads a combinatorial chain from an input stream.

Definition at line 202 of file combchain.h.