atmodel1.h File Reference

Algebraic topological model computation: Algorithm 1, new version, but still without computing the transpose of the projection; combinatorial version - for coefficients in Z_2. More...

#include <istream>
#include <ostream>
#include "chomp/system/config.h"
#include "chomp/system/textfile.h"
#include "chomp/system/timeused.h"
#include "chomp/struct/hashsets.h"
#include "chaincon/combchain.h"
#include "chaincon/comblinmap.h"

Go to the source code of this file.

Functions
template<class CellT , class CellArray1 , class CellArray2 , class CellRestrT >
void	algTopModel1 (const CellArray1 &K, CellArray2 &H, tCombLinMap< CellT, CellT > &pi, tCombLinMap< CellT, CellT > &incl, tCombLinMap< CellT, CellT > &phi, const CellRestrT &restr)
	Computes an algebraic topological model for the given filtered finite cell complex "K". More...

Detailed Description

Algebraic topological model computation: Algorithm 1, new version, but still without computing the transpose of the projection; combinatorial version - for coefficients in Z_2.

Definition in file atmodel1.h.

Function Documentation

algTopModel1()

template<class CellT , class CellArray1 , class CellArray2 , class CellRestrT >

void algTopModel1	(	const CellArray1 &	K,
		CellArray2 &	H,
		tCombLinMap< CellT, CellT > &	pi,
		tCombLinMap< CellT, CellT > &	incl,
		tCombLinMap< CellT, CellT > &	phi,
		const CellRestrT &	restr
	)

Computes an algebraic topological model for the given filtered finite cell complex "K".

Cells that represent homology generators are appended to the vector "H". The projection map "pi", the inclusion from "H" to the complex "K", and the homology gradient vector field "phi" are assumed to be initially zero and are constructed.

Definition at line 60 of file atmodel1.h.

References boundary().

Referenced by algTopModel().