boundary.h File Reference

Boundary computation at the level of chains of cells. More...

#include <vector>
#include "chaincon/combchain.h"
#include "chaincon/chain.h"
#include "chaincon/combtensor.h"
#include "chaincon/tensor.h"
#include "chaincon/comblinmap.h"
#include "chaincon/linmap.h"
#include "chaincon/filtcomplex.h"
#include "chomp/system/config.h"
#include "chomp/struct/multitab.h"

Go to the source code of this file.

Classes
class	Unrestricted
	A template of a simple class for unrestricted cell selection in the boundary computation procedures. More...
class	NegateRestr< CellRestrT >
	A template of a simple class for negating the cell restriction given by another object for the boundary computation procedures. More...

Functions
template<class CellT , class CellRestrT >
void	computeBoundary (const CellT &c, tCombChain< CellT > &b, const CellRestrT &restr)
	Adds the boundary of a given cell to the provided chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>). More...
template<class CellT , class CellRestrT >
void	computeBoundary (const tCombChain< CellT > &c, tCombChain< CellT > &b, const CellRestrT &restr)
	Adds the boundary of a given chain to the provided chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>). More...
template<class CellT , class CellRestrT >
tCombChain< CellT >	boundary (const tCombChain< CellT > &c, const CellRestrT &restr)
	Returns the boundary of a given chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>). More...
template<class CellT , class CoefT , class CellRestrT >
void	computeBoundary (const CellT &c, tChain< CellT, CoefT > &b, const CoefT &coef, const CellRestrT &restr)
	Adds the boundary of a given cell to the provided chain with the given coefficient (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>). More...
template<class CellT , class CoefT , class CellRestrT >
void	computeBoundary (const tChain< CellT, CoefT > &c, tChain< CellT, CoefT > &b, const CellRestrT &restr)
	Adds the boundary of a given chain to the provided chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>). More...
template<class CellT , class CoefT , class CellRestrT >
tChain< CellT, CoefT >	boundary (const tChain< CellT, CoefT > &c, const CellRestrT &restr)
	Returns the boundary of a given chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>). More...
template<class Cell1T , class Cell2T , class CellRestrT >
void	computeBoundary (const tCombTensor< Cell1T, Cell2T > &c, tCombTensor< Cell1T, Cell2T > &b, const CellRestrT &restr)
	Adds the boundary of a given tensor to the provided tensor. More...
template<class Cell1T , class Cell2T , class CellRestrT >
tCombTensor< Cell1T, Cell2T >	boundary (const tCombTensor< Cell1T, Cell2T > &c, const CellRestrT &restr)
	Returns the boundary of a given tensor. More...
template<class Cell1T , class Cell2T , class CoefT , class CellRestrT >
void	computeBoundary (const tTensor< Cell1T, Cell2T, CoefT > &c, tTensor< Cell1T, Cell2T, CoefT > &b, const CellRestrT &restr)
	Adds the boundary of a given tensor to the provided tensor. More...
template<class Cell1T , class Cell2T , class CoefT , class CellRestrT >
tTensor< Cell1T, Cell2T, CoefT >	boundary (const tTensor< Cell1T, Cell2T, CoefT > &c, const CellRestrT &restr)
	Returns the boundary of a given tensor. More...
template<class CellArray , class CellT , class CellRestrT >
void	computeBoundaryMap (const CellArray &cells, tCombLinMap< CellT, CellT > &f, const CellRestrT &restr)
	Computes the full boundary map for a cellular complex that contains the cells in a provided set and all their boundary cells. More...
template<class CellArray , class CellT , class CoefT , class CellRestrT >
void	computeBoundaryMap (const CellArray &cells, tLinMap< CellT, CellT, CoefT > &f, const CellRestrT &restr)
	Computes the full boundary map for a cellular complex that contains the cells in a provided set and all their boundary cells. More...
template<class CellT , class CellRestrT >
void	addBoundaries (tFilteredComplex< CellT > &K, const CellRestrT &restr)
	Adds boundaries to all the cells in the given filtered complex. More...

Detailed Description

Boundary computation at the level of chains of cells.

Definition in file boundary.h.

Function Documentation

addBoundaries()

template<class CellT , class CellRestrT >

void addBoundaries ( tFilteredComplex< CellT > &  K, const CellRestrT &  restr  )

inline

Adds boundaries to all the cells in the given filtered complex.

Definition at line 459 of file boundary.h.

References NegateRestr< CellRestrT >::check().

Referenced by computeSteenrodSquares(), and readFilteredComplexes().

boundary() [1/4]

template<class CellT , class CellRestrT >

tCombChain<CellT> boundary ( const tCombChain< CellT > &  c, const CellRestrT &  restr  )

inline

Returns the boundary of a given chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>).

Definition at line 156 of file boundary.h.

References computeBoundary().

Referenced by algTopModel0(), algTopModel1(), algTopModel2(), computeBoundary(), experiment(), and tAlgCell< IdT, DimT, CoefT >::setBoundary().

boundary() [2/4]

template<class CellT , class CoefT , class CellRestrT >

tChain<CellT,CoefT> boundary ( const tChain< CellT, CoefT > &  c, const CellRestrT &  restr  )

inline

Returns the boundary of a given chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>).

Definition at line 220 of file boundary.h.

References computeBoundary().

boundary() [3/4]

template<class Cell1T , class Cell2T , class CellRestrT >

tCombTensor<Cell1T,Cell2T> boundary ( const tCombTensor< Cell1T, Cell2T > &  c, const CellRestrT &  restr  )

inline

Returns the boundary of a given tensor.

Definition at line 265 of file boundary.h.

References computeBoundary().

boundary() [4/4]

template<class Cell1T , class Cell2T , class CoefT , class CellRestrT >

tTensor<Cell1T,Cell2T,CoefT> boundary ( const tTensor< Cell1T, Cell2T, CoefT > &  c, const CellRestrT &  restr  )

inline

Returns the boundary of a given tensor.

Definition at line 302 of file boundary.h.

References computeBoundary().

computeBoundary() [1/6]

template<class CellT , class CellRestrT >

void computeBoundary ( const CellT &  c, tCombChain< CellT > &  b, const CellRestrT &  restr  )

inline

Adds the boundary of a given cell to the provided chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>).

Definition at line 118 of file boundary.h.

References NegateRestr< CellRestrT >::check().

Referenced by boundary(), computeAWdiagonal2d(), computeBoundary(), and experiment().

computeBoundary() [2/6]

template<class CellT , class CellRestrT >

void computeBoundary ( const tCombChain< CellT > &  c, tCombChain< CellT > &  b, const CellRestrT &  restr  )

inline

Adds the boundary of a given chain to the provided chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>).

Definition at line 144 of file boundary.h.

References computeBoundary().

computeBoundary() [3/6]

template<class CellT , class CoefT , class CellRestrT >

void computeBoundary ( const CellT &  c, tChain< CellT, CoefT > &  b, const CoefT &  coef, const CellRestrT &  restr  )

inline

Adds the boundary of a given cell to the provided chain with the given coefficient (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>).

Definition at line 178 of file boundary.h.

References NegateRestr< CellRestrT >::check().

computeBoundary() [4/6]

template<class CellT , class CoefT , class CellRestrT >

void computeBoundary ( const tChain< CellT, CoefT > &  c, tChain< CellT, CoefT > &  b, const CellRestrT &  restr  )

inline

Adds the boundary of a given chain to the provided chain (takes boundary cells restricted by the given object, preferably of the type hashedset<CellT>).

Definition at line 208 of file boundary.h.

References computeBoundary().

computeBoundary() [5/6]

template<class Cell1T , class Cell2T , class CellRestrT >

void computeBoundary ( const tCombTensor< Cell1T, Cell2T > &  c, tCombTensor< Cell1T, Cell2T > &  b, const CellRestrT &  restr  )

inline

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

Definition at line 247 of file boundary.h.

References boundary(), and computeBoundary().

computeBoundary() [6/6]

template<class Cell1T , class Cell2T , class CoefT , class CellRestrT >

void computeBoundary ( const tTensor< Cell1T, Cell2T, CoefT > &  c, tTensor< Cell1T, Cell2T, CoefT > &  b, const CellRestrT &  restr  )

inline

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

Definition at line 284 of file boundary.h.

References boundary(), and computeBoundary().

computeBoundaryMap() [1/2]

template<class CellArray , class CellT , class CellRestrT >

void computeBoundaryMap ( const CellArray &  cells, tCombLinMap< CellT, CellT > &  f, const CellRestrT &  restr  )

inline

Computes the full boundary map for a cellular complex that contains the cells in a provided set and all their boundary cells.

The map is assumed to be initially zero.

Definition at line 323 of file boundary.h.

References NegateRestr< CellRestrT >::check().

Referenced by computeAlgMinModel(), and computeAlgTopModel().

computeBoundaryMap() [2/2]

template<class CellArray , class CellT , class CoefT , class CellRestrT >

void computeBoundaryMap ( const CellArray &  cells, tLinMap< CellT, CellT, CoefT > &  f, const CellRestrT &  restr  )

inline

Computes the full boundary map for a cellular complex that contains the cells in a provided set and all their boundary cells.

The map is assumed to be initially zero.

Definition at line 392 of file boundary.h.

References NegateRestr< CellRestrT >::check().