A combinatorial linear map. More...
#include <comblinmap.h>
Public Types | |
| typedef CellDomT | CellDomType |
| The type of cells in the domain of the combinatorial linear map. | |
| typedef CellImgT | CellImgType |
| The type of cells in the images of the combinatorial linear map. | |
Public Member Functions | |
| tCombLinMap () | |
| The default constructor. | |
| void | add (const CellDomT &c, const CellImgT &d) |
| Adds a cell to the image of the given cell. | |
| void | add (const CellDomT &c, const tCombChain< CellImgT > &ch) |
| Adds a chain to the image of the given cell. | |
| void | add (const tCombLinMap< CellDomT, CellImgT > &f) |
| Adds another map to the given map. | |
| void | removenum (int_t n) |
| Removes the given cell from the domain of the map. | |
| void | remove (const CellDomT &c) |
| Removes the given cell from the domain of the map. | |
| const tCombChain< CellImgT > & | operator() (int_t n) const |
| Returns the image of the given cell. | |
| tCombChain< CellImgT > | operator() (const CellDomT &c) const |
| Returns the image of the given cell. | |
| tCombChain< CellImgT > | operator() (const tCombChain< CellDomT > &ch) const |
| Computes the image of the given chain. | |
| tCombTensor< CellImgT > | operator() (const tCombTensor< CellDomT > &ch) const |
| Computes the image of the given tensor. | |
| int_t | size () const |
| Returns the number of elements in the domain of the combinatorial map. | |
| const CellDomT & | operator[] (int_t n) const |
| Returns the n-th element of the domain of the combinatorial map. | |
| tCombChain< CellImgT > & | getImage (int_t n) |
| Returns the image of the given cell for editing. | |
| tCombChain< CellImgT > & | getImage (const CellDomT &c) |
| Returns the image of the given cell for editing. | |
| bool | operator== (const tCombLinMap< CellDomT, CellImgT > &f) const |
| Verifies if the two combinatorial linear map are the same. | |
| void | swap (tCombLinMap< CellDomT, CellImgT > &f) |
| Swaps the data with another combinatorial linear map. | |
Private Attributes | |
| chomp::homology::hashedset < CellDomT > | domain |
| The domain of the map. | |
| chomp::homology::multitable < tCombChain< CellImgT > > | images |
| The chains in the images of each domain element. | |
A combinatorial linear map.
This is in fact a finite set of cells mapped to a chain each. It corresponds to a linear map on the vector space generated by the cells over the coefficients field F_2 (a.k.a. Z_2).
Definition at line 55 of file comblinmap.h.
| typedef CellDomT tCombLinMap< CellDomT, CellImgT >::CellDomType |
The type of cells in the domain of the combinatorial linear map.
Definition at line 59 of file comblinmap.h.
| typedef CellImgT tCombLinMap< CellDomT, CellImgT >::CellImgType |
The type of cells in the images of the combinatorial linear map.
Definition at line 62 of file comblinmap.h.
| tCombLinMap< CellDomT, CellImgT >::tCombLinMap | ( | ) | [inline] |
The default constructor.
Definition at line 130 of file comblinmap.h.
| void tCombLinMap< CellDomT, CellImgT >::add | ( | const CellDomT & | c, |
| const CellImgT & | d | ||
| ) | [inline] |
Adds a cell to the image of the given cell.
Definition at line 138 of file comblinmap.h.
| void tCombLinMap< CellDomT, CellImgT >::add | ( | const CellDomT & | c, |
| const tCombChain< CellImgT > & | ch | ||
| ) | [inline] |
Adds a chain to the image of the given cell.
Definition at line 152 of file comblinmap.h.
| void tCombLinMap< CellDomT, CellImgT >::add | ( | const tCombLinMap< CellDomT, CellImgT > & | f ) | [inline] |
Adds another map to the given map.
Definition at line 166 of file comblinmap.h.
| tCombChain< CellImgT > & tCombLinMap< CellDomT, CellImgT >::getImage | ( | int_t | n ) | [inline] |
Returns the image of the given cell for editing.
Definition at line 262 of file comblinmap.h.
| tCombChain< CellImgT > & tCombLinMap< CellDomT, CellImgT >::getImage | ( | const CellDomT & | c ) | [inline] |
Returns the image of the given cell for editing.
Definition at line 269 of file comblinmap.h.
| tCombChain< CellImgT > tCombLinMap< CellDomT, CellImgT >::operator() | ( | const tCombChain< CellDomT > & | ch ) | const [inline] |
Computes the image of the given chain.
Definition at line 218 of file comblinmap.h.
| tCombTensor< CellImgT > tCombLinMap< CellDomT, CellImgT >::operator() | ( | const tCombTensor< CellDomT > & | ch ) | const [inline] |
Computes the image of the given tensor.
Definition at line 233 of file comblinmap.h.
| const tCombChain< CellImgT > & tCombLinMap< CellDomT, CellImgT >::operator() | ( | int_t | n ) | const [inline] |
Returns the image of the given cell.
Definition at line 200 of file comblinmap.h.
| tCombChain< CellImgT > tCombLinMap< CellDomT, CellImgT >::operator() | ( | const CellDomT & | c ) | const [inline] |
Returns the image of the given cell.
Definition at line 207 of file comblinmap.h.
| bool tCombLinMap< CellDomT, CellImgT >::operator== | ( | const tCombLinMap< CellDomT, CellImgT > & | f ) | const [inline] |
Verifies if the two combinatorial linear map are the same.
Definition at line 282 of file comblinmap.h.
| const CellDomT & tCombLinMap< CellDomT, CellImgT >::operator[] | ( | int_t | n ) | const [inline] |
Returns the n-th element of the domain of the combinatorial map.
Definition at line 255 of file comblinmap.h.
| void tCombLinMap< CellDomT, CellImgT >::remove | ( | const CellDomT & | c ) | [inline] |
Removes the given cell from the domain of the map.
Note that this may change the order of cells in the domain.
Definition at line 190 of file comblinmap.h.
| void tCombLinMap< CellDomT, CellImgT >::removenum | ( | int_t | n ) | [inline] |
Removes the given cell from the domain of the map.
Note that this may change the order of cells in the domain.
Definition at line 179 of file comblinmap.h.
| int_t tCombLinMap< CellDomT, CellImgT >::size | ( | ) | const [inline] |
Returns the number of elements in the domain of the combinatorial map.
Note that the images of some of the elements might be zero.
Definition at line 248 of file comblinmap.h.
| void tCombLinMap< CellDomT, CellImgT >::swap | ( | tCombLinMap< CellDomT, CellImgT > & | f ) | [inline] |
Swaps the data with another combinatorial linear map.
Definition at line 315 of file comblinmap.h.
chomp::homology::hashedset<CellDomT> tCombLinMap< CellDomT, CellImgT >::domain [private] |
The domain of the map.
Definition at line 120 of file comblinmap.h.
chomp::homology::multitable<tCombChain<CellImgT> > tCombLinMap< CellDomT, CellImgT >::images [private] |
The chains in the images of each domain element.
Definition at line 123 of file comblinmap.h.
1.7.2