permlib
0.2.9
Library for permutation computations
|
base class for searching in a group More...
#include <base_search.h>
Public Types | |
typedef BSGSIN::PERMtype | PERM |
typedef BSGSIN::TRANStype | TRANS |
typedef std::list< typename PERM::ptr > | PERMlistType |
Public Member Functions | |
BaseSearch (const BSGSIN &bsgs, unsigned int pruningLevelDCM, bool stopAfterFirstElement) | |
constructor More... | |
virtual | ~BaseSearch () |
destructor | |
bool | minOrbit (unsigned long alpha, BSGS< PERM, TRANSRET > &groupK, unsigned int i, unsigned long beta_i) const |
finds minimal elements in an orbit More... | |
virtual PERM::ptr | searchCosetRepresentative () |
searches for a coset representative if one exists | |
virtual PERM::ptr | searchCosetRepresentative (BSGS< PERM, TRANSRET > &groupK, BSGS< PERM, TRANSRET > &groupL)=0 |
searches for a coset representative if one exists More... | |
Public Attributes | |
unsigned long | m_statNodesVisited |
nodes visited during backtrack search | |
unsigned long | m_statNodesPrunedCosetMinimality |
number of nodes where (simple) double coset minimality pruning was in effect | |
unsigned long | m_statNodesPrunedCosetMinimality2 |
number of nodes where advanced double coset minimality pruning with base change was in effect | |
unsigned long | m_statNodesPrunedChildRestriction |
number of nodes where a child constraint pruning was in effect | |
Protected Member Functions | |
bool | pruneDCM (const PERM &t, unsigned int backtrackLevel, BSGS< PERM, TRANSRET > &groupK, BSGS< PERM, TRANSRET > &groupL) |
try to prune with advanced double coset minimality | |
bool | checkLeaf (unsigned int level) |
true iff level is a leaf level | |
unsigned int | processLeaf (const PERM &t, unsigned int level, unsigned int backtrackLevel, unsigned int completed, BSGS< PERM, TRANSRET > &groupK, BSGS< PERM, TRANSRET > &groupL) |
processes a leaf and adds corresponding element to the generator set of K | |
virtual const std::vector< dom_int > & | subgroupBase () const =0 |
base of the sought subgroup | |
void | setupEmptySubgroup (BSGS< PERM, TRANSRET > &group) const |
sets up a BSGS structure for an empty group with base subgroupBase() | |
Protected Attributes | |
BSGSIN | m_bsgs |
main BSGS to search in | |
BSGSIN * | m_bsgs2 |
second BSGS of a group the sough elements have to member of | |
boost::scoped_ptr< SubgroupPredicate< PERM > > | m_pred |
predicate that matches sought elements | |
std::vector< unsigned long > | m_order |
base point order | |
boost::scoped_ptr< BaseSorterByReference > | m_sorter |
a sorter with respect to m_order | |
ConjugatingBaseChange< PERM, TRANS, RandomBaseTranspose< PERM, TRANS > > | m_baseChange |
base change algorithm | |
const unsigned int | m_pruningLevelDCM |
leves i with 0 <= i < m_pruningLevelDCM are prunged by advanced double coset minimality | |
bool | m_limitInitialized |
true iff other m_limit variables have been initialized | |
unsigned int | m_limitBase |
number of base points that correspond to maximal backtrack level m_limitLevel | |
unsigned int | m_limitLevel |
maximal backtrack level | |
const bool | m_stopAfterFirstElement |
true iff the search can be stopped after the first element found with the desired property | |
PERM::ptr | m_lastElement |
last element found with desired property; only used if m_stopAfterFirstElement is true | |
base class for searching in a group
permlib::BaseSearch< BSGSIN, TRANSRET >::BaseSearch | ( | const BSGSIN & | bsgs, |
unsigned int | pruningLevelDCM, | ||
bool | stopAfterFirstElement | ||
) |
constructor
bsgs | BSGS to search in |
pruningLevelDCM | prune levels smaller than pruningLevelDCM by double coset minimality with base change |
stopAfterFirstElement | true iff the search can be stopped after the first element found with the desired property |
bool permlib::BaseSearch< BSGSIN, TRANSRET >::minOrbit | ( | unsigned long | alpha, |
BSGS< PERM, TRANSRET > & | groupK, | ||
unsigned int | i, | ||
unsigned long | beta_i | ||
) | const |
finds minimal elements in an orbit
returns true iff beta_i is the minimal element of the orbit of alpha under action of the i-th stabilizer of groupK
|
pure virtual |
searches for a coset representative if one exists
the two arguments are two groups K and L such that
groupK | subgroup of G |
groupL | subgroup of G |
Implemented in permlib::partition::RBase< BSGSIN, TRANSRET >, and permlib::classic::BacktrackSearch< BSGSIN, TRANSRET >.