permlib::SchreierSimsConstruction< PERM, TRANS > Class Template Reference

BSGS construction with classic Schreier-Sims algorithm. More...

#include <schreier_sims_construction.h>

Inheritance diagram for permlib::SchreierSimsConstruction< PERM, TRANS >:

Public Member Functions
	SchreierSimsConstruction (unsigned int n)
	constructor
template<class ForwardIterator>
BSGS< PERM, TRANS >	construct (ForwardIterator generatorsBegin, ForwardIterator generatorsEnd) const
	constructs a BSGS for group given by generators with no base prescribed
template<class ForwardIterator, class InputIterator>
BSGS< PERM, TRANS >	construct (ForwardIterator generatorsBegin, ForwardIterator generatorsEnd, InputIterator prescribedBaseBegin, InputIterator prescribedBaseEnd) const
	constructs a BSGS for group given by generators respecting prescribed base elements
Public Member Functions inherited from permlib::BaseConstruction< PERM, TRANS >
	BaseConstruction (dom_int n)
	constructor

Public Attributes
unsigned int	m_statScheierGeneratorsConsidered
	number of Schreier generators examined during the last construct call

Additional Inherited Members
Protected Member Functions inherited from permlib::BaseConstruction< PERM, TRANS >
template<class ForwardIterator, class InputIterator>
void	setup (ForwardIterator generatorsBegin, ForwardIterator generatorsEnd, InputIterator prescribedBaseBegin, InputIterator prescribedBaseEnd, BSGS< PERM, TRANS > &bsgs, std::vector< std::list< typename PERM::ptr > > &S) const
	initializes BSGS object
void	mergeGenerators (std::vector< std::list< typename PERM::ptr > > &S, BSGS< PERM, TRANS > &ret) const
	merges all strong generators in S into a single strong generating set ret.S
Protected Attributes inherited from permlib::BaseConstruction< PERM, TRANS >
dom_int	m_n
	cardinality of the set the group is acting on
Static Protected Attributes inherited from permlib::BaseConstruction< PERM, TRANS >
static const unsigned long *	empty
	auxilliary element marking an empty iterator

Detailed Description

template<class PERM, class TRANS>
class permlib::SchreierSimsConstruction< PERM, TRANS >

BSGS construction with classic Schreier-Sims algorithm.

Constructor & Destructor Documentation

SchreierSimsConstruction()

template<class PERM, class TRANS>

permlib::SchreierSimsConstruction< PERM, TRANS >::SchreierSimsConstruction ( unsigned int n )

explicit

constructor

Parameters

n	cardinality of the set the group is acting on

Member Function Documentation

construct() [1/2]

template<class PERM, class TRANS>

template<class ForwardIterator>

BSGS< PERM, TRANS > permlib::SchreierSimsConstruction< PERM, TRANS >::construct ( ForwardIterator generatorsBegin, ForwardIterator generatorsEnd ) const

inline

constructs a BSGS for group given by generators with no base prescribed

See also

construct(ForwardIterator generatorsBegin, ForwardIterator generatorsEnd, InputIterator prescribedBaseBegin, InputIterator prescribedBaseEnd)

construct() [2/2]

template<class PERM, class TRANS>

template<class ForwardIterator, class InputIterator>

BSGS< PERM, TRANS > permlib::SchreierSimsConstruction< PERM, TRANS >::construct	(	ForwardIterator	generatorsBegin,
		ForwardIterator	generatorsEnd,
		InputIterator	prescribedBaseBegin,
		InputIterator	prescribedBaseEnd ) const

constructs a BSGS for group given by generators respecting prescribed base elements

Parameters

generatorsBegin	begin iterator of group generators of type PERM
generatorsEnd	end iterator of group generators of type PERM
prescribedBaseBegin	begin iterator of prescribed base of type unsigned long
prescribedBaseEnd	end iterator of prescribed base of type unsigned long

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The documentation for this class was generated from the following file:

• include/permlib/construct/schreier_sims_construction.h