permlib 0.2.9
Library for permutation computations
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permlib::AbstractSymmetricProduct Class Reference

A high level interface implementing a direct product of symmetric groups. More...

#include <abstract_symmetric_product.h>

Inheritance diagram for permlib::AbstractSymmetricProduct:
permlib::AbstractPermutationGroup

Public Member Functions

template<typename InputIterator>
 AbstractSymmetricProduct (InputIterator begin, InputIterator end)
 constructor
virtual AbstractPermutationGroupsetStabilizer (const std::vector< dom_int > &s) const
 computes the stabilizer of a set
virtual OrbitListorbits () const
 computes all orbits
virtual OrbitListorbits (const std::vector< dom_int > &s) const
 computes all orbits which contain a given set of elements
virtual bool isLexMinSet (const std::vector< dom_int > &setIndices, const std::vector< dom_int > &rankIndices) const
 checks whether a set is lexicographically minimal with respect to a given ordering of indices
virtual AbstractGroupType type () const
 implementation type of this abstract class
Public Member Functions inherited from permlib::AbstractPermutationGroup
virtual ~AbstractPermutationGroup ()
 destructor
template<typename Integer>
Integer order () const
 order of the group
boost::uint64_t order () const
 order of the group

Protected Member Functions

virtual void transversalSizes (std::vector< unsigned long > &sizes) const
 fills a list with sizes of transversals along a stabilizer chain

Additional Inherited Members

Public Types inherited from permlib::AbstractPermutationGroup
typedef std::list< std::set< dom_int > > OrbitList
 typedef for a list of orbits, each of which is a set

Detailed Description

A high level interface implementing a direct product of symmetric groups.

Constructor & Destructor Documentation

◆ AbstractSymmetricProduct()

template<typename InputIterator>
permlib::AbstractSymmetricProduct::AbstractSymmetricProduct ( InputIterator begin,
InputIterator end )
inline

constructor

The group is constructed from a list of lists. Each inner list contains an orbit of indices on which a symmetric group acts.

Parameters
beginbegin iterator which in turn points to iterators
endend iterator which in turn points to iterators

Member Function Documentation

◆ isLexMinSet()

bool permlib::AbstractSymmetricProduct::isLexMinSet ( const std::vector< dom_int > & setIndices,
const std::vector< dom_int > & rankIndices ) const
inlinevirtual

checks whether a set is lexicographically minimal with respect to a given ordering of indices

Parameters
setIndicesindices of the set for which minimality has to checked
rankIndiceslist of indices; the order of these indices defines a partial order on {1..n}
Returns
true iff set is minimal with respect to given ordering

Implements permlib::AbstractPermutationGroup.

◆ orbits() [1/2]

AbstractPermutationGroup::OrbitList * permlib::AbstractSymmetricProduct::orbits ( ) const
inlinevirtual

computes all orbits

Implements permlib::AbstractPermutationGroup.

◆ orbits() [2/2]

AbstractPermutationGroup::OrbitList * permlib::AbstractSymmetricProduct::orbits ( const std::vector< dom_int > & s) const
inlinevirtual

computes all orbits which contain a given set of elements

Parameters
sset of elements of which orbit has to be computed; vector must be sorted
Returns
all orbits of the group which contain an elements from s

Implements permlib::AbstractPermutationGroup.

◆ setStabilizer()

AbstractPermutationGroup * permlib::AbstractSymmetricProduct::setStabilizer ( const std::vector< dom_int > & s) const
inlinevirtual

computes the stabilizer of a set

Parameters
sset to be stabilized
Returns
stabilizer; may return this if set is already stabilized

Implements permlib::AbstractPermutationGroup.

◆ transversalSizes()

void permlib::AbstractSymmetricProduct::transversalSizes ( std::vector< unsigned long > & sizes) const
inlineprotectedvirtual

fills a list with sizes of transversals along a stabilizer chain

Implements permlib::AbstractPermutationGroup.

◆ type()

virtual AbstractGroupType permlib::AbstractSymmetricProduct::type ( ) const
inlinevirtual

implementation type of this abstract class

Implements permlib::AbstractPermutationGroup.


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