pm::EquivalenceRelation Class Reference

An equivalence relation on the integers 0,..,n-1 for a given size n. More...

#include <EquivalenceRelation.h>

Collaboration diagram for pm::EquivalenceRelation:

Public Member Functions
	EquivalenceRelation ()
	Creates the trivial equivalence relation on the empty set.
	EquivalenceRelation (Int size)
template<typename Container>
	EquivalenceRelation (Int size, const Container &represent)
Int	representative (Int e) const
	Return the representative of the equivalence class containing e.
const Array< Int > &	representatives () const
	Return the representatives of the equivalence classes of all elements.
void	merge_classes (const Int c1, const Int c2)
	Merges two equivalence classes each represented by one (arbitrary) of its elements.
template<typename Container>
void	merge_classes (const Container &classes)
	Merges the classes of all the elements contained in classes.
const Set< Int > &	set_of_rep () const
	Return the set of all representatives.
Set< Int >	equivalence_class (const Int e) const
	Return the equivalence class of the element e.
PowerSet< Int >	equivalence_classes () const
	Return all equivalence classes.
bool	related (const Int e1, const Int e2) const
	Return true iff e1 and e2 are in the same equivalence class.
void	set_representative (const Int e)
	The element e will be used as user defined representative of it's equivalence class.

Detailed Description

An equivalence relation on the integers 0,..,n-1 for a given size n.

Initially, each element is contained in an equivalence class by itself. Two equivalence classes can be merged by specifying one (arbitrary) representative of each class. Alternatively, a set of representatives may be specified and the corresponding equivalence classes will be merged.

Each equivalence class is represented by its smallest element (default) or alternatively by a user defined element. If classes with user defined representatives are merged, the smallest of the user defined representatives is chosen to represent the new equivalence class.

Constructor & Destructor Documentation

EquivalenceRelation() [1/2]

pm::EquivalenceRelation::EquivalenceRelation ( Int size )

inlineexplicit

Creates the equivalence relation on the integers 0,..,size-1 where each element is contained in an equivalence class by itself.

EquivalenceRelation() [2/2]

template<typename Container>

pm::EquivalenceRelation::EquivalenceRelation ( Int size, const Container & represent )

inline

Creates the equivalence relation on the integers 0,..,size-1 where each element is contained in an equivalence class by itself. The representatives will be used as user defined representatives.

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

• lib/core/include/EquivalenceRelation.h