org.uacalc.alg

Class UnaryTermsMonoid

java.lang.Object

org.uacalc.alg.GeneralAlgebra

org.uacalc.alg.UnaryTermsMonoid

All Implemented Interfaces:

Algebra, SmallAlgebra

public class UnaryTermsMonoid
extends GeneralAlgebra
implements SmallAlgebra

The monoid or semigroup of unary terms.

Author:

ralph

Nested Class Summary

Nested classes/interfaces inherited from interface org.uacalc.alg.SmallAlgebra

SmallAlgebra.AlgebraType

Field Summary

Fields inherited from class org.uacalc.alg.GeneralAlgebra

con, description, monitor, name, operationsMap, similarityType, size, sub, universe

Fields inherited from interface org.uacalc.alg.Algebra

CARDINALITY_COUNTABLE, CARDINALITY_COUNTABLY_INFINITE, CARDINALITY_FINITE, CARDINALITY_INFINITE, CARDINALITY_UNKNOWN

Constructor Summary

Constructors

Constructor and Description
UnaryTermsMonoid(SmallAlgebra alg)
UnaryTermsMonoid(SmallAlgebra alg, boolean includeId)

Method Summary

Modifier and Type	Method and Description
SmallAlgebra.AlgebraType	algebraType() The type of algebra this is, like a quotient algebra.
CongruenceLattice	con() The congurence lattice.
void	convertToDefaultValueOps() This is used in the UI.
int	elementIndex(java.lang.Object elem) This method will return k if elem is the kth element; otherwise -1.
java.lang.Object	getElement(int k) returns the kth element.
java.util.List	getUniverseList() The universe as a List such getElement(k) will equal the kth element of the List.
java.util.Map	getUniverseOrder() A map that can be used for elementIndex(a).
boolean	isUnary()
static void	main(java.lang.String[] args)
void	makeOperationTables() Make operation tables to speed up the evaluation of operations at the cost using more space.
SmallAlgebra	parent() For a BasicAlgebra this is null; for a QuotientAlgebra this is the preimage; for a Subalgebra it is the super algebra.
SubalgebraLattice	sub() The subalgebra lattice.

Methods inherited from class org.uacalc.alg.GeneralAlgebra

cardinality, constantOperations, getDescription, getMonitor, getName, getOperation, getOperationsMap, inputSize, isIdempotent, isSimilarTo, isTotal, iterator, monitoring, operations, parents, resetConAndSub, setDescription, setMonitor, setName, setOperations, setUniverse, similarityType, universe, updateSimilarityType

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.uacalc.alg.SmallAlgebra

parents, resetConAndSub

Methods inherited from interface org.uacalc.alg.Algebra

cardinality, constantOperations, getDescription, getMonitor, getName, getOperation, getOperationsMap, inputSize, isIdempotent, isSimilarTo, isTotal, iterator, monitoring, operations, setDescription, setMonitor, setName, similarityType, universe, updateSimilarityType

Constructor Detail

UnaryTermsMonoid

public UnaryTermsMonoid(SmallAlgebra alg)

UnaryTermsMonoid

public UnaryTermsMonoid(SmallAlgebra alg,
                        boolean includeId)

Method Detail

con

public CongruenceLattice con()

Description copied from interface: SmallAlgebra

The congurence lattice.

Specified by:

con in interface SmallAlgebra

Overrides:

con in class GeneralAlgebra

elementIndex

public int elementIndex(java.lang.Object elem)

Description copied from interface: SmallAlgebra

This method will return k if elem is the kth element; otherwise -1. (Should we have it throw an error instead?)

Specified by:

elementIndex in interface SmallAlgebra

getElement

public java.lang.Object getElement(int k)

Description copied from interface: SmallAlgebra

returns the kth element.

Specified by:

getElement in interface SmallAlgebra

getUniverseList

public java.util.List getUniverseList()

Description copied from interface: SmallAlgebra

The universe as a List such getElement(k) will equal the kth element of the List. It is allowed to be null.

Specified by:

getUniverseList in interface SmallAlgebra

getUniverseOrder

public java.util.Map getUniverseOrder()

Description copied from interface: SmallAlgebra

A map that can be used for elementIndex(a). It is allowed to be null.

Specified by:

getUniverseOrder in interface SmallAlgebra

parent

public SmallAlgebra parent()

Description copied from interface: SmallAlgebra

For a BasicAlgebra this is null; for a QuotientAlgebra this is the preimage; for a Subalgebra it is the super algebra.

Specified by:

parent in interface SmallAlgebra

Overrides:

parent in class GeneralAlgebra

sub

public SubalgebraLattice sub()

Description copied from interface: SmallAlgebra

The subalgebra lattice.

Specified by:

sub in interface SmallAlgebra

Overrides:

sub in class GeneralAlgebra

isUnary

public boolean isUnary()

Specified by:

isUnary in interface Algebra

Overrides:

isUnary in class GeneralAlgebra

makeOperationTables

public void makeOperationTables()

Description copied from interface: Algebra

Make operation tables to speed up the evaluation of operations at the cost using more space.

Specified by:

makeOperationTables in interface Algebra

Overrides:

makeOperationTables in class GeneralAlgebra

See Also:

Operation.makeTable

convertToDefaultValueOps

public void convertToDefaultValueOps()

Description copied from interface: SmallAlgebra

This is used in the UI. Only valid for BASIC algebras.

Specified by:

convertToDefaultValueOps in interface SmallAlgebra

algebraType

public SmallAlgebra.AlgebraType algebraType()

Description copied from interface: SmallAlgebra

The type of algebra this is, like a quotient algebra.

Specified by:

algebraType in interface SmallAlgebra

Returns:

main

public static void main(java.lang.String[] args)
                 throws java.io.IOException,
                        BadAlgebraFileException

Throws:

java.io.IOException

BadAlgebraFileException