Class SquarefreeFieldChar0Yun<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.ufd.SquarefreeAbstract<C>

edu.jas.ufd.SquarefreeFieldChar0<C>

edu.jas.ufd.SquarefreeFieldChar0Yun<C>

All Implemented Interfaces:

Squarefree<C>, Serializable

public class SquarefreeFieldChar0Yun<C extends GcdRingElem<C>>
extends SquarefreeFieldChar0<C>

Squarefree decomposition for coefficient fields of characteristic 0, algorithm of Yun.

See Also:

• Serialized Form

Field Summary

Fields

Modifier and Type	Field	Description
private static final org.apache.logging.log4j.Logger	logger

Fields inherited from class SquarefreeFieldChar0

coFac

Fields inherited from class SquarefreeAbstract

engine

Constructor Summary

Constructors

Constructor	Description
SquarefreeFieldChar0Yun(RingFactory<C> fac)	Constructor.

Method Summary

Modifier and Type	Method	Description
SortedMap<GenPolynomial<C>, Long>	baseSquarefreeFactors(GenPolynomial<C> A)	GenPolynomial polynomial squarefree factorization.
SortedMap<GenPolynomial<GenPolynomial<C>>, Long>	recursiveUnivariateSquarefreeFactors(GenPolynomial<GenPolynomial<C>> P)	GenPolynomial recursive univariate polynomial squarefree factorization.
String	toString()	Get the String representation.

Methods inherited from class SquarefreeFieldChar0

baseSquarefreePart, isBaseSquarefree, isRecursiveUnivariateSquarefree, isSquarefree, recursiveUnivariateSquarefreePart, squarefreeFactors, squarefreeFactors, squarefreePart

Methods inherited from class SquarefreeAbstract

basePartialFraction, coPrimeSquarefree, coPrimeSquarefree, factorCount, isBasePartialFraction, isCoPrimeSquarefree, isFactorization, isFactorization, isRecursiveFactorization, isRecursiveSquarefree, isSquarefree, isSquarefreeAlternative, normalizeFactorization, recursiveSquarefreeFactors, recursiveSquarefreePart, squarefreePart

Methods inherited from class Object

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

Field Details

logger

private static final org.apache.logging.log4j.Logger logger

Constructor Details

SquarefreeFieldChar0Yun

public SquarefreeFieldChar0Yun(RingFactory<C> fac)

Constructor.

Method Details

toString

public String toString()

Get the String representation.

Overrides:

toString in class SquarefreeFieldChar0<C extends GcdRingElem<C>>

See Also:

• Object.toString()

baseSquarefreeFactors

public SortedMap<GenPolynomial<C>, Long> baseSquarefreeFactors(GenPolynomial<C> A)

GenPolynomial polynomial squarefree factorization.

Overrides:

baseSquarefreeFactors in class SquarefreeFieldChar0<C extends GcdRingElem<C>>

Parameters:

A - GenPolynomial.

Returns:

[p_1 -> e_1, ..., p_k -> e_k] with A = prod_{i=1,...,k} p_i^{e_i} and p_i squarefree and gcd(p_i, p_j) = 1, for i != j.

recursiveUnivariateSquarefreeFactors

public SortedMap<GenPolynomial<GenPolynomial<C>>, Long> recursiveUnivariateSquarefreeFactors(GenPolynomial<GenPolynomial<C>> P)

GenPolynomial recursive univariate polynomial squarefree factorization.

Overrides:

recursiveUnivariateSquarefreeFactors in class SquarefreeFieldChar0<C extends GcdRingElem<C>>

Parameters:

P - recursive univariate GenPolynomial.

Returns:

[p_1 -> e_1, ..., p_k -> e_k] with P = prod_{i=1,...,k} p_i^{e_i} and p_i squarefree and gcd(p_i, p_j) = 1, for i != j.