Package edu.jas.ufd

Class GreatestCommonDivisorPrimitive<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.ufd.GreatestCommonDivisorAbstract<C>

edu.jas.ufd.GreatestCommonDivisorPrimitive<C>

All Implemented Interfaces:

GreatestCommonDivisor<C>, java.io.Serializable

public class GreatestCommonDivisorPrimitive<C extends GcdRingElem<C>>
extends GreatestCommonDivisorAbstract<C>

Greatest common divisor algorithms with primitive polynomial remainder sequence.

Author:

Heinz Kredel

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor	Description
GreatestCommonDivisorPrimitive()

Method Summary

Modifier and Type	Method	Description
GenPolynomial<C>	baseGcd(GenPolynomial<C> P, GenPolynomial<C> S)	Univariate GenPolynomial greatest common divisor.
GenPolynomial<GenPolynomial<C>>	recursiveUnivariateGcd(GenPolynomial<GenPolynomial<C>> P, GenPolynomial<GenPolynomial<C>> S)	Univariate GenPolynomial recursive greatest common divisor.

Methods inherited from class edu.jas.ufd.GreatestCommonDivisorAbstract

baseContent, baseExtendedGcd, baseGcdDiophant, baseHalfExtendedGcd, basePartialFraction, basePartialFraction, basePartialFraction, basePartialFractionValue, basePrimitivePart, basePrimitivePart, baseRecursiveContent, baseRecursivePrimitivePart, baseResultant, content, contentPrimitivePart, coPrime, coPrime, coPrimeRec, divide, gcd, gcd, gcd, isBasePartialFraction, isBasePartialFraction, isCoPrime, isCoPrime, lcm, primitivePart, recursiveContent, recursiveGcd, recursivePrimitivePart, recursivePrimitivePart, recursiveResultant, recursiveUnivariateResultant, resultant, toString

Methods inherited from class java.lang.Object

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

Constructor Detail

GreatestCommonDivisorPrimitive

public GreatestCommonDivisorPrimitive()

Method Detail

baseGcd

public GenPolynomial<C> baseGcd(GenPolynomial<C> P,
                                GenPolynomial<C> S)

Univariate GenPolynomial greatest common divisor. Uses pseudoRemainder for remainder.

Specified by:

baseGcd in class GreatestCommonDivisorAbstract<C extends GcdRingElem<C>>

Parameters:

P - univariate GenPolynomial.

S - univariate GenPolynomial.

Returns:

gcd(P,S).

recursiveUnivariateGcd

public GenPolynomial<GenPolynomial<C>> recursiveUnivariateGcd(GenPolynomial<GenPolynomial<C>> P,
                                                              GenPolynomial<GenPolynomial<C>> S)

Univariate GenPolynomial recursive greatest common divisor. Uses pseudoRemainder for remainder.

Specified by:

recursiveUnivariateGcd in class GreatestCommonDivisorAbstract<C extends GcdRingElem<C>>

Parameters:

P - univariate recursive GenPolynomial.

S - univariate recursive GenPolynomial.

Returns:

gcd(P,S).