edu.jas.ufd
Class GreatestCommonDivisorSimple<C extends GcdRingElem<C>>

java.lang.Object
  edu.jas.ufd.GreatestCommonDivisorAbstract<C>
      edu.jas.ufd.GreatestCommonDivisorSimple<C>

All Implemented Interfaces:

GreatestCommonDivisor<C>, java.io.Serializable

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

Greatest common divisor algorithms with monic polynomial remainder sequence. If C is a field, then the monic PRS (on coefficients) is computed otherwise no simplifications in the reduction are made.

Author:

Heinz Kredel

See Also:

Serialized Form

Constructor Summary

GreatestCommonDivisorSimple()

Method Summary

GenPolynomial<C>	baseGcd(GenPolynomial<C> P, GenPolynomial<C> S) Univariate GenPolynomial greatest comon divisor.
GenPolynomial<GenPolynomial<C>>	recursiveUnivariateGcd(GenPolynomial<GenPolynomial<C>> P, GenPolynomial<GenPolynomial<C>> S) Univariate GenPolynomial recursive greatest comon divisor.

Methods inherited from class edu.jas.ufd.GreatestCommonDivisorAbstract

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

Methods inherited from class java.lang.Object

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

Constructor Detail

GreatestCommonDivisorSimple

public GreatestCommonDivisorSimple()

Method Detail

baseGcd

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

Univariate GenPolynomial greatest comon 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 comon 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).