Class PseudoReductionSeq<C extends RingElem<C>>

java.lang.Object

edu.jas.gb.ReductionAbstract<C>

edu.jas.gbufd.PseudoReductionSeq<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

Reduction<C>, PseudoReduction<C>, Serializable

public class PseudoReductionSeq<C extends RingElem<C>>
extends ReductionAbstract<C>
implements PseudoReduction<C>

Polynomial pseudo reduction sequential use algorithm. Coefficients of polynomials must not be from a field, i.e. the fraction free reduction is implemented. Implements normalform.

See Also:

• Serialized Form

Field Summary

Fields

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

Constructor Summary

Constructors

Constructor	Description
PseudoReductionSeq()	Constructor.

Method Summary

Modifier and Type	Method	Description
GenPolynomial<C>	normalform(List<GenPolynomial<C>> Pp, GenPolynomial<C> Ap)	Normalform.
GenPolynomial<C>	normalform(List<GenPolynomial<C>> row, List<GenPolynomial<C>> Pp, GenPolynomial<C> Ap)	Normalform with recording.
PseudoReductionEntry<C>	normalformFactor(List<GenPolynomial<C>> Pp, GenPolynomial<C> Ap)	Normalform.
GenPolynomial<GenPolynomial<C>>	normalformRecursive(List<GenPolynomial<GenPolynomial<C>>> Pp, GenPolynomial<GenPolynomial<C>> Ap)	Normalform recursive.

Methods inherited from class ReductionAbstract

criterion4, criterion4, criterion4, irreducibleSet, isNormalform, isNormalform, isReducible, isReductionNF, isTopReducible, moduleCriterion, moduleCriterion, normalform, normalform, normalform, normalformMarked, SPolynomial, SPolynomial

Methods inherited from class Object

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

Methods inherited from interface Reduction

criterion4, criterion4, criterion4, irreducibleSet, isNormalform, isNormalform, isReducible, isReductionNF, isTopReducible, moduleCriterion, moduleCriterion, normalform, SPolynomial, SPolynomial

Field Details

logger

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

debug

private static final boolean debug

Constructor Details

PseudoReductionSeq

public PseudoReductionSeq()

Constructor.

Method Details

normalform

public GenPolynomial<C> normalform(List<GenPolynomial<C>> Pp,
 GenPolynomial<C> Ap)

Normalform.

Specified by:

normalform in interface Reduction<C extends RingElem<C>>

Parameters:

Pp - polynomial list.

Ap - polynomial.

Returns:

nf(Ap) with respect to Pp.

normalformRecursive

public GenPolynomial<GenPolynomial<C>> normalformRecursive(List<GenPolynomial<GenPolynomial<C>>> Pp,
 GenPolynomial<GenPolynomial<C>> Ap)

Normalform recursive.

Specified by:

normalformRecursive in interface PseudoReduction<C extends RingElem<C>>

Parameters:

Pp - recursive polynomial list.

Ap - recursive polynomial.

Returns:

nf(Ap) with respect to Pp.

normalform

public GenPolynomial<C> normalform(List<GenPolynomial<C>> row,
 List<GenPolynomial<C>> Pp,
 GenPolynomial<C> Ap)

Normalform with recording. Note: Only meaningful if all divisions are exact. Compute first the multiplication factor m with normalform(Pp,Ap,m), then call this method with normalform(row,Pp,m*Ap).

Specified by:

normalform in interface Reduction<C extends RingElem<C>>

Parameters:

row - recording matrix, is modified.

Pp - a polynomial list for reduction.

Ap - a polynomial.

Returns:

nf(Pp,Ap), the normal form of Ap wrt. Pp.

normalformFactor

public PseudoReductionEntry<C> normalformFactor(List<GenPolynomial<C>> Pp,
 GenPolynomial<C> Ap)

Normalform.

Specified by:

normalformFactor in interface PseudoReduction<C extends RingElem<C>>

Parameters:

Pp - polynomial list.

Ap - polynomial.

Returns:

( nf(Ap), mf ) with respect to Pp and mf as multiplication factor for Ap.