edu.jas.ufd

Class Factors<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.ufd.Factors<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

java.io.Serializable, java.lang.Comparable<Factors<C>>

public class Factors<C extends GcdRingElem<C>>
extends java.lang.Object
implements java.lang.Comparable<Factors<C>>, java.io.Serializable

Container for the factors of absolute factorization.

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
AlgebraicNumberRing<C>	afac Algebraic field extension over C.
java.util.List<GenPolynomial<AlgebraicNumber<C>>>	afactors List of factors with coefficients from AlgebraicNumberRing<C>.
GenPolynomial<AlgebraicNumber<C>>	apoly Original polynomial to be factored with coefficients from AlgebraicNumberRing<C>.
java.util.List<Factors<AlgebraicNumber<C>>>	arfactors List of factors with coefficients from AlgebraicNumberRing<AlgebraicNumber<C>>.
GenPolynomial<C>	poly Original (irreducible) polynomial to be factored with coefficients from C.

Constructor Summary

Constructors

Constructor and Description
Factors(GenPolynomial<C> p) Constructor.
Factors(GenPolynomial<C> p, AlgebraicNumberRing<C> af, GenPolynomial<AlgebraicNumber<C>> ap, java.util.List<GenPolynomial<AlgebraicNumber<C>>> afact) Constructor.
Factors(GenPolynomial<C> p, AlgebraicNumberRing<C> af, GenPolynomial<AlgebraicNumber<C>> ap, java.util.List<GenPolynomial<AlgebraicNumber<C>>> afact, java.util.List<Factors<AlgebraicNumber<C>>> arfact) Constructor.

Method Summary

Methods

Modifier and Type	Method and Description
int	compareTo(Factors<C> facs) Comparison.
boolean	equals(java.lang.Object B) Comparison with any other object.
AlgebraicNumberRing<C>	findExtensionField() Find largest extension field.
Factors<AlgebraicNumber<C>>	getFactor(GenPolynomial<AlgebraicNumber<C>> p) Get the factor for polynomial.
java.util.List<GenPolynomial<AlgebraicNumber<C>>>	getFactors() Get the list of factors at one level.
int	hashCode() Hash code for this Factors.
java.lang.String	toScript() Get a scripting compatible string representation.
java.lang.String	toString() Get the String representation.

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

poly

public final GenPolynomial<C extends GcdRingElem<C>> poly

Original (irreducible) polynomial to be factored with coefficients from C.

afac

public final AlgebraicNumberRing<C extends GcdRingElem<C>> afac

Algebraic field extension over C. Should be null, if p is absolutely irreducible.

apoly

public final GenPolynomial<AlgebraicNumber<C extends GcdRingElem<C>>> apoly

Original polynomial to be factored with coefficients from AlgebraicNumberRing<C>. Should be null, if p is absolutely irreducible.

afactors

public final java.util.List<GenPolynomial<AlgebraicNumber<C extends GcdRingElem<C>>>> afactors

List of factors with coefficients from AlgebraicNumberRing<C>. Should be null, if p is absolutely irreducible.

arfactors

public final java.util.List<Factors<AlgebraicNumber<C extends GcdRingElem<C>>>> arfactors

List of factors with coefficients from AlgebraicNumberRing<AlgebraicNumber<C>>. Should be null, if p is absolutely irreducible.

Constructor Detail

Factors

public Factors(GenPolynomial<C> p)

Constructor.

Parameters:

p - absolute irreducible GenPolynomial.

Factors

public Factors(GenPolynomial<C> p,
       AlgebraicNumberRing<C> af,
       GenPolynomial<AlgebraicNumber<C>> ap,
       java.util.List<GenPolynomial<AlgebraicNumber<C>>> afact)

Constructor.

Parameters:

p - irreducible GenPolynomial over C.

af - algebraic extension field of C where p has factors from afact.

ap - GenPolynomial p represented with coefficients from af.

afact - absolute irreducible factors of p with coefficients from af.

Factors

public Factors(GenPolynomial<C> p,
       AlgebraicNumberRing<C> af,
       GenPolynomial<AlgebraicNumber<C>> ap,
       java.util.List<GenPolynomial<AlgebraicNumber<C>>> afact,
       java.util.List<Factors<AlgebraicNumber<C>>> arfact)

Constructor.

Parameters:

p - irreducible GenPolynomial over C.

af - algebraic extension field of C where p has factors from afact.

ap - GenPolynomial p represented with coefficients from af.

afact - absolute irreducible factors of p with coefficients from af.

arfact - further absolute irreducible factors of p with coefficients from extensions of af.

Method Detail

toString

public java.lang.String toString()

Get the String representation.

Overrides:

toString in class java.lang.Object

See Also:

Object.toString()

toScript

public java.lang.String toScript()

Get a scripting compatible string representation.

Returns:

script compatible representation for this container.

See Also:

ElemFactory.toScript()

hashCode

public int hashCode()

Hash code for this Factors.

Overrides:

hashCode in class java.lang.Object

See Also:

Object.hashCode()

equals

public boolean equals(java.lang.Object B)

Comparison with any other object.

Overrides:

equals in class java.lang.Object

See Also:

Object.equals(java.lang.Object)

compareTo

public int compareTo(Factors<C> facs)

Comparison.

Specified by:

compareTo in interface java.lang.Comparable<Factors<C extends GcdRingElem<C>>>

Parameters:

facs - factors container.

Returns:

sign(this.poly-facs.poly) lexicographic > sign(afac.modul-facs.afac.modul) lexicographic > afactors.compareTo(facs.afactors) lexicographic > arfactors[i].compareTo(facs.arfactors[i])

findExtensionField

public AlgebraicNumberRing<C> findExtensionField()

Find largest extension field.

Returns:

largest extension field or null if no extension field

getFactors

public java.util.List<GenPolynomial<AlgebraicNumber<C>>> getFactors()

Get the list of factors at one level.

Returns:

list of algebraic factors

getFactor

public Factors<AlgebraicNumber<C>> getFactor(GenPolynomial<AlgebraicNumber<C>> p)

Get the factor for polynomial.

Returns:

algebraic factor