Package edu.jas.ufd

Class PartialFraction<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.ufd.PartialFraction<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

java.io.Serializable

public class PartialFraction<C extends GcdRingElem<C>>
extends java.lang.Object
implements java.io.Serializable

Container for the partial fraction decomposition of a squarefree denominator. num/den = sum( a_i / d_i )

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field	Description
java.util.List<GenPolynomial<AlgebraicNumber<C>>>	adenom	List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.
java.util.List<AlgebraicNumber<C>>	afactors	List of algebraic numbers of an algebraic field extension over C.
java.util.List<GenPolynomial<C>>	cdenom	List of linear factors of the denominator with coefficients from C.
java.util.List<C>	cfactors	List of numbers from C.
GenPolynomial<C>	den	Original (irreducible) denominator polynomial coefficients from C.
GenPolynomial<C>	num	Original numerator polynomial coefficients from C and deg(num) < deg(den).

Constructor Summary

Constructors

Constructor	Description
PartialFraction(GenPolynomial<C> n, GenPolynomial<C> d, java.util.List<C> cf, java.util.List<GenPolynomial<C>> cd, java.util.List<AlgebraicNumber<C>> af, java.util.List<GenPolynomial<AlgebraicNumber<C>>> ad)	Constructor.

Method Summary

Modifier and Type	Method	Description
boolean	equals(java.lang.Object B)	Comparison with any other object.
int	hashCode()	Hash code for this Factors.
boolean	isPartialFraction()	Test if correct partial fraction. num/den = sum( a_i / d_i )
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

num

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

Original numerator polynomial coefficients from C and deg(num) < deg(den).

den

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

Original (irreducible) denominator polynomial coefficients from C.

cfactors

public final java.util.List<C extends GcdRingElem<C>> cfactors

List of numbers from C.

cdenom

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

List of linear factors of the denominator with coefficients from C.

afactors

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

List of algebraic numbers of an algebraic field extension over C.

adenom

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

List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.

Constructor Detail

PartialFraction

public PartialFraction(GenPolynomial<C> n,
                       GenPolynomial<C> d,
                       java.util.List<C> cf,
                       java.util.List<GenPolynomial<C>> cd,
                       java.util.List<AlgebraicNumber<C>> af,
                       java.util.List<GenPolynomial<AlgebraicNumber<C>>> ad)

Constructor.

Parameters:

n - numerator GenPolynomial over C.

d - irreducible denominator GenPolynomial over C.

cf - list of elements a_i.

cd - list of linear factors d_i of d.

af - list of algebraic elements a_i.

ad - list of linear (irreducible) factors d_i of d with algebraic coefficients. n/d = sum( a_i / d_i )

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)

isPartialFraction

public boolean isPartialFraction()

Test if correct partial fraction. num/den = sum( a_i / d_i )