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 and 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 and 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 and 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 )