Class PartialFraction<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.ufd.PartialFraction<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

Serializable

public class PartialFraction<C extends GcdRingElem<C>>
extends Object
implements 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
final List<GenPolynomial<AlgebraicNumber<C>>>	adenom	List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.
final List<AlgebraicNumber<C>>	afactors	List of algebraic numbers of an algebraic field extension over C.
final List<GenPolynomial<C>>	cdenom	List of linear factors of the denominator with coefficients from C.
final List<C>	cfactors	List of numbers from C.
final GenPolynomial<C>	den	Original (irreducible) denominator polynomial coefficients from C.
final 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, List<C> cf, List<GenPolynomial<C>> cd, List<AlgebraicNumber<C>> af, List<GenPolynomial<AlgebraicNumber<C>>> ad)	Constructor.

Method Summary

Modifier and Type	Method	Description
boolean	equals(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 )
String	toScript()	Get a scripting compatible string representation.
String	toString()	Get the String representation.

Methods inherited from class Object

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

Field Details

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 List<C extends GcdRingElem<C>> cfactors

List of numbers from C.

cdenom

public final List<GenPolynomial<C extends GcdRingElem<C>>> cdenom

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

afactors

public final List<AlgebraicNumber<C extends GcdRingElem<C>>> afactors

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

adenom

public final List<GenPolynomial<AlgebraicNumber<C extends GcdRingElem<C>>>> adenom

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

Constructor Details

PartialFraction

public PartialFraction(GenPolynomial<C> n,
 GenPolynomial<C> d,
 List<C> cf,
 List<GenPolynomial<C>> cd,
 List<AlgebraicNumber<C>> af,
 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 Details

toString

public String toString()

Get the String representation.

Overrides:

toString in class Object

See Also:

• Object.toString()

toScript

public 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 Object

See Also:

• Object.hashCode()

equals

public boolean equals(Object B)

Comparison with any other object.

Overrides:

equals in class Object

See Also:

• Object.equals(java.lang.Object)

isPartialFraction

public boolean isPartialFraction()

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