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 )

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

logger

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

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 )