edu.jas.integrate

Class ElementaryIntegrationCzichowski<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.integrate.ElementaryIntegration<C>

edu.jas.integrate.ElementaryIntegrationCzichowski<C>

Type Parameters:

C - coefficient type

public class ElementaryIntegrationCzichowski<C extends GcdRingElem<C>>
extends ElementaryIntegration<C>

Method related to elementary integration. Czichowski integration of the logarithmic part.

Author:

Youssef Elbarbary

Field Summary

Fields

Modifier and Type	Field and Description
GroebnerBaseAbstract<C>	red Engine for Groebner basis.

Fields inherited from class edu.jas.integrate.ElementaryIntegration

irr, irredLogPart, sqf, ufd

Constructor Summary

Constructors

Constructor and Description
ElementaryIntegrationCzichowski(RingFactory<C> br) Constructor.

Method Summary

Modifier and Type	Method and Description
LogIntegral<C>	integrateLogPart(GenPolynomial<C> A, GenPolynomial<C> P) Univariate GenPolynomial integration of the logaritmic part, Czichowski

Methods inherited from class edu.jas.integrate.ElementaryIntegration

deriviative, integrate, integrate, integrateHermite, integrateLogPartPrepare, isIntegral, isIntegral

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

red

public final GroebnerBaseAbstract<C extends GcdRingElem<C>> red

Engine for Groebner basis.

Constructor Detail

ElementaryIntegrationCzichowski

public ElementaryIntegrationCzichowski(RingFactory<C> br)

Constructor.

Method Detail

integrateLogPart

public LogIntegral<C> integrateLogPart(GenPolynomial<C> A,
                                       GenPolynomial<C> P)

Univariate GenPolynomial integration of the logaritmic part, Czichowski

Overrides:

integrateLogPart in class ElementaryIntegration<C extends GcdRingElem<C>>

Parameters:

A - univariate GenPolynomial, deg(A) < deg(P).

P - univariate irreducible GenPolynomial. // gcd(A,P) == 1 automatic

Returns:

logarithmic part container.