Package edu.jas.ufd

Class QuotientTaylorFunction<C extends GcdRingElem<C>>

java.lang.Object

edu.jas.ufd.QuotientTaylorFunction<C>

Type Parameters:

C - ring element type

All Implemented Interfaces:

TaylorFunction<C>

public class QuotientTaylorFunction<C extends GcdRingElem<C>>
extends java.lang.Object
implements TaylorFunction<C>

Polynomial quotient functions capable for Taylor series expansion.

Author:

Heinz Kredel

Constructor Summary

Constructors

Constructor	Description
QuotientTaylorFunction(Quotient<C> q)
QuotientTaylorFunction(Quotient<C> q, long f)

Method Summary

Modifier and Type	Method	Description
TaylorFunction<C>	derivative()	Derivative.
TaylorFunction<C>	derivative(int r)	Partial derivative.
TaylorFunction<C>	derivative(ExpVector i)	Multi-partial derivative.
C	evaluate(C a)	Evaluate.
C	evaluate(java.util.List<C> a)	Evaluate at a tuple of elements.
long	getFacul()	Get the factorial coefficient.
boolean	isZERO()	Test if this is zero.
java.lang.String	toString()	To String.

Methods inherited from class java.lang.Object

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

Constructor Detail

QuotientTaylorFunction

public QuotientTaylorFunction(Quotient<C> q)

QuotientTaylorFunction

public QuotientTaylorFunction(Quotient<C> q,
                              long f)

Method Detail

toString

public java.lang.String toString()

To String.

Overrides:

toString in class java.lang.Object

Returns:

string representation of this.

getFacul

public long getFacul()

Get the factorial coefficient.

Specified by:

getFacul in interface TaylorFunction<C extends GcdRingElem<C>>

Returns:

factorial coefficient.

isZERO

public boolean isZERO()

Test if this is zero.

Specified by:

isZERO in interface TaylorFunction<C extends GcdRingElem<C>>

Returns:

true if this is 0, else false.

derivative

public TaylorFunction<C> derivative()

Derivative.

Specified by:

derivative in interface TaylorFunction<C extends GcdRingElem<C>>

Returns:

derivative of this.

derivative

public TaylorFunction<C> derivative(int r)

Partial derivative.

Parameters:

r - index of the variable.

Returns:

partial derivative of this with respect to variable r.

derivative

public TaylorFunction<C> derivative(ExpVector i)

Multi-partial derivative.

Specified by:

derivative in interface TaylorFunction<C extends GcdRingElem<C>>

Parameters:

i - exponent vector.

Returns:

partial derivative of this with respect to all variables.

evaluate

public C evaluate(C a)

Evaluate.

Specified by:

evaluate in interface TaylorFunction<C extends GcdRingElem<C>>

Parameters:

a - element.

Returns:

this(a).

evaluate

public C evaluate(java.util.List<C> a)

Evaluate at a tuple of elements.

Specified by:

evaluate in interface TaylorFunction<C extends GcdRingElem<C>>

Parameters:

a - tuple of elements.

Returns:

this(a).