org.jscience.mathematics.analysis.polynomials
Class ExactRealPolynomialFraction

java.lang.Object
  org.jscience.mathematics.analysis.ExactRealFunction
      org.jscience.mathematics.analysis.polynomials.ExactRealPolynomialFraction

All Implemented Interfaces:

java.io.Serializable, Field.Member, Ring.Member, AbelianGroup.Member, AbstractMapping, C1Function, NumberMapping, Member

public class ExactRealPolynomialFraction
extends ExactRealFunction

This class implements fractions of polynomials with one unknown and real coefficients.

See Also:

Serialized Form

Constructor Summary

ExactRealPolynomialFraction(ExactRealPolynomial p)
Simple constructor.

ExactRealPolynomialFraction(ExactRealPolynomial numerator, ExactRealPolynomial denominator)
Simple constructor.

ExactRealPolynomialFraction(ExactRealPolynomialFraction f)
Copy-constructor.

Method Summary

ExactRealPolynomialFraction	add(ExactRealPolynomialFraction f) Add a fraction to the instance.
ExactRealPolynomialFraction	differentiate() Returns the differential of this function.
ExactRealPolynomialFraction	divide(ExactRealPolynomialFraction f) Divide the instance by a fraction.
ExactRealPolynomial	getDenominator() Get the denominator.
ExactRealPolynomial	getNumerator() Get the numerator.
ExactRealPolynomialFraction	invert() Invert the instance.
ExactReal	map(ExactReal x) Evaluates this polynomial fraction.
ExactRealPolynomialFraction	multiply(ExactRealPolynomialFraction f) Multiply the instance by a fraction.
ExactRealPolynomialFraction	negate() Negate a fraction.
ExactRealPolynomialFraction	subtract(ExactRealPolynomialFraction f) Subtract a fraction to the instance.
java.lang.String	toString() DOCUMENT ME!
java.lang.String	toString(java.lang.String unknown) DOCUMENT ME!

Methods inherited from class org.jscience.mathematics.analysis.ExactRealFunction

add, add, compose, divide, divide, getIntervalsList, inverse, map, multiply, multiply, setIntervalsList, subtract, subtract, taylorExpand, tensor

Methods inherited from class java.lang.Object

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

Constructor Detail

ExactRealPolynomialFraction

public ExactRealPolynomialFraction(ExactRealPolynomial numerator,
                                   ExactRealPolynomial denominator)

Simple constructor. Build a fraction from a numerator and a denominator.

Parameters:

numerator - numerator of the fraction

denominator - denominator of the fraction

Throws:

java.lang.ArithmeticException - if the denominator is null

ExactRealPolynomialFraction

public ExactRealPolynomialFraction(ExactRealPolynomial p)

Simple constructor. Build a fraction from a single Polynom

Parameters:

p - value of the fraction

ExactRealPolynomialFraction

public ExactRealPolynomialFraction(ExactRealPolynomialFraction f)

Copy-constructor.

Parameters:

f - fraction to copy

Method Detail

map

public ExactReal map(ExactReal x)

Evaluates this polynomial fraction.

Specified by:

map in class ExactRealFunction

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

differentiate

public ExactRealPolynomialFraction differentiate()

Returns the differential of this function.

Specified by:

differentiate in interface C1Function

Specified by:

differentiate in class ExactRealFunction

Returns:

DOCUMENT ME!

negate

public ExactRealPolynomialFraction negate()

Negate a fraction.

Specified by:

negate in interface AbelianGroup.Member

Overrides:

negate in class ExactRealFunction

Returns:

a new fraction which is the opposite of this

add

public ExactRealPolynomialFraction add(ExactRealPolynomialFraction f)

Add a fraction to the instance.

Parameters:

f - fraction to add.

Returns:

DOCUMENT ME!

subtract

public ExactRealPolynomialFraction subtract(ExactRealPolynomialFraction f)

Subtract a fraction to the instance.

Parameters:

f - fraction to subtract.

Returns:

DOCUMENT ME!

multiply

public ExactRealPolynomialFraction multiply(ExactRealPolynomialFraction f)

Multiply the instance by a fraction.

Parameters:

f - fraction to multiply by

Returns:

DOCUMENT ME!

divide

public ExactRealPolynomialFraction divide(ExactRealPolynomialFraction f)

Divide the instance by a fraction.

Parameters:

f - fraction to divide by

Returns:

DOCUMENT ME!

Throws:

java.lang.ArithmeticException - if f is null

invert

public ExactRealPolynomialFraction invert()

Invert the instance. Replace the instance by its inverse.

Returns:

DOCUMENT ME!

Throws:

java.lang.ArithmeticException - if the instance is null

getNumerator

public ExactRealPolynomial getNumerator()

Get the numerator.

Returns:

the numerator

getDenominator

public ExactRealPolynomial getDenominator()

Get the denominator.

Returns:

the denominator (leeding coefficient is always positive)

toString

public java.lang.String toString()

DOCUMENT ME!

Overrides:

toString in class java.lang.Object

Returns:

DOCUMENT ME!

toString

public java.lang.String toString(java.lang.String unknown)

DOCUMENT ME!

Parameters:

unknown - DOCUMENT ME!

Returns:

DOCUMENT ME!