org.jscience.mathematics.functions
Class RationalFunction<F extends Field<F>>

java.lang.Object
  javolution.context.RealtimeObject
      org.jscience.mathematics.functions.Function<F,F>
          org.jscience.mathematics.functions.RationalFunction<F>

All Implemented Interfaces:

java.io.Serializable, Realtime, Immutable, Field<RationalFunction<F>>, GroupAdditive<RationalFunction<F>>, GroupMultiplicative<RationalFunction<F>>, Ring<RationalFunction<F>>, Structure<RationalFunction<F>>

public class RationalFunction<F extends Field<F>>
extends Function<F,F>
implements Field<RationalFunction<F>>

This class represents the quotient of two Polynomial, it is also a field (invertible).

Version:

3.1, April 1, 2006

Author:

Jean-Marie Dautelle

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class javolution.context.RealtimeObject

RealtimeObject.Factory<T extends RealtimeObject>

Nested classes/interfaces inherited from interface javolution.context.Realtime

Realtime.ObjectSpace

Method Summary

RationalFunction<F>	differentiate(Variable<F> v) Returns the first derivative of this function with respect to the specified variable.
Function<F,F>	divide(Function<F,F> that) Returns the quotient of this function with the one specified.
RationalFunction<F>	divide(RationalFunction<F> that) Returns the quotient of two rational functions.
boolean	equals(java.lang.Object obj) Indicates if this function is equals to the specified object.
F	evaluate() Evaluates this function using its variables current values.
Polynomial<F>	getDividend() Returns the dividend of this rational function.
Polynomial<F>	getDivisor() Returns the divisor of this rational function.
java.util.List<Variable<F>>	getVariables() Returns a lexically ordered list of the variables (or arguments) for this function (empty list for constant functions).
int	hashCode() Returns the hash code for this function (consistent with Function.equals(Object).
RationalFunction<F>	inverse() Returns the inverse of this rational function.
Function<F,F>	minus(Function<F,F> that) Returns the difference of this function with the one specified.
RationalFunction<F>	minus(RationalFunction<F> that) Returns the difference of two rational functions.
boolean	move(Realtime.ObjectSpace os) Moves this real-time object to the specified object space.
RationalFunction<F>	opposite() Returns the opposite of this rational function.
Function<F,F>	plus(Function<F,F> that) Returns the sum of this function with the one specified.
RationalFunction<F>	plus(RationalFunction<F> that) Returns the sum of two rational functions.
RationalFunction<F>	pow(int n) Returns this function raised at the specified exponent.
Function<F,F>	times(Function<F,F> that) Returns the product of this function with the one specified.
RationalFunction<F>	times(RationalFunction<F> that) Returns the product of two rational functions.
Text	toText() Returns the textual representation of this real-time object (equivalent to toString except that the returned value can be allocated from the local context space).
static <F extends Field<F>> RationalFunction<F>	valueOf(Polynomial<F> dividend, Polynomial<F> divisor) Returns the rational function from the specified dividend and divisor.

Methods inherited from class org.jscience.mathematics.functions.Function

compose, evaluate, evaluate, getVariable, integrate

Methods inherited from class javolution.context.RealtimeObject

export, isLocal, moveHeap, preserve, toString, unpreserve

Methods inherited from class java.lang.Object

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

Method Detail

getDividend

public Polynomial<F> getDividend()

Returns the dividend of this rational function.

Returns:

this rational function dividend.

getDivisor

public Polynomial<F> getDivisor()

Returns the divisor of this rational function.

Returns:

this rational function divisor.

valueOf

public static <F extends Field<F>> RationalFunction<F> valueOf(Polynomial<F> dividend,
                                                               Polynomial<F> divisor)

Returns the rational function from the specified dividend and divisor.

Parameters:

dividend - the dividend value.

divisor - the divisor value.

Returns:

dividend / divisor

plus

public RationalFunction<F> plus(RationalFunction<F> that)

Returns the sum of two rational functions.

Specified by:

plus in interface GroupAdditive<RationalFunction<F extends Field<F>>>

Parameters:

that - the rational function being added.

Returns:

this + that

opposite

public RationalFunction<F> opposite()

Returns the opposite of this rational function.

Specified by:

opposite in interface GroupAdditive<RationalFunction<F extends Field<F>>>

Returns:

- this

minus

public RationalFunction<F> minus(RationalFunction<F> that)

Returns the difference of two rational functions.

Parameters:

that - the rational function being subtracted.

Returns:

this - that

times

public RationalFunction<F> times(RationalFunction<F> that)

Returns the product of two rational functions.

Specified by:

times in interface GroupMultiplicative<RationalFunction<F extends Field<F>>>

Specified by:

times in interface Ring<RationalFunction<F extends Field<F>>>

Parameters:

that - the rational function multiplier.

Returns:

this · that

inverse

public RationalFunction<F> inverse()

Returns the inverse of this rational function.

Specified by:

inverse in interface GroupMultiplicative<RationalFunction<F extends Field<F>>>

Returns:

1 / this

divide

public RationalFunction<F> divide(RationalFunction<F> that)

Returns the quotient of two rational functions.

Parameters:

that - the rational function divisor.

Returns:

this / that

getVariables

public java.util.List<Variable<F>> getVariables()

Description copied from class: Function

Returns a lexically ordered list of the variables (or arguments) for this function (empty list for constant functions).

Specified by:

getVariables in class Function<F extends Field<F>,F extends Field<F>>

Returns:

this function current unset variables (sorted).

evaluate

public F evaluate()

Description copied from class: Function

Evaluates this function using its variables current values.

Specified by:

evaluate in class Function<F extends Field<F>,F extends Field<F>>

Returns:

the evaluation of this function.

toText

public Text toText()

Description copied from class: Function

Returns the textual representation of this real-time object (equivalent to toString except that the returned value can be allocated from the local context space).

Specified by:

toText in interface Realtime

Overrides:

toText in class Function<F extends Field<F>,F extends Field<F>>

Returns:

this object's textual representation.

equals

public boolean equals(java.lang.Object obj)

Description copied from class: Function

Indicates if this function is equals to the specified object.

Overrides:

equals in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

obj - the object to be compared with.

Returns:

true if this function and the specified argument represent the same function; false otherwise.

hashCode

public int hashCode()

Description copied from class: Function

Returns the hash code for this function (consistent with Function.equals(Object).

Overrides:

hashCode in class Function<F extends Field<F>,F extends Field<F>>

Returns:

this function hash code.

move

public boolean move(Realtime.ObjectSpace os)

Description copied from class: Function

Moves this real-time object to the specified object space.

Specified by:

move in interface Realtime

Overrides:

move in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

os - the object space to move this real-time object to.

Returns:

true if the move has to be propagated to external real-time references; false otherwise.

differentiate

public RationalFunction<F> differentiate(Variable<F> v)

Description copied from class: Function

Returns the first derivative of this function with respect to the specified variable.

Overrides:

differentiate in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

v - the variable for which the derivative is calculated.

Returns:

d[this]/dv

See Also:

Derivative -- from MathWorld

plus

public Function<F,F> plus(Function<F,F> that)

Description copied from class: Function

Returns the sum of this function with the one specified.

Overrides:

plus in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

that - the function to be added.

Returns:

this + that.

minus

public Function<F,F> minus(Function<F,F> that)

Description copied from class: Function

Returns the difference of this function with the one specified.

Overrides:

minus in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

that - the function to be subtracted.

Returns:

this - that.

times

public Function<F,F> times(Function<F,F> that)

Description copied from class: Function

Returns the product of this function with the one specified.

Overrides:

times in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

that - the function multiplier.

Returns:

this · that.

divide

public Function<F,F> divide(Function<F,F> that)

Description copied from class: Function

Returns the quotient of this function with the one specified. Evaluation of this function may raise an exception if the function result is not a {

Overrides:

divide in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

that - the function divisor.

Returns:

this / that.

pow

public RationalFunction<F> pow(int n)

Description copied from class: Function

Returns this function raised at the specified exponent.

Overrides:

pow in class Function<F extends Field<F>,F extends Field<F>>

Parameters:

n - the exponent.

Returns:

thisn