org.jscience.mathematics.analysis
Class ComplexFunction

java.lang.Object
  org.jscience.mathematics.analysis.ComplexFunction

All Implemented Interfaces:

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

Direct Known Subclasses:

ComplexPolynomial, ConstantComplexFunction

public abstract class ComplexFunction
extends java.lang.Object
implements ComplexMapping, C1Function, Field.Member

This class describes a function on the real numbers.

See Also:

Serialized Form

Constructor Summary

ComplexFunction()

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member f) Returns the addition of this function and another.
ComplexFunction	add(ComplexFunction f) DOCUMENT ME!
ComplexFunction	compose(ComplexFunction f) DOCUMENT ME!
Field.Member	cos() Returns the cosine of this function.
abstract ComplexFunction	differentiate() Returns the differential of this function.
ComplexFunction	divide(ComplexFunction f) DOCUMENT ME!
Field.Member	divide(Field.Member f) Returns the quotient of this function and another.
Field.Member	exp() Returns the exp of this function.
IntervalsList[]	getIntervalsLists() DOCUMENT ME!
Field.Member	inverse() Returns this function inverse.
Field.Member	log() Returns the log of this function (actually the ln, see java.lang.Math).
abstract Complex	map(Complex x) DOCUMENT ME!
java.lang.Number	map(java.lang.Number x) DOCUMENT ME!
ComplexFunction	multiply(ComplexFunction f) DOCUMENT ME!
Ring.Member	multiply(Ring.Member f) Returns the multiplication of this function and another.
AbelianGroup.Member	negate() Returns the negative of this function.
Field.Member	power(double d) Returns this function raised to a power.
void	setIntervalsLists(IntervalsList[] lists) DOCUMENT ME!
Field.Member	sin() Returns the sine of this function.
Field.Member	sqrt() Returns the sqrt of this function.
AbelianGroup.Member	subtract(AbelianGroup.Member f) Returns the subtraction of this function and another.
ComplexFunction	subtract(ComplexFunction f) DOCUMENT ME!
ComplexPolynomial	taylorExpand(Complex a, int n) Returns the Taylor expansion of this function about a point.

Methods inherited from class java.lang.Object

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

Constructor Detail

ComplexFunction

public ComplexFunction()

Method Detail

map

public abstract Complex map(Complex x)

DOCUMENT ME!

Specified by:

map in interface ComplexMapping

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

See Also:

org.jscience.mathematics.analysis.Domain.

map

public java.lang.Number map(java.lang.Number x)

DOCUMENT ME!

Specified by:

map in interface NumberMapping

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

See Also:

org.jscience.mathematics.analysis.Domain.

differentiate

public abstract ComplexFunction differentiate()

Returns the differential of this function.

Specified by:

differentiate in interface C1Function

Returns:

DOCUMENT ME!

getIntervalsLists

public IntervalsList[] getIntervalsLists()

DOCUMENT ME!

Returns:

DOCUMENT ME!

setIntervalsLists

public void setIntervalsLists(IntervalsList[] lists)

DOCUMENT ME!

Parameters:

lists - DOCUMENT ME!

compose

public ComplexFunction compose(ComplexFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

negate

public AbelianGroup.Member negate()

Returns the negative of this function.

Specified by:

negate in interface AbelianGroup.Member

Returns:

DOCUMENT ME!

add

public AbelianGroup.Member add(AbelianGroup.Member f)

Returns the addition of this function and another.

Specified by:

add in interface AbelianGroup.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

add

public ComplexFunction add(ComplexFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member f)

Returns the subtraction of this function and another.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

subtract

public ComplexFunction subtract(ComplexFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

multiply

public Ring.Member multiply(Ring.Member f)

Returns the multiplication of this function and another.

Specified by:

multiply in interface Ring.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

multiply

public ComplexFunction multiply(ComplexFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

inverse

public Field.Member inverse()

Returns this function inverse.

Specified by:

inverse in interface Field.Member

Returns:

DOCUMENT ME!

divide

public Field.Member divide(Field.Member f)

Returns the quotient of this function and another.

Specified by:

divide in interface Field.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

divide

public ComplexFunction divide(ComplexFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

power

public Field.Member power(double d)

Returns this function raised to a power.

Parameters:

d - DOCUMENT ME!

Returns:

DOCUMENT ME!

cos

public Field.Member cos()

Returns the cosine of this function.

Returns:

DOCUMENT ME!

sin

public Field.Member sin()

Returns the sine of this function.

Returns:

DOCUMENT ME!

log

public Field.Member log()

Returns the log of this function (actually the ln, see java.lang.Math).

Returns:

DOCUMENT ME!

exp

public Field.Member exp()

Returns the exp of this function.

Returns:

DOCUMENT ME!

sqrt

public Field.Member sqrt()

Returns the sqrt of this function.

Returns:

DOCUMENT ME!

taylorExpand

public ComplexPolynomial taylorExpand(Complex a,
                                      int n)

Returns the Taylor expansion of this function about a point.

Parameters:

a - the point at which to expand about.

n - the number of terms to expand to.

Returns:

the Taylor series of f(x+a).