org.jscience.mathematics.analysis
Class DoubleFunction

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

All Implemented Interfaces:

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

Direct Known Subclasses:

ConstantDoubleFunction, DoublePolynomial, DoublePolynomialFraction, ExponentialDoubleFunction, IdentityDoubleFunction, LinearDoubleFunction

public abstract class DoubleFunction
extends java.lang.Object
implements PrimitiveMapping, C1Function, Field.Member

This class describes a function on the real numbers.

See Also:

Serialized Form

Constructor Summary

DoubleFunction()

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member f) Returns the addition of this function and another.
DoubleFunction	add(DoubleFunction f) DOCUMENT ME!
DoubleFunction	compose(DoubleFunction f) DOCUMENT ME!
Field.Member	cos() Returns the cosine of this function.
abstract DoubleFunction	differentiate() Returns the differential of this function.
DoubleFunction	divide(DoubleFunction 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	getIntervalsList() 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 double	map(double x) DOCUMENT ME!
double	map(float x) Evaluates this function.
double	map(int x) Evaluates this function.
double	map(long x) Evaluates this function.
DoubleFunction	multiply(DoubleFunction 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	setIntervalsList(IntervalsList list) 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.
DoubleFunction	subtract(DoubleFunction f) DOCUMENT ME!
DoublePolynomial	taylorExpand(double a, int n) Returns the Taylor expansion of this function about a point.
DoubleFunction2D	tensor(DoubleFunction f) DOCUMENT ME!

Methods inherited from class java.lang.Object

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

Constructor Detail

DoubleFunction

public DoubleFunction()

Method Detail

map

public abstract double map(double x)

DOCUMENT ME!

Specified by:

map in interface PrimitiveMapping

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

See Also:

org.jscience.mathematics.analysis.IntervalList.

differentiate

public abstract DoubleFunction differentiate()

Returns the differential of this function.

Specified by:

differentiate in interface C1Function

Returns:

DOCUMENT ME!

map

public double map(float x)

Evaluates this function.

Specified by:

map in interface PrimitiveMapping

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

map

public double map(long x)

Evaluates this function.

Specified by:

map in interface PrimitiveMapping

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

map

public double map(int x)

Evaluates this function.

Specified by:

map in interface PrimitiveMapping

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

getIntervalsList

public IntervalsList getIntervalsList()

DOCUMENT ME!

Returns:

DOCUMENT ME!

setIntervalsList

public void setIntervalsList(IntervalsList list)

DOCUMENT ME!

Parameters:

list - DOCUMENT ME!

compose

public DoubleFunction compose(DoubleFunction 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 DoubleFunction add(DoubleFunction 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 DoubleFunction subtract(DoubleFunction 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 DoubleFunction multiply(DoubleFunction 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 DoubleFunction divide(DoubleFunction 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!

tensor

public DoubleFunction2D tensor(DoubleFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

taylorExpand

public DoublePolynomial taylorExpand(double 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).