orbital.math.functional
Interface Function

All Superinterfaces:

Arithmetic, Function, Functor, MathFunctor, Normed

All Known Subinterfaces:

Function.Composite, Polynomial, UnivariatePolynomial

public interface Function
extends Function, MathFunctor

This interface encapsulates a mathematical unary function "r = f(x)".

apply: A→B; x ↦ f(x).

Since:

Orbital1.0

Author:

André Platzer

See Also:

Function

Structure:

inherit orbital.logic.functor.Function, inherit orbital.math.functional.MathFunctor

Nested Class Summary

static interface

Function.Composite A composite function.

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Field Summary

Fields inherited from interface orbital.logic.functor.Function

callTypeDeclaration

Fields inherited from interface orbital.math.Arithmetic

numerical

Method Summary

Function	derive() Derives this function and returns the resulting Function df/dx.
Function	integrate() Integrates this function and returns the resulting indefinite integral ∫ f dx.

Methods inherited from interface orbital.logic.functor.Function

apply

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.math.Arithmetic

add, divide, equals, inverse, isOne, isZero, minus, multiply, one, power, scale, subtract, toString, valueFactory, zero

Methods inherited from interface orbital.math.Normed

norm

Method Detail

derive

Function derive()

Derives this function and returns the resulting Function df/dx.

Returns:

the derived Function df/dx = f'. Which is the (total) derivative with respect to the argument x. The partial derivative with respect to the argument x would be ∂f/∂x.

Throws:

java.lang.ArithmeticException - if this function is not derivable.

java.lang.UnsupportedOperationException - if this function does not implement derivation but could principally be derived.

integrate

Function integrate()

Integrates this function and returns the resulting indefinite integral ∫ f dx.

Returns:

the indefinite integral Function ∫ f dx.

Throws:

java.lang.ArithmeticException - if this function is not integrable.

java.lang.UnsupportedOperationException - if this function does not implement integration but could principally be integrated.