orbital.math.functional
Interface BinaryFunction

All Superinterfaces:

Arithmetic, BinaryFunction, Functor, MathFunctor, Normed

All Known Subinterfaces:

BinaryFunction.Composite

public interface BinaryFunction
extends BinaryFunction, MathFunctor

This interface encapsulates a binary function "r = f(x,y)".

apply: A×B→C; (x,y) ↦ f(x,y).
Where A×A is often written as A² as well.

Since:

Orbital1.0

Author:

André Platzer

Structure:

inherits orbital.logic.functor.BinaryFunction, inherits orbital.math.functional.MathFunctor

Nested Class Summary

static interface

BinaryFunction.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.BinaryFunction

callTypeDeclaration

Fields inherited from interface orbital.math.Arithmetic

numerical

Method Summary

BinaryFunction	derive() Derives this function and returns the resulting BinaryFunction df/d(x,y).
BinaryFunction	integrate(int i) Integrates this function and returns the resulting indefinite integral ∫ f dxi.

Methods inherited from interface orbital.logic.functor.BinaryFunction

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

BinaryFunction derive()

Derives this function and returns the resulting BinaryFunction df/d(x,y). Which is the total derivative with respect to the arguments x, y.

Throws:

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

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

integrate

BinaryFunction integrate(int i)

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

Returns:

the indefinite integral Function ∫ f dx_i.

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.

Preconditions:

0<=i && i<=1