orbital.logic.functor
Class Functionals.Paramorphism

java.lang.Object
  orbital.logic.functor.Functionals.Paramorphism

All Implemented Interfaces:

java.io.Serializable, Function, Functor

Enclosing class:

Functionals

public static class Functionals.Paramorphism
extends java.lang.Object
implements Function, java.io.Serializable

Paramorphism recursion functional scheme (barbed wire).

A paramorphism is denoted by barbed wires.

this = {|b,f|}

Author:

André Platzer

See Also:

Functionals.barbedwire(Object, BinaryFunction, Iterator), Functionals.barbedwire(int, BinaryFunction, int), "Lambert Meertens. Paramorphisms. In: Formal Aspects of Computing, 1990.", Meijer, E. and Fokkinga, M.M. and Paterson, R., Functional Programming with Bananas, Lenses, Envelopes and Barbed Wire, FPCA91: Functional Programming Languages and Computer Architecture, pp. 124--144, volume 523, Lecture Notes in Computer Science, Springer-Verlag, 1991., Serialized Form

Nested Class Summary

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

Function.Composite

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

Functor.Specification

Field Summary

Fields inherited from interface orbital.logic.functor.Function

callTypeDeclaration

Constructor Summary

Functionals.Paramorphism(java.lang.Object b, BinaryFunction f)
Constructs a new paramorphism {|b,f|}:A^*→B.

Method Summary

java.lang.Object	apply(java.lang.Object a) {|b,f|} a.
boolean	equals(java.lang.Object o) .
int	hashCode()
java.lang.String	toString() Returns a string representation of the Functor.

Methods inherited from class java.lang.Object

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

Constructor Detail

Functionals.Paramorphism

public Functionals.Paramorphism(java.lang.Object b,
                                BinaryFunction f)

Constructs a new paramorphism {|b,f|}:A^*→B.

Parameters:

b - is the basevalue b∈B to use.

f - is a binary function f:A×(A^*||B)→B.

Method Detail

equals

public boolean equals(java.lang.Object o)

Description copied from interface: Functor

.

Note that functors will often provide intensional equality only, since the mathematical notion of extensional equality for functions and predicates is undecidable anyway (Proposition of Rice). Nevertheless implementations are encouraged to provide a larger subset of extensional equality as far as possible.

Specified by:

equals in interface Functor

Overrides:

equals in class java.lang.Object

hashCode

public int hashCode()

Specified by:

hashCode in interface Functor

Overrides:

hashCode in class java.lang.Object

apply

public final java.lang.Object apply(java.lang.Object a)

{|b,f|} a.

para ∅	=	b
para [a|as]	=	f(a, ⟨as, para as⟩)
{|b,f|} := barbedwire(b,f) := para

Specified by:

apply in interface Function

Parameters:

a - is a generalized iteratable over a list of objects.

Returns:

the value {|b,f|} a.

toString

public java.lang.String toString()

Description copied from interface: Functor

Returns a string representation of the Functor.

This method is already provided in Object.toString(). If it is overwritten it should return a nice name for the functor.

Specified by:

toString in interface Functor

Overrides:

toString in class java.lang.Object

Returns:

a nice name for the functor.