# Polymorphism

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[[Category:Glossary]] | [[Category:Glossary]] | ||

− | A value is | + | A value is polymorphic if, depending on the context where it's used, it can take on more than one type. |

− | + | There are different kinds of polymorphism. | |

#[[Parametric polymorphism]]; mostly found in functional languages | #[[Parametric polymorphism]]; mostly found in functional languages | ||

+ | #[[Ad-hoc polymorphism]] or overloading | ||

#[[Inclusion polymorphism]]; mostly found in object oriented languages | #[[Inclusion polymorphism]]; mostly found in object oriented languages | ||

− | |||

− | == | + | == Examples == |

<haskell> | <haskell> | ||

foldr :: forall a b. (a -> b -> b) -> b -> [a] -> b | foldr :: forall a b. (a -> b -> b) -> b -> [a] -> b | ||

</haskell> | </haskell> | ||

− | <hask>foldr</hask> is a | + | <hask>foldr</hask> is a parametric polymorphic [[function]]. When actually used, it may take on any of a variety of types, for example: |

<haskell> | <haskell> | ||

::(Char ->Int->Int)->Int->String->Int | ::(Char ->Int->Int)->Int->String->Int | ||

::(String->String->String)->String->[String]->String | ::(String->String->String)->String->[String]->String | ||

</haskell> | </haskell> | ||

− | An "integer literal" is polymorphic: | + | An "integer literal" is a parametric polymorphic data type: |

<haskell> | <haskell> | ||

1 :: forall t. (Num t) => t | 1 :: forall t. (Num t) => t | ||

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== References == | == References == | ||

*[http://citeseer.nj.nec.com/cardelli85understanding.html On Understanding Types, Data Abstraction, and Polymorphism (1985)], by Luca Cardelli, Peter Wegner in ACM Computing Surveys. | *[http://citeseer.nj.nec.com/cardelli85understanding.html On Understanding Types, Data Abstraction, and Polymorphism (1985)], by Luca Cardelli, Peter Wegner in ACM Computing Surveys. | ||

+ | |||

+ | *[http://en.wikipedia.org/wiki/Type_polymorphism Type polymorphism] at Wikipedia |

## Revision as of 07:02, 6 October 2009

A value is polymorphic if, depending on the context where it's used, it can take on more than one type.

There are different kinds of polymorphism.

- Parametric polymorphism; mostly found in functional languages
- Ad-hoc polymorphism or overloading
- Inclusion polymorphism; mostly found in object oriented languages

## 1 Examples

foldr :: forall a b. (a -> b -> b) -> b -> [a] -> b

foldr

::(Char ->Int->Int)->Int->String->Int ::(String->String->String)->String->[String]->String

An "integer literal" is a parametric polymorphic data type:

1 :: forall t. (Num t) => t

## 2 References

- On Understanding Types, Data Abstraction, and Polymorphism (1985), by Luca Cardelli, Peter Wegner in ACM Computing Surveys.

- Type polymorphism at Wikipedia