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Operadics

Standard Operators for the working Swift Librarian.

Operators

Operadics introduces the following operators at global scope

OperatorNameRecommended Type
compose• <A, B, C>(B -> C, A -> B) -> A -> C
§apply§ <A, B>(A -> B, A) -> B
<|apply<| <A, B>(A -> B, A) -> B
|>thrush|> <A, B>(A, A -> B) -> B
<-extract<- <A>(M<A>, A) -> Void
|*|on|*| <A, B, C>((B, B) -> C, A -> B) -> A -> A -> C
<>op<> <A : Monoid>(A, A) -> A
<^replace<^ <A, B>(A, F<B>) -> F<A>
^>replace^> <A, B>(F<A>, B) -> F<B>
<^>fmap<^> <A, B>(A -> B, F<A>) -> F<B>
<^^>imap<^^> <I, J, A>(I -> J, F<I, A>) -> F<J, A>
<!>contramap<^> <I, J, A>(J -> I, F<I, A>) -> F<J, A>
<*>apply<*> <A, B>(F<A -> B>, F<A>) -> F<B>
>>-bind>>- <A, B>(F<A>, A -> F<B>) -> F<B>
-<<bind-<< <A, B>(A -> F<B>, F<A>) -> F<B>
>>->>Kleisli>>->> <A, B, C>(A -> F<B>, B -> F<C>) -> A -> F<C>
<<-<<Kleisli<<-<< <A, B, C>(B -> F<C>, A -> F<B>) -> A -> F<C>
->>extend->> <A, B>(F<A>, F<A> -> B) -> F<B>
<<<r-t-l compose<<< <C, A, B, C>(C<B, C>, C<A, B>) -> C<A, C>
>>>l-t-r compose>>> <C, A, B, C>(C<A, B>, C<B, C>) -> C<A, C>
&&&split&&& <A, B, C, D>(A<B, C>, A<B, D>) -> A<B, (C, D)>
***fanout*** <A, B, C, D, E>(A<B, C>, A<D, E>) -> A<(B, D), (C, E)>
+++splat+++ <A, B, C, D, E>(A<B, C>, A<D, E>) -> A<Either<D, B>, Either<C, E>>
|||fanin||| <A, B, C, D, E>(A<B, D>, A<C, D>) -> A<Either<B, C>, D>
<+>op<+> <A, B, C>(A<B, C>, A<B, C>) -> A<B, C>
<?retrieve<? <A : JSONDecodable>(JSONValue, JSONKeypath) -> A?
<??opt retrieve<?? <A : JSONDecodable>(JSONValue, JSONKeypath) -> A??
<!force retrieve<! <A : JSONDecodable>(JSONValue, JSONKeypath) -> A
union∪ <A>(Set<A>, Set<A>) -> Set<A>
intersect∩ <A>(Set<A>, Set<A>) -> Set<A>