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|
(.using
[library
[lux {"-" Or And}]])
(type: .public (Functor f)
(Interface
(: (All (_ a b)
(-> (-> a b)
(-> (f a) (f b))))
each)))
(type: .public (Or f g)
(All (_ a) (.Or (f a) (g a))))
(def: .public (sum (^open "f#[0]") (^open "g#[0]"))
(All (_ F G) (-> (Functor F) (Functor G) (Functor (..Or F G))))
(implementation
(def: (each f fa|ga)
(case fa|ga
{.#Left fa}
{.#Left (f#each f fa)}
{.#Right ga}
{.#Right (g#each f ga)}))))
(type: .public (And f g)
(All (_ a) (.And (f a) (g a))))
(def: .public (product (^open "f#[0]") (^open "g#[0]"))
(All (_ F G) (-> (Functor F) (Functor G) (Functor (..And F G))))
(implementation
(def: (each f [fa ga])
[(f#each f fa)
(g#each f ga)])))
(type: .public (Then f g)
(All (_ a) (f (g a))))
(def: .public (composite (^open "f#[0]") (^open "g#[0]"))
(All (_ F G) (-> (Functor F) (Functor G) (Functor (..Then F G))))
(implementation
(def: (each f fga)
(f#each (g#each f) fga))))
|
