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(.module:
[lux #*
[abstract
[monoid (#+ Monoid)]]])
(def: #export identity
{#.doc (doc "Identity function."
"Does nothing to its argument and just returns it."
(is? (identity value)
value))}
(All [a] (-> a a))
(|>>))
(def: #export (compose f g)
{#.doc (doc "Function composition."
(= ((compose f g) "foo")
(f (g "foo"))))}
(All [a b c]
(-> (-> b c) (-> a b) (-> a c)))
(|>> g f))
(def: #export (constant value)
{#.doc (doc "Create constant functions."
(= ((constant "foo") "bar")
"foo"))}
(All [o] (-> o (All [i] (-> i o))))
(function (_ _) value))
(def: #export (flip f)
{#.doc (doc "Flips the order of the arguments of a function."
(= ((flip f) "foo" "bar")
(f "bar" "foo")))}
(All [a b c]
(-> (-> a b c) (-> b a c)))
(function (_ x y) (f y x)))
(def: #export (apply input function)
(All [i o]
(-> i (-> i o) o))
(function input))
(implementation: #export monoid
(All [a] (Monoid (-> a a)))
(def: identity ..identity)
(def: compose ..compose))
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