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(.module:
[library
[lux (#- local)
[abstract
[apply (#+ Apply)]
["." functor (#+ Functor)]
["." monad (#+ Monad do)]]]])
(type: .public (Reader r a)
(-> r a))
(def: .public read
(All (_ r) (Reader r r))
(function (_ env) env))
(def: .public (local change proc)
(All (_ r a) (-> (-> r r) (Reader r a) (Reader r a)))
(|>> change proc))
(def: .public (result env proc)
(All (_ r a) (-> r (Reader r a) a))
(proc env))
(implementation: .public functor
(All (_ r) (Functor (Reader r)))
(def: (each f fa)
(function (_ env)
(f (fa env)))))
(implementation: .public apply
(All (_ r) (Apply (Reader r)))
(def: &functor ..functor)
(def: (on fa ff)
(function (_ env)
((ff env) (fa env)))))
(implementation: .public monad
(All (_ r) (Monad (Reader r)))
(def: &functor ..functor)
(def: (in x)
(function (_ env) x))
(def: (conjoint mma)
(function (_ env)
(mma env env))))
(implementation: .public (with monad)
(All (_ M) (-> (Monad M) (All (_ e) (Monad (All (_ a) (Reader e (M a)))))))
(def: &functor
(functor.composite ..functor (value@ #monad.&functor monad)))
(def: in
(|>> (\ monad in) (\ ..monad in)))
(def: (conjoint eMeMa)
(function (_ env)
(do monad
[eMa (result env eMeMa)]
(result env eMa)))))
(def: .public lifted
(All (_ M e a) (-> (M a) (Reader e (M a))))
(\ ..monad in))
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