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... Inspired by;
... "The Different Aspects of Monads and Mixins" by Bruno C. d. S. Oliveira
(.using
[library
[lux "*"
[abstract
[hash {"+" Hash}]
[monad {"+" do}]]
[control
["[0]" state {"+" State}]]
[data
["[0]" product]
[collection
["[0]" dictionary {"+" Dictionary}]]]]]
["[0]" // "_"
["[1]" mixin {"+" Mixin Recursive}]])
(def: .public memoization
(All (_ i o)
(Mixin i (State (Dictionary i o) o)))
(function (_ delegate recur)
(function (_ input)
(do [! state.monad]
[memory state.get]
(case (dictionary.value input memory)
{.#Some output}
(in output)
{.#None}
(do !
[output (delegate input)
_ (state.update (dictionary.has input output))]
(in output)))))))
(type: .public (Memo i o)
(Recursive i (State (Dictionary i o) o)))
(def: .public (open memo)
(All (_ i o)
(:let [Memory (Dictionary i o)]
(-> (Memo i o) (-> [Memory i] [Memory o]))))
(let [memo (//.fixed (//.mixed ..memoization (//.of_recursive memo)))]
(function (_ [memory input])
(|> input memo (state.result memory)))))
(def: .public (closed hash memo)
(All (_ i o)
(-> (Hash i) (Memo i o) (-> i o)))
(let [memo (//.fixed (//.mixed ..memoization (//.of_recursive memo)))
empty (dictionary.empty hash)]
(|>> memo (state.result empty) product.right)))
(def: .public (none hash memo)
(All (_ i o)
(-> (Hash i) (Memo i o) (-> i o)))
(let [memo (//.fixed (//.of_recursive memo))
empty (dictionary.empty hash)]
(|>> memo (state.result empty) product.right)))
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