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(.module:
[library
[lux #*
[abstract
[functor (#+ Functor)]
comonad]
[type
implicit]]])
(type: #export (Store s a)
{#cursor s
#peek (-> s a)})
(def: (extend f wa)
(All [s a b] (-> (-> (Store s a) b) (Store s a) (Store s b)))
{#cursor (get@ #cursor wa)
#peek (function (_ s) (f (set@ #cursor s wa)))})
(implementation: #export functor
(All [s] (Functor (Store s)))
(def: (map f fa)
(extend (function (_ store)
(f (\ store peek (\ store cursor))))
fa)))
(implementation: #export comonad
(All [s] (CoMonad (Store s)))
(def: &functor ..functor)
(def: (unwrap wa) (\\ peek (\\ cursor)))
(def: split (extend id)))
(def: #export (peeks trans store)
(All [s a] (-> (-> s s) (Store s a) a))
(|> (\\ cursor) trans (\\ peek)))
(def: #export (seek cursor store)
(All [s a] (-> s (Store s a) (Store s a)))
(\ (\\ split store) peek cursor))
(def: #export (seeks change store)
(All [s a] (-> (-> s s) (Store s a) (Store s a)))
(|> store (\\ split) (peeks change)))
(def: #export (experiment Functor<f> change store)
(All [f s a] (-> (Functor f) (-> s (f s)) (Store s a) (f a)))
(\ Functor<f> map (\\ peek) (change (\\ cursor))))
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