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(.using
[library
[lux {"-" local}
[abstract
[functor {"+" Functor}]
[apply {"+" Apply}]
[monad {"+" Monad do}]]]])
(type: .public (State s a)
(-> s [s a]))
(def: .public get
(All (_ s) (State s s))
(function (_ state)
[state state]))
(def: .public (put new_state)
(All (_ s) (-> s (State s Any)))
(function (_ state)
[new_state []]))
(def: .public (update change)
(All (_ s) (-> (-> s s) (State s Any)))
(function (_ state)
[(change state) []]))
(def: .public (use user)
(All (_ s a) (-> (-> s a) (State s a)))
(function (_ state)
[state (user state)]))
(def: .public (local change action)
(All (_ s a) (-> (-> s s) (State s a) (State s a)))
(function (_ state)
(let [[state' output] (action (change state))]
[state output])))
(def: .public (result state action)
(All (_ s a) (-> s (State s a) [s a]))
(action state))
(implementation: .public functor
(All (_ s) (Functor (State s)))
(def: (each f ma)
(function (_ state)
(let [[state' a] (ma state)]
[state' (f a)]))))
(implementation: .public apply
(All (_ s) (Apply (State s)))
(def: functor ..functor)
(def: (on fa ff)
(function (_ state)
(let [[state' f] (ff state)
[state'' a] (fa state')]
[state'' (f a)]))))
(implementation: .public monad
(All (_ s) (Monad (State s)))
(def: functor ..functor)
(def: (in a)
(function (_ state)
[state a]))
(def: (conjoint mma)
(function (_ state)
(let [[state' ma] (mma state)]
(ma state')))))
(def: .public (while condition body)
(All (_ s) (-> (State s Bit) (State s Any) (State s Any)))
(do [! ..monad]
[execute? condition]
(if execute?
(do !
[_ body]
(while condition body))
(in []))))
(def: .public (do_while condition body)
(All (_ s) (-> (State s Bit) (State s Any) (State s Any)))
(do ..monad
[_ body]
(while condition body)))
(implementation: (with//functor functor)
(All (_ M s) (-> (Functor M) (Functor (All (_ a) (-> s (M [s a]))))))
(def: (each f sfa)
(function (_ state)
(# functor each (function (_ [s a]) [s (f a)])
(sfa state)))))
(implementation: (with//apply monad)
(All (_ M s) (-> (Monad M) (Apply (All (_ a) (-> s (M [s a]))))))
(def: functor (with//functor (# monad functor)))
(def: (on sFa sFf)
(function (_ state)
(do monad
[[state f] (sFf state)
[state a] (sFa state)]
(in [state (f a)])))))
(type: .public (+State M s a)
(-> s (M [s a])))
(def: .public (result' state action)
(All (_ M s a) (-> s (+State M s a) (M [s a])))
(action state))
(implementation: .public (with monad)
(All (_ M s) (-> (Monad M) (Monad (+State M s))))
(def: functor (with//functor (# monad functor)))
(def: (in a)
(function (_ state)
(# monad in [state a])))
(def: (conjoint sMsMa)
(function (_ state)
(do monad
[[state' sMa] (sMsMa state)]
(sMa state')))))
(def: .public (lifted monad ma)
(All (_ M s a) (-> (Monad M) (M a) (+State M s a)))
(function (_ state)
(do monad
[a ma]
(in [state a]))))
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