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(.module:
lux
(lux (control ["p" parser]
["ex" exception #+ exception:]
[monad #+ Monad do]
(monad [indexed #+ IxMonad]))
(data [identity #+ Identity]
[maybe]
[product]
[number]
text/format
(coll (dictionary ["dict" unordered #+ Dict])
(set ["set" unordered])
[sequence #+ Sequence]
[list "list/" Functor<List> Fold<List>]))
(concurrency [promise #+ Promise])
[macro]
(macro ["s" syntax #+ Syntax syntax:])
(type abstract)
[io #+ IO]))
(type: #export (Procedure monad input output value)
(-> input (monad [output value])))
(type: #export (Linear monad value)
(All [keys]
(Procedure monad keys keys value)))
(type: #export (Affine monad permissions value)
(All [keys]
(Procedure monad keys [permissions keys] value)))
(type: #export (Relevant monad permissions value)
(All [keys]
(Procedure monad [permissions keys] keys value)))
(struct: (IxMonad<Procedure> Monad<m>)
(All [m] (-> (Monad m) (IxMonad (Procedure m))))
(def: (wrap value)
(function (_ keys)
(:: Monad<m> wrap [keys value])))
(def: (bind f input)
(function (_ keysI)
(do Monad<m>
[[keysT value] (input keysI)]
((f value) keysT)))))
(do-template [<name> <m> <monad> <execute> <lift>]
[(def: #export <name>
(IxMonad (Procedure <m>))
(IxMonad<Procedure> <monad>))
(def: #export (<execute> procedure)
(All [v] (-> (Linear <m> v) (<m> v)))
(do <monad>
[[_ output] (procedure [])]
(wrap output)))
(def: #export (<lift> procedure)
(All [v] (-> (<m> v) (Linear <m> v)))
(function (_ keys)
(do <monad>
[output procedure]
(wrap [keys output]))))]
[IxMonad<Pure> Identity identity.Monad<Identity> run-pure lift-pure]
[IxMonad<Sync> IO io.Monad<IO> run-sync lift-sync]
[IxMonad<Async> Promise promise.Monad<Promise> run-async lift-async]
)
(abstract: #export Ordered {} [])
(abstract: #export Commutative {} [])
(abstract: #export (Key mode key) {}
[]
(do-template [<name> <mode>]
[(def: <name>
(Ex [k] (-> [] (Key <mode> k)))
(|>> :abstraction))]
[ordered-key Ordered]
[commutative-key Commutative]
))
(type: #export OK (Key Ordered))
(type: #export CK (Key Commutative))
(abstract: #export (Res key value)
{#.doc "A value locked by a key."}
value
(do-template [<name> <m> <monad> <mode> <key>]
[(def: #export (<name> value)
(All [v] (Ex [k] (-> v (Affine <m> (Key <mode> k) (Res k v)))))
(function (_ keys)
(:: <monad> wrap [[(<key> []) keys] (:abstraction value)])))]
[ordered-pure Identity identity.Monad<Identity> Ordered ordered-key]
[ordered-sync IO io.Monad<IO> Ordered ordered-key]
[ordered-async Promise promise.Monad<Promise> Ordered ordered-key]
[commutative-sync IO io.Monad<IO> Commutative commutative-key]
[commutative-pure Identity identity.Monad<Identity> Commutative commutative-key]
[commutative-async Promise promise.Monad<Promise> Commutative commutative-key])
(do-template [<name> <m> <monad>]
[(def: #export (<name> resource)
(All [v k m]
(-> (Res k v) (Relevant <m> (Key m k) v)))
(function (_ [key keys])
(:: <monad> wrap [keys (:representation resource)])))]
[read-pure Identity identity.Monad<Identity>]
[read-sync IO io.Monad<IO>]
[read-async Promise promise.Monad<Promise>]))
(exception: #export (index-cannot-be-repeated {index Nat})
(%n index))
(exception: #export amount-cannot-be-zero)
(def: indices
(Syntax (List Nat))
(s.tuple (loop [seen (set.new number.Hash<Nat>)]
(do p.Monad<Parser>
[done? s.end?]
(if done?
(wrap (list))
(do @
[head s.nat
_ (p.assert (ex.construct index-cannot-be-repeated head)
(not (set.member? seen head)))
tail (recur (set.add head seen))]
(wrap (list& head tail))))))))
(def: (no-op Monad<m>)
(All [m] (-> (Monad m) (Linear m Any)))
(function (_ context) (:: Monad<m> wrap [context []])))
(do-template [<name> <m> <monad>]
[(syntax: #export (<name> {swaps ..indices})
(macro.with-gensyms [g!_ g!context]
(case swaps
#.Nil
(wrap (list (` ((~! no-op) <monad>))))
(#.Cons head tail)
(do macro.Monad<Meta>
[#let [max-idx (list/fold n/max head tail)]
g!inputs (<| (monad.seq @) (list.repeat (inc max-idx)) (macro.gensym "input"))
#let [g!outputs (|> (monad.fold maybe.Monad<Maybe>
(function (_ from to)
(do maybe.Monad<Maybe>
[input (list.nth from g!inputs)]
(wrap (sequence.add input to))))
(: (Sequence Code) sequence.empty)
swaps)
maybe.assume
sequence.to-list)
g!inputsT+ (list/map (|>> (~) ..CK (`)) g!inputs)
g!outputsT+ (list/map (|>> (~) ..CK (`)) g!outputs)]]
(wrap (list (` (: (All [(~+ g!inputs) (~ g!context)]
(Procedure (~! <m>)
[(~+ g!inputsT+) (~ g!context)]
[(~+ g!outputsT+) (~ g!context)]
.Any))
(function ((~ g!_) [(~+ g!inputs) (~ g!context)])
(:: (~! <monad>) (~' wrap) [[(~+ g!outputs) (~ g!context)] []]))))))))))]
[exchange-pure Identity identity.Monad<Identity>]
[exchange-sync IO io.Monad<IO>]
[exchange-async Promise promise.Monad<Promise>])
(def: amount
(Syntax Nat)
(do p.Monad<Parser>
[raw s.nat
_ (p.assert (ex.construct amount-cannot-be-zero [])
(n/> +0 raw))]
(wrap raw)))
(do-template [<name> <m> <monad> <from> <to>]
[(syntax: #export (<name> {amount ..amount})
(macro.with-gensyms [g!_ g!context]
(do macro.Monad<Meta>
[g!keys (<| (monad.seq @) (list.repeat amount) (macro.gensym "keys"))]
(wrap (list (` (: (All [(~+ g!keys) (~ g!context)]
(Procedure (~! <m>)
[<from> (~ g!context)]
[<to> (~ g!context)]
.Any))
(function ((~ g!_) [<from> (~ g!context)])
(:: (~! <monad>) (~' wrap) [[<to> (~ g!context)] []])))))))))]
[group-pure Identity identity.Monad<Identity> (~+ g!keys) [(~+ g!keys)]]
[group-sync IO io.Monad<IO> (~+ g!keys) [(~+ g!keys)]]
[group-async Promise promise.Monad<Promise> (~+ g!keys) [(~+ g!keys)]]
[un-group-pure Identity identity.Monad<Identity> [(~+ g!keys)] (~+ g!keys)]
[un-group-sync IO io.Monad<IO> [(~+ g!keys)] (~+ g!keys)]
[un-group-async Promise promise.Monad<Promise> [(~+ g!keys)] (~+ g!keys)]
)
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