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(.module:
[lux #*
[abstract
[equivalence (#+ Equivalence)]
[functor (#+ Functor)]]
[data
[collection
["." list ("#\." monoid functor)]]]
[math
[number
["n" nat]]]])
(type: #export (Queue a)
{#front (List a)
#rear (List a)})
(def: #export empty
Queue
{#front (list)
#rear (list)})
(def: #export (from_list entries)
(All [a] (-> (List a) (Queue a)))
{#front entries
#rear (list)})
(def: #export (to_list queue)
(All [a] (-> (Queue a) (List a)))
(let [(^slots [#front #rear]) queue]
(list\compose front (list.reverse rear))))
(def: #export peek
(All [a] (-> (Queue a) (Maybe a)))
(|>> (get@ #front) list.head))
(def: #export (size queue)
(All [a] (-> (Queue a) Nat))
(let [(^slots [#front #rear]) queue]
(n.+ (list.size front)
(list.size rear))))
(def: #export empty?
(All [a] (-> (Queue a) Bit))
(|>> (get@ #front) list.empty?))
(def: #export (member? equivalence queue member)
(All [a] (-> (Equivalence a) (Queue a) a Bit))
(let [(^slots [#front #rear]) queue]
(or (list.member? equivalence front member)
(list.member? equivalence rear member))))
(def: #export (pop queue)
(All [a] (-> (Queue a) (Queue a)))
(case (get@ #front queue)
## Empty...
(^ (list))
queue
## Front has dried up...
(^ (list _))
(|> queue
(set@ #front (list.reverse (get@ #rear queue)))
(set@ #rear (list)))
## Consume front!
(^ (list& _ front'))
(|> queue
(set@ #front front'))))
(def: #export (push val queue)
(All [a] (-> a (Queue a) (Queue a)))
(case (get@ #front queue)
#.Nil
(set@ #front (list val) queue)
_
(update@ #rear (|>> (#.Cons val)) queue)))
(structure: #export (equivalence super)
(All [a] (-> (Equivalence a) (Equivalence (Queue a))))
(def: (= reference subject)
(\ (list.equivalence super) =
(..to_list reference)
(..to_list subject))))
(structure: #export functor
(Functor Queue)
(def: (map f fa)
{#front (|> fa (get@ #front) (list\map f))
#rear (|> fa (get@ #rear) (list\map f))}))
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