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|
(.using
[library
[lux (.except list)
[abstract
[equivalence (.only Equivalence)]
[functor (.only Functor)]]
[data
[collection
["[0]" list (.open: "[1]#[0]" monoid functor)]]]
[math
[number
["n" nat]]]]])
(type: .public (Queue a)
(Record
[#front (List a)
#rear (List a)]))
(def .public empty
Queue
[#front (.list)
#rear (.list)])
(def .public (of_list entries)
(All (_ a) (-> (List a) (Queue a)))
[#front entries
#rear (.list)])
(def .public (list queue)
(All (_ a) (-> (Queue a) (List a)))
(let [(open "_[0]") queue]
(list#composite _#front (list.reversed _#rear))))
(def .public front
(All (_ a) (-> (Queue a) (Maybe a)))
(|>> (the #front) list.head))
(def .public (size queue)
(All (_ a) (-> (Queue a) Nat))
(let [(open "_[0]") queue]
(n.+ (list.size _#front)
(list.size _#rear))))
(def .public empty?
(All (_ a) (-> (Queue a) Bit))
(|>> (the #front) list.empty?))
(def .public (member? equivalence queue member)
(All (_ a) (-> (Equivalence a) (Queue a) a Bit))
(let [(open "_[0]") queue]
(or (list.member? equivalence _#front member)
(list.member? equivalence _#rear member))))
(def .public (next queue)
(All (_ a) (-> (Queue a) (Queue a)))
(case (the #front queue)
... Empty...
(pattern (.list))
queue
... Front has dried up...
(pattern (.list _))
(|> queue
(has #front (list.reversed (the #rear queue)))
(has #rear (.list)))
... Consume front!
(pattern (list.partial _ front'))
(|> queue
(has #front front'))))
(def .public (end val queue)
(All (_ a) (-> a (Queue a) (Queue a)))
(case (the #front queue)
{.#End}
(has #front (.list val) queue)
_
(revised #rear (|>> {.#Item val}) queue)))
(def .public (equivalence super)
(All (_ a) (-> (Equivalence a) (Equivalence (Queue a))))
(implementation
(def (= reference subject)
(at (list.equivalence super) =
(..list reference)
(..list subject)))))
(def .public functor
(Functor Queue)
(implementation
(def (each f fa)
[#front (|> fa (the #front) (list#each f))
#rear (|> fa (the #rear) (list#each f))])))
|
