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(.module:
[library
[lux {"-" [list]}
[abstract
[equivalence {"+" [Equivalence]}]
[functor {"+" [Functor]}]]
[data
[collection
["." list ("#\." 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 [(^slots [#front #rear]) queue]
(list\composite front (list.reversed rear))))
(def: .public front
(All (_ a) (-> (Queue a) (Maybe a)))
(|>> (value@ #front) list.head))
(def: .public (size queue)
(All (_ a) (-> (Queue a) Nat))
(let [(^slots [#front #rear]) queue]
(n.+ (list.size front)
(list.size rear))))
(def: .public empty?
(All (_ a) (-> (Queue a) Bit))
(|>> (value@ #front) list.empty?))
(def: .public (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: .public (next queue)
(All (_ a) (-> (Queue a) (Queue a)))
(case (value@ #front queue)
... Empty...
(^ (.list))
queue
... Front has dried up...
(^ (.list _))
(|> queue
(with@ #front (list.reversed (value@ #rear queue)))
(with@ #rear (.list)))
... Consume front!
(^ (.list& _ front'))
(|> queue
(with@ #front front'))))
(def: .public (end val queue)
(All (_ a) (-> a (Queue a) (Queue a)))
(case (value@ #front queue)
#.End
(with@ #front (.list val) queue)
_
(revised@ #rear (|>> (#.Item val)) queue)))
(implementation: .public (equivalence super)
(All (_ a) (-> (Equivalence a) (Equivalence (Queue a))))
(def: (= reference subject)
(\ (list.equivalence super) =
(..list reference)
(..list subject))))
(implementation: .public functor
(Functor Queue)
(def: (each f fa)
[#front (|> fa (value@ #front) (list\each f))
#rear (|> fa (value@ #rear) (list\each f))]))
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