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(.module:
[library
[lux "*"
[abstract
[functor {"+" [Functor]}]
[comonad {"+" [CoMonad]}]]
[control
["//" continuation {"+" [Cont]}]
["<>" parser
["<.>" code {"+" [Parser]}]]]
[macro {"+" [with_identifiers]}
[syntax {"+" [syntax:]}]
["." code]]
[data
["." bit]
[collection
["." list ("#\." monad)]]]
[math
[number
["n" nat]]]]])
(type: .public (Sequence a)
(Cont [a (Sequence a)]))
(def: .public (iterations step init)
(All (_ a b)
(-> (-> a [a b]) a (Sequence b)))
(let [[next x] (step init)]
(//.pending [x (iterations step next)])))
(def: .public (repeated x)
(All (_ a)
(-> a (Sequence a)))
(//.pending [x (repeated x)]))
(def: .public (cycle [start next])
(All (_ a)
(-> [a (List a)] (Sequence a)))
(loop [head start
tail next]
(//.pending [head (case tail
#.End
(recur start next)
(#.Item head' tail')
(recur head' tail'))])))
(template [<name> <return>]
[(def: .public (<name> sequence)
(All (_ a) (-> (Sequence a) <return>))
(let [[head tail] (//.result sequence)]
<name>))]
[head a]
[tail (Sequence a)]
)
(def: .public (item idx sequence)
(All (_ a) (-> Nat (Sequence a) a))
(let [[head tail] (//.result sequence)]
(case idx
0 head
_ (item (-- idx) tail))))
(template [<taker> <dropper> <pred_type> <pred_test> <pred_step> <post_test>]
[(def: .public (<taker> pred xs)
(All (_ a)
(-> <pred_type> (Sequence a) (List a)))
(let [[x xs'] (//.result xs)]
(if (<post_test> <pred_test>)
(list& x (<taker> <pred_step> xs'))
(list))))
(def: .public (<dropper> pred xs)
(All (_ a)
(-> <pred_type> (Sequence a) (Sequence a)))
(let [[x xs'] (//.result xs)]
(if (<post_test> <pred_test>)
(<dropper> <pred_step> xs')
xs)))]
[while until (-> a Bit) (pred x) pred |>]
[first after Nat (n.= 0 pred) (-- pred) not]
)
(template [<splitter> <pred_type> <pred_test> <pred_step>]
[(def: .public (<splitter> pred xs)
(All (_ a)
(-> <pred_type> (Sequence a) [(List a) (Sequence a)]))
(let [[x xs'] (//.result xs)]
(if <pred_test>
[(list) xs]
(let [[tail next] (<splitter> <pred_step> xs')]
[(#.Item [x tail]) next]))))]
[split_when (-> a Bit) (pred x) pred]
[split_at Nat (n.= 0 pred) (-- pred)]
)
(def: .public (only predicate sequence)
(All (_ a) (-> (-> a Bit) (Sequence a) (Sequence a)))
(let [[head tail] (//.result sequence)]
(if (predicate head)
(//.pending [head (only predicate tail)])
(only predicate tail))))
(def: .public (partition left? xs)
(All (_ a) (-> (-> a Bit) (Sequence a) [(Sequence a) (Sequence a)]))
[(..only left? xs)
(..only (bit.complement left?) xs)])
(implementation: .public functor
(Functor Sequence)
(def: (each f fa)
(let [[head tail] (//.result fa)]
(//.pending [(f head) (each f tail)]))))
(implementation: .public comonad
(CoMonad Sequence)
(def: &functor ..functor)
(def: out head)
(def: (disjoint wa)
(let [[head tail] (//.result wa)]
(//.pending [wa (disjoint tail)]))))
(syntax: .public (^sequence& [patterns (<code>.form (<>.many <code>.any))
body <code>.any
branches (<>.some <code>.any)])
(with_identifiers [g!sequence]
(let [body+ (` (let [(~+ (|> patterns
(list\each (function (_ pattern)
(list (` [(~ pattern) (~ g!sequence)])
(` ((~! //.result) (~ g!sequence))))))
list\conjoint))]
(~ body)))]
(in (list& g!sequence body+ branches)))))
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