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(;module:
lux
(lux (control monoid
["F" functor]
[eq #+ Eq]
fold)
(data (coll [list "List/" Fold<List>])
[product])
))
## [Types]
(type: #export (Array a)
{#;doc "Mutable arrays."}
(#;Host "#Array" (#;Cons a #;Nil)))
## [Functions]
(def: #export (new size)
(All [a] (-> Nat (Array a)))
(_lux_proc ["array" "new"] [size]))
(def: #export (size xs)
(All [a] (-> (Array a) Nat))
(_lux_proc ["array" "size"] [xs]))
(def: #export (get i xs)
(All [a]
(-> Nat (Array a) (Maybe a)))
(_lux_proc ["array" "get"] [xs i]))
(def: #export (put i x xs)
(All [a]
(-> Nat a (Array a) (Array a)))
(_lux_proc ["array" "put"] [xs i x]))
(def: #export (remove i xs)
(All [a]
(-> Nat (Array a) (Array a)))
(_lux_proc ["array" "remove"] [xs i]))
(def: #export (copy length src-start src-array dest-start dest-array)
(All [a] (-> Nat Nat (Array a) Nat (Array a)
(Array a)))
(if (n.= +0 length)
dest-array
(List/fold (function [offset target]
(case (get (n.+ offset src-start) src-array)
#;None
target
(#;Some value)
(put (n.+ offset dest-start) value target)))
dest-array
(list;n.range +0 (n.dec length)))))
(def: #export (occupied array)
{#;doc "Finds out how many cells in an array are occupied."}
(All [a] (-> (Array a) Nat))
(List/fold (function [idx count]
(case (get idx array)
#;None
count
(#;Some _)
(n.inc count)))
+0
(list;indices (size array))))
(def: #export (vacant array)
{#;doc "Finds out how many cells in an array are vacant."}
(All [a] (-> (Array a) Nat))
(n.- (occupied array) (size array)))
(def: #export (filter p xs)
(All [a]
(-> (-> a Bool) (Array a) (Array a)))
(List/fold (: (-> Nat (Array ($ +0)) (Array ($ +0)))
(function [idx xs']
(case (get idx xs)
#;None
xs'
(#;Some x)
(if (p x)
xs'
(remove idx xs')))))
xs
(list;indices (size xs))))
(def: #export (find p xs)
(All [a]
(-> (-> a Bool) (Array a) (Maybe a)))
(let [arr-size (size xs)]
(loop [idx +0]
(if (n.< arr-size idx)
(case (get idx xs)
#;None
(recur (n.inc idx))
(#;Some x)
(if (p x)
(#;Some x)
(recur (n.inc idx))))
#;None))))
(def: #export (find+ p xs)
{#;doc "Just like 'find', but with access to the index of each value."}
(All [a]
(-> (-> Nat a Bool) (Array a) (Maybe [Nat a])))
(let [arr-size (size xs)]
(loop [idx +0]
(if (n.< arr-size idx)
(case (get idx xs)
#;None
(recur (n.inc idx))
(#;Some x)
(if (p idx x)
(#;Some [idx x])
(recur (n.inc idx))))
#;None))))
(def: #export (clone xs)
(All [a] (-> (Array a) (Array a)))
(let [arr-size (size xs)]
(List/fold (function [idx ys]
(case (get idx xs)
#;None
ys
(#;Some x)
(put idx x ys)))
(new arr-size)
(list;indices arr-size))))
(def: #export (from-list xs)
(All [a] (-> (List a) (Array a)))
(product;right (List/fold (function [x [idx arr]]
[(n.inc idx) (put idx x arr)])
[+0 (new (list;size xs))]
xs)))
(def: #export (to-list array)
(All [a] (-> (Array a) (List a)))
(let [_size (size array)]
(product;right (List/fold (function [_ [idx tail]]
(case (get idx array)
(#;Some head)
[(n.dec idx) (#;Cons head tail)]
#;None
[(n.dec idx) tail]))
[(n.dec _size) #;Nil]
(list;repeat _size [])
))))
## [Structures]
(struct: #export (Eq<Array> Eq<a>)
(All [a] (-> (Eq a) (Eq (Array a))))
(def: (= xs ys)
(let [sxs (size xs)
sxy (size ys)]
(and (n.= sxy sxs)
(List/fold (function [idx prev]
(and prev
(case [(get idx xs) (get idx ys)]
[#;None #;None]
true
[(#;Some x) (#;Some y)]
(:: Eq<a> = x y)
_
false)))
true
(list;n.range +0 (n.dec sxs)))))
))
(struct: #export Monoid<Array> (All [a]
(Monoid (Array a)))
(def: identity (new +0))
(def: (compose xs ys)
(let [sxs (size xs)
sxy (size ys)]
(|> (new (n.+ sxy sxs))
(copy sxs +0 xs +0)
(copy sxy +0 ys sxs)))))
(struct: #export _ (F;Functor Array)
(def: (map f ma)
(let [arr-size (size ma)]
(if (n.= +0 arr-size)
(new arr-size)
(List/fold (: (-> Nat (Array ($ +1)) (Array ($ +1)))
(function [idx mb]
(case (get idx ma)
#;None
mb
(#;Some x)
(put idx (f x) mb))))
(new arr-size)
(list;n.range +0 (n.dec arr-size)))))))
(struct: #export _ (Fold Array)
(def: (fold f init xs)
(let [arr-size (size xs)]
(loop [so-far init
idx +0]
(if (n.< arr-size idx)
(case (get idx xs)
#;None
(recur so-far (n.inc idx))
(#;Some value)
(recur (f value so-far) (n.inc idx)))
so-far)))))
|
