mirror of
https://github.com/unisonweb/unison.git
synced 2024-11-14 07:51:12 +03:00
389 lines
10 KiB
Plaintext
389 lines
10 KiB
Plaintext
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use Universal == < > >=
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use Optional None Some
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namespace Sequence where
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map : (a -> b) -> [a] -> [b]
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map f a =
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go i as acc = case Sequence.at i as of
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None -> acc
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Some a -> go (i + 1) as (acc `snoc` f a)
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go 0 a []
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zip : [a] -> [b] -> [(a,b)]
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zip as bs =
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go acc i = case (at i as, at i bs) of
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(None,_) -> acc
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(_,None) -> acc
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(Some a, Some b) -> go (acc `snoc` (a,b)) (i + 1)
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go [] 0
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insert : Nat -> a -> [a] -> [a]
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insert i a as = take i as ++ [a] ++ drop i as
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replace : Nat -> a -> [a] -> [a]
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replace i a as = take i as ++ [a] ++ drop (i + 1) as
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slice : Nat -> Nat -> [a] -> [a]
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slice start stopExclusive s =
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take (stopExclusive `Nat.drop` start) (drop start s)
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unsafeAt : Nat -> [a] -> a
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unsafeAt n as = case at n as of
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Some a -> a
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None -> Debug.watch "oh noes" (unsafeAt n as) -- Debug.crash "oh noes!"
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foldl : (b -> a -> b) -> b -> [a] -> b
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foldl f b as =
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go b i = case Sequence.at i as of
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None -> b
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Some a -> go (f b a) (i + 1)
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go b 0
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foldb : (a -> b) -> (b -> b -> b) -> b -> [a] -> b
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foldb f op z as =
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if Sequence.size as == 0 then z
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else if Sequence.size as == 1 then f (unsafeAt 0 as)
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else case halve as of (left, right) ->
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foldb f op z left `op` foldb f op z right
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reverse : [a] -> [a]
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reverse as = foldl (acc a -> cons a acc) [] as
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indexed : [a] -> [(a, Nat)]
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indexed as = as `zip` range 0 (size as)
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sortBy : (a -> b) -> [a] -> [a]
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sortBy f as =
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tweak p = (f (at1 p), at2 p, at1 p)
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Heap.sort (map tweak (indexed as)) |> map at3
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halve : [a] -> ([a], [a])
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halve s =
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n = size s / 2
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(take n s, drop n s)
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unfold : s -> (s -> Optional (a, s)) -> [a]
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unfold s0 f =
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go f s acc = case f s of
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None -> acc
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Some (a, s) -> go f s (acc `snoc` a)
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go f s0 []
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uncons : [a] -> Optional (a, [a])
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uncons as = case at 0 as of
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None -> None
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Some a -> Some (a, drop 1 as)
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unsnoc : [a] -> Optional ([a], a)
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unsnoc as =
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i = size as `drop` 1
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case at i as of
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None -> None
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Some a -> Some (take i as, a)
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join : [[a]] -> [a]
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join = foldl (++) []
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flatMap : (a -> [b]) -> [a] -> [b]
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flatMap f as = join (map f as)
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range : Nat -> Nat -> [Nat]
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range start stopExclusive =
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f i = if i < stopExclusive then Some (i, i + 1) else None
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unfold start f
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distinct : [a] -> [a]
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distinct as =
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go i seen acc = case Sequence.at i as of
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None -> acc
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Some a -> if Set.contains a seen then go (i + 1) seen acc
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else go (i + 1) (Set.insert a seen) (acc `snoc` a)
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go 0 Set.empty []
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-- > Sequence.foldb "" (t t2 -> "(" ++ t ++ " " ++ t2 ++ ")") (x -> x) ["Alice", "Bob", "Carol", "Dave", "Eve", "Frank", "Gerald", "Henry"]
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-- Sorted maps, represented as a pair of sequences
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-- Use binary search to do lookups and find insertion points
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-- This relies on the underlying sequence having efficient
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-- slicing and concatenation
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type Map k v = Map [k] [v]
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use Map Map
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namespace Search where
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indexOf : a -> [a] -> Optional Nat
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indexOf a s =
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ao = Some a
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Search.exact (i -> ao `compare` Sequence.at i s) 0 (size s)
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lubIndexOf' : a -> Nat -> [a] -> Nat
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lubIndexOf' a start s =
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ao = Some a
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Search.lub (i -> ao `compare` Sequence.at i s) start (size s)
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lubIndexOf : a -> [a] -> Nat
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lubIndexOf a s = lubIndexOf' a 0 s
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lub : (Nat -> Int) -> Nat -> Nat -> Nat
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lub hit bot top =
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if bot >= top then top
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else
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mid = (bot + top) / 2
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case hit mid of
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+0 -> mid
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-1 -> lub hit bot mid
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+1 -> lub hit (mid + 1) top
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exact : (Nat -> Int) -> Nat -> Nat -> Optional Nat
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exact hit bot top =
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if bot >= top then None
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else
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mid = (bot + top) / 2
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case hit mid of
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+0 -> Some mid
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-1 -> exact hit bot mid
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+1 -> exact hit (mid + 1) top
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-- > ex = [0,2,4,6,77,192,3838,12000]
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-- > Sequence.map (e -> indexOf e ex) ex
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-- > lubIndexOf 193 ex
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use Pair Pair
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namespace Tuple where
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at1 : Pair a b -> a
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at1 p = case p of Pair a _ -> a
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at2 : Pair a (Pair b c) -> b
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at2 p = case p of Pair _ (Pair b _) -> b
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at3 : Pair a (Pair b (Pair c d)) -> c
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at3 p = case p of Pair _ (Pair _ (Pair c _)) -> c
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at4 : Pair a (Pair b (Pair c (Pair d e))) -> d
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at4 p = case p of Pair _ (Pair _ (Pair _ (Pair d _))) -> d
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(|>) : a -> (a -> b) -> b
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a |> f = f a
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(<|) : (a -> b) -> a -> b
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f <| a = f a
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id : a -> a
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id a = a
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namespace Map where
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empty : Map k v
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empty = Map [] []
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singleton : k -> v -> Map k v
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singleton k v = Map [k] [v]
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fromSequence : [(k,v)] -> Map k v
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fromSequence kvs =
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go acc i = case Sequence.at i kvs of
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None -> acc
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Some (k,v) -> go (insert k v acc) (i + 1)
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go empty 0
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toSequence : Map k v -> [(k,v)]
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toSequence m = Sequence.zip (keys m) (values m)
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size : Map k v -> Nat
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size s = Sequence.size (keys s)
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lookup : k -> Map k v -> Optional v
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lookup k m = case m of
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Map ks vs -> case Search.indexOf k ks of
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None -> None
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Some i -> at i vs
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contains : k -> Map k v -> Boolean
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contains k m = case m of Map ks _ -> case Search.indexOf k ks of
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None -> false
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_ -> true
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insert : k -> v -> Map k v -> Map k v
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insert k v m = case m of Map ks vs ->
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use Search lubIndexOf
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i = lubIndexOf k ks
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case at i ks of
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Some k' ->
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if k == k' then Map ks (Sequence.replace i v vs)
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else Map (Sequence.insert i k ks) (Sequence.insert i v vs)
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None -> Map (ks `snoc` k) (vs `snoc` v)
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map : (v -> v2) -> Map k v -> Map k v2
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map f m = Map (keys m) (Sequence.map f (values m))
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union : Map k v -> Map k v -> Map k v
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union = unionWith (_ v -> v)
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unionWith : (v -> v -> v) -> Map k v -> Map k v -> Map k v
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unionWith f m1 m2 = case (m1, m2) of (Map k1 v1, Map k2 v2) ->
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go i j ko vo = case (at i k1, at j k2) of
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(None, _) -> Map (ko ++ drop j k2) (vo ++ drop j v2)
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(_, None) -> Map (ko ++ drop i k1) (vo ++ drop i v1)
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(Some kx, Some ky) ->
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use Sequence slice unsafeAt
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use Search lubIndexOf'
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if kx == ky then
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go (i + 1) (j + 1)
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(ko `snoc` kx)
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(vo `snoc` f (unsafeAt i v1) (unsafeAt j v2))
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else if kx < ky then
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i' = lubIndexOf' ky i k1
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go i' j (ko ++ slice i i' k1) (vo ++ slice i i' v1)
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else
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j' = lubIndexOf' kx j k2
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go i j' (ko ++ slice j j' k2) (vo ++ slice j j' v2)
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go 0 0 [] []
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intersect : Map k v -> Map k v -> Map k v
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intersect = intersectWith (_ v -> v)
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intersectWith : (v -> v -> v2) -> Map k v -> Map k v -> Map k v2
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intersectWith f m1 m2 = case (m1, m2) of (Map k1 v1, Map k2 v2) ->
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go i j ko vo = case (at i k1, at j k2) of
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(None, _) -> Map ko vo
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(_, None) -> Map ko vo
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(Some kx, Some ky) ->
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if kx == ky then
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go (i + 1) (j + 1)
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(ko `snoc` kx)
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(vo `snoc` f (Sequence.unsafeAt i v1) (Sequence.unsafeAt j v2))
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else if kx < ky then
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i' = Search.lubIndexOf' ky i k1
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go i' j ko vo
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else
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j' = Search.lubIndexOf' kx j k2
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go i j' ko vo
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go 0 0 [] []
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keys : Map k v -> [k]
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keys m = case m of Map ks _ -> ks
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values : Map k v -> [v]
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values m = case m of Map _ vs -> vs
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namespace Multimap where
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insert : k -> v -> Map k [v] -> Map k [v]
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insert k v m = case Map.lookup k m of
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None -> Map.insert k [v] m
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Some vs -> Map.insert k (vs `snoc` v) m
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lookup : k -> Map k [v] -> [v]
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lookup k m = Optional.orDefault [] (Map.lookup k m)
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type Set a = Set (Map a ())
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use Set Set
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namespace Set where
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empty : Set k
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empty = Set Map.empty
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underlying : Set k -> Map k ()
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underlying s = case s of Set s -> s
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toMap : (k -> v) -> Set k -> Map k v
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toMap f s = case s of Set (Map ks vs) -> Map ks (Sequence.map f ks)
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fromSequence : [k] -> Set k
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fromSequence ks = Set (Map.fromSequence (Sequence.map (k -> (k,())) ks))
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toSequence : Set k -> [k]
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toSequence s = case s of Set (Map ks _) -> ks
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contains : k -> Set k -> Boolean
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contains k s = case s of Set m -> Map.contains k m
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insert : k -> Set k -> Set k
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insert k s = case s of Set s -> Set (Map.insert k () s)
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union : Set k -> Set k -> Set k
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union s1 s2 = Set (Map.union (underlying s1) (underlying s2))
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size : Set k -> Nat
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size s = Map.size (underlying s)
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intersect : Set k -> Set k -> Set k
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intersect s1 s2 = Set (Map.intersect (underlying s1) (underlying s2))
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type Heap k v = Heap Nat k v [Heap k v]
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use Heap Heap
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namespace Heap where
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singleton : k -> v -> Heap k v
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singleton k v = Heap 1 k v []
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size : Heap k v -> Nat
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size h = case h of Heap n _ _ _ -> n
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union : Heap k v -> Heap k v -> Heap k v
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union h1 h2 = case (h1, h2) of
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(Heap n k1 v1 hs1, Heap m k2 v2 hs2) ->
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if k1 >= k2 then Heap (n + m) k1 v1 (cons h2 hs1)
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else Heap (n + m) k2 v2 (cons h1 hs2)
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pop : Heap k v -> Optional (Heap k v)
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pop h =
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go h subs =
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use Sequence drop size unsafeAt
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if size subs == 0 then h
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else if size subs == 1 then h `union` unsafeAt 0 subs
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else union h (unsafeAt 0 subs) `union` go (unsafeAt 1 subs) (drop 2 subs)
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case uncons (children h) of
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None -> None
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Some (s0, subs) -> Some (go s0 subs)
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children : Heap k v -> [Heap k v]
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children h = case h of Heap _ _ _ cs -> cs
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max : Heap k v -> (k, v)
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max h = case h of Heap _ k v _ -> (k, v)
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maxKey : Heap k v -> k
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maxKey h = case h of Heap _ k _ _ -> k
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fromSequence : [(k,v)] -> Optional (Heap k v)
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fromSequence kvs =
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op a b = case a of
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None -> b
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Some a -> case b of
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None -> Some a
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Some b -> Some (union a b)
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single kv = Some (singleton (Tuple.at1 kv) (Tuple.at2 kv))
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Sequence.foldb single op None kvs
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fromKeys : [a] -> Optional (Heap a a)
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fromKeys as = fromSequence (Sequence.map (a -> (a,a)) as)
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sortDescending : [a] -> [a]
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sortDescending as =
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step o = case o of
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None -> None
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Some h -> Some (max h, pop h)
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Sequence.unfold (fromKeys as) step |> Sequence.map Tuple.at1
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sort : [a] -> [a]
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sort as = sortDescending as |> reverse
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-- > sort [11,9,8,4,5,6,7,3,2,10,1]
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Optional.map : (a -> b) -> Optional a -> Optional b
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Optional.map f o = case o of
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None -> None
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Some a -> Some (f a)
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Optional.orDefault : a -> Optional a -> a
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Optional.orDefault a o = case o of
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None -> a
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Some a -> a
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