roc/examples/benchmarks/RBTreeCk.roc
2022-06-16 15:21:55 -04:00

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app "rbtree-ck"
packages { pf: "platform/main.roc" }
imports [pf.Task]
provides [main] to pf
Color : [Red, Black]
Tree a b : [Leaf, Node Color (Tree a b) a b (Tree a b)]
Map : Tree I64 Bool
ConsList a : [Nil, Cons a (ConsList a)]
makeMap : I64, I64 -> ConsList Map
makeMap = \freq, n ->
makeMapHelp freq n Leaf Nil
makeMapHelp : I64, I64, Map, ConsList Map -> ConsList Map
makeMapHelp = \freq, n, m, acc ->
when n is
0 ->
Cons m acc
_ ->
powerOf10 =
n % 10 == 0
m1 = insert m n powerOf10
isFrequency =
n % freq == 0
x = (if isFrequency then Cons m1 acc else acc)
makeMapHelp freq (n - 1) m1 x
fold : (a, b, omega -> omega), Tree a b, omega -> omega
fold = \f, tree, b ->
when tree is
Leaf ->
b
Node _ l k v r ->
fold f r (f k v (fold f l b))
main : Task.Task {} []
main =
Task.after
Task.getInt
\n ->
# original koka n = 4_200_000
ms : ConsList Map
ms = makeMap 5 n
when ms is
Cons head _ ->
val = fold (\_, v, r -> if v then r + 1 else r) head 0
val
|> Num.toStr
|> Task.putLine
Nil ->
Task.putLine "fail"
insert : Tree (Num k) v, Num k, v -> Tree (Num k) v
insert = \t, k, v -> if isRed t then setBlack (ins t k v) else ins t k v
setBlack : Tree a b -> Tree a b
setBlack = \tree ->
when tree is
Node _ l k v r ->
Node Black l k v r
_ ->
tree
isRed : Tree a b -> Bool
isRed = \tree ->
when tree is
Node Red _ _ _ _ ->
True
_ ->
False
lt = \x, y -> x < y
ins : Tree (Num k) v, Num k, v -> Tree (Num k) v
ins = \tree, kx, vx ->
when tree is
Leaf ->
Node Red Leaf kx vx Leaf
Node Red a ky vy b ->
if lt kx ky then
Node Red (ins a kx vx) ky vy b
else if lt ky kx then
Node Red a ky vy (ins b kx vx)
else
Node Red a ky vy (ins b kx vx)
Node Black a ky vy b ->
if lt kx ky then
(if isRed a then balance1 (Node Black Leaf ky vy b) (ins a kx vx) else Node Black (ins a kx vx) ky vy b)
else if lt ky kx then
(if isRed b then balance2 (Node Black a ky vy Leaf) (ins b kx vx) else Node Black a ky vy (ins b kx vx))
else
Node Black a kx vx b
balance1 : Tree a b, Tree a b -> Tree a b
balance1 = \tree1, tree2 ->
when tree1 is
Leaf ->
Leaf
Node _ _ kv vv t ->
when tree2 is
Node _ (Node Red l kx vx r1) ky vy r2 ->
Node Red (Node Black l kx vx r1) ky vy (Node Black r2 kv vv t)
Node _ l1 ky vy (Node Red l2 kx vx r) ->
Node Red (Node Black l1 ky vy l2) kx vx (Node Black r kv vv t)
Node _ l ky vy r ->
Node Black (Node Red l ky vy r) kv vv t
Leaf ->
Leaf
balance2 : Tree a b, Tree a b -> Tree a b
balance2 = \tree1, tree2 ->
when tree1 is
Leaf ->
Leaf
Node _ t kv vv _ ->
when tree2 is
Node _ (Node Red l kx1 vx1 r1) ky vy r2 ->
Node Red (Node Black t kv vv l) kx1 vx1 (Node Black r1 ky vy r2)
Node _ l1 ky vy (Node Red l2 kx2 vx2 r2) ->
Node Red (Node Black t kv vv l1) ky vy (Node Black l2 kx2 vx2 r2)
Node _ l ky vy r ->
Node Black t kv vv (Node Red l ky vy r)
Leaf ->
Leaf