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-rw-r--r--stdlib/map.ml48
1 files changed, 33 insertions, 15 deletions
diff --git a/stdlib/map.ml b/stdlib/map.ml
index 8f658b2126..519ef824e7 100644
--- a/stdlib/map.ml
+++ b/stdlib/map.ml
@@ -200,27 +200,31 @@ module Make(Ord: OrderedType) = struct
Empty -> false
| Node(l, v, d, r, _) -> p v d || exists p l || exists p r
- let filter p s =
- let rec filt accu = function
- | Empty -> accu
- | Node(l, v, d, r, _) ->
- filt (filt (if p v d then add v d accu else accu) l) r in
- filt Empty s
-
- let partition p s =
- let rec part (t, f as accu) = function
- | Empty -> accu
- | Node(l, v, d, r, _) ->
- part (part (if p v d then (add v d t, f) else (t, add v d f)) l) r in
- part (Empty, Empty) s
+ (* Beware: those two functions assume that the added k is *strictly*
+ smaller (or bigger) than all the present keys in the tree; it
+ does not test for equality with the current min (or max) key.
+
+ Indeed, they are only used during the "join" operation which
+ respects this precondition.
+ *)
+
+ let rec add_min_binding k v = function
+ | Empty -> singleton k v
+ | Node (l, x, d, r, h) ->
+ bal (add_min_binding k v l) x d r
+
+ let rec add_max_binding k v = function
+ | Empty -> singleton k v
+ | Node (l, x, d, r, h) ->
+ bal l x d (add_max_binding k v r)
(* Same as create and bal, but no assumptions are made on the
relative heights of l and r. *)
let rec join l v d r =
match (l, r) with
- (Empty, _) -> add v d r
- | (_, Empty) -> add v d l
+ (Empty, _) -> add_min_binding v d r
+ | (_, Empty) -> add_max_binding v d l
| (Node(ll, lv, ld, lr, lh), Node(rl, rv, rd, rr, rh)) ->
if lh > rh + 2 then bal ll lv ld (join lr v d r) else
if rh > lh + 2 then bal (join l v d rl) rv rd rr else
@@ -266,6 +270,20 @@ module Make(Ord: OrderedType) = struct
| _ ->
assert false
+ let rec filter p = function
+ Empty -> Empty
+ | Node(l, v, d, r, _) ->
+ let l' = filter p l and r' = filter p r in
+ if p v d then join l' v d r' else concat l' r'
+
+ let rec partition p = function
+ Empty -> (Empty, Empty)
+ | Node(l, v, d, r, _) ->
+ let (lt, lf) = partition p l and (rt, rf) = partition p r in
+ if p v d
+ then (join lt v d rt, concat lf rf)
+ else (concat lt rt, join lf v d rf)
+
type 'a enumeration = End | More of key * 'a * 'a t * 'a enumeration
let rec cons_enum m e =