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Diffstat (limited to 'lib/fmap.ml')
-rw-r--r-- | lib/fmap.ml | 133 |
1 files changed, 133 insertions, 0 deletions
diff --git a/lib/fmap.ml b/lib/fmap.ml new file mode 100644 index 00000000..8ca56fe7 --- /dev/null +++ b/lib/fmap.ml @@ -0,0 +1,133 @@ + +module Make = functor (X:Map.OrderedType) -> struct + type key = X.t + type 'a t = + Empty + | Node of 'a t * key * 'a * 'a t * int + + let empty = Empty + + let is_empty = function Empty -> true | _ -> false + + let height = function + Empty -> 0 + | Node(_,_,_,_,h) -> h + + let create l x d r = + let hl = height l and hr = height r in + Node(l, x, d, r, (if hl >= hr then hl + 1 else hr + 1)) + + let bal l x d r = + let hl = match l with Empty -> 0 | Node(_,_,_,_,h) -> h in + let hr = match r with Empty -> 0 | Node(_,_,_,_,h) -> h in + if hl > hr + 2 then begin + match l with + Empty -> invalid_arg "Map.bal" + | Node(ll, lv, ld, lr, _) -> + if height ll >= height lr then + create ll lv ld (create lr x d r) + else begin + match lr with + Empty -> invalid_arg "Map.bal" + | Node(lrl, lrv, lrd, lrr, _)-> + create (create ll lv ld lrl) lrv lrd (create lrr x d r) + end + end else if hr > hl + 2 then begin + match r with + Empty -> invalid_arg "Map.bal" + | Node(rl, rv, rd, rr, _) -> + if height rr >= height rl then + create (create l x d rl) rv rd rr + else begin + match rl with + Empty -> invalid_arg "Map.bal" + | Node(rll, rlv, rld, rlr, _) -> + create (create l x d rll) rlv rld (create rlr rv rd rr) + end + end else + Node(l, x, d, r, (if hl >= hr then hl + 1 else hr + 1)) + + let rec add x data = function + Empty -> + Node(Empty, x, data, Empty, 1) + | Node(l, v, d, r, h) -> + let c = X.compare x v in + if c = 0 then + Node(l, x, data, r, h) + else if c < 0 then + bal (add x data l) v d r + else + bal l v d (add x data r) + + let rec find x = function + Empty -> + raise Not_found + | Node(l, v, d, r, _) -> + let c = X.compare x v in + if c = 0 then d + else find x (if c < 0 then l else r) + + let rec mem x = function + Empty -> + false + | Node(l, v, d, r, _) -> + let c = X.compare x v in + c = 0 || mem x (if c < 0 then l else r) + + let rec min_binding = function + Empty -> raise Not_found + | Node(Empty, x, d, r, _) -> (x, d) + | Node(l, x, d, r, _) -> min_binding l + + let rec remove_min_binding = function + Empty -> invalid_arg "Map.remove_min_elt" + | Node(Empty, x, d, r, _) -> r + | Node(l, x, d, r, _) -> bal (remove_min_binding l) x d r + + let merge t1 t2 = + match (t1, t2) with + (Empty, t) -> t + | (t, Empty) -> t + | (_, _) -> + let (x, d) = min_binding t2 in + bal t1 x d (remove_min_binding t2) + + let rec remove x = function + Empty -> + Empty + | Node(l, v, d, r, h) -> + let c = X.compare x v in + if c = 0 then + merge l r + else if c < 0 then + bal (remove x l) v d r + else + bal l v d (remove x r) + + let rec iter f = function + Empty -> () + | Node(l, v, d, r, _) -> + iter f l; f v d; iter f r + + let rec map f = function + Empty -> Empty + | Node(l, v, d, r, h) -> Node(map f l, v, f d, map f r, h) + + (* Maintien de fold_right par compatibilité (changé en fold_left dans + ocaml-3.09.0) *) + + let rec fold f m accu = + match m with + Empty -> accu + | Node(l, v, d, r, _) -> + fold f l (f v d (fold f r accu)) + +(* Added with respect to ocaml standard library. *) + + let dom m = fold (fun x _ acc -> x::acc) m [] + + let rng m = fold (fun _ y acc -> y::acc) m [] + + let to_list m = fold (fun x y acc -> (x,y)::acc) m [] + +end |