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-(***********************************************************************)
-(* *)
-(* Objective Caml *)
-(* *)
-(* Xavier Leroy, projet Cristal, INRIA Rocquencourt *)
-(* *)
-(* Copyright 1996 Institut National de Recherche en Informatique et *)
-(* en Automatique. All rights reserved. This file is distributed *)
-(* under the terms of the GNU Library General Public License, with *)
-(* the special exception on linking described in file ../LICENSE. *)
-(* *)
-(***********************************************************************)
-
-(* $Id: intmap.ml,v 1.2 2005-10-04 21:30:25 necula Exp $ *)
-
-(* specialized to integer keys by George Necula *)
-
-type 'a t =
- Empty
- | Node of 'a t * int * 'a * 'a t * int
-
-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 empty = Empty
-
-let is_empty = function Empty -> true | _ -> false
-
-let rec add x data = function
- Empty ->
- Node(Empty, x, data, Empty, 1)
- | Node(l, v, d, r, h) as t ->
- if x = v then
- Node(l, x, data, r, h)
- else if x < v 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, _) ->
- if x = v then d
- else find x (if x < v then l else r)
-
-let rec mem x = function
- Empty ->
- false
- | Node(l, v, d, r, _) ->
- x = v || mem x (if x < v 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) as t ->
- if x = v then
- merge l r
- else if x < v 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)
-
-let rec mapi f = function
- Empty -> Empty
- | Node(l, v, d, r, h) -> Node(mapi f l, v, f v d, mapi f r, h)
-
-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))
-
-type 'a enumeration = End | More of int * 'a * 'a t * 'a enumeration
-
-let rec cons_enum m e =
- match m with
- Empty -> e
- | Node(l, v, d, r, _) -> cons_enum l (More(v, d, r, e))
-
-let compare cmp m1 m2 =
- let rec compare_aux e1 e2 =
- match (e1, e2) with
- (End, End) -> 0
- | (End, _) -> -1
- | (_, End) -> 1
- | (More(v1, d1, r1, e1), More(v2, d2, r2, e2)) ->
- if v1 <> v2 then if v1 < v2 then -1 else 1 else
- let c = cmp d1 d2 in
- if c <> 0 then c else
- compare_aux (cons_enum r1 e1) (cons_enum r2 e2)
-in compare_aux (cons_enum m1 End) (cons_enum m2 End)
-
-let equal cmp m1 m2 =
- let rec equal_aux e1 e2 =
- match (e1, e2) with
- (End, End) -> true
- | (End, _) -> false
- | (_, End) -> false
- | (More(v1, d1, r1, e1), More(v2, d2, r2, e2)) ->
- v1 = v2 && cmp d1 d2 &&
- equal_aux (cons_enum r1 e1) (cons_enum r2 e2)
-in equal_aux (cons_enum m1 End) (cons_enum m2 End)
-
-(** Some definitions for ML2Coq *)
-let _ = ignore "coq:
-(* Some definitions for ML2Coq *)
-
-"