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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. *)
-(* *)
-(***********************************************************************)
-
-(* Modified by Susmit Sarkar 2010-11-30 *)
-(* $Id: map.ml 10468 2010-05-25 13:29:43Z frisch $ *)
-
-(* A map from ordered keys *)
-
-type ('key,'a) rep =
- Empty
- | Node of ('key,'a) rep * 'key * 'a * ('key,'a) rep * 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 singleton x d = Node(Empty, x, d, Empty, 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 cmp x data = function
- Empty ->
- Node(Empty, x, data, Empty, 1)
- | Node(l, v, d, r, h) ->
- let c = cmp x v in
- if c = 0 then
- Node(l, x, data, r, h)
- else if c < 0 then
- bal (add cmp x data l) v d r
- else
- bal l v d (add cmp x data r)
-
-let rec find cmp x = function
- Empty ->
- raise Not_found
- | Node(l, v, d, r, _) ->
- let c = cmp x v in
- if c = 0 then d
- else find cmp x (if c < 0 then l else r)
-
-let rec mem cmp x = function
- Empty ->
- false
- | Node(l, v, d, r, _) ->
- let c = cmp x v in
- c = 0 || mem cmp 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 max_binding = function
- Empty -> raise Not_found
- | Node(l, x, d, Empty, _) -> (x, d)
- | Node(l, x, d, r, _) -> max_binding r
-
-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 cmp x = function
- Empty ->
- Empty
- | Node(l, v, d, r, h) ->
- let c = cmp x v in
- if c = 0 then
- merge l r
- else if c < 0 then
- bal (remove cmp x l) v d r
- else
- bal l v d (remove cmp 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) ->
- let l' = map f l in
- let d' = f d in
- let r' = map f r in
- Node(l', v, d', r', h)
-
-let rec mapi f = function
- Empty ->
- Empty
- | Node(l, v, d, r, h) ->
- let l' = mapi f l in
- let d' = f v d in
- let r' = mapi f r in
- Node(l', v, d', r', h)
-
-let rec fold f m accu =
- match m with
- Empty -> accu
- | Node(l, v, d, r, _) ->
- fold f r (f v d (fold f l accu))
-
-let rec for_all p = function
- Empty -> true
- | Node(l, v, d, r, _) -> p v d && for_all p l && for_all p r
-
-let rec exists p = function
- Empty -> false
- | Node(l, v, d, r, _) -> p v d || exists p l || exists p r
-
-let filter cmp p s =
- let rec filt accu = function
- | Empty -> accu
- | Node(l, v, d, r, _) ->
- filt (filt (if p v d then add cmp v d accu else accu) l) r in
- filt Empty s
-
-let partition cmp 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 cmp v d t, f) else (t, add cmp v d f)) l) r in
- part (Empty, Empty) s
-
- (* Same as create and bal, but no assumptions are made on the
- relative heights of l and r. *)
-
-let rec join cmp l v d r =
- match (l, r) with
- (Empty, _) -> add cmp v d r
- | (_, Empty) -> add cmp 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 cmp lr v d r) else
- if rh > lh + 2 then bal (join cmp l v d rl) rv rd rr else
- create l v d r
-
- (* Merge two trees l and r into one.
- All elements of l must precede the elements of r.
- No assumption on the heights of l and r. *)
-
-let concat cmp t1 t2 =
- match (t1, t2) with
- (Empty, t) -> t
- | (t, Empty) -> t
- | (_, _) ->
- let (x, d) = min_binding t2 in
- join cmp t1 x d (remove_min_binding t2)
-
-let concat_or_join cmp t1 v d t2 =
- match d with
- | Some d -> join cmp t1 v d t2
- | None -> concat cmp t1 t2
-
-let rec split cmp x = function
- Empty ->
- (Empty, None, Empty)
- | Node(l, v, d, r, _) ->
- let c = cmp x v in
- if c = 0 then (l, Some d, r)
- else if c < 0 then
- let (ll, pres, rl) = split cmp x l in (ll, pres, join cmp rl v d r)
- else
- let (lr, pres, rr) = split cmp x r in (join cmp l v d lr, pres, rr)
-
-let rec merge cmp f s1 s2 =
- match (s1, s2) with
- (Empty, Empty) -> Empty
- | (Node (l1, v1, d1, r1, h1), _) when h1 >= height s2 ->
- let (l2, d2, r2) = split cmp v1 s2 in
- concat_or_join cmp (merge cmp f l1 l2) v1 (f v1 (Some d1) d2) (merge cmp f r1 r2)
- | (_, Node (l2, v2, d2, r2, h2)) ->
- let (l1, d1, r1) = split cmp v2 s1 in
- concat_or_join cmp (merge cmp f l1 l2) v2 (f v2 d1 (Some d2)) (merge cmp f r1 r2)
- | _ ->
- assert false
-
-type ('key,'a) enumeration = End | More of 'key * 'a * ('key,'a) rep * ('key,'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_key cmp_a 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)) ->
- let c = cmp_key v1 v2 in
- if c <> 0 then c else
- let c = cmp_a 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_key cmp_a 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)) ->
- cmp_key v1 v2 = 0 && cmp_a d1 d2 &&
- equal_aux (cons_enum r1 e1) (cons_enum r2 e2)
- in equal_aux (cons_enum m1 End) (cons_enum m2 End)
-
-let rec cardinal = function
- Empty -> 0
- | Node(l, _, _, r, _) -> cardinal l + 1 + cardinal r
-
-let rec bindings_aux accu = function
- Empty -> accu
- | Node(l, v, d, r, _) -> bindings_aux ((v, d) :: bindings_aux accu r) l
-
-let bindings s =
- bindings_aux [] s
-
-let choose = min_binding
-
-
-(* Wrapper functions now *)
-
-type ('key,'a) map = {cmp:'key -> 'key -> int; m:('key,'a) rep}
-
-let empty cmp = {cmp = cmp; m = Empty}
-let is_empty m = is_empty m.m
-let mem k m = mem m.cmp k m.m
-let add k a m = {m with m = add m.cmp k a m.m}
-let singleton cmp k a = {cmp = cmp; m = singleton k a}
-let remove k m = {m with m = remove m.cmp k m.m}
-let merge f a b = {cmp = a.cmp; (* does not matter, a and b should have the same comparison function *)
- m = merge a.cmp f a.m b.m;}
-let union a b = merge (fun k o1 o2 ->
- match (o1, o2) with
- | (_, Some v) -> Some v
- | (Some v, _) -> Some v
- | (_, _) -> None) a b
- let compare f a b = compare a.cmp f a.m b.m
-let equal f a b = equal a.cmp f a.m b.m
-let iter f m = iter f m.m
-let fold f m b = fold f m.m b
-let for_all f m = for_all f m.m
-let exist f m = exists f m.m
-let filter f m = {m with m = filter m.cmp f m.m}
-let partition f m =
- let m1,m2 = partition m.cmp f m.m in
- ({m with m = m1},{m with m = m2})
-let cardinal m = cardinal m.m
-let domain m = Pset.from_list m.cmp (List.map fst (bindings m.m))
-let range cmp m = Pset.from_list cmp (List.map snd (bindings m.m))
-let bindings_list m = bindings m.m
-let bindings cmp m = Pset.from_list cmp (bindings m.m)
-let min_binding m = min_binding m.m
-let max_binding m = max_binding m.m
-let choose m = choose m.m
-let split k m =
- let (m1,opt,m2) = split m.cmp k m.m in
- ({m with m = m1},opt,{m with m = m2})
-let find k m = find m.cmp k m.m
-let lookup k m = try Some (find k m) with Not_found -> None
-let map f m = {m with m = map f m.m}
-let mapi f m = {m with m = mapi f m.m}
-
-let from_set f s = Pset.fold (fun k m -> (add k (f k) m)) s (empty (Pset.get_elem_compare s))