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-(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *)
-(* \VV/ **************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(************************************************************************)
-
-type t = int
-
-external equal : int -> int -> bool = "%eq"
-
-external compare : int -> int -> int = "caml_int_compare"
-
-let hash i = i land 0x3FFFFFFF
-
-module Self =
-struct
- type t = int
- let compare = compare
-end
-
-module Set = Set.Make(Self)
-module Map =
-struct
- include CMap.Make(Self)
-
- type 'a map = 'a CMap.Make(Self).t
-
- type 'a _map =
- | MEmpty
- | MNode of 'a map * int * 'a * 'a map * int
-
- let map_prj : 'a map -> 'a _map = Obj.magic
-
- let rec find i s = match map_prj s with
- | MEmpty -> raise Not_found
- | MNode (l, k, v, r, h) ->
- if i < k then find i l
- else if i = k then v
- else find i r
-end
-
-module List = struct
- let mem = List.memq
- let assoc = List.assq
- let mem_assoc = List.mem_assq
- let remove_assoc = List.remove_assq
-end
-
-let min (i : int) j = if i < j then i else j
-
-(** Utility function *)
-let rec next from upto =
- if from < upto then next (2 * from + 1) upto
- else from
-
-
-module PArray =
-struct
-
- type 'a t = 'a data ref
- and 'a data =
- | Root of 'a option array
- | DSet of int * 'a option * 'a t
-
- let empty n = ref (Root (Array.make n None))
-
- let rec rerootk t k = match !t with
- | Root _ -> k ()
- | DSet (i, v, t') ->
- let next () = match !t' with
- | Root a as n ->
- let v' = Array.unsafe_get a i in
- let () = Array.unsafe_set a i v in
- let () = t := n in
- let () = t' := DSet (i, v', t) in
- k ()
- | DSet _ -> assert false
- in
- rerootk t' next
-
- let reroot t = rerootk t (fun () -> ())
-
- let get t i =
- let () = assert (0 <= i) in
- match !t with
- | Root a ->
- if Array.length a <= i then None
- else Array.unsafe_get a i
- | DSet _ ->
- let () = reroot t in
- match !t with
- | Root a ->
- if Array.length a <= i then None
- else Array.unsafe_get a i
- | DSet _ -> assert false
-
- let set t i v =
- let () = assert (0 <= i) in
- let () = reroot t in
- match !t with
- | DSet _ -> assert false
- | Root a as n ->
- let len = Array.length a in
- if i < len then
- let old = Array.unsafe_get a i in
- if old == v then t
- else
- let () = Array.unsafe_set a i v in
- let res = ref n in
- let () = t := DSet (i, old, res) in
- res
- else match v with
- | None -> t (** Nothing to do! *)
- | Some _ -> (** we must resize *)
- let nlen = next len (succ i) in
- let nlen = min nlen Sys.max_array_length in
- let () = assert (i < nlen) in
- let a' = Array.make nlen None in
- let () = Array.blit a 0 a' 0 len in
- let () = Array.unsafe_set a' i v in
- let res = ref (Root a') in
- let () = t := DSet (i, None, res) in
- res
-
-end
-
-module PMap =
-struct
-
- type key = int
-
- (** Invariants:
-
- 1. an empty map is always [Empty].
- 2. the set of the [Map] constructor remembers the present keys.
- *)
- type 'a t = Empty | Map of Set.t * 'a PArray.t
-
- let empty = Empty
-
- let is_empty = function
- | Empty -> true
- | Map _ -> false
-
- let singleton k x =
- let len = next 19 (k + 1) in
- let len = min Sys.max_array_length len in
- let v = PArray.empty len in
- let v = PArray.set v k (Some x) in
- let s = Set.singleton k in
- Map (s, v)
-
- let add k x = function
- | Empty -> singleton k x
- | Map (s, v) ->
- let s = match PArray.get v k with
- | None -> Set.add k s
- | Some _ -> s
- in
- let v = PArray.set v k (Some x) in
- Map (s, v)
-
- let remove k = function
- | Empty -> Empty
- | Map (s, v) ->
- let s = Set.remove k s in
- if Set.is_empty s then Empty
- else
- let v = PArray.set v k None in
- Map (s, v)
-
- let mem k = function
- | Empty -> false
- | Map (_, v) ->
- match PArray.get v k with
- | None -> false
- | Some _ -> true
-
- let find k = function
- | Empty -> raise Not_found
- | Map (_, v) ->
- match PArray.get v k with
- | None -> raise Not_found
- | Some x -> x
-
- let iter f = function
- | Empty -> ()
- | Map (s, v) ->
- let iter k = match PArray.get v k with
- | None -> ()
- | Some x -> f k x
- in
- Set.iter iter s
-
- let fold f m accu = match m with
- | Empty -> accu
- | Map (s, v) ->
- let fold k accu = match PArray.get v k with
- | None -> accu
- | Some x -> f k x accu
- in
- Set.fold fold s accu
-
- let exists f m = match m with
- | Empty -> false
- | Map (s, v) ->
- let exists k = match PArray.get v k with
- | None -> false
- | Some x -> f k x
- in
- Set.exists exists s
-
- let for_all f m = match m with
- | Empty -> true
- | Map (s, v) ->
- let for_all k = match PArray.get v k with
- | None -> true
- | Some x -> f k x
- in
- Set.for_all for_all s
-
- let cast = function
- | Empty -> Map.empty
- | Map (s, v) ->
- let bind k = match PArray.get v k with
- | None -> assert false
- | Some x -> x
- in
- Map.bind bind s
-
- let domain = function
- | Empty -> Set.empty
- | Map (s, _) -> s
-
-end