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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 *)
-(************************************************************************)
-
-(** An imperative implementation of partitions via Union-Find *)
-
-(** Paths are compressed imperatively at each lookup of a
- canonical representative. Each union also modifies in-place
- the partition structure.
-
- Nota: for the moment we use Pervasive's comparison for
- choosing the smallest object as representative. This could
- be made more generic.
-*)
-
-module type PartitionSig = sig
-
- (** The type of elements in the partition *)
- type elt
-
- (** A set structure over elements *)
- type set
-
- (** The type of partitions *)
- type t
-
- (** Initialise an empty partition *)
- val create : unit -> t
-
- (** Add (in place) an element in the partition, or do nothing
- if the element is already in the partition. *)
- val add : elt -> t -> unit
-
- (** Find the canonical representative of an element.
- Raise [not_found] if the element isn't known yet. *)
- val find : elt -> t -> elt
-
- (** Merge (in place) the equivalence classes of two elements.
- This will add the elements in the partition if necessary. *)
- val union : elt -> elt -> t -> unit
-
- (** Merge (in place) the equivalence classes of many elements. *)
- val union_set : set -> t -> unit
-
- (** Listing the different components of the partition *)
- val partition : t -> set list
-
-end
-
-module type SetS =
-sig
- type t
- type elt
- val singleton : elt -> t
- val union : t -> t -> t
- val choose : t -> elt
- val iter : (elt -> unit) -> t -> unit
-end
-(** Minimal interface for sets, subtype of stdlib's Set. *)
-
-module type MapS =
-sig
- type key
- type +'a t
- val empty : 'a t
- val find : key -> 'a t -> 'a
- val add : key -> 'a -> 'a t -> 'a t
- val mem : key -> 'a t -> bool
- val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
-end
-(** Minimal interface for maps, subtype of stdlib's Map. *)
-
-module Make :
- functor (S:SetS) ->
- functor (M:MapS with type key = S.elt) ->
- PartitionSig with type elt = S.elt and type set = S.t