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(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012     *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

module type S =
sig
  type label
  type data
  type t
  val empty : t
  val get : t -> data list
  val next : t -> label -> t
  val labels : t -> label list
  val add : label list -> data -> t -> t
  val remove : label list -> data -> t -> t
  val iter : (label list -> data -> unit) -> t -> unit
end

module Make (Y : Map.OrderedType) (X : Set.OrderedType) =
struct

module T_dom = Fset.Make(X)
module T_codom = Fmap.Make(Y)

type data = X.t
type label = Y.t
type t = Node of T_dom.t * t T_codom.t

let codom_to_list m = T_codom.fold (fun x y l -> (x,y)::l) m []

let codom_rng m = T_codom.fold (fun _ y acc -> y::acc) m []

let codom_dom m = T_codom.fold (fun x _ acc -> x::acc) m []

let empty = Node (T_dom.empty, T_codom.empty)

let next (Node (_,m)) lbl = T_codom.find lbl m

let get (Node (hereset,_)) = T_dom.elements hereset

let labels (Node (_,m)) = codom_dom m

let in_dom (Node (_,m)) lbl = T_codom.mem lbl m

let is_empty_node (Node(a,b)) = (T_dom.elements a = []) && (codom_to_list b = [])

let assure_arc m lbl =
  if T_codom.mem lbl m then
    m
  else
    T_codom.add lbl (Node (T_dom.empty,T_codom.empty)) m

let cleanse_arcs (Node (hereset,m)) =
  let l = codom_rng m in
  Node(hereset, if List.for_all is_empty_node l then T_codom.empty else m)

let rec at_path f (Node (hereset,m)) = function
  | [] ->
      cleanse_arcs (Node(f hereset,m))
  | h::t ->
      let m = assure_arc m h in
      cleanse_arcs (Node(hereset,
                         T_codom.add h (at_path f (T_codom.find h m) t) m))

let add path v tm =
  at_path (fun hereset -> T_dom.add v hereset) tm path

let remove path v tm =
  at_path (fun hereset -> T_dom.remove v hereset) tm path

let iter f tlm =
  let rec apprec pfx (Node(hereset,m)) =
    let path = List.rev pfx in
    T_dom.iter (fun v -> f path v) hereset;
    T_codom.iter (fun l tm -> apprec (l::pfx) tm) m
  in
  apprec [] tlm

let to_list tlm =
  let rec torec pfx (Node(hereset,m)) =
    let path = List.rev pfx in
    List.flatten((List.map (fun v -> (path,v)) (T_dom.elements hereset))::
		 (List.map (fun (l,tm) -> torec (l::pfx) tm) (codom_to_list m)))
  in
  torec [] tlm

end