--- /dev/null
+(******************************************************************************)
+(* SXSI : XPath evaluator *)
+(* Kim Nguyen (Kim.Nguyen@nicta.com.au) *)
+(* Copyright NICTA 2008 *)
+(* Distributed under the terms of the LGPL (see LICENCE) *)
+(******************************************************************************)
+INCLUDE "utils.ml"
+
+exception InfiniteSet
+module type S =
+sig
+ type elt
+ type t
+ type set
+ val empty : t
+ val any : t
+ val is_empty : t -> bool
+ val is_any : t -> bool
+ val is_finite : t -> bool
+ val kind : t -> [ `Finite | `Cofinite ]
+ val singleton : elt -> t
+ val mem : elt -> t -> bool
+ val add : elt -> t -> t
+ val remove : elt -> t -> t
+ val cup : t -> t -> t
+ val cap : t -> t -> t
+ val diff : t -> t -> t
+ val neg : t -> t
+ val compare : t -> t -> int
+ val subset : t -> t -> bool
+ val kind_split : t list -> t * t
+ val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a
+ val for_all : (elt -> bool) -> t -> bool
+ val exists : (elt -> bool) -> t -> bool
+ val filter : (elt -> bool) -> t -> t
+ val partition : (elt -> bool) -> t -> t * t
+ val cardinal : t -> int
+ val elements : t -> elt list
+ val from_list : elt list -> t
+ val choose : t -> elt
+ val hash : t -> int
+ val equal : t -> t -> bool
+ val uid : t -> Uid.t
+ val positive : t -> set
+ val negative : t -> set
+ val inj_positive : set -> t
+ val inj_negative : set -> t
+end
+
+module Make (E : Ptset.S) : S with type elt = E.elt and type set = E.t =
+struct
+
+ type elt = E.elt
+ type node = Finite of E.t | CoFinite of E.t
+ type set = E.t
+ module Node = Hcons.Make(struct
+ type t = node
+ let equal a b =
+ match a,b with
+ (Finite(s1),Finite(s2))
+ | (CoFinite(s1),CoFinite(s2)) -> E.equal s1 s2
+ | _ -> false
+ let hash = function
+ Finite (s) -> (E.hash s) lsl 1
+ | CoFinite(s) -> ((E.hash s) lsl 1 ) lor 1
+ end)
+ type t = Node.t
+ let empty = Node.make (Finite E.empty)
+ let any = Node.make (CoFinite E.empty)
+ let finite x = Node.make (Finite x)
+ let cofinite x = Node.make (CoFinite x)
+
+ let is_empty = function
+ { Node.node = Finite s } when E.is_empty s -> true
+ | _ -> false
+
+ let is_any = function
+ { Node.node = CoFinite s } when E.is_empty s -> true
+ | _ -> false
+
+ let is_finite t = match t.Node.node with
+ | Finite _ -> true | _ -> false
+
+ let kind t = match t.Node.node with
+ Finite _ -> `Finite
+ | _ -> `Cofinite
+
+ let mem x t = match t.Node.node with
+ | Finite s -> E.mem x s
+ | CoFinite s -> not (E.mem x s)
+
+ let singleton x = finite (E.singleton x)
+
+ let add e t = match t.Node.node with
+ | Finite s -> finite (E.add e s)
+ | CoFinite s -> cofinite (E.remove e s)
+
+ let remove e t = match t.Node.node with
+ | Finite s -> finite (E.remove e s)
+ | CoFinite s -> cofinite (E.add e s)
+
+ let cup s t = match (s.Node.node,t.Node.node) with
+ | Finite s, Finite t -> finite (E.union s t)
+ | CoFinite s, CoFinite t -> cofinite ( E.inter s t)
+ | Finite s, CoFinite t -> cofinite (E.diff t s)
+ | CoFinite s, Finite t-> cofinite (E.diff s t)
+
+ let cap s t = match (s.Node.node,t.Node.node) with
+ | Finite s, Finite t -> finite (E.inter s t)
+ | CoFinite s, CoFinite t -> cofinite (E.union s t)
+ | Finite s, CoFinite t -> finite (E.diff s t)
+ | CoFinite s, Finite t-> finite (E.diff t s)
+
+ let diff s t = match (s.Node.node,t.Node.node) with
+ | Finite s, Finite t -> finite (E.diff s t)
+ | Finite s, CoFinite t -> finite(E.inter s t)
+ | CoFinite s, Finite t -> cofinite(E.union t s)
+ | CoFinite s, CoFinite t -> finite (E.diff t s)
+
+ let neg t = match t.Node.node with
+ | Finite s -> cofinite s
+ | CoFinite s -> finite s
+
+ let compare s t = match (s.Node.node,t.Node.node) with
+ | Finite s , Finite t -> E.compare s t
+ | CoFinite s , CoFinite t -> E.compare t s
+ | Finite _, CoFinite _ -> -1
+ | CoFinite _, Finite _ -> 1
+
+ let subset s t = match (s.Node.node,t.Node.node) with
+ | Finite s , Finite t -> E.subset s t
+ | CoFinite s , CoFinite t -> E.subset t s
+ | Finite s, CoFinite t -> E.is_empty (E.inter s t)
+ | CoFinite _, Finite _ -> false
+
+ (* given a list l of type t list,
+ returns two sets (f,c) where :
+ - f is the union of all the finite sets of l
+ - c is the union of all the cofinite sets of l
+ - f and c are disjoint
+ Invariant : cup f c = List.fold_left cup empty l
+
+ We treat the CoFinite part explicitely :
+ *)
+
+ let kind_split l =
+
+ let rec next_finite_cofinite facc cacc = function
+ | [] -> finite facc, cofinite (E.diff cacc facc)
+ | { Node.node = Finite s } ::r -> next_finite_cofinite (E.union s facc) cacc r
+ | { Node.node = CoFinite _ } ::r when E.is_empty cacc -> next_finite_cofinite facc cacc r
+ | { Node.node = CoFinite s } ::r -> next_finite_cofinite facc (E.inter cacc s) r
+ in
+ let rec first_cofinite facc = function
+ | [] -> empty,empty
+ | { Node.node = Finite s } :: r-> first_cofinite (E.union s facc) r
+ | { Node.node = CoFinite s } :: r -> next_finite_cofinite facc s r
+ in
+ first_cofinite E.empty l
+
+ let fold f t a = match t.Node.node with
+ | Finite s -> E.fold f s a
+ | CoFinite _ -> raise InfiniteSet
+
+ let for_all f t = match t.Node.node with
+ | Finite s -> E.for_all f s
+ | CoFinite _ -> raise InfiniteSet
+
+ let exists f t = match t.Node.node with
+ | Finite s -> E.exists f s
+ | CoFinite _ -> raise InfiniteSet
+
+ let filter f t = match t.Node.node with
+ | Finite s -> finite (E.filter f s)
+ | CoFinite _ -> raise InfiniteSet
+
+ let partition f t = match t.Node.node with
+ | Finite s -> let a,b = E.partition f s in finite a,finite b
+ | CoFinite _ -> raise InfiniteSet
+
+ let cardinal t = match t.Node.node with
+ | Finite s -> E.cardinal s
+ | CoFinite _ -> raise InfiniteSet
+
+ let elements t = match t.Node.node with
+ | Finite s -> E.elements s
+ | CoFinite _ -> raise InfiniteSet
+
+ let from_list l =
+ finite (List.fold_left (fun x a -> E.add a x ) E.empty l)
+
+ let choose t = match t.Node.node with
+ Finite s -> E.choose s
+ | _ -> raise InfiniteSet
+
+ let equal = (==)
+
+ let hash t = t.Node.key
+
+ let uid t = t.Node.id
+
+
+ let positive t =
+ match t.Node.node with
+ | Finite x -> x
+ | _ -> E.empty
+
+ let negative t =
+ match t.Node.node with
+ | CoFinite x -> x
+ | _ -> E.empty
+
+ let inj_positive t = finite t
+ let inj_negative t = cofinite t
+end
+