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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. *)
+(* *)
+(************************************************************************)
+
+module type OrderedType =
+ sig
+ type t
+ val compare: t -> t -> int
+ end
+
+module type S =
+ sig
+ type elt
+ type t
+ val empty: t
+ val full: t
+ val is_empty: t -> bool
+ val is_full: t -> bool
+ val mem: elt -> t -> bool
+ val singleton: elt -> t
+ val add: elt -> t -> t
+ val remove: elt -> t -> t
+ val union: t -> t -> t
+ val inter: t -> t -> t
+ val diff: t -> t -> t
+ val complement: t -> t
+ val equal: t -> t -> bool
+ val subset: t -> t -> bool
+ val elements: t -> bool * elt list
+ end
+
+module Make(Ord: OrderedType) =
+ struct
+ module EltSet = Set.Make(Ord)
+
+ type elt = Ord.t
+
+ (* (false, s) represents a set which is equal to the set s
+ (true, s) represents a set which is equal to the complement of set s *)
+ type t = bool * EltSet.t
+
+ let elements (b,s) = (b, EltSet.elements s)
+
+ let empty = (false,EltSet.empty)
+ let full = (true,EltSet.empty)
+
+ (* assumes the set is infinite *)
+ let is_empty (b,s) = not b && EltSet.is_empty s
+ let is_full (b,s) = b && EltSet.is_empty s
+
+ let mem x (b,s) =
+ if b then not (EltSet.mem x s) else EltSet.mem x s
+
+ let singleton x = (false,EltSet.singleton x)
+
+ let add x (b,s) =
+ if b then (b,EltSet.remove x s)
+ else (b,EltSet.add x s)
+
+ let remove x (b,s) =
+ if b then (b,EltSet.add x s)
+ else (b,EltSet.remove x s)
+
+ let complement (b,s) = (not b, s)
+
+ let union s1 s2 =
+ match (s1,s2) with
+ ((false,p1),(false,p2)) -> (false,EltSet.union p1 p2)
+ | ((true,n1),(true,n2)) -> (true,EltSet.inter n1 n2)
+ | ((false,p1),(true,n2)) -> (true,EltSet.diff n2 p1)
+ | ((true,n1),(false,p2)) -> (true,EltSet.diff n1 p2)
+
+ let inter s1 s2 =
+ complement (union (complement s1) (complement s2))
+
+ let diff s1 s2 = inter s1 (complement s2)
+
+ (* assumes the set is infinite *)
+ let subset s1 s2 =
+ match (s1,s2) with
+ ((false,p1),(false,p2)) -> EltSet.subset p1 p2
+ | ((true,n1),(true,n2)) -> EltSet.subset n2 n1
+ | ((false,p1),(true,n2)) -> EltSet.is_empty (EltSet.inter p1 n2)
+ | ((true,_),(false,_)) -> false
+
+ (* assumes the set is infinite *)
+ let equal (b1,s1) (b2,s2) =
+ b1=b2 && EltSet.equal s1 s2
+
+ end