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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