39348
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(* ========================================================================= *)
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(* FINITE SETS IMPLEMENTED WITH RANDOMLY BALANCED TREES *)
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39502
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(* Copyright (c) 2004 Joe Hurd, distributed under the BSD License *)
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39348
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(* ========================================================================= *)
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signature Set =
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sig
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(* ------------------------------------------------------------------------- *)
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(* A type of finite sets. *)
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(* ------------------------------------------------------------------------- *)
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type 'elt set
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(* ------------------------------------------------------------------------- *)
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(* Constructors. *)
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(* ------------------------------------------------------------------------- *)
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val empty : ('elt * 'elt -> order) -> 'elt set
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val singleton : ('elt * 'elt -> order) -> 'elt -> 'elt set
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(* ------------------------------------------------------------------------- *)
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(* Set size. *)
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(* ------------------------------------------------------------------------- *)
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val null : 'elt set -> bool
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val size : 'elt set -> int
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(* ------------------------------------------------------------------------- *)
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(* Querying. *)
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(* ------------------------------------------------------------------------- *)
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val peek : 'elt set -> 'elt -> 'elt option
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val member : 'elt -> 'elt set -> bool
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val pick : 'elt set -> 'elt (* an arbitrary element *)
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val nth : 'elt set -> int -> 'elt (* in the range [0,size-1] *)
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val random : 'elt set -> 'elt
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(* ------------------------------------------------------------------------- *)
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(* Adding. *)
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(* ------------------------------------------------------------------------- *)
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val add : 'elt set -> 'elt -> 'elt set
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val addList : 'elt set -> 'elt list -> 'elt set
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(* ------------------------------------------------------------------------- *)
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(* Removing. *)
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(* ------------------------------------------------------------------------- *)
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val delete : 'elt set -> 'elt -> 'elt set (* must be present *)
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val remove : 'elt set -> 'elt -> 'elt set
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val deletePick : 'elt set -> 'elt * 'elt set
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val deleteNth : 'elt set -> int -> 'elt * 'elt set
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val deleteRandom : 'elt set -> 'elt * 'elt set
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(* ------------------------------------------------------------------------- *)
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(* Joining. *)
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(* ------------------------------------------------------------------------- *)
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val union : 'elt set -> 'elt set -> 'elt set
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val unionList : 'elt set list -> 'elt set
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val intersect : 'elt set -> 'elt set -> 'elt set
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val intersectList : 'elt set list -> 'elt set
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val difference : 'elt set -> 'elt set -> 'elt set
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val symmetricDifference : 'elt set -> 'elt set -> 'elt set
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(* ------------------------------------------------------------------------- *)
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(* Mapping and folding. *)
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(* ------------------------------------------------------------------------- *)
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val filter : ('elt -> bool) -> 'elt set -> 'elt set
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val partition : ('elt -> bool) -> 'elt set -> 'elt set * 'elt set
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val app : ('elt -> unit) -> 'elt set -> unit
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val foldl : ('elt * 's -> 's) -> 's -> 'elt set -> 's
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val foldr : ('elt * 's -> 's) -> 's -> 'elt set -> 's
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(* ------------------------------------------------------------------------- *)
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(* Searching. *)
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(* ------------------------------------------------------------------------- *)
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val findl : ('elt -> bool) -> 'elt set -> 'elt option
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val findr : ('elt -> bool) -> 'elt set -> 'elt option
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val firstl : ('elt -> 'a option) -> 'elt set -> 'a option
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val firstr : ('elt -> 'a option) -> 'elt set -> 'a option
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val exists : ('elt -> bool) -> 'elt set -> bool
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val all : ('elt -> bool) -> 'elt set -> bool
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val count : ('elt -> bool) -> 'elt set -> int
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(* ------------------------------------------------------------------------- *)
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(* Comparing. *)
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(* ------------------------------------------------------------------------- *)
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val compare : 'elt set * 'elt set -> order
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val equal : 'elt set -> 'elt set -> bool
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val subset : 'elt set -> 'elt set -> bool
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val disjoint : 'elt set -> 'elt set -> bool
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(* ------------------------------------------------------------------------- *)
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(* Converting to and from lists. *)
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(* ------------------------------------------------------------------------- *)
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val transform : ('elt -> 'a) -> 'elt set -> 'a list
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val toList : 'elt set -> 'elt list
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val fromList : ('elt * 'elt -> order) -> 'elt list -> 'elt set
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(* ------------------------------------------------------------------------- *)
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(* Converting to and from maps. *)
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(* ------------------------------------------------------------------------- *)
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type ('elt,'a) map = ('elt,'a) Map.map
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val mapPartial : ('elt -> 'a option) -> 'elt set -> ('elt,'a) map
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val map : ('elt -> 'a) -> 'elt set -> ('elt,'a) map
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val domain : ('elt,'a) map -> 'elt set
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(* ------------------------------------------------------------------------- *)
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(* Pretty-printing. *)
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(* ------------------------------------------------------------------------- *)
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val toString : 'elt set -> string
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(* ------------------------------------------------------------------------- *)
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(* Iterators over sets *)
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(* ------------------------------------------------------------------------- *)
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type 'elt iterator
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val mkIterator : 'elt set -> 'elt iterator option
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val mkRevIterator : 'elt set -> 'elt iterator option
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val readIterator : 'elt iterator -> 'elt
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val advanceIterator : 'elt iterator -> 'elt iterator option
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end
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