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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, with *)
+(* the special exception on linking described in file ../LICENSE. *)
+(* *)
+(***********************************************************************)
+
+(* $Id$ *)
+
+(** Association tables over ordered types.
+
+ This module implements applicative association tables, also known as
+ finite maps or dictionaries, given a total ordering function
+ over the keys.
+ All operations over maps are purely applicative (no side-effects).
+ The implementation uses balanced binary trees, and therefore searching
+ and insertion take time logarithmic in the size of the map.
+*)
+
+module type OrderedType =
+ sig
+ type t
+ (** The type of the map keys. *)
+ val compare : t -> t -> int
+ (** A total ordering function over the keys.
+ This is a two-argument function [f] such that
+ [f e1 e2] is zero if the keys [e1] and [e2] are equal,
+ [f e1 e2] is strictly negative if [e1] is smaller than [e2],
+ and [f e1 e2] is strictly positive if [e1] is greater than [e2].
+ Example: a suitable ordering function is the generic structural
+ comparison function {!Pervasives.compare}. *)
+ end
+(** Input signature of the functor {!Map.Make}. *)
+
+module type S =
+ sig
+ type key
+ (** The type of the map keys. *)
+
+ type (+'a) t
+ (** The type of maps from type [key] to type ['a]. *)
+
+ val empty: 'a t
+ (** The empty map. *)
+
+ val is_empty: 'a t -> bool
+ (** Test whether a map is empty or not. *)
+
+ val mem: key -> 'a t -> bool
+ (** [mem x m] returns [true] if [m] contains a binding for [x],
+ and [false] otherwise. *)
+
+ val add: key -> 'a -> 'a t -> 'a t
+ (** [add x y m] returns a map containing the same bindings as
+ [m], plus a binding of [x] to [y]. If [x] was already bound
+ in [m], its previous binding disappears. *)
+
+ val singleton: key -> 'a -> 'a t
+ (** [singleton x y] returns the one-element map that contains a binding [y]
+ for [x].
+ @since 3.12.0
+ *)
+
+ val remove: key -> 'a t -> 'a t
+ (** [remove x m] returns a map containing the same bindings as
+ [m], except for [x] which is unbound in the returned map. *)
+
+ val merge:
+ (key -> 'a option -> 'b option -> 'c option) -> 'a t -> 'b t -> 'c t
+ (** [merge f m1 m2] computes a map whose keys is a subset of keys of [m1]
+ and of [m2]. The presence of each such binding, and the corresponding
+ value, is determined with the function [f].
+ @since 3.12.0
+ *)
+
+ val compare: ('a -> 'a -> int) -> 'a t -> 'a t -> int
+ (** Total ordering between maps. The first argument is a total ordering
+ used to compare data associated with equal keys in the two maps. *)
+
+ val equal: ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
+ (** [equal cmp m1 m2] tests whether the maps [m1] and [m2] are
+ equal, that is, contain equal keys and associate them with
+ equal data. [cmp] is the equality predicate used to compare
+ the data associated with the keys. *)
+
+ val iter: (key -> 'a -> unit) -> 'a t -> unit
+ (** [iter f m] applies [f] to all bindings in map [m].
+ [f] receives the key as first argument, and the associated value
+ as second argument. The bindings are passed to [f] in increasing
+ order with respect to the ordering over the type of the keys. *)
+
+ val fold: (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
+ (** [fold f m a] computes [(f kN dN ... (f k1 d1 a)...)],
+ where [k1 ... kN] are the keys of all bindings in [m]
+ (in increasing order), and [d1 ... dN] are the associated data. *)
+
+ val for_all: (key -> 'a -> bool) -> 'a t -> bool
+ (** [for_all p m] checks if all the bindings of the map
+ satisfy the predicate [p].
+ @since 3.12.0
+ *)
+
+ val exists: (key -> 'a -> bool) -> 'a t -> bool
+ (** [exists p m] checks if at least one binding of the map
+ satisfy the predicate [p].
+ @since 3.12.0
+ *)
+
+ val filter: (key -> 'a -> bool) -> 'a t -> 'a t
+ (** [filter p m] returns the map with all the bindings in [m]
+ that satisfy predicate [p].
+ @since 3.12.0
+ *)
+
+ val partition: (key -> 'a -> bool) -> 'a t -> 'a t * 'a t
+ (** [partition p m] returns a pair of maps [(m1, m2)], where
+ [m1] contains all the bindings of [s] that satisfy the
+ predicate [p], and [m2] is the map with all the bindings of
+ [s] that do not satisfy [p].
+ @since 3.12.0
+ *)
+
+ val cardinal: 'a t -> int
+ (** Return the number of bindings of a map.
+ @since 3.12.0
+ *)
+
+ val bindings: 'a t -> (key * 'a) list
+ (** Return the list of all bindings of the given map.
+ The returned list is sorted in increasing order with respect
+ to the ordering [Ord.compare], where [Ord] is the argument
+ given to {!Map.Make}.
+ @since 3.12.0
+ *)
+
+ val min_binding: 'a t -> (key * 'a)
+ (** Return the smallest binding of the given map
+ (with respect to the [Ord.compare] ordering), or raise
+ [Not_found] if the map is empty.
+ @since 3.12.0
+ *)
+
+ val max_binding: 'a t -> (key * 'a)
+ (** Same as {!Map.S.min_binding}, but returns the largest binding
+ of the given map.
+ @since 3.12.0
+ *)
+
+ val choose: 'a t -> (key * 'a)
+ (** Return one binding of the given map, or raise [Not_found] if
+ the map is empty. Which binding is chosen is unspecified,
+ but equal bindings will be chosen for equal maps.
+ @since 3.12.0
+ *)
+
+ val split: key -> 'a t -> 'a t * 'a option * 'a t
+ (** [split x m] returns a triple [(l, data, r)], where
+ [l] is the map with all the bindings of [m] whose key
+ is strictly less than [x];
+ [r] is the map with all the bindings of [m] whose key
+ is strictly greater than [x];
+ [data] is [None] if [m] contains no binding for [x],
+ or [Some v] if [m] binds [v] to [x].
+ @since 3.12.0
+ *)
+
+ val find: key -> 'a t -> 'a
+ (** [find x m] returns the current binding of [x] in [m],
+ or raises [Not_found] if no such binding exists. *)
+
+ val map: ('a -> 'b) -> 'a t -> 'b t
+ (** [map f m] returns a map with same domain as [m], where the
+ associated value [a] of all bindings of [m] has been
+ replaced by the result of the application of [f] to [a].
+ The bindings are passed to [f] in increasing order
+ with respect to the ordering over the type of the keys. *)
+
+ val mapi: (key -> 'a -> 'b) -> 'a t -> 'b t
+ (** Same as {!Map.S.map}, but the function receives as arguments both the
+ key and the associated value for each binding of the map. *)
+
+
+ end
+(** Output signature of the functor {!Map.Make}. *)
+
+module Make (Ord : OrderedType) : S with type key = Ord.t
+(** Functor building an implementation of the map structure
+ given a totally ordered type. *)