--- /dev/null
+(**************************************************************************)
+(* *)
+(* Menhir *)
+(* *)
+(* François Pottier, INRIA Rocquencourt *)
+(* Yann Régis-Gianas, PPS, Université Paris Diderot *)
+(* *)
+(* Copyright 2005-2008 Institut National de Recherche en Informatique *)
+(* et en Automatique. All rights reserved. This file is distributed *)
+(* under the terms of the Q Public License version 1.0, with the change *)
+(* described in file LICENSE. *)
+(* *)
+(**************************************************************************)
+
+module type S = sig
+
+ (* Keys are assumed to have a natural total order. *)
+
+ type key
+
+ (* The type of maps whose data have type ['a]. *)
+
+ type 'a t
+
+ (* The empty map. *)
+
+ val empty: 'a t
+
+ (* [lookup k m] looks up the value associated to the key [k] in the
+ map [m], and raises [Not_found] if no value is bound to [k]. *)
+
+ val lookup: key -> 'a t -> 'a
+ val find: key -> 'a t -> 'a
+
+ (* [add k d m] returns a map whose bindings are all bindings in [m],
+ plus a binding of the key [k] to the datum [d]. If a binding
+ already exists for [k], it is overridden. *)
+
+ val add: key -> 'a -> 'a t -> 'a t
+
+ (* [strict_add k d m] returns a map whose bindings are all bindings
+ in [m], plus a binding of the key [k] to the datum [d]. If a
+ binding already exists for [k] then [Unchanged] is raised. *)
+
+ exception Unchanged
+
+ val strict_add: key -> 'a -> 'a t -> 'a t
+
+ (* [fine_add decide k d m] returns a map whose bindings are all
+ bindings in [m], plus a binding of the key [k] to the datum
+ [d]. If a binding from [k] to [d0] already exists, then the
+ resulting map contains a binding from [k] to [decide d0 d]. *)
+
+ type 'a decision = 'a -> 'a -> 'a
+
+ val fine_add: 'a decision -> key -> 'a -> 'a t -> 'a t
+
+ (* [mem k m] tells whether the key [k] appears in the domain of the
+ map [m]. *)
+
+ val mem: key -> 'a t -> bool
+
+ (* [singleton k d] returns a map whose only binding is from [k] to [d]. *)
+
+ val singleton: key -> 'a -> 'a t
+
+ (* [is_empty m] returns [true] if and only if the map [m] defines no
+ bindings at all. *)
+
+ val is_empty: 'a t -> bool
+
+ (* [is_singleton s] returns [Some x] if [s] is a singleton
+ containing [x] as its only element; otherwise, it returns
+ [None]. *)
+
+ val is_singleton: 'a t -> (key * 'a) option
+
+ (* [cardinal m] returns [m]'s cardinal, that is, the number of keys
+ it binds, or, in other words, the cardinal of its domain. *)
+
+ val cardinal: 'a t -> int
+
+ (* [choose m] returns an arbitrarily chosen binding in [m], if [m]
+ is nonempty, and raises [Not_found] otherwise. *)
+
+ val choose: 'a t -> key * 'a
+
+ (* [lookup_and_remove k m] looks up the value [v] associated to the
+ key [k] in the map [m], and raises [Not_found] if no value is
+ bound to [k]. The call returns the value [v], together with the
+ map [m] deprived from the binding from [k] to [v]. *)
+
+ val lookup_and_remove: key -> 'a t -> 'a * 'a t
+ val find_and_remove: key -> 'a t -> 'a * 'a t
+
+ (* [remove k m] is the map [m] deprived from any binding for [k]. *)
+
+ val remove: key -> 'a t -> 'a t
+
+ (* [union m1 m2] returns the union of the maps [m1] and
+ [m2]. Bindings in [m2] take precedence over those in [m1]. *)
+
+ val union: 'a t -> 'a t -> 'a t
+
+ (* [fine_union decide m1 m2] returns the union of the maps [m1] and
+ [m2]. If a key [k] is bound to [x1] (resp. [x2]) within [m1]
+ (resp. [m2]), then [decide] is called. It is passed [x1] and
+ [x2], and must return the value that shall be bound to [k] in the
+ final map. *)
+
+ val fine_union: 'a decision -> 'a t -> 'a t -> 'a t
+
+ (* [iter f m] invokes [f k x], in turn, for each binding from key
+ [k] to element [x] in the map [m]. Keys are presented to [f] in
+ increasing order. *)
+
+ val iter: (key -> 'a -> unit) -> 'a t -> unit
+
+ (* [fold f m seed] invokes [f k d accu], in turn, for each binding
+ from key [k] to datum [d] in the map [m]. Keys are presented to
+ [f] in increasing order. The initial value of [accu] is [seed];
+ then, at each new call, its value is the value returned by the
+ previous invocation of [f]. The value returned by [fold] is the
+ final value of [accu]. *)
+
+ val fold: (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
+
+ (* [fold_rev] performs exactly the same job as [fold], but presents
+ keys to [f] in the opposite order. *)
+
+ val fold_rev: (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
+
+ (* It is valid to evaluate [iter2 f m1 m2] if and only if [m1] and
+ [m2] have equal domains. Doing so invokes [f k x1 x2], in turn,
+ for each key [k] bound to [x1] in [m1] and to [x2] in
+ [m2]. Bindings are presented to [f] in increasing order. *)
+
+ val iter2: (key -> 'a -> 'b -> unit) -> 'a t -> 'b t -> unit
+
+ (* [map f m] returns the map obtained by composing the map [m] with
+ the function [f]; that is, the map $k\mapsto f(m(k))$. *)
+
+ val map: ('a -> 'b) -> 'a t -> 'b t
+
+ (* [endo_map] is similar to [map], but attempts to physically share
+ its result with its input. This saves memory when [f] is the
+ identity function. *)
+
+ val endo_map: ('a -> 'a) -> 'a t -> 'a t
+
+ (* If [dcompare] is an ordering over data, then [compare dcompare]
+ is an ordering over maps. *)
+
+ val compare: ('a -> 'a -> int) -> 'a t -> 'a t -> int
+
+ (* A map's domain is a set. Thus, to be able to perform operations
+ on domains, we need set operations, provided by the [Domain]
+ sub-module. The two-way connection between maps and their domains
+ is given by two additional functions, [domain] and
+ [lift]. [domain m] returns [m]'s domain. [lift f s] returns the
+ map $k\mapsto f(k)$, where $k$ ranges over a set of keys [s]. *)
+
+ module Domain : GSet.S with type element = key
+
+ val domain: 'a t -> Domain.t
+ val lift: (key -> 'a) -> Domain.t -> 'a t
+
+ (* [corestrict m d] performs a co-restriction of the map [m] to the
+ domain [d]. That is, it returns the map $k\mapsto m(k)$, where
+ $k$ ranges over all keys bound in [m] but \emph{not} present in
+ [d]. *)
+
+ val corestrict: 'a t -> Domain.t -> 'a t
+
+end
+