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(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * Copyright INRIA, CNRS and contributors *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
(** {5 Extended version of OCaml's maps} *)
module type OrderedType =
sig
type t
val compare : t -> t -> int
end
module type MonadS =
sig
type +'a t
val return : 'a -> 'a t
val (>>=) : 'a t -> ('a -> 'b t) -> 'b t
end
module type S = Map.S
module type ExtS =
sig
include CSig.MapS
(** The underlying Map library *)
module Set : CSig.SetS with type elt = key
(** Sets used by the domain function *)
val get : key -> 'a t -> 'a
(** Same as {!find} but fails an assertion instead of raising [Not_found] *)
val set : key -> 'a -> 'a t -> 'a t
(** Same as [add], but expects the key to be present, and thus faster.
@raise Not_found when the key is unbound in the map. *)
val modify : key -> (key -> 'a -> 'a) -> 'a t -> 'a t
(** Apply the given function to the binding of the given key.
@raise Not_found when the key is unbound in the map. *)
val domain : 'a t -> Set.t
(** Recover the set of keys defined in the map. *)
val bind : (key -> 'a) -> Set.t -> 'a t
(** [bind f s] transform the set [x1; ...; xn] into [x1 := f x1; ...;
xn := f xn]. *)
val fold_left : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
(** Alias for {!fold}, to easily track where we depend on fold order. *)
val fold_right : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
(** Folding keys in decreasing order. *)
val height : 'a t -> int
(** An indication of the logarithmic size of a map *)
val filter_range : (key -> int) -> 'a t -> 'a t
(** [find_range in_range m] Given a comparison function [in_range x],
that tests if [x] is below, above, or inside a given range
[filter_range] returns the submap of [m] whose keys are in
range. Note that [in_range] has to define a continouous range. *)
val update: key -> ('a option -> 'a option) -> 'a t -> 'a t
(** [update x f m] returns a map containing the same bindings as
[m], except for the binding of [x]. Depending on the value of
[y] where [y] is [f (find_opt x m)], the binding of [x] is
added, removed or updated. If [y] is [None], the binding is
removed if it exists; otherwise, if [y] is [Some z] then [x]
is associated to [z] in the resulting map. If [x] was already
bound in [m] to a value that is physically equal to [z], [m]
is returned unchanged (the result of the function is then
physically equal to [m]).
*)
module Smart :
sig
val map : ('a -> 'a) -> 'a t -> 'a t
(** As [map] but tries to preserve sharing. *)
val mapi : (key -> 'a -> 'a) -> 'a t -> 'a t
(** As [mapi] but tries to preserve sharing. *)
end
module Unsafe :
sig
val map : (key -> 'a -> key * 'b) -> 'a t -> 'b t
(** As the usual [map], but also allows modifying the key of a binding.
It is required that the mapping function [f] preserves key equality,
i.e.: for all (k : key) (x : 'a), compare (fst (f k x)) k = 0. *)
end
module Monad(M : MonadS) :
sig
val fold : (key -> 'a -> 'b -> 'b M.t) -> 'a t -> 'b -> 'b M.t
val fold_left : (key -> 'a -> 'b -> 'b M.t) -> 'a t -> 'b -> 'b M.t
val fold_right : (key -> 'a -> 'b -> 'b M.t) -> 'a t -> 'b -> 'b M.t
end
(** Fold operators parameterized by any monad. *)
end
module Make(M : Map.OrderedType) : ExtS with
type key = M.t
and type 'a t = 'a Map.Make(M).t
and module Set := Set.Make(M)
|