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+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
+(* \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) *)
+(************************************************************************)
+
+(** Module implementing basic combinators for OCaml option type.
+ It tries follow closely the style of OCaml standard library.
+
+ Actually, some operations have the same name as [List] ones:
+ they actually are similar considering ['a option] as a type
+ of lists with at most one element. *)
+
+exception IsNone
+
+(** [has_some x] is [true] if [x] is of the form [Some y] and [false]
+ otherwise. *)
+val has_some : 'a option -> bool
+
+(** Negation of [has_some] *)
+val is_empty : 'a option -> bool
+
+(** [equal f x y] lifts the equality predicate [f] to
+ option types. That is, if both [x] and [y] are [None] then
+ it returns [true], if they are both [Some _] then
+ [f] is called. Otherwise it returns [false]. *)
+val equal : ('a -> 'a -> bool) -> 'a option -> 'a option -> bool
+
+(** Same as [equal], but with comparison. *)
+val compare : ('a -> 'a -> int) -> 'a option -> 'a option -> int
+
+(** Lift a hash to option types. *)
+val hash : ('a -> int) -> 'a option -> int
+
+(** [get x] returns [y] where [x] is [Some y].
+ @raise IsNone if [x] equals [None]. *)
+val get : 'a option -> 'a
+
+(** [make x] returns [Some x]. *)
+val make : 'a -> 'a option
+
+(** [bind x f] is [f y] if [x] is [Some y] and [None] otherwise *)
+val bind : 'a option -> ('a -> 'b option) -> 'b option
+
+(** [init b x] returns [Some x] if [b] is [true] and [None] otherwise. *)
+val init : bool -> 'a -> 'a option
+
+(** [flatten x] is [Some y] if [x] is [Some (Some y)] and [None] otherwise. *)
+val flatten : 'a option option -> 'a option
+
+(** [append x y] is the first element of the concatenation of [x] and
+ [y] seen as lists. In other words, [append (Some a) y] is [Some
+ a], [append None (Some b)] is [Some b], and [append None None] is
+ [None]. *)
+val append : 'a option -> 'a option -> 'a option
+
+
+(** {6 "Iterators"} *)
+
+(** [iter f x] executes [f y] if [x] equals [Some y]. It does nothing
+ otherwise. *)
+val iter : ('a -> unit) -> 'a option -> unit
+
+exception Heterogeneous
+
+(** [iter2 f x y] executes [f z w] if [x] equals [Some z] and [y] equals
+ [Some w]. It does nothing if both [x] and [y] are [None].
+ @raise Heterogeneous otherwise. *)
+val iter2 : ('a -> 'b -> unit) -> 'a option -> 'b option -> unit
+
+(** [map f x] is [None] if [x] is [None] and [Some (f y)] if [x] is [Some y]. *)
+val map : ('a -> 'b) -> 'a option -> 'b option
+
+(** [smartmap f x] does the same as [map f x] except that it tries to share
+ some memory. *)
+val smartmap : ('a -> 'a) -> 'a option -> 'a option
+
+(** [fold_left f a x] is [f a y] if [x] is [Some y], and [a] otherwise. *)
+val fold_left : ('b -> 'a -> 'b) -> 'b -> 'a option -> 'b
+
+(** [fold_left2 f a x y] is [f z w] if [x] is [Some z] and [y] is [Some w].
+ It is [a] if both [x] and [y] are [None].
+ @raise Heterogeneous otherwise. *)
+val fold_left2 : ('a -> 'b -> 'c -> 'a) -> 'a -> 'b option -> 'c option -> 'a
+
+(** [fold_right f x a] is [f y a] if [x] is [Some y], and [a] otherwise. *)
+val fold_right : ('a -> 'b -> 'b) -> 'a option -> 'b -> 'b
+
+(** [fold_left_map f a x] is [a, f y] if [x] is [Some y], and [a] otherwise. *)
+val fold_left_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b option -> 'a * 'c option
+
+(** Same as [fold_left_map] on the right *)
+val fold_right_map : ('b -> 'a -> 'c * 'a) -> 'b option -> 'a -> 'c option * 'a
+
+(** @deprecated Same as [fold_left_map] *)
+val fold_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b option -> 'a * 'c option
+[@@ocaml.deprecated "Same as [fold_left_map]"]
+
+(** [cata f e x] is [e] if [x] is [None] and [f a] if [x] is [Some a] *)
+val cata : ('a -> 'b) -> 'b -> 'a option -> 'b
+
+(** {6 More Specific Operations} *)
+
+(** [default a x] is [y] if [x] is [Some y] and [a] otherwise. *)
+val default : 'a -> 'a option -> 'a
+
+(** [lift] is the same as {!map}. *)
+val lift : ('a -> 'b) -> 'a option -> 'b option
+
+(** [lift_right f a x] is [Some (f a y)] if [x] is [Some y], and
+ [None] otherwise. *)
+val lift_right : ('a -> 'b -> 'c) -> 'a -> 'b option -> 'c option
+
+(** [lift_left f x a] is [Some (f y a)] if [x] is [Some y], and
+ [None] otherwise. *)
+val lift_left : ('a -> 'b -> 'c) -> 'a option -> 'b -> 'c option
+
+(** [lift2 f x y] is [Some (f z w)] if [x] equals [Some z] and [y] equals
+ [Some w]. It is [None] otherwise. *)
+val lift2 : ('a -> 'b -> 'c) -> 'a option -> 'b option -> 'c option
+
+
+(** {6 Operations with Lists} *)
+
+module List : sig
+ (** [List.cons x l] equals [y::l] if [x] is [Some y] and [l] otherwise. *)
+ val cons : 'a option -> 'a list -> 'a list
+
+ (** [List.flatten l] is the list of all the [y]s such that [l] contains
+ [Some y] (in the same order). *)
+ val flatten : 'a option list -> 'a list
+
+ (** [List.find f l] is the first [f a] different from [None],
+ scrolling through elements [a] of [l] in left-to-right order;
+ it is [None] if no such element exists. *)
+ val find : ('a -> 'b option) -> 'a list -> 'b option
+
+ (** [List.map f [a1;...;an]] is the list [Some [b1;...;bn]] if
+ for all i, there is a [bi] such that [f ai] is [Some bi]; it is
+ [None] if, for at least one i, [f ai] is [None]. *)
+ val map : ('a -> 'b option) -> 'a list -> 'b list option
+
+end