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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 type S = module type of Array
module type ExtS =
sig
include S
val compare : ('a -> 'a -> int) -> 'a array -> 'a array -> int
(** First size comparison, then lexicographic order. *)
val equal : ('a -> 'a -> bool) -> 'a array -> 'a array -> bool
(** Lift equality to array type. *)
val equal_norefl : ('a -> 'a -> bool) -> 'a array -> 'a array -> bool
(** Like {!equal} but does not assume that equality is reflexive: no
optimisation is performed if both arrays are physically the
same. *)
val is_empty : 'a array -> bool
(** True whenever the array is empty. *)
val exists2 : ('a -> 'b -> bool) -> 'a array -> 'b array -> bool
val for_all2 : ('a -> 'b -> bool) -> 'a array -> 'b array -> bool
val for_all3 : ('a -> 'b -> 'c -> bool) ->
'a array -> 'b array -> 'c array -> bool
val for_all4 : ('a -> 'b -> 'c -> 'd -> bool) ->
'a array -> 'b array -> 'c array -> 'd array -> bool
val for_all_i : (int -> 'a -> bool) -> int -> 'a array -> bool
val findi : (int -> 'a -> bool) -> 'a array -> int option
val hd : 'a array -> 'a
(** First element of an array, or [Failure "Array.hd"] if empty. *)
val tl : 'a array -> 'a array
(** Remaining part of [hd], or [Failure "Array.tl"] if empty. *)
val last : 'a array -> 'a
(** Last element of an array, or [Failure "Array.last"] if empty. *)
val cons : 'a -> 'a array -> 'a array
(** Append an element on the left. *)
val rev : 'a array -> unit
(** In place reversal. *)
val fold_right_i :
(int -> 'b -> 'a -> 'a) -> 'b array -> 'a -> 'a
val fold_left_i : (int -> 'a -> 'b -> 'a) -> 'a -> 'b array -> 'a
val fold_right2 :
('a -> 'b -> 'c -> 'c) -> 'a array -> 'b array -> 'c -> 'c
val fold_right3 :
('a -> 'b -> 'c -> 'd -> 'd) -> 'a array -> 'b array -> 'c array -> 'd -> 'd
val fold_left2 :
('a -> 'b -> 'c -> 'a) -> 'a -> 'b array -> 'c array -> 'a
val fold_left3 :
('a -> 'b -> 'c -> 'd -> 'a) -> 'a -> 'b array -> 'c array -> 'd array -> 'a
val fold_left4 :
('a -> 'b -> 'c -> 'd -> 'e -> 'a) -> 'a -> 'b array -> 'c array -> 'd array -> 'e array -> 'a
val fold_left2_i :
(int -> 'a -> 'b -> 'c -> 'a) -> 'a -> 'b array -> 'c array -> 'a
val fold_left_from : int -> ('a -> 'b -> 'a) -> 'a -> 'b array -> 'a
val map_to_list : ('a -> 'b) -> 'a array -> 'b list
(** Composition of [map] and [to_list]. *)
val map_of_list : ('a -> 'b) -> 'a list -> 'b array
(** Composition of [map] and [of_list]. *)
val chop : int -> 'a array -> 'a array * 'a array
(** [chop i a] returns [(a1, a2)] s.t. [a = a1 + a2] and [length a1 = n].
Raise [Failure "Array.chop"] if [i] is not a valid index. *)
val map2_i : (int -> 'a -> 'b -> 'c) -> 'a array -> 'b array -> 'c array
val map3 :
('a -> 'b -> 'c -> 'd) -> 'a array -> 'b array -> 'c array -> 'd array
val map3_i :
(int -> 'a -> 'b -> 'c -> 'd) -> 'a array -> 'b array -> 'c array -> 'd array
val map_left : ('a -> 'b) -> 'a array -> 'b array
(** As [map] but guaranteed to be left-to-right. *)
val iter2_i : (int -> 'a -> 'b -> unit) -> 'a array -> 'b array -> unit
(** Iter on two arrays. Raise [Invalid_argument "Array.iter2_i"] if sizes differ. *)
val fold_left_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b array -> 'a * 'c array
(** [fold_left_map f e_0 [|l_1...l_n|] = e_n,[|k_1...k_n|]]
where [(e_i,k_i)=f e_{i-1} l_i]; see also [Smart.fold_left_map] *)
val fold_right_map : ('a -> 'c -> 'b * 'c) -> 'a array -> 'c -> 'b array * 'c
(** Same, folding on the right *)
val fold_left2_map : ('a -> 'b -> 'c -> 'a * 'd) -> 'a -> 'b array -> 'c array -> 'a * 'd array
(** Same with two arrays, folding on the left; see also [Smart.fold_left2_map] *)
val fold_left2_map_i :
(int -> 'a -> 'b -> 'c -> 'a * 'd) -> 'a -> 'b array -> 'c array -> 'a * 'd array
(** Same than [fold_left2_map] but passing the index of the array *)
val fold_right2_map : ('a -> 'b -> 'c -> 'd * 'c) -> 'a array -> 'b array -> 'c -> 'd array * 'c
(** Same with two arrays, folding on the left *)
val distinct : 'a array -> bool
(** Return [true] if every element of the array is unique (for default
equality). *)
val rev_of_list : 'a list -> 'a array
(** [rev_of_list l] is equivalent to [Array.of_list (List.rev l)]. *)
val rev_to_list : 'a array -> 'a list
(** [rev_to_list a] is equivalent to [List.rev (List.of_array a)]. *)
val filter_with : bool list -> 'a array -> 'a array
(** [filter_with b a] selects elements of [a] whose corresponding element in
[b] is [true]. Raise [Invalid_argument _] when sizes differ. *)
module Smart :
sig
val map : ('a -> 'a) -> 'a array -> 'a array
(** [Smart.map f a] behaves as [map f a] but returns [a] instead of a copy when
[f x == x] for all [x] in [a]. *)
val map_i : (int -> 'a -> 'a) -> 'a array -> 'a array
val map2 : ('a -> 'b -> 'b) -> 'a array -> 'b array -> 'b array
(** [Smart.map2 f a b] behaves as [map2 f a b] but returns [a] instead of a copy when
[f x y == y] for all [x] in [a] and [y] in [b] pointwise. *)
val fold_left_map : ('a -> 'b -> 'a * 'b) -> 'a -> 'b array -> 'a * 'b array
(** [Smart.fold_left_mapf a b] behaves as [fold_left_map] but
returns [b] as second component instead of a copy of [b] when
the output array is pointwise the same as the input array [b] *)
val fold_left2_map : ('a -> 'b -> 'c -> 'a * 'c) -> 'a -> 'b array -> 'c array -> 'a * 'c array
(** [Smart.fold_left2_map f a b c] behaves as [fold_left2_map] but
returns [c] as second component instead of a copy of [c] when
the output array is pointwise the same as the input array [c] *)
end
(** The functions defined in this module are optimized specializations
of the main ones, when the returned array is of same type as one of
the original array. *)
module Fun1 :
sig
val map : ('r -> 'a -> 'b) -> 'r -> 'a array -> 'b array
(** [Fun1.map f x v = map (f x) v] *)
val iter : ('r -> 'a -> unit) -> 'r -> 'a array -> unit
(** [Fun1.iter f x v = iter (f x) v] *)
val iter2 : ('r -> 'a -> 'b -> unit) -> 'r -> 'a array -> 'b array -> unit
(** [Fun1.iter2 f x v1 v2 = iter (f x) v1 v2] *)
module Smart :
sig
val map : ('r -> 'a -> 'a) -> 'r -> 'a array -> 'a array
(** [Fun1.Smart.map f x v = Smart.map (f x) v] *)
end
end
(** The functions defined in this module are the same as the main ones, except
that they are all higher-order, and their function arguments have an
additional parameter. This allows us to prevent closure creation in critical
cases. *)
end
include ExtS
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