|
(************************************************************************)
(* * 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
val equal : ('a -> 'a -> bool) -> 'a array -> 'a array -> bool
val equal_norefl : ('a -> 'a -> bool) -> 'a array -> 'a array -> bool
val is_empty : 'a array -> bool
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
val tl : 'a array -> 'a array
val last : 'a array -> 'a
val cons : 'a -> 'a array -> 'a array
val rev : 'a array -> unit
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
val map_of_list : ('a -> 'b) -> 'a list -> 'b array
val chop : int -> 'a array -> 'a array * 'a array
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
val iter2_i : (int -> 'a -> 'b -> unit) -> 'a array -> 'b array -> unit
val fold_left_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b array -> 'a * 'c array
val fold_right_map : ('a -> 'c -> 'b * 'c) -> 'a array -> 'c -> 'b array * 'c
val fold_left2_map : ('a -> 'b -> 'c -> 'a * 'd) -> 'a -> 'b array -> 'c array -> 'a * 'd array
val fold_left2_map_i : (int -> 'a -> 'b -> 'c -> 'a * 'd) -> 'a -> 'b array -> 'c array -> 'a * 'd array
val fold_right2_map : ('a -> 'b -> 'c -> 'd * 'c) -> 'a array -> 'b array -> 'c -> 'd array * 'c
val distinct : 'a array -> bool
val rev_of_list : 'a list -> 'a array
val rev_to_list : 'a array -> 'a list
val filter_with : bool list -> 'a array -> 'a array
module Smart :
sig
val map : ('a -> 'a) -> 'a array -> 'a array
val map_i : (int -> 'a -> 'a) -> 'a array -> 'a array
val map2 : ('a -> 'b -> 'b) -> 'a array -> 'b array -> 'b array
val fold_left_map : ('a -> 'b -> 'a * 'b) -> 'a -> 'b array -> 'a * 'b array
val fold_left2_map : ('a -> 'b -> 'c -> 'a * 'c) -> 'a -> 'b array -> 'c array -> 'a * 'c array
end
module Fun1 :
sig
val map : ('r -> 'a -> 'b) -> 'r -> 'a array -> 'b array
val iter : ('r -> 'a -> unit) -> 'r -> 'a array -> unit
val iter2 : ('r -> 'a -> 'b -> unit) -> 'r -> 'a array -> 'b array -> unit
module Smart :
sig
val map : ('r -> 'a -> 'a) -> 'r -> 'a array -> 'a array
end
end
end
include Array
let uget = Array.unsafe_get
(* Arrays *)
let compare cmp v1 v2 =
if v1 == v2 then 0
else
let len = Array.length v1 in
let c = Int.compare len (Array.length v2) in
if c <> 0 then c else
let rec loop i =
if i < 0 then 0
else
let x = uget v1 i in
let y = uget v2 i in
let c = cmp x y in
if c <> 0 then c
else loop (i - 1)
in
loop (len - 1)
let equal_norefl cmp t1 t2 =
let len = Array.length t1 in
if not (Int.equal len (Array.length t2)) then false
else
let rec aux i =
if i < 0 then true
else
let x = uget t1 i in
let y = uget t2 i in
cmp x y && aux (pred i)
in
aux (len - 1)
let equal cmp t1 t2 =
if t1 == t2 then true else equal_norefl cmp t1 t2
let is_empty array = Int.equal (Array.length array) 0
let exists2 f v1 v2 =
let rec exrec = function
| -1 -> false
| n -> f (uget v1 n) (uget v2 n) || (exrec (n-1))
in
let lv1 = Array.length v1 in
lv1 = Array.length v2 && exrec (lv1-1)
let for_all2 f v1 v2 =
let rec allrec = function
| -1 -> true
| n ->
let ans = f (uget v1 n) (uget v2 n) in
ans && (allrec (n-1))
in
let lv1 = Array.length v1 in
lv1 = Array.length v2 && allrec (pred lv1)
let for_all3 f v1 v2 v3 =
let rec allrec = function
| -1 -> true
| n ->
let ans = f (uget v1 n)
(uget v2 n) (uget v3 n)
in
ans && (allrec (n-1))
in
let lv1 = Array.length v1 in
lv1 = Array.length v2 && lv1 = Array.length v3 && allrec (pred lv1)
let for_all4 f v1 v2 v3 v4 =
let rec allrec = function
| -1 -> true
| n ->
let ans = f (uget v1 n)
(uget v2 n) (uget v3 n) (uget v4 n)
in
ans && (allrec (n-1))
in
let lv1 = Array.length v1 in
lv1 = Array.length v2 &&
lv1 = Array.length v3 &&
lv1 = Array.length v4 &&
allrec (pred lv1)
let for_all_i f i v =
let len = Array.length v in
let rec allrec i n =
n = len || f i (uget v n) && allrec (i+1) (n+1) in
allrec i 0
exception Found of int
let findi (pred: int -> 'a -> bool) (arr: 'a array) : int option =
try
for i=0 to Array.length arr - 1 do
if pred i (uget arr i) then raise (Found i) done;
None
with Found i -> Some i
let hd v =
match Array.length v with
| 0 -> failwith "Array.hd"
| _ -> uget v 0
let tl v =
match Array.length v with
| 0 -> failwith "Array.tl"
| n -> Array.sub v 1 (pred n)
let last v =
match Array.length v with
| 0 -> failwith "Array.last"
| n -> uget v (pred n)
let cons e v =
let len = Array.length v in
let ans = Array.make (Array.length v + 1) e in
let () = Array.blit v 0 ans 1 len in
ans
let rev t =
let n=Array.length t in
if n <=0 then ()
else
for i = 0 to pred (n/2) do
let tmp = uget t ((pred n)-i) in
Array.unsafe_set t ((pred n)-i) (uget t i);
Array.unsafe_set t i tmp
done
let fold_right_i f v a =
let rec fold a n =
if n=0 then a
else
let k = n-1 in
fold (f k (uget v k) a) k in
fold a (Array.length v)
let fold_left_i f v a =
let n = Array.length a in
let rec fold i v = if i = n then v else fold (succ i) (f i v (uget a i)) in
fold 0 v
let fold_right2 f v1 v2 a =
let lv1 = Array.length v1 in
let rec fold a n =
if n=0 then a
else
let k = n-1 in
fold (f (uget v1 k) (uget v2 k) a) k in
if Array.length v2 <> lv1 then invalid_arg "Array.fold_right2";
fold a lv1
let fold_left2 f a v1 v2 =
let lv1 = Array.length v1 in
let rec fold a n =
if n >= lv1 then a else fold (f a (uget v1 n) (uget v2 n)) (succ n)
in
if Array.length v2 <> lv1 then invalid_arg "Array.fold_left2";
fold a 0
let fold_left2_i f a v1 v2 =
let lv1 = Array.length v1 in
let rec fold a n =
if n >= lv1 then a else fold (f n a (uget v1 n) (uget v2 n)) (succ n)
in
if Array.length v2 <> lv1 then invalid_arg "Array.fold_left2_i";
fold a 0
let fold_right3 f v1 v2 v3 a =
let lv1 = Array.length v1 in
let rec fold a n =
if n=0 then a
else
let k = n-1 in
fold (f (uget v1 k) (uget v2 k) (uget v3 k) a) k in
if Array.length v2 <> lv1 || Array.length v3 <> lv1 then invalid_arg "Array.fold_right3";
fold a lv1
let fold_left3 f a v1 v2 v3 =
let lv1 = Array.length v1 in
let rec fold a n =
if n >= lv1 then a
else fold (f a (uget v1 n) (uget v2 n) (uget v3 n)) (succ n)
in
if Array.length v2 <> lv1 || Array.length v3 <> lv1 then
invalid_arg "Array.fold_left3";
fold a 0
let fold_left4 f a v1 v2 v3 v4 =
let lv1 = Array.length v1 in
let rec fold a n =
if n >= lv1 then a
else fold (f a (uget v1 n) (uget v2 n) (uget v3 n) (uget v4 n)) (succ n)
in
if Array.length v2 <> lv1 || Array.length v3 <> lv1 || Array.length v4 <> lv1 then
invalid_arg "Array.fold_left4";
fold a 0
let fold_left_from n f a v =
let len = Array.length v in
let () = if n < 0 then invalid_arg "Array.fold_left_from" in
let rec fold a n =
if n >= len then a else fold (f a (uget v n)) (succ n)
in
fold a n
let rev_of_list = function
| [] -> [| |]
| x :: l ->
let len = List.length l in
let ans = Array.make (succ len) x in
let rec set i = function
| [] -> ()
| x :: l ->
Array.unsafe_set ans i x;
set (pred i) l
in
let () = set (len - 1) l in
ans
let map_to_list = CList.map_of_array
let map_of_list f l =
let len = List.length l in
let rec fill i v = function
| [] -> ()
| x :: l ->
Array.unsafe_set v i (f x);
fill (succ i) v l
in
match l with
| [] -> [||]
| x :: l ->
let ans = Array.make len (f x) in
let () = fill 1 ans l in
ans
let chop n v =
let vlen = Array.length v in
if n > vlen then failwith "Array.chop";
(Array.sub v 0 n, Array.sub v n (vlen-n))
let map2_i f v1 v2 =
let len1 = Array.length v1 in
let len2 = Array.length v2 in
let () = if not (Int.equal len1 len2) then invalid_arg "Array.map2" in
if Int.equal len1 0 then
[| |]
else begin
let res = Array.make len1 (f 0 (uget v1 0) (uget v2 0)) in
for i = 1 to pred len1 do
Array.unsafe_set res i (f i (uget v1 i) (uget v2 i))
done;
res
end
let map3 f v1 v2 v3 =
let len1 = Array.length v1 in
let () =
if len1 <> Array.length v2 || len1 <> Array.length v3
then invalid_arg "Array.map3"
in
if Int.equal len1 0 then
[| |]
else begin
let res = Array.make len1 (f (uget v1 0) (uget v2 0) (uget v3 0)) in
for i = 1 to pred len1 do
Array.unsafe_set res i (f (uget v1 i) (uget v2 i) (uget v3 i))
done;
res
end
let map3_i f v1 v2 v3 =
let len1 = Array.length v1 in
let len2 = Array.length v2 in
let len3 = Array.length v3 in
let () = if not (Int.equal len1 len2 && Int.equal len1 len3) then invalid_arg "Array.map3_i" in
if Int.equal len1 0 then
[| |]
else begin
let res = Array.make len1 (f 0 (uget v1 0) (uget v2 0) (uget v3 0)) in
for i = 1 to pred len1 do
Array.unsafe_set res i (f i (uget v1 i) (uget v2 i) (uget v3 i))
done;
res
end
let map_left f a = (* Ocaml does not guarantee Array.map is LR *)
let l = Array.length a in (* (even if so), then we rewrite it *)
if Int.equal l 0 then [||] else begin
let r = Array.make l (f (uget a 0)) in
for i = 1 to l - 1 do
Array.unsafe_set r i (f (uget a i))
done;
r
end
let iter2_i f v1 v2 =
let len1 = Array.length v1 in
let len2 = Array.length v2 in
let () = if not (Int.equal len2 len1) then invalid_arg "Array.iter2" in
for i = 0 to len1 - 1 do f i (uget v1 i) (uget v2 i) done
let pure_functional = false
let fold_right_map f v e =
if pure_functional then
let (l,e) =
Array.fold_right
(fun x (l,e) -> let (y,e) = f x e in (y::l,e))
v ([],e) in
(Array.of_list l,e)
else
let e' = ref e in
let v' = Array.map (fun x -> let (y,e) = f x !e' in e' := e; y) v in
(v',!e')
let fold_left_map f e v =
let e' = ref e in
let v' = Array.map (fun x -> let (e,y) = f !e' x in e' := e; y) v in
(!e',v')
let fold_right2_map f v1 v2 e =
let e' = ref e in
let v' =
map2 (fun x1 x2 -> let (y,e) = f x1 x2 !e' in e' := e; y) v1 v2
in
(v',!e')
let fold_left2_map f e v1 v2 =
let e' = ref e in
let v' = map2 (fun x1 x2 -> let (e,y) = f !e' x1 x2 in e' := e; y) v1 v2 in
(!e',v')
let fold_left2_map_i f e v1 v2 =
let e' = ref e in
let v' = map2_i (fun idx x1 x2 -> let (e,y) = f idx !e' x1 x2 in e' := e; y) v1 v2 in
(!e',v')
let distinct v =
let visited = Hashtbl.create 23 in
try
Array.iter
(fun x ->
if Hashtbl.mem visited x then raise Exit
else Hashtbl.add visited x x)
v;
true
with Exit -> false
let rev_to_list a =
let rec tolist i res =
if i >= Array.length a then res else tolist (i+1) (uget a i :: res) in
tolist 0 []
let filter_with filter v =
Array.of_list (CList.filter_with filter (Array.to_list v))
module Smart =
struct
(* If none of the elements is changed by f we return ar itself.
The while loop looks for the first such an element.
If found, we break here and the new array is produced,
but f is not re-applied to elements that are already checked *)
let map f (ar : 'a array) =
let len = Array.length ar in
let i = ref 0 in
let break = ref true in
let temp = ref None in
while !break && (!i < len) do
let v = Array.unsafe_get ar !i in
let v' = f v in
if v == v' then incr i
else begin
break := false;
temp := Some v';
end
done;
if !i < len then begin
(* The array is not the same as the original one *)
let ans : 'a array = Array.copy ar in
let v = match !temp with None -> assert false | Some x -> x in
Array.unsafe_set ans !i v;
incr i;
while !i < len do
let v = Array.unsafe_get ans !i in
let v' = f v in
if v != v' then Array.unsafe_set ans !i v';
incr i
done;
ans
end else ar
(* Same as map_i but smart *)
let map_i f (ar : 'a array) =
let len = Array.length ar in
let i = ref 0 in
let break = ref true in
let temp = ref None in
while !break && (!i < len) do
let v = Array.unsafe_get ar !i in
let v' = f !i v in
if v == v' then incr i
else begin
break := false;
temp := Some v';
end
done;
if !i < len then begin
(* The array is not the same as the original one *)
let ans : 'a array = Array.copy ar in
let v = match !temp with None -> assert false | Some x -> x in
Array.unsafe_set ans !i v;
incr i;
while !i < len do
let v = Array.unsafe_get ans !i in
let v' = f !i v in
if v != v' then Array.unsafe_set ans !i v';
incr i
done;
ans
end else ar
let map2 f aux_ar ar =
let len = Array.length ar in
let aux_len = Array.length aux_ar in
let () = if not (Int.equal len aux_len) then invalid_arg "Array.Smart.map2" in
let i = ref 0 in
let break = ref true in
let temp = ref None in
while !break && (!i < len) do
let v = Array.unsafe_get ar !i in
let w = Array.unsafe_get aux_ar !i in
let v' = f w v in
if v == v' then incr i
else begin
break := false;
temp := Some v';
end
done;
if !i < len then begin
(* The array is not the same as the original one *)
let ans : 'a array = Array.copy ar in
let v = match !temp with None -> assert false | Some x -> x in
Array.unsafe_set ans !i v;
incr i;
while !i < len do
let v = Array.unsafe_get ans !i in
let w = Array.unsafe_get aux_ar !i in
let v' = f w v in
if v != v' then Array.unsafe_set ans !i v';
incr i
done;
ans
end else ar
(** Same as [Smart.map] but threads a state meanwhile *)
let fold_left_map f accu (ar : 'a array) =
let len = Array.length ar in
let i = ref 0 in
let break = ref true in
let r = ref accu in
(* This variable is never accessed unset *)
let temp = ref None in
while !break && (!i < len) do
let v = Array.unsafe_get ar !i in
let (accu, v') = f !r v in
r := accu;
if v == v' then incr i
else begin
break := false;
temp := Some v';
end
done;
if !i < len then begin
let ans : 'a array = Array.copy ar in
let v = match !temp with None -> assert false | Some x -> x in
Array.unsafe_set ans !i v;
incr i;
while !i < len do
let v = Array.unsafe_get ar !i in
let (accu, v') = f !r v in
r := accu;
if v != v' then Array.unsafe_set ans !i v';
incr i
done;
!r, ans
end else !r, ar
(** Same as [Smart.map2] but threads a state meanwhile *)
let fold_left2_map f accu aux_ar ar =
let len = Array.length ar in
let aux_len = Array.length aux_ar in
let () = if not (Int.equal len aux_len) then invalid_arg "Array.Smart.fold_left2_map" in
let i = ref 0 in
let break = ref true in
let r = ref accu in
(* This variable is never accessed unset *)
let temp = ref None in
while !break && (!i < len) do
let v = Array.unsafe_get ar !i in
let w = Array.unsafe_get aux_ar !i in
let (accu, v') = f !r w v in
r := accu;
if v == v' then incr i
else begin
break := false;
temp := Some v';
end
done;
if !i < len then begin
let ans : 'a array = Array.copy ar in
let v = match !temp with None -> assert false | Some x -> x in
Array.unsafe_set ans !i v;
incr i;
while !i < len do
let v = Array.unsafe_get ar !i in
let w = Array.unsafe_get aux_ar !i in
let (accu, v') = f !r w v in
r := accu;
if v != v' then Array.unsafe_set ans !i v';
incr i
done;
!r, ans
end else !r, ar
end
module Fun1 =
struct
let map f arg v = match v with
| [| |] -> [| |]
| _ ->
let len = Array.length v in
let x0 = Array.unsafe_get v 0 in
let ans = Array.make len (f arg x0) in
for i = 1 to pred len do
let x = Array.unsafe_get v i in
Array.unsafe_set ans i (f arg x)
done;
ans
let iter f arg v =
let len = Array.length v in
for i = 0 to pred len do
let x = uget v i in
f arg x
done
let iter2 f arg v1 v2 =
let len1 = Array.length v1 in
let len2 = Array.length v2 in
let () = if not (Int.equal len2 len1) then invalid_arg "Array.Fun1.iter2" in
for i = 0 to pred len1 do
let x1 = uget v1 i in
let x2 = uget v2 i in
f arg x1 x2
done
module Smart =
struct
let map f arg (ar : 'a array) =
let len = Array.length ar in
let i = ref 0 in
let break = ref true in
let temp = ref None in
while !break && (!i < len) do
let v = Array.unsafe_get ar !i in
let v' = f arg v in
if v == v' then incr i
else begin
break := false;
temp := Some v';
end
done;
if !i < len then begin
(* The array is not the same as the original one *)
let ans : 'a array = Array.copy ar in
let v = match !temp with None -> assert false | Some x -> x in
Array.unsafe_set ans !i v;
incr i;
while !i < len do
let v = Array.unsafe_get ans !i in
let v' = f arg v in
if v != v' then Array.unsafe_set ans !i v';
incr i
done;
ans
end else ar
end
end
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