From 9043add656177eeac1491a73d2f3ab92bec0013c Mon Sep 17 00:00:00 2001 From: Benjamin Barenblat Date: Sat, 29 Dec 2018 14:31:27 -0500 Subject: Imported Upstream version 8.8.2 --- clib/cArray.ml | 550 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 550 insertions(+) create mode 100644 clib/cArray.ml (limited to 'clib/cArray.ml') diff --git a/clib/cArray.ml b/clib/cArray.ml new file mode 100644 index 00000000..e2b1a7be --- /dev/null +++ b/clib/cArray.ml @@ -0,0 +1,550 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* '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 exists : ('a -> bool) -> 'a array -> bool + val exists2 : ('a -> 'b -> bool) -> 'a array -> 'b array -> bool + val for_all : ('a -> bool) -> 'a 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_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_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 smartmap : ('a -> 'a) -> 'a array -> 'a array + val smartfoldmap : ('r -> 'a -> 'r * 'a) -> 'r -> 'a array -> 'r * 'a array + val map2 : ('a -> 'b -> 'c) -> 'a array -> 'b array -> 'c 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 map_left : ('a -> 'b) -> 'a array -> 'b array + val iter2 : ('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_right2_map : ('a -> 'b -> 'c -> 'd * 'c) -> 'a array -> 'b array -> 'c -> 'd array * 'c + val fold_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b array -> 'a * 'c array + [@@ocaml.deprecated "Same as [fold_left_map]"] + val fold_map' : ('a -> 'c -> 'b * 'c) -> 'a array -> 'c -> 'b array * 'c + [@@ocaml.deprecated "Same as [fold_right_map]"] + val fold_map2' : + ('a -> 'b -> 'c -> 'd * 'c) -> 'a array -> 'b array -> 'c -> 'd array * 'c + [@@ocaml.deprecated "Same as [fold_right2_map]"] + 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 +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 exists f v = + let rec exrec = function + | -1 -> false + | n -> f (uget v n) || (exrec (n-1)) + in + exrec ((Array.length v)-1) + +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_all f v = + let rec allrec = function + | -1 -> true + | n -> + let ans = f (uget v n) in + ans && (allrec (n-1)) + in + allrec ((Array.length v)-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"; + fold a 0 + +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_left2"; + 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)) + +(* 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 smartmap 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 [smartmap] but threads a state meanwhile *) +let smartfoldmap 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 + +let map2 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 (uget v1 0) (uget v2 0)) in + for i = 1 to pred len1 do + Array.unsafe_set res i (f (uget v1 i) (uget v2 i)) + done; + res + end + +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 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 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 (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_map' = fold_right_map + +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_map = fold_left_map + +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_map2' = fold_right2_map + +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 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 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 smartmap 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 + + 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 + +end -- cgit v1.2.3