Imported Upstream version 8.5~beta1+dfsg

1 files changed, 528 insertions, 0 deletions

diff --git a/lib/cArray.ml b/lib/cArray.ml
new file mode 100644
index 00000000..16034543
--- /dev/null
+++ b/lib/cArray.ml
@@ -0,0 +1,528 @@
+(***********************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)
+(* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
+(*   \VV/  *************************************************************)
+(*    //   *      This file is distributed under the terms of the      *)
+(*         *       GNU Lesser General Public License Version 2.1       *)
+(***********************************************************************)
+
+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 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_map' : ('a -> 'c -> 'b * 'c) -> 'a array -> 'c -> 'b array * 'c
+  val fold_map : ('a -> 'b -> 'a * 'c) -> 'a -> 'b array -> 'a * 'c array
+  val fold_map2' :
+    ('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
+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 cmp t1 t2 =
+  if t1 == t2 then true else
+    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 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 f v =
+  List.map f (Array.to_list v)
+
+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 ar !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_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 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_map2' 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 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 ar !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