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CCArray.lookup for divide-and-conquer search
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2 changed files with 67 additions and 0 deletions
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@ -68,6 +68,15 @@ module type S = sig
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(** [find f a] returns [Some y] if there is an element [x] such
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that [f x = Some y], else it returns [None] *)
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val lookup : ?cmp:'a ord -> 'a -> 'a t -> int option
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(** Lookup the index of some value in a sorted array.
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@return [None] if the key is not present, or
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[Some i] ([i] the index of the key) otherwise *)
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val lookup_exn : ?cmp:'a ord -> 'a -> 'a t -> int
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(** Same as {!lookup_exn}, but
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@raise Not_found if the key is not present *)
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val for_all : ('a -> bool) -> 'a t -> bool
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val for_all2 : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
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@ -155,6 +164,31 @@ let rec _find f a i j =
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| Some _ as res -> res
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| None -> _find f a (i+1) j
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let rec _lookup_rec ~cmp k a i j =
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if i>j then raise Not_found
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else if i=j
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then if cmp k a.(i) = 0
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then i
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else raise Not_found
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else
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let middle = (j+i)/2 in
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match cmp k a.(middle) with
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| 0 -> middle
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| n when n<0 -> _lookup_rec ~cmp k a i (middle-1)
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| _ -> _lookup_rec ~cmp k a (middle+1) j
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let _lookup_exn ~cmp k a i j =
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if i>j then raise Not_found;
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match cmp k a.(i) with
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| 0 -> i
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| n when n<0 -> raise Not_found (* too low *)
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| _ when i=j -> raise Not_found (* too high *)
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| _ ->
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match cmp k a.(j) with
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| 0 -> j
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| n when n<0 -> _lookup_rec ~cmp k a (i+1) (j-1)
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| _ -> raise Not_found (* too high *)
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let rec _for_all p a i j =
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i = j || (p a.(i) && _for_all p a (i+1) j)
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@ -307,6 +341,23 @@ let flat_map f a =
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a' = [| 1; 2; 3; 4; 5; 6 |]
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*)
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let lookup_exn ?(cmp=Pervasives.compare) k a =
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_lookup_exn ~cmp k a 0 (Array.length a-1)
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let lookup ?(cmp=Pervasives.compare) k a =
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try Some (_lookup_exn ~cmp k a 0 (Array.length a-1))
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with Not_found -> None
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(*$T
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lookup 2 [|0;1;2;3;4;5|] = Some 2
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lookup 4 [|0;1;2;3;4;5|] = Some 4
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lookup 0 [|1;2;3;4;5|] = None
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lookup 6 [|1;2;3;4;5|] = None
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lookup 3 [| |] = None
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lookup 1 [| 1 |] = Some 0
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lookup 2 [| 1 |] = None
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*)
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let (>>=) a f = flat_map f a
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let for_all p a = _for_all p a 0 (Array.length a)
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@ -445,6 +496,13 @@ module Sub = struct
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let find f a = _find f a.arr a.i a.j
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let lookup_exn ?(cmp=Pervasives.compare) k a =
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_lookup_exn ~cmp k a.arr a.i (a.j-1)
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let lookup ?(cmp=Pervasives.compare) k a =
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try Some (_lookup_exn ~cmp k a.arr a.i (a.j-1))
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with Not_found -> None
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let for_all p a = _for_all p a.arr a.i a.j
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let exists p a = _exists p a.arr a.i a.j
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@ -70,6 +70,15 @@ module type S = sig
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(** [find f a] returns [Some y] if there is an element [x] such
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that [f x = Some y], else it returns [None] *)
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val lookup : ?cmp:'a ord -> 'a -> 'a t -> int option
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(** Lookup the index of some value in a sorted array.
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@return [None] if the key is not present, or
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[Some i] ([i] the index of the key) otherwise *)
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val lookup_exn : ?cmp:'a ord -> 'a -> 'a t -> int
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(** Same as {!lookup_exn}, but
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@raise Not_found if the key is not present *)
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val for_all : ('a -> bool) -> 'a t -> bool
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val for_all2 : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
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