Module `Caml.Array`

type 'a t = 'a array: An alias for the type of arrays.

val length : 'a array -> int: Return the length (number of elements) of the given array.

val get : 'a array -> int -> 'a

Array.get a n returns the element number n of array a. The first element has number 0. The last element has number Array.length a - 1. You can also write a.(n) instead of Array.get a n.

Raise Invalid_argument if n is outside the range 0 to (Array.length a - 1).

val set : 'a array -> int -> 'a -> unit

Array.set a n x modifies array a in place, replacing element number n with x. You can also write a.(n) <- x instead of Array.set a n x.

Raise Invalid_argument if n is outside the range 0 to Array.length a - 1.

val make : int -> 'a -> 'a array

Array.make n x returns a fresh array of length n, initialized with x. All the elements of this new array are initially physically equal to x (in the sense of the == predicate). Consequently, if x is mutable, it is shared among all elements of the array, and modifying x through one of the array entries will modify all other entries at the same time.

Raise Invalid_argument if n < 0 or n > Sys.max_array_length. If the value of x is a floating-point number, then the maximum size is only Sys.max_array_length / 2.

val create : int -> 'a -> 'a array

deprecated: Array.create is an alias for Array.make.

val create_float : int -> float array

Array.create_float n returns a fresh float array of length n, with uninitialized data.

since: 4.03

val make_float : int -> float array

deprecated: Array.make_float is an alias for Array.create_float.

val init : int -> (int -> 'a) -> 'a array

Array.init n f returns a fresh array of length n, with element number i initialized to the result of f i. In other terms, Array.init n f tabulates the results of f applied to the integers 0 to n-1.

Raise Invalid_argument if n < 0 or n > Sys.max_array_length. If the return type of f is float, then the maximum size is only Sys.max_array_length / 2.

val make_matrix : int -> int -> 'a -> 'a array array

Array.make_matrix dimx dimy e returns a two-dimensional array (an array of arrays) with first dimension dimx and second dimension dimy. All the elements of this new matrix are initially physically equal to e. The element (x,y) of a matrix m is accessed with the notation m.(x).(y).

Raise Invalid_argument if dimx or dimy is negative or greater than Sys.max_array_length. If the value of e is a floating-point number, then the maximum size is only Sys.max_array_length / 2.

val create_matrix : int -> int -> 'a -> 'a array array

deprecated: Array.create_matrix is an alias for Array.make_matrix.

val append : 'a array -> 'a array -> 'a array

Array.append v1 v2 returns a fresh array containing the concatenation of the arrays v1 and v2.

Raise Invalid_argument if Array.length v1 + Array.length v2 > Sys.max_array_length.

val concat : 'a array list -> 'a array: Same as Array.append, but concatenates a list of arrays.

val sub : 'a array -> int -> int -> 'a array

Array.sub a start len returns a fresh array of length len, containing the elements number start to start + len - 1 of array a.

Raise Invalid_argument if start and len do not designate a valid subarray of a; that is, if start < 0, or len < 0, or start + len > Array.length a.

val copy : 'a array -> 'a array: Array.copy a returns a copy of a, that is, a fresh array containing the same elements as a.

val fill : 'a array -> int -> int -> 'a -> unit

Array.fill a ofs len x modifies the array a in place, storing x in elements number ofs to ofs + len - 1.

Raise Invalid_argument if ofs and len do not designate a valid subarray of a.

val blit : 'a array -> int -> 'a array -> int -> int -> unit

Array.blit v1 o1 v2 o2 len copies len elements from array v1, starting at element number o1, to array v2, starting at element number o2. It works correctly even if v1 and v2 are the same array, and the source and destination chunks overlap.

Raise Invalid_argument if o1 and len do not designate a valid subarray of v1, or if o2 and len do not designate a valid subarray of v2.

val to_list : 'a array -> 'a list: Array.to_list a returns the list of all the elements of a.

val of_list : 'a list -> 'a array

Array.of_list l returns a fresh array containing the elements of l.

Raise Invalid_argument if the length of l is greater than Sys.max_array_length.

Iterators

val iter : ('a -> unit) -> 'a array -> unit: Array.iter f a applies function f in turn to all the elements of a. It is equivalent to f a.(0); f a.(1); ...; f a.(Array.length a - 1); ().

val iteri : (int -> 'a -> unit) -> 'a array -> unit: Same as Array.iter, but the function is applied with the index of the element as first argument, and the element itself as second argument.

val map : ('a -> 'b) -> 'a array -> 'b array: Array.map f a applies function f to all the elements of a, and builds an array with the results returned by f: [| f a.(0); f a.(1); ...; f a.(Array.length a - 1) |].

val mapi : (int -> 'a -> 'b) -> 'a array -> 'b array: Same as Array.map, but the function is applied to the index of the element as first argument, and the element itself as second argument.

val fold_left : ('a -> 'b -> 'a) -> 'a -> 'b array -> 'a: Array.fold_left f x a computes f (... (f (f x a.(0)) a.(1)) ...) a.(n-1), where n is the length of the array a.

val fold_right : ('b -> 'a -> 'a) -> 'b array -> 'a -> 'a: Array.fold_right f a x computes f a.(0) (f a.(1) ( ... (f a.(n-1) x) ...)), where n is the length of the array a.

Iterators on two arrays

val iter2 : ('a -> 'b -> unit) -> 'a array -> 'b array -> unit

Array.iter2 f a b applies function f to all the elements of a and b. Raise Invalid_argument if the arrays are not the same size.

since: 4.03.0

val map2 : ('a -> 'b -> 'c) -> 'a array -> 'b array -> 'c array

Array.map2 f a b applies function f to all the elements of a and b, and builds an array with the results returned by f: [| f a.(0) b.(0); ...; f a.(Array.length a - 1) b.(Array.length b - 1)|]. Raise Invalid_argument if the arrays are not the same size.

since: 4.03.0

Array scanning

val for_all : ('a -> bool) -> 'a array -> bool

Array.for_all p [|a1; ...; an|] checks if all elements of the array satisfy the predicate p. That is, it returns (p a1) && (p a2) && ... && (p an).

since: 4.03.0

val exists : ('a -> bool) -> 'a array -> bool

Array.exists p [|a1; ...; an|] checks if at least one element of the array satisfies the predicate p. That is, it returns (p a1) || (p a2) || ... || (p an).

since: 4.03.0

val mem : 'a -> 'a array -> bool

mem a l is true if and only if a is structurally equal to an element of l (i.e. there is an x in l such that compare a x = 0).

since: 4.03.0

val memq : 'a -> 'a array -> bool

Same as Array.mem, but uses physical equality instead of structural equality to compare elements.

since: 4.03.0

Sorting

val sort : ('a -> 'a -> int) -> 'a array -> unit

Sort an array in increasing order according to a comparison function. The comparison function must return 0 if its arguments compare as equal, a positive integer if the first is greater, and a negative integer if the first is smaller (see below for a complete specification). For example, Stdlib.compare is a suitable comparison function. After calling Array.sort, the array is sorted in place in increasing order. Array.sort is guaranteed to run in constant heap space and (at most) logarithmic stack space.

The current implementation uses Heap Sort. It runs in constant stack space.

Specification of the comparison function: Let a be the array and cmp the comparison function. The following must be true for all x, y, z in a :

cmp x y > 0 if and only if cmp y x < 0
if cmp x y >= 0 and cmp y z >= 0 then cmp x z >= 0

When Array.sort returns, a contains the same elements as before, reordered in such a way that for all i and j valid indices of a :

cmp a.(i) a.(j) >= 0 if and only if i >= j

val stable_sort : ('a -> 'a -> int) -> 'a array -> unit

Same as Array.sort, but the sorting algorithm is stable (i.e. elements that compare equal are kept in their original order) and not guaranteed to run in constant heap space.

The current implementation uses Merge Sort. It uses a temporary array of length n/2, where n is the length of the array. It is usually faster than the current implementation of Array.sort.

val fast_sort : ('a -> 'a -> int) -> 'a array -> unit: Same as Array.sort or Array.stable_sort, whichever is faster on typical input.

Iterators

val to_seq : 'a array -> 'a Seq.t

Iterate on the array, in increasing order. Modifications of the array during iteration will be reflected in the iterator.

since: 4.07

val to_seqi : 'a array -> (int * 'a) Seq.t

Iterate on the array, in increasing order, yielding indices along elements. Modifications of the array during iteration will be reflected in the iterator.

since: 4.07

val of_seq : 'a Seq.t -> 'a array

Create an array from the generator

since: 4.07