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Module Stdlib_stable.IarraySource

Operations on immutable arrays. This module mirrors the API of Array, but omits functions that assume mutability; in addition to obviously mutating functions, it omits copy along with the functions make, create_float, and make_matrix that produce all-constant arrays. The exception is the sorting functions, which are given a copying API to replace the in-place one.

Sourcetype +'a t = 'a iarray

An alias for the type of immutable arrays.

Sourceval length : ('a : any mod separable). 'a iarray @ local -> int @@ portable

Return the length (number of elements) of the given immutable array.

Sourceval get : ('a : any mod separable). 'a iarray -> int -> 'a @@ portable

get a n returns the element number n of immutable array a. The first element has number 0. The last element has number length a - 1.

Sourceval init : int -> (int -> 'a) @ local -> 'a iarray @@ portable

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

  • raises 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.

Sourceval append : ('a : value_or_null mod separable). 'a iarray -> 'a iarray -> 'a iarray @@ portable

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

Sourceval concat : ('a : value_or_null mod separable). 'a iarray list -> 'a iarray @@ portable

Same as append, but concatenates a list of immutable arrays.

Sourceval sub : ('a : value_or_null mod separable). 'a iarray -> pos:int -> len:int -> 'a iarray @@ portable

sub a pos len returns a fresh immutable array of length len, containing the elements number pos to pos + len - 1 of immutable array a. This creates a copy of the selected portion of the immutable array.

  • raises Invalid_argument

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

Sourceval to_list : ('a : value_or_null mod separable). 'a iarray -> 'a list @@ portable

to_list a returns the list of all the elements of a.

Sourceval of_list : ('a : value_or_null mod separable). 'a list -> 'a iarray @@ portable

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

  • raises Invalid_argument

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

Converting to and from mutable arrays

Sourceval to_array : ('a : value_or_null mod separable). 'a iarray -> 'a array @@ portable

to_array a returns a mutable copy of the immutable array a; that is, a fresh (mutable) array containing the same elements as a

Sourceval of_array : ('a : value_or_null mod separable). 'a array -> 'a iarray @@ portable

of_array ma returns an immutable copy of the mutable array ma; that is, a fresh immutable array containing the same elements as ma

Iterators

Sourceval iter : ('a : value_or_null mod separable). ('a -> unit) @ local -> 'a iarray -> unit @@ portable

iter f a applies function f in turn to all the elements of a. It is equivalent to f (get a 0); f (get a 1); ...; f (get a (length a - 1)); ().

Sourceval iteri : ('a : value_or_null mod separable). (int -> ('a -> unit) @ local) @ local -> 'a iarray -> unit @@ portable

Same as iter, but the function is applied to the index of the element as first argument, and the element itself as second argument.

Sourceval map : ('a : value_or_null mod separable) ('b : value_or_null mod separable). ('a -> 'b) @ local -> 'a iarray -> 'b iarray @@ portable

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

Sourceval mapi : ('a : value_or_null mod separable) ('b : value_or_null mod separable). (int -> ('a -> 'b) @ local) @ local -> 'a iarray -> 'b iarray @@ portable

Same as map, but the function is applied to the index of the element as first argument, and the element itself as second argument.

Sourceval fold_left : ('a : value_or_null) ('b : value_or_null mod separable). ('a -> ('b -> 'a) @ local) @ local -> 'a -> 'b iarray -> 'a @@ portable

fold_left f init a computes f (... (f (f init (get a 0)) (get a 1)) ...) (get a n-1), where n is the length of the immutable array a.

Sourceval fold_left_map : ('a : value_or_null) ('b : value_or_null mod separable) ('c : value_or_null mod separable). ('a -> ('b -> 'a * 'c) @ local) @ local -> 'a -> 'b iarray -> 'a * 'c iarray @@ portable

fold_left_map is a combination of fold_left and map that threads an accumulator through calls to f.

Sourceval fold_right : ('a : value_or_null) ('b : value_or_null mod separable). ('b -> ('a -> 'a) @ local) @ local -> 'b iarray -> 'a -> 'a @@ portable

fold_right f a init computes f a.:(0) (f a.:(1) ( ... (f a.:(n-1) init) ...)), where n is the length of the immutable array a.

Iterators on two arrays

Sourceval iter2 : ('a : value_or_null mod separable) ('b : value_or_null mod separable). ('a -> ('b -> unit) @ local) @ local -> 'a iarray -> 'b iarray -> unit @@ portable

iter2 f a b applies function f to all the elements of a and b.

Sourceval map2 : ('a : value_or_null mod separable) ('b : value_or_null mod separable) ('c : value_or_null mod separable). ('a -> ('b -> 'c) @ local) @ local -> 'a iarray -> 'b iarray -> 'c iarray @@ portable

map2 f a b applies function f to all the elements of a and b, and builds an immutable array with the results returned by f: [| f (get a 0) (get b 0); ...; f (get a (length a - 1)) (get b (length b - 1))|].

Array scanning

Sourceval for_all : ('a : value_or_null mod separable). ('a -> bool) @ local -> 'a iarray -> bool @@ portable

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

Sourceval exists : ('a : value_or_null mod separable). ('a -> bool) @ local -> 'a iarray -> bool @@ portable

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

Sourceval for_all2 : ('a : value_or_null mod separable) ('b : value_or_null mod separable). ('a -> ('b -> bool) @ local) @ local -> 'a iarray -> 'b iarray -> bool @@ portable

Same as for_all, but for a two-argument predicate.

Sourceval exists2 : ('a : value_or_null mod separable) ('b : value_or_null mod separable). ('a -> ('b -> bool) @ local) @ local -> 'a iarray -> 'b iarray -> bool @@ portable

Same as exists, but for a two-argument predicate.

Sourceval mem : ('a : value_or_null mod separable). 'a @ local -> 'a iarray @ local -> bool @@ portable

mem a set 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).

Sourceval memq : ('a : value_or_null mod separable). 'a @ local -> 'a iarray @ local -> bool @@ portable

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

Sourceval find_opt : ('a : value_or_null mod separable). ('a -> bool) @ local -> 'a iarray -> 'a option @@ portable

find_opt ~f a returns the first element of the immutable array a that satisfies the predicate f, or None if there is no value that satisfies f in the array a.

Sourceval find_map : ('a : value_or_null mod separable) ('b : value_or_null). ('a -> 'b option) @ local -> 'a iarray -> 'b option @@ portable

find_map ~f a applies f to the elements of a in order, and returns the first result of the form Some v, or None if none exist.

Arrays of pairs

Sourceval split : ('a : value_or_null mod separable) ('b : value_or_null mod separable). ('a * 'b) iarray -> 'a iarray * 'b iarray @@ portable

split [:(a1,b1); ...; (an,bn):] is ([:a1; ...; an:], [:b1; ...; bn:]).

Sourceval combine : ('a : value_or_null mod separable) ('b : value_or_null mod separable). 'a iarray -> 'b iarray -> ('a * 'b) iarray @@ portable

combine [:a1; ...; an:] [:b1; ...; bn:] is [:(a1,b1); ...; (an,bn):]. Raise Invalid_argument if the two immutable iarrays have different lengths.

Sorting

Sourceval sort : ('a : value_or_null mod separable). ('a -> 'a -> int) -> 'a iarray -> 'a iarray @@ portable

Sort an immutable 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. The result of calling sort is a fresh immutable array containing the same elements as the original sorted in increasing order. Other than this fresh 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 immutable 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

The result of sort, which we'll call a', contains the same elements as a, reordered in such a way that for all i and j valid indices of a (or equivalently, of a'):

  • cmp (get a' i) (get a' j) >= 0 if and only if i >= j
Sourceval stable_sort : ('a : value_or_null mod separable). ('a -> 'a -> int) -> 'a iarray -> 'a iarray @@ portable

Same as 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 immutable array. It is usually faster than the current implementation of sort.

Sourceval fast_sort : ('a : value_or_null mod separable). ('a -> 'a -> int) -> 'a iarray -> 'a iarray @@ portable

Same as sort or stable_sort, whichever is faster on typical input.

Iterators

Sourceval to_seq : ('a : value_or_null mod separable). 'a iarray -> 'a Seq.t @@ portable

Iterate on the immutable array, in increasing order.

Sourceval to_seqi : ('a : value_or_null mod separable). 'a iarray -> (int * 'a) Seq.t @@ portable

Iterate on the immutable array, in increasing order, yielding indices along elements.

Sourceval of_seq : ('a : value_or_null mod separable). 'a Seq.t -> 'a iarray @@ portable

Create an immutable array from the generator