Library
Module
Module type
Parameter
Class
Class type
Flexible arrays.
Flexible arrays are arrays whose size can be changed by adding or removing elements at either end (one at a time).
This is an implementation of flexible arrays using Braun trees, following
Rob Hoogerwoord A logarithmic implementation of flexible arrays http://alexandria.tue.nl/repository/notdare/772185.pdf
All operations (get
, set
, cons
, tail
, snoc
, liat
) have logarithmic time complexity and logarithmic stack space.
The type of flexible arrays. This is an immutable data structure. Values of type 'a t
can be compared using structural equality =
(provided the elements of type 'a
can).
val empty : 'a t
val make : int -> 'a -> 'a t
make n v
returns a flexible array of size n
, initialized with v
. All the elements of this new array are physically equal to v
(in the sense of the ==
predicate). Time complexity O(log n).
val init : int -> (int -> 'a) -> 'a t
init n f
returns a flexible array of size n
, with elements f 0, f 1, ..., f (n-1)
. Time complexity O(n). Caveat: function f
is applied only once per index, but not in increasing order of indices.
val of_array : 'a array -> 'a t
of_array a
returns a flexible array of size List.length l
, with the elements of l
in order. Time complexity O(n). Merely a shortcut built over init
.
val of_list : 'a list -> 'a t
of_list l
returns a flexible array of size List.length l
, with the elements of l
in order. Time complexity O(n). Logarithmic stack space.
val length : 'a t -> int
Time complexity O(1).
val get : 'a t -> int -> 'a
get a i
returns the element at index i
in array a
. The first element has index 0. Raises Invalid_argument
if i
is outside the range 0 to length a - 1
.
set a i v
returns a new array with all elements are identical to those of a
, except at index i
where the element is v
. Raises Invalid_argument
if i
is outside the range 0 to length a - 1
.
cons v a
returns a new array obtained by appending the value v
at the front of array a
.
tail a
returns a new array obtained by removing the value at the front of array a
. Raises Invalid_argument
if a
has length 0.
snoc v a
returns a new array obtained by appending the value v
at the end of array a
.
liat a
returns a new array obtained by removing the value at the end of array a
. Raises Invalid_argument
if a
has length 0.
val iter : ('a -> unit) -> 'a t -> unit
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 (n - 1); ()
where n
is the length of the array a
, but runs faster. Time complexity O(n). Space complexity O(n). Constant stack space.
val iteri : (int -> 'a -> unit) -> 'a t -> unit
Same as iter
, but the function is applied with the index of the element as first argument, and the element itself as second argument.
val fold : ('a -> 'b -> 'a) -> 'a -> 'b t -> 'a
fold f x a
computes f (... (f (f x (get a 0)) (get a 1)) ...) (get a (n-1))
, where n
is the length of the array a
, but runs faster. Time complexity O(n). Space complexity O(n). Constant stack space.