Module Array
structure Array = struct ... end
Array operations.
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
.
Raise Invalid_argument "Array.get"
if n
is outside the range
0 to (Array.length a - 1)
.
You can also write a.(n)
instead of Array.get a n
.
val set : 'a array -> int -> 'a -> unit
Array.set a n x
modifies array a
in place, replacing
element number n
with x
.
Raise Invalid_argument "Array.set"
if n
is outside the range
0 to Array.length a - 1
.
You can also write a.(n) <- x
instead of Array.set a n x
.
val make (create): 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 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
.
val make_matrix (create_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 less than 1 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 append : 'a array -> 'a array -> 'a array
Array.append v1 v2
returns a fresh array containing the
concatenation of the arrays v1
and v2
.
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 "Array.sub"
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 "Array.fill"
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 "Array.blit"
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
.
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 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 iteri : (int -> 'a -> unit) -> 'a array -> unit
Same as
Array.iter
, but the
function is applied to the index of the element as first argument,
and the element itself as second argument.
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 : ('a -> 'b -> 'b) -> 'a array -> 'b -> 'b
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
.
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. For example,
the
Pervasives.compare
function 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 logarithmic stack space.
The current implementation uses Heap Sort. It runs in constant
stack space.
val stable_sort : ('a -> 'a -> int) -> 'a array -> unit
Same as
Array.sort
, but the sorting algorithm is stable and
not guaranteed to use a fixed amount of heap memory.
The current implementation is Merge Sort. It uses
n/2
words of heap space, where
n
is the length of the array.
It is faster than the current implementation of
Array.sort
.