Library
Module
Module type
Parameter
Class
Class type
Vectors (aka resizable arrays, growing arrays, dynamic arrays, etc.)
This module implements arrays that automatically expand as necessary. Its implementation uses a traditional array and replaces it with a larger array when needed (and elements are copied from the old array to the new one). The current implementation doubles the capacity when growing the array (and shrinks it whenever the number of elements comes to one fourth of the capacity).
The unused part of the internal array is filled with a dummy value, which is user-provided at creation time (and referred to below as ``the dummy value''). Consequently, vectors do not retain pointers to values that are not used anymore after a shrinking.
Vectors provide an efficient implementation of stacks, with a better locality of reference than list-based implementations (such as standard library Stack
). A stack interface is provided, similar to that of Stack
(though Vector.push
have arguments in the other way round). Inserting n
elements with Vector.push
has overall complexity O(n) i.e. each insertion has amortized constant time complexity.
Array
val make : int -> dummy:'a -> 'a t
Vector.make n dummy
returns a fresh vector of length n
. All the elements of this new vector are initially physically equal to dummy
(in the sense of the ==
predicate).
Raise Invalid_argument
if n < 0
or n > Sys.max_array_length
. If the value of dummy
is a floating-point number, then the maximum size is only Sys.max_array_length / 2
.
val create : dummy:'a -> 'a t
Vector.create dummy
returns a fresh vector of length 0
.
val init : int -> dummy:'a -> (int -> 'a) -> 'a t
Vector.init n f
returns a fresh vector of length n
, with element number i
initialized to the result of f i
. In other terms, Vector.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 resize : 'a t -> int -> unit
Vector.resize a n
sets the length of vector a
to n
.
The elements that are no longer part of the vector, if any, are internally replaced by the dummy value of vector a
, so that they can be garbage collected when possible.
Raise Invalid_argument
if n < 0
or n > Sys.max_array_length
.
Contrary to standard library's Stack
, module Vector
uses less space (between N and 2N words, instead of 3N) and has better data locality.
val push : 'a t -> 'a -> unit
Vector.push a x
appends x
at the end of vector a
, i.e., increases the size of a
by one and stores x
at the rightmost position.
Note: the order of the arguments is not that of Stack.push
.
Raised when Vector.pop
or Vector.top
is applied to an empty vector.
val pop : 'a t -> 'a
Vector.pop a
removes and returns the rightmost element in vector a
, or raises Empty
if the stack is empty.
val top : 'a t -> 'a
Vector.top a
returns the rightmost element in vector a
, or raises Empty
if the vector is empty.
val clear : 'a t -> unit
Discard all elements from a vector. This is equivalent to setting the size to 0 with resize
.
val is_empty : 'a t -> bool
Return true
if the given vector is empty, false
otherwise.
val length : 'a t -> int
Return the length (number of elements) of the given vector. Note: the number of memory words occupiedby the vector can be larger.
val get : 'a t -> int -> 'a
Vector.get a n
returns the element number n
of vector a
. The first element has number 0
. The last element has number Vector.length a - 1
.
Raise Invalid_argument "Vector.get"
if n
is outside the range 0
to Vector.length a - 1
.
val set : 'a t -> int -> 'a -> unit
Vector.set a n x
modifies vector a
in place, replacing element number n
with x
.
Raise Invalid_argument "Vector.set"
if n
is outside the range 0 to Vector.length a - 1
.
Vector.append a1 a2
appends the elements of vector a2
to the end of vector a1
. It works correctly even if a1
and a2
are the same vector.
Vector.sub a start len
returns a fresh vector of length len
, containing the elements number start
to start + len - 1
of vector a
.
Vector.copy a
returns a copy of a
, that is, a fresh vector containing the same elements as a
.
val fill : 'a t -> int -> int -> 'a -> unit
Vector.fill a ofs len x
modifies the vector a
in place, storing x
in elements number ofs
to ofs + len - 1
.
Raise Invalid_argument "Vector.fill"
if ofs
and len
do not designate a valid subvector of a
.
Vector.blit v1 o1 v2 o2 len
copies len
elements from vector v1
, starting at element number o1
, to vector v2
, starting at element number o2
. It works correctly even if v1
and v2
are the same vector, and the source and destination chunks overlap.
Raise Invalid_argument "Vector.blit"
if o1
and len
do not designate a valid subvector of v1
, or if o2
and len
do not designate a valid subvector of v2
.
val to_list : 'a t -> 'a list
Vector.to_list a
returns the list of all the elements of a
.
val of_list : dummy:'a -> 'a list -> 'a t
Vector.of_list dummy l
returns a fresh vector containing the elements of l
.
val to_array : 'a t -> 'a array
Vector.to_array a
returns the array of all the elements of a
.
val of_array : dummy:'a -> 'a array -> 'a t
Vector.of_array dummy a
returns a fresh vector containing the elements of a
.
val iter : ('a -> unit) -> 'a t -> unit
Vector.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 (Vector.length a - 1))
.
Vector.map f a
applies function f
to all the elements of a
, and builds a fresh vector with the results returned by f
.
Note: the dummy value of the returned vector is obtained by applying f
to the dummy value of a
. If this is not what you want, first create a new vector and then fill it with the value f (get a 0)
, f (get a 1)
, etc.
val iteri : (int -> 'a -> unit) -> 'a t -> unit
Same as Vector.iter
, but the function is applied to the index of the element as first argument, and the element itself as second argument.
Same as Vector.map
, but the function is applied to the index of the element as first argument, and the element itself as second argument.
Note: the dummy value of the returned vector is obtained by applying f 0
to the dummy value of a
.
val fold_left : ('a -> 'b -> 'a) -> 'a -> 'b t -> 'a
Vector.fold_left 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 vector a
.
val fold_right : ('b -> 'a -> 'a) -> 'b t -> 'a -> 'a
Vector.fold_right f a x
computes f (get a 0) (f (get a 1) ( ... (f (get a (n-1)) x) ...))
, where n
is the length of the vector a
.
val unsafe_get : 'a t -> int -> 'a
val unsafe_set : 'a t -> int -> 'a -> unit