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Array(3)			 OCaml library			      Array(3)

NAME
       Array - Array operations.

Module
       Module	Array

Documentation
       Module Array
	: sig 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 ele‐
       ment 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 index out of bounds 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 index out of bounds 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 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 .

       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 ele‐
       ments 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 subar‐
       ray 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 : ('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 .

       === 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 inte‐
       ger  if	the first is smaller (see below for a complete specification).
       For example, Pervasives.compare is a suitable comparison function, pro‐
       vided  there are no floating-point NaN values in the data.  After call‐
       ing 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.	  ele‐
       ments  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 n/2 words  of  heap
       space,  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	 typi‐
       cal input.

OCamldoc			  2013-10-24			      Array(3)
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