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NAME

       array - Functional, extendible arrays.

DESCRIPTION

       Functional, extendible arrays. Arrays can have fixed size, or can grow automatically as needed. A default
       value is used for entries that have not been explicitly set.

       Arrays uses zero based indexing. This is a  deliberate  design  choice  and  differs  from  other  erlang
       datastructures, e.g. tuples.

       Unless specified by the user when the array is created, the default value is the atom undefined. There is
       no difference between an unset entry and an entry which has been explicitly set to the same value as  the
       default one (cf. reset/2). If you need to differentiate between unset and set entries, you must make sure
       that the default value cannot be confused with the values of set entries.

       The array never shrinks automatically; if an index I has been used successfully  to  set  an  entry,  all
       indices  in  the  range [0,I] will stay accessible unless the array size is explicitly changed by calling
       resize/2.

       Examples:

         %% Create a fixed-size array with entries 0-9 set to 'undefined'
         A0 = array:new(10).
         10 = array:size(A0).

         %% Create an extendible array and set entry 17 to 'true',
         %% causing the array to grow automatically
         A1 = array:set(17, true, array:new()).
         18 = array:size(A1).

         %% Read back a stored value
         true = array:get(17, A1).

         %% Accessing an unset entry returns the default value
         undefined = array:get(3, A1).

         %% Accessing an entry beyond the last set entry also returns the
         %% default value, if the array does not have fixed size
         undefined = array:get(18, A1).

         %% "sparse" functions ignore default-valued entries
         A2 = array:set(4, false, A1).
         [{4, false}, {17, true}] = array:sparse_to_orddict(A2).

         %% An extendible array can be made fixed-size later
         A3 = array:fix(A2).

         %% A fixed-size array does not grow automatically and does not
         %% allow accesses beyond the last set entry
         {'EXIT',{badarg,_}} = (catch array:set(18, true, A3)).
         {'EXIT',{badarg,_}} = (catch array:get(18, A3)).

DATA TYPES

       array()

              A functional, extendible array. The representation is not documented  and  is  subject  to  change
              without notice. Note that arrays cannot be directly compared for equality.

       array_indx() = integer() >= 0

       array_opts() = array_opt() | [array_opt()]

       array_opt() = {fixed, boolean()}
                   | fixed
                   | {default, Value :: term()}
                   | {size, N :: integer() >= 0}
                   | (N :: integer() >= 0)

       indx_pairs() = [indx_pair()]

       indx_pair() = {Index :: array_indx(), Value :: term()}

EXPORTS

       default(Array :: array()) -> term()

              Get the value used for uninitialized entries.

              See also: new/2.

       fix(Array :: array()) -> array()

              Fix  the  size  of the array. This prevents it from growing automatically upon insertion; see also
              set/3.

              See also: relax/1.

       foldl(Function, InitialAcc :: A, Array :: array()) -> B

              Types:

                 Function =
                     fun((Index :: array_indx(), Value :: term(), Acc :: A) -> B)

              Fold the elements of the array using  the  given  function  and  initial  accumulator  value.  The
              elements are visited in order from the lowest index to the highest. If Function is not a function,
              the call fails with reason badarg.

              See also: foldr/3, map/2, sparse_foldl/3.

       foldr(Function, InitialAcc :: A, Array :: array()) -> B

              Types:

                 Function =
                     fun((Index :: array_indx(), Value :: term(), Acc :: A) -> B)

              Fold the elements of the array right-to-left using the  given  function  and  initial  accumulator
              value.  The elements are visited in order from the highest index to the lowest. If Function is not
              a function, the call fails with reason badarg.

              See also: foldl/3, map/2.

       from_list(List :: list()) -> array()

              Equivalent to from_list(List, undefined).

       from_list(List :: list(), Default :: term()) -> array()

              Convert a list to an extendible array. Default is used as the value for uninitialized  entries  of
              the array. If List is not a proper list, the call fails with reason badarg.

              See also: new/2, to_list/1.

       from_orddict(Orddict :: indx_pairs()) -> array()

              Equivalent to from_orddict(Orddict, undefined).

       from_orddict(Orddict :: indx_pairs(), Default :: term()) ->
                       array()

              Convert  an  ordered  list of pairs {Index, Value} to a corresponding extendible array. Default is
              used as the value for uninitialized entries of the array. If Orddict is not a proper, ordered list
              of pairs whose first elements are nonnegative integers, the call fails with reason badarg.

              See also: new/2, to_orddict/1.

       get(I :: array_indx(), Array :: array()) -> term()

              Get  the value of entry I. If I is not a nonnegative integer, or if the array has fixed size and I
              is larger than the maximum index, the call fails with reason badarg.

              If the array does not have fixed size, this function will return the default value for any index I
              greater than size(Array)-1.

              See also: set/3.

       is_array(X :: term()) -> boolean()

              Returns  true  if  X appears to be an array, otherwise false. Note that the check is only shallow;
              there is no guarantee that X is a well-formed array representation even if this  function  returns
              true.

       is_fix(Array :: array()) -> boolean()

              Check if the array has fixed size. Returns true if the array is fixed, otherwise false.

              See also: fix/1.

       map(Function, Array :: array()) -> array()

              Types:

                 Function =
                     fun((Index :: array_indx(), Value :: term()) -> term())

              Map  the given function onto each element of the array. The elements are visited in order from the
              lowest index to the highest. If Function is not a function, the call fails with reason badarg.

              See also: foldl/3, foldr/3, sparse_map/2.

       new() -> array()

              Create a new, extendible array with initial size zero.

              See also: new/1, new/2.

       new(Options :: array_opts()) -> array()

              Create a new array according to the given options. By default, the array  is  extendible  and  has
              initial size zero. Array indices start at 0.

              Options is a single term or a list of terms, selected from the following:

                N::integer() >= 0 or {size, N::integer() >= 0}:
                  Specifies  the  initial  size  of  the  array;  this also implies {fixed, true}. If N is not a
                  nonnegative integer, the call fails with reason badarg.

                fixed or {fixed, true}:
                  Creates a fixed-size array; see also fix/1.

                {fixed, false}:
                  Creates an extendible (non fixed-size) array.

                {default, Value}:
                  Sets the default value for the array to Value.

              Options are processed in the order they occur  in  the  list,  i.e.,  later  options  have  higher
              precedence.

              The  default  value  is used as the value of uninitialized entries, and cannot be changed once the
              array has been created.

              Examples:

                   array:new(100)

              creates a fixed-size array of size 100.

                   array:new({default,0})

              creates an empty, extendible array whose default value is 0.

                   array:new([{size,10},{fixed,false},{default,-1}])

              creates an extendible array with initial size 10 whose default value is -1.

              See also: fix/1, from_list/2, get/2, new/0, new/2, set/3.

       new(Size :: integer() >= 0, Options :: array_opts()) -> array()

              Create a new array according to the given size and options. If Size is not a nonnegative  integer,
              the  call  fails  with  reason  badarg.  By  default, the array has fixed size. Note that any size
              specifications in Options will override the Size parameter.

              If Options is a list, this is simply equivalent to new([{size, Size} | Options], otherwise  it  is
              equivalent  to  new([{size,  Size}  |  [Options]].  However,  using this function directly is more
              efficient.

              Example:

                   array:new(100, {default,0})

              creates a fixed-size array of size 100, whose default value is 0.

              See also: new/1.

       relax(Array :: array()) -> array()

              Make the array resizable. (Reverses the effects of fix/1.)

              See also: fix/1.

       reset(I :: array_indx(), Array :: array()) -> array()

              Reset entry I to the default value for the array. If the value of entry I is the default value the
              array will be returned unchanged. Reset will never change size of the array. Shrinking can be done
              explicitly by calling resize/2.

              If I is not a nonnegative integer, or if the array has fixed size and I is larger than the maximum
              index, the call fails with reason badarg; cf. set/3

              See also: new/2, set/3.

       resize(Array :: array()) -> array()

              Change the size of the array to that reported by sparse_size/1. If the given array has fixed size,
              the resulting array will also have fixed size.

              See also: resize/2, sparse_size/1.

       resize(Size :: integer() >= 0, Array :: array()) -> array()

              Change the size of the array. If Size is not a nonnegative integer, the  call  fails  with  reason
              badarg. If the given array has fixed size, the resulting array will also have fixed size.

       set(I :: array_indx(), Value :: term(), Array :: array()) ->
              array()

              Set  entry  I  of the array to Value. If I is not a nonnegative integer, or if the array has fixed
              size and I is larger than the maximum index, the call fails with reason badarg.

              If the array does not have fixed size, and I is greater than size(Array)-1, the array will grow to
              size I+1.

              See also: get/2, reset/2.

       size(Array :: array()) -> integer() >= 0

              Get  the number of entries in the array. Entries are numbered from 0 to size(Array)-1; hence, this
              is also the index of the first entry that is guaranteed to not have been previously set.

              See also: set/3, sparse_size/1.

       sparse_foldl(Function, InitialAcc :: A, Array :: array()) -> B

              Types:

                 Function =
                     fun((Index :: array_indx(), Value :: term(), Acc :: A) -> B)

              Fold the elements of the array using the given function and initial  accumulator  value,  skipping
              default-valued entries. The elements are visited in order from the lowest index to the highest. If
              Function is not a function, the call fails with reason badarg.

              See also: foldl/3, sparse_foldr/3.

       sparse_foldr(Function, InitialAcc :: A, Array :: array()) -> B

              Types:

                 Function =
                     fun((Index :: array_indx(), Value :: term(), Acc :: A) -> B)

              Fold the elements of the array right-to-left using the  given  function  and  initial  accumulator
              value,  skipping  default-valued entries. The elements are visited in order from the highest index
              to the lowest. If Function is not a function, the call fails with reason badarg.

              See also: foldr/3, sparse_foldl/3.

       sparse_map(Function, Array :: array()) -> array()

              Types:

                 Function =
                     fun((Index :: array_indx(), Value :: term()) -> term())

              Map the given function onto each element  of  the  array,  skipping  default-valued  entries.  The
              elements are visited in order from the lowest index to the highest. If Function is not a function,
              the call fails with reason badarg.

              See also: map/2.

       sparse_size(Array :: array()) -> integer() >= 0

              Get the number of entries in the array up until the last non-default valued entry. In other words,
              returns  I+1  if  I  is  the  last non-default valued entry in the array, or zero if no such entry
              exists.

              See also: resize/1, size/1.

       sparse_to_list(Array :: array()) -> list()

              Converts the array to a list, skipping default-valued entries.

              See also: to_list/1.

       sparse_to_orddict(Array :: array()) -> indx_pairs()

              Convert the array to an ordered list of pairs {Index, Value}, skipping default-valued entries.

              See also: to_orddict/1.

       to_list(Array :: array()) -> list()

              Converts the array to a list.

              See also: from_list/2, sparse_to_list/1.

       to_orddict(Array :: array()) -> indx_pairs()

              Convert the array to an ordered list of pairs {Index, Value}.

              See also: from_orddict/2, sparse_to_orddict/1.