### 6.1.8 Array Identifiers

You may declare arrays of identifiers of up to five dimensions. Any item that can be declared as an identifier can be declared in an array.

#### 6.1.8.1 Declaring Arrays

The syntax for declaring an array is as follows:

    ARRAY_DECLARATION:
      #declare IDENTIFIER = array[ INT ][[ INT ]]..[ARRAY_INITIALIZER] |
      #local IDENTIFIER = array[ INT ][[ INT ]]..[ARRAY_INITIALIZER]
    ARRAY_INITIALIZER:
      {ARRAY_ITEM, [ARRAY_ITEM, ]... }
    ARRAY_ITEM:
      RVALUE | ARRAY_INITIALIZER

Where IDENTIFIER is the name of the identifier up to 40 characters long and INT is a valid float expression which is internally truncated to an integer which specifies the size of the array. The optional ARRAY_INITIALIZER is discussed in the next section "Array Initializers". Here is an example of a one-dimensional, uninitialized array.

     #declare MyArray = array[10]

This declares an uninitialized array of ten elements. The elements are referenced as `MyArray[0]` through `MyArray[9]`. As yet, the type of the elements are undetermined. Once you have initialized any element of the array, all other elements can only be defined as that type. An attempt to reference an uninitialized element results in an error. For example:

     #declare MyArray = array[10]
     #declare MyArray[5] = pigment{White}     //all other elements must
                                              //be pigments too.
     #declare MyArray[2] = normal{bumps 0.2}  //generates an error
     #declare Thing = MyArray[4]   //error: uninitialized array element

Multi-dimensional arrays up to five dimensions may be declared. For example:

     #declare MyGrid = array[4][5]

declares a 20 element array of 4 rows and 5 columns. Elements are referenced from `MyGrid[0][0]` to `MyGrid[3][4]`. Although it is permissible to reference an entire array as a whole, you may not reference just one dimension of a multi-dimensional array. For example:

     #declare MyArray = array[10]
     #declare MyGrid = array[4][5]
     #declare YourArray = MyArray  //this is ok
     #declare YourGrid = MyGrid   //so is this
     #declare OneRow  = MyGrid[2] //this is illegal

The `#ifdef` and `#ifndef` directives can be used to check whether a specific element of an array has been declared. For methods to determine the size of an array look in the float section for `dimensions` and `dimension_size`

Large uninitialized arrays do not take much memory. Internally they are arrays of pointers so they probably use just 4 bytes per element. Once initialized with values, they consume memory depending on what you put in them.

The rules for local vs. global arrays are the same as any other identifier.

Note: this applies to the entire array. You cannot mix local and global elements in the same array. See "#declare vs. #local" for information on identifier scope.

#### 6.1.8.2 Array Initializers

Because it is cumbersome to individually initialize the elements of an array, you may initialize it as it is created using array initializer syntax. For example:

     #include "colors.inc"
     #declare FlagColors = array[3] {Red,White,Blue}

Multi-dimensional arrays may also be initialized this way. For example:

     #declare Digits =
     array[4][10]
     {
      {7,6,7,0,2,1,6,5,5,0},
      {1,2,3,4,5,6,7,8,9,0},
      {0,9,8,7,6,5,4,3,2,1},
      {1,1,2,2,3,3,4,4,5,5}
     }

The commas are required between elements and between dimensions as shown in the example.