#### 6.2.2 Creating Cell Arrays

The introductory example (see Basic Usage of Cell Arrays) showed how to create a cell array containing currently available variables. In many situations, however, it is useful to create a cell array and then fill it with data.

The `cell` function returns a cell array of a given size, containing empty matrices. This function is similar to the `zeros` function for creating new numerical arrays. The following example creates a 2-by-2 cell array containing empty matrices

    c = cell (2,2)
         ⇒ c =

             {
               [1,1] = [](0x0)
               [2,1] = [](0x0)
               [1,2] = [](0x0)
               [2,2] = [](0x0)
             }

Just like numerical arrays, cell arrays can be multi-dimensional. The `cell` function accepts any number of positive integers to describe the size of the returned cell array. It is also possible to set the size of the cell array through a vector of positive integers. In the following example two cell arrays of equal size are created, and the size of the first one is displayed

    c1 = cell (3, 4, 5);
    c2 = cell ( [3, 4, 5] );
    size (c1)
         ⇒ ans =
             3   4   5

As can be seen, the size function also works for cell arrays. As do other functions describing the size of an object, such as length, numel, rows, and columns.

Built-in Function: cell (n)
Built-in Function: cell (m, n)
Built-in Function: cell (m, n, k, …)
Built-in Function: cell ([m n …])

  Create a new cell array object.

  If invoked with a single scalar integer argument, return a square NxN cell array. If invoked with two or more scalar integer arguments, or a vector of integer values, return an array with the given dimensions.

  See also: cellstr, mat2cell, num2cell, struct2cell.

As an alternative to creating empty cell arrays, and then filling them, it is possible to convert numerical arrays into cell arrays using the `num2cell`, `mat2cell` and `cellslices` functions.

Built-in Function: C = num2cell (A)
Built-in Function: C = num2cell (A, dim)

  Convert the numeric matrix A to a cell array. If dim is defined, the value C is of dimension 1 in this dimension and the elements of A are placed into C in slices. For example:

      num2cell ([1,2;3,4])
         ⇒
            {
              [1,1] =  1
              [2,1] =  3
              [1,2] =  2
              [2,2] =  4
            }
      num2cell ([1,2;3,4],1)
         ⇒
            {
              [1,1] =
                 1
                 3
              [1,2] =
                 2
                 4
            }

  See also: mat2cell.

Built-in Function: C = mat2cell (A, m, n)
Built-in Function: C = mat2cell (A, d1, d2, …)
Built-in Function: C = mat2cell (A, r)

  Convert the matrix A to a cell array. If A is 2-D, then it is required that `sum (m) == size (A, 1)` and `sum (n) == size (A, 2)`. Similarly, if A is multi-dimensional and the number of dimensional arguments is equal to the dimensions of A, then it is required that `sum (di) == size (A, i)`.

  Given a single dimensional argument r, the other dimensional arguments are assumed to equal `size (A,i)`.

  An example of the use of mat2cell is

      mat2cell (reshape (1:16,4,4), [3,1], [3,1])
      ⇒
      {
         [1,1] =

            1   5   9
            2   6  10
            3   7  11

         [2,1] =

            4   8  12

         [1,2] =

           13
           14
           15

         [2,2] = 16
      }

  See also: num2cell, cell2mat.

Built-in Function: sl = cellslices (x, lb, ub, dim)

  Given an array x, this function produces a cell array of slices from the array determined by the index vectors lb, ub, for lower and upper bounds, respectively. In other words, it is equivalent to the following code:

      n = length (lb);
      sl = cell (1, n);
      for i = 1:length (lb)
        sl{i} = x(:,…,lb(i):ub(i),…,:);
      endfor

  The position of the index is determined by dim. If not specified, slicing is done along the first non-singleton dimension.

  See also: cell2mat, cellindexmat, cellfun.