recserrc
==============================================

Purpose
----------------

Computes a recursive series involving division.

Format
----------------
.. function:: y = recserrc(x, z)

    :param x: data
    :type x: 1xK or Kx1 vector

    :param z: data
    :type z: NxK matrix

    :return y: Each column is a series generated by a recursion of the form:

        ::

            y[1] = x mod z[1], x = trunc(x/z[1])
            y[2] = x mod z[2], x = trunc(x/z[2])
            y[3] = x mod z[3], x = trunc(x/z[3])
               .   
               .
               .
            y[n] = x mod z[n]

    :rtype y: NxK matrix

Examples
----------------

::

    x = 2|8|10;
    b = 2;
    n = maxc(log(x)./log(b) ) + 1;
    z = reshape(b, n, rows(x));
    y = rev(recserrc(x, z) )';

The result, *y*, will contain in its rows (note that it is transposed
in the last step) the digits representing the decimal numbers 2, 8, and 10 in base 2:

::

    0 0 1 0
    1 0 0 0
    1 0 1 0

Remarks
-------

Can be used to convert from decimal to other number systems (radix conversion).

Source
------

recserrc.src

.. seealso:: Functions :func:`recserar`, :func:`recsercp`, :func:`recserVAR`