Rank computes the rank of an ordinary mixed radix tuple.

The a parameter is the tuple. It is a list or one-dimensional rtable of nonnegative integers. The first element is the low-order element.

The m parameter is the radices. It is a list or one-dimensional rtable of nonnegative integers.

$\mathrm{with}\left(\mathrm{Iterator}:-\mathrm{MixedRadix}\right)\:$

$\mathrm{radices}≔\left[3\,1\,4\,1\right]\:$

$M≔\mathrm{Iterator}:-\mathrm{MixedRadixTuples}\left(\mathrm{radices}\right)$

$M≔\mathrm{MixedRadixTuples}\left(\left[3\,1\,4\,1\right]\right)$

$$\begin{gathered} \mathbf{for}a\mathbf{in}M\mathbf{do} \\ \mathrm{printf}\left(''\%2d\; :\; \%d\backslash n''\,\mathrm{Rank}\left(a\,\mathrm{radices}\right)\,a\right) \\ \mathbf{end}\mathbf{do}\: \end{gathered}$$

 1 : 0 0 0 0
 2 : 1 0 0 0
 3 : 2 0 0 0
 4 : 0 0 1 0
 5 : 1 0 1 0
 6 : 2 0 1 0
 7 : 0 0 2 0
 8 : 1 0 2 0
 9 : 2 0 2 0
10 : 0 0 3 0
11 : 1 0 3 0
12 : 2 0 3 0

The Iterator[MixedRadix][Rank] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.