compile = truefalse

True means compile the iterator. The default is true.

rank = nonnegint

Specify the starting rank of the iterator. The default is one. Passing a value greater than one causes the iterator to skip the lower ranks; this can be useful when parallelizing iterators. The starting rank reverts to one when the iterator is reset, reused, or copied.

The MixedRadixTuples command returns an iterator that generates all tuples of a mixed-radix number.

The radices parameter is a list of positive integers that specify the radices of the number. The k-th integer is the radix at the k-th index.

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

$M≔\mathrm{MixedRadixTuples}\left(\left[2\,4\,3\right]\right)\:$

$\mathrm{seq}\left(v\left[\right]\,v=M\right)$

$\left[\begin{array}{ccc}0& 0& 0\end{array}\right],\left[\begin{array}{ccc}1& 0& 0\end{array}\right],\left[\begin{array}{ccc}0& 1& 0\end{array}\right],\left[\begin{array}{ccc}1& 1& 0\end{array}\right],\left[\begin{array}{ccc}0& 2& 0\end{array}\right],\left[\begin{array}{ccc}1& 2& 0\end{array}\right],\left[\begin{array}{ccc}0& 3& 0\end{array}\right],\left[\begin{array}{ccc}1& 3& 0\end{array}\right],\left[\begin{array}{ccc}0& 0& 1\end{array}\right],\left[\begin{array}{ccc}1& 0& 1\end{array}\right],\left[\begin{array}{ccc}0& 1& 1\end{array}\right],\left[\begin{array}{ccc}1& 1& 1\end{array}\right],\left[\begin{array}{ccc}0& 2& 1\end{array}\right],\left[\begin{array}{ccc}1& 2& 1\end{array}\right],\left[\begin{array}{ccc}0& 3& 1\end{array}\right],\left[\begin{array}{ccc}1& 3& 1\end{array}\right],\left[\begin{array}{ccc}0& 0& 2\end{array}\right],\left[\begin{array}{ccc}1& 0& 2\end{array}\right],\left[\begin{array}{ccc}0& 1& 2\end{array}\right],\left[\begin{array}{ccc}1& 1& 2\end{array}\right],\left[\begin{array}{ccc}0& 2& 2\end{array}\right],\left[\begin{array}{ccc}1& 2& 2\end{array}\right],\left[\begin{array}{ccc}0& 3& 2\end{array}\right],\left[\begin{array}{ccc}1& 3& 2\end{array}\right]$

$\mathrm{Number}\left(M\right)$

$24$

$\mathrm{Unrank}\left(M\,4\right)$

$\left[\begin{array}{ccc}1& 1& 0\end{array}\right]$

$N≔\mathrm{Object}\left(M\,\mathrm{rank}=4\right)\:$

$\mathrm{seq}\left(v\left[\right]\,v=N\right)$

$\left[\begin{array}{ccc}1& 1& 0\end{array}\right],\left[\begin{array}{ccc}0& 2& 0\end{array}\right],\left[\begin{array}{ccc}1& 2& 0\end{array}\right],\left[\begin{array}{ccc}0& 3& 0\end{array}\right],\left[\begin{array}{ccc}1& 3& 0\end{array}\right],\left[\begin{array}{ccc}0& 0& 1\end{array}\right],\left[\begin{array}{ccc}1& 0& 1\end{array}\right],\left[\begin{array}{ccc}0& 1& 1\end{array}\right],\left[\begin{array}{ccc}1& 1& 1\end{array}\right],\left[\begin{array}{ccc}0& 2& 1\end{array}\right],\left[\begin{array}{ccc}1& 2& 1\end{array}\right],\left[\begin{array}{ccc}0& 3& 1\end{array}\right],\left[\begin{array}{ccc}1& 3& 1\end{array}\right],\left[\begin{array}{ccc}0& 0& 2\end{array}\right],\left[\begin{array}{ccc}1& 0& 2\end{array}\right],\left[\begin{array}{ccc}0& 1& 2\end{array}\right],\left[\begin{array}{ccc}1& 1& 2\end{array}\right],\left[\begin{array}{ccc}0& 2& 2\end{array}\right],\left[\begin{array}{ccc}1& 2& 2\end{array}\right],\left[\begin{array}{ccc}0& 3& 2\end{array}\right],\left[\begin{array}{ccc}1& 3& 2\end{array}\right]$

Knuth, Donald Ervin. The Art of Computer Programming, volume 4, fascicle 2; generating all tuples and permutations, p. 2, sec. 7.2.1.1, generating all n-tuples, algorithm M, mixed-radix generation.

The Iterator[MixedRadixTuples] command was introduced in Maple 2016.

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

The Iterator[MixedRadixTuples] command was updated in Maple 2022.

The radices parameter was updated in Maple 2022.