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 Product command returns an iterator that is the direct product of a sequence of iterators. The output of the created iterator is a one-dimensional Array that concatenates the output of each component iterator. Each component iterator advances when the preceding iterator resets. The first iterator advances with each iteration.

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

$P≔\mathrm{Product}\left(\mathrm{Permute}\left(3\right)\,\mathrm{BinaryGrayCode}\left(3\right)\right)\:$

$\mathrm{Print}\left(P\,10\,'\mathrm{showrank}'\right)\:$

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

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

$48$

$\mathrm{Unrank}\left(P\,8\right)$

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

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

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