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 MultiSeq command returns an iterator that advances the elements of an Array as if they were the counters of nested loops.

The rngs parameter specifies the range of each counter. It can be

a range of lists of integers, e.g., [1,3] .. [4,1]

a range of one-dimensional rtables of integers, e.g., <1,3> .. <4,1>,

a list of ranges of integer, e.g., [1..4, 3..1],

a one-dimensional rtable of integers, e.g., <1..4, 3..1>.

At each iteration, the first counter is advanced. If the i-th counter is at its finish value when it is advanced, it is assigned its start value and the i+1 counter is advanced.

The iteration ends when all counters reach their finish values.

If the finish value of a counter is less than its start value, it is decremented rather than incremented when advanced.

$\mathrm{with}\left(\mathrm{Iterator}\right)\&colon;$

$M≔\mathrm{MultiSeq}\left(\left[1\&comma;3\right]..\left[4\&comma;1\right]\right)\&colon;$

$\mathrm{Print}\left(M\&comma;'\mathrm{showrank}'\right)\&colon;$

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

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

$12$

$\mathrm{Unrank}\left(M\&comma;4\right)$

$\left[\begin{array}{cc}4& 3\end{array}\right]$

$N≔\mathrm{Object}\left(M\&comma;\mathrm{rank}=4\right)\&colon;$

$\mathrm{Print}\left(N\&comma;'\mathrm{showrank}'\right)$

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

$M≔\mathrm{MultiSeq}\left(\left[1..4\&comma;3..1\right]\right)\&colon;$

$\mathrm{Print}\left(M\&comma;'\mathrm{showrank}'\right)\&colon;$

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

The Iterator[MultiSeq] command was introduced in Maple 2022.

For more information on Maple 2022 changes, see Updates in Maple 2022.