The flavor set describes a set containing n entries where the entries of this set are described by the given random flavor flav.

By default, the final set can contain fewer than n entries if the same object is generated more than once. If the exact = true option is given, either as the keyword or as the equation exact = true, then a set of exactly n values is returned. For this to succeed, the number of possible values generated by the given flavor has to be at least n. This can be detected reliably for some flavors such as integer or choose, but not for all flavors. The option exact = true can also be specified as just exact; the default can be specified explicitly as exact = false.

If Maple cannot detect whether the flavor supports at least n values and the exact option is set to true, then it will try to generate sufficiently many values. However, this may fail. In this situation, if Maple runs a certain limit number of iterations, it will error out. By default, this limit is 100 iterations; it can be set to any positive number using the limit option, or to infinity to disable the limit. If the exact option is not set to true, the limit option is ignored.

This flavor can be used as an argument to RandomTools[Generate] or as part of a structured flavor.

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

$\mathrm{Generate}\left(\mathrm{set}\left(\mathrm{posint}\left(\mathrm{range}=10\right)\,10\right)\right)$

$\left\{1\,2\,4\,5\,6\,7\,8\,10\right\}$

$\mathrm{Generate}\left(\mathrm{set}\left(\mathrm{rational}\left(\mathrm{denominator}=6\right)\,10\right)\right)$

$\left\{-\frac{2}{3}\,-\frac{1}{2}\,-\frac{1}{3}\,\frac{1}{2}\,\frac{1}{3}\,\frac{2}{3}\,\frac{5}{6}\right\}$

$\mathrm{Generate}\left(\mathrm{set}\left(\mathrm{rational}\left(\mathrm{denominator}=6\right)\,10\,\mathrm{exact}\right)\right)$

$\left\{0\,-\frac{5}{6}\,-\frac{2}{3}\,-\frac{1}{2}\,-\frac{1}{6}\,\frac{1}{2}\,\frac{1}{3}\,\frac{1}{6}\,\frac{2}{3}\,\frac{5}{6}\right\}$

$\mathrm{Generate}\left(\mathrm{set}\left(\mathrm{rational}\left(\mathrm{denominator}=6\right)\,100\,\mathrm{exact}\right)\right)$

Error, (in RandomTools:-Generate) requested exactly 100 different random entries, but unsuccessful after 100 iterations (11 were found)

$\mathrm{Generate}\left(\mathrm{set}\left(\mathrm{list}\left(\mathrm{integer}\left(\mathrm{range}=1..5\right)\,6\right)\,15600\,\mathrm{exact}\right)\right)$

Error, (in RandomTools:-Generate) requested exactly 15600 different random entries, but unsuccessful after 100 iterations (15533 were found)

$\mathrm{result}≔\mathrm{Generate}\left(\mathrm{set}\left(\mathrm{list}\left(\mathrm{integer}\left(\mathrm{range}=1..5\right)\,6\right)\,15600\,\mathrm{exact}\,\mathrm{limit}=\mathrm{\infty }\right)\right)\:$

$\mathrm{numelems}\left(\mathrm{result}\right)$

$15600$

The RandomTools Flavor: set command was updated in Maple 2019.

The exact and limit options were introduced in Maple 2019.

For more information on Maple 2019 changes, see Updates in Maple 2019.