The SetState command sets the state of the pseudo-random number generator used by Generate.  Currently the Mersenne Twister generator is used.

A state returned by GetState can be passed into SetState to regenerate a sequence of numbers.

SetState accepts one optional argument, state.

state=value

The state argument specifies the data used to set the state of the generator.  This argument is passed on to the SetState method of the underlying pseudo-random number generator.  Currently the MersenneTwister[SetState] function is called.  If the state argument is not given then the state is seeded using values taken from the system.

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

$\left[\mathrm{AddFlavor}\,\mathrm{BlumBlumShub}\,\mathrm{Generate}\,\mathrm{GenerateSimilar}\,\mathrm{GenerateSimilarODE}\,\mathrm{GetFlavor}\,\mathrm{GetFlavors}\,\mathrm{GetState}\,\mathrm{HasFlavor}\,\mathrm{LinearCongruence}\,\mathrm{MersenneTwister}\,\mathrm{QuadraticCongruence}\,\mathrm{RandomExpand}\,\mathrm{RemoveFlavor}\,\mathrm{SetState}\right]$

$s≔\mathrm{GetState}\left(\right)$

$s≔\left[5489\,1301868182\,\mathrm{-1356468075}\,\mathrm{-1344685418}\,1875628136\,751856242\,944701696\,\mathrm{-2051775225}\,694061057\,219885934\,2066767472\,\mathrm{-1112097888}\,485472502\,\mathrm{-1958109413}\,1071588843\,\mathrm{-876496698}\,951210697\,\mathrm{-601408930}\,\mathrm{-1371485245}\,1793174584\,\mathrm{-1312656495}\,1586906132\,1951078751\,1808158765\,1733897588\,431328322\,\mathrm{-92428252}\,530658942\,1714810322\,\mathrm{-1269711012}\,\mathrm{-952381900}\,1937033938\,\mathrm{-1654394785}\,1654299090\,\mathrm{-602563743}\,\mathrm{-61095987}\,\mathrm{-797316502}\,862629010\,\mathrm{-1351731264}\,\mathrm{-1868508751}\,1603307207\,1133453895\,\mathrm{-1195770936}\,\mathrm{-2086309667}\,\mathrm{-1547313369}\,931059398\,761573964\,\mathrm{-1137114069}\,785880413\,730313442\,124945756\,\mathrm{-1357850241}\,\mathrm{-998984827}\,1724353043\,\mathrm{-1273291952}\,\mathrm{-410080879}\,\mathrm{-284817198}\,\mathrm{-238005330}\,699635835\,\mathrm{-1613628478}\,1339167484\,720757518\,\mathrm{-1494805820}\,\mathrm{-1918869923}\,1532957371\,\mathrm{-392303197}\,1238982754\,\mathrm{-569572782}\,\mathrm{-845790407}\,\mathrm{-724004825}\,\mathrm{-7331206}\,\mathrm{-207660284}\,\mathrm{-691623669}\,202242161\,\mathrm{-1299284513}\,1620962684\,\mathrm{-590243939}\,371613603\,\mathrm{-1480132963}\,2111005706\,624778151\,2094172212\,\mathrm{-10020293}\,1211977835\,991917094\,1570449747\,\mathrm{-1332596816}\,1259410321\,170182696\,146300961\,\mathrm{-1458137505}\,619452428\,\mathrm{-1571297000}\,1881399711\,1161269684\,1675188680\,\mathrm{-162792019}\,780088327\,\mathrm{-885504475}\,1036518241\,\dots \,\text{⋯ 525 Array(0 .. 624) entries not shown}\right]$

$\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{integer}\right)\,i=1..5\right)$

$\mathrm{-104281139460},\mathrm{-306860183579},\mathrm{-477575829529},300187484465,\mathrm{-72447943125}$

$\mathrm{SetState}\left(\mathrm{state}=1234567\right)$

$\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{integer}\right)\,i=1..5\right)$

$133358104197,\mathrm{-226369204},\mathrm{-199647555608},\mathrm{-83694368637},\mathrm{-87420861549}$

$\mathrm{SetState}\left(\mathrm{state}=1234567\right)$

$\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{integer}\right)\,i=1..5\right)$

$133358104197,\mathrm{-226369204},\mathrm{-199647555608},\mathrm{-83694368637},\mathrm{-87420861549}$

$\mathrm{SetState}\left(\mathrm{state}=s\right)$

$\mathrm{seq}\left(\mathrm{Generate}\left(\mathrm{integer}\right)\,i=1..5\right)$

$\mathrm{-104281139460},\mathrm{-306860183579},\mathrm{-477575829529},300187484465,\mathrm{-72447943125}$