The Set of Defaults Seeds for Random Number Generator

[cykwanad]

Hi Haifengl. I am working on some data analytics projects and I would like to know what algorithm is used to generate the set of default seeds for the random number generator. The only algorithm I have heard is the Mersenne Twister algorithm, but I have very limited knowledge. Can you provide some details regarding the algorithm you are using? Thanks.

[haifengl]

Each random number generator algorithm has its own default seed. For Mersenne Twister, it is 19650218. See https://github.com/haifengl/smile/blob/256a41cc9fb394c0f417d301a04da28255ba9bef/base/src/main/java/smile/math/random/MersenneTwister.java#L60C43-L60C51

[cykwanad]

Hi Haifengl. Thank you so much for your reply. To be more specific, I would like to know how you find the following set of default seeds in the MathEx class.

private static final long[] DEFAULT_SEEDS = {

    -4106602711295138952L,  7872020634117869514L, -1722503517109829138L, -3386820675908254116L,
    -1736715870046201019L,  3854590623768163340L,  4984519038350406438L,   831971085876758331L,
     7131773007627236777L, -3609561992173376238L, -8759399602515137276L,  6192158663294695439L,
    -5656470009161653116L, -7984826214821970800L, -9113192788977418232L, -8979910231410580019L,
    -4619021025191354324L, -5082417586190057466L, -6554946940783144090L, -3610462176018822900L,
     8959796931768911980L, -4251632352234989839L,  4922191169088134258L, -7282805902317830669L,
     3869302430595840919L,  2517690626940415460L,  4056663221614950174L,  6429856319379397738L,
     7298845553914383313L,  8179510284261677971L,  4282994537597585253L,  7300184601511783348L,
     2596703774884172704L,  1089838915342514714L,  4323657609714862439L,   777826126579190548L,
    -1902743089794461140L, -2460431043688989882L, -3261708534465890932L,  4007861469505443778L,
     8067600139237526646L,  5717273542173905853L,  2938568334013652889L, -2972203304739218305L,
     6544901794394958069L,  7013723936758841449L, -4215598453287525312L, -1454689091401951913L,
    -5699280845313829011L, -9147984414924288540L,  5211986845656222459L, -1287642354429721659L,
    -1509334943513011620L, -9000043616528857326L, -2902817511399216571L,  -742823064588229527L,
    -4937222449957498789L,  -455679889440396397L, -6109470266907575296L,  5515435653880394376L,
     5557224587324997029L,  8904139390487005840L,  6560726276686488510L,  6959949429287621625L,
    -6055733513105375650L,  5762016937143172332L, -9186652929482643329L, -1105816448554330895L,
    -8200377873547841359L,  9107473159863354619L,  3239950546973836199L, -8104429975176305012L,
     3822949195131885242L, -5261390396129824777L,  9176101422921943895L, -5102541493993205418L,
    -1254710019595692814L, -6668066200971989826L, -2118519708589929546L,  5428466612765068681L,
    -6528627776941116598L, -5945449163896244174L, -3293290115918281076L,  6370347300411991230L,
    -7043881693953271167L,  8078993941165238212L,  6894961504641498099L, -8798276497942360228L,
     2276271091333773917L, -7184141741385833013L, -4787502691178107481L,  1255068205351917608L,
    -8644146770023935609L,  5124094110137147339L,  4917075344795488880L,  3423242822219783102L,
     1588924456880980404L,  8515495360312448868L, -5563691320675461929L, -2352238951654504517L,
    -7416919543420127888L,   631412478604690114L,   689144891258712875L, -9001615284848119152L,
    -6275065758899203088L,  8164387857252400515L, -4122060123604826739L, -2016541034210046261L,
    -7178335877193796678L,  3354303106860129181L,  5731595363486898779L, -2874315602397298018L,
     5386746429707619069L,  9036622191596156315L, -7950190733284789459L, -5741691593792426169L,
    -8600462258998065159L,  5460142111961227035L,   276738899508534641L,  2358776514903881139L,
     -837649704945720257L, -3608906204977108245L,  2960825464614526243L,  7339056324843827739L,
    -5709958573878745135L, -5885403829221945248L,  6611935345917126768L,  2588814037559904539L

    };

[haifengl]

These numbers are chosen for their high randomness so that bit operations in RNG won't deteriorate from an information theory pov.