(Pseudo) Random Number Generators (PRNG) are exceedingly important
in ALL computing scenarios.

How valid is your PRNG?

We can discuss endlessly the concept of a true random sequence
(and the math ain't easy) but in today's technical world only
the practical is important.

To test your PRNG just use the "diehard" suite:

https://webhome.phy.duke.edu/~rgb/General/dieharder.php

Among other things, these tests examine clustering in
dimensions as high as 55. Whew~

These tests are considered definitive throughout the world.

But I am so terribly, terribly sorry, the "dieharder" suite
is available for GNU/Linux only.

Microslop Winblows users couldn't distinguish a rat's ass
from a true random number.

Haaaaaaa, ha, ha, ha, ha, ha, ha, ha!

Anyway, here is the result of Dieharder on my Intel
"rdrand" instruction:

[Random]# rdrand-gen | dieharder -g 200 -a
#=============================================================================#
# dieharder version 3.31.1 Copyright 2003 Robert G. Brown #
#=============================================================================#
rng_name |rands/second| Seed |
stdin_input_raw| 3.98e+07 |2966055847|
#=============================================================================#
test_name |ntup| tsamples |psamples| p-value |Assessment
#=============================================================================#
diehard_birthdays| 0| 100| 100|0.06543207| PASSED
diehard_operm5| 0| 1000000| 100|0.21260771| PASSED
diehard_rank_32x32| 0| 40000| 100|0.09354959| PASSED
diehard_rank_6x8| 0| 100000| 100|0.64365574| PASSED
diehard_bitstream| 0| 2097152| 100|0.24730007| PASSED
diehard_opso| 0| 2097152| 100|0.33369360| PASSED
diehard_oqso| 0| 2097152| 100|0.94866090| PASSED
diehard_dna| 0| 2097152| 100|0.13555753| PASSED
diehard_count_1s_str| 0| 256000| 100|0.82687564| PASSED
diehard_count_1s_byt| 0| 256000| 100|0.93790339| PASSED
diehard_parking_lot| 0| 12000| 100|0.48712953| PASSED
diehard_2dsphere| 2| 8000| 100|0.89758888| PASSED
diehard_3dsphere| 3| 4000| 100|0.71401508| PASSED
diehard_squeeze| 0| 100000| 100|0.82295870| PASSED
diehard_sums| 0| 100| 100|0.92144902| PASSED
diehard_runs| 0| 100000| 100|0.61388018| PASSED
diehard_runs| 0| 100000| 100|0.32212703| PASSED
diehard_craps| 0| 200000| 100|0.86460706| PASSED
diehard_craps| 0| 200000| 100|0.51042913| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.03066137| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.83817842| PASSED
sts_monobit| 1| 100000| 100|0.75148206| PASSED
sts_runs| 2| 100000| 100|0.35054612| PASSED
sts_serial| 1| 100000| 100|0.77825332| PASSED
sts_serial| 2| 100000| 100|0.97437660| PASSED
sts_serial| 3| 100000| 100|0.30179524| PASSED
sts_serial| 3| 100000| 100|0.86193393| PASSED
sts_serial| 4| 100000| 100|0.58390853| PASSED
sts_serial| 5| 100000| 100|0.48388602| PASSED
sts_serial| 5| 100000| 100|0.57983056| PASSED
sts_serial| 6| 100000| 100|0.90456422| PASSED
sts_serial| 6| 100000| 100|0.16798238| PASSED
sts_serial| 7| 100000| 100|0.23550385| PASSED
sts_serial| 7| 100000| 100|0.03267475| PASSED
sts_serial| 8| 100000| 100|0.85582552| PASSED
sts_serial| 8| 100000| 100|0.45817214| PASSED
sts_serial| 9| 100000| 100|0.38165970| PASSED
sts_serial| 9| 100000| 100|0.52670513| PASSED
sts_serial| 10| 100000| 100|0.10432461| PASSED
sts_serial| 10| 100000| 100|0.26245716| PASSED
sts_serial| 11| 100000| 100|0.18289997| PASSED
sts_serial| 11| 100000| 100|0.04038603| PASSED
sts_serial| 12| 100000| 100|0.27364588| PASSED
sts_serial| 12| 100000| 100|0.78201533| PASSED
sts_serial| 13| 100000| 100|0.47343109| PASSED
sts_serial| 13| 100000| 100|0.15000316| PASSED
sts_serial| 14| 100000| 100|0.34083410| PASSED
sts_serial| 14| 100000| 100|0.65414911| PASSED
sts_serial| 15| 100000| 100|0.34700439| PASSED
sts_serial| 15| 100000| 100|0.39252322| PASSED
sts_serial| 16| 100000| 100|0.84715942| PASSED
sts_serial| 16| 100000| 100|0.62603672| PASSED
rgb_bitdist| 1| 100000| 100|0.97719831| PASSED
rgb_bitdist| 2| 100000| 100|0.43552728| PASSED
rgb_bitdist| 3| 100000| 100|0.47568975| PASSED
rgb_bitdist| 4| 100000| 100|0.47613931| PASSED
rgb_bitdist| 5| 100000| 100|0.56171508| PASSED
rgb_bitdist| 6| 100000| 100|0.35859216| PASSED
rgb_bitdist| 7| 100000| 100|0.72459926| PASSED
rgb_bitdist| 8| 100000| 100|0.33549057| PASSED
rgb_bitdist| 9| 100000| 100|0.05322092| PASSED
rgb_bitdist| 10| 100000| 100|0.28628719| PASSED
rgb_bitdist| 11| 100000| 100|0.52505178| PASSED
rgb_bitdist| 12| 100000| 100|0.26900560| PASSED
rgb_minimum_distance| 2| 10000| 1000|0.34214578| PASSED
rgb_minimum_distance| 3| 10000| 1000|0.61050826| PASSED
rgb_minimum_distance| 4| 10000| 1000|0.57531845| PASSED
rgb_minimum_distance| 5| 10000| 1000|0.46852286| PASSED
rgb_permutations| 3| 100000| 100|0.62399533| PASSED
rgb_permutations| 4| 100000| 100|0.10199144| PASSED
rgb_permutations| 5| 100000| 100|0.88653935| PASSED
rgb_lagged_sum| 0| 1000000| 100|0.25581051| PASSED
rgb_lagged_sum| 1| 1000000| 100|0.93878998| PASSED
rgb_lagged_sum| 2| 1000000| 100|0.91291794| PASSED
rgb_lagged_sum| 3| 1000000| 100|0.95036822| PASSED
rgb_lagged_sum| 4| 1000000| 100|0.14688926| PASSED
rgb_lagged_sum| 5| 1000000| 100|0.98439421| PASSED
rgb_lagged_sum| 6| 1000000| 100|0.30260560| PASSED
rgb_lagged_sum| 7| 1000000| 100|0.21580826| PASSED
rgb_lagged_sum| 8| 1000000| 100|0.50359162| PASSED
rgb_lagged_sum| 9| 1000000| 100|0.53878247| PASSED
rgb_lagged_sum| 10| 1000000| 100|0.45132897| PASSED
rgb_lagged_sum| 11| 1000000| 100|0.72423983| PASSED
rgb_lagged_sum| 12| 1000000| 100|0.64399891| PASSED
rgb_lagged_sum| 13| 1000000| 100|0.26611978| PASSED
rgb_lagged_sum| 14| 1000000| 100|0.61894945| PASSED
rgb_lagged_sum| 15| 1000000| 100|0.79042077| PASSED
rgb_lagged_sum| 16| 1000000| 100|0.38034141| PASSED
rgb_lagged_sum| 17| 1000000| 100|0.84064672| PASSED
rgb_lagged_sum| 18| 1000000| 100|0.52727379| PASSED
rgb_lagged_sum| 19| 1000000| 100|0.32990885| PASSED
rgb_lagged_sum| 20| 1000000| 100|0.85270315| PASSED
rgb_lagged_sum| 21| 1000000| 100|0.30154480| PASSED
rgb_lagged_sum| 22| 1000000| 100|0.32021848| PASSED
rgb_lagged_sum| 23| 1000000| 100|0.86852963| PASSED
rgb_lagged_sum| 24| 1000000| 100|0.81857235| PASSED
rgb_lagged_sum| 25| 1000000| 100|0.62494255| PASSED
rgb_lagged_sum| 26| 1000000| 100|0.60562922| PASSED
rgb_lagged_sum| 27| 1000000| 100|0.90017271| PASSED
rgb_lagged_sum| 28| 1000000| 100|0.63637700| PASSED
rgb_lagged_sum| 29| 1000000| 100|0.68813283| PASSED
rgb_lagged_sum| 30| 1000000| 100|0.30337758| PASSED
rgb_lagged_sum| 31| 1000000| 100|0.65562852| PASSED
rgb_lagged_sum| 32| 1000000| 100|0.09833925| PASSED
rgb_kstest_test| 0| 10000| 1000|0.93200972| PASSED
dab_bytedistrib| 0| 51200000| 1|0.55513036| PASSED
dab_dct| 256| 50000| 1|0.93670054| PASSED
Preparing to run test 207. ntuple = 0
dab_filltree| 32| 15000000| 1|0.96749115| PASSED
dab_filltree| 32| 15000000| 1|0.99055949| PASSED
Preparing to run test 208. ntuple = 0
dab_filltree2| 0| 5000000| 1|0.74561940| PASSED
dab_filltree2| 1| 5000000| 1|0.47906494| PASSED
Preparing to run test 209. ntuple = 0
dab_monobit2| 12| 65000000| 1|0.51837531| PASSED

Everything has passed the stringent tests.

Note the "p-value," but distro lackeys could not distinguish a
p-value from their own diminutive penis.