Dieharder #
“Dieharder is a random number generator (rng) testing suite. It is intended to test generators, not files of possibly random numbers as the latter is a fallacious view of what it means to be random. Is the number 7 random? If it is generated by a random process, it might be. If it is made up to serve the purpose of some argument (like this one) it is not. Perfect random number generators produce “unlikely” sequences of random numbers – at exactly the right average rate. Testing a rng is therefore quite subtle.”
References #
- https://webhome.phy.duke.edu/~rgb/General/dieharder.php
- https://linux.die.net/man/1/dieharder
- https://en.wikipedia.org/wiki/Diehard_tests
Notes #
- The diehard_sums test is really broken, as the author says.
- Dieharder quite often declares a test result as “WEAK” and re-evaluates it
sucessfully with the
-Y 1 -k 2options, where an equivalent test of TestU01 BigCrush suite doesn’t complain. This is normal.
Starting the Test #
The test has been started as follows (with a signed true random material file):
$ axpad rng -m random.material | dieharder -g 200 -a -Y 1 -k 2
Test Results #
#=============================================================================#
# dieharder version 3.31.1 Copyright 2003 Robert G. Brown #
#=============================================================================#
rng_name |rands/second| Seed |
stdin_input_raw| 8.50e+05 |3018942847|
#=============================================================================#
test_name |ntup| tsamples |psamples| p-value |Assessment
#=============================================================================#
diehard_birthdays| 0| 100| 100|0.08044965| PASSED
diehard_operm5| 0| 1000000| 100|0.78172069| PASSED
diehard_rank_32x32| 0| 40000| 100|0.47084227| PASSED
diehard_rank_6x8| 0| 100000| 100|0.00583501| PASSED
diehard_bitstream| 0| 2097152| 100|0.59716722| PASSED
diehard_opso| 0| 2097152| 100|0.72855671| PASSED
diehard_oqso| 0| 2097152| 100|0.86012066| PASSED
diehard_dna| 0| 2097152| 100|0.18838961| PASSED
diehard_count_1s_str| 0| 256000| 100|0.85073217| PASSED
diehard_count_1s_byt| 0| 256000| 100|0.98553323| PASSED
diehard_parking_lot| 0| 12000| 100|0.53057251| PASSED
diehard_2dsphere| 2| 8000| 100|0.50099421| PASSED
diehard_3dsphere| 3| 4000| 100|0.80395959| PASSED
diehard_squeeze| 0| 100000| 100|0.25556653| PASSED
diehard_sums| 0| 100| 100|0.00820957| PASSED
diehard_runs| 0| 100000| 100|0.69440061| PASSED
diehard_runs| 0| 100000| 100|0.00933845| PASSED
diehard_craps| 0| 200000| 100|0.38791257| PASSED
diehard_craps| 0| 200000| 100|0.37580320| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.70774738| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.07362296| PASSED
sts_monobit| 1| 100000| 100|0.35331801| PASSED
sts_runs| 2| 100000| 100|0.08408892| PASSED
sts_serial| 1| 100000| 100|0.75859908| PASSED
sts_serial| 2| 100000| 100|0.73788195| PASSED
sts_serial| 3| 100000| 100|0.56129243| PASSED
sts_serial| 3| 100000| 100|0.88001169| PASSED
sts_serial| 4| 100000| 100|0.23586279| PASSED
sts_serial| 4| 100000| 100|0.38955523| PASSED
sts_serial| 5| 100000| 100|0.21765299| PASSED
sts_serial| 5| 100000| 100|0.98161369| PASSED
sts_serial| 6| 100000| 100|0.18463705| PASSED
sts_serial| 6| 100000| 100|0.40764626| PASSED
sts_serial| 7| 100000| 100|0.03109536| PASSED
sts_serial| 7| 100000| 100|0.25507097| PASSED
sts_serial| 8| 100000| 100|0.04626358| PASSED
sts_serial| 8| 100000| 100|0.79480016| PASSED
sts_serial| 9| 100000| 100|0.01597905| PASSED
sts_serial| 9| 100000| 100|0.03756091| PASSED
sts_serial| 10| 100000| 100|0.53619050| PASSED
sts_serial| 10| 100000| 100|0.07114361| PASSED
sts_serial| 11| 100000| 100|0.29457938| PASSED
sts_serial| 11| 100000| 100|0.40944909| PASSED
sts_serial| 12| 100000| 100|0.09260950| PASSED
sts_serial| 12| 100000| 100|0.29380236| PASSED
sts_serial| 13| 100000| 100|0.67204595| PASSED
sts_serial| 13| 100000| 100|0.83566644| PASSED
sts_serial| 14| 100000| 100|0.60891284| PASSED
sts_serial| 14| 100000| 100|0.83243617| PASSED
sts_serial| 15| 100000| 100|0.35718607| PASSED
sts_serial| 15| 100000| 100|0.37288061| PASSED
sts_serial| 16| 100000| 100|0.50713347| PASSED
sts_serial| 16| 100000| 100|0.83729464| PASSED
rgb_bitdist| 1| 100000| 100|0.28621642| PASSED
rgb_bitdist| 2| 100000| 100|0.13063334| PASSED
rgb_bitdist| 3| 100000| 100|0.29243231| PASSED
rgb_bitdist| 4| 100000| 100|0.65382312| PASSED
rgb_bitdist| 5| 100000| 100|0.07135171| PASSED
rgb_bitdist| 6| 100000| 100|0.69250560| PASSED
rgb_bitdist| 7| 100000| 100|0.91540488| PASSED
rgb_bitdist| 8| 100000| 100|0.54476080| PASSED
rgb_bitdist| 9| 100000| 100|0.34776208| PASSED
rgb_bitdist| 10| 100000| 100|0.44635736| PASSED
rgb_bitdist| 11| 100000| 100|0.81006311| PASSED
rgb_bitdist| 12| 100000| 100|0.40926452| PASSED
rgb_minimum_distance| 2| 10000| 1000|0.68501259| PASSED
rgb_minimum_distance| 3| 10000| 1000|0.97526168| PASSED
rgb_minimum_distance| 4| 10000| 1000|0.17404741| PASSED
rgb_minimum_distance| 5| 10000| 1000|0.99498858| PASSED
rgb_permutations| 2| 100000| 100|0.94285662| PASSED
rgb_permutations| 3| 100000| 100|0.24863405| PASSED
rgb_permutations| 4| 100000| 100|0.65362600| PASSED
rgb_permutations| 5| 100000| 100|0.68547641| PASSED
rgb_lagged_sum| 0| 1000000| 100|0.25019163| PASSED
rgb_lagged_sum| 1| 1000000| 100|0.84216320| PASSED
rgb_lagged_sum| 2| 1000000| 100|0.52924092| PASSED
rgb_lagged_sum| 3| 1000000| 100|0.62503926| PASSED
rgb_lagged_sum| 4| 1000000| 100|0.80025123| PASSED
rgb_lagged_sum| 5| 1000000| 100|0.48927760| PASSED
rgb_lagged_sum| 6| 1000000| 100|0.11128651| PASSED
rgb_lagged_sum| 7| 1000000| 100|0.16527819| PASSED
rgb_lagged_sum| 8| 1000000| 100|0.99104169| PASSED
rgb_lagged_sum| 9| 1000000| 100|0.95071763| PASSED
rgb_lagged_sum| 10| 1000000| 100|0.32778296| PASSED
rgb_lagged_sum| 11| 1000000| 100|0.68793417| PASSED
rgb_lagged_sum| 12| 1000000| 100|0.92720487| PASSED
rgb_lagged_sum| 13| 1000000| 100|0.96050125| PASSED
rgb_lagged_sum| 14| 1000000| 100|0.84867612| PASSED
rgb_lagged_sum| 15| 1000000| 100|0.65233762| PASSED
rgb_lagged_sum| 16| 1000000| 100|0.42831869| PASSED
rgb_lagged_sum| 17| 1000000| 100|0.97099287| PASSED
rgb_lagged_sum| 18| 1000000| 100|0.17177632| PASSED
rgb_lagged_sum| 19| 1000000| 100|0.74241546| PASSED
rgb_lagged_sum| 20| 1000000| 100|0.15432033| PASSED
rgb_lagged_sum| 21| 1000000| 100|0.60132447| PASSED
rgb_lagged_sum| 22| 1000000| 100|0.59766819| PASSED
rgb_lagged_sum| 23| 1000000| 100|0.37934470| PASSED
rgb_lagged_sum| 24| 1000000| 100|0.46334442| PASSED
rgb_lagged_sum| 25| 1000000| 100|0.48163844| PASSED
rgb_lagged_sum| 26| 1000000| 100|0.23434010| PASSED
rgb_lagged_sum| 27| 1000000| 100|0.95942169| PASSED
rgb_lagged_sum| 28| 1000000| 100|0.95218791| PASSED
rgb_lagged_sum| 29| 1000000| 100|0.15860658| PASSED
rgb_lagged_sum| 30| 1000000| 100|0.62920537| PASSED
rgb_lagged_sum| 31| 1000000| 100|0.57642457| PASSED
rgb_lagged_sum| 32| 1000000| 100|0.24908378| PASSED
rgb_kstest_test| 0| 10000| 1000|0.11930861| PASSED
dab_bytedistrib| 0| 51200000| 1|0.39008604| PASSED
dab_dct| 256| 50000| 1|0.56574565| PASSED
Preparing to run test 207. ntuple = 0
dab_filltree| 32| 15000000| 1|0.07426258| PASSED
dab_filltree| 32| 15000000| 1|0.78480053| PASSED
Preparing to run test 208. ntuple = 0
dab_filltree2| 0| 5000000| 1|0.66095491| PASSED
dab_filltree2| 1| 5000000| 1|0.19499730| PASSED
Preparing to run test 209. ntuple = 0
dab_monobit2| 12| 65000000| 1|0.72777437| PASSED