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Re: Use high bits of the raw random number?
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From: |
Andrew Church |
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Subject: |
Re: Use high bits of the raw random number? |
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Date: |
Thu, 16 May 2019 09:00:58 +0900 |
>> It seems that the high bits should be more random. If so, maybe the
>> high 16 bits should be kept if $RANDOM must stay in 16bits?
>
>This seems like something you could test and verify.
This aroused my curiosity, so I passed the generator's output through
dieharder (https://webhome.phy.duke.edu/~rgb/General/dieharder.php).
The low 16 bits do indeed have a bit of nonrandomness:
rgb_minimum_distance| 3| 10000| 1000|0.00000000| FAILED
rgb_minimum_distance| 4| 10000| 1000|0.00000000| FAILED
rgb_minimum_distance| 5| 10000| 1000|0.00000000| FAILED
But the high 16 bits are much _less_ random:
diehard_birthdays| 0| 100| 100|0.00000000| FAILED
diehard_rank_32x32| 0| 40000| 100|0.00000000| FAILED
diehard_bitstream| 0| 2097152| 100|0.00000000| FAILED
diehard_opso| 0| 2097152| 100|0.00000000| FAILED
diehard_oqso| 0| 2097152| 100|0.00000000| FAILED
(and 84 other failures)
XORing the two halves together seems to produce the best randomness,
with no test failures reported.
I've included the test results below for reference (the "Seed" in the
output is from dieharder and is irrelevant -- the generator was seeded
with the value 1 in all cases).
--Andrew Church
http://achurch.org/
------------------------------------------------------------------------
$ bashrand-low16 | dieharder -a -g 200 # rseed & 65535
#=============================================================================#
# dieharder version 3.31.1 Copyright 2003 Robert G. Brown #
#=============================================================================#
rng_name |rands/second| Seed |
stdin_input_raw| 4.08e+07 |2254089738|
#=============================================================================#
test_name |ntup| tsamples |psamples| p-value |Assessment
#=============================================================================#
diehard_birthdays| 0| 100| 100|0.95827671| PASSED
diehard_operm5| 0| 1000000| 100|0.32031682| PASSED
diehard_rank_32x32| 0| 40000| 100|0.14383292| PASSED
diehard_rank_6x8| 0| 100000| 100|0.43645297| PASSED
diehard_bitstream| 0| 2097152| 100|0.53672081| PASSED
diehard_opso| 0| 2097152| 100|0.02073757| PASSED
diehard_oqso| 0| 2097152| 100|0.06693142| PASSED
diehard_dna| 0| 2097152| 100|0.12452962| PASSED
diehard_count_1s_str| 0| 256000| 100|0.07437349| PASSED
diehard_count_1s_byt| 0| 256000| 100|0.28505260| PASSED
diehard_parking_lot| 0| 12000| 100|0.95056725| PASSED
diehard_2dsphere| 2| 8000| 100|0.97831764| PASSED
diehard_3dsphere| 3| 4000| 100|0.05092918| PASSED
diehard_squeeze| 0| 100000| 100|0.62056331| PASSED
diehard_sums| 0| 100| 100|0.13585606| PASSED
diehard_runs| 0| 100000| 100|0.09497555| PASSED
diehard_runs| 0| 100000| 100|0.66208887| PASSED
diehard_craps| 0| 200000| 100|0.62090323| PASSED
diehard_craps| 0| 200000| 100|0.90228045| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.99721756| WEAK
marsaglia_tsang_gcd| 0| 10000000| 100|0.04085373| PASSED
sts_monobit| 1| 100000| 100|0.12541846| PASSED
sts_runs| 2| 100000| 100|0.31563031| PASSED
sts_serial| 1| 100000| 100|0.59231033| PASSED
sts_serial| 2| 100000| 100|0.22297535| PASSED
sts_serial| 3| 100000| 100|0.77971916| PASSED
sts_serial| 3| 100000| 100|0.12037515| PASSED
sts_serial| 4| 100000| 100|0.12317986| PASSED
sts_serial| 4| 100000| 100|0.72452287| PASSED
sts_serial| 5| 100000| 100|0.90854869| PASSED
sts_serial| 5| 100000| 100|0.44245897| PASSED
sts_serial| 6| 100000| 100|0.82961023| PASSED
sts_serial| 6| 100000| 100|0.88326480| PASSED
sts_serial| 7| 100000| 100|0.39221601| PASSED
sts_serial| 7| 100000| 100|0.63007030| PASSED
sts_serial| 8| 100000| 100|0.42190640| PASSED
sts_serial| 8| 100000| 100|0.52501513| PASSED
sts_serial| 9| 100000| 100|0.06836624| PASSED
sts_serial| 9| 100000| 100|0.14296985| PASSED
sts_serial| 10| 100000| 100|0.00882735| PASSED
sts_serial| 10| 100000| 100|0.38520567| PASSED
sts_serial| 11| 100000| 100|0.16565879| PASSED
sts_serial| 11| 100000| 100|0.86672875| PASSED
sts_serial| 12| 100000| 100|0.04440109| PASSED
sts_serial| 12| 100000| 100|0.65608600| PASSED
sts_serial| 13| 100000| 100|0.18234053| PASSED
sts_serial| 13| 100000| 100|0.85688376| PASSED
sts_serial| 14| 100000| 100|0.99790890| WEAK
sts_serial| 14| 100000| 100|0.35559863| PASSED
sts_serial| 15| 100000| 100|0.98203338| PASSED
sts_serial| 15| 100000| 100|0.79968682| PASSED
sts_serial| 16| 100000| 100|0.91096875| PASSED
sts_serial| 16| 100000| 100|0.88194449| PASSED
rgb_bitdist| 1| 100000| 100|0.56366434| PASSED
rgb_bitdist| 2| 100000| 100|0.58138491| PASSED
rgb_bitdist| 3| 100000| 100|0.51558645| PASSED
rgb_bitdist| 4| 100000| 100|0.78531944| PASSED
rgb_bitdist| 5| 100000| 100|0.87265705| PASSED
rgb_bitdist| 6| 100000| 100|0.01420703| PASSED
rgb_bitdist| 7| 100000| 100|0.65698003| PASSED
rgb_bitdist| 8| 100000| 100|0.86480167| PASSED
rgb_bitdist| 9| 100000| 100|0.70855610| PASSED
rgb_bitdist| 10| 100000| 100|0.52617343| PASSED
rgb_bitdist| 11| 100000| 100|0.92228699| PASSED
rgb_bitdist| 12| 100000| 100|0.80318628| PASSED
rgb_minimum_distance| 2| 10000| 1000|0.01423652| PASSED
rgb_minimum_distance| 3| 10000| 1000|0.00000000| FAILED
rgb_minimum_distance| 4| 10000| 1000|0.00000000| FAILED
rgb_minimum_distance| 5| 10000| 1000|0.00000000| FAILED
rgb_permutations| 2| 100000| 100|0.86696549| PASSED
rgb_permutations| 3| 100000| 100|0.13430227| PASSED
rgb_permutations| 4| 100000| 100|0.93342265| PASSED
rgb_permutations| 5| 100000| 100|0.76172223| PASSED
rgb_lagged_sum| 0| 1000000| 100|0.16897976| PASSED
rgb_lagged_sum| 1| 1000000| 100|0.78109206| PASSED
rgb_lagged_sum| 2| 1000000| 100|0.94554877| PASSED
rgb_lagged_sum| 3| 1000000| 100|0.87035433| PASSED
rgb_lagged_sum| 4| 1000000| 100|0.18519477| PASSED
rgb_lagged_sum| 5| 1000000| 100|0.23195319| PASSED
rgb_lagged_sum| 6| 1000000| 100|0.62744000| PASSED
rgb_lagged_sum| 7| 1000000| 100|0.69122764| PASSED
rgb_lagged_sum| 8| 1000000| 100|0.63430477| PASSED
rgb_lagged_sum| 9| 1000000| 100|0.06923221| PASSED
rgb_lagged_sum| 10| 1000000| 100|0.08125335| PASSED
rgb_lagged_sum| 11| 1000000| 100|0.87027418| PASSED
rgb_lagged_sum| 12| 1000000| 100|0.69606276| PASSED
rgb_lagged_sum| 13| 1000000| 100|0.74083132| PASSED
rgb_lagged_sum| 14| 1000000| 100|0.84610314| PASSED
rgb_lagged_sum| 15| 1000000| 100|0.99232476| PASSED
rgb_lagged_sum| 16| 1000000| 100|0.66176494| PASSED
rgb_lagged_sum| 17| 1000000| 100|0.71721813| PASSED
rgb_lagged_sum| 18| 1000000| 100|0.52977350| PASSED
rgb_lagged_sum| 19| 1000000| 100|0.90141258| PASSED
rgb_lagged_sum| 20| 1000000| 100|0.87810338| PASSED
rgb_lagged_sum| 21| 1000000| 100|0.03561556| PASSED
rgb_lagged_sum| 22| 1000000| 100|0.73255700| PASSED
rgb_lagged_sum| 23| 1000000| 100|0.86418617| PASSED
rgb_lagged_sum| 24| 1000000| 100|0.66387942| PASSED
rgb_lagged_sum| 25| 1000000| 100|0.84707008| PASSED
rgb_lagged_sum| 26| 1000000| 100|0.72757256| PASSED
rgb_lagged_sum| 27| 1000000| 100|0.85478621| PASSED
rgb_lagged_sum| 28| 1000000| 100|0.67385467| PASSED
rgb_lagged_sum| 29| 1000000| 100|0.06591905| PASSED
rgb_lagged_sum| 30| 1000000| 100|0.90408087| PASSED
rgb_lagged_sum| 31| 1000000| 100|0.27029433| PASSED
rgb_lagged_sum| 32| 1000000| 100|0.71030866| PASSED
rgb_kstest_test| 0| 10000| 1000|0.92441955| PASSED
dab_bytedistrib| 0| 51200000| 1|0.64986358| PASSED
dab_dct| 256| 50000| 1|0.26035477| PASSED
Preparing to run test 207. ntuple = 0
dab_filltree| 32| 15000000| 1|0.87783310| PASSED
dab_filltree| 32| 15000000| 1|0.19068058| PASSED
Preparing to run test 208. ntuple = 0
dab_filltree2| 0| 5000000| 1|0.52951596| PASSED
dab_filltree2| 1| 5000000| 1|0.72272623| PASSED
Preparing to run test 209. ntuple = 0
dab_monobit2| 12| 65000000| 1|0.57876071| PASSED
$ bashrand-high16 | dieharder -a -g 200 # rseed >> 16
#=============================================================================#
# dieharder version 3.31.1 Copyright 2003 Robert G. Brown #
#=============================================================================#
rng_name |rands/second| Seed |
stdin_input_raw| 3.95e+07 |1896130801|
#=============================================================================#
test_name |ntup| tsamples |psamples| p-value |Assessment
#=============================================================================#
diehard_birthdays| 0| 100| 100|0.00000000| FAILED
diehard_operm5| 0| 1000000| 100|0.92523706| PASSED
diehard_rank_32x32| 0| 40000| 100|0.00000000| FAILED
diehard_rank_6x8| 0| 100000| 100|0.44886336| PASSED
diehard_bitstream| 0| 2097152| 100|0.00000000| FAILED
diehard_opso| 0| 2097152| 100|0.00000000| FAILED
diehard_oqso| 0| 2097152| 100|0.00000000| FAILED
diehard_dna| 0| 2097152| 100|0.00000000| FAILED
diehard_count_1s_str| 0| 256000| 100|0.00000000| FAILED
diehard_count_1s_byt| 0| 256000| 100|0.00000000| FAILED
diehard_parking_lot| 0| 12000| 100|0.00000000| FAILED
diehard_2dsphere| 2| 8000| 100|0.00000000| FAILED
diehard_3dsphere| 3| 4000| 100|0.00000000| FAILED
diehard_squeeze| 0| 100000| 100|0.00000000| FAILED
diehard_sums| 0| 100| 100|0.00000000| FAILED
diehard_runs| 0| 100000| 100|0.55264319| PASSED
diehard_runs| 0| 100000| 100|0.01384362| PASSED
diehard_craps| 0| 200000| 100|0.00000000| FAILED
diehard_craps| 0| 200000| 100|0.00000000| FAILED
marsaglia_tsang_gcd| 0| 10000000| 100|0.00000000| FAILED
marsaglia_tsang_gcd| 0| 10000000| 100|0.80993197| PASSED
sts_monobit| 1| 100000| 100|0.00000000| FAILED
sts_runs| 2| 100000| 100|0.00000000| FAILED
sts_serial| 1| 100000| 100|0.00000000| FAILED
sts_serial| 2| 100000| 100|0.00000000| FAILED
sts_serial| 3| 100000| 100|0.00000000| FAILED
sts_serial| 3| 100000| 100|0.80204804| PASSED
sts_serial| 4| 100000| 100|0.00000000| FAILED
sts_serial| 4| 100000| 100|0.97025531| PASSED
sts_serial| 5| 100000| 100|0.00000000| FAILED
sts_serial| 5| 100000| 100|0.77133999| PASSED
sts_serial| 6| 100000| 100|0.00000000| FAILED
sts_serial| 6| 100000| 100|0.06869384| PASSED
sts_serial| 7| 100000| 100|0.00000000| FAILED
sts_serial| 7| 100000| 100|0.23557269| PASSED
sts_serial| 8| 100000| 100|0.00000000| FAILED
sts_serial| 8| 100000| 100|0.47529719| PASSED
sts_serial| 9| 100000| 100|0.00000000| FAILED
sts_serial| 9| 100000| 100|0.98177241| PASSED
sts_serial| 10| 100000| 100|0.00000000| FAILED
sts_serial| 10| 100000| 100|0.93218594| PASSED
sts_serial| 11| 100000| 100|0.00000000| FAILED
sts_serial| 11| 100000| 100|0.77024553| PASSED
sts_serial| 12| 100000| 100|0.00000000| FAILED
sts_serial| 12| 100000| 100|0.82110134| PASSED
sts_serial| 13| 100000| 100|0.00000000| FAILED
sts_serial| 13| 100000| 100|0.88460117| PASSED
sts_serial| 14| 100000| 100|0.00000000| FAILED
sts_serial| 14| 100000| 100|0.10589740| PASSED
sts_serial| 15| 100000| 100|0.00000000| FAILED
sts_serial| 15| 100000| 100|0.00790455| PASSED
sts_serial| 16| 100000| 100|0.00000000| FAILED
sts_serial| 16| 100000| 100|0.88297290| PASSED
rgb_bitdist| 1| 100000| 100|0.00000000| FAILED
rgb_bitdist| 2| 100000| 100|0.00000000| FAILED
rgb_bitdist| 3| 100000| 100|0.00000000| FAILED
rgb_bitdist| 4| 100000| 100|0.00000000| FAILED
rgb_bitdist| 5| 100000| 100|0.00000000| FAILED
rgb_bitdist| 6| 100000| 100|0.00000000| FAILED
rgb_bitdist| 7| 100000| 100|0.00000000| FAILED
rgb_bitdist| 8| 100000| 100|0.00000000| FAILED
rgb_bitdist| 9| 100000| 100|0.00000000| FAILED
rgb_bitdist| 10| 100000| 100|0.00000000| FAILED
rgb_bitdist| 11| 100000| 100|0.00000000| FAILED
rgb_bitdist| 12| 100000| 100|0.00000000| FAILED
rgb_minimum_distance| 2| 10000| 1000|0.00000000| FAILED
rgb_minimum_distance| 3| 10000| 1000|0.00000000| FAILED
rgb_minimum_distance| 4| 10000| 1000|0.00000000| FAILED
rgb_minimum_distance| 5| 10000| 1000|0.00000000| FAILED
rgb_permutations| 2| 100000| 100|0.84075909| PASSED
rgb_permutations| 3| 100000| 100|0.51992195| PASSED
rgb_permutations| 4| 100000| 100|0.07158129| PASSED
rgb_permutations| 5| 100000| 100|0.86748797| PASSED
rgb_lagged_sum| 0| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 1| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 2| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 3| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 4| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 5| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 6| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 7| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 8| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 9| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 10| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 11| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 12| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 13| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 14| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 15| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 16| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 17| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 18| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 19| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 20| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 21| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 22| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 23| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 24| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 25| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 26| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 27| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 28| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 29| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 30| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 31| 1000000| 100|0.00000000| FAILED
rgb_lagged_sum| 32| 1000000| 100|0.00000000| FAILED
rgb_kstest_test| 0| 10000| 1000|0.00000000| FAILED
dab_bytedistrib| 0| 51200000| 1|0.00000000| FAILED
dab_dct| 256| 50000| 1|0.00000000| FAILED
Preparing to run test 207. ntuple = 0
dab_filltree| 32| 15000000| 1|0.19120614| PASSED
dab_filltree| 32| 15000000| 1|0.77277873| PASSED
Preparing to run test 208. ntuple = 0
dab_filltree2| 0| 5000000| 1|0.00000000| FAILED
dab_filltree2| 1| 5000000| 1|0.00000000| FAILED
Preparing to run test 209. ntuple = 0
dab_monobit2| 12| 65000000| 1|1.00000000| FAILED
$ bashrand-xor16 | dieharder -a -g 200 # (rseed >> 16) ^ (rseed & 65535)
#=============================================================================#
# dieharder version 3.31.1 Copyright 2003 Robert G. Brown #
#=============================================================================#
rng_name |rands/second| Seed |
stdin_input_raw| 4.20e+07 |1512453807|
#=============================================================================#
test_name |ntup| tsamples |psamples| p-value |Assessment
#=============================================================================#
diehard_birthdays| 0| 100| 100|0.09729123| PASSED
diehard_operm5| 0| 1000000| 100|0.38197697| PASSED
diehard_rank_32x32| 0| 40000| 100|0.20212680| PASSED
diehard_rank_6x8| 0| 100000| 100|0.95898579| PASSED
diehard_bitstream| 0| 2097152| 100|0.96923464| PASSED
diehard_opso| 0| 2097152| 100|0.15170861| PASSED
diehard_oqso| 0| 2097152| 100|0.97472697| PASSED
diehard_dna| 0| 2097152| 100|0.67539491| PASSED
diehard_count_1s_str| 0| 256000| 100|0.01613856| PASSED
diehard_count_1s_byt| 0| 256000| 100|0.65909559| PASSED
diehard_parking_lot| 0| 12000| 100|0.67934334| PASSED
diehard_2dsphere| 2| 8000| 100|0.29719959| PASSED
diehard_3dsphere| 3| 4000| 100|0.63705425| PASSED
diehard_squeeze| 0| 100000| 100|0.99896693| WEAK
diehard_sums| 0| 100| 100|0.03442344| PASSED
diehard_runs| 0| 100000| 100|0.66597439| PASSED
diehard_runs| 0| 100000| 100|0.02717086| PASSED
diehard_craps| 0| 200000| 100|0.46042145| PASSED
diehard_craps| 0| 200000| 100|0.48509254| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.80865116| PASSED
marsaglia_tsang_gcd| 0| 10000000| 100|0.93781094| PASSED
sts_monobit| 1| 100000| 100|0.98076188| PASSED
sts_runs| 2| 100000| 100|0.58786591| PASSED
sts_serial| 1| 100000| 100|0.41557205| PASSED
sts_serial| 2| 100000| 100|0.48943506| PASSED
sts_serial| 3| 100000| 100|0.95111823| PASSED
sts_serial| 3| 100000| 100|0.76353230| PASSED
sts_serial| 4| 100000| 100|0.86947877| PASSED
sts_serial| 4| 100000| 100|0.80934417| PASSED
sts_serial| 5| 100000| 100|0.28512330| PASSED
sts_serial| 5| 100000| 100|0.52821815| PASSED
sts_serial| 6| 100000| 100|0.58807360| PASSED
sts_serial| 6| 100000| 100|0.54799817| PASSED
sts_serial| 7| 100000| 100|0.10563443| PASSED
sts_serial| 7| 100000| 100|0.76002194| PASSED
sts_serial| 8| 100000| 100|0.07925617| PASSED
sts_serial| 8| 100000| 100|0.66784327| PASSED
sts_serial| 9| 100000| 100|0.60993607| PASSED
sts_serial| 9| 100000| 100|0.54268779| PASSED
sts_serial| 10| 100000| 100|0.50866183| PASSED
sts_serial| 10| 100000| 100|0.77674741| PASSED
sts_serial| 11| 100000| 100|0.13714954| PASSED
sts_serial| 11| 100000| 100|0.79012329| PASSED
sts_serial| 12| 100000| 100|0.86408173| PASSED
sts_serial| 12| 100000| 100|0.87294282| PASSED
sts_serial| 13| 100000| 100|0.57007090| PASSED
sts_serial| 13| 100000| 100|0.27525731| PASSED
sts_serial| 14| 100000| 100|0.72888246| PASSED
sts_serial| 14| 100000| 100|0.83421300| PASSED
sts_serial| 15| 100000| 100|0.39338432| PASSED
sts_serial| 15| 100000| 100|0.76034997| PASSED
sts_serial| 16| 100000| 100|0.15581934| PASSED
sts_serial| 16| 100000| 100|0.07014291| PASSED
rgb_bitdist| 1| 100000| 100|0.15651841| PASSED
rgb_bitdist| 2| 100000| 100|0.94217327| PASSED
rgb_bitdist| 3| 100000| 100|0.54967481| PASSED
rgb_bitdist| 4| 100000| 100|0.65062447| PASSED
rgb_bitdist| 5| 100000| 100|0.31069410| PASSED
rgb_bitdist| 6| 100000| 100|0.88019127| PASSED
rgb_bitdist| 7| 100000| 100|0.02437630| PASSED
rgb_bitdist| 8| 100000| 100|0.54584939| PASSED
rgb_bitdist| 9| 100000| 100|0.70997883| PASSED
rgb_bitdist| 10| 100000| 100|0.31045884| PASSED
rgb_bitdist| 11| 100000| 100|0.56402437| PASSED
rgb_bitdist| 12| 100000| 100|0.88285176| PASSED
rgb_minimum_distance| 2| 10000| 1000|0.69256268| PASSED
rgb_minimum_distance| 3| 10000| 1000|0.65839318| PASSED
rgb_minimum_distance| 4| 10000| 1000|0.04181473| PASSED
rgb_minimum_distance| 5| 10000| 1000|0.05777156| PASSED
rgb_permutations| 2| 100000| 100|0.61359456| PASSED
rgb_permutations| 3| 100000| 100|0.94349194| PASSED
rgb_permutations| 4| 100000| 100|0.07397637| PASSED
rgb_permutations| 5| 100000| 100|0.83229725| PASSED
rgb_lagged_sum| 0| 1000000| 100|0.07157695| PASSED
rgb_lagged_sum| 1| 1000000| 100|0.94024588| PASSED
rgb_lagged_sum| 2| 1000000| 100|0.99817632| WEAK
rgb_lagged_sum| 3| 1000000| 100|0.95615731| PASSED
rgb_lagged_sum| 4| 1000000| 100|0.17566935| PASSED
rgb_lagged_sum| 5| 1000000| 100|0.97836530| PASSED
rgb_lagged_sum| 6| 1000000| 100|0.49968629| PASSED
rgb_lagged_sum| 7| 1000000| 100|0.80714216| PASSED
rgb_lagged_sum| 8| 1000000| 100|0.85322307| PASSED
rgb_lagged_sum| 9| 1000000| 100|0.35965723| PASSED
rgb_lagged_sum| 10| 1000000| 100|0.13805880| PASSED
rgb_lagged_sum| 11| 1000000| 100|0.33237271| PASSED
rgb_lagged_sum| 12| 1000000| 100|0.45995550| PASSED
rgb_lagged_sum| 13| 1000000| 100|0.85408879| PASSED
rgb_lagged_sum| 14| 1000000| 100|0.92014844| PASSED
rgb_lagged_sum| 15| 1000000| 100|0.37108903| PASSED
rgb_lagged_sum| 16| 1000000| 100|0.81593116| PASSED
rgb_lagged_sum| 17| 1000000| 100|0.75445815| PASSED
rgb_lagged_sum| 18| 1000000| 100|0.87499694| PASSED
rgb_lagged_sum| 19| 1000000| 100|0.39085817| PASSED
rgb_lagged_sum| 20| 1000000| 100|0.11315185| PASSED
rgb_lagged_sum| 21| 1000000| 100|0.27794302| PASSED
rgb_lagged_sum| 22| 1000000| 100|0.18837897| PASSED
rgb_lagged_sum| 23| 1000000| 100|0.62823276| PASSED
rgb_lagged_sum| 24| 1000000| 100|0.72966708| PASSED
rgb_lagged_sum| 25| 1000000| 100|0.72388313| PASSED
rgb_lagged_sum| 26| 1000000| 100|0.99605128| WEAK
rgb_lagged_sum| 27| 1000000| 100|0.73695039| PASSED
rgb_lagged_sum| 28| 1000000| 100|0.22254016| PASSED
rgb_lagged_sum| 29| 1000000| 100|0.99738807| WEAK
rgb_lagged_sum| 30| 1000000| 100|0.36612824| PASSED
rgb_lagged_sum| 31| 1000000| 100|0.08277246| PASSED
rgb_lagged_sum| 32| 1000000| 100|0.04691853| PASSED
rgb_kstest_test| 0| 10000| 1000|0.61630394| PASSED
dab_bytedistrib| 0| 51200000| 1|0.89058724| PASSED
dab_dct| 256| 50000| 1|0.18413607| PASSED
Preparing to run test 207. ntuple = 0
dab_filltree| 32| 15000000| 1|0.85236676| PASSED
dab_filltree| 32| 15000000| 1|0.10106441| PASSED
Preparing to run test 208. ntuple = 0
dab_filltree2| 0| 5000000| 1|0.94104487| PASSED
dab_filltree2| 1| 5000000| 1|0.30081856| PASSED
Preparing to run test 209. ntuple = 0
dab_monobit2| 12| 65000000| 1|0.24054487| PASSED