test

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Published: Jun 7, 2021 License: GPL-3.0 Imports: 16 Imported by: 0

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Entropy Testing

In order verify that the random package actually generates random enough entropy/data, this test program holds the core functions that generate entropy as well as some noise makers to simulate a running program.

Please also note that output from tickFeeder is never used directly but fed as entropy to the actual RNG - fortuna.

With tickFeeder, to be sure that the delivered entropy is of high enough quality, only 1 bit of entropy is expected per generated byte - ie. we gather 8 times the amount we need. The following test below is run on the raw output.

To test the quality of entropy, first generate random data with the test program:

go build

./test tickfeeder tickfeeder.out 1 # just the additional entropy feed
# OR
./test fortuna fortuna.out 10 # the actual CSPRNG with feeders

Then, run dieharder, a random number generator test tool:

dieharder -a -f output.bin

Below you can find two test outputs of dieharder. Please note that around 5 tests of dieharder normally fail. This is expected and even desired. Also, the rng currently reseeds (ie. adds entropy) after 1MB or 10 minutes.

dieharder of two samples of 10MB of fortuna (with feeders) (go version go1.14.2 linux/amd64 on 21.04.2020):

#=============================================================================#
#            dieharder version 3.31.1 Copyright 2003 Robert G. Brown          #
#=============================================================================#
   rng_name    |           filename             |rands/second|
        mt19937|                     fortuna.out|  1.00e+08  |
#=============================================================================#
        test_name   |ntup| tsamples |psamples|  p-value |Assessment
#=============================================================================#
   diehard_birthdays|   0|       100|     100|0.69048981|  PASSED  |  2nd sample: PASSED
      diehard_operm5|   0|   1000000|     100|0.76010702|  PASSED  |  2nd sample: PASSED
  diehard_rank_32x32|   0|     40000|     100|0.86291558|  PASSED  |  2nd sample: PASSED
    diehard_rank_6x8|   0|    100000|     100|0.63715647|  PASSED  |  2nd sample: PASSED
   diehard_bitstream|   0|   2097152|     100|0.25389670|  PASSED  |  2nd sample: PASSED
        diehard_opso|   0|   2097152|     100|0.70928590|  PASSED  |  2nd sample: PASSED
        diehard_oqso|   0|   2097152|     100|0.75643141|  PASSED  |  2nd sample: PASSED
         diehard_dna|   0|   2097152|     100|0.57096286|  PASSED  |  2nd sample: PASSED
diehard_count_1s_str|   0|    256000|     100|0.39650366|  PASSED  |  2nd sample: PASSED
diehard_count_1s_byt|   0|    256000|     100|0.26040557|  PASSED  |  2nd sample: PASSED
 diehard_parking_lot|   0|     12000|     100|0.92327672|  PASSED  |  2nd sample: PASSED
    diehard_2dsphere|   2|      8000|     100|0.86507605|  PASSED  |  2nd sample: PASSED
    diehard_3dsphere|   3|      4000|     100|0.70845388|  PASSED  |  2nd sample: PASSED
     diehard_squeeze|   0|    100000|     100|0.99744782|   WEAK   |  2nd sample: PASSED
        diehard_sums|   0|       100|     100|0.27275938|  PASSED  |  2nd sample: PASSED
        diehard_runs|   0|    100000|     100|0.27299936|  PASSED  |  2nd sample: PASSED
        diehard_runs|   0|    100000|     100|0.42043270|  PASSED  |  2nd sample: PASSED
       diehard_craps|   0|    200000|     100|0.91674884|  PASSED  |  2nd sample: PASSED
       diehard_craps|   0|    200000|     100|0.77856237|  PASSED  |  2nd sample: PASSED
 marsaglia_tsang_gcd|   0|  10000000|     100|0.77922797|  PASSED  |  2nd sample: PASSED
 marsaglia_tsang_gcd|   0|  10000000|     100|0.94589532|  PASSED  |  2nd sample: PASSED
         sts_monobit|   1|    100000|     100|0.99484549|  PASSED  |  2nd sample: PASSED
            sts_runs|   2|    100000|     100|0.70036713|  PASSED  |  2nd sample: PASSED
          sts_serial|   1|    100000|     100|0.79544015|  PASSED  |  2nd sample: PASSED
          sts_serial|   2|    100000|     100|0.91473958|  PASSED  |  2nd sample: PASSED
          sts_serial|   3|    100000|     100|0.66528037|  PASSED  |  2nd sample: PASSED
          sts_serial|   3|    100000|     100|0.84028312|  PASSED  |  2nd sample: PASSED
          sts_serial|   4|    100000|     100|0.82253130|  PASSED  |  2nd sample: PASSED
          sts_serial|   4|    100000|     100|0.90695315|  PASSED  |  2nd sample: PASSED
          sts_serial|   5|    100000|     100|0.55160515|  PASSED  |  2nd sample: PASSED
          sts_serial|   5|    100000|     100|0.05256789|  PASSED  |  2nd sample: PASSED
          sts_serial|   6|    100000|     100|0.25857850|  PASSED  |  2nd sample: PASSED
          sts_serial|   6|    100000|     100|0.58661649|  PASSED  |  2nd sample: PASSED
          sts_serial|   7|    100000|     100|0.46915559|  PASSED  |  2nd sample: PASSED
          sts_serial|   7|    100000|     100|0.57273130|  PASSED  |  2nd sample: PASSED
          sts_serial|   8|    100000|     100|0.99182961|  PASSED  |  2nd sample: PASSED
          sts_serial|   8|    100000|     100|0.86913367|  PASSED  |  2nd sample: PASSED
          sts_serial|   9|    100000|     100|0.19259756|  PASSED  |  2nd sample: PASSED
          sts_serial|   9|    100000|     100|0.61225842|  PASSED  |  2nd sample: PASSED
          sts_serial|  10|    100000|     100|0.40792308|  PASSED  |  2nd sample: PASSED
          sts_serial|  10|    100000|     100|0.99930785|   WEAK   |  2nd sample: PASSED
          sts_serial|  11|    100000|     100|0.07296973|  PASSED  |  2nd sample: PASSED
          sts_serial|  11|    100000|     100|0.04906522|  PASSED  |  2nd sample: PASSED
          sts_serial|  12|    100000|     100|0.66400927|  PASSED  |  2nd sample: PASSED
          sts_serial|  12|    100000|     100|0.67947609|  PASSED  |  2nd sample: PASSED
          sts_serial|  13|    100000|     100|0.20412325|  PASSED  |  2nd sample: PASSED
          sts_serial|  13|    100000|     100|0.19781734|  PASSED  |  2nd sample: PASSED
          sts_serial|  14|    100000|     100|0.08541533|  PASSED  |  2nd sample: PASSED
          sts_serial|  14|    100000|     100|0.07438464|  PASSED  |  2nd sample: PASSED
          sts_serial|  15|    100000|     100|0.04607276|  PASSED  |  2nd sample: PASSED
          sts_serial|  15|    100000|     100|0.56460340|  PASSED  |  2nd sample: PASSED
          sts_serial|  16|    100000|     100|0.40211405|  PASSED  |  2nd sample: PASSED
          sts_serial|  16|    100000|     100|0.81369172|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   1|    100000|     100|0.52317549|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   2|    100000|     100|0.49819655|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   3|    100000|     100|0.65830167|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   4|    100000|     100|0.75278398|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   5|    100000|     100|0.23537303|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   6|    100000|     100|0.82461608|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   7|    100000|     100|0.46944789|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   8|    100000|     100|0.44371293|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|   9|    100000|     100|0.61647469|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|  10|    100000|     100|0.97623808|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|  11|    100000|     100|0.26037998|  PASSED  |  2nd sample: PASSED
         rgb_bitdist|  12|    100000|     100|0.59217788|  PASSED  |  2nd sample: PASSED
rgb_minimum_distance|   2|     10000|    1000|0.19809129|  PASSED  |  2nd sample: PASSED
rgb_minimum_distance|   3|     10000|    1000|0.97363365|  PASSED  |  2nd sample: PASSED
rgb_minimum_distance|   4|     10000|    1000|0.62281709|  PASSED  |  2nd sample: PASSED
rgb_minimum_distance|   5|     10000|    1000|0.13655852|  PASSED  |  2nd sample: PASSED
    rgb_permutations|   2|    100000|     100|0.33726465|  PASSED  |  2nd sample: PASSED
    rgb_permutations|   3|    100000|     100|0.21992025|  PASSED  |  2nd sample:  WEAK
    rgb_permutations|   4|    100000|     100|0.27074573|  PASSED  |  2nd sample: PASSED
    rgb_permutations|   5|    100000|     100|0.76925248|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   0|   1000000|     100|0.91881971|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   1|   1000000|     100|0.08282106|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   2|   1000000|     100|0.55991289|  PASSED  |  2nd sample:  WEAK
      rgb_lagged_sum|   3|   1000000|     100|0.94939920|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   4|   1000000|     100|0.21248759|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   5|   1000000|     100|0.99308883|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   6|   1000000|     100|0.83174944|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   7|   1000000|     100|0.49883983|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|   8|   1000000|     100|0.99900807|   WEAK   |  2nd sample: PASSED
      rgb_lagged_sum|   9|   1000000|     100|0.74164128|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  10|   1000000|     100|0.53367081|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  11|   1000000|     100|0.41808417|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  12|   1000000|     100|0.96082733|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  13|   1000000|     100|0.38208924|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  14|   1000000|     100|0.98335747|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  15|   1000000|     100|0.68708033|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  16|   1000000|     100|0.49715110|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  17|   1000000|     100|0.68418225|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  18|   1000000|     100|0.97255087|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  19|   1000000|     100|0.99556843|   WEAK   |  2nd sample: PASSED
      rgb_lagged_sum|  20|   1000000|     100|0.50758123|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  21|   1000000|     100|0.98435826|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  22|   1000000|     100|0.15752743|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  23|   1000000|     100|0.98607886|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  24|   1000000|     100|0.86645723|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  25|   1000000|     100|0.87384758|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  26|   1000000|     100|0.98680940|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  27|   1000000|     100|0.56386729|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  28|   1000000|     100|0.16874165|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  29|   1000000|     100|0.10369211|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  30|   1000000|     100|0.91356341|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  31|   1000000|     100|0.42526940|  PASSED  |  2nd sample: PASSED
      rgb_lagged_sum|  32|   1000000|     100|0.99939460|   WEAK   |  2nd sample: PASSED
     rgb_kstest_test|   0|     10000|    1000|0.11414525|  PASSED  |  2nd sample: PASSED
     dab_bytedistrib|   0|  51200000|       1|0.27693890|  PASSED  |  2nd sample: PASSED
             dab_dct| 256|     50000|       1|0.15807123|  PASSED  |  2nd sample: PASSED
Preparing to run test 207.  ntuple = 0
        dab_filltree|  32|  15000000|       1|0.33275771|  PASSED  |  2nd sample: PASSED
        dab_filltree|  32|  15000000|       1|0.15704033|  PASSED  |  2nd sample: PASSED
Preparing to run test 208.  ntuple = 0
       dab_filltree2|   0|   5000000|       1|0.85562670|  PASSED  |  2nd sample: PASSED
       dab_filltree2|   1|   5000000|       1|0.35187836|  PASSED  |  2nd sample: PASSED
Preparing to run test 209.  ntuple = 0
        dab_monobit2|  12|  65000000|       1|0.03099468|  PASSED  |  2nd sample: PASSED

dieharder output of 22KB of contextswitch (go version go1.10.3 linux/amd64 on 23.08.2018):

#=============================================================================#
#            dieharder version 3.31.1 Copyright 2003 Robert G. Brown          #
#=============================================================================#
   rng_name    |           filename             |rands/second|
        mt19937|                      output.bin|  1.00e+08  |
#=============================================================================#
        test_name   |ntup| tsamples |psamples|  p-value |Assessment
#=============================================================================#
   diehard_birthdays|   0|       100|     100|0.75124818|  PASSED  
      diehard_operm5|   0|   1000000|     100|0.71642114|  PASSED  
  diehard_rank_32x32|   0|     40000|     100|0.66406749|  PASSED  
    diehard_rank_6x8|   0|    100000|     100|0.79742497|  PASSED  
   diehard_bitstream|   0|   2097152|     100|0.68336079|  PASSED  
        diehard_opso|   0|   2097152|     100|0.99670345|   WEAK   
        diehard_oqso|   0|   2097152|     100|0.85930861|  PASSED  
         diehard_dna|   0|   2097152|     100|0.77857540|  PASSED  
diehard_count_1s_str|   0|    256000|     100|0.27851730|  PASSED  
diehard_count_1s_byt|   0|    256000|     100|0.29570009|  PASSED  
 diehard_parking_lot|   0|     12000|     100|0.51526020|  PASSED  
    diehard_2dsphere|   2|      8000|     100|0.49199324|  PASSED  
    diehard_3dsphere|   3|      4000|     100|0.99008122|  PASSED  
     diehard_squeeze|   0|    100000|     100|0.95518110|  PASSED  
        diehard_sums|   0|       100|     100|0.00015930|   WEAK   
        diehard_runs|   0|    100000|     100|0.50091086|  PASSED  
        diehard_runs|   0|    100000|     100|0.44091340|  PASSED  
       diehard_craps|   0|    200000|     100|0.77284264|  PASSED  
       diehard_craps|   0|    200000|     100|0.71027434|  PASSED  
 marsaglia_tsang_gcd|   0|  10000000|     100|0.38138922|  PASSED  
 marsaglia_tsang_gcd|   0|  10000000|     100|0.36661590|  PASSED  
         sts_monobit|   1|    100000|     100|0.06209802|  PASSED  
            sts_runs|   2|    100000|     100|0.82506539|  PASSED  
          sts_serial|   1|    100000|     100|0.99198615|  PASSED  
          sts_serial|   2|    100000|     100|0.85604831|  PASSED  
          sts_serial|   3|    100000|     100|0.06613657|  PASSED  
          sts_serial|   3|    100000|     100|0.16787860|  PASSED  
          sts_serial|   4|    100000|     100|0.45227401|  PASSED  
          sts_serial|   4|    100000|     100|0.43529092|  PASSED  
          sts_serial|   5|    100000|     100|0.99912474|   WEAK   
          sts_serial|   5|    100000|     100|0.94754128|  PASSED  
          sts_serial|   6|    100000|     100|0.98406523|  PASSED  
          sts_serial|   6|    100000|     100|0.92895983|  PASSED  
          sts_serial|   7|    100000|     100|0.45965410|  PASSED  
          sts_serial|   7|    100000|     100|0.64185152|  PASSED  
          sts_serial|   8|    100000|     100|0.57922926|  PASSED  
          sts_serial|   8|    100000|     100|0.52390292|  PASSED  
          sts_serial|   9|    100000|     100|0.82722325|  PASSED  
          sts_serial|   9|    100000|     100|0.89384819|  PASSED  
          sts_serial|  10|    100000|     100|0.79877889|  PASSED  
          sts_serial|  10|    100000|     100|0.49562348|  PASSED  
          sts_serial|  11|    100000|     100|0.09217966|  PASSED  
          sts_serial|  11|    100000|     100|0.00342361|   WEAK   
          sts_serial|  12|    100000|     100|0.60119444|  PASSED  
          sts_serial|  12|    100000|     100|0.20420318|  PASSED  
          sts_serial|  13|    100000|     100|0.76867489|  PASSED  
          sts_serial|  13|    100000|     100|0.35717970|  PASSED  
          sts_serial|  14|    100000|     100|0.67364089|  PASSED  
          sts_serial|  14|    100000|     100|0.98667204|  PASSED  
          sts_serial|  15|    100000|     100|0.24328833|  PASSED  
          sts_serial|  15|    100000|     100|0.52098866|  PASSED  
          sts_serial|  16|    100000|     100|0.48845863|  PASSED  
          sts_serial|  16|    100000|     100|0.61943558|  PASSED  
         rgb_bitdist|   1|    100000|     100|0.24694812|  PASSED  
         rgb_bitdist|   2|    100000|     100|0.75873723|  PASSED  
         rgb_bitdist|   3|    100000|     100|0.28670990|  PASSED  
         rgb_bitdist|   4|    100000|     100|0.41966273|  PASSED  
         rgb_bitdist|   5|    100000|     100|0.80463973|  PASSED  
         rgb_bitdist|   6|    100000|     100|0.44747725|  PASSED  
         rgb_bitdist|   7|    100000|     100|0.35848420|  PASSED  
         rgb_bitdist|   8|    100000|     100|0.56585089|  PASSED  
         rgb_bitdist|   9|    100000|     100|0.23179559|  PASSED  
         rgb_bitdist|  10|    100000|     100|0.83369283|  PASSED  
         rgb_bitdist|  11|    100000|     100|0.74761235|  PASSED  
         rgb_bitdist|  12|    100000|     100|0.50477673|  PASSED  
rgb_minimum_distance|   2|     10000|    1000|0.29527530|  PASSED  
rgb_minimum_distance|   3|     10000|    1000|0.83681186|  PASSED  
rgb_minimum_distance|   4|     10000|    1000|0.85939646|  PASSED  
rgb_minimum_distance|   5|     10000|    1000|0.90229335|  PASSED  
    rgb_permutations|   2|    100000|     100|0.99010460|  PASSED  
    rgb_permutations|   3|    100000|     100|0.99360922|  PASSED  
    rgb_permutations|   4|    100000|     100|0.30113906|  PASSED  
    rgb_permutations|   5|    100000|     100|0.60701235|  PASSED  
      rgb_lagged_sum|   0|   1000000|     100|0.37080580|  PASSED  
      rgb_lagged_sum|   1|   1000000|     100|0.91852932|  PASSED  
      rgb_lagged_sum|   2|   1000000|     100|0.74568323|  PASSED  
      rgb_lagged_sum|   3|   1000000|     100|0.64070201|  PASSED  
      rgb_lagged_sum|   4|   1000000|     100|0.53802729|  PASSED  
      rgb_lagged_sum|   5|   1000000|     100|0.67865656|  PASSED  
      rgb_lagged_sum|   6|   1000000|     100|0.85161494|  PASSED  
      rgb_lagged_sum|   7|   1000000|     100|0.37312323|  PASSED  
      rgb_lagged_sum|   8|   1000000|     100|0.17841759|  PASSED  
      rgb_lagged_sum|   9|   1000000|     100|0.85795513|  PASSED  
      rgb_lagged_sum|  10|   1000000|     100|0.79843176|  PASSED  
      rgb_lagged_sum|  11|   1000000|     100|0.21320830|  PASSED  
      rgb_lagged_sum|  12|   1000000|     100|0.94709672|  PASSED  
      rgb_lagged_sum|  13|   1000000|     100|0.12600611|  PASSED  
      rgb_lagged_sum|  14|   1000000|     100|0.26780352|  PASSED  
      rgb_lagged_sum|  15|   1000000|     100|0.07862730|  PASSED  
      rgb_lagged_sum|  16|   1000000|     100|0.21102254|  PASSED  
      rgb_lagged_sum|  17|   1000000|     100|0.82967141|  PASSED  
      rgb_lagged_sum|  18|   1000000|     100|0.05818566|  PASSED  
      rgb_lagged_sum|  19|   1000000|     100|0.01010140|  PASSED  
      rgb_lagged_sum|  20|   1000000|     100|0.17941782|  PASSED  
      rgb_lagged_sum|  21|   1000000|     100|0.98442639|  PASSED  
      rgb_lagged_sum|  22|   1000000|     100|0.30352772|  PASSED  
      rgb_lagged_sum|  23|   1000000|     100|0.56855155|  PASSED  
      rgb_lagged_sum|  24|   1000000|     100|0.27280405|  PASSED  
      rgb_lagged_sum|  25|   1000000|     100|0.41141889|  PASSED  
      rgb_lagged_sum|  26|   1000000|     100|0.25389013|  PASSED  
      rgb_lagged_sum|  27|   1000000|     100|0.10313177|  PASSED  
      rgb_lagged_sum|  28|   1000000|     100|0.76610028|  PASSED  
      rgb_lagged_sum|  29|   1000000|     100|0.97903830|  PASSED  
      rgb_lagged_sum|  30|   1000000|     100|0.51216732|  PASSED  
      rgb_lagged_sum|  31|   1000000|     100|0.98578832|  PASSED  
      rgb_lagged_sum|  32|   1000000|     100|0.95078719|  PASSED  
     rgb_kstest_test|   0|     10000|    1000|0.24930712|  PASSED  
     dab_bytedistrib|   0|  51200000|       1|0.51100031|  PASSED  
             dab_dct| 256|     50000|       1|0.28794956|  PASSED  
Preparing to run test 207.  ntuple = 0
        dab_filltree|  32|  15000000|       1|0.93283449|  PASSED  
        dab_filltree|  32|  15000000|       1|0.36488075|  PASSED  
Preparing to run test 208.  ntuple = 0
       dab_filltree2|   0|   5000000|       1|0.94036105|  PASSED  
       dab_filltree2|   1|   5000000|       1|0.30118240|  PASSED  
Preparing to run test 209.  ntuple = 0
        dab_monobit2|  12|  65000000|       1|0.00209003|   WEAK

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