A python implementation of the SP800-22 Rev 1a PRNG test suite.
The NIST STS-2.1.2 implementation of the SP800-22 Rev1a tests has some problems. It tends to crash a lot and give the wrong result.
This implementation provides a separate python file, one for each test and a program to read a binary data file and send it to each of the tests. The summary results are output at the end.
In the example below a 1 Mibibit uniform random binary file is generated with djenrandom (https://github.com/dj-on-github/djenrandom) and run through the test.
$ djenrandom -b -k 128 > megabitrand.bin
$ ./sp800_22_tests.py megabitrand.bin
Tests of Distinguishability from Random
TEST: monobit_test
Ones count = 523619
Zeroes count = 524957
PASS
P=0.191334792562
[ Lots of per test output ]
SUMMARY
-------
monobit_test 0.191334792562 PASS
frequency_within_block_test 0.866040491238 PASS
runs_test 0.45073315513 PASS
longest_run_ones_in_a_block_test 0.464001170438 PASS
binary_matrix_rank_test 0.405449005115 PASS
dft_test 0.852965102607 PASS
non_overlapping_template_matching_test 1.0 PASS
overlapping_template_matching_test 0.91976483935 PASS
maurers_universal_test 0.998884573989 PASS
linear_complexity_test 0.0406698787073 PASS
serial_test 0.895646559993 PASS
approximate_entropy_test 0.895690030562 PASS
cumulative_sums_test 0.18603533058 PASS
random_excursion_test 0.151908516968 PASS
random_excursion_variant_test 0.019160041631 PASS
Next we create a biased data file, where the probability of a 1 is 40% and a 0 is 60% and run it through the test.
$ djenrandom -b -k 128 -m biased --bias=0.4 > biased_megabitrand.bin
$ ./sp800_22_tests.py biased_megabitrand.bin
Tests of Distinguishability from Random
TEST: monobit_test
Ones count = 420122
Zeroes count = 628454
FAIL
[ Lots of per test output ]
SUMMARY
-------
monobit_test 0.0 FAIL
frequency_within_block_test 0.0 FAIL
runs_test 0.0 FAIL
longest_run_ones_in_a_block_test 1.81518103863e-81 FAIL
binary_matrix_rank_test 0.22156738316 PASS
dft_test 3.56787241447e-17 FAIL
non_overlapping_template_matching_test 0.759928185368 PASS
overlapping_template_matching_test 5.31335556946e-91 FAIL
maurers_universal_test 0.910613044038 PASS
linear_complexity_test 0.317575269575 PASS
serial_test 0.0 FAIL
approximate_entropy_test 0.0 FAIL
cumulative_sums_test 0.0 FAIL
random_excursion_test 9.15178471457e-06 FAIL
random_excursion_variant_test 0.121267812518 PASS
Next we create some serially correlated data and run it through the tests.
$ djenrandom -b -k 128 -m correlated --correlation=-0.2 > correlated_megrandom.bin
$ ./sp800_22_tests.py correlated_megabitrand.bin
Tests of Distinguishability from Random
TEST: monobit_test
Ones count = 524242
Zeroes count = 524334
PASS
P=0.928411381275
[ Lots of per test output ]
SUMMARY
-------
monobit_test 0.928411381275 PASS
frequency_within_block_test 0.99598493834 PASS
runs_test 0.0 FAIL
longest_run_ones_in_a_block_test 3.45886379519e-81 FAIL
binary_matrix_rank_test 0.379259346315 PASS
dft_test 8.67506291511e-16 FAIL
non_overlapping_template_matching_test 0.999999863695 PASS
overlapping_template_matching_test 1.1953875512e-90 FAIL
maurers_universal_test 0.923207164612 PASS
linear_complexity_test 0.47696777353 PASS
serial_test 0.0 FAIL
approximate_entropy_test 0.0 FAIL
cumulative_sums_test 0.853890590584 PASS
random_excursion_test 7.63411305092e-09 FAIL
random_excursion_variant_test 0.0662033926665 PASS
Next we create some data with both bias and serial correlation from an Ornstein–Uhlenbeck process and run it through the tool
$ djenrandom -b -k 128 -m sums -l 0.2 -r 0.3 > sums_megrandom.bin
$ ./sp800_22_tests.py sums_megrandom.bin
Tests of Distinguishability from Random
TEST: monobit_test
Ones count = 419429
Zeroes count = 629147
FAIL
P=0.0
[ Lots of per test output ]
SUMMARY
-------
monobit_test 0.0 FAIL
frequency_within_block_test 0.0 FAIL
runs_test 0.0 FAIL
longest_run_ones_in_a_block_test 2.32811341972e-159 FAIL
binary_matrix_rank_test 0.702984863193 PASS
dft_test 7.91957168353e-06 FAIL
non_overlapping_template_matching_test 0.949847572332 PASS
overlapping_template_matching_test 1.16046343793e-137 FAIL
maurers_universal_test 0.90191137295 PASS
linear_complexity_test 0.16038668337 PASS
serial_test 0.0 FAIL
approximate_entropy_test 0.0 FAIL
cumulative_sums_test 0.0 FAIL
random_excursion_test 2.20517667303e-09 FAIL
random_excursion_variant_test 0.0 FAIL
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