$ alrng -2 -o alpharng_raw_noise.bin -n 1000000 $ ./ea_iid -i alpharng_raw_noise.bin -a -v Opening file: 'alpharng_raw_noise.bin' Loaded 1000000 samples of 256 distinct 8-bit-wide symbols Number of Binary samples: 8000000 Calculating baseline statistics... Raw Mean: 127.301430 Median: 127.000000 Binary: false Literal MCV Estimate: mode = 4178, p-hat = 0.0041780000000000003, p_u = 0.0043441469498529403 Bitstring MCV Estimate: mode = 4000584, p-hat = 0.50007299999999999, p_u = 0.50052834661553569 H_original: 7.846711 H_bitstring: 0.998476 min(H_original, 8 X H_bitstring): 7.846711 Chi square independence score = 65617.071977 degrees of freedom = 65280 p-value = 0.175383 Chi square goodness of fit score = 2352.786877 degrees of freedom = 2295 p-value = 0.196078 ** Passed chi square tests Literal Longest Repeated Substring results P_col: 0.003908 Length of LRS: 6 Pr(X >= 1): 0.001779 ** Passed length of longest repeated substring test Beginning initial tests... Initial test results excursion: 87495.9 numDirectionalRuns: 666657 lenDirectionalRuns: 8 numIncreasesDecreases: 501846 numRunsMedian: 500300 lenRunsMedian: 19 avgCollision: 20.6781 maxCollision: 70 periodicity(1): 3924 periodicity(2): 3965 periodicity(8): 3890 periodicity(16): 3835 periodicity(32): 3806 covariance(1): 1.61966e+10 covariance(2): 1.62093e+10 covariance(8): 1.62073e+10 covariance(16): 1.61997e+10 covariance(32): 1.62049e+10 compression: 1.06767e+06 Beginning permutation tests... these may take some time 91.75% of Permutation test rounds, 100.00% of Permutation tests statistic C[i][0] C[i][1] C[i][2] ---------------------------------------------------- excursion 6 0 25 numDirectionalRuns 7 0 6 lenDirectionalRuns 9 6 0 numIncreasesDecreases 20 0 6 numRunsMedian 6 0 24 lenRunsMedian 7 3 3 avgCollision 19 0 6 maxCollision 13 4 2 periodicity(1) 6 0 6 periodicity(2) 6 0 28 periodicity(8) 6 0 8 periodicity(16) 47 0 6 periodicity(32) 63 0 6 covariance(1) 69 0 6 covariance(2) 6 0 20 covariance(8) 6 0 6 covariance(16) 37 0 6 covariance(32) 6 0 7 compression 6 0 6 (* denotes failed test) ** Passed IID permutation tests