$ cat seq* | ./deskewing | ./ascii_to_bin | dieharder -g 200 -s 1 -t 31250 -p 108 #================================================================== # STS Monobit Test # Very simple. Counts the 1 bits in a long string of random uints. # Compares to expected number, generates a p-value directly from # erfc(). Very effective at revealing overtly weak generators; # Not so good at determining where stronger ones eventually fail. #================================================================== # Run Details # Random number generator tested: stdin_input_raw # Samples per test pvalue = 31250 (test default is 100000) # P-values in final KS test = 108 (test default is 100) #================================================================== # Histogram of p-values ################################################################## # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | |****| # | | | | |****|****| | | |****| # 12| |****| | |****|****| | | |****| # | |****| | |****|****|****| | |****| # 8|****|****|****|****|****|****|****|****| |****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.80791750 Assessment: PASSED at > 5% for STS Monobit Test $ cat seq* | ./deskewing | ./ascii_to_bin | dieharder -g 200 -s 2 -t 31250 -p 108 #================================================================== # STS Runs Test # Counts the total number of 0 runs + total number of 1 runs across # a sample of bits. Note that a 0 run must begin with 10 and end # with 01. Note that a 1 run must begin with 01 and end with a 10. # This test, run on a bitstring with cyclic boundary conditions, is # absolutely equivalent to just counting the 01 + 10 bit pairs. # It is therefore totally redundant with but not as good as the # rgb_bitdist() test for 2-tuples, which looks beyond the means to the # moments, testing an entire histogram of 00, 01, 10, and 11 counts # to see if it is binomially distributed with p = 0.25. #================================================================== # Run Details # Random number generator tested: stdin_input_raw # Samples per test pvalue = 31250 (test default is 100000) # P-values in final KS test = 108 (test default is 100) #================================================================== # Histogram of p-values ################################################################## # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | |****| # | | | |****| | | | | |****| # 12|****| | |****| |****|****| | |****| # |****| | |****| |****|****| |****|****| # 8|****|****|****|****| |****|****| |****|****| # |****|****|****|****|****|****|****| |****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.64197013 Assessment: PASSED at > 5% for STS Runs Test $ cat seq* | ./deskewing | ./ascii_to_bin | dieharder -g 200 -s 3 -t 31250 -p 108 #======================================================================== # STS Serial Test # Accumulates the frequencies of overlapping n-tuples of bits drawn # from a source of random integers. The expected distribution of n-bit # patterns is multinomial with p = 2^(-n) e.g. the four 2-bit patterns # 00 01 10 11 # should occur with equal probability. The target distribution is thus # a simple chisq with 2^n - 1 degrees of freedom, one lost due to the # constraint that: # # p_00 + p_01 + p_01 + p_11 = 1 # # With overlap, though the test statistic is more complex. For example, # given a bit string such as 0110100111000110 without overlap, it becomes # 01|10|10|01|11|00|01|10 and we count 1 00, 3 01s, 3 10s, and 1 11. # WITH overlap we get all of these patterns as well as (with cyclic wrap): # 0|11|01|00|11|10|00|11|0 and we count 4 00s, 4 01s, 4 10s, and 3 11s. # There is considerable covariance in the bit frequencies and a simple # chisq test no longer suffices. The STS test uses target statistics that # are valid for overlapping samples but which require multiple orders # to generate. # # It is much easier to write a test that doesn't use overlapping samples # and directly checks to ensure that the distribution of bit ntuples # is consistent with a multinomial distribution with uniform probability # p = 1/2^n, e.g. 1/8 for n = 3 bit, 1/16 for n = 4 bit NON-overlapping # samples, and the rgb_bitdist is just such a test. This test doesn't # require comparing different orders. An open research question is # whether or not test sensitivity significantly depends on managing # overlap testing software RNGs where it is presumed that generation # is cheap and unlimited. This question pertains to related tests, such # as overlapping permutations tests (where non-overlapping permutation # tests are isomorphic to non-overlapping frequency tests, fairly # obviously). # # This test does all the possible bitlevel tests from n=1 to n=16 bits # (where n=1 is basically sts_monobit, and n=2 IMO is redundant with # sts_runs). However, if I understand things correctly it is not # possible to fail a 2 bit test and pass a 16 bit test, as if 2 bits are # biased so that (say) 00 occurs a bit too often, then 16 bit strings # containing 00's MUST be imbalanced as well relative to ones that do # not, so we really only need to check n=16 bit results to get all # the rest for free, so to speak. # # Run Details # Random number generator tested: stdin_input_raw # Samples per test pvalue = 31250 (test default is 100000) # P-values in final KS test = 108 (test default is 100) #================================================================== # Histogram of p-values # Normal p-value for STS Serial test for n=1 bit (STS Monobit) # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | |****| # | | | | |****|****| | | |****| # 12| |****| | |****|****| | | |****| # | |****| | |****|****|****| | |****| # 8|****|****|****|****|****|****|****|****| |****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.80791750 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=2 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # |****| | | | | | | | | | # 16|****| | | | | | | | | | # |****| | | |****| | | | | | # 12|****| | | |****| | | | |****| # |****| |****|****|****| | |****| |****| # 8|****|****|****|****|****| | |****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.37611826 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=3 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # |****| | | | | | | | | | # 16|****| | | | | | | | | | # |****| | | | |****| | | | | # 12|****| |****| |****|****| | | | | # |****| |****|****|****|****|****| | |****| # 8|****| |****|****|****|****|****| |****|****| # |****|****|****|****|****|****|****| |****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.37629707 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=3 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | |****| | | | | # 16| | | | | |****| | | | | # |****| | | | |****| | | | | # 12|****| | |****| |****| | | | | # |****| |****|****|****|****| | | | | # 8|****|****|****|****|****|****|****| |****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.50026675 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=4 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # |****| | | | | | | | | | # 16|****| | | |****| | | | | | # |****|****| | |****|****| |****| | | # 12|****|****| | |****|****| |****| | | # |****|****| | |****|****| |****| |****| # 8|****|****|****| |****|****| |****|****|****| # |****|****|****| |****|****| |****|****|****| # 4|****|****|****| |****|****| |****|****|****| # |****|****|****| |****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.05209530 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=4 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # |****|****| | | | | | | | | # 12|****|****| | |****| | |****| |****| # |****|****| |****|****| | |****| |****| # 8|****|****| |****|****|****| |****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.64485790 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=5 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # |****| | |****| | | | | | | # 12|****|****| |****| |****| | | | | # |****|****| |****|****|****|****|****| | | # 8|****|****| |****|****|****|****|****|****|****| # |****|****| |****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.88467646 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=5 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | | | |****| | | | | | # 12| | | | |****|****| | | | | # |****|****|****| |****|****|****|****|****|****| # 8|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.90712493 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=6 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # |****| | | | | | | | | | # 12|****| |****| | |****|****| | | | # |****| |****|****| |****|****|****|****|****| # 8|****| |****|****| |****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.99258951 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=6 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | |****| | | | | | # 16| | | | |****| | | | | | # | | | | |****| | | | | | # 12| | | | |****| |****|****| | | # |****| | |****|****| |****|****| |****| # 8|****|****|****|****|****| |****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.62764762 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=7 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | |****| | | | | | | | # 12|****|****|****|****| | | | | | | # |****|****|****|****| |****|****|****| |****| # 8|****|****|****|****|****|****|****|****| |****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.40391475 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=7 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | | | | | | |****| | | # 12|****| | | | |****| |****| | | # |****|****|****| |****|****| |****|****| | # 8|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.98625370 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=8 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | |****| | | | | | # |****| | | |****| |****| | | | # 12|****| | | |****|****|****| | | | # |****| | | |****|****|****| |****|****| # 8|****| | | |****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.37966539 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=8 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | |****| | | | |****| | # | | | |****|****| | | |****| | # 12| | | |****|****| |****| |****| | # | | | |****|****| |****| |****| | # 8|****|****|****|****|****| |****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.60158766 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=9 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | |****| | | | | | # | | | |****|****| |****| | | | # 12| | | |****|****| |****| | | | # |****| | |****|****| |****| |****|****| # 8|****|****|****|****|****| |****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.50502412 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=9 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | |****| | | # | | | | |****| | |****| | | # 12|****| | | |****|****| |****|****| | # |****| | | |****|****| |****|****| | # 8|****|****|****|****|****|****|****|****|****| | # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.49372984 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=10 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # |****| | | |****| | | | | | # 12|****| | | |****| | | | | | # |****| |****| |****| |****|****|****|****| # 8|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.74243489 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=10 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | |****| | | | |****| | | # | | |****|****| | | |****| | | # 12|****| |****|****| | | |****| | | # |****|****|****|****| | |****|****| |****| # 8|****|****|****|****| | |****|****| |****| # |****|****|****|****|****| |****|****|****|****| # 4|****|****|****|****|****| |****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.60161968 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=11 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | | | | | | | | | | # 12|****|****|****| |****| | | |****| | # |****|****|****| |****| | | |****|****| # 8|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.69294500 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=11 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | |****| | | | | | | | # | | |****| | | | | | | | # 12| |****|****| | |****| | | |****| # | |****|****| | |****| |****|****|****| # 8|****|****|****|****|****|****| |****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.66322566 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=12 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | |****| | | | | | | # |****| | |****| | | | |****| | # 12|****| | |****| | | | |****| | # |****|****|****|****| |****| | |****|****| # 8|****|****|****|****| |****| |****|****|****| # |****|****|****|****|****|****| |****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.34471107 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=12 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | |****|****| | | | | | # | | | |****|****| | | | | | # 12|****| | |****|****| | | |****| | # |****|****| |****|****| |****| |****| | # 8|****|****|****|****|****| |****| |****|****| # |****|****|****|****|****|****|****| |****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.45902987 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=13 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | |****| | | | | | | | # | | |****| | |****| | | | | # 12| | |****| | |****| |****| | | # | |****|****|****| |****|****|****| |****| # 8|****|****|****|****|****|****|****|****| |****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.77033555 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=13 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | | | | | | | | | | # 12| | |****| | | | |****|****| | # |****| |****|****|****| |****|****|****|****| # 8|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.99986337 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=14 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | |****| | | | | # | | | | | |****| | | | | # 12|****| | | |****|****| | |****|****| # |****| |****| |****|****|****| |****|****| # 8|****| |****|****|****|****|****| |****|****| # |****|****|****|****|****|****|****| |****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.94724523 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=14 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | | | | | | | |****|****| # 12|****| | | | | | | |****|****| # |****| | | |****|****| |****|****|****| # 8|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.47664359 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=15 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | | | | | | | | |****| # 12|****| |****|****| | | |****| |****| # |****|****|****|****|****| |****|****| |****| # 8|****|****|****|****|****| |****|****| |****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.89254853 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=15 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # | | |****| | | | | | | | # 12| |****|****| | | | | | |****| # | |****|****|****|****| |****|****|****|****| # 8|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.78325747 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 1 for STS Serial test for n=16 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| |****| | | | | | | | | # | |****| | | | |****| | | | # 12|****|****| | | |****|****| |****|****| # |****|****| | | |****|****|****|****|****| # 8|****|****| | | |****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.25025708 Assessment: PASSED at > 5% for STS Serial Test (Generalized) #================================================================== # Histogram of p-values # p-value 2 for STS Serial test for n=16 bits # Counting histogram bins, binscale = 0.100000 # 40| | | | | | | | | | | # | | | | | | | | | | | # 36| | | | | | | | | | | # | | | | | | | | | | | # 32| | | | | | | | | | | # | | | | | | | | | | | # 28| | | | | | | | | | | # | | | | | | | | | | | # 24| | | | | | | | | | | # | | | | | | | | | | | # 20| | | | | | | | | | | # | | | | | | | | | | | # 16| | | | | | | | | | | # |****| | | | | | | | | | # 12|****| | | | |****| |****|****|****| # |****|****| | |****|****| |****|****|****| # 8|****|****|****| |****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # 4|****|****|****|****|****|****|****|****|****|****| # |****|****|****|****|****|****|****|****|****|****| # |-------------------------------------------------- # | 0.1| 0.2| 0.3| 0.4| 0.5| 0.6| 0.7| 0.8| 0.9| 1.0| #================================================================== # Results Kuiper KS: p = 0.95360259 Assessment: PASSED at > 5% for STS Serial Test (Generalized)