github.com/cznic/mathutil@v0.0.0-20181122101859-297441e03548/nist-sts-2-1-1-report (about) 1 $ ./example -max 100000000 > rnd.dat 2 $ ./assess 1000000 3 G E N E R A T O R S E L E C T I O N 4 ______________________________________ 5 6 [0] Input File [1] Linear Congruential 7 [2] Quadratic Congruential I [3] Quadratic Congruential II 8 [4] Cubic Congruential [5] XOR 9 [6] Modular Exponentiation [7] Blum-Blum-Shub 10 [8] Micali-Schnorr [9] G Using SHA-1 11 12 Enter Choice: 0 13 14 15 User Prescribed Input File: rnd.dat 16 17 S T A T I S T I C A L T E S T S 18 _________________________________ 19 20 [01] Frequency [02] Block Frequency 21 [03] Cumulative Sums [04] Runs 22 [05] Longest Run of Ones [06] Rank 23 [07] Discrete Fourier Transform [08] Nonperiodic Template Matchings 24 [09] Overlapping Template Matchings [10] Universal Statistical 25 [11] Approximate Entropy [12] Random Excursions 26 [13] Random Excursions Variant [14] Serial 27 [15] Linear Complexity 28 29 INSTRUCTIONS 30 Enter 0 if you DO NOT want to apply all of the 31 statistical tests to each sequence and 1 if you DO. 32 33 Enter Choice: 1 34 35 P a r a m e t e r A d j u s t m e n t s 36 ----------------------------------------- 37 [1] Block Frequency Test - block length(M): 128 38 [2] NonOverlapping Template Test - block length(m): 9 39 [3] Overlapping Template Test - block length(m): 9 40 [4] Approximate Entropy Test - block length(m): 10 41 [5] Serial Test - block length(m): 16 42 [6] Linear Complexity Test - block length(M): 500 43 44 Select Test (0 to continue): 0 45 46 How many bitstreams? 200 47 48 Input File Format: 49 [0] ASCII - A sequence of ASCII 0's and 1's 50 [1] Binary - Each byte in data file contains 8 bits of data 51 52 Select input mode: 1 53 54 Statistical Testing In Progress......... 55 56 Statistical Testing Complete!!!!!!!!!!!! 57 58 $ cat experiments/AlgorithmTesting/finalAnalysisReport.txt 59 ------------------------------------------------------------------------------ 60 RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES 61 ------------------------------------------------------------------------------ 62 generator is <rnd.dat> 63 ------------------------------------------------------------------------------ 64 C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST 65 ------------------------------------------------------------------------------ 66 28 22 17 19 15 8 24 23 19 25 0.093720 198/200 Frequency 67 20 18 24 14 18 17 16 28 21 24 0.504219 199/200 BlockFrequency 68 25 22 17 24 19 21 22 15 16 19 0.825505 197/200 CumulativeSums 69 27 17 16 22 14 26 14 25 19 20 0.304126 199/200 CumulativeSums 70 22 19 14 23 22 22 13 28 13 24 0.224821 199/200 Runs 71 20 24 18 21 15 13 22 23 24 20 0.719747 197/200 LongestRun 72 22 26 18 22 26 15 17 22 20 12 0.410055 199/200 Rank 73 25 22 26 22 20 16 20 20 16 13 0.585209 195/200 FFT 74 22 11 15 26 33 24 21 13 14 21 0.013102 197/200 NonOverlappingTemplate 75 17 11 16 27 19 24 19 20 28 19 0.219006 200/200 NonOverlappingTemplate 76 23 27 24 15 21 11 18 27 15 19 0.162606 197/200 NonOverlappingTemplate 77 21 18 13 20 19 23 20 17 26 23 0.749884 197/200 NonOverlappingTemplate 78 24 22 24 24 24 21 13 15 17 16 0.494392 196/200 NonOverlappingTemplate 79 24 16 23 15 23 18 25 16 18 22 0.699313 199/200 NonOverlappingTemplate 80 19 23 21 16 27 18 17 20 18 21 0.859637 198/200 NonOverlappingTemplate 81 12 20 16 19 26 14 30 20 24 19 0.141256 198/200 NonOverlappingTemplate 82 18 21 17 21 20 14 25 19 24 21 0.859637 198/200 NonOverlappingTemplate 83 24 25 21 18 23 15 23 17 16 18 0.749884 199/200 NonOverlappingTemplate 84 20 22 22 18 16 22 28 16 14 22 0.574903 198/200 NonOverlappingTemplate 85 18 23 22 17 24 25 19 16 23 13 0.626709 199/200 NonOverlappingTemplate 86 17 22 14 19 21 21 18 19 24 25 0.842937 198/200 NonOverlappingTemplate 87 18 17 26 21 22 15 22 18 21 20 0.883171 197/200 NonOverlappingTemplate 88 19 25 16 32 15 19 20 18 16 20 0.236810 199/200 NonOverlappingTemplate 89 19 18 15 21 24 22 18 21 20 22 0.964295 200/200 NonOverlappingTemplate 90 21 14 17 23 26 19 20 22 20 18 0.834308 196/200 NonOverlappingTemplate 91 15 21 17 27 26 23 21 17 24 9 0.129620 198/200 NonOverlappingTemplate 92 25 17 19 19 18 22 21 22 21 16 0.951205 196/200 NonOverlappingTemplate 93 20 19 24 21 19 24 16 18 17 22 0.946308 197/200 NonOverlappingTemplate 94 27 16 19 18 23 19 22 17 22 17 0.807412 197/200 NonOverlappingTemplate 95 14 18 21 23 23 20 14 22 20 25 0.719747 198/200 NonOverlappingTemplate 96 18 22 19 12 24 25 25 22 18 15 0.474986 198/200 NonOverlappingTemplate 97 21 18 23 17 19 18 28 19 20 17 0.825505 198/200 NonOverlappingTemplate 98 20 19 15 16 27 20 26 17 20 20 0.657933 198/200 NonOverlappingTemplate 99 17 25 21 21 11 19 22 16 27 21 0.401199 198/200 NonOverlappingTemplate 100 19 16 15 18 24 19 25 25 19 20 0.769527 199/200 NonOverlappingTemplate 101 18 20 20 26 20 12 24 25 19 16 0.524101 198/200 NonOverlappingTemplate 102 14 16 18 23 21 21 19 19 28 21 0.668321 197/200 NonOverlappingTemplate 103 21 20 23 25 21 22 19 17 14 18 0.875539 197/200 NonOverlappingTemplate 104 14 16 29 22 23 13 20 29 17 17 0.099513 197/200 NonOverlappingTemplate 105 14 19 27 19 17 23 18 24 20 19 0.709558 199/200 NonOverlappingTemplate 106 18 15 21 19 27 22 21 23 17 17 0.779188 198/200 NonOverlappingTemplate 107 13 23 13 22 22 23 22 21 21 20 0.689019 199/200 NonOverlappingTemplate 108 17 14 26 26 16 21 30 15 21 14 0.096578 199/200 NonOverlappingTemplate 109 18 21 24 23 21 13 23 23 19 15 0.719747 197/200 NonOverlappingTemplate 110 19 21 14 32 20 15 16 18 24 21 0.202268 199/200 NonOverlappingTemplate 111 27 22 20 21 21 14 15 22 14 24 0.474986 196/200 NonOverlappingTemplate 112 31 12 25 11 21 18 19 16 24 23 0.050305 197/200 NonOverlappingTemplate 113 17 26 20 22 15 27 22 19 12 20 0.383827 199/200 NonOverlappingTemplate 114 15 22 14 14 31 15 27 18 23 21 0.078086 194/200 NonOverlappingTemplate 115 19 19 14 15 24 21 25 21 20 22 0.788728 197/200 NonOverlappingTemplate 116 20 21 19 22 25 18 13 24 28 10 0.153763 195/200 NonOverlappingTemplate 117 23 17 21 25 21 20 13 30 14 16 0.196920 196/200 NonOverlappingTemplate 118 17 31 17 22 16 15 28 23 11 20 0.050305 197/200 NonOverlappingTemplate 119 15 21 26 27 15 18 19 21 18 20 0.605916 198/200 NonOverlappingTemplate 120 23 18 15 14 20 21 20 20 20 29 0.554420 200/200 NonOverlappingTemplate 121 22 19 19 18 19 17 22 21 31 12 0.311542 199/200 NonOverlappingTemplate 122 16 22 23 21 19 19 18 24 21 17 0.960198 197/200 NonOverlappingTemplate 123 21 21 17 20 16 23 25 22 18 17 0.917870 200/200 NonOverlappingTemplate 124 27 17 17 16 21 20 22 18 21 21 0.859637 197/200 NonOverlappingTemplate 125 18 24 15 27 18 21 18 16 24 19 0.657933 199/200 NonOverlappingTemplate 126 13 16 21 21 15 25 18 22 29 20 0.326749 198/200 NonOverlappingTemplate 127 18 17 23 23 15 19 26 30 11 18 0.125927 198/200 NonOverlappingTemplate 128 30 21 18 22 17 21 15 17 21 18 0.544254 195/200 NonOverlappingTemplate 129 12 18 19 24 16 24 18 24 28 17 0.311542 199/200 NonOverlappingTemplate 130 20 15 23 15 18 30 23 18 17 21 0.410055 196/200 NonOverlappingTemplate 131 15 18 23 16 29 21 22 16 19 21 0.544254 200/200 NonOverlappingTemplate 132 18 16 27 13 21 22 22 21 16 24 0.534146 199/200 NonOverlappingTemplate 133 20 25 18 21 16 21 17 28 21 13 0.484646 200/200 NonOverlappingTemplate 134 23 22 13 22 14 20 26 18 19 23 0.574903 197/200 NonOverlappingTemplate 135 21 24 25 13 19 22 18 13 24 21 0.504219 199/200 NonOverlappingTemplate 136 19 13 18 25 22 15 23 28 19 18 0.410055 195/200 NonOverlappingTemplate 137 20 15 27 22 26 26 14 13 21 16 0.181557 198/200 NonOverlappingTemplate 138 18 18 19 23 18 20 19 21 24 20 0.991468 200/200 NonOverlappingTemplate 139 18 23 17 14 20 25 22 22 22 17 0.816537 198/200 NonOverlappingTemplate 140 26 15 15 11 23 21 21 16 36 16 0.005557 196/200 NonOverlappingTemplate 141 27 13 21 23 21 16 19 20 16 24 0.544254 198/200 NonOverlappingTemplate 142 16 15 32 17 20 23 22 19 20 16 0.262249 200/200 NonOverlappingTemplate 143 26 19 24 13 24 16 18 18 13 29 0.137282 199/200 NonOverlappingTemplate 144 15 18 14 27 32 21 15 20 19 19 0.112047 198/200 NonOverlappingTemplate 145 22 23 22 18 20 23 19 22 16 15 0.924076 196/200 NonOverlappingTemplate 146 18 17 21 22 14 17 22 24 20 25 0.798139 199/200 NonOverlappingTemplate 147 15 17 19 24 21 23 17 25 23 16 0.739918 196/200 NonOverlappingTemplate 148 22 11 15 26 32 25 21 13 14 21 0.017305 197/200 NonOverlappingTemplate 149 22 16 19 23 22 21 21 19 17 20 0.985788 200/200 NonOverlappingTemplate 150 22 28 18 24 14 20 23 21 20 10 0.230755 198/200 NonOverlappingTemplate 151 14 13 22 28 14 28 17 22 23 19 0.129620 197/200 NonOverlappingTemplate 152 22 16 22 20 21 21 16 19 18 25 0.935716 198/200 NonOverlappingTemplate 153 15 20 23 17 19 22 21 23 18 22 0.951205 200/200 NonOverlappingTemplate 154 20 24 21 19 17 19 19 24 15 22 0.930026 198/200 NonOverlappingTemplate 155 18 21 15 21 17 28 24 22 20 14 0.534146 200/200 NonOverlappingTemplate 156 19 15 19 19 20 20 15 25 23 25 0.779188 198/200 NonOverlappingTemplate 157 17 24 25 16 15 21 18 19 23 22 0.788728 198/200 NonOverlappingTemplate 158 15 20 18 25 24 15 21 31 18 13 0.141256 200/200 NonOverlappingTemplate 159 24 17 19 20 18 21 15 22 24 20 0.924076 196/200 NonOverlappingTemplate 160 23 18 17 21 17 28 23 21 18 14 0.605916 197/200 NonOverlappingTemplate 161 21 19 22 23 16 17 20 21 22 19 0.985788 200/200 NonOverlappingTemplate 162 27 17 21 27 24 15 15 17 15 22 0.304126 199/200 NonOverlappingTemplate 163 25 28 20 24 13 14 16 22 19 19 0.304126 197/200 NonOverlappingTemplate 164 27 16 14 24 22 18 24 20 18 17 0.564639 196/200 NonOverlappingTemplate 165 18 18 24 19 19 19 26 11 27 19 0.375313 195/200 NonOverlappingTemplate 166 20 15 29 19 26 16 21 11 18 25 0.141256 197/200 NonOverlappingTemplate 167 19 14 21 25 11 23 22 25 26 14 0.176657 199/200 NonOverlappingTemplate 168 18 23 20 17 19 18 29 22 26 8 0.102526 199/200 NonOverlappingTemplate 169 22 17 18 16 18 20 19 19 25 26 0.834308 198/200 NonOverlappingTemplate 170 25 18 14 16 16 24 18 18 30 21 0.268917 198/200 NonOverlappingTemplate 171 24 21 23 13 12 22 20 23 20 22 0.554420 196/200 NonOverlappingTemplate 172 18 21 21 30 22 17 19 14 18 20 0.534146 197/200 NonOverlappingTemplate 173 25 20 22 21 15 18 17 20 17 25 0.825505 199/200 NonOverlappingTemplate 174 18 21 22 21 18 20 26 16 20 18 0.941144 197/200 NonOverlappingTemplate 175 23 18 22 25 12 16 17 19 26 22 0.474986 198/200 NonOverlappingTemplate 176 22 18 29 23 19 23 17 17 15 17 0.534146 198/200 NonOverlappingTemplate 177 19 21 17 26 18 15 22 26 15 21 0.626709 197/200 NonOverlappingTemplate 178 16 20 20 23 18 21 18 18 25 21 0.955835 199/200 NonOverlappingTemplate 179 23 21 20 21 22 10 15 27 15 26 0.186566 198/200 NonOverlappingTemplate 180 18 26 20 26 26 18 17 17 20 12 0.358641 198/200 NonOverlappingTemplate 181 24 20 21 18 24 12 19 27 14 21 0.401199 195/200 NonOverlappingTemplate 182 16 25 15 21 24 18 18 25 22 16 0.657933 199/200 NonOverlappingTemplate 183 24 14 17 26 15 17 17 25 21 24 0.428095 200/200 NonOverlappingTemplate 184 22 24 11 20 22 24 19 18 12 28 0.176657 196/200 NonOverlappingTemplate 185 27 16 27 18 27 14 13 16 21 21 0.141256 197/200 NonOverlappingTemplate 186 23 25 20 18 23 17 15 23 19 17 0.834308 196/200 NonOverlappingTemplate 187 19 21 20 27 16 16 18 25 16 22 0.678686 199/200 NonOverlappingTemplate 188 25 22 21 19 15 19 22 19 25 13 0.657933 197/200 NonOverlappingTemplate 189 19 28 21 25 20 12 18 13 29 15 0.073417 198/200 NonOverlappingTemplate 190 20 24 21 19 21 15 17 24 20 19 0.941144 198/200 NonOverlappingTemplate 191 18 29 23 17 24 19 17 18 16 19 0.585209 200/200 NonOverlappingTemplate 192 18 28 18 16 25 21 18 20 14 22 0.544254 198/200 NonOverlappingTemplate 193 22 19 23 22 22 21 21 26 12 12 0.401199 199/200 NonOverlappingTemplate 194 22 15 25 16 21 27 14 22 21 17 0.484646 199/200 NonOverlappingTemplate 195 18 25 20 23 30 17 13 22 18 14 0.213309 200/200 NonOverlappingTemplate 196 20 23 21 21 23 29 16 13 16 18 0.410055 199/200 NonOverlappingTemplate 197 21 19 16 22 31 18 20 17 18 18 0.514124 198/200 NonOverlappingTemplate 198 26 22 12 14 23 17 21 24 21 20 0.455937 197/200 NonOverlappingTemplate 199 21 17 18 17 14 32 21 26 18 16 0.162606 197/200 NonOverlappingTemplate 200 22 24 22 23 11 15 17 18 29 19 0.230755 198/200 NonOverlappingTemplate 201 19 27 20 19 23 15 24 15 21 17 0.657933 198/200 NonOverlappingTemplate 202 20 25 16 10 24 13 23 21 21 27 0.149495 200/200 NonOverlappingTemplate 203 19 21 21 27 17 17 19 21 21 17 0.904708 200/200 NonOverlappingTemplate 204 18 23 15 19 24 21 23 21 13 23 0.719747 198/200 NonOverlappingTemplate 205 26 16 28 19 19 18 17 17 16 24 0.474986 199/200 NonOverlappingTemplate 206 24 32 17 18 20 13 18 18 19 21 0.236810 195/200 NonOverlappingTemplate 207 26 25 18 17 12 19 20 23 21 19 0.585209 196/200 NonOverlappingTemplate 208 18 26 25 12 18 16 24 19 18 24 0.410055 199/200 NonOverlappingTemplate 209 27 21 22 27 21 14 18 14 23 13 0.219006 197/200 NonOverlappingTemplate 210 18 23 24 16 19 21 16 26 20 17 0.798139 199/200 NonOverlappingTemplate 211 19 30 15 27 14 19 24 11 22 19 0.073417 198/200 NonOverlappingTemplate 212 20 23 22 20 22 15 22 21 18 17 0.964295 198/200 NonOverlappingTemplate 213 22 31 16 26 13 19 17 22 24 10 0.037566 197/200 NonOverlappingTemplate 214 18 24 22 14 23 19 16 18 19 27 0.637119 197/200 NonOverlappingTemplate 215 19 20 21 22 21 18 19 22 20 18 0.999438 198/200 NonOverlappingTemplate 216 27 15 21 18 28 18 15 23 18 17 0.375313 195/200 NonOverlappingTemplate 217 26 23 20 20 23 19 20 23 14 12 0.514124 199/200 NonOverlappingTemplate 218 18 19 11 15 21 24 20 26 23 23 0.428095 198/200 NonOverlappingTemplate 219 19 16 21 25 19 21 15 24 24 16 0.749884 197/200 NonOverlappingTemplate 220 17 26 23 18 20 26 23 14 18 15 0.494392 198/200 NonOverlappingTemplate 221 15 17 19 24 21 23 17 25 23 16 0.739918 196/200 NonOverlappingTemplate 222 26 19 20 20 24 22 22 13 14 20 0.605916 198/200 OverlappingTemplate 223 29 24 17 21 18 13 18 21 17 22 0.446556 196/200 Universal 224 22 18 22 20 20 21 22 21 18 16 0.992952 198/200 ApproximateEntropy 225 14 8 13 9 11 13 13 8 7 10 0.719747 106/106 RandomExcursions 226 13 18 9 7 12 12 9 6 12 8 0.236810 104/106 RandomExcursions 227 11 15 10 7 11 14 9 6 12 11 0.595549 106/106 RandomExcursions 228 15 7 12 12 9 11 16 8 10 6 0.350485 106/106 RandomExcursions 229 10 10 12 16 10 12 10 7 13 6 0.554420 106/106 RandomExcursions 230 8 7 12 10 11 16 11 13 10 8 0.657933 106/106 RandomExcursions 231 9 6 12 12 14 9 11 13 10 10 0.816537 104/106 RandomExcursions 232 10 10 7 12 11 9 10 13 14 10 0.911413 105/106 RandomExcursions 233 8 8 12 9 10 5 13 12 17 12 0.319084 104/106 RandomExcursionsVariant 234 5 11 10 11 7 11 10 15 11 15 0.455937 104/106 RandomExcursionsVariant 235 6 12 11 8 12 12 12 13 13 7 0.699313 104/106 RandomExcursionsVariant 236 14 10 11 6 12 9 8 12 11 13 0.779188 104/106 RandomExcursionsVariant 237 12 12 10 7 17 6 6 12 13 11 0.262249 103/106 RandomExcursionsVariant 238 13 8 14 13 7 6 6 13 15 11 0.249284 102/106 RandomExcursionsVariant 239 12 12 12 13 7 9 6 13 12 10 0.739918 105/106 RandomExcursionsVariant 240 13 15 12 8 9 10 6 9 14 10 0.574903 106/106 RandomExcursionsVariant 241 10 15 9 12 14 10 8 11 7 10 0.739918 105/106 RandomExcursionsVariant 242 13 12 8 11 12 11 9 10 11 9 0.978072 103/106 RandomExcursionsVariant 243 10 13 12 12 8 13 8 9 14 7 0.739918 104/106 RandomExcursionsVariant 244 12 10 10 14 7 8 7 13 14 11 0.657933 106/106 RandomExcursionsVariant 245 10 13 10 10 13 10 12 6 10 12 0.897763 106/106 RandomExcursionsVariant 246 9 12 15 8 13 8 12 8 11 10 0.779188 106/106 RandomExcursionsVariant 247 9 13 15 10 10 10 8 14 6 11 0.616305 106/106 RandomExcursionsVariant 248 7 17 9 12 9 11 10 16 4 11 0.129620 106/106 RandomExcursionsVariant 249 10 9 10 15 7 12 7 8 12 16 0.419021 106/106 RandomExcursionsVariant 250 9 12 11 8 8 9 15 12 9 13 0.798139 106/106 RandomExcursionsVariant 251 17 34 11 22 22 17 19 20 13 25 0.026057 199/200 Serial 252 22 20 16 22 20 18 20 18 23 21 0.989786 199/200 Serial 253 12 33 25 29 21 11 21 15 14 19 0.003996 199/200 LinearComplexity 254 255 256 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 257 The minimum pass rate for each statistical test with the exception of the 258 random excursion (variant) test is approximately = 193 for a 259 sample size = 200 binary sequences. 260 261 The minimum pass rate for the random excursion (variant) test 262 is approximately = 101 for a sample size = 106 binary sequences. 263 264 For further guidelines construct a probability table using the MAPLE program 265 provided in the addendum section of the documentation. 266 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 267 $