xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting Crush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 500000000, r = 0, d = 4096, t = 2, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 29.802322 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.01677312, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16773120 Value of the statistic : 1.68e+7 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:06:36.74 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 300000000, r = 0, d = 64, t = 4, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 17.881393 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.027525119, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16515072 Value of the statistic : 1.65e+7 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:03:59.67 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 1048576, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 433 p-value of test : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278193 j = 1 : 99999134 j = 2 : 433 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:58.66 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 10, d = 1048576, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 474 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278234 j = 1 : 99999052 j = 2 : 474 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:58.29 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 1024, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 459 p-value of test : 0.43 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278219 j = 1 : 99999082 j = 2 : 459 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:14.96 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 20, d = 1024, t = 4, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 480 p-value of test : 0.12 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278240 j = 1 : 99999040 j = 2 : 480 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:15.25 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 32, t = 8, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 460 p-value of test : 0.41 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278220 j = 1 : 99999080 j = 2 : 460 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:15.19 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 25, d = 32, t = 8, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.75 Observed number of collisions : 428 p-value of test : 0.89 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278188 j = 1 : 99999144 j = 2 : 428 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:15.46 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 4, t = 20, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.74 Observed number of collisions : 471 p-value of test : 0.23 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278231 j = 1 : 99999058 j = 2 : 471 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:14.72 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 10, n = 10000000, r = 28, d = 4, t = 20, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 1099511627776 Expected number per cell = 1 / 109951.16 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 109951.16 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 454.74 Observed number of collisions : 423 p-value of test : 0.93 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278183 j = 1 : 99999154 j = 2 : 423 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:02:14.88 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 5, n = 20000000, r = 0, d = 2147483648, t = 2, p = 1 Number of cells = d^t = 4611686018427387904 Lambda = Poisson mean = 433.6809 ---------------------------------------------------- Total expected number = N*Lambda : 2168.40 Total observed number : 2190 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:02:39.61 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 5, n = 20000000, r = 0, d = 2097152, t = 3, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 1084.20 Total observed number : 1077 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:03:46.76 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 5, n = 20000000, r = 0, d = 65536, t = 4, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 108.4202 ---------------------------------------------------- Total expected number = N*Lambda : 542.10 Total observed number : 547 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:04:53.65 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, n = 20000000, r = 0, d = 512, t = 7, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 650.52 Total observed number : 642 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:04:57.01 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, n = 20000000, r = 7, d = 512, t = 7, p = 1 Number of cells = d^t = 9223372036854775808 Lambda = Poisson mean = 216.8404 ---------------------------------------------------- Total expected number = N*Lambda : 650.52 Total observed number : 604 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:04:57.78 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, n = 20000000, r = 14, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 108.4202 ---------------------------------------------------- Total expected number = N*Lambda : 325.26 Total observed number : 281 p-value of test : 0.9933 ----------------------------------------------- CPU time used : 00:05:38.17 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 3, n = 20000000, r = 22, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 108.4202 ---------------------------------------------------- Total expected number = N*Lambda : 325.26 Total observed number : 318 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:05:38.15 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 2000000, r = 0, t = 2, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.33 p-value of test : 0.92 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.19 p-value of test : 0.9927 Test on the Nm values of W_{n,i}(mNP1): 0.76 p-value of test : 0.51 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 315 p-value of test : 0.20 Stat. AD (mNP2) : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:39.80 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 2000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.97 p-value of test : 0.37 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.34 p-value of test : 0.90 Test on the Nm values of W_{n,i}(mNP1): 1.07 p-value of test : 0.32 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 298 p-value of test : 0.53 Stat. AD (mNP2) : 0.78 p-value of test : 0.49 Stat. AD after spacings (mNP2-S) : 0.93 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:00:57.00 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 7, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.82 p-value of test : 0.46 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.77 p-value of test : 0.50 Test on the Nm values of W_{n,i}(mNP1): 0.90 p-value of test : 0.41 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 138 p-value of test : 0.83 Stat. AD (mNP2) : 0.80 p-value of test : 0.48 Stat. AD after spacings (mNP2-S) : 1.39 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:01:12.86 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 4, n = 4000000, r = 0, t = 2 ----------------------------------------------- Max of all bit distances : 23.00 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:00:33.42 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 2, n = 4000000, r = 0, t = 4 ----------------------------------------------- Max of all bit distances : 10.00 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:31.82 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 13.53 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:07:13.02 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 26, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 14.38 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:07:14.67 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 26.74 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:07:12.47 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 24, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 33.49 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:07:14.09 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 31.56 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:03:46.02 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 28, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 33.56 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:03:46.64 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 55.23 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:05:33.17 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 35.61 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:05:34.56 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 109.63 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:08:57.01 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 27, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 102.19 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:08:58.68 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 0, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1839.48 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:14:16.31 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 22, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 2018.25 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:14:19.06 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Up = TRUE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 7.22 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:05:36.78 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 15, Up = FALSE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 4.17 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:05:38.42 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo smultin_Multinomial test: ----------------------------------------------- N = 1, n = 50000000, r = 0, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 13.77866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.03628799, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:05:50.67 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo smultin_Multinomial test: ----------------------------------------------- N = 1, n = 50000000, r = 15, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 13.77866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.03628799, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.63e+6 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:05:51.94 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo smultin_Multinomial test: ----------------------------------------------- N = 5, n = 10000000, r = 0, t = 13, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6227020800 Expected number per cell = 1 / 622.70208 EColl = n^2 / (2k) = 8029.521918 Hashing = TRUE Collision test, Mu = 8025.2245, Sigma = 89.5098 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 40126.12 Observed number of collisions : 40043 p-value of test : 0.66 ----------------------------- Total number of cells containing j balls j = 0 : 31085144043 j = 1 : 49919929 j = 2 : 40013 j = 3 : 15 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:07:48.39 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo smultin_Multinomial test: ----------------------------------------------- N = 5, n = 10000000, r = 15, t = 13, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6227020800 Expected number per cell = 1 / 622.70208 EColl = n^2 / (2k) = 8029.521918 Hashing = TRUE Collision test, Mu = 8025.2245, Sigma = 89.5098 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 40126.12 Observed number of collisions : 40145 p-value of test : 0.46 ----------------------------- Total number of cells containing j balls j = 0 : 31085144145 j = 1 : 49919731 j = 2 : 40103 j = 3 : 21 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:07:49.69 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_MaxOft test: ----------------------------------------------- N = 10, n = 10000000, r = 0, d = 100000, t = 5 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.45 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.90 Test on the sum of all N observations Number of degrees of freedom : 999990 Chi-square statistic : 1.00e+6 p-value of test : 0.59 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:06:26.25 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_MaxOft test: ----------------------------------------------- N = 5, n = 10000000, r = 0, d = 100000, t = 10 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.38 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.78 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.62 Test on the sum of all N observations Number of degrees of freedom : 499995 Chi-square statistic : 4.99e+5 p-value of test : 0.77 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.36 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.10 p-value of test : 0.84 Anderson-Darling statistic = A2 : 1.52 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:06:05.00 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_MaxOft test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 100000, t = 20 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Number of degrees of freedom : 99999 Chi-square statistic : 1.01e+5 p-value of test : 0.06 ----------------------------------------------- Anderson-Darling statistic : 0.67 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:21.78 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_MaxOft test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 100000, t = 30 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Number of degrees of freedom : 99999 Chi-square statistic : 1.00e+5 p-value of test : 0.29 ----------------------------------------------- Anderson-Darling statistic : 0.57 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:03:30.55 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 10 ----------------------------------------------- Anderson-Darling statistic : 0.21 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:11.87 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 30 ----------------------------------------------- Anderson-Darling statistic : 0.39 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:03:30.81 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleMean test: ----------------------------------------------- N = 10000000, n = 20, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.50e-4 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 1.50e-4 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.31 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:02:29.04 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.64 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:05:46.12 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 400000000, r = 0, s = 30, L = 15 Sequences of n = (K + Q)L = 6150000000 bits Q = 10000000 initialization blocks K = 400000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : 0.38 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:47.18 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 100000000, r = 20, s = 10, L = 15 Sequences of n = (K + Q)L = 1650000000 bits Q = 10000000 initialization blocks K = 100000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : 0.72 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:37.11 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 0, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 52.48 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:05:52.15 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 8, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 49.94 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:05:54.92 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 16, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 60.06 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:05:54.94 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 2000000, r = 24, k = 256, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 33.27 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:05:54.92 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SumCollector test: ----------------------------------------------- N = 1, n = 20000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 25 Chi-square statistic : 18.32 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:04:45.29 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 30, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 1.99 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:01:42.79 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 1.79 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:04:24.39 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 0, s = 30, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.70 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:02:21.46 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 20, s = 10, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.78 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:05:46.56 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 0, s = 30, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 8.89 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:54.52 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 20, s = 10, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.47 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:04:12.04 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_Savir2 test: ----------------------------------------------- N = 1, n = 20000000, r = 0, m = 1048576, t = 30 ----------------------------------------------- Number of degrees of freedom : 17 Chi-square statistic : 25.83 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:06:41.79 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_GCD test: ----------------------------------------------- N = 1, n = 100000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 2465 Chi2 statistic for GCD values : 2351.48 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:32.56 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_GCD test: ----------------------------------------------- N = 1, n = 40000000, r = 10, s = 20 ----------------------------------------------- Number of degrees of freedom : 1559 Chi2 statistic for GCD values : 1535.97 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:00:58.70 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L0 = 90, L1 = 90 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 46 ChiSquare statistic : 39.35 p-value of test : 0.75 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 47 ChiSquare statistic : 43.23 p-value of test : 0.63 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 44.73 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 36 ChiSquare statistic : 34.76 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 23 ChiSquare statistic : 15.16 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:17.49 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 10000000, r = 20, s = 10, L0 = 90, L1 = 90 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 44 ChiSquare statistic : 42.95 p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 45 ChiSquare statistic : 47.35 p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 52.20 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 35 ChiSquare statistic : 45.48 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 22 ChiSquare statistic : 27.79 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:01:08.02 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 5000000, r = 0, s = 30, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 140 ChiSquare statistic : 146.63 p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 141 ChiSquare statistic : 137.60 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 448.42 p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 132 ChiSquare statistic : 141.98 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 72 ChiSquare statistic : 64.91 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:02:31.90 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 128 ChiSquare statistic : 104.55 p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 130 ChiSquare statistic : 151.92 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 461.55 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 122 ChiSquare statistic : 113.66 p-value of test : 0.69 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 66 ChiSquare statistic : 69.65 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:01:14.95 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 500000, r = 0, s = 30, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 366 ChiSquare statistic : 322.46 p-value of test : 0.95 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 366 ChiSquare statistic : 317.50 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5077.91 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 360 ChiSquare statistic : 369.17 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 192 ChiSquare statistic : 184.61 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:02:29.08 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 100000, r = 20, s = 10, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 318 ChiSquare statistic : 309.74 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 318 ChiSquare statistic : 379.52 p-value of test : 0.01 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4925.40 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 309.26 p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 172.82 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:14.72 Generator state: *********************************************************** HOST = kryptera, Linux Theo scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 6.41 p-value of test : 0.78 ----------------------------------------------- Normal statistic for number of jumps : -1.47 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:00:11.84 Generator state: *********************************************************** HOST = kryptera, Linux Theo scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 13.45 p-value of test : 0.20 ----------------------------------------------- Normal statistic for number of jumps : -0.30 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:00:11.90 Generator state: *********************************************************** HOST = kryptera, Linux Theo scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 33554432, r = 0, s = 30, k = 25 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.25 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.089 p-value of test : 0.81 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 Tests on the sum of all N observations Standardized normal statistic : -0.41 p-value of test : 0.66 Sample variance : 1.57 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:00:25.22 Generator state: *********************************************************** HOST = kryptera, Linux Theo sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 0, s = 30, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.015 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 7.54e-3 p-value of test : 0.62 Anderson-Darling statistic = A2 : 0.80 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:00:42.50 Generator state: *********************************************************** HOST = kryptera, Linux Theo sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 20, s = 10, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 6.23e-3 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 5.45e-3 p-value of test : 0.78 Anderson-Darling statistic = A2 : 0.26 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:01:19.11 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 30, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 5.01 p-value of test : 0.76 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:04:29.15 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 300, r = 20, s = 10, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 10.02 p-value of test : 0.19 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:03:36.20 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 302 Chi-square statistic : 292.66 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:03:37.31 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 15, s = 15 ----------------------------------------------- Number of degrees of freedom : 56 Chi-square statistic : 63.26 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:03:32.74 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingWeight2 test: ----------------------------------------------- N = 100, n = 100000000, r = 0, s = 30, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.024 p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 0.084 p-value of test : 0.23 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10136.87 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:03:49.06 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingWeight2 test: ----------------------------------------------- N = 30, n = 100000000, r = 20, s = 10, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.044 p-value of test : 0.86 Anderson-Darling statistic = A2 : 0.99 p-value of test : 0.36 Test on the sum of all N observations Number of degrees of freedom : 3000 Chi-square statistic : 2947.56 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:03:24.00 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, s = 30, L = 30 ----------------------------------------------- Normal statistic : 0.21 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:05:45.47 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L = 300 ----------------------------------------------- Normal statistic : -0.014 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:05:44.11 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200 ----------------------------------------------- Normal statistic : -1.49 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:04:34.97 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 577 Chi-square statistic : 562.47 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:06:54.93 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 100000000, r = 20, s = 10, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 533 Chi-square statistic : 591.48 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:06:50.86 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 30000000, r = 0, s = 30, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 Chi-square statistic : 3981.38 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:06:53.11 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 20, s = 10, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 3585 Chi-square statistic : 3651.12 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:06:48.97 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 Chi-square statistic :11853.36 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:09:10.63 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 7473 Chi-square statistic : 7507.93 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:02:43.68 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 30 ----------------------------------------------- Total number of 1 runs: 1000000004 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 54.12 p-value of test : 0.39 ----------------------------------------------- Total number of bits: 4000074060 Normal statistic for number of bits : 0.83 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:01:48.06 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 20, s = 10 ----------------------------------------------- Total number of 1 runs: 1000000000 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 67.88 p-value of test : 0.07 ----------------------------------------------- Total number of bits: 3999972250 Normal statistic for number of bits : -0.31 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:04:49.68 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000021, r = 0, s = 30, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.087 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.81 Tests on the sum of all N observations Standardized normal statistic : -0.43 p-value of test : 0.67 Sample variance : 1.38 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:03:59.79 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000001, r = 20, s = 10, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.40 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.45 Tests on the sum of all N observations Standardized normal statistic : 1.15 p-value of test : 0.12 Sample variance : 1.45 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:05:55.56 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000020, r = 0, s = 30, d = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.099 p-value of test : 0.77 Kolmogorov-Smirnov- statistic = D- : 0.29 p-value of test : 0.16 Anderson-Darling statistic = A2 : 2.16 p-value of test : 0.08 Tests on the sum of all N observations Standardized normal statistic : 1.68 p-value of test : 0.05 Sample variance : 2.03 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:03:58.27 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000010, r = 20, s = 10, d = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.63 Kolmogorov-Smirnov- statistic = D- : 0.31 p-value of test : 0.32 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.81 Tests on the sum of all N observations Standardized normal statistic : 6.25e-3 p-value of test : 0.50 Sample variance : 0.82 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:05:53.15 Generator state: ========= Summary results of Crush ========= Version: TestU01 1.2.3 Generator: Theo Number of statistics: 144 Total CPU time: 06:51:03.27 All tests were passed