xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting Crush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 0.82 ----------------------------------------------- CPU time used : 00:01:33.68 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 0.91 ----------------------------------------------- CPU time used : 00:00:59.28 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 417 p-value of test : 0.96 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278177 j = 1 : 99999166 j = 2 : 417 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:00:45.34 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 438 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278198 j = 1 : 99999124 j = 2 : 438 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:00:45.58 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 455 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278215 j = 1 : 99999090 j = 2 : 455 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:02.93 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 450 p-value of test : 0.58 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278210 j = 1 : 99999100 j = 2 : 450 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:02.38 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 418 p-value of test : 0.96 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278178 j = 1 : 99999164 j = 2 : 418 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:02.51 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 452 p-value of test : 0.54 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278212 j = 1 : 99999096 j = 2 : 452 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:02.66 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 483 p-value of test : 0.10 ----------------------------- Total number of cells containing j balls j = 0 : 10995016278243 j = 1 : 99999034 j = 2 : 483 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:02.84 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = clone, Linux OpenSSL 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 : 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 : 00:01:02.38 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 2235 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:31.87 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 1044 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:00:38.10 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 554 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:00:44.98 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 647 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:00:37.98 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 685 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:00:38.35 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 339 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:00:42.23 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 343 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:42.22 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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) : 0.41 p-value of test : 0.83 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) : 0.62 p-value of test : 0.63 Test on the Nm values of W_{n,i}(mNP1): 0.39 p-value of test : 0.86 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 309 p-value of test : 0.31 Stat. AD (mNP2) : 1.01 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:11.11 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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) : 0.59 p-value of test : 0.66 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) : 1.28 p-value of test : 0.24 Test on the Nm values of W_{n,i}(mNP1): 0.64 p-value of test : 0.61 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 300 p-value of test : 0.51 Stat. AD (mNP2) : 0.60 p-value of test : 0.65 Stat. AD after spacings (mNP2-S) : 0.44 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:00:17.29 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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) : 1.12 p-value of test : 0.30 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) : 0.54 p-value of test : 0.69 Test on the Nm values of W_{n,i}(mNP1): 0.78 p-value of test : 0.50 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 154 p-value of test : 0.38 Stat. AD (mNP2) : 0.95 p-value of test : 0.39 Stat. AD after spacings (mNP2-S) : 1.26 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:00:27.08 Generator state: *********************************************************** HOST = clone, Linux OpenSSL snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 4, n = 4000000, r = 0, t = 2 ----------------------------------------------- Max of all bit distances : 21.00 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:00:11.69 Generator state: *********************************************************** HOST = clone, Linux OpenSSL snpair_ClosePairsBitMatch test: ----------------------------------------------- N = 2, n = 4000000, r = 0, t = 4 ----------------------------------------------- Max of all bit distances : 11.00 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:00:10.67 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 10.04 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:00:40.82 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 40000000, r = 26, d = 16, k = 16 ----------------------------------------------- Number of degrees of freedom : 12 Chi-square statistic : 10.42 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:00:42.46 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 13.25 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:00:40.74 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 10000000, r = 24, d = 64, k = 64 ----------------------------------------------- Number of degrees of freedom : 23 Chi-square statistic : 39.59 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:00:42.35 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 0, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 34.83 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:00:21.54 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 40000000, r = 28, d = 4 ----------------------------------------------- Number of degrees of freedom : 51 Chi-square statistic : 50.47 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:00:22.48 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 0, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 26.88 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:00:30.81 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 10000000, r = 26, d = 16 ----------------------------------------------- Number of degrees of freedom : 46 Chi-square statistic : 53.19 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:32.06 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 102.80 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:00:46.85 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 27, Alpha = 0, Beta = 0.125 ----------------------------------------------- Number of degrees of freedom : 106 Chi-square statistic : 129.03 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:00:47.77 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 0, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 2027.96 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:01:12.53 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_Gap test: ----------------------------------------------- N = 1, n = 5000000, r = 22, Alpha = 0, Beta = 0.00390625 ----------------------------------------------- Number of degrees of freedom : 1936 Chi-square statistic : 1873.46 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:13.74 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Up = TRUE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 5.07 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:00:30.61 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sknuth_Run test: ----------------------------------------------- N = 1, n = 500000000, r = 15, Up = FALSE ----------------------------------------------- Number of degrees of freedom : 6 Chi-square statistic : 5.03 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:00:31.28 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = clone, Linux OpenSSL 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 : 0.05 ----------------------------------------------- CPU time used : 00:00:46.28 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = clone, Linux OpenSSL 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 : 0.65 ----------------------------------------------- CPU time used : 00:00:46.74 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = clone, Linux OpenSSL 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 : 40071 p-value of test : 0.61 ----------------------------- Total number of cells containing j balls j = 0 : 31085144071 j = 1 : 49919889 j = 2 : 40009 j = 3 : 31 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:36.72 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = clone, Linux OpenSSL 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 : 40375 p-value of test : 0.11 ----------------------------- Total number of cells containing j balls j = 0 : 31085144375 j = 1 : 49919266 j = 2 : 40343 j = 3 : 16 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:01:37.28 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.81 Test on the sum of all N observations Number of degrees of freedom : 999990 Chi-square statistic : 1.00e+6 p-value of test : 0.41 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.68 Anderson-Darling statistic = A2 : 0.97 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:01:01.79 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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+ : 0.44 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.013 p-value of test : 0.99 Anderson-Darling statistic = A2 : 1.82 p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 499995 Chi-square statistic : 4.98e+5 p-value of test : 0.96 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.83 Kolmogorov-Smirnov- statistic = D- : 0.44 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.33 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:46.57 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 1.00e+5 p-value of test : 0.14 ----------------------------------------------- Anderson-Darling statistic : 0.39 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:00:15.28 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 1.01e+5 p-value of test : 0.02 ----------------------------------------------- Anderson-Darling statistic : 0.36 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:00:21.31 Generator state: *********************************************************** HOST = clone, Linux OpenSSL svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 10 ----------------------------------------------- Anderson-Darling statistic : 0.083 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:00:08.02 Generator state: *********************************************************** HOST = clone, Linux OpenSSL svaria_SampleProd test: ----------------------------------------------- N = 1, n = 10000000, r = 0, t = 30 ----------------------------------------------- Anderson-Darling statistic : 0.91 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:00:20.59 Generator state: *********************************************************** HOST = clone, Linux OpenSSL svaria_SampleMean test: ----------------------------------------------- N = 10000000, n = 20, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.62e-4 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 2.11e-4 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:00:18.82 Generator state: *********************************************************** HOST = clone, Linux OpenSSL svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 1.12 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:00:32.42 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 0.19 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:00:32.48 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 0.21 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:00:18.34 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 45.60 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:00:29.48 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 34.92 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:00:30.07 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 46.03 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:30.09 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 59.67 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:00:30.07 Generator state: *********************************************************** HOST = clone, Linux OpenSSL svaria_SumCollector test: ----------------------------------------------- N = 1, n = 20000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 25 Chi-square statistic : 25.65 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:00:23.65 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 30, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 1.77 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:00:24.84 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 1000000, r = 20, s = 10, L = 60, k = 60 ----------------------------------------------- Number of degrees of freedom : 4 Chi-square statistic : 2.64 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:00:40.69 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 0, s = 30, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 3.28 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:41.53 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 50000, r = 20, s = 10, L = 300, k = 300 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.77 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:06.67 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 0, s = 30, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 2.28 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:00:48.21 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 2000, r = 20, s = 10, L = 1200, k = 1200 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 8.16 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:18.13 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_Savir2 test: ----------------------------------------------- N = 1, n = 20000000, r = 0, m = 1048576, t = 30 ----------------------------------------------- Number of degrees of freedom : 17 Chi-square statistic : 12.75 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:00:34.73 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_GCD test: ----------------------------------------------- N = 1, n = 100000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 2465 Chi2 statistic for GCD values : 2446.34 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:00:28.92 Generator state: *********************************************************** HOST = clone, Linux OpenSSL smarsa_GCD test: ----------------------------------------------- N = 1, n = 40000000, r = 10, s = 20 ----------------------------------------------- Number of degrees of freedom : 1559 Chi2 statistic for GCD values : 1532.61 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:00:09.32 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 39.61 p-value of test : 0.74 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 47 ChiSquare statistic : 50.30 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 43.02 p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 36 ChiSquare statistic : 39.00 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 23 ChiSquare statistic : 29.02 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:00:37.88 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 58.94 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 45 ChiSquare statistic : 55.54 p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 45 ChiSquare statistic : 53.97 p-value of test : 0.17 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 35 ChiSquare statistic : 40.15 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 22 ChiSquare statistic : 23.61 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:11.90 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 148.62 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 141 ChiSquare statistic : 148.15 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 496.27 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 132 ChiSquare statistic : 119.98 p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 72 ChiSquare statistic : 62.03 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:00:40.46 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 127.99 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 130 ChiSquare statistic : 103.25 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 514.71 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 122 ChiSquare statistic : 130.00 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 66 ChiSquare statistic : 77.58 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:00:12.63 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 327.43 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 366 ChiSquare statistic : 370.64 p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4900.61 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 360 ChiSquare statistic : 356.17 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 192 ChiSquare statistic : 202.04 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:00:39.51 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 303.27 p-value of test : 0.71 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 318 ChiSquare statistic : 307.43 p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4900.32 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 315 ChiSquare statistic : 270.53 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 169 ChiSquare statistic : 159.38 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:00:12.34 Generator state: *********************************************************** HOST = clone, Linux OpenSSL scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 10.07 p-value of test : 0.43 ----------------------------------------------- Normal statistic for number of jumps : 0.70 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:00:10.13 Generator state: *********************************************************** HOST = clone, Linux OpenSSL scomp_LinearComp test: ----------------------------------------------- N = 1, n = 120000, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 10 Chi2 statistic for size of jumps : 7.58 p-value of test : 0.67 ----------------------------------------------- Normal statistic for number of jumps : 1.20 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:00:10.09 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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- : 0.19 p-value of test : 0.43 Anderson-Darling statistic = A2 : 0.82 p-value of test : 0.46 Tests on the sum of all N observations Standardized normal statistic : -0.38 p-value of test : 0.65 Sample variance : 2.03 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:12.38 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 0, s = 30, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 5.84e-3 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.019 p-value of test : 0.05 Anderson-Darling statistic = A2 : 0.91 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:00:18.98 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sspectral_Fourier3 test: ----------------------------------------------- N = 50000, n = 16384, r = 20, s = 10, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 3.81e-3 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.011 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:00:22.36 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 30, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 3.11 p-value of test : 0.93 ----------------------------------------------- Global longest run of 1 : 34.00 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:02.96 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 300, r = 20, s = 10, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 3.15 p-value of test : 0.87 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:00:31.42 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 0, s = 30 ----------------------------------------------- Number of degrees of freedom : 302 Chi-square statistic : 318.18 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:00:25.65 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_PeriodsInStrings test: ----------------------------------------------- N = 1, n = 300000000, r = 15, s = 15 ----------------------------------------------- Number of degrees of freedom : 56 Chi-square statistic : 62.58 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:00:23.01 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_HammingWeight2 test: ----------------------------------------------- N = 100, n = 100000000, r = 0, s = 30, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.065 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.064 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9966.65 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:00:24.55 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_HammingWeight2 test: ----------------------------------------------- N = 30, n = 100000000, r = 20, s = 10, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.27 Anderson-Darling statistic = A2 : 1.08 p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 3000 Chi-square statistic : 3028.71 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:20.17 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 500000000, r = 0, s = 30, L = 30 ----------------------------------------------- Normal statistic : -0.031 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:00:37.48 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 50000000, r = 0, s = 30, L = 300 ----------------------------------------------- Normal statistic : 0.40 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:37.23 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 30, L = 1200 ----------------------------------------------- Normal statistic : -1.24 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:00:29.67 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 587.35 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:00:44.94 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 510.87 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:00:42.32 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 4182.53 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:00:44.59 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 3606.20 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:00:40.44 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 :12108.96 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:00:58.94 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 7350.76 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:00:16.13 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_Run test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, s = 30 ----------------------------------------------- Total number of 1 runs: 1000000007 Number of degrees of freedom : 52 Chi2 statistic for number of runs : 53.55 p-value of test : 0.41 ----------------------------------------------- Total number of bits: 4000036440 Normal statistic for number of bits : 0.41 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:00:23.76 Generator state: *********************************************************** HOST = clone, Linux OpenSSL 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 : 56.70 p-value of test : 0.30 ----------------------------------------------- Total number of bits: 3999971870 Normal statistic for number of bits : -0.31 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:00:42.17 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000021, r = 0, s = 30, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.40 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Tests on the sum of all N observations Standardized normal statistic : -0.014 p-value of test : 0.51 Sample variance : 1.15 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:00:34.03 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000001, r = 20, s = 10, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.51 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 0.025 p-value of test : 0.97 Anderson-Darling statistic = A2 : 2.07 p-value of test : 0.09 Tests on the sum of all N observations Standardized normal statistic : -1.90 p-value of test : 0.97 Sample variance : 0.79 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:00:47.51 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000020, r = 0, s = 30, d = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.47 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Tests on the sum of all N observations Standardized normal statistic : 0.24 p-value of test : 0.40 Sample variance : 0.88 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:00:31.94 Generator state: *********************************************************** HOST = clone, Linux OpenSSL sstring_AutoCor test: ----------------------------------------------- N = 5, n = 1000000010, r = 20, s = 10, d = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.60 p-value of test : 0.01 Kolmogorov-Smirnov- statistic = D- : 0.084 p-value of test : 0.88 Anderson-Darling statistic = A2 : 2.29 p-value of test : 0.07 Tests on the sum of all N observations Standardized normal statistic : -1.73 p-value of test : 0.96 Sample variance : 0.25 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:44.57 Generator state: ========= Summary results of Crush ========= Version: TestU01 1.2.3 Generator: OpenSSL Number of statistics: 144 Total CPU time: 01:00:22.51 All tests were passed