xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.48 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.38 Anderson-Darling statistic = A2 : 1.67 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 21.23 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:39.89 Generator state: 160000000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.87 p-value of test : 0.43 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 70.93 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:04:33.10 Generator state: 480000000000 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6 Expected number per cell = 1.6666667e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 2.5000002e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5 Value of the statistic : 6.21 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:42.75 Generator state: 576000000000 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 5, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 120 Expected number per cell = 8333333.3 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.9500005e-08, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 119 Value of the statistic : 124.22 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:39.17 Generator state: 736000000000 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 5, t = 7, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 5040 Expected number per cell = 99206.349 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.0390004e-06, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 Value of the statistic : 5039.35 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:08.04 Generator state: 848000000000 bits have been read. *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 10, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 137.7866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0036287993, 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 : 0.78 ----------------------------------------------- CPU time used : 00:04:38.14 Generator state: 1008000000000 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin smultin_Multinomial test: ----------------------------------------------- N = 20, n = 20000000, r = 0, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 87178291200 Expected number per cell = 1 / 4358.9146 EColl = n^2 / (2k) = 2294.14912 Hashing = TRUE Collision test, Mu = 2293.9736, Sigma = 47.8841 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 Observed number of collisions : 45369 p-value of test : 0.9914 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869369 j = 1 : 399909265 j = 2 : 45363 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:07:05.52 Generator state: 1187200000000 bits have been read. *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin smultin_Multinomial test: ----------------------------------------------- N = 20, n = 20000000, r = 10, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellPermut Number of cells = t! = 87178291200 Expected number per cell = 1 / 4358.9146 EColl = n^2 / (2k) = 2294.14912 Hashing = TRUE Collision test, Mu = 2293.9736, Sigma = 47.8841 ----------------------------------------------- Test Results for Collisions For the total number of collisions, we use the Poisson approximation: Expected number of collisions = N*Mu : 45879.47 Observed number of collisions : 45785 p-value of test : 0.67 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869785 j = 1 : 399908431 j = 2 : 45783 j = 3 : 1 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:07:35.20 Generator state: 1366400000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin sknuth_MaxOft test: ----------------------------------------------- N = 40, n = 10000000, r = 0, d = 100000, t = 8 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.032 p-value of test : 0.90 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.09 Anderson-Darling statistic = A2 : 2.06 p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.01e+6 p-value of test : 0.03 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.28 Anderson-Darling statistic = A2 : 1.69 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:03:54.53 Generator state: 1468800000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin sknuth_MaxOft test: ----------------------------------------------- N = 30, n = 10000000, r = 0, d = 100000, t = 16 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.076 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.57 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.087 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:03:29.90 Generator state: 1622400000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin sknuth_MaxOft test: ----------------------------------------------- N = 20, n = 10000000, r = 0, d = 100000, t = 24 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.062 p-value of test : 0.82 Kolmogorov-Smirnov- statistic = D- : 0.095 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.22 p-value of test : 0.99 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.44 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.092 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.30 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:02:40.80 Generator state: 1776000000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin sknuth_MaxOft test: ----------------------------------------------- N = 20, n = 10000000, r = 0, d = 100000, t = 32 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.034 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.17 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.032 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.04 Anderson-Darling statistic = A2 : 2.34 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:03:07.34 Generator state: 1980800000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.078 p-value of test : 0.58 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.14 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:03:02.67 Generator state: 2083200000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.093 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:02:04.78 Generator state: 2185600000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.14 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.54 Anderson-Darling statistic = A2 : 1.28 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:36.26 Generator state: 2339200000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 9.84e-5 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 8.66e-5 p-value of test : 0.74 Anderson-Darling statistic = A2 : 0.30 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:00:41.94 Generator state: 2358400000000 bits have been read. *********************************************************** HOST = LOKI, Linux ufile_CreateReadBin: /mnt/x/Incoming/Turninger/random.384GB.bin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.16e-4 p-value of test : 0.58 Kolmogorov-Smirnov- statistic = D- : 2.05e-4 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.81 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:00:45.76 Generator state: 2377600000000 bits have been read. ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: ufile_CreateReadBin Number of statistics: 21 Total CPU time: 00:54:26.03 All tests were passed