xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 0, d = 256, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 59.604645 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0083558402, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:13:13.30 Generator state: *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 1, n = 1000000000, r = 22, d = 256, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 16777216 Expected number per cell = 59.604645 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0083558402, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 16711680 Value of the statistic : 1.67e+7 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:13:18.22 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 2097152, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1377 p-value of test : 0.37 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334497 j = 1 : 599997246 j = 2 : 1377 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:12:11.07 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 9, d = 2097152, t = 2, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1323 p-value of test : 0.87 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334443 j = 1 : 599997354 j = 2 : 1323 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:12:07.98 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 16384, t = 3, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1374 p-value of test : 0.40 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334494 j = 1 : 599997252 j = 2 : 1374 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:13:53.23 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 16, d = 16384, t = 3, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1376 p-value of test : 0.38 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334496 j = 1 : 599997248 j = 2 : 1376 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:13:54.30 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1344 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334464 j = 1 : 599997312 j = 2 : 1344 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:13:59.90 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 24, d = 64, t = 7, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1393 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334513 j = 1 : 599997214 j = 2 : 1393 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:14:06.71 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 8, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1305 p-value of test : 0.94 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334425 j = 1 : 599997390 j = 2 : 1305 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:14:07.06 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 27, d = 8, t = 14, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1346 p-value of test : 0.68 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334466 j = 1 : 599997308 j = 2 : 1346 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:14:07.82 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 4, t = 21, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1311 p-value of test : 0.92 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334431 j = 1 : 599997378 j = 2 : 1311 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:14:05.70 Generator state: *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = kryptera, Linux Theo smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 28, d = 4, t = 21, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1327 p-value of test : 0.84 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334447 j = 1 : 599997346 j = 2 : 1327 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:14:07.19 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1 Number of cells = d^t = 4611686018427387904 Lambda = Poisson mean = 54.2101 ---------------------------------------------------- Total expected number = N*Lambda : 5421.01 Total observed number : 5312 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:26:22.14 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, 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 : 4336.81 Total observed number : 4283 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:15:06.20 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7316 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:29:27.60 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, 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 : 4336.81 Total observed number : 4272 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:32:55.31 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, 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 : 4336.81 Total observed number : 4413 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:33:01.36 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7276 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:56:19.40 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7269 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:56:19.29 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7352 p-value of test : 0.35 ----------------------------------------------- CPU time used : 01:49:41.50 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_BirthdaySpacings test: ----------------------------------------------- N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1 Number of cells = d^t = 18446744073709551616 Lambda = Poisson mean = 365.9182 ---------------------------------------------------- Total expected number = N*Lambda : 7318.36 Total observed number : 7114 p-value of test : 0.9916 ----------------------------------------------- CPU time used : 01:50:02.29 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairs test: ----------------------------------------------- N = 30, n = 6000000, 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) : 0.77 p-value of test : 0.51 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) : 1.32 p-value of test : 0.23 Test on the Nm values of W_{n,i}(mNP1): 1.21 p-value of test : 0.26 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 878 p-value of test : 0.76 Stat. AD (mNP2) : 1.55 p-value of test : 0.17 Stat. AD after spacings (mNP2-S) : 0.83 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:09:03.06 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairs test: ----------------------------------------------- N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 2.03 p-value of test : 0.09 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) : 1.60 p-value of test : 0.15 Test on the Nm values of W_{n,i}(mNP1): 0.81 p-value of test : 0.47 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 627 p-value of test : 0.14 Stat. AD (mNP2) : 0.86 p-value of test : 0.44 Stat. AD after spacings (mNP2-S) : 1.03 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:06:26.62 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairs test: ----------------------------------------------- N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.48 p-value of test : 0.76 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) : 1.99 p-value of test : 0.09 Test on the Nm values of W_{n,i}(mNP1): 0.50 p-value of test : 0.75 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 301 p-value of test : 0.48 Stat. AD (mNP2) : 1.20 p-value of test : 0.27 Stat. AD after spacings (mNP2-S) : 1.54 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:05:51.72 Generator state: *********************************************************** HOST = kryptera, Linux Theo snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 16, 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 : 0.91 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) : 1.15 p-value of test : 0.28 Test on the Nm values of W_{n,i}(mNP1): 0.74 p-value of test : 0.53 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 155 p-value of test : 0.35 Stat. AD (mNP2) : 1.05 p-value of test : 0.33 Stat. AD after spacings (mNP2-S) : 0.71 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:04:48.69 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 1.60 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:36:01.97 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 4.40 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:36:11.94 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 20.63 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:36:03.75 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 16.68 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:36:05.51 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 55.05 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:48:50.58 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 43.57 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:49:01.62 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 57.26 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:49:01.36 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 49.44 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:49:01.37 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 215.86 p-value of test : 0.77 ----------------------------------------------- CPU time used : 01:29:22.55 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 ----------------------------------------------- Number of degrees of freedom : 434 Chi-square statistic : 432.00 p-value of test : 0.52 ----------------------------------------------- CPU time used : 01:47:14.21 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 ----------------------------------------------- Number of degrees of freedom : 1437 Chi-square statistic : 1433.88 p-value of test : 0.52 ----------------------------------------------- CPU time used : 02:22:51.11 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Gap test: ----------------------------------------------- N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 ----------------------------------------------- Number of degrees of freedom : 7046 Chi-square statistic : 7028.26 p-value of test : 0.56 ----------------------------------------------- CPU time used : 01:54:38.96 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.051 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.91 p-value of test : 0.40 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 39.24 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:56:14.53 Generator state: *********************************************************** HOST = kryptera, Linux Theo sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.51 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 57.15 p-value of test : 0.58 ----------------------------------------------- CPU time used : 01:52:54.13 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo 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 : 2.06 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:33:49.19 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo 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 : 138.77 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:56:35.44 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo 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 : 5113.54 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:40:00.13 Generator state: *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo 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 : 0.31 ----------------------------------------------- CPU time used : 00:59:07.41 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo 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 : 46222 p-value of test : 0.06 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870222 j = 1 : 399907560 j = 2 : 46214 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 01:07:07.10 Generator state: *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = kryptera, Linux Theo 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 : 45803 p-value of test : 0.64 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869803 j = 1 : 399908398 j = 2 : 45795 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 01:07:19.55 Generator state: *********************************************************** HOST = kryptera, Linux Theo 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+ : 0.069 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.09 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.43 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.061 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.25 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:38:28.99 Generator state: *********************************************************** HOST = kryptera, Linux Theo 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+ : 0.047 p-value of test : 0.85 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.44 p-value of test : 0.19 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.14 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.069 p-value of test : 0.72 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:55:32.86 Generator state: *********************************************************** HOST = kryptera, Linux Theo 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+ : 0.15 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.30 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 : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.55 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.30 Anderson-Darling statistic = A2 : 1.09 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:54:49.66 Generator state: *********************************************************** HOST = kryptera, Linux Theo 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+ : 0.20 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.52 Anderson-Darling statistic = A2 : 1.30 p-value of test : 0.23 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.76 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.095 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.52 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 ----------------------------------------------- CPU time used : 01:12:37.85 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.098 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.050 p-value of test : 0.80 Anderson-Darling statistic = A2 : 0.43 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:37:32.88 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:36:45.14 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.093 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:54:43.19 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.68e-5 p-value of test : 0.79 Kolmogorov-Smirnov- statistic = D- : 1.15e-4 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:07:12.30 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.77e-4 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 7.91e-5 p-value of test : 0.78 Anderson-Darling statistic = A2 : 1.08 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:07:13.32 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.41 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:22:18.55 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 2.05 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:22:18.51 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15 Sequences of n = (K + Q)L = 15150000000 bits Q = 10000000 initialization blocks K = 1000000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : 0.19 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:57:08.66 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_AppearanceSpacings test: ----------------------------------------------- N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15 Sequences of n = (K + Q)L = 15150000000 bits Q = 10000000 initialization blocks K = 1000000000 blocks for the test the blocks have L = 15 bits ----------------------------------------------- Normal statistic : -2.02 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:57:09.10 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 66.43 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:57:00.63 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 57.97 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:57:13.64 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25 ----------------------------------------------- Number of degrees of freedom : 67 Chi-square statistic : 68.79 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:57:13.64 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 36.05 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:57:00.51 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 46.42 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:57:13.88 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_WeightDistrib test: ----------------------------------------------- N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 37 Chi-square statistic : 28.35 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:57:13.76 Generator state: *********************************************************** HOST = kryptera, Linux Theo svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 31.91 p-value of test : 0.32 ----------------------------------------------- CPU time used : 01:55:01.10 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.25 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 35.49 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:20:57.54 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.40 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.65 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 36.19 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:20:57.75 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 1.36 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:15:57.52 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 0.61 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:15:57.58 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.27 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:03:29.76 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.04 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:32.32 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.24 Anderson-Darling statistic = A2 : 0.49 p-value of test : 0.75 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 133.60 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:33:32.58 Generator state: *********************************************************** HOST = kryptera, Linux Theo smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.52 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 : 17430 Chi-square statistic :17381.24 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:12:40.66 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 36 ChiSquare statistic : 26.32 p-value of test : 0.88 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 35.10 p-value of test : 0.46 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 21.60 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 26.09 p-value of test : 0.35 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 27.66 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:11:56.30 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 36 ChiSquare statistic : 36.95 p-value of test : 0.42 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 54.99 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 33.36 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 27.53 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 26.79 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:11:56.66 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 146 ChiSquare statistic : 152.54 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 145.07 p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 545.16 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 104.53 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 69.41 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:12:26.98 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 146 ChiSquare statistic : 161.04 p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 156.34 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 506.75 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 122.60 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 67.44 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:12:26.80 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 384 ChiSquare statistic : 391.90 p-value of test : 0.38 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 366.99 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4997.03 p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 386.29 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 229.13 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:08:42.32 Generator state: *********************************************************** HOST = kryptera, Linux Theo swalk_RandomWalk1 test: ----------------------------------------------- N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000 ----------------------------------------------- Test on the values of the Statistic H Number of degrees of freedom : 384 ChiSquare statistic : 374.99 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 337.14 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5067.26 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 339.52 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 206.75 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:08:42.23 Generator state: *********************************************************** HOST = kryptera, Linux Theo scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 16.64 p-value of test : 0.16 ----------------------------------------------- Normal statistic for number of jumps : -0.79 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:02:11.72 Generator state: *********************************************************** HOST = kryptera, Linux Theo scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 7.53 p-value of test : 0.82 ----------------------------------------------- Normal statistic for number of jumps : 0.54 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:02:11.94 Generator state: *********************************************************** HOST = kryptera, Linux Theo scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Tests on the sum of all N observations Standardized normal statistic : 0.16 p-value of test : 0.44 Sample variance : 0.57 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:00.64 Generator state: *********************************************************** HOST = kryptera, Linux Theo scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.29 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 0.055 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.98 p-value of test : 0.37 Tests on the sum of all N observations Standardized normal statistic : -1.09 p-value of test : 0.86 Sample variance : 0.86 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:33.86 Generator state: *********************************************************** HOST = kryptera, Linux Theo sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 4.18e-3 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.014 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:06:54.83 Generator state: *********************************************************** HOST = kryptera, Linux Theo sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.015 p-value of test : 0.15 Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.32 Anderson-Darling statistic = A2 : 1.60 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:06:52.72 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 6.59 p-value of test : 0.58 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:37:56.82 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 6.62 p-value of test : 0.58 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:37:57.38 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.51 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.26 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 208.52 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:58:05.91 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.38 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.060 p-value of test : 0.90 Anderson-Darling statistic = A2 : 1.66 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 174.21 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:58:07.17 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.25 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.76 p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9922.79 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:37:24.91 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.36 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.091 p-value of test : 0.80 Anderson-Darling statistic = A2 : 1.66 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9838.06 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:37:26.02 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 1.80 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:34:04.10 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 1.71 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:33:55.88 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 0.37 p-value of test : 0.35 ----------------------------------------------- CPU time used : 02:15:38.77 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.29 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.28 Anderson-Darling statistic = A2 : 1.19 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4872.09 p-value of test : 0.57 ----------------------------------------------- CPU time used : 01:07:25.58 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.47 Anderson-Darling statistic = A2 : 0.55 p-value of test : 0.69 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4888.79 p-value of test : 0.50 ----------------------------------------------- CPU time used : 01:07:32.19 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 Chi-square statistic : 4085.51 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:50:35.29 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 4117 Chi-square statistic : 4190.45 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:50:39.25 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 Chi-square statistic :11888.99 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:54:02.22 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_HammingIndep test: ----------------------------------------------- N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Number of degrees of freedom : 11825 Chi-square statistic :11731.24 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:54:06.01 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 50.23 p-value of test : 0.62 ----------------------------------------------- Total number of bits: 8000222301 Normal statistic for number of bits : 1.76 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:30:32.85 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 27, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 57.59 p-value of test : 0.34 ----------------------------------------------- Total number of bits: 7999962777 Normal statistic for number of bits : -0.29 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:30:30.48 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.37 Kolmogorov-Smirnov- statistic = D- : 0.084 p-value of test : 0.83 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 Tests on the sum of all N observations Standardized normal statistic : -1.11 p-value of test : 0.87 Sample variance : 1.17 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:39:09.64 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.61 p-value of test : 0.64 Tests on the sum of all N observations Standardized normal statistic : 0.15 p-value of test : 0.44 Sample variance : 1.17 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:38:54.70 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.40 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.33 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 Tests on the sum of all N observations Standardized normal statistic : 0.20 p-value of test : 0.42 Sample variance : 0.51 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:39:08.45 Generator state: *********************************************************** HOST = kryptera, Linux Theo sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.096 p-value of test : 0.78 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.80 Tests on the sum of all N observations Standardized normal statistic : 0.60 p-value of test : 0.28 Sample variance : 1.20 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:38:55.26 Generator state: ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: Theo Number of statistics: 160 Total CPU time: 69:35:11.80 All tests were passed