# # RandomSource: XO_SHI_RO_128_SS # RNG: org.apache.commons.rng.core.source32.XoShiRo128StarStar # Seed: 597a4ace6e48120c10360cde47043494 # # Java: 1.8.0_202 # Runtime: Java(TM) SE Runtime Environment (build 1.8.0_202-b08) # JVM: Java HotSpot(TM) 64-Bit Server VM (build 25.202-b08, mixed mode) # OS: Linux 3.13.0-91-generic amd64 # Native byte-order: LITTLE_ENDIAN # Output byte-order: LITTLE_ENDIAN # # Analyzer: /home/ah403/git/commons-rng/commons-rng-examples/examples-stress/stdin2testu01 BigCrush # # Start: 2019-10-09 05:40:04 # xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Starting BigCrush Version: TestU01 1.2.3 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 0.65 ----------------------------------------------- CPU time used : 00:02:11.43 Generator state: N/A *********************************************************** Test smarsa_SerialOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 0.94 ----------------------------------------------- CPU time used : 00:02:17.60 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1427 p-value of test : 0.05 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334547 j = 1 : 599997146 j = 2 : 1427 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:47.68 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1363 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334483 j = 1 : 599997274 j = 2 : 1363 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:59.50 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1420 p-value of test : 0.07 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334540 j = 1 : 599997160 j = 2 : 1420 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:52.86 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1347 p-value of test : 0.67 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334467 j = 1 : 599997306 j = 2 : 1347 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:02.53 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1332 p-value of test : 0.80 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334452 j = 1 : 599997336 j = 2 : 1332 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.68 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1349 p-value of test : 0.65 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334469 j = 1 : 599997302 j = 2 : 1349 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:59.74 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1326 p-value of test : 0.85 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334446 j = 1 : 599997348 j = 2 : 1326 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:48.42 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1415 p-value of test : 0.09 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334535 j = 1 : 599997170 j = 2 : 1415 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:44.44 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1294 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334414 j = 1 : 599997412 j = 2 : 1294 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:39.46 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin 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 : 1334 p-value of test : 0.79 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334454 j = 1 : 599997332 j = 2 : 1334 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:44.46 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 5512 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:05:42.46 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 4361 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:33.23 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 7362 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:04:21.88 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 4409 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:03:18.36 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 4373 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:03:30.72 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 7299 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:05:31.46 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 7361 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:05:37.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 7461 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:07:08.21 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 7292 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:07:11.68 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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) : 0.71 p-value of test : 0.55 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) : 0.22 p-value of test : 0.98 Test on the Nm values of W_{n,i}(mNP1): 0.94 p-value of test : 0.39 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 917 p-value of test : 0.29 Stat. AD (mNP2) : 0.38 p-value of test : 0.87 Stat. AD after spacings (mNP2-S) : 0.55 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:03:47.56 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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) : 0.81 p-value of test : 0.47 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) : 2.29 p-value of test : 0.06 Test on the Nm values of W_{n,i}(mNP1): 0.89 p-value of test : 0.42 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 592 p-value of test : 0.62 Stat. AD (mNP2) : 0.36 p-value of test : 0.89 Stat. AD after spacings (mNP2-S) : 0.66 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:26.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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) : 0.75 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) : 1.29 p-value of test : 0.24 Test on the Nm values of W_{n,i}(mNP1): 0.76 p-value of test : 0.51 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 292 p-value of test : 0.66 Stat. AD (mNP2) : 0.46 p-value of test : 0.78 Stat. AD after spacings (mNP2-S) : 1.03 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:03:54.28 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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) : 1.39 p-value of test : 0.20 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) : 1.00 p-value of test : 0.35 Test on the Nm values of W_{n,i}(mNP1): 1.44 p-value of test : 0.19 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 166 p-value of test : 0.10 Stat. AD (mNP2) : 0.48 p-value of test : 0.77 Stat. AD after spacings (mNP2-S) : 0.68 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:04:15.23 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 7.25 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:48.32 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.10 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:04.80 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 12.34 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:42.26 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 16.95 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:00.93 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 51.55 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:02:21.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 10, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 46.53 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:02:33.32 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 52.69 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:40.30 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 27, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 40.04 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:43.01 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 250.77 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:03:21.78 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Gap test: ----------------------------------------------- N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125 ----------------------------------------------- Number of degrees of freedom : 434 Chi-square statistic : 423.13 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:04:41.65 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Gap test: ----------------------------------------------- N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125 ----------------------------------------------- Number of degrees of freedom : 1437 Chi-square statistic : 1391.93 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:05:06.05 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Gap test: ----------------------------------------------- N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562 ----------------------------------------------- Number of degrees of freedom : 7046 Chi-square statistic : 7075.10 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:04:47.10 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.78 p-value of test : 5.6e-4 ***** Kolmogorov-Smirnov- statistic = D- : 9.75e-3 p-value of test : 0.99 Anderson-Darling statistic = A2 : 5.82 p-value of test : 1.3e-3 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 10.51 p-value of test : 0.9996 ***** ----------------------------------------------- CPU time used : 00:02:24.50 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 3.57e-3 p-value of test : 0.9963 Kolmogorov-Smirnov- statistic = D- : 0.40 p-value of test : 0.03 Anderson-Darling statistic = A2 : 4.58 p-value of test : 4.8e-3 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 98.93 p-value of test : 1.2e-3 ----------------------------------------------- CPU time used : 00:05:30.05 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin 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 : 5.97 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:01:40.04 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin 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 : 103.51 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:43.82 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin 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 : 4956.67 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:59.40 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin 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 : 0.69 ----------------------------------------------- CPU time used : 00:03:35.65 Generator state: N/A *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin 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 : 45864 p-value of test : 0.53 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869864 j = 1 : 399908280 j = 2 : 45848 j = 3 : 8 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:59.93 Generator state: N/A *********************************************************** Test sknuth_CollisionPermut calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin 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 : 45925 p-value of test : 0.42 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869925 j = 1 : 399908153 j = 2 : 45919 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:10.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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+ : 0.13 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.039 p-value of test : 0.87 Anderson-Darling statistic = A2 : 1.33 p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.91 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.075 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.100 p-value of test : 0.42 Anderson-Darling statistic = A2 : 0.61 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:04:08.71 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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+ : 0.055 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.43 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 : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.21 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 0.059 p-value of test : 0.78 Anderson-Darling statistic = A2 : 0.35 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:04:03.90 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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+ : 0.059 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.08 Anderson-Darling statistic = A2 : 1.18 p-value of test : 0.28 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.14 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.34 Anderson-Darling statistic = A2 : 0.71 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:03:19.13 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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+ : 0.023 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.21 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.10 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.015 p-value of test : 0.98 Kolmogorov-Smirnov- statistic = D- : 0.34 p-value of test : 7.3e-3 Anderson-Darling statistic = A2 : 3.88 p-value of test : 0.01 ----------------------------------------------- CPU time used : 00:04:04.37 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 1.34e-3 p-value of test : 0.9986 Anderson-Darling statistic = A2 : 1.55 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:03:38.14 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.37 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:43.25 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.60 Anderson-Darling statistic = A2 : 0.67 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:03:37.48 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.44e-4 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 1.61e-4 p-value of test : 0.35 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:00:48.56 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.64e-4 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 8.25e-5 p-value of test : 0.76 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:00:53.63 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 1.00 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:00:52.88 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -1.36 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:52.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : -0.37 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:02:37.25 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 1.15 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:02:44.77 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 58.04 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:05.59 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 48.21 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:02:28.54 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 60.74 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:28.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 32.75 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:02.90 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 27.04 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:25.92 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 39.30 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:02:23.31 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SumCollector test: ----------------------------------------------- N = 1, n = 500000000, r = 0, g = 10 ----------------------------------------------- Number of degrees of freedom : 29 Chi-square statistic : 36.64 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:04:08.34 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.063 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.33 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.91 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 43.12 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:01:46.97 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 Anderson-Darling statistic = A2 : 1.24 p-value of test : 0.25 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 41.67 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:47.87 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 4.21 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:02:42.85 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 5.72 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:02:41.87 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.47 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:02:02.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 00:01:50.46 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_Savir2 test: ----------------------------------------------- N = 10, n = 10000000, r = 10, m = 1048576, t = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.072 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.84 p-value of test : 0.45 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 145.04 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:14.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_GCD test: ----------------------------------------------- N = 10, n = 50000000, r = 0, s = 30 ----------------------------------------------- Test results for GCD values: Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.19 Anderson-Darling statistic = A2 : 0.78 p-value of test : 0.50 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17524.04 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:02:00.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 35.53 p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 39.84 p-value of test : 0.26 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 18.95 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 29.44 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 12.01 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:10.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 33.42 p-value of test : 0.59 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 45.63 p-value of test : 0.11 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 24.05 p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 34.87 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 15.90 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:09.47 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 119.79 p-value of test : 0.94 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 152.58 p-value of test : 0.34 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 477.63 p-value of test : 0.76 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 138.94 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 55.85 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:01:20.73 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 161.09 p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 165.85 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 472.79 p-value of test : 0.80 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 118.68 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 70.63 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:01:20.92 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 361.90 p-value of test : 0.78 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 314.42 p-value of test : 0.9961 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5086.04 p-value of test : 0.19 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 375.55 p-value of test : 0.53 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 182.04 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:01:25.89 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 443.09 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 397.86 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5072.74 p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 414.88 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 186.06 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:25.45 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 15.90 p-value of test : 0.20 ----------------------------------------------- Normal statistic for number of jumps : -1.96 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:02:46.18 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 29, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 9.13 p-value of test : 0.69 ----------------------------------------------- Normal statistic for number of jumps : -0.046 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:02:38.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 0, s = 30, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.40 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.089 p-value of test : 0.81 Anderson-Darling statistic = A2 : 1.44 p-value of test : 0.19 Tests on the sum of all N observations Standardized normal statistic : -1.36 p-value of test : 0.91 Sample variance : 1.20 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:30.56 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LempelZiv test: ----------------------------------------------- N = 10, n = 134217728, r = 15, s = 15, k = 27 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.19 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.085 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.20 p-value of test : 0.9901 Tests on the sum of all N observations Standardized normal statistic : 0.060 p-value of test : 0.48 Sample variance : 1.05 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:34.25 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.90e-3 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.015 p-value of test : 0.15 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:00:56.48 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 27, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 6.22e-3 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 4.16e-3 p-value of test : 0.87 Anderson-Darling statistic = A2 : 0.17 p-value of test : 0.9970 ----------------------------------------------- CPU time used : 00:00:54.94 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 0, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 5.61 p-value of test : 0.69 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:59.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_LongestHeadRun test: ----------------------------------------------- N = 1, n = 1000, r = 27, s = 3, L = 10000020 ----------------------------------------------- Number of degrees of freedom : 8 Chi-square statistic : 6.57 p-value of test : 0.58 ----------------------------------------------- Global longest run of 1 : 30.00 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:01:56.23 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.027 p-value of test : 0.97 Kolmogorov-Smirnov- statistic = D- : 0.39 p-value of test : 0.04 Anderson-Darling statistic = A2 : 2.24 p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 238.15 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:03:59.62 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.48 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.68 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 : 200 Chi-square statistic : 189.57 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:04:03.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 0, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 5.70e-3 p-value of test : 0.9940 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.14 Anderson-Darling statistic = A2 : 1.48 p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10244.67 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:18.61 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingWeight2 test: ----------------------------------------------- N = 10, n = 1000000000, r = 27, s = 3, L = 1000000 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.61 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9937.68 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:24.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.80 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:40.04 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.73 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:31.27 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.18 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:05:52.68 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.27 p-value of test : 0.19 Kolmogorov-Smirnov- statistic = D- : 0.075 p-value of test : 0.86 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 : 4890 Chi-square statistic : 4797.11 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:02:25.79 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingIndep test: ----------------------------------------------- N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0 Counters with expected numbers >= 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.23 Kolmogorov-Smirnov- statistic = D- : 3.17e-3 p-value of test : 0.9967 Anderson-Darling statistic = A2 : 1.93 p-value of test : 0.10 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4698.22 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:28.65 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 4065.24 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:46.65 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 4009.65 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:01:49.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 :11783.49 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:59.22 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 :11879.16 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:01:57.06 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 67.93 p-value of test : 0.10 ----------------------------------------------- Total number of bits: 7999978284 Normal statistic for number of bits : -0.17 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:35.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin 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 : 70.27 p-value of test : 0.07 ----------------------------------------------- Total number of bits: 7999973613 Normal statistic for number of bits : -0.21 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:34.66 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 0, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.10 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.94 Tests on the sum of all N observations Standardized normal statistic : 0.44 p-value of test : 0.33 Sample variance : 0.90 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:03:11.63 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 0, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.060 p-value of test : 0.90 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.60 p-value of test : 0.15 Tests on the sum of all N observations Standardized normal statistic : 1.35 p-value of test : 0.09 Sample variance : 1.13 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:02:54.54 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000030, r = 27, s = 3, d = 1 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.24 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.51 Anderson-Darling statistic = A2 : 0.61 p-value of test : 0.63 Tests on the sum of all N observations Standardized normal statistic : -0.28 p-value of test : 0.61 Sample variance : 0.62 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:03:12.22 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_AutoCor test: ----------------------------------------------- N = 10, n = 1000000029, r = 27, s = 3, d = 3 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 Tests on the sum of all N observations Standardized normal statistic : 0.15 p-value of test : 0.44 Sample variance : 1.91 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:02:53.91 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:12:46.18 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0e-15): Test p-value ---------------------------------------------- 38 Run, r = 0 0.9996 ---------------------------------------------- All other tests were passed # # End: 2019-10-09 11:01:27 # # Exit value: 0 # Bytes used: 1428410212352 >= 2^40 (1.4 TB) # # Test duration: 321.38550991901667 minutes #