# # RandomSource: WELL_19937_C # RNG: org.apache.commons.rng.core.source32.Well19937c # Seed: 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 # # 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: 2019-10-07 19:58:43 # 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 : 0.27 ----------------------------------------------- CPU time used : 00:02:09.87 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 : 0.67 ----------------------------------------------- CPU time used : 00:02:17.10 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 : 1397 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334517 j = 1 : 599997206 j = 2 : 1397 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:58.95 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 : 1417 p-value of test : 0.08 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334537 j = 1 : 599997166 j = 2 : 1417 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:10.67 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 : 1343 p-value of test : 0.71 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334463 j = 1 : 599997314 j = 2 : 1343 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:07.96 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 : 1352 p-value of test : 0.62 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334472 j = 1 : 599997296 j = 2 : 1352 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:12.86 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 : 1387 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334507 j = 1 : 599997226 j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:09.57 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 : 1314 p-value of test : 0.91 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334434 j = 1 : 599997372 j = 2 : 1314 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:16.50 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 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 : 1387 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334507 j = 1 : 599997226 j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:12.15 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 : 1399 p-value of test : 0.18 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334519 j = 1 : 599997202 j = 2 : 1399 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:18.13 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 : 1378 p-value of test : 0.36 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334498 j = 1 : 599997244 j = 2 : 1378 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:09.69 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 : 1409 p-value of test : 0.12 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334529 j = 1 : 599997182 j = 2 : 1409 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:14.44 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 : 5491 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:05:27.88 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 : 4254 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:26.82 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 : 7327 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:04:05.19 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 : 4323 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:03:08.07 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 : 4317 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:03:15.97 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 : 7407 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:05:16.52 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 : 7312 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:05:14.47 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 : 7242 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:07:17.63 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 : 7328 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:07:42.05 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) : 0.72 p-value of test : 0.54 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) : 0.51 p-value of test : 0.73 Test on the Nm values of W_{n,i}(mNP1): 0.46 p-value of test : 0.79 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 877 p-value of test : 0.77 Stat. AD (mNP2) : 0.38 p-value of test : 0.87 Stat. AD after spacings (mNP2-S) : 0.53 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:04:09.78 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) : 0.41 p-value of test : 0.84 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) : 1.12 p-value of test : 0.30 Test on the Nm values of W_{n,i}(mNP1): 0.95 p-value of test : 0.39 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 619 p-value of test : 0.22 Stat. AD (mNP2) : 1.12 p-value of test : 0.30 Stat. AD after spacings (mNP2-S) : 1.22 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:02:34.34 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) : 1.19 p-value of test : 0.27 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) : 0.76 p-value of test : 0.51 Test on the Nm values of W_{n,i}(mNP1): 0.86 p-value of test : 0.44 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 280 p-value of test : 0.87 Stat. AD (mNP2) : 1.08 p-value of test : 0.32 Stat. AD after spacings (mNP2-S) : 5.27 p-value of test : 2.1e-3 ----------------------------------------------- CPU time used : 00:03:42.73 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) : 0.70 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) : 1.17 p-value of test : 0.28 Test on the Nm values of W_{n,i}(mNP1): 0.75 p-value of test : 0.52 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 163 p-value of test : 0.15 Stat. AD (mNP2) : 3.01 p-value of test : 0.03 Stat. AD after spacings (mNP2-S) : 0.96 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:04:08.32 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 : 2.62 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:01:59.23 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 : 4.63 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:18.73 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 : 24.48 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:54.94 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 : 8.46 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:15.71 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 : 59.36 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:02:35.60 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 : 54.47 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:02:57.18 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 : 51.16 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:02:59.52 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 : 44.66 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:02:58.25 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 : 231.96 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:03:15.39 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 : 417.72 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:04:32.28 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 : 1431.31 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:04:58.18 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 : 6903.56 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:04:44.44 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.30 Kolmogorov-Smirnov- statistic = D- : 0.39 p-value of test : 0.17 Anderson-Darling statistic = A2 : 1.09 p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 26.73 p-value of test : 0.64 ----------------------------------------------- CPU time used : 00:02:32.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.080 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.44 p-value of test : 0.01 Anderson-Darling statistic = A2 : 2.41 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 74.47 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:05:58.72 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 : 6.42 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:51.09 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 : 117.27 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:03:10.84 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 : 5013.95 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:02:21.67 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 : 0.74 ----------------------------------------------- CPU time used : 00:04:10.56 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 : 45876 p-value of test : 0.51 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869876 j = 1 : 399908253 j = 2 : 45866 j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:33.28 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 : 46045 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870045 j = 1 : 399907913 j = 2 : 46039 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:40.39 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 : 0.23 Kolmogorov-Smirnov- statistic = D- : 0.078 p-value of test : 0.59 Anderson-Darling statistic = A2 : 1.38 p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.88 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.061 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.05 Anderson-Darling statistic = A2 : 1.14 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:04:32.54 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+ : 0.15 p-value of test : 0.24 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.48 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.61 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.074 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.14 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:04:23.70 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+ : 0.068 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.25 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 : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.17 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.057 p-value of test : 0.84 Anderson-Darling statistic = A2 : 1.03 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:03:29.05 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+ : 0.086 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.099 p-value of test : 0.63 Anderson-Darling statistic = A2 : 0.27 p-value of test : 0.96 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.40 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:04:05.60 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.28 Kolmogorov-Smirnov- statistic = D- : 0.027 p-value of test : 0.92 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:03:36.43 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.090 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.090 p-value of test : 0.68 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:02:41.73 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.24 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.087 p-value of test : 0.70 Anderson-Darling statistic = A2 : 0.93 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:03:37.55 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.87e-4 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 1.26e-4 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:00:47.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.44e-4 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 7.95e-5 p-value of test : 0.78 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:50.10 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.54 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:00:52.86 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -1.15 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:52.23 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 : 0.27 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:02:47.19 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 : 1.01 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:02:50.09 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 : 59.73 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:59.20 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 : 54.13 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:02:24.79 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 : 63.72 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:24.50 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 : 28.33 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:01:59.54 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 : 44.47 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:25.04 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 : 39.03 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:02:24.87 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 : 34.10 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:04:07.94 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+ : 0.25 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 40.32 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:50.67 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+ : 0.27 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 0.062 p-value of test : 0.89 Anderson-Darling statistic = A2 : 0.74 p-value of test : 0.52 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 30.61 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:48.97 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 : 1.81 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:45.86 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 : 2.97 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:44.02 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 : 0.21 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:49.48 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 : 1.47 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:02:01.79 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+ : 0.20 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 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 : 130 Chi-square statistic : 122.17 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:01:24.29 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+ : 0.35 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.36 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 : 17430 Chi-square statistic :17268.31 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:02:03.21 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 : 37.26 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 31.06 p-value of test : 0.66 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 17.49 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.46 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 11.31 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:01:14.65 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 : 38.15 p-value of test : 0.37 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 35.50 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 16.53 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 22.09 p-value of test : 0.57 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 29.74 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:13.36 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 : 125.77 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 149.65 p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 494.47 p-value of test : 0.56 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 114.66 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 83.32 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:01:26.35 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 : 158.34 p-value of test : 0.23 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 172.86 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 559.00 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 131.02 p-value of test : 0.60 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 97.45 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:25.55 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 : 422.93 p-value of test : 0.08 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 386.85 p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5128.60 p-value of test : 0.10 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 400.59 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 203.35 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:01:29.02 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 : 366.67 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 354.32 p-value of test : 0.86 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4910.83 p-value of test : 0.81 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 361.73 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 189.18 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:30.18 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 : 13.27 p-value of test : 0.35 ----------------------------------------------- Normal statistic for number of jumps : -402.95 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:11.29 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 : 9.52 p-value of test : 0.66 ----------------------------------------------- Normal statistic for number of jumps : -402.99 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:10.98 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+ : 0.16 p-value of test : 0.53 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.94 p-value of test : 0.39 Tests on the sum of all N observations Standardized normal statistic : -0.11 p-value of test : 0.55 Sample variance : 2.15 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:19.45 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+ : 0.071 p-value of test : 0.87 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.20 Anderson-Darling statistic = A2 : 1.03 p-value of test : 0.34 Tests on the sum of all N observations Standardized normal statistic : 1.19 p-value of test : 0.12 Sample variance : 1.50 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:01:25.26 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+ : 0.012 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 8.63e-3 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.85 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:00.25 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+ : 3.67e-3 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.015 p-value of test : 0.18 Anderson-Darling statistic = A2 : 1.35 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:00:59.17 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 : 5.56 p-value of test : 0.70 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:11.43 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 : 9.83 p-value of test : 0.28 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:02:13.93 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.30 p-value of test : 0.14 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.80 p-value of test : 0.48 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 189.25 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:04:33.72 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.40 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.095 p-value of test : 0.79 Anderson-Darling statistic = A2 : 2.33 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 168.65 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:04:42.43 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+ : 0.066 p-value of test : 0.88 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 0.09 Anderson-Darling statistic = A2 : 1.69 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10249.59 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:28.88 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+ : 0.085 p-value of test : 0.82 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.13 Anderson-Darling statistic = A2 : 0.93 p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10137.45 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:01:32.34 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.52 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:01:54.72 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.37 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:01:42.11 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.21 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:06:38.59 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+ : 0.12 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.54 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.80 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4903.91 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:02:53.90 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+ : 0.012 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.51 p-value of test : 0.18 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 5055.17 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:02:56.77 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 : 4118.28 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:02:08.91 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 : 4184.28 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:02:11.58 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 :11820.78 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:02:21.11 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 :11586.08 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:02:23.91 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 : 50.74 p-value of test : 0.60 ----------------------------------------------- Total number of bits: 8000136945 Normal statistic for number of bits : 1.08 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:02:01.34 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 : 71.28 p-value of test : 0.06 ----------------------------------------------- Total number of bits: 8000049726 Normal statistic for number of bits : 0.39 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:02.50 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+ : 0.19 p-value of test : 0.43 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.87 Tests on the sum of all N observations Standardized normal statistic : 0.065 p-value of test : 0.47 Sample variance : 0.65 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:03:35.18 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+ : 0.062 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Tests on the sum of all N observations Standardized normal statistic : 0.67 p-value of test : 0.25 Sample variance : 1.05 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:03:14.31 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+ : 0.12 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.52 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.89 Tests on the sum of all N observations Standardized normal statistic : -0.057 p-value of test : 0.52 Sample variance : 0.92 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:03:25.70 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+ : 0.17 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.42 p-value of test : 0.83 Tests on the sum of all N observations Standardized normal statistic : 0.15 p-value of test : 0.44 Sample variance : 0.68 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:03:07.75 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:25:05.47 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 ---------------------------------------------- 80 LinearComp, r = 0 1 - eps1 81 LinearComp, r = 29 1 - eps1 ---------------------------------------------- All other tests were passed # # End: 2019-10-08 02:18:45 # # Exit value: 0 # Bytes used: 1428465885184 >= 2^40 (1.4 TB) # # Test duration: 380.0318068724667 minutes #