# # RandomSource: WELL_44497_B # RNG: org.apache.commons.rng.core.source32.Well44497b # 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: 2019-10-08 02:25:28 # 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 : 0.03 ----------------------------------------------- CPU time used : 00:02:18.00 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 : 0.9982 ----------------------------------------------- CPU time used : 00:02:24.05 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 : 1401 p-value of test : 0.16 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334521 j = 1 : 599997198 j = 2 : 1401 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:53.32 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 : 1337 p-value of test : 0.76 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334457 j = 1 : 599997326 j = 2 : 1337 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:09.24 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 : 1344 p-value of test : 0.70 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334464 j = 1 : 599997312 j = 2 : 1344 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.04 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 : 1362 p-value of test : 0.52 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334482 j = 1 : 599997276 j = 2 : 1362 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:06.86 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 : 1391 p-value of test : 0.24 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334511 j = 1 : 599997218 j = 2 : 1391 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:04.78 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 : 1361 p-value of test : 0.53 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334481 j = 1 : 599997278 j = 2 : 1361 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:13.77 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 : 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 : 00:05:04.78 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 : 1404 p-value of test : 0.14 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334524 j = 1 : 599997192 j = 2 : 1404 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:04.80 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 : 1337 p-value of test : 0.76 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334457 j = 1 : 599997326 j = 2 : 1337 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:50.76 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 : 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 : 00:04:54.61 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 : 5371 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:05:32.42 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 : 4242 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:28.48 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 : 7225 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:04:13.15 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 : 4358 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:03:11.05 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 : 4360 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:03:18.75 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 : 7183 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:05:20.63 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 : 7343 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:05:25.32 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 : 7226 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:07:05.44 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 : 7335 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:07:08.89 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) : 0.25 p-value of test : 0.97 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) : 1.13 p-value of test : 0.29 Test on the Nm values of W_{n,i}(mNP1): 2.31 p-value of test : 0.06 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 948 p-value of test : 0.06 Stat. AD (mNP2) : 1.16 p-value of test : 0.28 Stat. AD after spacings (mNP2-S) : 1.56 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:03:48.14 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) : 1.28 p-value of test : 0.24 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) : 0.45 p-value of test : 0.79 Test on the Nm values of W_{n,i}(mNP1): 0.26 p-value of test : 0.96 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 604 p-value of test : 0.44 Stat. AD (mNP2) : 0.53 p-value of test : 0.71 Stat. AD after spacings (mNP2-S) : 0.85 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:02:25.98 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) : 0.62 p-value of test : 0.63 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): 2.00 p-value of test : 0.09 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 264 p-value of test : 0.98 Stat. AD (mNP2) : 0.69 p-value of test : 0.57 Stat. AD after spacings (mNP2-S) : 1.17 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:03:30.38 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) : 0.49 p-value of test : 0.75 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) : 0.94 p-value of test : 0.38 Test on the Nm values of W_{n,i}(mNP1): 0.51 p-value of test : 0.74 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 159 p-value of test : 0.24 Stat. AD (mNP2) : 1.30 p-value of test : 0.23 Stat. AD after spacings (mNP2-S) : 0.30 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:03:52.06 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 : 4.22 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:01:59.53 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 : 13.02 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:02:20.10 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 : 15.55 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:01:56.61 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 : 22.09 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:02:15.06 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 : 64.70 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:02:34.93 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 : 54.15 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:02:56.89 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 : 60.40 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:02:56.07 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 : 50.14 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:55.89 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 : 258.22 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:03:16.85 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 : 450.73 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:04:29.62 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 : 1361.57 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:05:00.31 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 : 6927.04 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:04:42.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.52 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 0.082 p-value of test : 0.89 Anderson-Darling statistic = A2 : 1.60 p-value of test : 0.15 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 18.60 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:02:32.98 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.017 p-value of test : 0.98 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.27 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 : 60 Chi-square statistic : 78.32 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:05:57.32 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 : 0.63 p-value of test : 0.99 ----------------------------------------------- CPU time used : 00:01:53.05 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 5, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 120 Expected number per cell = 8333333.3 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.9500005e-08, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 119 Value of the statistic : 138.27 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:03:11.69 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 : 5118.13 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:20.93 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 : 0.32 ----------------------------------------------- CPU time used : 00:04:07.50 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 : 45957 p-value of test : 0.36 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869957 j = 1 : 399908091 j = 2 : 45947 j = 3 : 5 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:18.82 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 : 46047 p-value of test : 0.22 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870047 j = 1 : 399907908 j = 2 : 46043 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:30.26 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+ : 0.17 p-value of test : 0.08 Kolmogorov-Smirnov- statistic = D- : 0.047 p-value of test : 0.81 Anderson-Darling statistic = A2 : 2.47 p-value of test : 0.05 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 3.99e+6 p-value of test : 0.97 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.065 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.068 p-value of test : 0.66 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:04:32.81 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+ : 0.071 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.088 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.39 p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.34 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.46 Kolmogorov-Smirnov- statistic = D- : 0.082 p-value of test : 0.63 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:04:13.00 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+ : 0.23 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.024 p-value of test : 0.96 Anderson-Darling statistic = A2 : 1.14 p-value of test : 0.29 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.91 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.069 p-value of test : 0.79 Anderson-Darling statistic = A2 : 0.63 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:03:27.70 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+ : 0.22 p-value of test : 0.13 Kolmogorov-Smirnov- statistic = D- : 0.071 p-value of test : 0.78 Anderson-Darling statistic = A2 : 1.37 p-value of test : 0.21 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.92 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.25 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.033 p-value of test : 0.94 Anderson-Darling statistic = A2 : 1.70 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:04:03.63 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.35 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.24 Anderson-Darling statistic = A2 : 1.15 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:03:39.32 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.20 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.050 p-value of test : 0.87 Anderson-Darling statistic = A2 : 1.43 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:47.28 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.080 p-value of test : 0.74 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.33 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:03:47.11 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.49e-4 p-value of test : 0.41 Kolmogorov-Smirnov- statistic = D- : 1.74e-4 p-value of test : 0.30 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:00:49.28 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.60e-4 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 9.18e-5 p-value of test : 0.71 Anderson-Darling statistic = A2 : 1.75 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:00:51.45 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -0.68 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:00:52.80 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 1.44 p-value of test : 0.08 ----------------------------------------------- CPU time used : 00:00:52.87 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 : 0.10 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:02:50.61 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 : -1.04 p-value of test : 0.85 ----------------------------------------------- CPU time used : 00:02:51.85 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 : 52.30 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:59.73 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 : 59.97 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:02:23.43 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 : 54.30 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:02:23.18 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 : 32.59 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:02:00.62 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 : 26.59 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:02:21.10 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 : 32.28 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:20.67 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 : 30.01 p-value of test : 0.41 ----------------------------------------------- CPU time used : 00:04:04.77 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+ : 0.20 p-value of test : 0.39 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.72 Anderson-Darling statistic = A2 : 0.59 p-value of test : 0.65 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 31.54 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:01:48.06 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+ : 0.35 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.49 Anderson-Darling statistic = A2 : 1.11 p-value of test : 0.30 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 30.67 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:51.09 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 : 5.85 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:02:49.70 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 : 4.54 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:48.59 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 : 1.72 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:02:09.40 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 : 2.91 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:01:50.92 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+ : 0.051 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.34 p-value of test : 0.08 Anderson-Darling statistic = A2 : 1.79 p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 151.61 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:01:18.59 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+ : 0.31 p-value of test : 0.11 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.51 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 : 17430 Chi-square statistic :17316.53 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:03.61 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 : 36.06 p-value of test : 0.47 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 38.28 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 13.99 p-value of test : 0.96 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 14.64 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 15.93 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:15.19 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 : 22.23 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 27.38 p-value of test : 0.82 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 26.38 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 28.41 p-value of test : 0.24 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 7.55 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:17.39 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 : 121.57 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 145.93 p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 518.52 p-value of test : 0.27 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 137.38 p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 74.28 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:01:30.47 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 : 121.06 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 125.25 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 455.69 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 123.32 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 82.09 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:29.56 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 : 399.71 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 346.35 p-value of test : 0.92 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5110.82 p-value of test : 0.13 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 387.31 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 212.18 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:01:30.93 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 : 395.76 p-value of test : 0.33 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 432.18 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4924.94 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 406.18 p-value of test : 0.15 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 215.50 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:32.73 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 : 14.01 p-value of test : 0.30 ----------------------------------------------- Normal statistic for number of jumps : -347.70 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:31.45 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 : 11.29 p-value of test : 0.50 ----------------------------------------------- Normal statistic for number of jumps : -348.44 p-value of test : 1 - eps1 ***** ----------------------------------------------- CPU time used : 00:00:29.80 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 : 0.56 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.44 p-value of test : 0.80 Tests on the sum of all N observations Standardized normal statistic : 0.092 p-value of test : 0.46 Sample variance : 0.65 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:16.95 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+ : 0.16 p-value of test : 0.53 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 Tests on the sum of all N observations Standardized normal statistic : 0.23 p-value of test : 0.41 Sample variance : 1.92 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:01:22.02 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+ : 8.58e-3 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 9.36e-3 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.52 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:03.75 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+ : 0.011 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 6.60e-3 p-value of test : 0.70 Anderson-Darling statistic = A2 : 0.53 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:00.61 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 : 1.77 p-value of test : 0.99 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:02:15.18 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 : 8.73 p-value of test : 0.37 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:02:16.90 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.53 Kolmogorov-Smirnov- statistic = D- : 0.25 p-value of test : 0.25 Anderson-Darling statistic = A2 : 0.69 p-value of test : 0.56 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 205.79 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:04:36.09 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.088 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 0.29 p-value of test : 0.16 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 : 216.09 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:04:30.33 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+ : 0.27 p-value of test : 0.19 Kolmogorov-Smirnov- statistic = D- : 0.095 p-value of test : 0.79 Anderson-Darling statistic = A2 : 0.79 p-value of test : 0.49 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9872.78 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:01:28.77 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 : 0.49 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.60 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.89 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9969.35 p-value of test : 0.58 ----------------------------------------------- CPU time used : 00:01:32.20 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : 0.76 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:53.41 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.91 p-value of test : 0.18 ----------------------------------------------- CPU time used : 00:01:42.09 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -0.89 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:06:43.70 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+ : 0.15 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.31 p-value of test : 0.12 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4940.17 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:02:54.90 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+ : 0.047 p-value of test : 0.93 Kolmogorov-Smirnov- statistic = D- : 0.43 p-value of test : 0.02 Anderson-Darling statistic = A2 : 3.12 p-value of test : 0.02 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 5101.00 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:58.09 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 : 4280.11 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:02:08.72 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 : 4212.97 p-value of test : 0.15 ----------------------------------------------- CPU time used : 00:02:10.56 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 :11787.19 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:02:19.70 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 :11649.96 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:02:23.70 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 : 49.37 p-value of test : 0.65 ----------------------------------------------- Total number of bits: 7999951002 Normal statistic for number of bits : -0.39 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:53.43 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 : 58.68 p-value of test : 0.31 ----------------------------------------------- Total number of bits: 8000064339 Normal statistic for number of bits : 0.51 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:01:55.81 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+ : 0.099 p-value of test : 0.77 Kolmogorov-Smirnov- statistic = D- : 0.22 p-value of test : 0.32 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 Tests on the sum of all N observations Standardized normal statistic : 1.02 p-value of test : 0.15 Sample variance : 0.71 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:03:24.86 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+ : 0.17 p-value of test : 0.49 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.63 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.79 Tests on the sum of all N observations Standardized normal statistic : -0.57 p-value of test : 0.71 Sample variance : 1.08 p-value of test : 0.37 ----------------------------------------------- CPU time used : 00:03:00.38 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+ : 0.55 p-value of test : 1.1e-3 Kolmogorov-Smirnov- statistic = D- : 0.070 p-value of test : 0.87 Anderson-Darling statistic = A2 : 4.04 p-value of test : 8.7e-3 Tests on the sum of all N observations Standardized normal statistic : -2.34 p-value of test : 0.9905 Sample variance : 0.33 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:03:23.70 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+ : 0.16 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.095 p-value of test : 0.79 Anderson-Darling statistic = A2 : 0.35 p-value of test : 0.89 Tests on the sum of all N observations Standardized normal statistic : -0.12 p-value of test : 0.55 Sample variance : 1.46 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:03:02.50 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:21:32.47 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 08:39:36 # # Exit value: 0 # Bytes used: 1428418174976 >= 2^40 (1.4 TB) # # Test duration: 374.13941990663335 minutes #