# # RandomSource: MSWS # RNG: org.apache.commons.rng.core.source32.MiddleSquareWeylSequence # Seed: 1b756d9aa926c31de561037631a4ba1e1b756d9aa926c31d # # 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: 2019-10-10 07:02:56 # 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 : 0.13 ----------------------------------------------- CPU time used : 00:02:10.84 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 : 0.49 ----------------------------------------------- CPU time used : 00:02:15.73 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 : 1375 p-value of test : 0.39 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334495 j = 1 : 599997250 j = 2 : 1375 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:44.32 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 : 1364 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334484 j = 1 : 599997272 j = 2 : 1364 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:59.78 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 : 00:04:47.42 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 : 1384 p-value of test : 0.30 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334504 j = 1 : 599997232 j = 2 : 1384 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:50.06 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 : 1355 p-value of test : 0.59 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334475 j = 1 : 599997290 j = 2 : 1355 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:44.73 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 : 1355 p-value of test : 0.59 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334475 j = 1 : 599997290 j = 2 : 1355 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:49.59 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 : 1295 p-value of test : 0.97 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334415 j = 1 : 599997410 j = 2 : 1295 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:41.46 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 : 1373 p-value of test : 0.41 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334493 j = 1 : 599997254 j = 2 : 1373 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:47.94 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 : 1365 p-value of test : 0.50 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334485 j = 1 : 599997270 j = 2 : 1365 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:45.44 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 : 1331 p-value of test : 0.81 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334451 j = 1 : 599997338 j = 2 : 1331 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:41.53 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 : 5463 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:05:36.40 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 : 4341 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:02:29.05 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 : 7328 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:04:18.59 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 : 4354 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:03:12.01 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 : 4240 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:03:19.71 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 : 7293 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:05:20.40 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 : 7413 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:05:33.14 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 : 7277 p-value of test : 0.68 ----------------------------------------------- CPU time used : 00:07:14.67 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 : 7392 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:07:54.52 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.71 p-value of test : 0.55 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.66 p-value of test : 0.59 Test on the Nm values of W_{n,i}(mNP1): 1.09 p-value of test : 0.32 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 891 p-value of test : 0.61 Stat. AD (mNP2) : 2.40 p-value of test : 0.06 Stat. AD after spacings (mNP2-S) : 0.53 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:03:42.43 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) : 0.66 p-value of test : 0.59 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) : 1.93 p-value of test : 0.10 Test on the Nm values of W_{n,i}(mNP1): 0.78 p-value of test : 0.49 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 600 p-value of test : 0.51 Stat. AD (mNP2) : 0.50 p-value of test : 0.75 Stat. AD after spacings (mNP2-S) : 0.18 p-value of test : 0.9954 ----------------------------------------------- CPU time used : 00:02:14.72 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) : 0.82 p-value of test : 0.46 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) : 1.22 p-value of test : 0.26 Test on the Nm values of W_{n,i}(mNP1): 0.62 p-value of test : 0.63 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 315 p-value of test : 0.20 Stat. AD (mNP2) : 1.89 p-value of test : 0.11 Stat. AD after spacings (mNP2-S) : 0.51 p-value of test : 0.74 ----------------------------------------------- CPU time used : 00:03:52.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 1.70 p-value of test : 0.14 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) : 3.81 p-value of test : 0.01 Test on the Nm values of W_{n,i}(mNP1): 3.67 p-value of test : 0.01 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 134 p-value of test : 0.90 Stat. AD (mNP2) : 0.47 p-value of test : 0.78 Stat. AD after spacings (mNP2-S) : 0.81 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:04:20.82 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 7.27 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:47.77 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 : 9.91 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:01.89 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 : 17.00 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:43.43 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 : 25.25 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:59.72 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 : 68.16 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:19.02 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 : 70.53 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:02:39.35 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 : 55.35 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:02:40.42 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 : 56.30 p-value of test : 0.39 ----------------------------------------------- CPU time used : 00:02:41.39 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 : 195.25 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:03:14.10 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 : 430.80 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:04:18.86 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 : 1363.68 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:04:51.11 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 : 6934.25 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:04:17.45 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.46 p-value of test : 0.78 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 30.70 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:02:22.60 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.57 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.43 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 : 60 Chi-square statistic : 64.06 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:05:23.29 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 : 12.44 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:43.37 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 : 113.18 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:36.06 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 5, t = 7, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 5040 Expected number per cell = 99206.349 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 5.0390004e-06, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5039 Value of the statistic : 4956.97 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:58.17 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 : 0.41 ----------------------------------------------- CPU time used : 00:03:38.44 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 : 46126 p-value of test : 0.13 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870126 j = 1 : 399907748 j = 2 : 46126 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:15.92 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 : 46010 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 1743165870010 j = 1 : 399907983 j = 2 : 46004 j = 3 : 3 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:12.77 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+ : 0.10 p-value of test : 0.42 Kolmogorov-Smirnov- statistic = D- : 0.060 p-value of test : 0.72 Anderson-Darling statistic = A2 : 0.53 p-value of test : 0.72 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.56 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.024 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.10 Anderson-Darling statistic = A2 : 1.93 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:04:10.93 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+ : 0.20 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 0.087 p-value of test : 0.60 Anderson-Darling statistic = A2 : 1.33 p-value of test : 0.22 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.80 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.087 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.079 p-value of test : 0.65 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:04:09.70 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+ : 0.10 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.29 p-value of test : 0.95 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.47 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.18 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:03:20.67 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+ : 0.16 p-value of test : 0.34 Kolmogorov-Smirnov- statistic = D- : 0.085 p-value of test : 0.71 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 : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.78 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.15 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.23 Anderson-Darling statistic = A2 : 1.03 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:03:58.30 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.087 p-value of test : 0.51 Anderson-Darling statistic = A2 : 0.63 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:03:32.45 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.058 p-value of test : 0.84 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.09 Anderson-Darling statistic = A2 : 0.70 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:34.61 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.038 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.12 p-value of test : 0.50 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:03:30.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 2.43e-4 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 5.55e-5 p-value of test : 0.88 Anderson-Darling statistic = A2 : 1.65 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:00:42.64 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.77e-5 p-value of test : 0.74 Kolmogorov-Smirnov- statistic = D- : 1.68e-4 p-value of test : 0.33 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:00:47.93 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -1.94 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:00:47.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 0.89 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:45.10 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 : -0.32 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:25.34 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 : 0.61 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:02:30.55 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 : 71.24 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:01:57.92 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 : 69.33 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:18.76 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 : 61.35 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:02:14.90 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 : 37.73 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:02:01.29 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 : 38.63 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:13.56 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 : 43.18 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:02:16.86 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 : 28.51 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:03:53.54 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+ : 0.36 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 8.41e-3 p-value of test : 0.9909 Anderson-Darling statistic = A2 : 2.36 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 24.42 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:46.15 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+ : 0.12 p-value of test : 0.68 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.56 p-value of test : 0.69 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 45.70 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:46.39 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 : 2.73 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:02:47.59 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 : 1.43 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:43.21 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 : 2.35 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:02:11.15 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 : 0.85 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:01:57.57 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+ : 0.25 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.097 p-value of test : 0.78 Anderson-Darling statistic = A2 : 1.23 p-value of test : 0.26 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 124.21 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:01:22.70 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+ : 0.032 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.38 Anderson-Darling statistic = A2 : 0.56 p-value of test : 0.68 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17619.39 p-value of test : 0.16 ----------------------------------------------- CPU time used : 00:02:04.20 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 : 27.28 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 33.35 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 13.74 p-value of test : 0.97 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 16.00 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 21.30 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:01:11.15 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 : 30.49 p-value of test : 0.73 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 31.33 p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 20.89 p-value of test : 0.70 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 21.55 p-value of test : 0.61 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 15.97 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:01:11.20 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 : 132.15 p-value of test : 0.79 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 158.71 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 436.21 p-value of test : 0.98 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 148.17 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 71.19 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:24.20 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 : 138.89 p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 157.37 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 497.98 p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 139.40 p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 82.04 p-value of test : 0.24 ----------------------------------------------- CPU time used : 00:01:21.54 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 : 372.79 p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 399.94 p-value of test : 0.28 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4961.30 p-value of test : 0.65 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 369.12 p-value of test : 0.62 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 197.23 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:01:23.35 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 : 355.63 p-value of test : 0.85 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 401.91 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5287.76 p-value of test : 2.3e-3 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 376.59 p-value of test : 0.51 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 205.41 p-value of test : 0.38 ----------------------------------------------- CPU time used : 00:01:24.96 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 : 29.06 p-value of test : 3.9e-3 ----------------------------------------------- Normal statistic for number of jumps : 1.71 p-value of test : 0.04 ----------------------------------------------- CPU time used : 00:02:48.77 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 : 8.16 p-value of test : 0.77 ----------------------------------------------- Normal statistic for number of jumps : 0.59 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:02:48.93 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+ : 0.31 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 0.034 p-value of test : 0.95 Anderson-Darling statistic = A2 : 1.43 p-value of test : 0.19 Tests on the sum of all N observations Standardized normal statistic : -1.49 p-value of test : 0.93 Sample variance : 0.68 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:01:19.18 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+ : 0.10 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.40 Anderson-Darling statistic = A2 : 0.62 p-value of test : 0.63 Tests on the sum of all N observations Standardized normal statistic : 0.87 p-value of test : 0.19 Sample variance : 1.31 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:01:25.30 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+ : 0.014 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 4.56e-3 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.45 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:00:57.38 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+ : 5.09e-3 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 0.016 p-value of test : 0.11 Anderson-Darling statistic = A2 : 1.44 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:00:54.89 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 : 8.58 p-value of test : 0.38 ----------------------------------------------- Global longest run of 1 : 33.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:56.78 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 : 9.59 p-value of test : 0.29 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:54.43 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.51 Kolmogorov-Smirnov- statistic = D- : 0.20 p-value of test : 0.41 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 : 200 Chi-square statistic : 201.65 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:03:55.14 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.45 Kolmogorov-Smirnov- statistic = D- : 0.079 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.88 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 188.33 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:04:01.85 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+ : 0.16 p-value of test : 0.54 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.57 Anderson-Darling statistic = A2 : 0.61 p-value of test : 0.63 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9990.81 p-value of test : 0.52 ----------------------------------------------- CPU time used : 00:01:15.07 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+ : 0.13 p-value of test : 0.67 Kolmogorov-Smirnov- statistic = D- : 0.29 p-value of test : 0.15 Anderson-Darling statistic = A2 : 0.91 p-value of test : 0.41 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10095.26 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:17.87 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -2.03 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:35.33 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.68 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:27.70 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 0.13 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:05:40.52 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+ : 0.23 p-value of test : 0.31 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.36 p-value of test : 0.88 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4857.69 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:27.38 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+ : 0.063 p-value of test : 0.89 Kolmogorov-Smirnov- statistic = D- : 0.35 p-value of test : 0.07 Anderson-Darling statistic = A2 : 1.39 p-value of test : 0.20 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 5018.91 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:02:25.45 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 : 4086.58 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:01:47.79 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 : 4138.66 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:01:45.34 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 :11729.27 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:01:56.52 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 :11926.45 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:57.33 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 : 51.76 p-value of test : 0.56 ----------------------------------------------- Total number of bits: 8000000301 Normal statistic for number of bits : 2.38e-3 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:36.00 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 : 58.41 p-value of test : 0.32 ----------------------------------------------- Total number of bits: 7999885245 Normal statistic for number of bits : -0.91 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:01:36.41 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+ : 0.14 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.37 p-value of test : 0.87 Tests on the sum of all N observations Standardized normal statistic : 0.027 p-value of test : 0.49 Sample variance : 0.76 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:03:13.04 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+ : 0.18 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.31 p-value of test : 0.12 Anderson-Darling statistic = A2 : 0.89 p-value of test : 0.42 Tests on the sum of all N observations Standardized normal statistic : 0.48 p-value of test : 0.32 Sample variance : 0.82 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:02:50.88 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+ : 0.21 p-value of test : 0.38 Kolmogorov-Smirnov- statistic = D- : 0.23 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.60 p-value of test : 0.65 Tests on the sum of all N observations Standardized normal statistic : 0.20 p-value of test : 0.42 Sample variance : 0.83 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:03:11.70 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+ : 0.12 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.32 p-value of test : 0.10 Anderson-Darling statistic = A2 : 0.81 p-value of test : 0.47 Tests on the sum of all N observations Standardized normal statistic : 0.60 p-value of test : 0.27 Sample variance : 1.15 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:02:53.52 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:08:02.50 All tests were passed # # End: 2019-10-10 12:15:59 # # Exit value: 0 # Bytes used: 1428423458816 >= 2^40 (1.4 TB) # # Test duration: 313.04146096525 minutes #