# # RandomSource: KISS # RNG: org.apache.commons.rng.core.source32.KISSRandom # Seed: 8e223c7f3e6121c403e1edbbae40e469 # # 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 23:11:03 # 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 : 0.14 ----------------------------------------------- CPU time used : 00:02:00.23 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 : 0.29 ----------------------------------------------- CPU time used : 00:02:04.53 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 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 : 1351 p-value of test : 0.63 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334471 j = 1 : 599997298 j = 2 : 1351 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:24.54 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 : 1350 p-value of test : 0.64 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334470 j = 1 : 599997300 j = 2 : 1350 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:38.23 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 : 1387 p-value of test : 0.27 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334507 j = 1 : 599997226 j = 2 : 1387 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:25.64 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 : 1348 p-value of test : 0.66 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334468 j = 1 : 599997304 j = 2 : 1348 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:36.88 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 : 1358 p-value of test : 0.56 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334478 j = 1 : 599997284 j = 2 : 1358 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:42.98 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 : 1350 p-value of test : 0.64 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334470 j = 1 : 599997300 j = 2 : 1350 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:49.31 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 : 1371 p-value of test : 0.43 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334491 j = 1 : 599997258 j = 2 : 1371 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:39.11 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 : 1367 p-value of test : 0.47 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334487 j = 1 : 599997266 j = 2 : 1367 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:50.19 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 : 1266 p-value of test : 0.9963 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334386 j = 1 : 599997468 j = 2 : 1266 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:44.98 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 : 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 : 00:04:57.11 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 : 5351 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:05:37.32 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 : 4272 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:02:27.40 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 : 7402 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:04:07.84 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 : 4329 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:03:05.86 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 : 4218 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:03:06.71 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 : 7366 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:04:52.51 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 : 7204 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:04:56.22 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 : 7198 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:06:33.25 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 : 7312 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:06:50.60 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) : 2.26 p-value of test : 0.07 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) : 0.70 p-value of test : 0.56 Test on the Nm values of W_{n,i}(mNP1): 3.70 p-value of test : 0.01 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 839 p-value of test : 0.98 Stat. AD (mNP2) : 0.94 p-value of test : 0.39 Stat. AD after spacings (mNP2-S) : 1.01 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:04:04.88 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) : 0.54 p-value of test : 0.70 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 2.23 p-value of test : 0.07 Test on the Nm values of W_{n,i}(mNP1): 0.63 p-value of test : 0.62 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 598 p-value of test : 0.52 Stat. AD (mNP2) : 1.08 p-value of test : 0.32 Stat. AD after spacings (mNP2-S) : 0.33 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:30.32 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) : 0.38 p-value of test : 0.87 A2 test based on the spacings between the successive jump times of process Y_n(t): A2 test on the values of A2 (m-NP) : 0.76 p-value of test : 0.51 Test on the Nm values of W_{n,i}(mNP1): 1.35 p-value of test : 0.22 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 307 p-value of test : 0.35 Stat. AD (mNP2) : 0.60 p-value of test : 0.65 Stat. AD after spacings (mNP2-S) : 0.42 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:03:51.72 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) : 1.36 p-value of test : 0.21 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) : 1.08 p-value of test : 0.31 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 : 137 p-value of test : 0.85 Stat. AD (mNP2) : 0.79 p-value of test : 0.49 Stat. AD after spacings (mNP2-S) : 0.92 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:04:12.52 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 : 8.95 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:01:36.26 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 27, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 6.31 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:46.51 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 : 17.33 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:33.35 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 : 21.17 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:01:43.47 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 : 52.51 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:07.64 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 : 59.09 p-value of test : 0.30 ----------------------------------------------- CPU time used : 00:02:25.81 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 : 57.55 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:26.80 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 : 45.95 p-value of test : 0.77 ----------------------------------------------- CPU time used : 00:02:24.81 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Gap test: ----------------------------------------------- N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625 ----------------------------------------------- Number of degrees of freedom : 232 Chi-square statistic : 250.25 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:59.14 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 : 431.23 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:04:02.57 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 : 1356.68 p-value of test : 0.94 ----------------------------------------------- CPU time used : 00:04:36.15 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 : 7048.13 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:04:21.94 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.77 Kolmogorov-Smirnov- statistic = D- : 0.55 p-value of test : 0.03 Anderson-Darling statistic = A2 : 1.75 p-value of test : 0.13 Test on the sum of all N observations Number of degrees of freedom : 30 Chi-square statistic : 39.55 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:02:19.37 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.21 p-value of test : 0.99 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 61.67 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:05:21.20 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 : 4.86 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:37.95 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 : 114.18 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:45.48 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 : 5008.61 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:01.40 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 500000000, r = 10, t = 10, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 3628800 Expected number per cell = 137.7866 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 0.0036287993, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 3628799 Value of the statistic : 3.62e+6 p-value of test : 0.95 ----------------------------------------------- CPU time used : 00:03:38.53 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 : 45720 p-value of test : 0.77 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869720 j = 1 : 399908562 j = 2 : 45716 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:00.04 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 : 45711 p-value of test : 0.78 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869711 j = 1 : 399908588 j = 2 : 45691 j = 3 : 10 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:10.30 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+ : 0.068 p-value of test : 0.66 Kolmogorov-Smirnov- statistic = D- : 0.095 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.57 p-value of test : 0.67 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.27 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.091 p-value of test : 0.49 Kolmogorov-Smirnov- statistic = D- : 0.16 p-value of test : 0.10 Anderson-Darling statistic = A2 : 2.31 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:04:16.20 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+ : 0.16 p-value of test : 0.18 Kolmogorov-Smirnov- statistic = D- : 0.035 p-value of test : 0.91 Anderson-Darling statistic = A2 : 0.95 p-value of test : 0.39 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.86 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.083 p-value of test : 0.63 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.31 Anderson-Darling statistic = A2 : 0.80 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:04:04.44 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+ : 0.079 p-value of test : 0.74 Kolmogorov-Smirnov- statistic = D- : 0.17 p-value of test : 0.29 Anderson-Darling statistic = A2 : 0.66 p-value of test : 0.59 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.30 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.44 Kolmogorov-Smirnov- statistic = D- : 0.082 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:03:23.60 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+ : 0.075 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.36 Anderson-Darling statistic = A2 : 0.48 p-value of test : 0.76 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.36 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.038 p-value of test : 0.92 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.41 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:04:06.14 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.057 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.02 Anderson-Darling statistic = A2 : 1.72 p-value of test : 0.13 ----------------------------------------------- CPU time used : 00:03:38.20 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.18 p-value of test : 0.25 Kolmogorov-Smirnov- statistic = D- : 0.037 p-value of test : 0.93 Anderson-Darling statistic = A2 : 0.76 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:02:44.15 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.32 p-value of test : 0.01 Kolmogorov-Smirnov- statistic = D- : 0.020 p-value of test : 0.97 Anderson-Darling statistic = A2 : 3.33 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:03:40.29 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.67e-5 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 2.45e-4 p-value of test : 0.09 Anderson-Darling statistic = A2 : 2.31 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:00:45.02 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 1.14e-4 p-value of test : 0.60 Kolmogorov-Smirnov- statistic = D- : 2.10e-4 p-value of test : 0.17 Anderson-Darling statistic = A2 : 1.01 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:00:51.77 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : -1.49 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:00:52.95 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : 0.40 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:00:52.03 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 : 1.25 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:02:41.82 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 : -1.35 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:02:48.44 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 : 75.42 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:02:01.79 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 : 70.88 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:02:27.27 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 : 51.23 p-value of test : 0.92 ----------------------------------------------- CPU time used : 00:02:27.88 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 : 54.69 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:02:00.94 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 : 47.61 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:02:26.29 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 : 35.61 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:02:26.95 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 : 31.66 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:04:12.13 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- : 0.090 p-value of test : 0.81 Anderson-Darling statistic = A2 : 0.68 p-value of test : 0.57 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 30.39 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:49.45 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+ : 0.13 p-value of test : 0.64 Kolmogorov-Smirnov- statistic = D- : 0.087 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.25 p-value of test : 0.97 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 40.24 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:01:50.19 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 : 0.91 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:49.07 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 : 11.44 p-value of test : 9.6e-3 ----------------------------------------------- CPU time used : 00:02:47.09 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 0.66 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:02:20.12 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000 ----------------------------------------------- Number of degrees of freedom : 2 Chi-square statistic : 1.04 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:52.85 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+ : 0.075 p-value of test : 0.86 Kolmogorov-Smirnov- statistic = D- : 0.28 p-value of test : 0.17 Anderson-Darling statistic = A2 : 0.83 p-value of test : 0.46 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 140.39 p-value of test : 0.25 ----------------------------------------------- CPU time used : 00:01:16.84 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+ : 0.15 p-value of test : 0.58 Kolmogorov-Smirnov- statistic = D- : 0.085 p-value of test : 0.82 Anderson-Darling statistic = A2 : 0.27 p-value of test : 0.96 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17374.45 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:02:02.23 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 : 42.11 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 36.25 p-value of test : 0.41 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 30.02 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 35.99 p-value of test : 0.05 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 12.59 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:01:15.07 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 : 25.62 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 35.56 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 20.46 p-value of test : 0.72 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 18.61 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 14.67 p-value of test : 0.62 ----------------------------------------------- CPU time used : 00:01:11.65 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 : 133.20 p-value of test : 0.77 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 159.54 p-value of test : 0.21 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 542.61 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 129.72 p-value of test : 0.64 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 100.16 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:01:25.19 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 : 159.95 p-value of test : 0.20 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 153.23 p-value of test : 0.32 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 462.28 p-value of test : 0.89 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 166.15 p-value of test : 0.04 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 90.13 p-value of test : 0.10 ----------------------------------------------- CPU time used : 00:01:25.37 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 : 398.85 p-value of test : 0.29 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 416.75 p-value of test : 0.12 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5049.86 p-value of test : 0.31 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 398.87 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 206.92 p-value of test : 0.35 ----------------------------------------------- CPU time used : 00:01:27.34 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 : 379.53 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 386.74 p-value of test : 0.45 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4874.84 p-value of test : 0.90 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 338.04 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 196.01 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:26.68 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 13.73 p-value of test : 0.32 ----------------------------------------------- Normal statistic for number of jumps : -1.88 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:02:41.55 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 : 7.29 p-value of test : 0.84 ----------------------------------------------- Normal statistic for number of jumps : -1.24 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:02:41.77 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+ : 0.10 p-value of test : 0.76 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.59 Anderson-Darling statistic = A2 : 0.28 p-value of test : 0.95 Tests on the sum of all N observations Standardized normal statistic : 0.46 p-value of test : 0.32 Sample variance : 1.00 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:23.59 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+ : 0.15 p-value of test : 0.59 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.73 Anderson-Darling statistic = A2 : 0.32 p-value of test : 0.92 Tests on the sum of all N observations Standardized normal statistic : -0.46 p-value of test : 0.68 Sample variance : 0.85 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:26.29 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+ : 6.12e-3 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 7.34e-3 p-value of test : 0.64 Anderson-Darling statistic = A2 : 0.38 p-value of test : 0.87 ----------------------------------------------- CPU time used : 00:00:57.62 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+ : 5.88e-3 p-value of test : 0.75 Kolmogorov-Smirnov- statistic = D- : 7.24e-3 p-value of test : 0.65 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:00:54.72 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 : 10.19 p-value of test : 0.25 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:55.23 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 : 13.11 p-value of test : 0.11 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:54.79 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.35 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.67 Anderson-Darling statistic = A2 : 0.55 p-value of test : 0.69 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 188.11 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:04:06.09 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.14 p-value of test : 0.61 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.22 Anderson-Darling statistic = A2 : 1.07 p-value of test : 0.32 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 212.37 p-value of test : 0.26 ----------------------------------------------- CPU time used : 00:04:15.81 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+ : 0.28 p-value of test : 0.17 Kolmogorov-Smirnov- statistic = D- : 0.067 p-value of test : 0.88 Anderson-Darling statistic = A2 : 1.09 p-value of test : 0.31 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9827.82 p-value of test : 0.89 ----------------------------------------------- CPU time used : 00:01:27.78 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+ : 0.030 p-value of test : 0.96 Kolmogorov-Smirnov- statistic = D- : 0.37 p-value of test : 0.05 Anderson-Darling statistic = A2 : 2.30 p-value of test : 0.06 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic :10261.19 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:30.26 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -0.42 p-value of test : 0.66 ----------------------------------------------- CPU time used : 00:01:36.98 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : 0.17 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:38.85 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : 1.35 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:06:22.11 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- : 0.16 p-value of test : 0.55 Anderson-Darling statistic = A2 : 0.54 p-value of test : 0.70 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4887.81 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:02:50.15 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+ : 0.12 p-value of test : 0.69 Kolmogorov-Smirnov- statistic = D- : 0.30 p-value of test : 0.13 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 : 4890 Chi-square statistic : 4966.41 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:02:54.09 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 : 4160.98 p-value of test : 0.31 ----------------------------------------------- CPU time used : 00:02:09.54 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 : 4069.35 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:09.04 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 :11891.20 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:02:16.63 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 :11739.72 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:02:14.43 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000001 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 59.40 p-value of test : 0.29 ----------------------------------------------- Total number of bits: 8000007792 Normal statistic for number of bits : 0.062 p-value of test : 0.48 ----------------------------------------------- CPU time used : 00:01:43.20 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_Run test: ----------------------------------------------- N = 1, n = 2000000000, r = 27, s = 3 ----------------------------------------------- Total number of 1 runs: 2000000000 Number of degrees of freedom : 54 Chi2 statistic for number of runs : 70.70 p-value of test : 0.06 ----------------------------------------------- Total number of bits: 8000018934 Normal statistic for number of bits : 0.15 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:01:41.72 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+ : 0.012 p-value of test : 0.99 Kolmogorov-Smirnov- statistic = D- : 0.40 p-value of test : 0.03 Anderson-Darling statistic = A2 : 2.58 p-value of test : 0.05 Tests on the sum of all N observations Standardized normal statistic : 2.09 p-value of test : 0.02 Sample variance : 0.54 p-value of test : 0.84 ----------------------------------------------- CPU time used : 00:03:16.88 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+ : 0.23 p-value of test : 0.29 Kolmogorov-Smirnov- statistic = D- : 0.21 p-value of test : 0.37 Anderson-Darling statistic = A2 : 0.87 p-value of test : 0.43 Tests on the sum of all N observations Standardized normal statistic : 0.12 p-value of test : 0.45 Sample variance : 1.89 p-value of test : 0.05 ----------------------------------------------- CPU time used : 00:02:59.41 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+ : 0.043 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.35 p-value of test : 0.06 Anderson-Darling statistic = A2 : 1.59 p-value of test : 0.16 Tests on the sum of all N observations Standardized normal statistic : 1.59 p-value of test : 0.06 Sample variance : 0.74 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:03:18.38 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+ : 5.72e-3 p-value of test : 0.9940 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.93 p-value of test : 0.39 Tests on the sum of all N observations Standardized normal statistic : 1.39 p-value of test : 0.08 Sample variance : 1.37 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:59.11 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:08:24.47 All tests were passed # # End: 2019-10-09 04:30:02 # # Exit value: 0 # Bytes used: 1428407934976 >= 2^40 (1.4 TB) # # Test duration: 318.9853914429167 minutes #