# # RandomSource: KISS # RNG: org.apache.commons.rng.core.source32.KISSRandom # Seed: 0e38ecc0850ba329ca762b13f6769148 # # 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 19:01:37 # 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 : 0.89 ----------------------------------------------- CPU time used : 00:02:12.71 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 : 0.62 ----------------------------------------------- CPU time used : 00:02:18.69 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 : 1386 p-value of test : 0.28 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334506 j = 1 : 599997228 j = 2 : 1386 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:03:55.62 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 : 1397 p-value of test : 0.19 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334517 j = 1 : 599997206 j = 2 : 1397 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:06.84 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 : 1357 p-value of test : 0.57 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334477 j = 1 : 599997286 j = 2 : 1357 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:01.27 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 : 1341 p-value of test : 0.73 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334461 j = 1 : 599997318 j = 2 : 1341 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:05.70 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 : 1396 p-value of test : 0.20 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334516 j = 1 : 599997208 j = 2 : 1396 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:56.56 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 : 1429 p-value of test : 0.04 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334549 j = 1 : 599997142 j = 2 : 1429 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:04.36 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 : 1386 p-value of test : 0.28 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334506 j = 1 : 599997228 j = 2 : 1386 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:52.75 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 : 1359 p-value of test : 0.55 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334479 j = 1 : 599997282 j = 2 : 1359 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:14.13 Generator state: N/A *********************************************************** Test smarsa_CollisionOver calling smultin_MultinomialOver *********************************************************** HOST = tallinn, Linux stdin smultin_MultinomialOver test: ----------------------------------------------- N = 30, n = 20000000, r = 0, d = 4, t = 21, Sparse = TRUE GenerCell = smultin_GenerCellSerial Number of cells = d^t = 4398046511104 Expected number per cell = 1 / 219902.33 EColl = n^2 / (2k) = 45.47473509 Hashing = TRUE Collision test CollisionOver: density = n / k = 1 / 219902.33 Expected number of collisions = Mu = 45.47 ----------------------------------------------- Results of CollisionOver test: POISSON approximation : Expected number of collisions = N*Mu : 1364.24 Observed number of collisions : 1424 p-value of test : 0.06 ----------------------------- Total number of cells containing j balls j = 0 : 131940795334544 j = 1 : 599997152 j = 2 : 1424 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:49.86 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 : 1243 p-value of test : 0.9995 ***** ----------------------------- Total number of cells containing j balls j = 0 : 131940795334363 j = 1 : 599997514 j = 2 : 1243 j = 3 : 0 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:04:54.19 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 : 5418 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:05:30.07 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 : 4324 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:02:28.63 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 : 7190 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:04:12.30 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 : 4366 p-value of test : 0.33 ----------------------------------------------- CPU time used : 00:03:07.11 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 : 4385 p-value of test : 0.23 ----------------------------------------------- CPU time used : 00:03:08.60 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 : 7411 p-value of test : 0.14 ----------------------------------------------- CPU time used : 00:05:12.85 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 : 7259 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:05:15.51 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 : 7370 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:07:12.86 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 : 7246 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:07:28.10 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) : 4.86 p-value of test : 3.4e-3 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) : 0.21 p-value of test : 0.99 Test on the Nm values of W_{n,i}(mNP1): 1.26 p-value of test : 0.25 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 900 Number of jumps of Y : 847 p-value of test : 0.96 Stat. AD (mNP2) : 0.43 p-value of test : 0.82 Stat. AD after spacings (mNP2-S) : 2.18 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:03:45.22 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 1.21 p-value of test : 0.26 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) : 0.46 p-value of test : 0.79 Test on the Nm values of W_{n,i}(mNP1): 0.42 p-value of test : 0.83 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 600 Number of jumps of Y : 590 p-value of test : 0.65 Stat. AD (mNP2) : 0.92 p-value of test : 0.40 Stat. AD after spacings (mNP2-S) : 0.20 p-value of test : 0.9908 ----------------------------------------------- CPU time used : 00:02:25.31 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) : 0.54 p-value of test : 0.71 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) : 1.27 p-value of test : 0.24 Test on the Nm values of W_{n,i}(mNP1): 0.43 p-value of test : 0.82 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 300 Number of jumps of Y : 284 p-value of test : 0.81 Stat. AD (mNP2) : 0.84 p-value of test : 0.45 Stat. AD after spacings (mNP2-S) : 1.03 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:04:04.28 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin snpair_ClosePairs test: ----------------------------------------------- N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE --------------------------------------- Test based on the 2 nearest points (NP): Stat. AD on the N values (NP) : 0.90 p-value of test : 0.41 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) : 1.82 p-value of test : 0.12 Test on the Nm values of W_{n,i}(mNP1): 0.68 p-value of test : 0.58 Test on the jump times of Y (superposition of Yn): Expected number of jumps of Y = mN : 150 Number of jumps of Y : 145 p-value of test : 0.64 Stat. AD (mNP2) : 0.97 p-value of test : 0.37 Stat. AD after spacings (mNP2-S) : 1.40 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:04:22.64 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 400000000, r = 0, d = 8, k = 8 ----------------------------------------------- Number of degrees of freedom : 7 Chi-square statistic : 4.92 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:01:47.64 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 : 16.08 p-value of test : 0.02 ----------------------------------------------- CPU time used : 00:02:07.42 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 0, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 15.94 p-value of test : 0.60 ----------------------------------------------- CPU time used : 00:01:48.60 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_SimpPoker test: ----------------------------------------------- N = 1, n = 100000000, r = 25, d = 32, k = 32 ----------------------------------------------- Number of degrees of freedom : 18 Chi-square statistic : 16.78 p-value of test : 0.54 ----------------------------------------------- CPU time used : 00:02:02.77 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 0, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 59.64 p-value of test : 0.28 ----------------------------------------------- CPU time used : 00:02:23.69 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 : 48.23 p-value of test : 0.70 ----------------------------------------------- CPU time used : 00:02:42.18 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_CouponCollector test: ----------------------------------------------- N = 1, n = 200000000, r = 20, d = 8 ----------------------------------------------- Number of degrees of freedom : 54 Chi-square statistic : 62.07 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:02:45.28 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 : 61.64 p-value of test : 0.22 ----------------------------------------------- CPU time used : 00:02:42.85 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 : 204.08 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:03:15.76 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 : 391.57 p-value of test : 0.93 ----------------------------------------------- CPU time used : 00:04:30.12 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 : 1446.30 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:05:00.75 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 : 7062.44 p-value of test : 0.44 ----------------------------------------------- CPU time used : 00:04:43.03 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 5, n = 1000000000, r = 0, Up = FALSE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.11 p-value of test : 0.83 Kolmogorov-Smirnov- statistic = D- : 0.35 p-value of test : 0.23 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 : 30 Chi-square statistic : 40.97 p-value of test : 0.09 ----------------------------------------------- CPU time used : 00:02:28.11 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_Run test: ----------------------------------------------- N = 10, n = 1000000000, r = 15, Up = TRUE ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.35 p-value of test : 0.07 Kolmogorov-Smirnov- statistic = D- : 5.50e-3 p-value of test : 0.9942 Anderson-Darling statistic = A2 : 1.80 p-value of test : 0.12 Test on the sum of all N observations Number of degrees of freedom : 60 Chi-square statistic : 41.45 p-value of test : 0.97 ----------------------------------------------- CPU time used : 00:05:35.96 Generator state: N/A *********************************************************** Test sknuth_Permutation calling smultin_Multinomial *********************************************************** HOST = tallinn, Linux stdin smultin_Multinomial test: ----------------------------------------------- N = 1, n = 1000000000, r = 5, t = 3, Sparse = FALSE GenerCell = smultin_GenerCellPermut Number of cells = t! = 6 Expected number per cell = 1.6666667e+08 Hashing = FALSE For Delta > -1, we use the ChiSquare approximation Correction factor of the ChiSquare: Delta = 1, Mu = 2.5000002e-09, Sigma = 1 ----------------------------------------------- Test Results for Delta = 1.0000 Number of degrees of freedom : 5 Value of the statistic : 6.17 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:40.19 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 : 105.09 p-value of test : 0.81 ----------------------------------------------- CPU time used : 00:02:55.48 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 : 5094.17 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:02:06.86 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 : 0.19 ----------------------------------------------- CPU time used : 00:03:44.28 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 : 45365 p-value of test : 0.9919 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869365 j = 1 : 399909274 j = 2 : 45357 j = 3 : 4 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:01.02 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 : 45789 p-value of test : 0.66 ----------------------------- Total number of cells containing j balls j = 0 : 1743165869789 j = 1 : 399908424 j = 2 : 45785 j = 3 : 2 j = 4 : 0 j = 5 : 0 ----------------------------------------------- CPU time used : 00:05:13.40 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sknuth_MaxOft test: ----------------------------------------------- N = 40, n = 10000000, r = 0, d = 100000, t = 8 Number of categories = 100000 Expected number per category = 100.00 ----------------------------------------------- Test results for chi2 with 99999 degrees of freedom: Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.09 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.19 Anderson-Darling statistic = A2 : 1.84 p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 3999960 Chi-square statistic : 4.00e+6 p-value of test : 0.70 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.22 Kolmogorov-Smirnov- statistic = D- : 0.061 p-value of test : 0.71 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 ----------------------------------------------- CPU time used : 00:04:17.62 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+ : 0.067 p-value of test : 0.73 Kolmogorov-Smirnov- statistic = D- : 0.14 p-value of test : 0.27 Anderson-Darling statistic = A2 : 1.06 p-value of test : 0.33 Test on the sum of all N observations Number of degrees of freedom : 2999970 Chi-square statistic : 3.00e+6 p-value of test : 0.15 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.22 p-value of test : 0.05 Kolmogorov-Smirnov- statistic = D- : 0.030 p-value of test : 0.93 Anderson-Darling statistic = A2 : 1.45 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:04:06.71 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+ : 0.38 p-value of test : 2.1e-3 Kolmogorov-Smirnov- statistic = D- : 0.019 p-value of test : 0.97 Anderson-Darling statistic = A2 : 4.68 p-value of test : 4.2e-3 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 1.99e+6 p-value of test : 0.9974 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.21 p-value of test : 0.16 Kolmogorov-Smirnov- statistic = D- : 0.078 p-value of test : 0.75 Anderson-Darling statistic = A2 : 0.88 p-value of test : 0.42 ----------------------------------------------- CPU time used : 00:03:23.95 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+ : 0.032 p-value of test : 0.94 Kolmogorov-Smirnov- statistic = D- : 0.33 p-value of test : 8.8e-3 Anderson-Darling statistic = A2 : 2.83 p-value of test : 0.03 Test on the sum of all N observations Number of degrees of freedom : 1999980 Chi-square statistic : 2.00e+6 p-value of test : 0.02 ----------------------------------------------- Test results for Anderson-Darling: Kolmogorov-Smirnov+ statistic = D+ : 0.068 p-value of test : 0.80 Kolmogorov-Smirnov- statistic = D- : 0.27 p-value of test : 0.04 Anderson-Darling statistic = A2 : 2.21 p-value of test : 0.07 ----------------------------------------------- CPU time used : 00:03:58.72 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 40, n = 10000000, r = 0, t = 8 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.16 p-value of test : 0.12 Kolmogorov-Smirnov- statistic = D- : 3.50e-3 p-value of test : 0.9960 Anderson-Darling statistic = A2 : 2.38 p-value of test : 0.06 ----------------------------------------------- CPU time used : 00:03:39.87 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 16 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.13 p-value of test : 0.47 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.39 Anderson-Darling statistic = A2 : 0.64 p-value of test : 0.61 ----------------------------------------------- CPU time used : 00:02:42.23 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleProd test: ----------------------------------------------- N = 20, n = 10000000, r = 0, t = 24 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.12 p-value of test : 0.55 Kolmogorov-Smirnov- statistic = D- : 0.048 p-value of test : 0.88 Anderson-Darling statistic = A2 : 0.35 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:03:37.51 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 0 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 9.33e-5 p-value of test : 0.71 Kolmogorov-Smirnov- statistic = D- : 2.23e-4 p-value of test : 0.14 Anderson-Darling statistic = A2 : 1.53 p-value of test : 0.17 ----------------------------------------------- CPU time used : 00:00:47.27 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleMean test: ----------------------------------------------- N = 20000000, n = 30, r = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 7.28e-5 p-value of test : 0.81 Kolmogorov-Smirnov- statistic = D- : 1.33e-4 p-value of test : 0.49 Anderson-Darling statistic = A2 : 0.41 p-value of test : 0.83 ----------------------------------------------- CPU time used : 00:00:49.71 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 1 ----------------------------------------------- Normal statistic : 0.79 p-value of test : 0.21 ----------------------------------------------- CPU time used : 00:00:52.69 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin svaria_SampleCorr test: ----------------------------------------------- N = 1, n = 2000000000, r = 0, k = 2 ----------------------------------------------- Normal statistic : -0.45 p-value of test : 0.67 ----------------------------------------------- CPU time used : 00:00:52.20 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 : 0.11 p-value of test : 0.46 ----------------------------------------------- CPU time used : 00:02:38.79 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 : 0.029 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:02:46.11 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 : 64.59 p-value of test : 0.56 ----------------------------------------------- CPU time used : 00:02:00.55 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 : 63.87 p-value of test : 0.59 ----------------------------------------------- CPU time used : 00:02:24.88 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 : 64.24 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:02:28.79 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 : 55.16 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:02:01.18 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 : 39.53 p-value of test : 0.36 ----------------------------------------------- CPU time used : 00:02:15.54 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 : 36.94 p-value of test : 0.47 ----------------------------------------------- CPU time used : 00:02:17.59 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 : 23.42 p-value of test : 0.76 ----------------------------------------------- CPU time used : 00:03:44.94 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.17 p-value of test : 0.50 Kolmogorov-Smirnov- statistic = D- : 0.18 p-value of test : 0.46 Anderson-Darling statistic = A2 : 0.39 p-value of test : 0.86 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 39.03 p-value of test : 0.51 ----------------------------------------------- CPU time used : 00:01:46.89 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+ : 0.22 p-value of test : 0.33 Kolmogorov-Smirnov- statistic = D- : 0.062 p-value of test : 0.89 Anderson-Darling statistic = A2 : 0.73 p-value of test : 0.53 Test on the sum of all N observations Number of degrees of freedom : 40 Chi-square statistic : 33.01 p-value of test : 0.78 ----------------------------------------------- CPU time used : 00:01:48.81 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin smarsa_MatrixRank test: ----------------------------------------------- N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000 ----------------------------------------------- Number of degrees of freedom : 3 Chi-square statistic : 5.94 p-value of test : 0.11 ----------------------------------------------- CPU time used : 00:02:44.19 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 : 0.29 p-value of test : 0.96 ----------------------------------------------- CPU time used : 00:02:46.98 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 : 0.93 p-value of test : 0.63 ----------------------------------------------- CPU time used : 00:02:16.27 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 : 11.65 p-value of test : 2.9e-3 ----------------------------------------------- CPU time used : 00:02:00.28 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+ : 0.36 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 4.48e-3 p-value of test : 0.9953 Anderson-Darling statistic = A2 : 2.20 p-value of test : 0.07 Test on the sum of all N observations Number of degrees of freedom : 130 Chi-square statistic : 98.03 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:01:18.95 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+ : 0.21 p-value of test : 0.36 Kolmogorov-Smirnov- statistic = D- : 0.40 p-value of test : 0.03 Anderson-Darling statistic = A2 : 1.85 p-value of test : 0.11 Test on the sum of all N observations Number of degrees of freedom : 17430 Chi-square statistic :17592.61 p-value of test : 0.19 ----------------------------------------------- CPU time used : 00:02:00.45 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 : 27.72 p-value of test : 0.84 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 37.28 p-value of test : 0.36 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 26.08 p-value of test : 0.40 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 23.52 p-value of test : 0.49 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 19.17 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:01:08.72 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 : 34.95 p-value of test : 0.52 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 35 ChiSquare statistic : 54.18 p-value of test : 0.02 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 25 ChiSquare statistic : 30.12 p-value of test : 0.22 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 24 ChiSquare statistic : 27.20 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 17 ChiSquare statistic : 23.83 p-value of test : 0.12 ----------------------------------------------- CPU time used : 00:01:09.14 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 : 179.50 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 157.30 p-value of test : 0.25 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 495.44 p-value of test : 0.55 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 114.48 p-value of test : 0.91 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 80.22 p-value of test : 0.29 ----------------------------------------------- CPU time used : 00:01:25.04 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 : 180.48 p-value of test : 0.03 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 146 ChiSquare statistic : 150.13 p-value of test : 0.39 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 500 ChiSquare statistic : 493.08 p-value of test : 0.58 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 136 ChiSquare statistic : 133.73 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 74 ChiSquare statistic : 79.25 p-value of test : 0.32 ----------------------------------------------- CPU time used : 00:01:21.79 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 : 380.70 p-value of test : 0.54 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 427.61 p-value of test : 0.06 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 4856.14 p-value of test : 0.93 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 378.90 p-value of test : 0.48 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 183.91 p-value of test : 0.79 ----------------------------------------------- CPU time used : 00:01:23.43 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 : 420.83 p-value of test : 0.09 ----------------------------------------------- Test on the values of the Statistic M Number of degrees of freedom : 384 ChiSquare statistic : 425.49 p-value of test : 0.07 ----------------------------------------------- Test on the values of the Statistic J Number of degrees of freedom : 5000 ChiSquare statistic : 5014.35 p-value of test : 0.44 ----------------------------------------------- Test on the values of the Statistic R Number of degrees of freedom : 378 ChiSquare statistic : 392.00 p-value of test : 0.30 ----------------------------------------------- Test on the values of the Statistic C Number of degrees of freedom : 200 ChiSquare statistic : 188.59 p-value of test : 0.71 ----------------------------------------------- CPU time used : 00:01:28.59 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin scomp_LinearComp test: ----------------------------------------------- N = 1, n = 400020, r = 0, s = 1 ----------------------------------------------- Number of degrees of freedom : 12 Chi2 statistic for size of jumps : 14.50 p-value of test : 0.27 ----------------------------------------------- Normal statistic for number of jumps : 0.83 p-value of test : 0.20 ----------------------------------------------- CPU time used : 00:02:38.22 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 : 5.93 p-value of test : 0.92 ----------------------------------------------- Normal statistic for number of jumps : 0.16 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:02:36.62 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+ : 0.41 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.025 p-value of test : 0.97 Anderson-Darling statistic = A2 : 1.54 p-value of test : 0.17 Tests on the sum of all N observations Standardized normal statistic : -1.43 p-value of test : 0.92 Sample variance : 0.85 p-value of test : 0.57 ----------------------------------------------- CPU time used : 00:01:31.65 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+ : 0.30 p-value of test : 0.14 Kolmogorov-Smirnov- statistic = D- : 0.15 p-value of test : 0.57 Anderson-Darling statistic = A2 : 1.43 p-value of test : 0.19 Tests on the sum of all N observations Standardized normal statistic : -5.43e-3 p-value of test : 0.50 Sample variance : 2.00 p-value of test : 0.03 ----------------------------------------------- CPU time used : 00:01:34.39 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sspectral_Fourier3 test: ----------------------------------------------- N = 100000, n = 16384, r = 0, s = 3, k = 14 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 8.99e-3 p-value of test : 0.51 Kolmogorov-Smirnov- statistic = D- : 8.80e-3 p-value of test : 0.53 Anderson-Darling statistic = A2 : 0.50 p-value of test : 0.75 ----------------------------------------------- CPU time used : 00:00:57.10 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+ : 7.22e-3 p-value of test : 0.65 Kolmogorov-Smirnov- statistic = D- : 0.010 p-value of test : 0.43 Anderson-Darling statistic = A2 : 0.34 p-value of test : 0.90 ----------------------------------------------- CPU time used : 00:00:55.63 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 : 15.27 p-value of test : 0.05 ----------------------------------------------- Global longest run of 1 : 31.00 p-value of test : 0.69 ----------------------------------------------- CPU time used : 00:01:55.87 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 : 7.17 p-value of test : 0.52 ----------------------------------------------- Global longest run of 1 : 32.00 p-value of test : 0.50 ----------------------------------------------- CPU time used : 00:01:58.52 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 0, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.33 p-value of test : 0.10 Kolmogorov-Smirnov- statistic = D- : 0.19 p-value of test : 0.41 Anderson-Darling statistic = A2 : 1.70 p-value of test : 0.14 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 178.25 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:04:08.79 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_PeriodsInStrings test: ----------------------------------------------- N = 10, n = 500000000, r = 20, s = 10 ----------------------------------------------- Kolmogorov-Smirnov+ statistic = D+ : 0.26 p-value of test : 0.21 Kolmogorov-Smirnov- statistic = D- : 0.13 p-value of test : 0.66 Anderson-Darling statistic = A2 : 1.19 p-value of test : 0.27 Test on the sum of all N observations Number of degrees of freedom : 200 Chi-square statistic : 176.74 p-value of test : 0.88 ----------------------------------------------- CPU time used : 00:04:14.79 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+ : 0.49 p-value of test : 5.4e-3 Kolmogorov-Smirnov- statistic = D- : 0.11 p-value of test : 0.74 Anderson-Darling statistic = A2 : 2.15 p-value of test : 0.08 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9809.41 p-value of test : 0.91 ----------------------------------------------- CPU time used : 00:01:19.72 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+ : 0.22 p-value of test : 0.32 Kolmogorov-Smirnov- statistic = D- : 0.079 p-value of test : 0.84 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.77 Test on the sum of all N observations Number of degrees of freedom : 10000 Chi-square statistic : 9916.73 p-value of test : 0.72 ----------------------------------------------- CPU time used : 00:01:25.13 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 1000000000, r = 10, s = 10, L = 30 ----------------------------------------------- Normal statistic : -1.07 p-value of test : 0.86 ----------------------------------------------- CPU time used : 00:01:42.13 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 300 ----------------------------------------------- Normal statistic : -0.83 p-value of test : 0.80 ----------------------------------------------- CPU time used : 00:01:32.22 Generator state: N/A *********************************************************** HOST = tallinn, Linux stdin sstring_HammingCorr test: ----------------------------------------------- N = 1, n = 100000000, r = 10, s = 10, L = 1200 ----------------------------------------------- Normal statistic : -2.14 p-value of test : 0.98 ----------------------------------------------- CPU time used : 00:05:57.97 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- : 0.063 p-value of test : 0.89 Anderson-Darling statistic = A2 : 0.65 p-value of test : 0.60 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4800.15 p-value of test : 0.82 ----------------------------------------------- CPU time used : 00:02:40.99 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+ : 0.38 p-value of test : 0.04 Kolmogorov-Smirnov- statistic = D- : 3.79e-3 p-value of test : 0.9961 Anderson-Darling statistic = A2 : 2.76 p-value of test : 0.04 Test on the sum of all N observations Number of degrees of freedom : 4890 Chi-square statistic : 4655.54 p-value of test : 0.9919 ----------------------------------------------- CPU time used : 00:02:35.11 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 : 4132.28 p-value of test : 0.43 ----------------------------------------------- CPU time used : 00:01:54.15 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 : 3876.25 p-value of test : 0.9965 ----------------------------------------------- CPU time used : 00:01:53.77 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 :11887.55 p-value of test : 0.34 ----------------------------------------------- CPU time used : 00:02:03.43 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 :11732.04 p-value of test : 0.73 ----------------------------------------------- CPU time used : 00:02:00.18 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 : 54.75 p-value of test : 0.45 ----------------------------------------------- Total number of bits: 8000003901 Normal statistic for number of bits : 0.031 p-value of test : 0.49 ----------------------------------------------- CPU time used : 00:01:36.40 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 : 59.30 p-value of test : 0.29 ----------------------------------------------- Total number of bits: 8000016159 Normal statistic for number of bits : 0.13 p-value of test : 0.45 ----------------------------------------------- CPU time used : 00:01:35.95 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+ : 0.40 p-value of test : 0.03 Kolmogorov-Smirnov- statistic = D- : 0.012 p-value of test : 0.99 Anderson-Darling statistic = A2 : 2.83 p-value of test : 0.03 Tests on the sum of all N observations Standardized normal statistic : -2.27 p-value of test : 0.99 Sample variance : 0.76 p-value of test : 0.65 ----------------------------------------------- CPU time used : 00:03:13.45 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+ : 0.12 p-value of test : 0.70 Kolmogorov-Smirnov- statistic = D- : 0.24 p-value of test : 0.27 Anderson-Darling statistic = A2 : 0.47 p-value of test : 0.77 Tests on the sum of all N observations Standardized normal statistic : 0.34 p-value of test : 0.37 Sample variance : 0.87 p-value of test : 0.55 ----------------------------------------------- CPU time used : 00:02:52.81 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+ : 0.13 p-value of test : 0.65 Kolmogorov-Smirnov- statistic = D- : 0.26 p-value of test : 0.22 Anderson-Darling statistic = A2 : 0.81 p-value of test : 0.47 Tests on the sum of all N observations Standardized normal statistic : 0.78 p-value of test : 0.22 Sample variance : 1.23 p-value of test : 0.27 ----------------------------------------------- CPU time used : 00:03:12.09 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+ : 0.36 p-value of test : 0.06 Kolmogorov-Smirnov- statistic = D- : 0.011 p-value of test : 0.99 Anderson-Darling statistic = A2 : 2.36 p-value of test : 0.06 Tests on the sum of all N observations Standardized normal statistic : -2.11 p-value of test : 0.98 Sample variance : 1.04 p-value of test : 0.40 ----------------------------------------------- CPU time used : 00:02:56.00 Generator state: N/A ========= Summary results of BigCrush ========= Version: TestU01 1.2.3 Generator: stdin Number of statistics: 160 Total CPU time: 05:14:52.40 The following tests gave p-values outside [0.001, 0.9990]: (eps means a value < 1.0e-300): (eps1 means a value < 1.0e-15): Test p-value ---------------------------------------------- 12 CollisionOver, t = 21 0.9995 ---------------------------------------------- All other tests were passed # # End: 2019-10-09 00:27:25 # # Exit value: 0 # Bytes used: 1428421230592 >= 2^40 (1.4 TB) # # Test duration: 325.79971080135 minutes #